id
float64 706
1.8k
| title
stringlengths 1
343
| abstract
stringlengths 6
6.09k
| categories
stringlengths 5
125
| processed_abstract
stringlengths 2
5.96k
| tokenized_abstract
stringlengths 8
8.74k
| centroid
stringlengths 2.1k
2.17k
|
|---|---|---|---|---|---|---|
706.2214
|
Nanorheology of viscoelastic shells: Applications to viral capsids
|
We study the microrheology of nanoparticle shells [Dinsmore et al. Science
298, 1006 (2002)] and viral capsids [Ivanovska et al. PNAS 101, 7600 (2004)] by
computing the mechanical response function and thermal fluctuation spectrum of
a viscoelastic spherical shell that is permeable to the surrounding solvent. We
determine analytically the damped dynamics of the shear, bend, and compression
modes of the shell coupled to the solvent both inside and outside the sphere in
the zero Reynolds number limit. We identify fundamental length and time scales
in the system, and compute the thermal correlation function of displacements of
antipodal points on the sphere and the mechanical response to pinching forces
applied at these points. We describe how such a frequency-dependent antipodal
correlation and/or response function, which should be measurable in new
AFM-based microrheology experiments, can probe the viscoelasticity of these
synthetic and biological shells constructed of nanoparticles.
|
cond-mat.soft q-bio.SC
|
we study the microrheology of nanoparticle shells dinsmore et al science 298 1006 2002 and viral capsids ivanovska et al pnas 101 7600 2004 by computing the mechanical response function and thermal fluctuation spectrum of a viscoelastic spherical shell that is permeable to the surrounding solvent we determine analytically the damped dynamics of the shear bend and compression modes of the shell coupled to the solvent both inside and outside the sphere in the zero reynolds number limit we identify fundamental length and time scales in the system and compute the thermal correlation function of displacements of antipodal points on the sphere and the mechanical response to pinching forces applied at these points we describe how such a frequencydependent antipodal correlation andor response function which should be measurable in new afmbased microrheology experiments can probe the viscoelasticity of these synthetic and biological shells constructed of nanoparticles
|
[['we', 'study', 'the', 'microrheology', 'of', 'nanoparticle', 'shells', 'dinsmore', 'et', 'al', 'science', '298', '1006', '2002', 'and', 'viral', 'capsids', 'ivanovska', 'et', 'al', 'pnas', '101', '7600', '2004', 'by', 'computing', 'the', 'mechanical', 'response', 'function', 'and', 'thermal', 'fluctuation', 'spectrum', 'of', 'a', 'viscoelastic', 'spherical', 'shell', 'that', 'is', 'permeable', 'to', 'the', 'surrounding', 'solvent', 'we', 'determine', 'analytically', 'the', 'damped', 'dynamics', 'of', 'the', 'shear', 'bend', 'and', 'compression', 'modes', 'of', 'the', 'shell', 'coupled', 'to', 'the', 'solvent', 'both', 'inside', 'and', 'outside', 'the', 'sphere', 'in', 'the', 'zero', 'reynolds', 'number', 'limit', 'we', 'identify', 'fundamental', 'length', 'and', 'time', 'scales', 'in', 'the', 'system', 'and', 'compute', 'the', 'thermal', 'correlation', 'function', 'of', 'displacements', 'of', 'antipodal', 'points', 'on', 'the', 'sphere', 'and', 'the', 'mechanical', 'response', 'to', 'pinching', 'forces', 'applied', 'at', 'these', 'points', 'we', 'describe', 'how', 'such', 'a', 'frequencydependent', 'antipodal', 'correlation', 'andor', 'response', 'function', 'which', 'should', 'be', 'measurable', 'in', 'new', 'afmbased', 'microrheology', 'experiments', 'can', 'probe', 'the', 'viscoelasticity', 'of', 'these', 'synthetic', 'and', 'biological', 'shells', 'constructed', 'of', 'nanoparticles']]
|
[-0.11264920556115815, 0.15786122577911657, -0.08555366921872418, 0.011233133639002012, -0.04515486097403078, -0.07119895694712694, 0.02546788681259689, 0.3501561512045252, -0.26730383845117306, -0.30040838664475206, 0.04179367493149281, -0.30583327367316493, -0.18506843154156943, 0.14495508237612537, -0.022175176127752314, 0.05628991566482, -0.004579610187243411, -0.06567643800452869, 0.0009115574341396698, -0.19199993732359466, 0.22313475626934734, 0.10425870579072377, 0.28818426801202196, 0.06097440082925863, 0.07549649477490068, 0.023007329625316843, 0.0005810216955271446, 0.06820501733778252, -0.21887567327480106, 0.048021846612553216, 0.20716844322426672, 0.035757504949692195, 0.2075955102803467, -0.4586591522545657, -0.21449248638883647, 0.07449303619149658, 0.11974045602578877, 0.0883382543179323, 0.008523417123392897, -0.23450877020756403, 0.006938599399290979, -0.12547034719803682, -0.16187666959012859, -0.061490671059194334, 0.08273947913241703, 0.060986081683141596, -0.2327548376763136, 0.13410266518702782, 0.04010516812882593, 0.060031134187334426, -0.0866955880062758, -0.0796169679468019, -0.03911647842162185, 0.11804787453567972, 0.03542306101096276, -0.0033382598081112113, 0.25005751993416603, -0.10555323951606017, -0.022789155457252894, 0.37921561778704116, -0.0391411690361565, -0.1660875253405215, 0.2355888473636393, -0.1708945009967364, -0.06161846954071532, 0.15383959533129302, 0.21132530185018872, 0.09920163031266485, -0.13257079688547593, 0.04639761673509687, -0.04701633256950623, 0.18481324314729541, 0.13978228561205064, -0.03362193805514835, 0.22689187118602502, 0.13295756143957582, -0.017008619046666555, 0.16814578672427968, -0.14138202399772126, -0.05214779423598278, -0.27457795435637106, -0.1608020001052258, -0.2168107653835452, 0.038618456012853936, -0.11020966882400292, -0.1999020024151024, 0.36481224876640933, 0.0848489807071423, 0.15939934642180256, 0.026326164982391573, 0.22215785917877737, 0.03460872368628366, 0.022150338595060423, 0.07887987190689374, 0.3012562293087184, 0.166678504561585, 0.09703892575796796, -0.29644796587631894, -0.011312075612497412, 0.05224948360248365]
|
706.2215
|
Constraints on the spectral index for the inflation models in string
landscape
|
We conjecture that the inflation models with trans-Planckian excursions in
the field space should be in the swampland. We check this conjecture in a few
examples and investigate the constraints on the spectral index for the
slow-roll inflation model in string landscape where the variation of inflaton
during the period of inflation is less than the Planck scale $M_p$. A red
primordial power spectrum with a lower bound on the spectral index is
preferred. Both the tensor-scalar ratio and the running can be ignored.
|
hep-th astro-ph
|
we conjecture that the inflation models with transplanckian excursions in the field space should be in the swampland we check this conjecture in a few examples and investigate the constraints on the spectral index for the slowroll inflation model in string landscape where the variation of inflaton during the period of inflation is less than the planck scale m_p a red primordial power spectrum with a lower bound on the spectral index is preferred both the tensorscalar ratio and the running can be ignored
|
[['we', 'conjecture', 'that', 'the', 'inflation', 'models', 'with', 'transplanckian', 'excursions', 'in', 'the', 'field', 'space', 'should', 'be', 'in', 'the', 'swampland', 'we', 'check', 'this', 'conjecture', 'in', 'a', 'few', 'examples', 'and', 'investigate', 'the', 'constraints', 'on', 'the', 'spectral', 'index', 'for', 'the', 'slowroll', 'inflation', 'model', 'in', 'string', 'landscape', 'where', 'the', 'variation', 'of', 'inflaton', 'during', 'the', 'period', 'of', 'inflation', 'is', 'less', 'than', 'the', 'planck', 'scale', 'm_p', 'a', 'red', 'primordial', 'power', 'spectrum', 'with', 'a', 'lower', 'bound', 'on', 'the', 'spectral', 'index', 'is', 'preferred', 'both', 'the', 'tensorscalar', 'ratio', 'and', 'the', 'running', 'can', 'be', 'ignored']]
|
[-0.1568211807115447, 0.21641313517466187, -0.13745878755469762, 0.14950909741206228, -0.07482766315141427, -0.14272045060005484, -0.01310186323133253, 0.31077464834033025, -0.19716385146602988, -0.3460362262225577, 0.12592571322429216, -0.20818049384147994, -0.10625856654119811, 0.17904335651491282, -0.09186436946592516, 0.00638296849848259, 0.026231762114635092, 0.04423231260097098, -0.004247826033471418, -0.27257364323096617, 0.2992093913878004, 0.14458655823199523, 0.20816334462281139, 0.04218689419351341, -0.027663226511018973, -0.09038241336210853, 0.012077315780819239, -0.024488715383215873, -0.18514048613351838, 0.11554471865141143, 0.12085698700394416, 0.1527577743954247, 0.23708146167475552, -0.3703275637928441, -0.2564618062349923, 0.19436331745237112, 0.1381969300758404, 0.09857761023920916, 0.00977444356595654, -0.21623703293291674, 0.08993770001411792, -0.16117056226357818, -0.07340867923838752, 0.000604826302844144, 0.031223569377159168, -0.09185436139592812, -0.28873757068954764, 0.08837566361762583, -0.025009904921587025, 0.025252732814156582, -0.0742411906609223, -0.06594036424732101, -0.040928081736811214, 0.020394367570545347, 0.1498285681605228, 0.02761690870725683, 0.11761643448179322, -0.16490931375024265, -0.04968326097808867, 0.39294504225697546, -0.17499476032407119, -0.12538894902848238, 0.055845189052412196, -0.16869358596436324, -0.19498991489499098, 0.05634508166639578, 0.11081800747862351, 0.12173100559985392, -0.03440889544435777, 0.19285962226595507, 0.0383781986754565, 0.2156790853256271, 0.13163349620022236, 0.02672352697811134, 0.31496672440941137, 0.11761052519570858, 0.07525377612217285, 0.11476907202519387, -0.07917672522654313, -0.08476996807093244, -0.3555054085972231, -0.0756549383936328, -0.20562906390183516, 0.0500657010235868, -0.20649771492649702, -0.16257586881207922, 0.4282485564860205, 0.1329742092140285, 0.24652831555743301, 0.11044197086067427, 0.26988262292884646, 0.1531241515185684, 0.05836306999585109, 0.06950085471838802, 0.31653955180774485, 0.09890275938094073, 0.11864635720849037, -0.20268041163771636, -0.021403812088205347, 0.04211637152669331]
|
706.2216
|
Schwinger Pair Production at Finite Temperature in Scalar QED
|
In scalar QED we study the Schwinger pair production from an initial ensemble
of charged bosons when an electric field is turned on for a finite period
together with or without a constant magnetic field. The scalar QED Hamiltonian
depends on time through the electric field, which causes the initial ensemble
of bosons to evolve out of equilibrium. Using the Liouville-von Neumann method
for the density operator and quantum states for each momentum mode, we
calculate the Schwinger pair-production rate at finite temperature, which is
the pair-production rate from the vacuum times a thermal factor of the
Bose-Einstein distribution.
|
hep-th
|
in scalar qed we study the schwinger pair production from an initial ensemble of charged bosons when an electric field is turned on for a finite period together with or without a constant magnetic field the scalar qed hamiltonian depends on time through the electric field which causes the initial ensemble of bosons to evolve out of equilibrium using the liouvillevon neumann method for the density operator and quantum states for each momentum mode we calculate the schwinger pairproduction rate at finite temperature which is the pairproduction rate from the vacuum times a thermal factor of the boseeinstein distribution
|
[['in', 'scalar', 'qed', 'we', 'study', 'the', 'schwinger', 'pair', 'production', 'from', 'an', 'initial', 'ensemble', 'of', 'charged', 'bosons', 'when', 'an', 'electric', 'field', 'is', 'turned', 'on', 'for', 'a', 'finite', 'period', 'together', 'with', 'or', 'without', 'a', 'constant', 'magnetic', 'field', 'the', 'scalar', 'qed', 'hamiltonian', 'depends', 'on', 'time', 'through', 'the', 'electric', 'field', 'which', 'causes', 'the', 'initial', 'ensemble', 'of', 'bosons', 'to', 'evolve', 'out', 'of', 'equilibrium', 'using', 'the', 'liouvillevon', 'neumann', 'method', 'for', 'the', 'density', 'operator', 'and', 'quantum', 'states', 'for', 'each', 'momentum', 'mode', 'we', 'calculate', 'the', 'schwinger', 'pairproduction', 'rate', 'at', 'finite', 'temperature', 'which', 'is', 'the', 'pairproduction', 'rate', 'from', 'the', 'vacuum', 'times', 'a', 'thermal', 'factor', 'of', 'the', 'boseeinstein', 'distribution']]
|
[-0.1339610702725071, 0.2701869862970797, -0.0852309567148261, 0.04839530990769466, 0.00447509580555212, -0.11734175974634861, 0.030666838228382697, 0.3270137312074164, -0.19847825003054106, -0.22711889641923885, 0.02824825956603757, -0.2770991823918214, 0.006947860166411659, 0.17221304855422315, 0.07492056879393681, 0.04975902793383358, 0.04438205295703327, 0.12642561796713958, -0.04560953521668309, -0.23644190104066798, 0.37527770118204634, 0.07014814949937805, 0.2863694926197029, 0.0732462522950061, 0.12047436347965038, 0.05966675079267735, 0.04001396055470898, -0.009704426803503825, -0.09151640084261696, 0.005828250356540649, 0.11144123786844012, 0.031726559379486124, 0.2379804751412435, -0.4075801966693064, -0.1591863614516427, 0.12530141324745586, 0.13455931376195465, 0.18469853419340168, -0.0685039362129332, -0.29485024609650023, 0.02503653106307893, -0.17392295842632802, -0.14867508919401604, -0.04439612329382487, 0.011086254332430961, -0.03164407271524948, -0.34793092841000267, 0.10113963520041469, -0.02014432495666875, 0.05237498357562781, -0.09819233342487779, -0.08820190060545098, -0.037046197813587506, 0.04142731561876993, 0.07554112344679206, 0.07846954314630818, 0.2112675526866106, -0.1746367198330435, -0.11668405478886056, 0.3498169540267701, -0.1594112742047832, -0.18646363741859343, 0.11999183471991935, -0.15197181776918547, -0.04328770702704787, 0.14977668961415988, 0.17889059887201797, 0.12197929538899299, -0.1612711235902312, 0.13433371241042164, 0.020853034261792823, 0.16095256904902105, 0.06454469969101025, 0.026313306773175494, 0.26786425106716577, 0.09967822461351376, 0.032322082586229, 0.16583142944169466, -0.06526444564018437, -0.1569228295678969, -0.34309664072769913, -0.1871702615830182, -0.1841967905682836, 0.14497582627592062, -0.09635323770517705, -0.20061968806942906, 0.39790082834849155, 0.11835452294767354, 0.19894709948901879, 0.0007537500768184963, 0.2813008801936351, 0.22093852722283566, 0.05236386724778879, 0.08746366275267468, 0.260759813391199, 0.17471324926185788, 0.11601369896659045, -0.3210506945744985, -0.058501003357120836, 0.10203905634092864]
|
706.2217
|
Unusual superexchange pathways in a Ni triangular lattice of
NiGa$_2$S$_4$ with negative charge-transfer energy
|
We have studied the electronic structure of the Ni triangular lattice in
NiGa$_2$S$_4$ using photoemission spectroscopy and subsequent model
calculations. The cluster-model analysis of the Ni 2$p$ core-level spectrum
shows that the S 3$p$ to Ni 3$d$ charge-transfer energy is $\sim$ -1 eV and the
ground state is dominated by the $d^9L$ configuration ($L$ is a S 3$p$ hole).
Cell perturbation analysis for the NiS$_2$ triangular lattice indicates that
the strong S 3$p$ hole character of the ground state provides the enhanced
superexchange interaction between the third nearest neighbor sites.
|
cond-mat.str-el
|
we have studied the electronic structure of the ni triangular lattice in niga_2s_4 using photoemission spectroscopy and subsequent model calculations the clustermodel analysis of the ni 2p corelevel spectrum shows that the s 3p to ni 3d chargetransfer energy is sim 1 ev and the ground state is dominated by the d9l configuration l is a s 3p hole cell perturbation analysis for the nis_2 triangular lattice indicates that the strong s 3p hole character of the ground state provides the enhanced superexchange interaction between the third nearest neighbor sites
|
[['we', 'have', 'studied', 'the', 'electronic', 'structure', 'of', 'the', 'ni', 'triangular', 'lattice', 'in', 'niga_2s_4', 'using', 'photoemission', 'spectroscopy', 'and', 'subsequent', 'model', 'calculations', 'the', 'clustermodel', 'analysis', 'of', 'the', 'ni', '2p', 'corelevel', 'spectrum', 'shows', 'that', 'the', 's', '3p', 'to', 'ni', '3d', 'chargetransfer', 'energy', 'is', 'sim', '1', 'ev', 'and', 'the', 'ground', 'state', 'is', 'dominated', 'by', 'the', 'd9l', 'configuration', 'l', 'is', 'a', 's', '3p', 'hole', 'cell', 'perturbation', 'analysis', 'for', 'the', 'nis_2', 'triangular', 'lattice', 'indicates', 'that', 'the', 'strong', 's', '3p', 'hole', 'character', 'of', 'the', 'ground', 'state', 'provides', 'the', 'enhanced', 'superexchange', 'interaction', 'between', 'the', 'third', 'nearest', 'neighbor', 'sites']]
|
[-0.14043661835865023, 0.12810193913664375, 0.04128300666997439, 0.08106726072493187, 0.06088717127731593, -0.16430063873236433, 0.10500175226741376, 0.38987676353518214, -0.25168503762950095, -0.27548437251636154, -0.05055775489328492, -0.4229656933398729, -0.04922649779179123, 0.0723596597979829, 0.16293647704290204, -0.03387107752430975, 0.06450614619874552, -0.041008121558998745, -0.11552900764201715, -0.15090949292519665, 0.30206101874329067, 0.08322104301533839, 0.2688637691487171, 0.10520142981301198, -0.0511656542219682, 0.05330349149423118, 0.1162759294272976, -0.020109353934969293, -0.14992979857524508, 0.13449354878521466, 0.20364387928615482, -0.014437547727917017, 0.1889785686220053, -0.4241274046303516, -0.16880319917605918, -0.02918519809570038, 0.11526448218926286, 0.1357607843584559, -0.03726652877606724, -0.3008643282901789, 0.08275219627520007, -0.16405470305111972, -0.10591705174844586, -0.09001121732401086, 0.03716897792863042, -0.008019357736567768, -0.27172670842820695, 0.09982497136244613, 0.07968790606030504, 0.07136871292328742, -0.14848931474883234, -0.16238467705572088, -0.18199054430123796, 0.06915680008804363, 0.01041576964388277, 0.08961501416718859, 0.06986084096447638, -0.03144096283325821, -0.1065154437870415, 0.38895394353802953, -0.0542573875360442, -0.035186172954821855, 0.13853036910504773, -0.2066920438749988, -0.09018877270014099, 0.19630058645532372, 0.01628472323246886, 0.11180838856720522, -0.04009423838219386, 0.1662554279233988, -0.03835831769857179, 0.27326978868647905, -0.0026554852054360206, 0.02372970434201337, 0.17384849751389095, 0.1769365050445384, 0.02012447660443572, 0.08462148961307628, -0.22517251758574602, -0.05753623661742117, -0.19996451767517276, -0.1585108483248793, -0.27010149277715284, 0.08489823830837195, -0.07391683766167098, -0.15895142090203387, 0.38645712737768384, 0.02353257474520903, 0.20711791860672196, -0.1359134790686409, 0.19644226433102335, 0.07824499708511395, -0.004731104667350817, 0.013340898483384694, 0.2576296340067233, 0.17317077317902965, 0.11567939077033086, -0.33701176243949305, 0.05292105926410033, 0.1320198542344269]
|
706.2218
|
The analog of the Schauder inequality for closed surfaces in Euclidean
spaces
|
The analog of the Schauder inequality for closed surfaces in Euclidean spaces
is obtained in this article.
|
math.DG math.AP
|
the analog of the schauder inequality for closed surfaces in euclidean spaces is obtained in this article
|
[['the', 'analog', 'of', 'the', 'schauder', 'inequality', 'for', 'closed', 'surfaces', 'in', 'euclidean', 'spaces', 'is', 'obtained', 'in', 'this', 'article']]
|
[-0.14596395588972988, 0.048598429078564924, -0.08997020077453378, 0.16263861011932879, -0.006986478781875442, -0.07371790071620661, 0.016097916399731356, 0.3321247137946022, -0.2912665373262237, -0.12301845760906444, 0.12677099910455153, -0.2826787216917557, -0.1619651592336595, 0.2813304828151184, -0.23741628131007447, 0.07795505642014391, 0.04149786300738068, 0.07754318120286745, -0.15776781300904558, -0.2710182847564711, 0.4424285919350736, -0.06109984065679943, 0.23613812314236865, 0.029812890269300518, 0.08763662818819284, 0.04350933942067273, 0.018623645362608573, 0.005370719029622919, -0.24163959630052834, 0.25169531392919664, 0.33233573725994897, 0.0572253210360513, 0.22634953687734463, -0.3982320437755655, -0.20202199588803685, 0.20917102338417487, 0.1535659812609939, -0.01205535386415089, -0.08961018383064691, -0.27270074369495406, 0.005013978218331057, -0.03607069635215927, -0.2443396807374323, -0.014316060580313206, 0.010010062004713452, -0.031083892044775626, -0.2621466209016302, 0.05983493112794617, 0.11683498092872255, 0.14567185554872542, -0.19221646514009028, -0.06887022236033398, 0.017689814681515974, 0.045872965718016905, -0.020323028308613336, 0.13997633596334388, -0.015541538924855344, 0.022325089023284176, -0.1124033202033709, 0.3235696685664794, -0.04451493940809194, -0.3288087912780397, 0.04147892511066269, -0.18679164015852354, -0.15704992720309427, 0.05013179494177594, 0.13991975126897588, 0.14341940873247735, -0.15383613739600954, 0.2387960940489874, -0.13130751189173145, -0.00893526732483331, 0.15109843612812898, 0.07134037245722379, 0.03737344307934537, 0.12384900406879537, 0.11891070709509008, 0.179694016737973, 0.010589863670140724, -0.0939681323019185, -0.41169265438528624, -0.33147284739157734, -0.2615420112715048, 0.11688800556037356, -0.11996754206826582, -0.18763980444739847, 0.266286425621194, 0.000988834592349389, 0.09374921856557622, 0.08271141788538765, 0.24835825711488724, 0.05095286448212231, 0.002943952184389619, 0.060294825720655566, 0.27417237552649837, 0.1718004104845664, 0.10225858276381213, -0.06629744591191411, -0.04660165383863975, 0.27771022094084935]
|
706.2219
|
On the derivative of the Minkowski question mark function $?(x)$
|
Let $ x = [0;a_1,a_2,...]$ be the decomposition of the irrational number $x
\in [0,1]$ into regular continued fraction. Then for the derivative of the
Minkowski function $?(x)$ we prove that $?'(x) = +\infty$ provided $
\limsup_{t\to \infty}\frac{a_1+...+a_t}{t} <\kappa_1 =\frac{2\log
\lambda_1}{\log 2} = 1.388^+$, and $?'(x) = 0$ provided $ \liminf_{t\to
\infty}\frac{a_1+...+a_t}{t} >\kappa_2 = \frac{4L_5-5L_4}{L_5-L_4}= 4.401^+$
(here $ L_j = \log (\frac{j+\sqrt{j^2+4}}{2}) - j\cdot\frac{\log 2}{2}$).
Constants $\kappa_1,\kappa_2$ are the best possible. Also we prove that $?'(x)
= +\infty$ holds for all $x$ with partial quotients bounded by 4.
|
math.NT
|
let x 0a_1a_2 be the decomposition of the irrational number x in 01 into regular continued fraction then for the derivative of the minkowski function x we prove that x infty provided limsup_tto inftyfraca_1a_tt kappa_1 frac2log lambda_1log 2 1388 and x 0 provided liminf_tto inftyfraca_1a_tt kappa_2 frac4l_55l_4l_5l_4 4401 here l_j log fracjsqrtj242 jcdotfraclog 22 constants kappa_1kappa_2 are the best possible also we prove that x infty holds for all x with partial quotients bounded by 4
|
[['let', 'x', '0a_1a_2', 'be', 'the', 'decomposition', 'of', 'the', 'irrational', 'number', 'x', 'in', '01', 'into', 'regular', 'continued', 'fraction', 'then', 'for', 'the', 'derivative', 'of', 'the', 'minkowski', 'function', 'x', 'we', 'prove', 'that', 'x', 'infty', 'provided', 'limsup_tto', 'inftyfraca_1a_tt', 'kappa_1', 'frac2log', 'lambda_1log', '2', '1388', 'and', 'x', '0', 'provided', 'liminf_tto', 'inftyfraca_1a_tt', 'kappa_2', 'frac4l_55l_4l_5l_4', '4401', 'here', 'l_j', 'log', 'fracjsqrtj242', 'jcdotfraclog', '22', 'constants', 'kappa_1kappa_2', 'are', 'the', 'best', 'possible', 'also', 'we', 'prove', 'that', 'x', 'infty', 'holds', 'for', 'all', 'x', 'with', 'partial', 'quotients', 'bounded', 'by', '4']]
|
[-0.1829398043885611, 0.15859441561759383, -0.007689841845801667, 0.04286257768778697, -0.015762414128614077, -0.16528585728635822, 0.08723499813535507, 0.3534598136185736, -0.30721045139691106, -0.1503922191374274, 0.08936123420869041, -0.33883349570459215, -0.06882870763175837, 0.16099464102729183, -0.03934272704645991, -0.0028102291558963666, -0.06313049473312171, 0.07775103421611847, -0.09265448888038298, -0.3004500617853541, 0.2593338519429275, -0.1455772423684813, 0.12511189173454879, 0.05041621250194916, 0.15369466000466028, -0.019426066990253395, 0.04772496115470278, -0.020603020854321294, -0.2358013857638993, 0.018711855949705765, 0.2650851100899171, 0.11587674413011342, 0.21706402884202375, -0.3157149792203437, -0.11285604973850043, 0.21121058943748905, 0.17655143954291724, -0.15816410718674678, 0.03141216982992879, -0.2272808231966759, 0.18566567298915723, -0.1138891503451041, -0.17246897934693034, -0.07204722897891981, 0.16355858948351681, 0.06724571103257114, -0.33167077069157275, 0.048589142939949787, 0.0964813479559793, 0.03415514318528923, -0.03685122095993248, -0.2484543557562258, -0.10476501745279825, 0.04502119774511759, 0.026703765818282314, 0.18406775748303186, 0.047177308468499046, -0.01915593622117371, -0.01701704551047389, 0.3165652048976525, -0.10540036993452172, -0.22632051245444387, 0.03724005201492337, -0.2816732066811697, -0.15734969852222264, 0.1541928172975294, 0.06103026782849169, 0.20114470507436688, 0.010660361107168854, 0.2501279639638623, -0.07567177560396385, 0.18670003990764203, 0.11318281235551272, 0.03515666418209456, 0.06410031090827956, 0.04996431243700394, 0.06858629338524264, 0.07532656149419052, -0.028298128261298374, 0.0712535736881588, -0.3853234783003944, -0.1770522811625531, -0.11982743637939997, 0.2528156647323698, -0.1870668997527927, -0.08656558529406354, 0.21714774699395764, 0.05820081201449469, 0.22072873213260935, 0.15114035989171354, 0.15869981603885908, 0.09562127712052788, -0.06836384240591871, 0.10083351743178091, 0.08293141473246657, 0.1351445526950925, 0.00520806931519368, -0.111672292213779, 0.00035949398264072943, 0.1310832129487265]
|
706.222
|
Observation of photoinduced phase transition in phase-separated
Pr$_{0.55}$(Ca$_{1-y}$Sr$_{y}$)$_{0.45}$MnO$_3$ thin films via x-ray
photoemission spectroscopy
|
Perovskite manganite thin films, $Pr_{0.55}(Ca_{1-y}Sr_y)_{0.45}MnO_3$, have
been studied using x-ray photoemission spectroscopy in order to clarify the
consequence of the competition between ferromagnetic metal (FM) and
charge-orbital ordered insulator (COOI). Films with $y$ = 0.40 undergo uniform
paramagnetic insulator to FM transition. On the other hand, in films with $y$ =
0.25, the composition near the bicritical point, phase separation of COOI and
FM domains is indicated by the spectral change below 125 K. Interestingly,
between 50 K and 70 K, the visible laser illumination transfers the COOI-like
spectra obtained in cooling process to the FM-like spectra obtained in warming
process. This indicates that the photoinduced IMT is governed by the increase
of the FM volume fraction and is deeply related to the phase separation between
the FM and COOI states.
|
cond-mat.str-el
|
perovskite manganite thin films pr_055ca_1ysr_y_045mno_3 have been studied using xray photoemission spectroscopy in order to clarify the consequence of the competition between ferromagnetic metal fm and chargeorbital ordered insulator cooi films with y 040 undergo uniform paramagnetic insulator to fm transition on the other hand in films with y 025 the composition near the bicritical point phase separation of cooi and fm domains is indicated by the spectral change below 125 k interestingly between 50 k and 70 k the visible laser illumination transfers the cooilike spectra obtained in cooling process to the fmlike spectra obtained in warming process this indicates that the photoinduced imt is governed by the increase of the fm volume fraction and is deeply related to the phase separation between the fm and cooi states
|
[['perovskite', 'manganite', 'thin', 'films', 'pr_055ca_1ysr_y_045mno_3', 'have', 'been', 'studied', 'using', 'xray', 'photoemission', 'spectroscopy', 'in', 'order', 'to', 'clarify', 'the', 'consequence', 'of', 'the', 'competition', 'between', 'ferromagnetic', 'metal', 'fm', 'and', 'chargeorbital', 'ordered', 'insulator', 'cooi', 'films', 'with', 'y', '040', 'undergo', 'uniform', 'paramagnetic', 'insulator', 'to', 'fm', 'transition', 'on', 'the', 'other', 'hand', 'in', 'films', 'with', 'y', '025', 'the', 'composition', 'near', 'the', 'bicritical', 'point', 'phase', 'separation', 'of', 'cooi', 'and', 'fm', 'domains', 'is', 'indicated', 'by', 'the', 'spectral', 'change', 'below', '125', 'k', 'interestingly', 'between', '50', 'k', 'and', '70', 'k', 'the', 'visible', 'laser', 'illumination', 'transfers', 'the', 'cooilike', 'spectra', 'obtained', 'in', 'cooling', 'process', 'to', 'the', 'fmlike', 'spectra', 'obtained', 'in', 'warming', 'process', 'this', 'indicates', 'that', 'the', 'photoinduced', 'imt', 'is', 'governed', 'by', 'the', 'increase', 'of', 'the', 'fm', 'volume', 'fraction', 'and', 'is', 'deeply', 'related', 'to', 'the', 'phase', 'separation', 'between', 'the', 'fm', 'and', 'cooi', 'states']]
|
[-0.1272933367258451, 0.2568932239508887, -0.04264119903073008, -0.00831076800973887, 0.018438231485976477, -0.12022556831847554, 0.14998735870989993, 0.43151658330494025, -0.276610045583816, -0.30975312519979875, 0.02978295680707482, -0.37841945974610924, -0.05037160065230422, 0.13591753945165264, 0.02999770332413806, -0.026087491932567063, -0.07361569819517258, -0.08342226441788274, -0.1495934649476943, -0.17886322987537215, 0.2883264098910424, -0.03049150860582398, 0.29580224484322576, 0.09815215444793617, 0.01844712005612829, -0.009310805033452399, 0.12624234107036994, -0.014808942926827613, -0.18803210640318122, 0.0034992809340497113, 0.2751761770414878, -0.11607175364936372, 0.1484301069652383, -0.3586230750569678, -0.19898394575181205, 0.011301272473569343, 0.09773070511569024, 0.020685964938634494, -0.04001880425608746, -0.2916090252999891, 0.10379877014087484, -0.09901542948397594, -0.07710980355265683, -0.05210628499108271, -0.006882123561121348, -0.02734026629257742, -0.25060174735785484, 0.09730803694458694, 0.10076041540908297, 0.14746395972242035, -0.09679855795313172, -0.1559527746042398, -0.12288119423929161, 0.06841266449856183, 0.05810934011631931, 0.13941060309115005, 0.14768998442569703, -0.05658734863895307, -0.06826149909133751, 0.3353448161180681, -0.06876092890779832, 0.018329932596387825, 0.17033053596511366, -0.2602592105793906, -0.027457585297964923, 0.23698617492281782, 0.07504348757889444, 0.10989527007579569, -0.10000625325322855, 0.05248503877889497, 0.040616063210438556, 0.26605837980737196, 0.08369064018658297, 0.05151594767720974, 0.24150059187388795, 0.21432888547534226, 0.02736087623198964, 0.15644111413156658, -0.13683695967793172, -0.06650337465767434, -0.1610486472069513, -0.13909127455439388, -0.19373110870420052, 0.0634229374228148, -0.08823161935156457, -0.14865922983955798, 0.29163552592985154, 0.1091029201157567, 0.21297336903613384, -0.1094595315888172, 0.21102226872774443, 0.05314125639283809, 0.038218472743274896, -0.014685819332495215, 0.26563631617060796, 0.20723982547972658, 0.19223039938005396, -0.2610934393399754, 0.09918511846271438, 0.021203913857911046]
|
706.2221
|
Generalized pseudo-Newtonian potential for studying accretion disk
dynamics in off-equatorial planes around rotating black holes: Description of
a vector potential
|
We prescribe a pseudo-Newtonian vector potential for studying accretion disks
around Kerr black holes. The potential is useful to study the inner properties
of disk not confined to the equatorial plane where general relativistic effect
is indispensable. Therefore, we incorporate the essential properties of the
metric at the inner radii through the pseudo-Newtonian potential derived from
the general Kerr spacetime. The potential, reproducing most of the salient
features of the general-relativity, is valid for entire regime of Kerr
parameter. It reproduces the last stable circular orbit exactly as that in the
Kerr geometry. It also reproduces last bound orbit and energy at last stable
circular orbit with a maximum error ~7% and ~15% respectively upto an orbital
inclination 30 degree.
|
astro-ph gr-qc
|
we prescribe a pseudonewtonian vector potential for studying accretion disks around kerr black holes the potential is useful to study the inner properties of disk not confined to the equatorial plane where general relativistic effect is indispensable therefore we incorporate the essential properties of the metric at the inner radii through the pseudonewtonian potential derived from the general kerr spacetime the potential reproducing most of the salient features of the generalrelativity is valid for entire regime of kerr parameter it reproduces the last stable circular orbit exactly as that in the kerr geometry it also reproduces last bound orbit and energy at last stable circular orbit with a maximum error 7 and 15 respectively upto an orbital inclination 30 degree
|
[['we', 'prescribe', 'a', 'pseudonewtonian', 'vector', 'potential', 'for', 'studying', 'accretion', 'disks', 'around', 'kerr', 'black', 'holes', 'the', 'potential', 'is', 'useful', 'to', 'study', 'the', 'inner', 'properties', 'of', 'disk', 'not', 'confined', 'to', 'the', 'equatorial', 'plane', 'where', 'general', 'relativistic', 'effect', 'is', 'indispensable', 'therefore', 'we', 'incorporate', 'the', 'essential', 'properties', 'of', 'the', 'metric', 'at', 'the', 'inner', 'radii', 'through', 'the', 'pseudonewtonian', 'potential', 'derived', 'from', 'the', 'general', 'kerr', 'spacetime', 'the', 'potential', 'reproducing', 'most', 'of', 'the', 'salient', 'features', 'of', 'the', 'generalrelativity', 'is', 'valid', 'for', 'entire', 'regime', 'of', 'kerr', 'parameter', 'it', 'reproduces', 'the', 'last', 'stable', 'circular', 'orbit', 'exactly', 'as', 'that', 'in', 'the', 'kerr', 'geometry', 'it', 'also', 'reproduces', 'last', 'bound', 'orbit', 'and', 'energy', 'at', 'last', 'stable', 'circular', 'orbit', 'with', 'a', 'maximum', 'error', '7', 'and', '15', 'respectively', 'upto', 'an', 'orbital', 'inclination', '30', 'degree']]
|
[-0.13241221621865407, 0.07103541268649376, -0.06311046435536506, 0.09167127084995931, -0.07841879783857925, -0.11375907332791636, -0.02968778737510244, 0.345012646385779, -0.2163092592236353, -0.2678142462080965, 0.0813921974884579, -0.2606263521205013, -0.10129577413511773, 0.23930633863589415, -0.03374812960779915, 0.06290975458687172, 0.023525149371319762, 0.040733318643954894, -0.0947515311165868, -0.21527959837888677, 0.3343538165402909, 0.12289234024162093, 0.14070814624428749, 0.006981188128702342, 0.0878712131176144, 0.0453094779571984, 0.059296798333525656, 0.030188306176569313, -0.1821874398100893, 0.09270527760187784, 0.19444348903683326, 0.05123574048435937, 0.21329468082015712, -0.34751918028729656, -0.22139907182136084, 0.05337154642523577, 0.13661039473469525, 0.12156664330589896, -0.06309240080881864, -0.2235296331268425, 0.09572922890559615, -0.18960995638735767, -0.248830768535845, -0.043639206963901715, 0.12782843604218214, -0.03835127480754939, -0.22168161291823102, 0.10142757116094193, 0.11927209852680486, 0.006036383037765821, -0.10690029167065708, -0.059904332906686855, -0.08988615947309882, 0.11127008515565345, 0.07201344870845787, 0.04360187091903451, 0.17447423591584083, -0.0758968083600242, -0.049657979285499705, 0.39444872296104827, -0.0792581338668242, -0.1521153184507663, 0.15086513209195498, -0.2709522570919944, -0.05994173127692193, 0.14855413362383843, 0.1938386228090773, 0.19115972980701676, -0.12707368430371085, 0.1166222276854872, -0.029347345906232173, 0.17025843098332796, 0.14152731963743767, 0.04624396774549192, 0.3473284043371677, 0.10821107914865327, 0.04938304688645682, 0.1134655046199138, -0.14705473644814143, -0.1298184316799355, -0.30119375623083516, -0.09857015550611929, -0.13993557375797536, 0.02830790888995883, -0.16988712380771176, -0.12823285129658568, 0.3837933700842162, 0.10501240394078196, 0.2084600382183756, -0.013195295356369267, 0.30296723126439246, 0.08571105800316824, 0.052442388255925225, 0.16262100102612748, 0.3896669781301171, 0.160815352271311, 0.07819199854275212, -0.22366334958739267, 0.009907028500068311, 0.05644441480205084]
|
706.2222
|
LHC Signatures of MSSM Higgs-sector CP Violation
|
We discuss a few new characteristic features of the loop-induced MSSM
Higgs-sector CP violation at the LHC based on two scenarios: (i) CPX and (ii)
Trimixing.
|
hep-ph
|
we discuss a few new characteristic features of the loopinduced mssm higgssector cp violation at the lhc based on two scenarios i cpx and ii trimixing
|
[['we', 'discuss', 'a', 'few', 'new', 'characteristic', 'features', 'of', 'the', 'loopinduced', 'mssm', 'higgssector', 'cp', 'violation', 'at', 'the', 'lhc', 'based', 'on', 'two', 'scenarios', 'i', 'cpx', 'and', 'ii', 'trimixing']]
|
[-0.12461614465484253, 0.18289643329066727, 0.0017970809533905524, 0.16405320583054653, -0.11529783460383232, -0.27226564429628736, 0.07020892661351424, 0.2805723502085759, -0.2243628057722862, -0.20976153051910493, 0.061202447127121, -0.2762926461246724, -0.04672877440372339, 0.1348502898338036, 0.04617545814611591, 0.015757718553336766, 0.0003299164191748087, -0.039595201826439455, -0.11004456956512652, -0.24061374437923616, 0.3349223892347744, -0.042509743209498435, 0.17305281815620568, 0.1336238575526155, 0.05191514479856078, -0.0625993711515688, -0.051524191772421964, -0.06934845590820679, -0.12235129792959644, 0.060273125588607326, 0.15423793001816824, 0.20573690624979252, 0.1021915588241357, -0.3328619317079966, -0.09157706309969608, 0.1862432315157583, 0.12404004330388628, 0.07652597573514168, -0.08203262171725957, -0.36155311322699374, 0.08162104381391636, -0.22350267498180842, -0.015326533054646391, -0.019366899505257607, -0.04091575842064161, -0.13929513132629487, -0.35008141899911255, 0.0315893530809822, -0.08617669594689058, 0.07903832550017306, 0.07113005528942896, -0.2242555983024291, 0.020040767106155936, -0.07182831557181019, 0.1362433677109388, -0.09171292364883882, 0.16507015457878318, -0.1984973857537485, -0.19472129915196162, 0.3960951403356515, -0.09123576063519487, -0.11118502270143765, 0.21276618981769738, -0.17179420133694434, -0.2520917584725584, 0.07879810009259157, 0.19741715118288994, 0.08957598682564612, -0.15452657328345454, 0.19243971487426628, -0.0367163374231985, 0.11530155281966123, 0.018685211033488695, 0.11688731051981449, 0.235107568737406, 0.2170664077051557, 0.03851814594907829, 0.01593726071027609, -0.18639678661174214, -0.05584474935984382, -0.5564139210260831, -0.10765695091910087, -0.0560956817621795, -0.016318743833555624, -0.09595396937388265, -0.005113089313873878, 0.47179146182651704, 0.13358209754985112, 0.2691476442134724, 0.013977643299418, 0.25478326969851667, 0.003665588043916684, 0.036905615930803694, 0.01989908143877983, 0.3038284249890309, 0.03007154897428476, 0.14959317640974545, -0.25373536033126026, 0.02420553111901077, 0.08385788849913157]
|
706.2223
|
Towards the Distribution of the Size of a Largest Planar Matching and
Largest Planar Subgraph in Random Bipartite Graphs
|
We address the following question: When a randomly chosen regular bipartite
multi--graph is drawn in the plane in the ``standard way'', what is the
distribution of its maximum size planar matching (set of non--crossing disjoint
edges) and maximum size planar subgraph (set of non--crossing edges which may
share endpoints)? The problem is a generalization of the Longest Increasing
Sequence (LIS) problem (also called Ulam's problem). We present combinatorial
identities which relate the number of r-regular bipartite multi--graphs with
maximum planar matching (maximum planar subgraph) of at most d edges to a
signed sum of restricted lattice walks in Z^d, and to the number of pairs of
standard Young tableaux of the same shape and with a ``descend--type''
property. Our results are obtained via generalizations of two combinatorial
proofs through which Gessel's identity can be obtained (an identity that is
crucial in the derivation of a bivariate generating function associated to the
distribution of LISs, and key to the analytic attack on Ulam's problem).
We also initiate the study of pattern avoidance in bipartite multigraphs and
derive a generalized Gessel identity for the number of bipartite 2-regular
multigraphs avoiding a specific (monotone) pattern.
|
math.CO math.PR
|
we address the following question when a randomly chosen regular bipartite multigraph is drawn in the plane in the standard way what is the distribution of its maximum size planar matching set of noncrossing disjoint edges and maximum size planar subgraph set of noncrossing edges which may share endpoints the problem is a generalization of the longest increasing sequence lis problem also called ulams problem we present combinatorial identities which relate the number of rregular bipartite multigraphs with maximum planar matching maximum planar subgraph of at most d edges to a signed sum of restricted lattice walks in zd and to the number of pairs of standard young tableaux of the same shape and with a descendtype property our results are obtained via generalizations of two combinatorial proofs through which gessels identity can be obtained an identity that is crucial in the derivation of a bivariate generating function associated to the distribution of liss and key to the analytic attack on ulams problem we also initiate the study of pattern avoidance in bipartite multigraphs and derive a generalized gessel identity for the number of bipartite 2regular multigraphs avoiding a specific monotone pattern
|
[['we', 'address', 'the', 'following', 'question', 'when', 'a', 'randomly', 'chosen', 'regular', 'bipartite', 'multigraph', 'is', 'drawn', 'in', 'the', 'plane', 'in', 'the', 'standard', 'way', 'what', 'is', 'the', 'distribution', 'of', 'its', 'maximum', 'size', 'planar', 'matching', 'set', 'of', 'noncrossing', 'disjoint', 'edges', 'and', 'maximum', 'size', 'planar', 'subgraph', 'set', 'of', 'noncrossing', 'edges', 'which', 'may', 'share', 'endpoints', 'the', 'problem', 'is', 'a', 'generalization', 'of', 'the', 'longest', 'increasing', 'sequence', 'lis', 'problem', 'also', 'called', 'ulams', 'problem', 'we', 'present', 'combinatorial', 'identities', 'which', 'relate', 'the', 'number', 'of', 'rregular', 'bipartite', 'multigraphs', 'with', 'maximum', 'planar', 'matching', 'maximum', 'planar', 'subgraph', 'of', 'at', 'most', 'd', 'edges', 'to', 'a', 'signed', 'sum', 'of', 'restricted', 'lattice', 'walks', 'in', 'zd', 'and', 'to', 'the', 'number', 'of', 'pairs', 'of', 'standard', 'young', 'tableaux', 'of', 'the', 'same', 'shape', 'and', 'with', 'a', 'descendtype', 'property', 'our', 'results', 'are', 'obtained', 'via', 'generalizations', 'of', 'two', 'combinatorial', 'proofs', 'through', 'which', 'gessels', 'identity', 'can', 'be', 'obtained', 'an', 'identity', 'that', 'is', 'crucial', 'in', 'the', 'derivation', 'of', 'a', 'bivariate', 'generating', 'function', 'associated', 'to', 'the', 'distribution', 'of', 'liss', 'and', 'key', 'to', 'the', 'analytic', 'attack', 'on', 'ulams', 'problem', 'we', 'also', 'initiate', 'the', 'study', 'of', 'pattern', 'avoidance', 'in', 'bipartite', 'multigraphs', 'and', 'derive', 'a', 'generalized', 'gessel', 'identity', 'for', 'the', 'number', 'of', 'bipartite', '2regular', 'multigraphs', 'avoiding', 'a', 'specific', 'monotone', 'pattern']]
|
[-0.15238812828469406, 0.10573068656173903, -0.04670881612850499, 0.05267763418433164, -0.12352371549584869, -0.11759244828821398, 0.07243878349505795, 0.35647818787969376, -0.31117058271988346, -0.30158198416155046, 0.07918935289870976, -0.3058614953511263, -0.14546883912727782, 0.11032895755671276, -0.1219834956091814, 0.06747664466115685, 0.09208736464098408, 0.06500625876095438, 0.013667013093963856, -0.2616569918686407, 0.3075833978882323, -0.02701795228735022, 0.24241107278162155, 0.0720770929535334, 0.044651958548966114, 0.08992223548629755, -0.014319842117497239, 0.0767085429229798, -0.1595186137130526, 0.1205517368346053, 0.21453713810958788, 0.18943185246846986, 0.21519978941754678, -0.3927421170135677, -0.1268139211899791, 0.2056877655415986, 0.15576737327379278, 0.07444715201708425, -0.01459760443948658, -0.21050101973321192, 0.09863321725535085, -0.11849023244424152, -0.15181586676379616, 0.0634417629822679, 0.06561506145757715, 0.04754489626252721, -0.28781346127869933, 0.008165742536087603, 0.10226896044637286, 0.05185999317347323, 0.0641478367450925, -0.1435062912638977, -0.01844174222635466, 0.11110113178338997, -0.05036016253520447, 0.05150460249059273, 0.02801975989421703, -0.13938082762779327, -0.18711750479037167, 0.37458126784268164, 0.01105286988688155, -0.2010347656613089, 0.12614508899884463, -0.1414287110202591, -0.18546634174503035, 0.10220046388838655, 0.12590812099000429, 0.15510787941876272, -0.14298776628156082, 0.062119557991250865, -0.16967703918536334, 0.07916874751870408, 0.1473419915577543, 0.013855404392401663, 0.17987964347343774, 0.09830764555603909, 0.13348476677957474, 0.2567610088351831, 0.000473968076083263, -0.07043567410528816, -0.26749673028749593, -0.10391521088642444, -0.2513207978409281, 0.055406484728513276, -0.19875958674495578, -0.24523357782239846, 0.4250856870736595, 0.10993790805666813, 0.22242631964843856, 0.13086185756892804, 0.2179760994214116, 0.09733926007692965, 0.032247534838470954, 0.08572458740840641, 0.09563118611286878, 0.1877840986702084, -0.030705948265791136, -0.17949708493204583, 0.08524586169136912, 0.18007891380754715]
|
706.2224
|
Existence of Kirillov-Reshetikhin crystals for nonexceptional types
|
Using the methods of Kang et al. and recent results on the characters of
Kirillov-Reshetikhin modules by Nakajima and Hernandez, the existence of
Kirillov-Reshetikhin crystals B^{r,s} is established for all nonexceptional
affine types. We also prove that the crystals B^{r,s} of type B_n^{(1)},
D_n^{(1)}, and A_{2n-1}^{(2)} are isomorphic to recently constructed
combinatorial crystals for r not a spin node.
|
math.QA math.RT
|
using the methods of kang et al and recent results on the characters of kirillovreshetikhin modules by nakajima and hernandez the existence of kirillovreshetikhin crystals brs is established for all nonexceptional affine types we also prove that the crystals brs of type b_n1 d_n1 and a_2n12 are isomorphic to recently constructed combinatorial crystals for r not a spin node
|
[['using', 'the', 'methods', 'of', 'kang', 'et', 'al', 'and', 'recent', 'results', 'on', 'the', 'characters', 'of', 'kirillovreshetikhin', 'modules', 'by', 'nakajima', 'and', 'hernandez', 'the', 'existence', 'of', 'kirillovreshetikhin', 'crystals', 'brs', 'is', 'established', 'for', 'all', 'nonexceptional', 'affine', 'types', 'we', 'also', 'prove', 'that', 'the', 'crystals', 'brs', 'of', 'type', 'b_n1', 'd_n1', 'and', 'a_2n12', 'are', 'isomorphic', 'to', 'recently', 'constructed', 'combinatorial', 'crystals', 'for', 'r', 'not', 'a', 'spin', 'node']]
|
[-0.11833798743279303, 0.07728153185093167, -0.011116472021597674, -0.04163048022635818, -0.13059213838808365, -0.16715963701796482, 0.01399483842680515, 0.34562689031205945, -0.2824227396177791, -0.20889000963987941, 0.08094231781186693, -0.254041386294668, -0.1630507350536221, 0.20365679109374346, -0.12632503450485105, 0.01631019957426746, 0.01885219357742028, -0.0032699338744504977, -0.10056001880643711, -0.34377862382048774, 0.34288008485810234, -0.014540358797757554, 0.3129561239127385, -0.003143905062165301, 0.12684382791078444, 0.06510589641155833, 0.00990839843969729, -0.03374934304600297, -0.24278212246799277, 0.11198628170147412, 0.29428329635648276, 0.04057243976236905, 0.08760952735043494, -0.3622587419635916, -0.12779010429788948, 0.13463465446385287, 0.13943154414547448, 0.08377615043546184, -0.051439513742402826, -0.29450510508554467, 0.1554134686051284, -0.22808572127468, -0.10465825102055225, -0.11354990562392493, 0.07110950739075572, 0.05272782983858201, -0.27585370432175066, 0.015212717714178833, 0.10422855310173611, 0.09258043709984523, -0.06642792995829704, -0.20554156126296622, -0.0936526385041238, -0.005311826267674313, -0.07785596659454375, -0.025880769487091546, 0.02484638668533604, -0.09216155604285708, -0.2654650643215341, 0.3204202603517195, 0.057336456173936186, -0.18609853143314437, 0.1595432775300312, -0.11096260344197231, -0.24554830528322166, 0.09554917347948935, -0.006047565537362786, 0.1487276703119278, -0.052922315275991116, 0.19078978302324254, -0.17169100499191023, 0.029447362631938215, 0.1633413355655463, 0.011916072226239968, 0.08029282786015232, 0.03434239848816799, -0.0668251620116249, 0.10111547907482896, -0.002949398508200706, 0.03550183252427506, -0.285090721275468, -0.21993641492168783, -0.13219137980910492, 0.09007876507283812, -0.07325493175683394, -0.1402975218528408, 0.39157394951177854, 0.02247624251581097, 0.14192633993008127, 0.07068614455401677, 0.08340398455827923, 0.006650107107677702, 0.08200102293137777, 0.03911184794979833, 0.17423213419299258, 0.27514038734153795, 0.02106518895854637, -0.17013440536181207, -0.0091609854736539, 0.24795748754325558]
|
706.2225
|
Significance Tests for Periodogram Peaks
|
We discuss methods currently in use for determining the significance of peaks
in the periodograms of time series. We discuss some general methods for
constructing significance tests, false alarm probability functions, and the
role played in these by independent random variables and by empirical and
theoretical cumulative distribution functions. We also discuss the concept of
"independent frequencies" in periodogram analysis. We propose a practical
method for estimating the significance of periodogram peaks, applicable to all
time series irrespective of the spacing of the data. This method, based on
Monte Carlo simulations, produces significance tests that are tailor-made for
any given astronomical time series.
|
astro-ph
|
we discuss methods currently in use for determining the significance of peaks in the periodograms of time series we discuss some general methods for constructing significance tests false alarm probability functions and the role played in these by independent random variables and by empirical and theoretical cumulative distribution functions we also discuss the concept of independent frequencies in periodogram analysis we propose a practical method for estimating the significance of periodogram peaks applicable to all time series irrespective of the spacing of the data this method based on monte carlo simulations produces significance tests that are tailormade for any given astronomical time series
|
[['we', 'discuss', 'methods', 'currently', 'in', 'use', 'for', 'determining', 'the', 'significance', 'of', 'peaks', 'in', 'the', 'periodograms', 'of', 'time', 'series', 'we', 'discuss', 'some', 'general', 'methods', 'for', 'constructing', 'significance', 'tests', 'false', 'alarm', 'probability', 'functions', 'and', 'the', 'role', 'played', 'in', 'these', 'by', 'independent', 'random', 'variables', 'and', 'by', 'empirical', 'and', 'theoretical', 'cumulative', 'distribution', 'functions', 'we', 'also', 'discuss', 'the', 'concept', 'of', 'independent', 'frequencies', 'in', 'periodogram', 'analysis', 'we', 'propose', 'a', 'practical', 'method', 'for', 'estimating', 'the', 'significance', 'of', 'periodogram', 'peaks', 'applicable', 'to', 'all', 'time', 'series', 'irrespective', 'of', 'the', 'spacing', 'of', 'the', 'data', 'this', 'method', 'based', 'on', 'monte', 'carlo', 'simulations', 'produces', 'significance', 'tests', 'that', 'are', 'tailormade', 'for', 'any', 'given', 'astronomical', 'time', 'series']]
|
[-0.09772913516001794, 0.046855381156489684, -0.11056913867665147, 0.12196350967832524, -0.016925825843659852, -0.08119286674083871, 0.1188012692733731, 0.4080067479494706, -0.19521543216321943, -0.28902787580471306, 0.1204572141360383, -0.2545688888419745, -0.1561958159690777, 0.2688935901427153, -0.03244734802328556, 0.11504921086530373, 0.08388189176569814, -0.033125675798764506, -0.08497229368805669, -0.2513227049686304, 0.28482177451216767, 0.10962931403112643, 0.2758001894554467, -0.008635044296823659, 0.08201862475721762, 0.04789016117766789, -0.1279899086441519, -0.01372388573996361, -0.1335042696291478, 0.09450369774933579, 0.2528282841577113, 0.19118517504434793, 0.3189843736082605, -0.3724537289687839, -0.1977754577099192, 0.1268319788940468, 0.11680604324413879, 0.07186527213859327, -0.0646180441044723, -0.24590951101221506, 0.07048942896456105, -0.11401893556552026, -0.13515620001419945, -0.10631608199983726, 0.021302404295815862, 0.06506188252705683, -0.2826420141076579, 0.14667628231448193, -0.009390428612569293, 0.11717982271921287, -0.03280619813075054, -0.18332258676906632, 0.07894883525458354, 0.0839739104617586, 0.09096417896047199, -0.054139218315735316, 0.098247635983003, -0.046047822730525316, -0.16525111550655108, 0.33926974727039777, -0.08095943560321969, -0.20249887503394223, 0.14496680217324892, -0.16742036548596853, -0.22567384962661607, 0.10205213320486754, 0.20417401817563957, 0.10949270437399233, -0.13712114082690038, 0.02879856635185718, 0.027982265591277804, 0.15577876967043408, 0.07047489431496819, 0.016817322903362474, 0.22087378948203568, 0.15389836620702183, -5.518179386854172e-05, 0.11875196058049943, -0.17045778378129947, -0.08561907441002652, -0.3371921682151631, -0.153041347038471, -0.2203586611600629, -0.026353348217208337, -0.13813495606105453, -0.17334380447502853, 0.44699040407911667, 0.23092001685601415, 0.1496485899320071, 0.11746986626276693, 0.2769797045231155, 0.17574293768593988, 0.0006565895978162445, 0.04362550975067667, 0.18527658957930382, 0.10542218978019449, 0.011014824470921048, -0.16982402975074223, 0.09595985255357854, 0.03983157624047503]
|
706.2226
|
The Photonic Module: an on-demand resource for photonic entanglement
|
Photonic entanglement has a wide range of applications in quantum computation
and communication. Here we introduce a new device: the "photonic module", which
allows for the rapid, deterministic preparation of a large class of entangled
photon states. The module is an application independent, "plug and play"
device, with sufficient flexibility to prepare entanglement for all major
quantum computation and communication applications in a completely
deterministic fashion without number-discriminated photon detection. We present
two alternative constructions for the module, one using free-space components
and one in a photonic bandgap structures. The natural operation of the module
is to generate states within the stabilizer formalism and we present an
analysis on the cavity-QED requirements to experimentally realize this device.
|
quant-ph
|
photonic entanglement has a wide range of applications in quantum computation and communication here we introduce a new device the photonic module which allows for the rapid deterministic preparation of a large class of entangled photon states the module is an application independent plug and play device with sufficient flexibility to prepare entanglement for all major quantum computation and communication applications in a completely deterministic fashion without numberdiscriminated photon detection we present two alternative constructions for the module one using freespace components and one in a photonic bandgap structures the natural operation of the module is to generate states within the stabilizer formalism and we present an analysis on the cavityqed requirements to experimentally realize this device
|
[['photonic', 'entanglement', 'has', 'a', 'wide', 'range', 'of', 'applications', 'in', 'quantum', 'computation', 'and', 'communication', 'here', 'we', 'introduce', 'a', 'new', 'device', 'the', 'photonic', 'module', 'which', 'allows', 'for', 'the', 'rapid', 'deterministic', 'preparation', 'of', 'a', 'large', 'class', 'of', 'entangled', 'photon', 'states', 'the', 'module', 'is', 'an', 'application', 'independent', 'plug', 'and', 'play', 'device', 'with', 'sufficient', 'flexibility', 'to', 'prepare', 'entanglement', 'for', 'all', 'major', 'quantum', 'computation', 'and', 'communication', 'applications', 'in', 'a', 'completely', 'deterministic', 'fashion', 'without', 'numberdiscriminated', 'photon', 'detection', 'we', 'present', 'two', 'alternative', 'constructions', 'for', 'the', 'module', 'one', 'using', 'freespace', 'components', 'and', 'one', 'in', 'a', 'photonic', 'bandgap', 'structures', 'the', 'natural', 'operation', 'of', 'the', 'module', 'is', 'to', 'generate', 'states', 'within', 'the', 'stabilizer', 'formalism', 'and', 'we', 'present', 'an', 'analysis', 'on', 'the', 'cavityqed', 'requirements', 'to', 'experimentally', 'realize', 'this', 'device']]
|
[-0.1514998473937559, 0.14452199645341446, -0.056019679851958465, -0.021644894919831882, -0.029173710877236365, -0.21400078794324834, 0.036763091987111314, 0.41652083579964677, -0.26926800296722175, -0.28089780129235364, 0.07512124822824262, -0.2031891925185407, -0.13737408021175912, 0.26137640943814966, -0.06236938654659878, 0.11414839375507214, 0.07309928104072681, -0.02411771447253253, -0.023154378796381683, -0.18119859653685627, 0.29390517681042244, 0.043551688971688395, 0.3220090301635129, 0.07163934754850022, 0.1385922060340065, 0.0421208333222051, 0.03585133306754368, -0.08129610995167931, -0.10706457123561794, 0.1546406098450775, 0.30619261359569117, 0.10296712501283388, 0.27444947085439647, -0.42483803369747153, -0.1867934936147729, 0.10582844946425055, 0.10964984561573586, 0.1842514296827019, -0.08626546100251666, -0.25933474090335695, 0.06651458413950329, -0.2461833873570993, -0.08858491153986162, -0.10647829826760652, 0.01963335199377917, -0.07540480881690545, -0.24492098293106618, -0.03582613536253058, 0.023319057433801735, 0.052523207288749256, 0.0035820054929053156, 0.010890506039341462, 0.06025020227414267, 0.12900645379378492, -0.1405203893975403, -0.03324787225674613, 0.16473212889756944, -0.13238267846564072, -0.1974478658882837, 0.37531612771723805, -0.028810658078171025, -0.1988009151135539, 0.1941954995393111, -0.05687211706014029, -0.11582122191561964, 0.0669145488364879, 0.1624417695345293, 0.06675041881229343, -0.11737269685796366, 0.0608351249062127, -0.003118662019099655, 0.18054052789149613, 0.04131225377907334, 0.16390575531163606, 0.18642632799937614, 0.1740718320903272, 0.10327701747525586, 0.2008029869075158, -0.07821632220995901, -0.08153702400159091, -0.3278520604724, -0.27026817381183404, -0.2041076821694552, 0.05312772101551046, -0.059448144654919, -0.1734196344422626, 0.4703513777349144, 0.14407331685953098, 0.13456637052024298, 0.024673394538694993, 0.32055305031626, 0.09053412808560975, 0.12810864056267873, 0.05572968298681723, 0.22302039995275694, 0.1469431430952431, 0.1001140867793483, -0.1655738354712757, 0.021842456406688894, -0.012986839516088367]
|
706.2227
|
The Norma Cluster (ACO 3627): I. A Dynamical Analysis of the Most
Massive Cluster in the Great Attractor
|
A detailed dynamical analysis of the nearby rich Norma cluster (ACO 3627) is
presented. From radial velocities of 296 cluster members, we find a mean
velocity of 4871 +/- 54 km/s and a velocity dispersion of 925 km/s. The mean
velocity of the E/S0 population (4979 +/- 85 km/s) is offset with respect to
that of the S/Irr population (4812 +/- 70 km/s) by `Delta' v = 164 km/s in the
cluster rest frame. This offset increases towards the core of the cluster. The
E/S0 population is free of any detectable substructure and appears relaxed. Its
shape is clearly elongated with a position angle that is aligned along the
dominant large-scale structures in this region, the so-called Norma wall. The
central cD galaxy has a very large peculiar velocity of 561 km/s which is most
probably related to an ongoing merger at the core of the cluster. The
spiral/irregular galaxies reveal a large amount of substructure; two
dynamically distinct subgroups within the overall spiral-population have been
identified, located along the Norma wall elongation. The dynamical mass of the
Norma cluster within its Abell radius is 1 - 1.1 x 10^15 h^-1_73 M_Sun. One of
the cluster members, the spiral galaxy WKK 6176 which recently was observed to
have a 70 kpc X-ray tail, reveals numerous striking low-brightness filaments
pointing away from the cluster centre suggesting strong interaction with the
intracluster medium.
|
astro-ph
|
a detailed dynamical analysis of the nearby rich norma cluster aco 3627 is presented from radial velocities of 296 cluster members we find a mean velocity of 4871 54 kms and a velocity dispersion of 925 kms the mean velocity of the es0 population 4979 85 kms is offset with respect to that of the sirr population 4812 70 kms by delta v 164 kms in the cluster rest frame this offset increases towards the core of the cluster the es0 population is free of any detectable substructure and appears relaxed its shape is clearly elongated with a position angle that is aligned along the dominant largescale structures in this region the socalled norma wall the central cd galaxy has a very large peculiar velocity of 561 kms which is most probably related to an ongoing merger at the core of the cluster the spiralirregular galaxies reveal a large amount of substructure two dynamically distinct subgroups within the overall spiralpopulation have been identified located along the norma wall elongation the dynamical mass of the norma cluster within its abell radius is 1 11 x 1015 h1_73 m_sun one of the cluster members the spiral galaxy wkk 6176 which recently was observed to have a 70 kpc xray tail reveals numerous striking lowbrightness filaments pointing away from the cluster centre suggesting strong interaction with the intracluster medium
|
[['a', 'detailed', 'dynamical', 'analysis', 'of', 'the', 'nearby', 'rich', 'norma', 'cluster', 'aco', '3627', 'is', 'presented', 'from', 'radial', 'velocities', 'of', '296', 'cluster', 'members', 'we', 'find', 'a', 'mean', 'velocity', 'of', '4871', '54', 'kms', 'and', 'a', 'velocity', 'dispersion', 'of', '925', 'kms', 'the', 'mean', 'velocity', 'of', 'the', 'es0', 'population', '4979', '85', 'kms', 'is', 'offset', 'with', 'respect', 'to', 'that', 'of', 'the', 'sirr', 'population', '4812', '70', 'kms', 'by', 'delta', 'v', '164', 'kms', 'in', 'the', 'cluster', 'rest', 'frame', 'this', 'offset', 'increases', 'towards', 'the', 'core', 'of', 'the', 'cluster', 'the', 'es0', 'population', 'is', 'free', 'of', 'any', 'detectable', 'substructure', 'and', 'appears', 'relaxed', 'its', 'shape', 'is', 'clearly', 'elongated', 'with', 'a', 'position', 'angle', 'that', 'is', 'aligned', 'along', 'the', 'dominant', 'largescale', 'structures', 'in', 'this', 'region', 'the', 'socalled', 'norma', 'wall', 'the', 'central', 'cd', 'galaxy', 'has', 'a', 'very', 'large', 'peculiar', 'velocity', 'of', '561', 'kms', 'which', 'is', 'most', 'probably', 'related', 'to', 'an', 'ongoing', 'merger', 'at', 'the', 'core', 'of', 'the', 'cluster', 'the', 'spiralirregular', 'galaxies', 'reveal', 'a', 'large', 'amount', 'of', 'substructure', 'two', 'dynamically', 'distinct', 'subgroups', 'within', 'the', 'overall', 'spiralpopulation', 'have', 'been', 'identified', 'located', 'along', 'the', 'norma', 'wall', 'elongation', 'the', 'dynamical', 'mass', 'of', 'the', 'norma', 'cluster', 'within', 'its', 'abell', 'radius', 'is', '1', '11', 'x', '1015', 'h1_73', 'm_sun', 'one', 'of', 'the', 'cluster', 'members', 'the', 'spiral', 'galaxy', 'wkk', '6176', 'which', 'recently', 'was', 'observed', 'to', 'have', 'a', '70', 'kpc', 'xray', 'tail', 'reveals', 'numerous', 'striking', 'lowbrightness', 'filaments', 'pointing', 'away', 'from', 'the', 'cluster', 'centre', 'suggesting', 'strong', 'interaction', 'with', 'the', 'intracluster', 'medium']]
|
[-0.13375248887883795, 0.10092323133465149, -0.11044681229711852, 0.03720665112339546, -0.10010410394157153, -0.041951204598480965, 0.035971604106416796, 0.4273872892140533, -0.21450175278834846, -0.32528153324749415, 0.030171330412428372, -0.2842351431527483, 0.010434227700585424, 0.14286691677330982, 0.005746374053328982, -0.07047413474336536, 0.07517769919288012, 0.01737995198253559, -0.045895047053880145, -0.20807155784138776, 0.2535135680809617, 0.05704864563538411, 0.1953558252568091, -0.050806720801144505, 0.09488562495043139, -0.08988439918541016, -0.044641464563983185, 0.016877374325234156, -0.1407531808508793, 0.057687798546568164, 0.1730699954573929, 0.08814970919508403, 0.301568252350545, -0.2565252358447845, -0.15163347094500967, 0.023679870616948036, 0.24763059238595067, 0.049134906052139785, -0.058308751840666945, -0.33890086946201964, 0.11013366054001841, -0.18084653012077345, -0.2587952896135088, 0.15364363390710825, 0.08978242837145453, 0.043001626049299045, -0.12938940670126334, 0.2393190286531033, -0.002944056117197086, 0.10805116244328389, -0.0824948156956263, -0.13547476468085232, -0.08977332950582331, 0.05740652611580302, 0.0009806230058472148, 0.14928054793978035, 0.2246199752524394, -0.10908313811550178, -0.0011921081675123845, 0.4193078025720373, -0.010781167172045237, 0.03166594120307206, 0.2413806485378803, -0.21438213332363393, -0.17189952543248185, 0.17836615108943868, 0.12990460050928646, 0.04355498058911059, -0.14758308847514887, 0.006552383806703958, -0.07765630675359667, 0.23407218092947152, 0.058676369996041866, 0.007353782348415911, 0.28605702504035235, 0.08374435523771406, 0.07726098519931147, 0.1083109419091238, -0.26688101937851083, -0.06772239717583244, -0.21832864689092865, -0.08479124572069059, -0.09584975410284416, 0.021374866614493275, -0.16047070213744724, -0.11722927942084664, 0.3349828800055877, 0.05882692290048591, 0.24583045499846, 0.013855856725099555, 0.24062713968032357, 0.05626548533707149, 0.14224958280101418, 0.16543263035754746, 0.3054601059493301, 0.24067865078109926, 0.05057536670042632, -0.24624767403931638, 0.04987539124068787, -0.03920200403476328]
|
706.2228
|
Periodic harmonic functions on lattices and points count in positive
characteristic
|
This survey addresses pluri-periodic harmonic functions on lattices with
values in a positive characteristic field. We mention, as a motivation, the
game "Lights Out" following the work of Sutner, Goldwasser-Klostermeyer-Ware,
Barua-Ramakrishnan-Sarkar, Hunzikel-Machiavello-Park e.a.; see also 2 previous
author's preprints for a more detailed account. Our approach explores harmonic
analysis and algebraic geometry over a positive characteristic field. The
Fourier transform allows us to interpret pluri-periods of harmonic functions on
lattices as torsion multi-orders of points on the corresponding affine
algebraic variety.
|
math.AG math.SP
|
this survey addresses pluriperiodic harmonic functions on lattices with values in a positive characteristic field we mention as a motivation the game lights out following the work of sutner goldwasserklostermeyerware baruaramakrishnansarkar hunzikelmachiavellopark ea see also 2 previous authors preprints for a more detailed account our approach explores harmonic analysis and algebraic geometry over a positive characteristic field the fourier transform allows us to interpret pluriperiods of harmonic functions on lattices as torsion multiorders of points on the corresponding affine algebraic variety
|
[['this', 'survey', 'addresses', 'pluriperiodic', 'harmonic', 'functions', 'on', 'lattices', 'with', 'values', 'in', 'a', 'positive', 'characteristic', 'field', 'we', 'mention', 'as', 'a', 'motivation', 'the', 'game', 'lights', 'out', 'following', 'the', 'work', 'of', 'sutner', 'goldwasserklostermeyerware', 'baruaramakrishnansarkar', 'hunzikelmachiavellopark', 'ea', 'see', 'also', '2', 'previous', 'authors', 'preprints', 'for', 'a', 'more', 'detailed', 'account', 'our', 'approach', 'explores', 'harmonic', 'analysis', 'and', 'algebraic', 'geometry', 'over', 'a', 'positive', 'characteristic', 'field', 'the', 'fourier', 'transform', 'allows', 'us', 'to', 'interpret', 'pluriperiods', 'of', 'harmonic', 'functions', 'on', 'lattices', 'as', 'torsion', 'multiorders', 'of', 'points', 'on', 'the', 'corresponding', 'affine', 'algebraic', 'variety']]
|
[-0.12911528585371687, 0.019035438961362013, -0.1338499977781966, 0.08397026891612473, -0.1236897208035697, -0.11325764279762232, 0.04498401115572936, 0.36600043423272466, -0.24501932361414908, -0.2210118622091171, 0.050829255045706255, -0.2531791965233719, -0.18221013852067897, 0.25763555534335003, -0.0717964964742596, -0.0011361504578884262, 0.009611531255162648, 0.039437119836440764, -0.0684766436083796, -0.2835110842401313, 0.3818094870327292, 0.007813870796707232, 0.22705771279445774, 0.053759957084784635, 0.09244038143220383, 0.061495168452352485, -0.09819694010012255, 0.010330627364030964, -0.1576160297703904, 0.1283006740582956, 0.2490872151998652, 0.08932164666947683, 0.2721082386938301, -0.3867138078990015, -0.20816236063586296, 0.10443177498323289, 0.11662701373869502, 0.09058683823693443, -0.002851690835283276, -0.2601550003715061, 0.045145419835289184, -0.12308231084229979, -0.13773019944405737, -0.10834635538678314, 0.04516205357425418, 0.0572655359408944, -0.22413586428061733, -0.01981627869433912, 0.11079477324351869, 0.18168834930386496, -0.08617930319490591, -0.14377010796483405, 0.06683277598317913, 0.08328363782650716, 0.023369328722961852, 0.05180510230098121, 0.09674130309360555, -0.0765437135894506, -0.1279158314841019, 0.3529365806513139, -0.06351497796729107, -0.19933921340349559, 0.16048080575136417, -0.16366022139019962, -0.13784267704279438, 0.09390276700818308, 0.19675587442061687, 0.1113374064600951, -0.05976476038277552, 0.12230945460268648, -0.09038037935750105, 0.15787082144713685, 0.09449586799569629, -0.02152388196790943, 0.19381514583663964, 0.0717577894856977, 0.1020239339008726, 0.16479725347882188, -0.0011336066149728926, -0.10460822164659968, -0.33105779672041535, -0.1849797591063622, -0.1546854305433462, 0.1360050099036606, -0.06626245369989192, -0.1473621760520178, 0.47668755741638913, 0.10913211498661218, 0.1982802945799572, 0.07471725889135504, 0.25620805401657076, 0.07994834967807087, 0.04231767754095632, -0.005474647777658459, 0.14170252561342675, 0.19210203057406722, 0.12692336729142462, -0.1602623456132573, -0.06967904384096933, 0.11195097677095013]
|
706.2229
|
AF-embedding of the crossed products of AH-algebras by finitely
generated abelian groups
|
Let $X$ be a compact metric space and let $\Lambda$ be a $\Z^k$ ($k\ge 1$)
action on $X.$ We give a solution to a version of Voiculescu's problem of
AF-embedding: The crossed product $C(X)\rtimes_{\Lambda}\Z^k$ can be embedded
into a unital simple AF-algebra if and only if $X$ admits a strictly positive
$\Lambda$-invariant Borel probability measure.
Let $C$ be a unital AH-algebra, let $G$ be a finitely generated abelian group
and let $\Lambda: G\to Aut(C)$ be a monomorphism. We show that
$C\rtimes_{\Lambda} G$ can be embedded into a unital simple AF-algebra if and
only if $C$ admits a faithful $\Lambda$-invariant tracial state.
|
math.OA math.FA
|
let x be a compact metric space and let lambda be a zk kge 1 action on x we give a solution to a version of voiculescus problem of afembedding the crossed product cxrtimes_lambdazk can be embedded into a unital simple afalgebra if and only if x admits a strictly positive lambdainvariant borel probability measure let c be a unital ahalgebra let g be a finitely generated abelian group and let lambda gto autc be a monomorphism we show that crtimes_lambda g can be embedded into a unital simple afalgebra if and only if c admits a faithful lambdainvariant tracial state
|
[['let', 'x', 'be', 'a', 'compact', 'metric', 'space', 'and', 'let', 'lambda', 'be', 'a', 'zk', 'kge', '1', 'action', 'on', 'x', 'we', 'give', 'a', 'solution', 'to', 'a', 'version', 'of', 'voiculescus', 'problem', 'of', 'afembedding', 'the', 'crossed', 'product', 'cxrtimes_lambdazk', 'can', 'be', 'embedded', 'into', 'a', 'unital', 'simple', 'afalgebra', 'if', 'and', 'only', 'if', 'x', 'admits', 'a', 'strictly', 'positive', 'lambdainvariant', 'borel', 'probability', 'measure', 'let', 'c', 'be', 'a', 'unital', 'ahalgebra', 'let', 'g', 'be', 'a', 'finitely', 'generated', 'abelian', 'group', 'and', 'let', 'lambda', 'gto', 'autc', 'be', 'a', 'monomorphism', 'we', 'show', 'that', 'crtimes_lambda', 'g', 'can', 'be', 'embedded', 'into', 'a', 'unital', 'simple', 'afalgebra', 'if', 'and', 'only', 'if', 'c', 'admits', 'a', 'faithful', 'lambdainvariant', 'tracial', 'state']]
|
[-0.17613376460668415, 0.16580769317836097, -0.16256024004571668, -0.022986441196560993, -0.11420126210879346, -0.2850090279620178, -0.005726907910271125, 0.4050485598619538, -0.36501032460217525, -0.0905965216589546, 0.09050027797506614, -0.26442956652567545, -0.04442666300732379, 0.1906475992308873, -0.13607281268658963, -0.16178158308482832, 0.12626315889447326, 0.18566683091392572, -0.07283340118863064, -0.22735006487316856, 0.3468318792304607, -0.15723731153352996, 0.09789733852099891, 0.0661907782119633, 0.15454548021609132, -0.025584787567795225, 0.09693027967398968, 0.09960333890525032, -0.18184558362407538, 0.03750147180387167, 0.3316266327118031, 0.1561815646956816, 0.28135239682865865, -0.2957469731983211, -0.14568245848828945, 0.3344065287536142, 0.13195442232877166, -0.14365527866351785, -0.038618191781529046, -0.33238177662339025, 0.1943313894567616, -0.24515718573497403, -0.09190267737428046, -0.0930334786799821, 0.15790853041666325, -0.10319068427715036, -0.3936162878655725, -0.05803167094674074, 0.1101231740886402, 0.03290534713728861, -0.016714324121071836, -0.07938703349932577, -0.12974674496423416, 0.04235801342028109, -0.16055828003645545, 0.16819528368833203, 0.10144796713509342, 0.03220806809993593, -0.08775721046358648, 0.4010233870434641, -0.1489402682642744, -0.29270838362851526, 0.0754470776371432, -0.22938167445850793, -0.10355430363555147, 0.12620696945661547, 0.0683049319330791, 0.1742271797618631, -0.0057359216452548, 0.30331900792262245, -0.18688584353088053, 0.16652841596026915, 0.018351223592580568, -0.03683043124784499, 0.16308667777915192, 0.0713588197038255, 0.1115454307315175, 0.1485901997775084, 0.11082684408374732, 0.13456794238094277, -0.3640833067322018, -0.19321905531817013, -0.13203144781150375, 0.31153223242121514, -0.09580579971026798, -0.14928264131903593, 0.32785549375576656, -0.01504110252352977, 0.16737929721729775, 0.12829593769415762, 0.20142595560261697, 0.09753956800712404, 0.0030375740460280064, 0.11787419632133661, -0.02966877054234948, 0.2658059457763841, -0.172898142979565, -0.09446321713803994, 0.010179186296282393, 0.21151714369353622]
|
706.223
|
Limited resolution and multiresolution methods in complex network
community detection
|
Detecting community structure in real-world networks is a challenging
problem. Recently, it has been shown that the resolution of methods based on
optimizing a modularity measure or a corresponding energy is limited;
communities with sizes below some threshold remain unresolved. One possibility
to go around this problem is to vary the threshold by using a tuning parameter,
and investigate the community structure at variable resolutions. Here, we
analyze the resolution limit and multiresolution behavior for two different
methods: a q-state Potts method proposed by Reichard and Bornholdt, and a
recent multiresolution method by Arenas, Fernandez, and Gomez. These methods
are studied analytically, and applied to three test networks using simulated
annealing.
|
physics.soc-ph
|
detecting community structure in realworld networks is a challenging problem recently it has been shown that the resolution of methods based on optimizing a modularity measure or a corresponding energy is limited communities with sizes below some threshold remain unresolved one possibility to go around this problem is to vary the threshold by using a tuning parameter and investigate the community structure at variable resolutions here we analyze the resolution limit and multiresolution behavior for two different methods a qstate potts method proposed by reichard and bornholdt and a recent multiresolution method by arenas fernandez and gomez these methods are studied analytically and applied to three test networks using simulated annealing
|
[['detecting', 'community', 'structure', 'in', 'realworld', 'networks', 'is', 'a', 'challenging', 'problem', 'recently', 'it', 'has', 'been', 'shown', 'that', 'the', 'resolution', 'of', 'methods', 'based', 'on', 'optimizing', 'a', 'modularity', 'measure', 'or', 'a', 'corresponding', 'energy', 'is', 'limited', 'communities', 'with', 'sizes', 'below', 'some', 'threshold', 'remain', 'unresolved', 'one', 'possibility', 'to', 'go', 'around', 'this', 'problem', 'is', 'to', 'vary', 'the', 'threshold', 'by', 'using', 'a', 'tuning', 'parameter', 'and', 'investigate', 'the', 'community', 'structure', 'at', 'variable', 'resolutions', 'here', 'we', 'analyze', 'the', 'resolution', 'limit', 'and', 'multiresolution', 'behavior', 'for', 'two', 'different', 'methods', 'a', 'qstate', 'potts', 'method', 'proposed', 'by', 'reichard', 'and', 'bornholdt', 'and', 'a', 'recent', 'multiresolution', 'method', 'by', 'arenas', 'fernandez', 'and', 'gomez', 'these', 'methods', 'are', 'studied', 'analytically', 'and', 'applied', 'to', 'three', 'test', 'networks', 'using', 'simulated', 'annealing']]
|
[-0.06417799540266225, 0.05460500036768446, -0.08163430143825033, 0.09658546808641404, -0.05308499196967618, -0.1493395528770634, 0.03957020972262729, 0.4297969733110883, -0.2589164629070596, -0.34366324820809746, 0.13992569218707188, -0.23521683836165308, -0.17523736562791534, 0.19024652990893545, -0.02748972302810712, 0.10616690265861424, 0.0671553214546293, -0.001694565478034995, -0.0446137447566302, -0.2552022190044888, 0.3269036140620962, 0.08803619573062116, 0.3220797643277117, 0.06468908744440838, 0.11978254181925546, -0.04127616514240138, -0.009751802953806791, 0.0885576464659111, -0.15087689904486815, 0.1113300929417495, 0.24263864831406284, 0.12256510538599369, 0.32371652300300247, -0.3566856794673103, -0.27183966603849763, 0.11634441065517338, 0.126735048440539, 0.09738120907409624, -0.005729621290017597, -0.29325352179055864, 0.12463245130387474, -0.1471512429077517, -0.08679698473265902, -0.10001171544003724, -0.0036718445914712817, 0.013850508740341121, -0.23666115454503928, 0.055177162342112174, 0.008538703550584614, 0.07430225535380569, -0.018218333083628253, -0.12398044316267426, 0.04242909815670414, 0.10678816187322479, 0.0057989308346970405, 0.005800704420967535, 0.11897674614817581, -0.1263668402584947, -0.16983800805597143, 0.33975758945400064, -0.020455299800431186, -0.19670910686466164, 0.22237043810627338, -0.07785440833646465, -0.1872887011913752, 0.12487760090523145, 0.16009388804298147, 0.14329028777905148, -0.15039889410413293, 0.08503826696277511, -0.020171132000078532, 0.17476180956952952, 0.10512523102912713, -0.056605419821359894, 0.17292190395634283, 0.249941536470909, 0.04642024335705421, 0.1332592608576471, -0.1285819649844515, -0.0880026255395602, -0.14263359755277633, -0.07160789721899412, -0.21764132652262394, -0.006021282616579397, -0.047571277486382645, -0.11212408229449383, 0.41219171146777545, 0.19291058603504843, 0.21440303045409648, 0.04993883808228103, 0.2875915156973695, 0.08404039663516662, 0.043274786743462426, 0.06217095730826259, 0.20733521720103454, 0.12978290079627186, 0.09438120873898945, -0.19011857852509076, 0.03910296841852621, 0.049453069413588804]
|
706.2231
|
Study of tau- -> K_S pi- nu_tau decay at Belle
|
We present a study of the decay tau- -> K_S pi- nu_tau using a 351 fb^-1 data
sample collected with the Belle detector. The analysis is based on 53110
lepton-tagged signal events. The measured branching fraction B(tau- -> K_S pi-
nu_tau)=(0.404 +- 0.002(stat.) +- 0.013(syst.))% is consistent with the world
average value and has better accuracy. An analysis of the K_S pi- invariant
mass spectrum reveals contributions from the K*(892)- as well as other states.
For the first time the K*(892)- mass and width have been measured in tau decay:
M(K*(892)-)=(895.47 +- 0.20(stat.) +- 0.44(syst.) +- 0.59(mod.)) MeV/c2,
Gamma(K*(892)-)=(46.2 +- 0.6(stat.) +- 1.0(syst.) +- 0.7(mod.)) MeV. The
K*(892)- mass is significantly different from the current world average value.
|
hep-ex
|
we present a study of the decay tau k_s pi nu_tau using a 351 fb1 data sample collected with the belle detector the analysis is based on 53110 leptontagged signal events the measured branching fraction btau k_s pi nu_tau0404 0002stat 0013syst is consistent with the world average value and has better accuracy an analysis of the k_s pi invariant mass spectrum reveals contributions from the k892 as well as other states for the first time the k892 mass and width have been measured in tau decay mk89289547 020stat 044syst 059mod mevc2 gammak892462 06stat 10syst 07mod mev the k892 mass is significantly different from the current world average value
|
[['we', 'present', 'a', 'study', 'of', 'the', 'decay', 'tau', 'k_s', 'pi', 'nu_tau', 'using', 'a', '351', 'fb1', 'data', 'sample', 'collected', 'with', 'the', 'belle', 'detector', 'the', 'analysis', 'is', 'based', 'on', '53110', 'leptontagged', 'signal', 'events', 'the', 'measured', 'branching', 'fraction', 'btau', 'k_s', 'pi', 'nu_tau0404', '0002stat', '0013syst', 'is', 'consistent', 'with', 'the', 'world', 'average', 'value', 'and', 'has', 'better', 'accuracy', 'an', 'analysis', 'of', 'the', 'k_s', 'pi', 'invariant', 'mass', 'spectrum', 'reveals', 'contributions', 'from', 'the', 'k892', 'as', 'well', 'as', 'other', 'states', 'for', 'the', 'first', 'time', 'the', 'k892', 'mass', 'and', 'width', 'have', 'been', 'measured', 'in', 'tau', 'decay', 'mk89289547', '020stat', '044syst', '059mod', 'mevc2', 'gammak892462', '06stat', '10syst', '07mod', 'mev', 'the', 'k892', 'mass', 'is', 'significantly', 'different', 'from', 'the', 'current', 'world', 'average', 'value']]
|
[-0.08330076020412926, 0.16317307215070528, -0.09234296281498913, 0.08875137938029722, -0.04432257393533031, -0.08532526084621038, 0.08100598355593654, 0.3196238952270728, -0.1502938595201288, -0.33260435498870755, 0.0075003199162893, -0.39479229378761077, 0.026755386474067156, 0.16846175800904403, 0.07603968397657178, 0.10537676979806654, 0.14670799922065011, 0.05978240911392685, -0.048933675968829464, -0.13635622864418037, 0.20447952496077942, 0.03490101634904894, 0.24690209026923593, 0.05356861566364461, -0.011083241436887076, -0.013777697054973366, -0.08629200354513085, -0.09715430964050549, -0.16819986871120576, -0.0018888633129215439, 0.2052297747613178, 0.11919124887505432, 0.10620381567171033, -0.23743367772892401, -0.020415459892579486, 0.1691142766717441, 0.16850222312674232, -0.019258220228651653, 0.012450910585561805, -0.4342325701929477, 0.12923009427530424, -0.15405439323631628, -0.03738748281243808, 0.008773384083594595, 0.09122133063988722, -0.12126319351183175, -0.3045735972724399, 0.16172026812422033, -0.09664865720860318, 0.09070125485447292, -0.04312129777879038, -0.30618624590166216, -0.029481570124721194, 0.061638402177629115, 0.12060556629178476, 0.1188306297313384, 0.18735688126037772, -0.08200765572184203, -0.16353615629011575, 0.34697721624860955, -0.12137644771933176, -0.13884270320437392, 0.09866792235608991, -0.19101517325343223, -0.0925000363827816, 0.22298154912946022, 0.18543245231409614, 0.06317634575516794, -0.20444337190223896, 0.11024663014199623, -0.0498103164991706, 0.2544651378554349, 0.05097016356220203, 0.0813094366493882, 0.15127177317080334, 0.23687425881804786, 0.0008926826971107904, 0.04620101453786317, -0.18546418572671483, -0.0243880476004311, -0.3301620980420587, -0.13957731690428846, -0.08382068933177815, 0.1251570156571094, -0.05605918030719016, -0.028013696756251916, 0.3689085114747286, 0.04076449370144734, 0.3611462905204722, 0.0904457681973902, 0.3192047855949828, 0.12894574863650854, 0.07503655722022665, 0.06273827057008688, 0.31854141366725064, 0.17804937258514822, 0.1569981109671656, -0.26935435446663475, 0.04655412631109357, -0.030704418216280793]
|
706.2232
|
Characterization of intrinsically harmonic forms
|
Let $M$ be a closed oriented manifold of dimension $n$ and $\omega$ a closed
1-form on it. We discuss the question whether there exists a Riemannian metric
for which $\omega$ is co-closed. For closed 1-forms with nondegenerate zeros
the question was answered completely by Calabi in 1969. The goal of this paper
is to give an answer in the general case, i.e. not making any assumptions on
the zero set of $\omega$.
|
math.DG
|
let m be a closed oriented manifold of dimension n and omega a closed 1form on it we discuss the question whether there exists a riemannian metric for which omega is coclosed for closed 1forms with nondegenerate zeros the question was answered completely by calabi in 1969 the goal of this paper is to give an answer in the general case ie not making any assumptions on the zero set of omega
|
[['let', 'm', 'be', 'a', 'closed', 'oriented', 'manifold', 'of', 'dimension', 'n', 'and', 'omega', 'a', 'closed', '1form', 'on', 'it', 'we', 'discuss', 'the', 'question', 'whether', 'there', 'exists', 'a', 'riemannian', 'metric', 'for', 'which', 'omega', 'is', 'coclosed', 'for', 'closed', '1forms', 'with', 'nondegenerate', 'zeros', 'the', 'question', 'was', 'answered', 'completely', 'by', 'calabi', 'in', '1969', 'the', 'goal', 'of', 'this', 'paper', 'is', 'to', 'give', 'an', 'answer', 'in', 'the', 'general', 'case', 'ie', 'not', 'making', 'any', 'assumptions', 'on', 'the', 'zero', 'set', 'of', 'omega']]
|
[-0.21460376912727952, 0.09755029968336101, -0.05510629260809057, 0.05823428191069979, -0.13550540823618779, -0.19221348335526678, 0.027407445196230482, 0.3363864117483091, -0.2530658525259544, -0.22152072029550457, 0.07492009445235857, -0.26879358023870736, -0.14177139919290008, 0.17809288059975692, -0.1345094018728964, -0.03090160100772563, 0.059208481766593955, 0.16590891894884408, -0.044450334363823965, -0.29814165160577333, 0.462163007662942, -0.05915344500034633, 0.18595135590941128, 0.11507214993859331, 0.12603418895095173, -0.028430331162073545, 0.04486032942723897, 0.019517505809845816, -0.20342964763080496, 0.08402374192761879, 0.2889161355431295, 0.15767070542723458, 0.2466837444420283, -0.3607923908986979, -0.15762410542487892, 0.2034120244336211, 0.13093677599519854, -0.04056928618067306, -0.003443753776890743, -0.2750184782619019, 0.12852097532918882, -0.02836275822483003, -0.18282049056142569, -0.059323288765477225, 0.11787245463993815, -0.0895412100944668, -0.2683001995901577, -0.025805648377475638, 0.15793829473356405, 0.09783269237313005, -0.07541818083781335, -0.0622786404225432, 0.023627312352699745, 0.09095922079318876, 0.017272477973253646, 0.168155474064406, 0.04028442633312403, -0.0300377409277846, -0.09436664174103902, 0.36122750387100194, -0.09728687169909891, -0.3655644109627853, 0.08445477410633531, -0.18077833198347232, -0.13371877363210338, 0.07267941051718986, 0.08629684519514234, 0.18769229006850058, -0.11537060054898676, 0.25935703215832795, -0.13888124394644466, 0.11708774914344151, 0.1381198700077625, -0.07978959365007338, 0.15573183255684045, 0.1116352344268105, 0.14356326083523324, 0.10517803544482579, 0.047604998528388225, -0.0043709380164121585, -0.34237044787086135, -0.18294663344729795, -0.15822040658288947, 0.23922689473794082, -0.046461973746570746, -0.1990586331553964, 0.3411803563228912, 0.02658818721991136, 0.21619295380595657, 0.08196498073488732, 0.23765523715378045, 0.10413950565129602, -0.04156397600632368, 0.1661706157416726, 0.1126203841348696, 0.1902832469495479, 0.021693083418843646, -0.13492565089513342, 0.012956825686463466, 0.1040322332798193]
|
706.2233
|
Two-dimensional defect modes in optically induced photonic lattices
|
In this article, localized linear defect modes due to bandgap guidance in
two-dimensional photonic lattices with localized or non-localized defects are
investigated theoretically. First, when the defect is localized and weak,
eigenvalues of defect modes bifurcated from edges of Bloch bands are derived
analytically. It is shown that in an attractive (repulsive) defect, defect
modes bifurcate out from Bloch-band edges with normal (anomalous) diffraction
coefficients. Furthermore, distances between defect-mode eigenvalues and
Bloch-band edges are exponentially small functions of the defect strength,
which is very different from the one-dimensional case where such distances are
quadratically small with the defect strength. It is also found that some
defect-mode branches bifurcate not from Bloch-band edges, but from quasi-edge
points within Bloch bands, which is very unusual. Second, when the defect is
localized but strong, defect modes are determined numerically. It is shown that
both the repulsive and attractive defects can support various types of defect
modes such as fundamental, dipole, quadrupole, and vortex modes. These modes
reside in various bandgaps of the photonic lattice. As the defect strength
increases, defect modes move from lower bandgaps to higher ones when the defect
is repulsive, but remain within each bandgap when the defect is attractive,
similar to the one-dimensional case. The same phenomena are observed when the
defect is held fixed while the applied dc field (which controls the lattice
potential) increases. Lastly, if the defect is non-localized (i.e. it persists
at large distances in the lattice), it is shown that defect modes can be
embedded inside the continuous spectrum, and they can bifurcate out from edges
of the continuous spectrum algebraically rather than exponentially.
|
physics.optics
|
in this article localized linear defect modes due to bandgap guidance in twodimensional photonic lattices with localized or nonlocalized defects are investigated theoretically first when the defect is localized and weak eigenvalues of defect modes bifurcated from edges of bloch bands are derived analytically it is shown that in an attractive repulsive defect defect modes bifurcate out from blochband edges with normal anomalous diffraction coefficients furthermore distances between defectmode eigenvalues and blochband edges are exponentially small functions of the defect strength which is very different from the onedimensional case where such distances are quadratically small with the defect strength it is also found that some defectmode branches bifurcate not from blochband edges but from quasiedge points within bloch bands which is very unusual second when the defect is localized but strong defect modes are determined numerically it is shown that both the repulsive and attractive defects can support various types of defect modes such as fundamental dipole quadrupole and vortex modes these modes reside in various bandgaps of the photonic lattice as the defect strength increases defect modes move from lower bandgaps to higher ones when the defect is repulsive but remain within each bandgap when the defect is attractive similar to the onedimensional case the same phenomena are observed when the defect is held fixed while the applied dc field which controls the lattice potential increases lastly if the defect is nonlocalized ie it persists at large distances in the lattice it is shown that defect modes can be embedded inside the continuous spectrum and they can bifurcate out from edges of the continuous spectrum algebraically rather than exponentially
|
[['in', 'this', 'article', 'localized', 'linear', 'defect', 'modes', 'due', 'to', 'bandgap', 'guidance', 'in', 'twodimensional', 'photonic', 'lattices', 'with', 'localized', 'or', 'nonlocalized', 'defects', 'are', 'investigated', 'theoretically', 'first', 'when', 'the', 'defect', 'is', 'localized', 'and', 'weak', 'eigenvalues', 'of', 'defect', 'modes', 'bifurcated', 'from', 'edges', 'of', 'bloch', 'bands', 'are', 'derived', 'analytically', 'it', 'is', 'shown', 'that', 'in', 'an', 'attractive', 'repulsive', 'defect', 'defect', 'modes', 'bifurcate', 'out', 'from', 'blochband', 'edges', 'with', 'normal', 'anomalous', 'diffraction', 'coefficients', 'furthermore', 'distances', 'between', 'defectmode', 'eigenvalues', 'and', 'blochband', 'edges', 'are', 'exponentially', 'small', 'functions', 'of', 'the', 'defect', 'strength', 'which', 'is', 'very', 'different', 'from', 'the', 'onedimensional', 'case', 'where', 'such', 'distances', 'are', 'quadratically', 'small', 'with', 'the', 'defect', 'strength', 'it', 'is', 'also', 'found', 'that', 'some', 'defectmode', 'branches', 'bifurcate', 'not', 'from', 'blochband', 'edges', 'but', 'from', 'quasiedge', 'points', 'within', 'bloch', 'bands', 'which', 'is', 'very', 'unusual', 'second', 'when', 'the', 'defect', 'is', 'localized', 'but', 'strong', 'defect', 'modes', 'are', 'determined', 'numerically', 'it', 'is', 'shown', 'that', 'both', 'the', 'repulsive', 'and', 'attractive', 'defects', 'can', 'support', 'various', 'types', 'of', 'defect', 'modes', 'such', 'as', 'fundamental', 'dipole', 'quadrupole', 'and', 'vortex', 'modes', 'these', 'modes', 'reside', 'in', 'various', 'bandgaps', 'of', 'the', 'photonic', 'lattice', 'as', 'the', 'defect', 'strength', 'increases', 'defect', 'modes', 'move', 'from', 'lower', 'bandgaps', 'to', 'higher', 'ones', 'when', 'the', 'defect', 'is', 'repulsive', 'but', 'remain', 'within', 'each', 'bandgap', 'when', 'the', 'defect', 'is', 'attractive', 'similar', 'to', 'the', 'onedimensional', 'case', 'the', 'same', 'phenomena', 'are', 'observed', 'when', 'the', 'defect', 'is', 'held', 'fixed', 'while', 'the', 'applied', 'dc', 'field', 'which', 'controls', 'the', 'lattice', 'potential', 'increases', 'lastly', 'if', 'the', 'defect', 'is', 'nonlocalized', 'ie', 'it', 'persists', 'at', 'large', 'distances', 'in', 'the', 'lattice', 'it', 'is', 'shown', 'that', 'defect', 'modes', 'can', 'be', 'embedded', 'inside', 'the', 'continuous', 'spectrum', 'and', 'they', 'can', 'bifurcate', 'out', 'from', 'edges', 'of', 'the', 'continuous', 'spectrum', 'algebraically', 'rather', 'than', 'exponentially']]
|
[-0.1351082551402999, 0.23080095236297207, -0.03340142932339644, 0.054322701899185914, -0.04299452171667884, -0.2022251181726839, 0.022826337120513046, 0.41463421618991764, -0.2743579954424783, -0.21483049039005347, 0.0646861645849214, -0.3305623146448264, -0.15892045067356672, 0.14215054227728188, 0.03165726729479989, 0.008332942658342892, 0.03715904157774932, 0.05518148713624001, -0.010837358566690028, -0.21033570468062224, 0.3019693806918068, -0.004617050395703781, 0.32867245932307, 0.0855959482044397, -0.026527393512344715, -0.009225611100631132, 0.09063664837792294, 0.06294509562314055, -0.10166586009444942, 0.07959342835346396, 0.2653768076890297, -0.05553850273992936, 0.2235439324372389, -0.45115980252512766, -0.19017420608557234, 0.07112656190271271, 0.20906536332348907, 0.18966655925627743, -0.0025169081677817724, -0.2862701743830785, 0.10034160476981153, -0.07317937461340793, -0.1648609981989855, -0.042827751050395095, 0.04693970050131314, 0.02827903496722092, -0.22930440227899243, 0.0960181942260452, 0.04992415906245159, 0.03978556336585751, -0.08657745300916796, -0.08585391868404407, -0.15133400450522932, 0.09422770333764158, 0.07536001858559987, 0.003515914297181434, 0.1507309272275765, -0.09512896258574409, -0.08342709637949845, 0.3942487020786422, -0.02464301702178033, -0.16827659146221038, 0.2312336646662644, -0.16182552925207164, -0.04479405896752886, 0.19544861110387765, 0.10476401543459374, 0.09572320809885583, -0.06942191548939997, 0.09917497579038635, -0.003479900449639027, 0.1559801344414844, 0.1236435937973044, 0.08441259613828422, 0.2665200079756626, 0.08632684938201064, 0.11932237231653862, 0.13632099016882882, -0.08483686075514688, -0.06315366262881618, -0.2689632902815107, -0.09093034324724379, -0.25134028677160414, 0.02638356827229104, -0.08622968340694834, -0.22392345842748246, 0.3884246669325382, 0.052403080147746466, 0.18422012198722892, -0.004620947819255071, 0.2015082064971023, 0.15813967576908244, 0.115475221879808, 0.07698947963885595, 0.28255507268141833, 0.12678297236042452, 0.030691628933790724, -0.214720320264782, -0.026967807316314776, 0.018537019279899706]
|
706.2234
|
A wide deep infrared look at the Pleiades with UKIDSS: new constraints
on the substellar binary fraction and the low mass IMF
|
We present the results of a deep wide-field near-infrared survey of 12 square
degrees of the Pleiades conducted as part of the UKIDSS Deep Infrared Sky
Survey (UKIDSS) Galactic Cluster Survey (GCS). We have extracted over 340 high
probability proper motion members down to 0.03 solar masses using a combination
of UKIDSS photometry and proper motion measurements obtained by
cross-correlating the GCS with data from the Two Micron All Sky Survey (2MASS),
the Isaac Newton (INT) and the Canada-France-Hawai'i (CFHT) telescopes.
Additionally, we have unearthed 73 new candidate brown dwarf members on the
basis of five band UKIDSS photometry alone. We have identified 23 substellar
multiple system candidates out of 63 candidate brown dwarfs from the (Y-K,Y)
and (J-K,J) colour-magnitude diagrams, yielding a binary frequency of 28-44% in
the 0.075-0.030 Msun mass range. Our estimate is three times larger than the
binary fractions reported from high-resolution imaging surveys of field
ultracool dwarfs and Pleiades brown dwarfs. However, it is marginally
consistent with our earlier ``peculiar'' photometric binary fraction of
50+/-10% presented in Pinfield et al. (2003), in good agreement with the 32-45%
binary fraction derived from the recent Monte-Carlo simulations of Maxted &
Jeffries (2005) and compatible with the 26+/-10% frequency recently estimated
by Basri & Reiners (2006). A tentative estimate of the mass ratios from
photometry alone seems to support the hypothesis that binary brown dwarfs tend
to reside in near equal-mass ratio systems. (abridged)
|
astro-ph
|
we present the results of a deep widefield nearinfrared survey of 12 square degrees of the pleiades conducted as part of the ukidss deep infrared sky survey ukidss galactic cluster survey gcs we have extracted over 340 high probability proper motion members down to 003 solar masses using a combination of ukidss photometry and proper motion measurements obtained by crosscorrelating the gcs with data from the two micron all sky survey 2mass the isaac newton int and the canadafrancehawaii cfht telescopes additionally we have unearthed 73 new candidate brown dwarf members on the basis of five band ukidss photometry alone we have identified 23 substellar multiple system candidates out of 63 candidate brown dwarfs from the yky and jkj colourmagnitude diagrams yielding a binary frequency of 2844 in the 00750030 msun mass range our estimate is three times larger than the binary fractions reported from highresolution imaging surveys of field ultracool dwarfs and pleiades brown dwarfs however it is marginally consistent with our earlier peculiar photometric binary fraction of 5010 presented in pinfield et al 2003 in good agreement with the 3245 binary fraction derived from the recent montecarlo simulations of maxted jeffries 2005 and compatible with the 2610 frequency recently estimated by basri reiners 2006 a tentative estimate of the mass ratios from photometry alone seems to support the hypothesis that binary brown dwarfs tend to reside in near equalmass ratio systems abridged
|
[['we', 'present', 'the', 'results', 'of', 'a', 'deep', 'widefield', 'nearinfrared', 'survey', 'of', '12', 'square', 'degrees', 'of', 'the', 'pleiades', 'conducted', 'as', 'part', 'of', 'the', 'ukidss', 'deep', 'infrared', 'sky', 'survey', 'ukidss', 'galactic', 'cluster', 'survey', 'gcs', 'we', 'have', 'extracted', 'over', '340', 'high', 'probability', 'proper', 'motion', 'members', 'down', 'to', '003', 'solar', 'masses', 'using', 'a', 'combination', 'of', 'ukidss', 'photometry', 'and', 'proper', 'motion', 'measurements', 'obtained', 'by', 'crosscorrelating', 'the', 'gcs', 'with', 'data', 'from', 'the', 'two', 'micron', 'all', 'sky', 'survey', '2mass', 'the', 'isaac', 'newton', 'int', 'and', 'the', 'canadafrancehawaii', 'cfht', 'telescopes', 'additionally', 'we', 'have', 'unearthed', '73', 'new', 'candidate', 'brown', 'dwarf', 'members', 'on', 'the', 'basis', 'of', 'five', 'band', 'ukidss', 'photometry', 'alone', 'we', 'have', 'identified', '23', 'substellar', 'multiple', 'system', 'candidates', 'out', 'of', '63', 'candidate', 'brown', 'dwarfs', 'from', 'the', 'yky', 'and', 'jkj', 'colourmagnitude', 'diagrams', 'yielding', 'a', 'binary', 'frequency', 'of', '2844', 'in', 'the', '00750030', 'msun', 'mass', 'range', 'our', 'estimate', 'is', 'three', 'times', 'larger', 'than', 'the', 'binary', 'fractions', 'reported', 'from', 'highresolution', 'imaging', 'surveys', 'of', 'field', 'ultracool', 'dwarfs', 'and', 'pleiades', 'brown', 'dwarfs', 'however', 'it', 'is', 'marginally', 'consistent', 'with', 'our', 'earlier', 'peculiar', 'photometric', 'binary', 'fraction', 'of', '5010', 'presented', 'in', 'pinfield', 'et', 'al', '2003', 'in', 'good', 'agreement', 'with', 'the', '3245', 'binary', 'fraction', 'derived', 'from', 'the', 'recent', 'montecarlo', 'simulations', 'of', 'maxted', 'jeffries', '2005', 'and', 'compatible', 'with', 'the', '2610', 'frequency', 'recently', 'estimated', 'by', 'basri', 'reiners', '2006', 'a', 'tentative', 'estimate', 'of', 'the', 'mass', 'ratios', 'from', 'photometry', 'alone', 'seems', 'to', 'support', 'the', 'hypothesis', 'that', 'binary', 'brown', 'dwarfs', 'tend', 'to', 'reside', 'in', 'near', 'equalmass', 'ratio', 'systems', 'abridged']]
|
[-0.04866617515951435, 0.07985247038709728, -0.08843862329528708, 0.05698920262714281, -0.15311845610647098, -0.02840247126903547, 0.14579904440122293, 0.38704515322739175, -0.10837003012825533, -0.39556052320150903, 0.05169213266496587, -0.3460044652081864, -0.048635385992795065, 0.23055336861162568, -0.07874095667477535, 0.00565523673709401, 0.14861430835849404, -0.13025084067966142, -0.01223853266413283, -0.34860713175781394, 0.2434378802675106, 0.06099648101472944, 0.12416366537344521, -0.1386073155844908, 0.07723297292579208, -0.04892687620493867, -0.1582749468866614, -0.029640945626179808, -0.2132956450715542, 0.004316311543706156, 0.24799650962383527, 0.10970833926340161, 0.19482634864404605, -0.23891540736607883, -0.15415896364771153, 0.047137500523873, 0.17246839649894316, -0.001870557914852448, -0.044680497053828414, -0.32112154080583105, 0.09984719277481022, -0.1977538380285968, -0.16336303893881648, 0.04262964382929647, 0.06402746607073705, 0.06272072241105059, -0.22298083862887047, 0.14080579520466374, -0.017321883589434234, 0.18657233923795108, -0.19581269258430795, -0.22373673909941041, -0.05604016239673871, 0.06271072906573587, -0.06597866610947835, 0.14404105195249228, 0.08338349861214342, -0.12384644909761847, -0.04499686531844022, 0.3566869720199105, -0.10227201772510813, 0.054463542738686435, 0.24007169776950438, -0.19388387659260922, -0.1869183586201752, 0.1360866785677069, 0.14179343055609775, 0.13721787411031192, -0.24294495669797153, 0.03837108244871437, -0.050662270775975904, 0.21014959543295528, 0.06708451079447632, 0.06830925593407618, 0.3560720478710921, 0.0873916130902691, 0.0005229313503545912, 0.06281450730950935, -0.3538286389378102, -0.04745081208934805, -0.17558599116417337, -0.06183762396053087, -0.16205753542118423, 0.08871157114323147, -0.11285350868730229, -0.09377870862359566, 0.295544355030617, 0.1357575675060102, 0.19846401321435975, 0.08505704669565287, 0.2830963329857458, 0.025797896516387878, 0.16184696286268857, 0.08123121619143564, 0.3470115626337128, 0.17690801278526044, 0.11082488805025249, -0.1913381279770123, -0.03595308570403849, 0.01006154396733188]
|
706.2235
|
Sn1987a Revisited after 20 Years: May the Supernova Bang More Than Once?
|
The observations of supernova 1987A in underground detectors are revisited.
It is shown that, while the LSD detector in the Mont Blanc Laboratory observed
only one burst at 2h 52min 36.8sec U.T., the Kamiokande data show a possible
second burst, in addition to the well known one at 7h 35min 33.7sec U.T. This
second burst consists of a cluster of seven pulses, well above the energy
threshold of the detector, observed during 6.2 seconds starting at 7h 54min
22.2sec U.T. Do these observations imply a long duration of the collapse?
|
gr-qc astro-ph
|
the observations of supernova 1987a in underground detectors are revisited it is shown that while the lsd detector in the mont blanc laboratory observed only one burst at 2h 52min 368sec ut the kamiokande data show a possible second burst in addition to the well known one at 7h 35min 337sec ut this second burst consists of a cluster of seven pulses well above the energy threshold of the detector observed during 62 seconds starting at 7h 54min 222sec ut do these observations imply a long duration of the collapse
|
[['the', 'observations', 'of', 'supernova', '1987a', 'in', 'underground', 'detectors', 'are', 'revisited', 'it', 'is', 'shown', 'that', 'while', 'the', 'lsd', 'detector', 'in', 'the', 'mont', 'blanc', 'laboratory', 'observed', 'only', 'one', 'burst', 'at', '2h', '52min', '368sec', 'ut', 'the', 'kamiokande', 'data', 'show', 'a', 'possible', 'second', 'burst', 'in', 'addition', 'to', 'the', 'well', 'known', 'one', 'at', '7h', '35min', '337sec', 'ut', 'this', 'second', 'burst', 'consists', 'of', 'a', 'cluster', 'of', 'seven', 'pulses', 'well', 'above', 'the', 'energy', 'threshold', 'of', 'the', 'detector', 'observed', 'during', '62', 'seconds', 'starting', 'at', '7h', '54min', '222sec', 'ut', 'do', 'these', 'observations', 'imply', 'a', 'long', 'duration', 'of', 'the', 'collapse']]
|
[-0.079232731454677, 0.12992046366938773, -0.03591178726843175, 0.11267039475633818, -0.014417545716552174, -0.13293745775214014, 0.025818562792504534, 0.3735685565673253, -0.1911940799697357, -0.3389373143439811, 0.128932259748142, -0.3374159170424237, -0.03693734339493163, 0.21818472589777016, 0.02132468548439005, 0.014243316642173072, 0.1275912851369118, 0.07626762474777506, -0.07936601238530677, -0.25610792747671335, 0.18540756750632734, 0.14057250298997936, 0.21675421865109135, -0.011964724075925701, 0.1314216283547199, -0.07044370627742919, -0.02684899953139179, -0.09784053922356928, -0.1079116973619367, -0.0853505690856015, 0.2601093859981869, 0.12568049076396753, 0.19479192951146293, -0.4235781963476363, -0.21121710904819124, 0.06377232974970384, 0.08139258504790418, 0.014502238654805457, -0.008751295539824401, -0.3246623311575283, 0.04009707657729878, -0.15421746110214907, -0.14728070553392172, 0.12192882334484774, 0.03303925345158752, 0.0573862703756758, -0.21318099632968798, 0.08363244477522505, 0.02118640856762581, 0.004073634319116964, -0.05650122017216157, -0.08904166086850797, 0.010163489948300755, 0.049527808332897945, 0.04574557236834046, 0.060150324427248804, 0.07732981733758659, -0.07939219932510135, -0.03435806972796426, 0.35794158220729405, -0.06571797891793882, 0.09168839189497864, 0.16621871268486274, -0.2406139728065361, -0.18837799673680874, 0.2099045281243675, 0.10803627412875785, 0.08212809420245536, -0.1634061940452632, -0.0006611961213981404, -0.021741900768350152, 0.19935140662333545, 0.12070250726469299, -0.002341931860000306, 0.20067969101535924, 0.2069168868529446, 0.035138427841422314, 0.06211044050287455, -0.2648539586650098, 0.009016860631869777, -0.35209241253049933, -0.07306132353842258, -0.17705076954820576, 0.08283279352027047, -0.025080606954939227, -0.09779515599605956, 0.38523401631151927, 0.07327848877757788, 0.18340750696849736, 0.014023684419910698, 0.19261434307623215, 0.03304481976391638, 0.09321758266647949, 0.08129554322427686, 0.345079471970744, 0.08398383314556936, 0.19170290052562075, -0.19410303890883154, 0.046119775521733304, 0.019482328019255552]
|
706.2236
|
Solution of the Dirac Equation using the Lanczos Algorithm
|
Covergent eigensolutions of the Dirac Equation for a relativistic electron in
an external Coulomb potential are obtained using the Lanczos Algorithm. A
tri-diagonal matrix representation of the Dirac Hamiltonian operator is
constructed iteratively and diagonalized after each iteration step to form a
sequence of convergent eigenvalue solutions. Any spurious solutions which arise
from the presence of continuum states can easily be identified.
|
math-ph math.GM math.MP
|
covergent eigensolutions of the dirac equation for a relativistic electron in an external coulomb potential are obtained using the lanczos algorithm a tridiagonal matrix representation of the dirac hamiltonian operator is constructed iteratively and diagonalized after each iteration step to form a sequence of convergent eigenvalue solutions any spurious solutions which arise from the presence of continuum states can easily be identified
|
[['covergent', 'eigensolutions', 'of', 'the', 'dirac', 'equation', 'for', 'a', 'relativistic', 'electron', 'in', 'an', 'external', 'coulomb', 'potential', 'are', 'obtained', 'using', 'the', 'lanczos', 'algorithm', 'a', 'tridiagonal', 'matrix', 'representation', 'of', 'the', 'dirac', 'hamiltonian', 'operator', 'is', 'constructed', 'iteratively', 'and', 'diagonalized', 'after', 'each', 'iteration', 'step', 'to', 'form', 'a', 'sequence', 'of', 'convergent', 'eigenvalue', 'solutions', 'any', 'spurious', 'solutions', 'which', 'arise', 'from', 'the', 'presence', 'of', 'continuum', 'states', 'can', 'easily', 'be', 'identified']]
|
[-0.13428926379343525, 0.10923014387519854, -0.10157054013832183, 0.06138623577015871, -0.06033740485789346, -0.1838006635929351, 0.012146686466666489, 0.3336822341089366, -0.31826244404570003, -0.24490994351656467, 0.06594616960024187, -0.30553577412835886, -0.1486844286345495, 0.1230555951717447, 0.052521415772374534, 0.08818610468459484, 0.14516880733846518, 0.04300650265678519, -0.12461793689881681, -0.18127153366498772, 0.3228545048060354, 0.020020239650592454, 0.14916542355642945, -0.022903540980864744, 0.10471070527679241, -0.007396236059187194, 0.040843865513557294, -0.0187097238071385, 0.0062246188048090114, 0.06098588705578147, 0.26441285612260096, 0.06265480883541655, 0.2767422119399808, -0.4377897306360671, -0.16490862120065045, 0.09301818183577451, 0.2307670294978946, 0.17233457074874675, -0.06905259411843097, -0.3540307302485968, 0.06000610316538664, -0.16190145037053, -0.21969944489051085, -0.11301369760490831, -0.0622956568039343, 0.006461582742020732, -0.3383001227897485, 0.08629350640169788, 0.027826748805532812, -0.02955056461658268, -0.10248373350372812, -0.14668941593988508, -0.06096509430313208, 0.0734516599513285, 0.00616492158122605, 0.023051769831446838, 0.09186272418553956, -0.07523201235768492, -0.07928790287191018, 0.38145214166553293, -0.06267381581996918, -0.27233897519038347, 0.07381314478936743, -0.06837905020468303, -0.09764884348164816, 0.18601478904974264, 0.09735859983999541, 0.14229557084179192, -0.2001043822097241, 0.14777748356859552, -0.03896687840126821, 0.11618507527708091, 0.09034039355722852, -0.021497558771831092, 0.17171491697797034, 0.030300636104017984, 0.09220621331793363, 0.09833643577714282, -0.012713147907472048, -0.09195948040234994, -0.3062493029187937, -0.1322521116340258, -0.2858286491732617, 0.07122078308927231, -0.12118767583566206, -0.21109499770109771, 0.44635520169566784, 0.08506403533650227, 0.1752168998832158, 0.009086304040793634, 0.228406091144339, 0.28796895880435336, 0.07219182655642756, 0.08944416105304463, 0.1675937398581109, 0.16788640839704236, 0.058843777667669975, -0.26887367388374767, -0.0447385667405305, 0.2352915365233651]
|
706.2237
|
A brief note on how to unify dark matter, dark energy, and inflation
|
A scenario in which inflation, dark energy and dark matter can be unified
into a single scalar field, the inflaton field $\phi$, is studied. The inflaton
is identified with the sneutrino, the scalar partner of the heavy neutrino. We
determine the conditions needed for avoiding the gravitino problem and not
having negligible plasma effects and we obtain the allowed range for the
sneutrino coupling.
|
hep-ph
|
a scenario in which inflation dark energy and dark matter can be unified into a single scalar field the inflaton field phi is studied the inflaton is identified with the sneutrino the scalar partner of the heavy neutrino we determine the conditions needed for avoiding the gravitino problem and not having negligible plasma effects and we obtain the allowed range for the sneutrino coupling
|
[['a', 'scenario', 'in', 'which', 'inflation', 'dark', 'energy', 'and', 'dark', 'matter', 'can', 'be', 'unified', 'into', 'a', 'single', 'scalar', 'field', 'the', 'inflaton', 'field', 'phi', 'is', 'studied', 'the', 'inflaton', 'is', 'identified', 'with', 'the', 'sneutrino', 'the', 'scalar', 'partner', 'of', 'the', 'heavy', 'neutrino', 'we', 'determine', 'the', 'conditions', 'needed', 'for', 'avoiding', 'the', 'gravitino', 'problem', 'and', 'not', 'having', 'negligible', 'plasma', 'effects', 'and', 'we', 'obtain', 'the', 'allowed', 'range', 'for', 'the', 'sneutrino', 'coupling']]
|
[-0.16965904276366928, 0.26773694778967183, -0.08257921107724542, 0.18672993870495702, -0.10737831117512542, -0.1884426500328118, -0.02469505493354518, 0.29734271625056863, -0.21490547372377478, -0.35222595278173685, 0.019279150028523873, -0.19103513720619958, 0.005582669458817691, 0.13379054921097122, 0.039104215102270246, 0.02349057864921633, 0.020038678572745994, 0.07105545877129771, 0.019134494781610556, -0.25828800050476275, 0.30363403957744595, 0.041575973664294, 0.15354530696640722, 0.0965095900464803, 0.07531123619992286, -0.024732553170906613, 0.004398574998049298, -0.08135003037750721, -0.14296853658811415, 0.019562283048799145, 0.1393829263979569, 0.08451547898221179, 0.19825788547314005, -0.3993417454767041, -0.2293728687654948, 0.28608375108160544, 0.1651519113656832, 0.10167179454765574, -0.104686126273009, -0.2919789099105401, 0.07801981130614877, -0.1794640128791798, -0.08404041253379546, -0.038998914008516294, -0.07232374540399178, -0.12762074160855263, -0.37880534498981433, 0.0961136448763682, -0.09858541737048654, -0.0738371569023002, -0.0699934170988854, -0.11187347918166779, -0.06033022690098733, 3.3613803680054843e-05, 0.18790154274756787, 0.006431669862649869, 0.21654068633142742, -0.23578730021836236, -0.015643656657630345, 0.4428730106446892, -0.16537695148508647, -0.17721720283589093, 0.08101985696703196, -0.10134266139357351, -0.10732735985948239, 0.11190035106847063, 0.1240707435645163, 0.11615817563870223, -0.14798182574486418, 0.19954712335038494, -0.01988408107717987, 0.1569508616521489, 0.06290531699778512, 0.05333981686271727, 0.36490736954146996, 0.15999870304949582, 0.0644829640741591, 0.09828230425591755, -0.051767047225439455, -0.09015335643198341, -0.4193196954438463, -0.1398800475835742, -0.09491131280083209, 0.006794208249857547, -0.08949348392638967, -0.12965660382178612, 0.460419143200852, 0.08587109900690848, 0.19270866201259196, -0.00820148530874576, 0.28374260820419295, 0.12583140179049224, 0.06121715760673396, 0.035000092581299214, 0.33722770621534437, 0.15244093077490106, 0.16920605950872414, -0.2620685417932691, -0.0726208435735316, -0.008739009470446035]
|
706.2238
|
Renormalization Reductions for Systems with Delay
|
The renormalization method which is a type of perturbation method is extended
to a tool to study weakly nonlinear time-delay systems. For systems with
order-one delay, we show that the renormalization method leads to reduced
systems without delay. For systems with order-one and large-delay, we propose
an extended renormalization method which leads to reduced systems with delay.
In some examples, the validities of our perturbative results are confirmed
analytically and numerically. We also compare our reduced equations with
reduced ones obtained by another perturbation method.
|
nlin.PS nlin.CD
|
the renormalization method which is a type of perturbation method is extended to a tool to study weakly nonlinear timedelay systems for systems with orderone delay we show that the renormalization method leads to reduced systems without delay for systems with orderone and largedelay we propose an extended renormalization method which leads to reduced systems with delay in some examples the validities of our perturbative results are confirmed analytically and numerically we also compare our reduced equations with reduced ones obtained by another perturbation method
|
[['the', 'renormalization', 'method', 'which', 'is', 'a', 'type', 'of', 'perturbation', 'method', 'is', 'extended', 'to', 'a', 'tool', 'to', 'study', 'weakly', 'nonlinear', 'timedelay', 'systems', 'for', 'systems', 'with', 'orderone', 'delay', 'we', 'show', 'that', 'the', 'renormalization', 'method', 'leads', 'to', 'reduced', 'systems', 'without', 'delay', 'for', 'systems', 'with', 'orderone', 'and', 'largedelay', 'we', 'propose', 'an', 'extended', 'renormalization', 'method', 'which', 'leads', 'to', 'reduced', 'systems', 'with', 'delay', 'in', 'some', 'examples', 'the', 'validities', 'of', 'our', 'perturbative', 'results', 'are', 'confirmed', 'analytically', 'and', 'numerically', 'we', 'also', 'compare', 'our', 'reduced', 'equations', 'with', 'reduced', 'ones', 'obtained', 'by', 'another', 'perturbation', 'method']]
|
[-0.12643365282565355, 0.0527421151236922, -0.10997717324755199, 0.04115142683786828, -0.018485824821428173, -0.16804936283179336, 0.0415457053625557, 0.36775900711793275, -0.25327710982500795, -0.28200442504714285, 0.0957537621960953, -0.26127812676436624, -0.22170827242856225, 0.2661364196489255, -0.030525700300044957, 0.08379997036951993, 0.08881637439342394, 0.012460191346084079, -0.12763279188878923, -0.26674428370703634, 0.34026776331787306, 0.021359427898590053, 0.22340390046260186, 0.017611021059565246, 0.07307046147373815, -0.027555469265540262, -0.040497037809386495, 0.08964379714147765, -0.10378492046939278, 0.1299444721884183, 0.2244208344324891, 0.042609423282556236, 0.24949927513842426, -0.376091351244776, -0.25049930316440405, 0.03864084010101145, 0.14694271575371248, 0.21089409089680494, -0.04066481232959112, -0.332794066828986, 0.12746856703112522, -0.22377001142705835, -0.1939615836877021, -0.15550682152665796, -0.03978982796182945, 0.003488374890626541, -0.28291927865662037, 0.11197795487983274, -0.01062743710575714, -0.02603396359786746, -0.03399132192689216, -0.03521942604510557, 0.01227694523099455, 0.06097191317738699, 0.04404932638460325, -0.02644511517081853, 0.06252028018103115, -0.07402318758734812, -0.09397162278626292, 0.39646603499672245, -0.11361298348665946, -0.22765668154793925, 0.20440221044312543, -0.07768369850236923, -0.12146737095567264, 0.14356597152627296, 0.17038147502933584, 0.1505458022778233, -0.15371392751556068, 0.05837520536096279, 0.012137963112244117, 0.20861923377517433, -0.02120971760069508, -0.010395308912155173, 0.06747895781882107, 0.15452904884503887, 0.09427662487585275, 0.13843658934846254, -0.009955114551952906, -0.09806970397143491, -0.28222247776353643, -0.10353345929234777, -0.12103216251402739, 0.01254989993980243, -0.09082438203560221, -0.1391817001013329, 0.35982980946123244, 0.19311984531426182, 0.17065582286921285, 0.0991037123770054, 0.2859411257474373, 0.23364918139330776, 0.07129032976393189, 0.045261699961320984, 0.22486284461289566, 0.15585226656791443, 0.0796495623930934, -0.3013443854371352, -0.01943925527545313, 0.13022764083663269]
|
706.2239
|
Infinitesimal Castelnuovo Theory in Abelian Varieties
|
The purpose of this article is to show that the Castelnuovo theory for
abelian varieties, developed by G. Pareschi and M. Popa, can be
infinitesimalized. More precisely, we prove that an irreducible principally
polarized abelian variety has a finite scheme in extremal position, in the
sense of Castelnuovo theory for abelian varieties, if, and only if, it is a
Jacobian and the scheme is contained in a unique Abel-Jacobi curve.
|
math.AG
|
the purpose of this article is to show that the castelnuovo theory for abelian varieties developed by g pareschi and m popa can be infinitesimalized more precisely we prove that an irreducible principally polarized abelian variety has a finite scheme in extremal position in the sense of castelnuovo theory for abelian varieties if and only if it is a jacobian and the scheme is contained in a unique abeljacobi curve
|
[['the', 'purpose', 'of', 'this', 'article', 'is', 'to', 'show', 'that', 'the', 'castelnuovo', 'theory', 'for', 'abelian', 'varieties', 'developed', 'by', 'g', 'pareschi', 'and', 'm', 'popa', 'can', 'be', 'infinitesimalized', 'more', 'precisely', 'we', 'prove', 'that', 'an', 'irreducible', 'principally', 'polarized', 'abelian', 'variety', 'has', 'a', 'finite', 'scheme', 'in', 'extremal', 'position', 'in', 'the', 'sense', 'of', 'castelnuovo', 'theory', 'for', 'abelian', 'varieties', 'if', 'and', 'only', 'if', 'it', 'is', 'a', 'jacobian', 'and', 'the', 'scheme', 'is', 'contained', 'in', 'a', 'unique', 'abeljacobi', 'curve']]
|
[-0.1437172143622234, 0.10609083559783344, -0.1692374501330103, 0.06675665433167656, -0.08706362436161093, -0.1638851564553013, -0.02511524085454859, 0.35551372507884016, -0.3163763361888519, -0.1772280417220748, 0.09511250247453353, -0.22559757760820398, -0.1758711428206036, 0.24119397736343462, -0.19520571024791486, -0.050911741709147675, 0.04189843669587719, 0.07938269323979814, -0.045232641142860484, -0.3628966028707615, 0.3914360061854772, -0.06151160357546979, 0.27083923422016093, 0.10959452229292145, 0.13857311621794235, 0.034532388759965914, 0.010492743735296139, 0.012598644321163496, -0.09909569063882742, 0.14753006077945177, 0.3586904394838527, 0.08595370835931701, 0.18813936633692271, -0.31350886636832054, -0.18354203083646903, 0.22785743087044227, 0.10361647851549197, 0.061876934902418565, -0.004785814492303568, -0.2077218729030827, 0.17402423479580792, -0.1973430051508805, -0.20206784827472724, -0.09017243611531844, 0.1194839274537736, -0.009308837894080341, -0.23639571028289155, -0.05039608259212928, 0.1106025951921238, 0.13916326466731835, 0.0025797783788563547, -0.050220757520393185, -0.07596046083431313, 0.013872795556064533, -0.013106969043450512, 0.10158391262445113, 0.036103951002376664, -0.11750994217447072, -0.07362378383413011, 0.36787001229822636, -0.09407025602632675, -0.22295754307044158, 0.10731671761343445, -0.17233957957975782, -0.13667697761801706, 0.1462857225180968, 0.0803218174631289, 0.21011794142533038, -0.04598422314755726, 0.1999716648428728, -0.1738758676725885, 0.1082609793090302, 0.06575301641714759, -0.05817431884993245, 0.12796710241262033, 0.08799763637648868, 0.08677261453661797, 0.08963744956291401, 0.004015787531608256, 0.030124651592062866, -0.35503581260749395, -0.1938100939589566, -0.1403242398215377, 0.15645936451366413, -0.04380139987683767, -0.12812641649034576, 0.3812149064179866, 0.08149409645736433, 0.12411455849887452, 0.04792636916365312, 0.23892933135663252, 0.05876565982412169, -0.010246972330724415, 0.09795070054225516, 0.14929573351274367, 0.22977696592325642, -0.05824011755918247, -0.14038903011090081, 0.008535663624280605, 0.20790961531895227]
|
706.224
|
Vibration-mediated resonant tunneling and shot noise through a molecular
quantum dot
|
Motivated by a recent experiment on nonlinear tunneling in a suspended Carbon
nanotube connected to two normal electrodes [S. Sapmaz, {\it et al}., Phys.
Rev. Lett. {\bf 96}, 26801 (2006)], we investigate nonequilibrium
vibration-mediated sequential tunneling through a molecular quantum dot with
two electronic orbitals asymmetrically coupled to two electrodes and strongly
interacting with an internal vibrational mode, which is itself weakly coupled
to a dissipative phonon bath. For this purpose, we establish rate equations
using a generic quantum Langevin equation approach. Based on these equations,
we study in detail the current-voltage characteristics and zero-frequency shot
noise, paying special attention to the advanced or postponed of the appearance
of negative differential conductance and super-Poissonian current noise
resulting from electron-phonon-coupling induced {\em selective unidirectional
cascades of single-electron transitions}.
|
cond-mat.mes-hall
|
motivated by a recent experiment on nonlinear tunneling in a suspended carbon nanotube connected to two normal electrodes s sapmaz it et al phys rev lett bf 96 26801 2006 we investigate nonequilibrium vibrationmediated sequential tunneling through a molecular quantum dot with two electronic orbitals asymmetrically coupled to two electrodes and strongly interacting with an internal vibrational mode which is itself weakly coupled to a dissipative phonon bath for this purpose we establish rate equations using a generic quantum langevin equation approach based on these equations we study in detail the currentvoltage characteristics and zerofrequency shot noise paying special attention to the advanced or postponed of the appearance of negative differential conductance and superpoissonian current noise resulting from electronphononcoupling induced em selective unidirectional cascades of singleelectron transitions
|
[['motivated', 'by', 'a', 'recent', 'experiment', 'on', 'nonlinear', 'tunneling', 'in', 'a', 'suspended', 'carbon', 'nanotube', 'connected', 'to', 'two', 'normal', 'electrodes', 's', 'sapmaz', 'it', 'et', 'al', 'phys', 'rev', 'lett', 'bf', '96', '26801', '2006', 'we', 'investigate', 'nonequilibrium', 'vibrationmediated', 'sequential', 'tunneling', 'through', 'a', 'molecular', 'quantum', 'dot', 'with', 'two', 'electronic', 'orbitals', 'asymmetrically', 'coupled', 'to', 'two', 'electrodes', 'and', 'strongly', 'interacting', 'with', 'an', 'internal', 'vibrational', 'mode', 'which', 'is', 'itself', 'weakly', 'coupled', 'to', 'a', 'dissipative', 'phonon', 'bath', 'for', 'this', 'purpose', 'we', 'establish', 'rate', 'equations', 'using', 'a', 'generic', 'quantum', 'langevin', 'equation', 'approach', 'based', 'on', 'these', 'equations', 'we', 'study', 'in', 'detail', 'the', 'currentvoltage', 'characteristics', 'and', 'zerofrequency', 'shot', 'noise', 'paying', 'special', 'attention', 'to', 'the', 'advanced', 'or', 'postponed', 'of', 'the', 'appearance', 'of', 'negative', 'differential', 'conductance', 'and', 'superpoissonian', 'current', 'noise', 'resulting', 'from', 'electronphononcoupling', 'induced', 'em', 'selective', 'unidirectional', 'cascades', 'of', 'singleelectron', 'transitions']]
|
[-0.15810017435879056, 0.1531417487057033, -0.0177549947484918, -0.0369041868346563, -0.05207617972947417, -0.20469386118178767, 0.08424169144352837, 0.3596771656866035, -0.2290514479363112, -0.26191435581553846, -0.07605568354483694, -0.3139521975047706, -0.20636811779413913, 0.18487995106824523, -0.04288369051421121, 0.03880586291873647, 0.05623175320262465, -0.06284182349730644, -0.015044645126533484, -0.20574652169260285, 0.2521868801202565, 0.06073281509358616, 0.3230194121433963, 0.03260914271607274, 0.10231945662188434, 0.02260057290456438, 0.017229022212221376, 0.01828556225800346, -0.18058349961727566, 0.0433887725192753, 0.23526026829588978, -0.0833667490879898, 0.2417562950567733, -0.5024210787077825, -0.19519938441789558, 0.04930039595872644, 0.07988848236592246, 0.17439403001035023, -0.00875844118643492, -0.3404331615855617, -0.012949626237499498, -0.17662963613251886, -0.07374529145853294, -0.07634762678513184, 0.03759678588399003, 0.030863590803252714, -0.2481801336736328, 0.14014924148232827, 0.06328034403193142, 0.021934011453741995, 0.0290208249540639, -0.041879448816255334, -0.04439346836654529, -0.021994514385193224, -0.04444719278892022, -0.003684665975836857, 0.22180872494162382, -0.09009696067228253, -0.13092677705290337, 0.29195720813192066, -0.10947506722145443, -0.1871349231880759, 0.2248719715299235, -0.1338423580539623, -0.08701842773570528, 0.13877340733926113, 0.13899473589845002, 0.13665614338899632, -0.2304499751790577, 0.07234385488564224, 0.01044470105215066, 0.13538053700692892, 0.10364219438915531, 0.045333605548817546, 0.21079247806131118, 0.17865790818975638, -0.011085791505813118, 0.139507663413702, -0.10025647867493512, -0.1343422847703257, -0.25087935787685695, -0.14906008789623756, -0.1823529360011772, 0.16753873484389437, 0.0341732171757265, -0.1836990115923747, 0.42461395015819897, 0.12432014972024087, 0.18576405742280785, -0.06576474667470451, 0.2682336310165063, 0.1676252125424423, -0.04264474723247751, 0.058184924340176004, 0.21621667889450047, 0.23437568360766878, 0.0965338303865264, -0.33347138272215343, -0.024317573984116016, 0.012905757994421067]
|
706.2241
|
Dynamics-Controlled Truncation Scheme for Nonlinear Dynamics in
Semiconductor Microcavities
|
We present a systematic theory of Coulomb-induced correlation effects in the
nonlinear optical processes within the strong-coupling regime. In this paper we
shall set a dynamics controlled truncation scheme \cite{Axt Stahl} microscopic
treatment of nonlinear parametric processes in SMCs including the
electromagnetic field quantization. It represents the starting point for the
microscopic approach to quantum optics experiments in the strong coupling
regime without any assumption on the quantum statistics of electronic
excitations (excitons) involved. We exploit a previous technique, used in the
semiclassical context, which, once applied to four-wave mixing in quantum
wells, allowed to understand a wide range of observed phenomena \cite{Sham
PRL95}. We end up with dynamical equations for exciton and photon operators
which extend the usual semiclassical description of Coulomb interaction
effects, in terms of a mean-field term plus a genuine non-instantaneous
four-particle correlation, to quantum optical effects.
|
cond-mat.mes-hall
|
we present a systematic theory of coulombinduced correlation effects in the nonlinear optical processes within the strongcoupling regime in this paper we shall set a dynamics controlled truncation scheme citeaxt stahl microscopic treatment of nonlinear parametric processes in smcs including the electromagnetic field quantization it represents the starting point for the microscopic approach to quantum optics experiments in the strong coupling regime without any assumption on the quantum statistics of electronic excitations excitons involved we exploit a previous technique used in the semiclassical context which once applied to fourwave mixing in quantum wells allowed to understand a wide range of observed phenomena citesham prl95 we end up with dynamical equations for exciton and photon operators which extend the usual semiclassical description of coulomb interaction effects in terms of a meanfield term plus a genuine noninstantaneous fourparticle correlation to quantum optical effects
|
[['we', 'present', 'a', 'systematic', 'theory', 'of', 'coulombinduced', 'correlation', 'effects', 'in', 'the', 'nonlinear', 'optical', 'processes', 'within', 'the', 'strongcoupling', 'regime', 'in', 'this', 'paper', 'we', 'shall', 'set', 'a', 'dynamics', 'controlled', 'truncation', 'scheme', 'citeaxt', 'stahl', 'microscopic', 'treatment', 'of', 'nonlinear', 'parametric', 'processes', 'in', 'smcs', 'including', 'the', 'electromagnetic', 'field', 'quantization', 'it', 'represents', 'the', 'starting', 'point', 'for', 'the', 'microscopic', 'approach', 'to', 'quantum', 'optics', 'experiments', 'in', 'the', 'strong', 'coupling', 'regime', 'without', 'any', 'assumption', 'on', 'the', 'quantum', 'statistics', 'of', 'electronic', 'excitations', 'excitons', 'involved', 'we', 'exploit', 'a', 'previous', 'technique', 'used', 'in', 'the', 'semiclassical', 'context', 'which', 'once', 'applied', 'to', 'fourwave', 'mixing', 'in', 'quantum', 'wells', 'allowed', 'to', 'understand', 'a', 'wide', 'range', 'of', 'observed', 'phenomena', 'citesham', 'prl95', 'we', 'end', 'up', 'with', 'dynamical', 'equations', 'for', 'exciton', 'and', 'photon', 'operators', 'which', 'extend', 'the', 'usual', 'semiclassical', 'description', 'of', 'coulomb', 'interaction', 'effects', 'in', 'terms', 'of', 'a', 'meanfield', 'term', 'plus', 'a', 'genuine', 'noninstantaneous', 'fourparticle', 'correlation', 'to', 'quantum', 'optical', 'effects']]
|
[-0.12414575247701419, 0.15469008824531583, -0.10822916286660061, 0.09604814958816016, -0.03401342777035914, -0.11659735593475752, 0.07202595726931063, 0.3307455896359423, -0.25916358675686235, -0.247730182159854, -0.01983173133086656, -0.2673171680366647, -0.16480099287666922, 0.17603194835744257, 0.01765195793721933, 0.08046393999424965, 0.02291485464092398, -0.04093428599256752, -0.06459168723001536, -0.16314568484380867, 0.31058528214909026, 0.023759786339908624, 0.26233018947549275, 0.07472808644566956, 0.10812381993763256, 0.05325915162330088, 0.017386050017523594, -0.0082258901025668, -0.14260551145813172, 0.061266394087410386, 0.2632817393442973, -0.030811971497209066, 0.2841365106565797, -0.4615210230509494, -0.2547351597011953, 0.06358024940920481, 0.15055489296808947, 0.19986519411854123, -0.04534009769090715, -0.28892247586349107, -0.021179817724918972, -0.18117576393474272, -0.13598532060775365, -0.08628458942057214, -0.031181621051855735, -0.03171061583713669, -0.2862810273958451, 0.10585344084825339, 0.05484294325034843, 0.042323883345765666, -0.02949793705045232, -0.02524927430731359, 0.05543115986949778, 0.08858355671248358, -0.02285280081180289, -0.004394491580213704, 0.1306387047145003, -0.1639840706501264, -0.13510726700263584, 0.38991172624493786, -0.09634064271138387, -0.18890319528409105, 0.1684915915576984, -0.17946401741874465, -0.11075472805406088, 0.11419198935365547, 0.17435122088848046, 0.11312938647925098, -0.17779201915339177, 0.1179353545813828, 0.02162042150840811, 0.16107930501765214, 0.030213848998149235, 0.14070820699756345, 0.17558328812752944, 0.14871943555772305, -0.009443389521776766, 0.11755645851456169, -0.07849222851370502, -0.18833484264779027, -0.3333954341655624, -0.08259412987103713, -0.14880671783728336, 0.09977846095959346, -0.059517867010098584, -0.17693797676095172, 0.4070960087687706, 0.18202384912908293, 0.13321592583341282, -0.014624556179826512, 0.2624947898523491, 0.1616248901338912, 0.06037943789809672, -0.012502840966445165, 0.29904949244287243, 0.18963280487535655, 0.1039478109113575, -0.28105755397995963, -0.019384065420245348, 0.0739630146400895]
|
706.2242
|
HERMES measurements of Collins and Sivers asymmetries from a
transversely polarised hydrogen target
|
Azimuthal single-spin asymmetries (SSA) in semi-inclusive electroproduction
of pi-mesons and charged K-mesons in deep-inelastic scattering of positrons and
electrons on a transversely polarised hydrogen target were observed.
Significant SSA amplitudes for both the Collins and the Sivers mechanism are
presented for the full data set recorded with transverse target polarisation at
the HERMES experiment.
|
hep-ex
|
azimuthal singlespin asymmetries ssa in semiinclusive electroproduction of pimesons and charged kmesons in deepinelastic scattering of positrons and electrons on a transversely polarised hydrogen target were observed significant ssa amplitudes for both the collins and the sivers mechanism are presented for the full data set recorded with transverse target polarisation at the hermes experiment
|
[['azimuthal', 'singlespin', 'asymmetries', 'ssa', 'in', 'semiinclusive', 'electroproduction', 'of', 'pimesons', 'and', 'charged', 'kmesons', 'in', 'deepinelastic', 'scattering', 'of', 'positrons', 'and', 'electrons', 'on', 'a', 'transversely', 'polarised', 'hydrogen', 'target', 'were', 'observed', 'significant', 'ssa', 'amplitudes', 'for', 'both', 'the', 'collins', 'and', 'the', 'sivers', 'mechanism', 'are', 'presented', 'for', 'the', 'full', 'data', 'set', 'recorded', 'with', 'transverse', 'target', 'polarisation', 'at', 'the', 'hermes', 'experiment']]
|
[-0.03915109798846835, 0.25277476599095045, -0.10404551588861202, 0.1979295267826981, -0.010038572363555431, -0.04826047598315334, -0.04187572361142547, 0.4472472779452801, -0.14129324312563296, -0.16220963580740821, -0.1568570851339717, -0.41437618706927254, 0.11696779817618706, 0.17759950405538635, 0.18425693295689094, 0.1172932105794273, 0.10801022829211972, -0.12170925622598992, 0.0682414136223357, -0.17418707996882773, 0.3304206657620078, 0.06450578537812733, 0.32787416068216163, 0.18120735936315246, 0.10726378966096996, 0.21287929842731468, -0.1522365087574279, -0.08813740666610775, -0.005741916648629639, 0.04812559661351972, 0.2893931798774887, 0.09522251694364024, -0.047027822169992656, -0.4293356028695901, -0.051910736649814576, 0.09165839535287684, 0.1332414002088761, 0.12588410698636263, -0.10385087907478144, -0.3081405573283081, -0.020907668138129845, -0.1575740149365393, -0.1500202647358593, -0.10126090740474562, 0.07033671200904926, 0.02095672871089644, -0.3585366197965211, 0.05086169478966406, -0.04305640687407167, 0.07220843655091745, -0.03896159632131457, -0.28238712220142287, -0.10293415742840066, 0.0018457013820470482, 0.11837039130774361, 0.2074462769691039, 0.16616321372351162, -0.16537571239664597, -0.2143379397371232, 0.30878672808736424, 0.008523333339124091, -0.18298571494718394, 0.032509822441540936, -0.4058971189445368, -0.13604485263392604, 0.20582495253809072, 0.2970841063393487, 0.09941465640440583, -0.24756804776067534, 0.040483382441043096, -0.09333472616142696, 0.12141124431595758, 0.1657397591733132, 0.02446698592285867, 0.19367109734944446, 0.19159685834677442, -0.0996271199029353, 0.052652301784190864, -0.2667961167473415, -0.02810502159236758, -0.35152258779163714, -0.08638722514647439, -0.045073053544102654, 0.08514192368386796, -0.00538521769582682, -0.008466767492117706, 0.3528908634282373, -0.0111276940787556, 0.26414591667276843, -0.050751833059756016, 0.3875615056949081, 0.025241996909985406, 0.04209415330896499, 0.04490578203048143, 0.25972960158078756, 0.19582315245039622, 0.2718954656480087, -0.26911115515287276, 0.09949184813605691, -0.041262292958520075]
|
706.2243
|
GAVO Tools for the Analysis of Stars and Nebulae
|
Within the framework of the German Astrophysical Virtual Observatory (GAVO),
we provide synthetic spectra, simulation software for the calculation of NLTE
model atmospheres, as well as necessary atomic data. This will enable a VO user
to directly compare observation and model-atmosphere spectra on three levels:
The easiest and fastest way is the use of our pre-calculated flux-table grid in
which one may inter- and extrapolate. For a more precise analysis of an
abservation, the VO user may improve the fit to the observation by the
calculation of individual model atmospheres with fine-tuned photospheric
parameters via the WWW interface TMAW. The more experienced VO user may create
own atomic-data files for a more detailed analysis and calculate model
atmosphere and flux tables with these.
|
astro-ph
|
within the framework of the german astrophysical virtual observatory gavo we provide synthetic spectra simulation software for the calculation of nlte model atmospheres as well as necessary atomic data this will enable a vo user to directly compare observation and modelatmosphere spectra on three levels the easiest and fastest way is the use of our precalculated fluxtable grid in which one may inter and extrapolate for a more precise analysis of an abservation the vo user may improve the fit to the observation by the calculation of individual model atmospheres with finetuned photospheric parameters via the www interface tmaw the more experienced vo user may create own atomicdata files for a more detailed analysis and calculate model atmosphere and flux tables with these
|
[['within', 'the', 'framework', 'of', 'the', 'german', 'astrophysical', 'virtual', 'observatory', 'gavo', 'we', 'provide', 'synthetic', 'spectra', 'simulation', 'software', 'for', 'the', 'calculation', 'of', 'nlte', 'model', 'atmospheres', 'as', 'well', 'as', 'necessary', 'atomic', 'data', 'this', 'will', 'enable', 'a', 'vo', 'user', 'to', 'directly', 'compare', 'observation', 'and', 'modelatmosphere', 'spectra', 'on', 'three', 'levels', 'the', 'easiest', 'and', 'fastest', 'way', 'is', 'the', 'use', 'of', 'our', 'precalculated', 'fluxtable', 'grid', 'in', 'which', 'one', 'may', 'inter', 'and', 'extrapolate', 'for', 'a', 'more', 'precise', 'analysis', 'of', 'an', 'abservation', 'the', 'vo', 'user', 'may', 'improve', 'the', 'fit', 'to', 'the', 'observation', 'by', 'the', 'calculation', 'of', 'individual', 'model', 'atmospheres', 'with', 'finetuned', 'photospheric', 'parameters', 'via', 'the', 'www', 'interface', 'tmaw', 'the', 'more', 'experienced', 'vo', 'user', 'may', 'create', 'own', 'atomicdata', 'files', 'for', 'a', 'more', 'detailed', 'analysis', 'and', 'calculate', 'model', 'atmosphere', 'and', 'flux', 'tables', 'with', 'these']]
|
[-0.024373949126068814, 0.04783484591280285, -0.06215542290204515, 0.1056845634089162, -0.09177826327892641, -0.1371100948463815, 0.09492431460821535, 0.4051733052978913, -0.20188271742857372, -0.4008657525138309, 0.06327551715367008, -0.27897582386697956, -0.06831928480338927, 0.22931544118376526, -0.005235889034277837, 0.008200780185870827, 0.13369809683257092, -0.02619860839889346, -0.0047204064787365494, -0.19506691255567907, 0.2822248914958133, 0.14765543431664507, 0.23867108799361933, 0.047615604966025175, -0.020098806185220988, -0.010257816846327235, -0.1132944350868153, -0.06033794250882541, -0.10830848215458294, 0.14775581213956077, 0.2498329741451016, 0.16168368011713027, 0.18519102355603537, -0.4542445531891038, -0.21995249135264505, 0.01204720460033665, 0.14838077432553595, 0.09058248376920043, -0.019536861073356705, -0.2829955906141549, 0.06078734831147206, -0.20292765049186226, -0.1098916655483966, -0.11031579283298924, -0.02252991745287242, 0.008806798093913434, -0.2907794450138075, -0.06151360481356581, -0.03642660055096106, 0.09959596747842928, -0.10665701437198247, -0.1190462465165183, -0.09113367439907355, 0.2238572576122048, -0.009009704761168299, -0.01774603081673073, 0.13284707114410896, -0.08906754679434623, -0.07091807277562717, 0.4488214588568856, -0.1084904293199846, -0.12189321701104443, 0.20662859324365854, -0.10929843016977732, -0.14275461715878918, 0.11943562643912932, 0.18839595649624244, 0.09508510870703807, -0.19576663597642133, 0.021024939485262923, -0.022517290872444088, 0.19664380919809143, 0.003167950476442153, -0.010371731889123718, 0.2306351449728633, 0.1444407410027149, 0.012937195630123218, 0.08031073554884642, -0.13824311731538425, -0.07663201946027888, -0.24170298783574254, -0.16788017939640365, -0.1293336484620037, 0.0004514361983941247, -0.08893257106283273, -0.18046559523209, 0.4024688322019453, 0.21697785177481516, 0.16630468009777058, 0.026724637807152854, 0.3737887339045604, 0.06380574060895014, 0.06645197327403972, 0.06806755245585615, 0.19714686619505908, 0.06428990640561097, 0.17274903022140886, -0.18350623234873636, 0.0946379861306923, 0.02638727587958177]
|
706.2244
|
The Yule distribution and frailty--a note on spurious preferential
attachment
|
Preferential attachment is a popular generative mechanism to explain the
widespread observation of power law distributed networks. We introduce an
alternative explanation for the phenomenon by allowing the link growth rates to
vary across the nodes according to a randomized Poisson process. The
distribution of rates, which reproduces the degree distribution of a
preferential attachment process (Yule process) is derived analytically. We
demonstrate with use of simulations that the degree distribution and growth
rates in single time intervals are similar for the random process and the
preferential attachment process. Structural differences are analyzed by
examining the joint degree distribution and network coreness.
|
physics.soc-ph
|
preferential attachment is a popular generative mechanism to explain the widespread observation of power law distributed networks we introduce an alternative explanation for the phenomenon by allowing the link growth rates to vary across the nodes according to a randomized poisson process the distribution of rates which reproduces the degree distribution of a preferential attachment process yule process is derived analytically we demonstrate with use of simulations that the degree distribution and growth rates in single time intervals are similar for the random process and the preferential attachment process structural differences are analyzed by examining the joint degree distribution and network coreness
|
[['preferential', 'attachment', 'is', 'a', 'popular', 'generative', 'mechanism', 'to', 'explain', 'the', 'widespread', 'observation', 'of', 'power', 'law', 'distributed', 'networks', 'we', 'introduce', 'an', 'alternative', 'explanation', 'for', 'the', 'phenomenon', 'by', 'allowing', 'the', 'link', 'growth', 'rates', 'to', 'vary', 'across', 'the', 'nodes', 'according', 'to', 'a', 'randomized', 'poisson', 'process', 'the', 'distribution', 'of', 'rates', 'which', 'reproduces', 'the', 'degree', 'distribution', 'of', 'a', 'preferential', 'attachment', 'process', 'yule', 'process', 'is', 'derived', 'analytically', 'we', 'demonstrate', 'with', 'use', 'of', 'simulations', 'that', 'the', 'degree', 'distribution', 'and', 'growth', 'rates', 'in', 'single', 'time', 'intervals', 'are', 'similar', 'for', 'the', 'random', 'process', 'and', 'the', 'preferential', 'attachment', 'process', 'structural', 'differences', 'are', 'analyzed', 'by', 'examining', 'the', 'joint', 'degree', 'distribution', 'and', 'network', 'coreness']]
|
[-0.1012652852234668, 0.10137175865983249, -0.07861334145726527, 0.09151864121084895, -0.052636713163890674, -0.12163495720254586, 0.10375107328097026, 0.42950895639574704, -0.3210305530468331, -0.28490642586942105, 0.011267410448578862, -0.23565153935901345, -0.16330957982470007, 0.1187535342714731, -0.03916843987855257, 0.03666240767594062, 0.01405680671964279, -0.012648392144554094, 0.06963810822515584, -0.23092866774566254, 0.32033438815087006, 0.15661804654148143, 0.38586574913386035, -0.013411560031932359, 0.10147871148393617, 0.020343843838382586, -0.04824899903991643, -0.022024906454473737, -0.16137184137651098, 0.11507140577076842, 0.15415391294906536, 0.1447405555301492, 0.2502750119322217, -0.41435898172066493, -0.2620085916920182, 0.11580176595781072, 0.13548614588730476, 0.10543066903825521, -0.05481366150072027, -0.18921675332867557, 0.083095632539149, -0.1948778818333784, -0.13681906667382768, -0.022625756185209633, 0.02940593346241204, 0.10857191945622474, -0.3204647235974085, 0.13157776657574097, 0.0810072437001794, 0.034930978075363765, 0.009118030760802474, -0.07162745606482905, -0.03362004810889416, 0.1392058591579781, 0.03821187211164501, -0.02894373693704313, 0.15454440343412845, -0.11063017557356872, -0.19195622171950982, 0.3382739043776311, -0.04802315202815568, -0.17845721322830252, 0.18068487908663777, -0.1434879824975688, -0.1418724684820821, 0.12908765845292924, 0.19488108440361662, 0.11182946253115113, -0.18353760252505832, 0.010227788868017824, 0.003154508335808036, 0.11429683115748762, 0.06359257193866606, -0.04026310039825701, 0.17810985301256033, 0.17957636075751746, 0.044847369750998185, 0.138865646801195, -0.09744759527144625, -0.1929076611265248, -0.231877926006621, -0.12431935580988306, -0.206152534956916, 0.03602519186724927, -0.17827702448295324, -0.13818565501566685, 0.4074024274835692, 0.12536705835886738, 0.2935400331602888, 0.13056879027092638, 0.222480795714849, 0.14380883675652975, 0.03667245979658237, 0.0409306436868421, 0.14243394815746477, 0.1289842222114185, 0.08058427228574075, -0.16546944323379328, 0.24828441210967653, 0.01264983915048195]
|
706.2245
|
HST Spectroscopy of the Hottest White Dwarfs
|
Spectral analysis needs the observation of lines of successive ionization
stages in order to evaluate the ionization equilibrium (of a particular
species) which is a sensitive indicator for the effective temperature. Since
stars with effective temperatures as high as 100000 K have their flux maximum
in the extreme ultraviolet (EUV) wavelength range and due to the high degree of
ionization, most of the metal lines are found in the ultraviolet (UV) range.
Thus, high-S/N and high-resolution UV spectra are a pre-requisite for a precise
analysis. Consequently, we employed the Faint Object Spectrograph (FOS), the
Goddard High Resolution Spectrograph (GHRS), and the Space Telescope Imaging
Spectrograph (STIS) aboard the Hubble Space Telescope (HST) in order to obtain
suitable data. We present state-of-the-art analyses of the hottest (pre-) white
dwarfs by means of NLTE model atmospheres which include the metal-line
blanketing of all elements from hydrogen to nickel.
|
astro-ph
|
spectral analysis needs the observation of lines of successive ionization stages in order to evaluate the ionization equilibrium of a particular species which is a sensitive indicator for the effective temperature since stars with effective temperatures as high as 100000 k have their flux maximum in the extreme ultraviolet euv wavelength range and due to the high degree of ionization most of the metal lines are found in the ultraviolet uv range thus highsn and highresolution uv spectra are a prerequisite for a precise analysis consequently we employed the faint object spectrograph fos the goddard high resolution spectrograph ghrs and the space telescope imaging spectrograph stis aboard the hubble space telescope hst in order to obtain suitable data we present stateoftheart analyses of the hottest pre white dwarfs by means of nlte model atmospheres which include the metalline blanketing of all elements from hydrogen to nickel
|
[['spectral', 'analysis', 'needs', 'the', 'observation', 'of', 'lines', 'of', 'successive', 'ionization', 'stages', 'in', 'order', 'to', 'evaluate', 'the', 'ionization', 'equilibrium', 'of', 'a', 'particular', 'species', 'which', 'is', 'a', 'sensitive', 'indicator', 'for', 'the', 'effective', 'temperature', 'since', 'stars', 'with', 'effective', 'temperatures', 'as', 'high', 'as', '100000', 'k', 'have', 'their', 'flux', 'maximum', 'in', 'the', 'extreme', 'ultraviolet', 'euv', 'wavelength', 'range', 'and', 'due', 'to', 'the', 'high', 'degree', 'of', 'ionization', 'most', 'of', 'the', 'metal', 'lines', 'are', 'found', 'in', 'the', 'ultraviolet', 'uv', 'range', 'thus', 'highsn', 'and', 'highresolution', 'uv', 'spectra', 'are', 'a', 'prerequisite', 'for', 'a', 'precise', 'analysis', 'consequently', 'we', 'employed', 'the', 'faint', 'object', 'spectrograph', 'fos', 'the', 'goddard', 'high', 'resolution', 'spectrograph', 'ghrs', 'and', 'the', 'space', 'telescope', 'imaging', 'spectrograph', 'stis', 'aboard', 'the', 'hubble', 'space', 'telescope', 'hst', 'in', 'order', 'to', 'obtain', 'suitable', 'data', 'we', 'present', 'stateoftheart', 'analyses', 'of', 'the', 'hottest', 'pre', 'white', 'dwarfs', 'by', 'means', 'of', 'nlte', 'model', 'atmospheres', 'which', 'include', 'the', 'metalline', 'blanketing', 'of', 'all', 'elements', 'from', 'hydrogen', 'to', 'nickel']]
|
[-0.01730010408389044, 0.13189865322624117, -0.0531058540465693, 0.052018798275353155, -0.07446014696942668, -0.10276673590024449, 0.048990025944140266, 0.4402910248210577, -0.12661645868362553, -0.3896521373702953, 0.07840131759190651, -0.2929794550075974, -0.0311848291527633, 0.20659473374938872, -0.043203946030762504, 0.011867363577587402, 0.1043383831840825, -0.08929574598433858, -0.03199909318059887, -0.23490697707126096, 0.30293066211264863, 0.1460634134869308, 0.1975036615965097, -0.014130328718113573, 0.07054229924598412, -0.0859486241984398, -0.0980929195632112, -0.0030753808323300304, -0.1596284442938456, 0.06097194747656443, 0.2895630542378257, 0.1130741207281523, 0.22298367264080945, -0.3492252848251429, -0.25059984266528323, 0.04745819771858506, 0.16145555235123363, 0.004114132790749714, -0.008192803149353969, -0.24259870154751234, 0.018095929271299136, -0.10813265780000134, -0.14782657665966, -0.009907228875369446, 0.009740877456401717, 0.02648822877122319, -0.2865433565353694, 0.009158413895893816, -0.0677209914572639, 0.15192270552905354, -0.12794306166693314, -0.10704123792366112, -0.08581746274713835, 0.11584191613715805, -0.04749149657635988, 0.008961585941979636, 0.11205354044596626, -0.1503910646141066, 0.0350032717002275, 0.38055516310292936, -0.14483188282959927, 0.06905843462549431, 0.21534409801386398, -0.21563519550047253, -0.12332195544947092, 0.22524383029069636, 0.123549560084939, 0.18970632942214813, -0.16164920094410237, 0.08964267129131133, 0.02564523491230219, 0.19516696334395506, 0.07103831810264351, 0.1372212875946999, 0.25219393452654965, 0.10940323146985052, 0.021778695727060614, 0.05447284137106131, -0.28359268535221993, 0.006719432393254789, -0.23523626049138505, -0.16521842084220636, -0.11186246533179656, 0.05389801220017906, -0.12019991009204715, -0.18093013022197027, 0.3388860915557877, 0.16305222144958, 0.20237434623533324, -0.0264264381512974, 0.35877115593279063, 0.09243474312745392, 0.08977220706124982, 0.01042079927769732, 0.2947819457478719, 0.1806074940896121, 0.16889091634928338, -0.2541193157731083, 0.0317950136289766, 0.06620407404939402]
|
706.2246
|
Effect of Zn substitution on the suppression of Tc of
Y1-xCaxBa2(Cu1-yZny)3O7-delta superconductors: pseudogap and the systematic
shift of the optimum hole content
|
The effect of Zn substitution on the superconducting transition temperature,
Tc, was investigated for the sintered Y1-xCaxBa2(Cu1-yZny)3O7-delta compounds
over a wide range of hole concentration per CuO2 plane, p. Ca substitution
enabled us to study the deeply overdoped region. p was changed by changing the
oxygen deficiency (delta). A strongly p-dependent rate of suppression of Tc
with Zn (dTc/dy) was found. From the analysis of the dTc(p)/dy and Tc(p,y)
data, we found that the optimum hole content, popt, shifts to higher values
with increasing Zn and superconductivity is at its strongest when p = 0.185 +/-
0.005. Various complementary experiments have identified this as the hole
content where the pseudogap vanishes quite abruptly. We have discussed the
possible relevance to these ideas with our findings.
|
cond-mat.supr-con
|
the effect of zn substitution on the superconducting transition temperature tc was investigated for the sintered y1xcaxba2cu1yzny3o7delta compounds over a wide range of hole concentration per cuo2 plane p ca substitution enabled us to study the deeply overdoped region p was changed by changing the oxygen deficiency delta a strongly pdependent rate of suppression of tc with zn dtcdy was found from the analysis of the dtcpdy and tcpy data we found that the optimum hole content popt shifts to higher values with increasing zn and superconductivity is at its strongest when p 0185 0005 various complementary experiments have identified this as the hole content where the pseudogap vanishes quite abruptly we have discussed the possible relevance to these ideas with our findings
|
[['the', 'effect', 'of', 'zn', 'substitution', 'on', 'the', 'superconducting', 'transition', 'temperature', 'tc', 'was', 'investigated', 'for', 'the', 'sintered', 'y1xcaxba2cu1yzny3o7delta', 'compounds', 'over', 'a', 'wide', 'range', 'of', 'hole', 'concentration', 'per', 'cuo2', 'plane', 'p', 'ca', 'substitution', 'enabled', 'us', 'to', 'study', 'the', 'deeply', 'overdoped', 'region', 'p', 'was', 'changed', 'by', 'changing', 'the', 'oxygen', 'deficiency', 'delta', 'a', 'strongly', 'pdependent', 'rate', 'of', 'suppression', 'of', 'tc', 'with', 'zn', 'dtcdy', 'was', 'found', 'from', 'the', 'analysis', 'of', 'the', 'dtcpdy', 'and', 'tcpy', 'data', 'we', 'found', 'that', 'the', 'optimum', 'hole', 'content', 'popt', 'shifts', 'to', 'higher', 'values', 'with', 'increasing', 'zn', 'and', 'superconductivity', 'is', 'at', 'its', 'strongest', 'when', 'p', '0185', '0005', 'various', 'complementary', 'experiments', 'have', 'identified', 'this', 'as', 'the', 'hole', 'content', 'where', 'the', 'pseudogap', 'vanishes', 'quite', 'abruptly', 'we', 'have', 'discussed', 'the', 'possible', 'relevance', 'to', 'these', 'ideas', 'with', 'our', 'findings']]
|
[-0.12245737010962329, 0.17955020618780207, 0.007847343280445784, 0.02365187222021632, -0.017529343041436125, -0.15482634853494043, 0.1654335232723194, 0.35333524252443266, -0.2374378620336453, -0.2903792900654177, 0.0138379057093213, -0.38333665300160646, -0.06191500592200706, 0.16438849919165174, 0.008564628037614359, -0.013443691079131289, -0.07695730228442699, 0.023659989222263297, -0.16477757526105657, -0.29525713468901815, 0.2959698769263923, 0.09328573695383965, 0.32523447946684125, 0.08823983473315214, -0.019128146285462815, -0.027961469577470175, 0.07564910807802032, 0.051479848008602856, -0.19858103167334776, 0.047364017770936094, 0.2990747616160661, 0.03231912569220488, 0.20710566594886284, -0.33313980920550723, -0.2439157606024916, 0.01686351390671916, 0.1424551637940264, 0.08882050794394065, -0.10096152656866858, -0.2560995949742695, 0.11643667984753847, -0.12271531627047808, -0.10768913178665875, -0.02076909284417828, 0.05154649000614882, -0.006948670742470616, -0.2329727967424939, 0.08313322207929257, 0.06868983982906987, 0.11151888462093969, -0.08642771688658589, -0.19554394653144602, -0.10236246610972254, 0.05450932351256294, 0.10726694733602926, 0.09955015139906512, 0.16799226612783968, -0.033007990574697034, -0.03308655359627058, 0.3331717075780034, -0.04264249427166457, -0.03477234682068229, 0.16776045694132335, -0.24840141988437, -0.09909694753878284, 0.2042617439952058, 0.10203702439806268, 0.10761390510791292, -0.10218510111214224, 0.08750545234070159, -0.005198107217438519, 0.223963538184762, 0.08069833702368973, 0.034583901394701876, 0.2178214485029457, 0.17655806478772623, 0.01661729089682922, 0.10650544473901391, -0.12408076583136184, -0.01693670541717438, -0.20264667438265557, -0.14046265504633387, -0.13869188779984445, 0.03503399881786511, -0.09614823904097042, -0.11688604737088705, 0.32132409219630065, 0.14370422003945957, 0.24325565814894315, -0.07611357639543712, 0.15244777392363176, 0.12390289864270017, 0.08571998564293608, 0.012485207405795033, 0.22031581694609487, 0.160618249476344, 0.17291116239406013, -0.29775356919853946, 0.11510607699165121, 0.004641116726755475]
|
706.2247
|
A refinement of Khovanov-Rozansky link homology
|
This paper has been withdrawn by the author due to an error in the proof of
Theorem 1.
|
math.GT math.QA
|
this paper has been withdrawn by the author due to an error in the proof of theorem 1
|
[['this', 'paper', 'has', 'been', 'withdrawn', 'by', 'the', 'author', 'due', 'to', 'an', 'error', 'in', 'the', 'proof', 'of', 'theorem', '1']]
|
[-0.09137122633142604, -0.0333753545540579, -0.14379465166065428, -0.028218396557753697, -0.045740389058159456, -0.06819083934856786, 0.0025127139524556696, 0.26305313035845757, -0.27529351268377567, -0.3565234085544944, 0.13489262885802114, -0.2752506886091497, -0.12623161439680392, 0.13973752864533, -0.32194805962757933, 0.046302767677439585, 0.008061946887109015, -0.016967873089015484, -0.004157032714121872, -0.3309125893801037, 0.3425505736635791, 0.11305893605781926, 0.22636747546494007, 0.2473762184381485, 0.060670403556691274, -0.028295109358926613, -0.10203515220847395, -0.0912943138844437, -0.16352244052622053, 0.12736866012629536, 0.2322983836962117, 0.03261206737564256, 0.45355436040295494, -0.3568071258875231, -0.14051731468902695, 0.14617265259019202, 0.1743123216761483, 0.17917807213962078, -0.07091290886617369, -0.3766303938140886, 0.22509350700096953, -0.28687302323265207, -0.16489171906788316, 0.022156704113715224, 0.09679390210658312, -0.08529091579839587, -0.1496042372762329, 0.0634860496243669, 0.2856124359079533, 0.17786833540432984, 0.01085454256584247, -0.12055907315678066, 0.0884817156733738, 0.12927865309433806, 0.21244916609591907, 0.14943750388920307, -0.04146761085010237, -0.048417863940509655, -0.14101665725724566, 0.316097941973971, 0.04062890659810768, -0.20519686128116316, 0.06131319204966227, -0.029913618565640517, -0.15678606720434296, 0.16034105606377125, 0.15056833712798026, 0.09197564353235066, -0.21079119056877163, 0.1904984605239911, -0.056642120238393545, 0.18362845128609073, 0.16924658997191322, -0.027313354114691418, 0.04925340890056557, 0.14020580860475698, 0.06623703003343609, 0.15961937978863716, -0.03385622861484686, 0.010748974254561795, -0.24952468855513465, -0.21829515654179785, -0.3119742104576694, 0.08509553456678987, 0.09102026466280222, -0.11442111220417751, 0.3851421922445297, 0.16446618490024573, 0.1304802145395014, 0.033826615661382675, 0.31217314551273984, 0.18427989010362783, 0.056505292990348406, 0.011042904729644457, 0.3205543103783081, 0.20826948104271045, 0.1478810559751259, -0.03953314055171278, 0.15803128928463492, 0.22582025179225537]
|
706.2248
|
Anticorrelation between temperature and fluctuations in moderately
damped Josephson junctions
|
We study the influence of dissipation on the switching current statistics of
moderately damped Josephson junctions. Different types of both low- and high-
$T_c$ junctions with controlled damping are studied. The damping parameter of
the junctions is tuned in a wide range by changing temperature, magnetic field,
gate voltage, introducing a ferromagnetic layer or in-situ capacitive shunting.
A paradoxical collapse of switching current fluctuations occurs with increasing
$T$ in all studied junctions. The phenomenon critically depends on dissipation
in the junction and is explained by interplay of two counteracting consequences
of thermal fluctuations, which on the one hand assist in premature switching
into the resistive state and on the other hand help in retrapping back to the
superconducting state. This is one of the rare examples of anticorrelation
between temperature and fluctuation amplitude of a physically measurable
quantity.
|
cond-mat.supr-con
|
we study the influence of dissipation on the switching current statistics of moderately damped josephson junctions different types of both low and high t_c junctions with controlled damping are studied the damping parameter of the junctions is tuned in a wide range by changing temperature magnetic field gate voltage introducing a ferromagnetic layer or insitu capacitive shunting a paradoxical collapse of switching current fluctuations occurs with increasing t in all studied junctions the phenomenon critically depends on dissipation in the junction and is explained by interplay of two counteracting consequences of thermal fluctuations which on the one hand assist in premature switching into the resistive state and on the other hand help in retrapping back to the superconducting state this is one of the rare examples of anticorrelation between temperature and fluctuation amplitude of a physically measurable quantity
|
[['we', 'study', 'the', 'influence', 'of', 'dissipation', 'on', 'the', 'switching', 'current', 'statistics', 'of', 'moderately', 'damped', 'josephson', 'junctions', 'different', 'types', 'of', 'both', 'low', 'and', 'high', 't_c', 'junctions', 'with', 'controlled', 'damping', 'are', 'studied', 'the', 'damping', 'parameter', 'of', 'the', 'junctions', 'is', 'tuned', 'in', 'a', 'wide', 'range', 'by', 'changing', 'temperature', 'magnetic', 'field', 'gate', 'voltage', 'introducing', 'a', 'ferromagnetic', 'layer', 'or', 'insitu', 'capacitive', 'shunting', 'a', 'paradoxical', 'collapse', 'of', 'switching', 'current', 'fluctuations', 'occurs', 'with', 'increasing', 't', 'in', 'all', 'studied', 'junctions', 'the', 'phenomenon', 'critically', 'depends', 'on', 'dissipation', 'in', 'the', 'junction', 'and', 'is', 'explained', 'by', 'interplay', 'of', 'two', 'counteracting', 'consequences', 'of', 'thermal', 'fluctuations', 'which', 'on', 'the', 'one', 'hand', 'assist', 'in', 'premature', 'switching', 'into', 'the', 'resistive', 'state', 'and', 'on', 'the', 'other', 'hand', 'help', 'in', 'retrapping', 'back', 'to', 'the', 'superconducting', 'state', 'this', 'is', 'one', 'of', 'the', 'rare', 'examples', 'of', 'anticorrelation', 'between', 'temperature', 'and', 'fluctuation', 'amplitude', 'of', 'a', 'physically', 'measurable', 'quantity']]
|
[-0.2445364660833139, 0.23717258014189807, -0.009693320928330439, 0.0214512428569108, -0.0452879164620991, -0.17689590592382717, 0.08882902557894155, 0.33354864917371585, -0.25776608594004874, -0.2984371825485774, 0.04255733525623446, -0.2646902509614069, -0.08669194462540411, 0.24634753516369054, -0.002476568806214609, -0.014221298008941221, -0.02467560616956241, -0.024421696348682694, -0.047958433377536254, -0.1628572537759454, 0.3162647800358093, 0.01947993434399562, 0.33454553062852094, 0.08000129700192939, 0.0656500608842496, -0.06357153678866292, 0.06526809476612919, 0.06753837429931846, -0.136650268740925, -0.013872476534216084, 0.20307193306423182, -0.05873161862752792, 0.2378652156007972, -0.5000918787377684, -0.211970343173522, 0.053543367959639945, 0.1285858854509728, 0.11326576274249406, -0.026333041165186012, -0.260170947679359, 0.036177570661664875, -0.13991933837667972, -0.06898388858088225, -0.02297145172116765, 0.03005614197573395, 0.048936524305263185, -0.24351635208164435, 0.10174837240787304, 0.08046008674157919, 0.07485752940123928, -0.027846317416043494, -0.07451539503138822, -0.0583758518450718, 0.06830718286147348, 0.05473761406450438, 0.018238753135201347, 0.2309148375660289, -0.16738799545471894, -0.08293269696962628, 0.25979743766989827, -0.07512673736546539, -0.13823839769716817, 0.19159380895544545, -0.18990479609456615, -0.0503758754061562, 0.1086828216161255, 0.11214701553462478, 0.0769869902279174, -0.14626227216660112, 0.04830443757890717, 0.08764246104123152, 0.1593109958153893, 0.09262048690141166, 0.06276586471105237, 0.2562990626792653, 0.24815077453419782, 0.026541239082597305, 0.15760171810203852, -0.09833143794558187, -0.08662945858162382, -0.2704114531558277, -0.11106909333687762, -0.19099750620417594, 0.07830866284000323, -0.0783027687031553, -0.19180114124226721, 0.4217059892953198, 0.19776185263164234, 0.21455845776000532, -0.059810918100360454, 0.2997344367314076, 0.1685630373413796, 0.06207520885905926, -0.0031683904867943215, 0.25833119051126036, 0.18546684902917215, 0.1345951627076104, -0.3454270950312713, 0.1343950561814658, -0.04093039727709054]
|
706.2249
|
Distributed implementation of standard oracle operators
|
The standard oracle operator corresponding to a function f is a unitary
operator that computes this function coherently, i.e. it maintains
superpositions. This operator acts on a bipartite system, where the subsystems
are the input and output registers. In distributed quantum computation, these
subsystems may be spatially separated, in which case we will be interested in
its classical and entangling capacities. For an arbitrary function f, we show
that the unidirectional classical and entangling capacities of this operator
are log_{2}(n_{f}) bits/ebits, where n_{f} is the number of different values
this function can take. An optimal procedure for bidirectional classical
communication with a standard oracle operator corresponding to a permutation on
Z_{M} is given. The bidirectional classical capacity of such an operator is
found to be 2log_{2}(M) bits. The proofs of these capacities are facilitated by
an optimal distributed protocol for the implementation of an arbitrary standard
oracle operator.
|
quant-ph
|
the standard oracle operator corresponding to a function f is a unitary operator that computes this function coherently ie it maintains superpositions this operator acts on a bipartite system where the subsystems are the input and output registers in distributed quantum computation these subsystems may be spatially separated in which case we will be interested in its classical and entangling capacities for an arbitrary function f we show that the unidirectional classical and entangling capacities of this operator are log_2n_f bitsebits where n_f is the number of different values this function can take an optimal procedure for bidirectional classical communication with a standard oracle operator corresponding to a permutation on z_m is given the bidirectional classical capacity of such an operator is found to be 2log_2m bits the proofs of these capacities are facilitated by an optimal distributed protocol for the implementation of an arbitrary standard oracle operator
|
[['the', 'standard', 'oracle', 'operator', 'corresponding', 'to', 'a', 'function', 'f', 'is', 'a', 'unitary', 'operator', 'that', 'computes', 'this', 'function', 'coherently', 'ie', 'it', 'maintains', 'superpositions', 'this', 'operator', 'acts', 'on', 'a', 'bipartite', 'system', 'where', 'the', 'subsystems', 'are', 'the', 'input', 'and', 'output', 'registers', 'in', 'distributed', 'quantum', 'computation', 'these', 'subsystems', 'may', 'be', 'spatially', 'separated', 'in', 'which', 'case', 'we', 'will', 'be', 'interested', 'in', 'its', 'classical', 'and', 'entangling', 'capacities', 'for', 'an', 'arbitrary', 'function', 'f', 'we', 'show', 'that', 'the', 'unidirectional', 'classical', 'and', 'entangling', 'capacities', 'of', 'this', 'operator', 'are', 'log_2n_f', 'bitsebits', 'where', 'n_f', 'is', 'the', 'number', 'of', 'different', 'values', 'this', 'function', 'can', 'take', 'an', 'optimal', 'procedure', 'for', 'bidirectional', 'classical', 'communication', 'with', 'a', 'standard', 'oracle', 'operator', 'corresponding', 'to', 'a', 'permutation', 'on', 'z_m', 'is', 'given', 'the', 'bidirectional', 'classical', 'capacity', 'of', 'such', 'an', 'operator', 'is', 'found', 'to', 'be', '2log_2m', 'bits', 'the', 'proofs', 'of', 'these', 'capacities', 'are', 'facilitated', 'by', 'an', 'optimal', 'distributed', 'protocol', 'for', 'the', 'implementation', 'of', 'an', 'arbitrary', 'standard', 'oracle', 'operator']]
|
[-0.16967195825257886, 0.15341239329397374, -0.053287873346487, 0.03950638721480259, -0.029080977586322818, -0.19955300955615682, 0.052642656536772844, 0.37697101968244234, -0.32815945783051953, -0.24683301743633787, 0.08851536376931672, -0.2688597085837532, -0.1213615480312628, 0.2015706032225541, -0.11108389337414651, 0.0938112598768604, 0.0417424986765174, 0.09039482842841796, -0.06571188676090718, -0.24899548396853538, 0.3114786709064682, 0.027745742170172262, 0.23486590135103927, 0.01764512670001593, 0.11186251698126053, 0.031193572114189636, 0.03148165757221908, -0.028126784532876876, -0.057082904085761804, 0.09850627023983619, 0.2634904098729121, 0.13962983119718989, 0.27283171572048087, -0.4338793420586093, -0.15423358125804826, 0.15383167819216334, 0.13914088831957558, 0.10152224447048301, 0.015849968591094787, -0.2596328134664559, 0.07687235103020894, -0.16351118954861987, -0.07493430205524482, -0.0485523271406519, 0.01759185717794402, 0.0171277383213927, -0.36593784573006216, 0.024336272288627666, 0.06605865264166917, 0.026066209253822935, -0.006018802572587698, -0.06413358552140537, 0.02388587454976193, 0.144623879043, -0.06324618647581544, 0.07358455775739176, 0.12850593120694676, -0.09302388114276632, -0.14418006202462932, 0.30692242360192123, -0.02213478318800957, -0.2647718591744016, 0.12269760583093839, -0.09381897815278378, -0.07541501891702927, 0.03440043993679614, 0.13892560326975995, 0.13043242376618858, -0.14448541840217236, 0.12591385898413138, -0.08274677828082751, 0.1939892119117852, 0.022369298488222833, 0.09787493095058819, 0.1423662842010501, 0.08104946549082624, 0.13840048985619996, 0.19021279423674248, 0.013387004319971812, -0.1318715356796145, -0.3328269616154761, -0.1994413990720079, -0.23169136405119609, 0.06323084404113992, -0.1368233433761032, -0.17223891432814556, 0.3811426899492227, 0.10862464378025896, 0.18742727427261657, 0.08680318042491401, 0.2990507102860459, 0.1955851524233304, 0.06909736278306307, 0.14503050932724929, 0.1683367187992252, 0.10431902324620249, 0.051519615228833825, -0.2052502762967849, 0.037683493724285526, 0.08945913847921223]
|
706.225
|
Sign lemma for dimension shifting
|
There is a surprising occurrence of some minus signs in the isomorphisms
produced in the well-known technique of dimension shifting in calculating
derived functors in homological algebra. We explicitly determine these signs.
Getting these signs right is important in order to avoid basic contradictions.
We illustrate the lemma by some de Rham cohomology and Chern class
considerations for compact Riemann surfaces.
|
math.AG math.AT
|
there is a surprising occurrence of some minus signs in the isomorphisms produced in the wellknown technique of dimension shifting in calculating derived functors in homological algebra we explicitly determine these signs getting these signs right is important in order to avoid basic contradictions we illustrate the lemma by some de rham cohomology and chern class considerations for compact riemann surfaces
|
[['there', 'is', 'a', 'surprising', 'occurrence', 'of', 'some', 'minus', 'signs', 'in', 'the', 'isomorphisms', 'produced', 'in', 'the', 'wellknown', 'technique', 'of', 'dimension', 'shifting', 'in', 'calculating', 'derived', 'functors', 'in', 'homological', 'algebra', 'we', 'explicitly', 'determine', 'these', 'signs', 'getting', 'these', 'signs', 'right', 'is', 'important', 'in', 'order', 'to', 'avoid', 'basic', 'contradictions', 'we', 'illustrate', 'the', 'lemma', 'by', 'some', 'de', 'rham', 'cohomology', 'and', 'chern', 'class', 'considerations', 'for', 'compact', 'riemann', 'surfaces']]
|
[-0.1878729336513359, 0.06789004434755103, -0.09159895122723012, 0.15050818482948253, -0.12255131821987815, -0.14466838731018247, 0.004954655345559853, 0.32920607391622714, -0.3138299545609072, -0.26126538394171683, 0.11523796003655393, -0.2474195088572861, -0.19310653673820807, 0.17434439096660886, -0.18386277243433918, -0.020857943741024516, -0.004799383047387981, 0.03364715935876135, -0.08602371880570885, -0.26222859188670017, 0.4279046767070645, -0.038533735012666125, 0.2096713077063199, 0.08421729350286979, 0.062496540785507586, -0.02801737515064964, -0.07152160073890061, -0.046887776745697024, -0.15438092785475196, 0.11058683711539222, 0.33300347855223006, 0.04021973843823691, 0.20325140566488759, -0.4249275261994268, -0.10006906889134744, 0.19535820734244388, 0.10342702261920346, 0.06115328179067382, -0.07006128536170868, -0.2732135014700108, 0.114634075232583, -0.13538392177844022, -0.20321605543102153, -0.1121589549374385, 0.06305367670586852, -0.02792143063680803, -0.16519671892289256, 0.031458793799621895, 0.09176108756839282, 0.12618159276784444, -0.0806297865528308, -0.12825861084656637, -0.07028000317819294, 0.10314592907441872, 0.05389999686053298, -0.030107520726799477, 0.08474654786013922, -0.11658445196073564, -0.1523959938766908, 0.3479477410113103, -0.0339341015024416, -0.1993196800229002, 0.1590000733830508, -0.17557883899292495, -0.21342308484170525, 0.1175802084388303, 0.025293391717017673, 0.11672982599464107, -0.001412727595230595, 0.11087266661009186, -0.030296564445693473, 0.05299306764710145, 0.18979346730792132, 0.015665629664894012, 0.1785247503917237, 0.03792171427583108, 0.02918860074285357, 0.12084285133961038, 0.0027633830294257304, -0.08977941112959238, -0.35616308246685774, -0.222941609954492, -0.12892138561020133, 0.08823210243197716, -0.13740065863301604, -0.12902781455853923, 0.39306796696342405, 0.15669520014561103, 0.16595603983666077, 0.06411880269249687, 0.24225742907309142, 0.11337590600424981, 0.09963989091777532, -0.0036427515910052864, 0.17029656893211095, 0.21770907289226402, 0.030184402886289555, -0.13726330924107402, 0.02211518258955635, 0.23215420594530517]
|
706.2251
|
A polaritonic two-component Bose-Hubbard model
|
We show that polaritons in an array of interacting micro-cavities with strong
atom-photon coupling can form a two-component Bose-Hubbard model. Both
polariton species are thereby protected against spontaneous emission as their
atomic part is stored in two ground states of the atoms. The parameters of the
effective model can be tuned via the driving strength of external lasers. We
also describe a method to measure the number statistics in one cavity for each
polariton species independently.
|
quant-ph cond-mat.str-el
|
we show that polaritons in an array of interacting microcavities with strong atomphoton coupling can form a twocomponent bosehubbard model both polariton species are thereby protected against spontaneous emission as their atomic part is stored in two ground states of the atoms the parameters of the effective model can be tuned via the driving strength of external lasers we also describe a method to measure the number statistics in one cavity for each polariton species independently
|
[['we', 'show', 'that', 'polaritons', 'in', 'an', 'array', 'of', 'interacting', 'microcavities', 'with', 'strong', 'atomphoton', 'coupling', 'can', 'form', 'a', 'twocomponent', 'bosehubbard', 'model', 'both', 'polariton', 'species', 'are', 'thereby', 'protected', 'against', 'spontaneous', 'emission', 'as', 'their', 'atomic', 'part', 'is', 'stored', 'in', 'two', 'ground', 'states', 'of', 'the', 'atoms', 'the', 'parameters', 'of', 'the', 'effective', 'model', 'can', 'be', 'tuned', 'via', 'the', 'driving', 'strength', 'of', 'external', 'lasers', 'we', 'also', 'describe', 'a', 'method', 'to', 'measure', 'the', 'number', 'statistics', 'in', 'one', 'cavity', 'for', 'each', 'polariton', 'species', 'independently']]
|
[-0.1526707839956017, 0.2590446783136653, -0.02093608553619369, 0.033817280361147006, 0.015199675200212943, -0.18844791086341597, 0.04025968242020003, 0.4344276043243314, -0.23992084971580066, -0.29484954928538126, -0.01276630936895105, -0.27250545065065745, -0.08428636006398224, 0.19692830918479318, 0.06104531629305137, 0.01008425262070408, 0.011004609861533697, -0.026033927588478514, 0.061064251015379434, -0.19485960911506003, 0.28765319828189123, 0.0009115288496679185, 0.3222358043268813, 0.06767784930324476, 0.0780665539143803, -0.03546616228566946, 0.11705165697065623, -0.039433267676749414, -0.06726809686992247, 0.11395613283859443, 0.2173783567390944, 0.027526836560450886, 0.24557410084372877, -0.45966347186875184, -0.2186507277533804, 0.09890940575860441, 0.20681498819153363, 0.23361322380553343, -0.03210429164679035, -0.3483389834260666, -0.04806682534858977, -0.1851162782423719, -0.17391527548898011, -0.0840718089970515, -0.01881571868312006, 0.05462297963860788, -0.26970074869888394, 0.001750071711476745, 0.017704174478575096, 0.047567681580978, -0.07857715505738988, -0.008213656280483855, -0.06851837350251644, 0.10134020201420706, -0.025322776232650012, -0.014842796454965872, 0.17157090108498538, -0.17210523317733437, -0.11011116297940086, 0.3637190089364977, -0.17439706433613442, -0.19644336055621112, 0.22025343813737364, -0.11057014210688833, -0.051830028900631556, 0.13294373986948477, 0.16018989997131652, 0.059870147372988104, -0.12484904433796673, 0.04972559601485141, -0.059345204530185776, 0.21575704716930263, 0.04110126133922389, 0.12012140517196569, 0.2704119729613395, 0.15159654721470647, 0.03239112574067947, 0.22244730835480273, -0.07475400353953439, -0.08761817284884225, -0.25579267823578494, -0.12274387293789339, -0.23393702722387388, 0.003158025308757236, -0.06221572532146973, -0.13662462274384635, 0.42648031722791, 0.13203972097835504, 0.1727245380293186, -0.031621822404160504, 0.2961147848002024, 0.15086278522013394, 0.06121573485525962, 0.00749049953791607, 0.2827390877554487, 0.1438038334997959, 0.0014228109319351222, -0.29096558814451684, 0.022604342887031014, 0.041966682649217546]
|
706.2252
|
Time and M-theory
|
We review our recent proposal for a background independent formulation of a
holographic theory of quantum gravity. The present review incorporates the
necessary background material on geometry of canonical quantum theory,
holography and spacetime thermodynamics, Matrix theory, as well as our specific
proposal for a dynamical theory of geometric quantum mechanics, as applied to
Matrix theory. At the heart of this review is a new analysis of the conceptual
problem of time and the closely related and phenomenologically relevant problem
of vacuum energy in quantum gravity. We also present a discussion of some
observational implications of this new viewpoint on the problem of vacuum
energy.
|
hep-th
|
we review our recent proposal for a background independent formulation of a holographic theory of quantum gravity the present review incorporates the necessary background material on geometry of canonical quantum theory holography and spacetime thermodynamics matrix theory as well as our specific proposal for a dynamical theory of geometric quantum mechanics as applied to matrix theory at the heart of this review is a new analysis of the conceptual problem of time and the closely related and phenomenologically relevant problem of vacuum energy in quantum gravity we also present a discussion of some observational implications of this new viewpoint on the problem of vacuum energy
|
[['we', 'review', 'our', 'recent', 'proposal', 'for', 'a', 'background', 'independent', 'formulation', 'of', 'a', 'holographic', 'theory', 'of', 'quantum', 'gravity', 'the', 'present', 'review', 'incorporates', 'the', 'necessary', 'background', 'material', 'on', 'geometry', 'of', 'canonical', 'quantum', 'theory', 'holography', 'and', 'spacetime', 'thermodynamics', 'matrix', 'theory', 'as', 'well', 'as', 'our', 'specific', 'proposal', 'for', 'a', 'dynamical', 'theory', 'of', 'geometric', 'quantum', 'mechanics', 'as', 'applied', 'to', 'matrix', 'theory', 'at', 'the', 'heart', 'of', 'this', 'review', 'is', 'a', 'new', 'analysis', 'of', 'the', 'conceptual', 'problem', 'of', 'time', 'and', 'the', 'closely', 'related', 'and', 'phenomenologically', 'relevant', 'problem', 'of', 'vacuum', 'energy', 'in', 'quantum', 'gravity', 'we', 'also', 'present', 'a', 'discussion', 'of', 'some', 'observational', 'implications', 'of', 'this', 'new', 'viewpoint', 'on', 'the', 'problem', 'of', 'vacuum', 'energy']]
|
[-0.07683410726132847, 0.11461498590762771, -0.12634726354417147, 0.07713028262923693, -0.06756190269121103, -0.12351230321828985, 0.01603328188371268, 0.25411882666604857, -0.23456863901090055, -0.2866308223633539, 0.08981586424966476, -0.2284776419223774, -0.21873399444988795, 0.1951015144586563, -0.10112022613840443, 0.08694009364449552, 0.006607937418101799, 0.06063199545301142, -0.09843182919458264, -0.20347281006563986, 0.3514060732198968, 0.10045521907242282, 0.2897867915580892, 0.10849479242294495, 0.13924403542741423, 0.02351971737197822, -0.0524993904600186, 0.053438995725342206, -0.1745994184543157, 0.14842828600778288, 0.24518440988446985, 0.16277499679923668, 0.24425133428580703, -0.45454670597045194, -0.27533700589445376, 0.0034934537795682746, 0.05387422938254618, 0.19610632625186727, -0.09156184955056579, -0.2671862139588311, 0.025700123849674128, -0.17041586131921838, -0.15245541912459193, -0.0717696264386177, -0.011626041999885013, -0.0971198706222432, -0.17279668970565712, 0.09792562157020993, 0.028697614571068526, 0.03267312558212628, -0.06553991585082951, -0.08823411035395803, 0.08125606388341458, 0.07690617740154267, 0.06820355336891398, 0.04289304028664317, 0.12176142578855867, -0.14876188420734945, -0.14465224947336883, 0.40807835622912364, -0.03579317185296012, -0.17428193447135742, 0.1532088491622181, -0.0985186683634917, -0.18834832335511845, 0.013723006480861277, 0.15230126489131224, 0.16566247825643846, -0.1371012606125857, 0.14651277797751217, -0.032537683755868956, 0.11815412786811413, 0.0007062686341149467, 0.10260072583776145, 0.28112409553889717, 0.1667508864963782, 0.013497728969724405, 0.1445251428034334, -0.013963539468213207, -0.17881558919768958, -0.4351924635115124, -0.1781528690829873, -0.17913270119932437, 0.09993959084441442, -0.10886732930985524, -0.19043115357358364, 0.41098437350065936, 0.17769507703473902, 0.15385322594749076, 0.013544998741486953, 0.27698194952238175, 0.08585166152721892, -0.030368429145199202, -0.023034553526945056, 0.24067909276428898, 0.20739831353892527, 0.12684269369624201, -0.23876458122616723, -0.05404547609366654, 0.10402532784002168]
|
706.2253
|
A note on fermions in holographic QCD
|
We study the fermionic sector of a probe D8-brane in the supergravity
background made of D4-branes compactified on a circle with supersymmetry broken
explicitly by the boundary conditions. At low energies the dual field theory is
effectively four-dimensional and has proved surprisingly successful in
recovering qualitative and quantitative properties of QCD. We investigate
fluctuations of the fermionic fields on the probe D8-brane and interpret these
as mesinos (fermionic superpartners of mesons). We demonstrate that the masses
of these modes are comparable to meson masses and show that their interactions
with ordinary mesons are not suppressed.
|
hep-th
|
we study the fermionic sector of a probe d8brane in the supergravity background made of d4branes compactified on a circle with supersymmetry broken explicitly by the boundary conditions at low energies the dual field theory is effectively fourdimensional and has proved surprisingly successful in recovering qualitative and quantitative properties of qcd we investigate fluctuations of the fermionic fields on the probe d8brane and interpret these as mesinos fermionic superpartners of mesons we demonstrate that the masses of these modes are comparable to meson masses and show that their interactions with ordinary mesons are not suppressed
|
[['we', 'study', 'the', 'fermionic', 'sector', 'of', 'a', 'probe', 'd8brane', 'in', 'the', 'supergravity', 'background', 'made', 'of', 'd4branes', 'compactified', 'on', 'a', 'circle', 'with', 'supersymmetry', 'broken', 'explicitly', 'by', 'the', 'boundary', 'conditions', 'at', 'low', 'energies', 'the', 'dual', 'field', 'theory', 'is', 'effectively', 'fourdimensional', 'and', 'has', 'proved', 'surprisingly', 'successful', 'in', 'recovering', 'qualitative', 'and', 'quantitative', 'properties', 'of', 'qcd', 'we', 'investigate', 'fluctuations', 'of', 'the', 'fermionic', 'fields', 'on', 'the', 'probe', 'd8brane', 'and', 'interpret', 'these', 'as', 'mesinos', 'fermionic', 'superpartners', 'of', 'mesons', 'we', 'demonstrate', 'that', 'the', 'masses', 'of', 'these', 'modes', 'are', 'comparable', 'to', 'meson', 'masses', 'and', 'show', 'that', 'their', 'interactions', 'with', 'ordinary', 'mesons', 'are', 'not', 'suppressed']]
|
[-0.12836486712950182, 0.2498045664694299, -0.0816777263442302, 0.13642804500612213, -0.04079828355857666, -0.13289135801506805, -0.0071585861076799, 0.3416724468289102, -0.16076034570528946, -0.2639888627652792, 0.06335609612065031, -0.3021406555013295, -0.08459021629607107, 0.10029664071910876, -0.008775949943810701, 0.02621894896505995, 0.004790342878550291, 0.06158262326758593, -0.07643971714919354, -0.2632167964896306, 0.34191280426556603, -0.012793289435571654, 0.23428767091257774, 0.1193682665520526, 0.07653021382321505, -0.018859926778377292, -0.0020195641158584584, -0.007441934302171811, -0.11223335153292592, 0.08866403232442532, 0.20980289410007127, 0.0328610584169547, 0.08963075942023004, -0.4428002951032621, -0.20040132097424346, 0.10211296273553942, 0.17707868501174936, 0.14177429339689937, -0.03543844856965812, -0.31671409475359513, 0.06881266414247295, -0.11218570580983415, -0.17588141244003905, -0.16443006621743056, -0.040950641441010335, -0.06825662364915727, -0.253104733090174, 0.07333329109910955, -0.034464697699072434, 0.05801895985062769, -0.060842404117872145, -0.1040851354916045, -0.10132661389999409, 0.0432541264131903, 0.14835148917738983, 0.0325649243982588, 0.14182928361573277, -0.21612392446680112, -0.12416455040232556, 0.3915983707188292, -0.09541290672248269, -0.17976497776528938, 0.20847034955674665, -0.17092139268432685, -0.14508567047008175, 0.10189918208213404, 0.1538752048137657, 0.1273381428971411, -0.12882644942704033, 0.16949752816327282, -0.060874188988855944, 0.16355141045704008, 0.07977413204795819, 0.10460600381880562, 0.29177391376504874, 0.1226487591245925, 0.0036656168095044236, 0.11161012300092013, -0.01285943444669643, -0.09007245848609254, -0.35400063042192065, -0.11544910774744571, -0.13039145088615886, 0.07004803333179456, -0.09983411126589264, -0.12825381212887613, 0.39915905280553915, 0.13001168103135646, 0.22396909646650262, 0.04485309764029498, 0.250549201041143, 0.07744382189938481, 0.07475784905205303, 0.03618310149164593, 0.3215194858135061, 0.18871184444287792, 0.0762023018237124, -0.2791203522380996, -0.1304577517600611, 0.10814548737587447]
|
706.2254
|
Dynamics of cluster deposition on Ar surface
|
Using a combined quantum mechanical/classical method, we study the dynamics
of deposition of small Na clusters on Ar(001) surface. We work out basic
mechanisms by systematic variation of substrate activity, impact energy,
cluster orientations, cluster sizes, and charges. The soft Ar material is found
to serve as an extremely efficient shock absorber which provides cluster
capture in a broad range of impact energies. Reflection is only observed in
combination with destruction of the substrate. The kinetic energy of the
impinging cluster is rapidly transfered at first impact. The distribution of
the collision energy over the substrate proceeds very fast with velocity of
sound. The full thermalization of ionic and atomic energies goes at a much
slower pace with times of several ps. Charged clusters are found to have a much
stronger interface interaction and thus get in significantly closer contact
with the surface.
|
cond-mat.other
|
using a combined quantum mechanicalclassical method we study the dynamics of deposition of small na clusters on ar001 surface we work out basic mechanisms by systematic variation of substrate activity impact energy cluster orientations cluster sizes and charges the soft ar material is found to serve as an extremely efficient shock absorber which provides cluster capture in a broad range of impact energies reflection is only observed in combination with destruction of the substrate the kinetic energy of the impinging cluster is rapidly transfered at first impact the distribution of the collision energy over the substrate proceeds very fast with velocity of sound the full thermalization of ionic and atomic energies goes at a much slower pace with times of several ps charged clusters are found to have a much stronger interface interaction and thus get in significantly closer contact with the surface
|
[['using', 'a', 'combined', 'quantum', 'mechanicalclassical', 'method', 'we', 'study', 'the', 'dynamics', 'of', 'deposition', 'of', 'small', 'na', 'clusters', 'on', 'ar001', 'surface', 'we', 'work', 'out', 'basic', 'mechanisms', 'by', 'systematic', 'variation', 'of', 'substrate', 'activity', 'impact', 'energy', 'cluster', 'orientations', 'cluster', 'sizes', 'and', 'charges', 'the', 'soft', 'ar', 'material', 'is', 'found', 'to', 'serve', 'as', 'an', 'extremely', 'efficient', 'shock', 'absorber', 'which', 'provides', 'cluster', 'capture', 'in', 'a', 'broad', 'range', 'of', 'impact', 'energies', 'reflection', 'is', 'only', 'observed', 'in', 'combination', 'with', 'destruction', 'of', 'the', 'substrate', 'the', 'kinetic', 'energy', 'of', 'the', 'impinging', 'cluster', 'is', 'rapidly', 'transfered', 'at', 'first', 'impact', 'the', 'distribution', 'of', 'the', 'collision', 'energy', 'over', 'the', 'substrate', 'proceeds', 'very', 'fast', 'with', 'velocity', 'of', 'sound', 'the', 'full', 'thermalization', 'of', 'ionic', 'and', 'atomic', 'energies', 'goes', 'at', 'a', 'much', 'slower', 'pace', 'with', 'times', 'of', 'several', 'ps', 'charged', 'clusters', 'are', 'found', 'to', 'have', 'a', 'much', 'stronger', 'interface', 'interaction', 'and', 'thus', 'get', 'in', 'significantly', 'closer', 'contact', 'with', 'the', 'surface']]
|
[-0.08842442418378121, 0.171952977360978, -0.08871607488008137, 0.04588598960889241, -0.01794408645782567, -0.1140990554302616, 0.05146113645390306, 0.4154481704438656, -0.24618694302298025, -0.35034998224287384, 0.0046562654315494, -0.2599678652682407, -0.03180847299927977, 0.18440631257278295, 0.04163112455624825, -0.00889256115819157, 0.054684598402211994, 0.011305938074758775, -0.055031006022776205, -0.2010063282673208, 0.28314466530647336, 0.1493107072056376, 0.26371454450131304, 0.09243215879910743, 0.06759346298165095, -0.011638560698000374, 0.002927953977478852, 0.027662143124346162, -0.12920448240909305, 0.09442060381177367, 0.18248039450452164, 0.025990253629189143, 0.2494860138403068, -0.46480576724181294, -0.22181883845871814, 0.01837944655193829, 0.14607423526344782, 0.12992094848022148, -0.08332327539248811, -0.2348195340313857, 0.05226205794704737, -0.17314761320725872, -0.1501484565899222, 0.0075052945192536, 0.05596105455958717, 0.0625610003300326, -0.2121946265409425, 0.1054381169220941, 0.01238365988509441, 0.06462186133295533, -0.07018858116959602, -0.10959681917414804, -0.07346344043330198, 0.08325264650121542, 0.05621260039272233, 0.029840976760630876, 0.22629993371944218, -0.11382014629542565, -0.014607781073747491, 0.3960996328125065, -0.039811130901667435, -0.1073551544080108, 0.25776521089112936, -0.1642831353975696, -0.0744357618722986, 0.2318005650501016, 0.1809287388140047, 0.11310067658745487, -0.13286161946106545, 0.028823696298632955, 0.025098191620126158, 0.19757959205972056, 0.08084387317116201, 0.04162775283075974, 0.22644895015113894, 0.2095945570519535, 0.06940870205576623, 0.13560100111939852, -0.14824648201957502, -0.06846715336252318, -0.2348145641989901, -0.14739386673400204, -0.15138560702079829, 0.04574822887620875, -0.0859615165662573, -0.15181129716310493, 0.3590588287096208, 0.10392973232935641, 0.22865026554360848, 0.013636687107246474, 0.25714769091089845, 0.09993829573221787, 0.08260208931194067, 0.06263658548311764, 0.2526945850703682, 0.14165680205062503, 0.11608583787636517, -0.2347508408588318, 0.08489383054687313, 0.006664871202099701]
|
706.2255
|
The magnetic field topology in the reconnecting pulsar magnetosphere
|
We show that toroidal magnetic field annihilation in the equatorial current
sheet of the pulsar magnetosphere is related to how fast poloidal magnetic
field lines close as we move away from the light cylinder. This determines the
reconnection radial electric field which directly accelerates particles in the
neutral layer inside the equatorial current sheet. The efficiency of poloidal
magnetic field closure near the light cylinder may be measurable through the
pulsar braking index. We argue that, the lower the efficiency of pair
formation, the higher the braking index. We also argue that synchrotron
radiation reaction in the neutral layer does not inhibit the accelerated
particles from reaching the maximum energy of about 10^16 eV available in the
open pulsar magnetosphere.
|
astro-ph
|
we show that toroidal magnetic field annihilation in the equatorial current sheet of the pulsar magnetosphere is related to how fast poloidal magnetic field lines close as we move away from the light cylinder this determines the reconnection radial electric field which directly accelerates particles in the neutral layer inside the equatorial current sheet the efficiency of poloidal magnetic field closure near the light cylinder may be measurable through the pulsar braking index we argue that the lower the efficiency of pair formation the higher the braking index we also argue that synchrotron radiation reaction in the neutral layer does not inhibit the accelerated particles from reaching the maximum energy of about 1016 ev available in the open pulsar magnetosphere
|
[['we', 'show', 'that', 'toroidal', 'magnetic', 'field', 'annihilation', 'in', 'the', 'equatorial', 'current', 'sheet', 'of', 'the', 'pulsar', 'magnetosphere', 'is', 'related', 'to', 'how', 'fast', 'poloidal', 'magnetic', 'field', 'lines', 'close', 'as', 'we', 'move', 'away', 'from', 'the', 'light', 'cylinder', 'this', 'determines', 'the', 'reconnection', 'radial', 'electric', 'field', 'which', 'directly', 'accelerates', 'particles', 'in', 'the', 'neutral', 'layer', 'inside', 'the', 'equatorial', 'current', 'sheet', 'the', 'efficiency', 'of', 'poloidal', 'magnetic', 'field', 'closure', 'near', 'the', 'light', 'cylinder', 'may', 'be', 'measurable', 'through', 'the', 'pulsar', 'braking', 'index', 'we', 'argue', 'that', 'the', 'lower', 'the', 'efficiency', 'of', 'pair', 'formation', 'the', 'higher', 'the', 'braking', 'index', 'we', 'also', 'argue', 'that', 'synchrotron', 'radiation', 'reaction', 'in', 'the', 'neutral', 'layer', 'does', 'not', 'inhibit', 'the', 'accelerated', 'particles', 'from', 'reaching', 'the', 'maximum', 'energy', 'of', 'about', '1016', 'ev', 'available', 'in', 'the', 'open', 'pulsar', 'magnetosphere']]
|
[-0.142976057632283, 0.2505840830815335, 0.01660700181746506, 0.08457855134038254, -0.10919981630092176, -0.045998068836828075, 0.024518197875780363, 0.38617825613667567, -0.27450096582372985, -0.31181594137257584, 0.015104328472322475, -0.22304488273027043, -0.011289790164058407, 0.21992913528423136, -0.019427547126542776, -0.07180440027732402, 0.051948363514384255, 0.0359723767110457, -0.0047717594250570984, -0.14369808070732687, 0.28375636705119783, 0.1027571013274913, 0.25639607608318327, 0.09617821066058241, 0.03661544743226841, -0.06253677195054479, 0.06595280634161706, 0.012814102155001212, -0.12282993605761779, 0.07770960675552488, 0.11556603831898732, 0.09803364412315811, 0.1634867822380329, -0.5091667137263963, -0.19868006686059136, 0.03372419398122777, 0.19700072474758296, 0.05302017892342216, -0.05847573876671959, -0.21893892519486446, 0.05458711845179399, -0.18537093807438698, -0.19879608039433758, 0.04776014286714295, 0.018795353659273435, 0.05759765616288253, -0.24746641905124608, 0.0727741177395122, 0.08542318677452082, 0.04079962078443108, -0.1446196100890423, -0.06317037893847252, -0.07599670961499214, 0.039289690530858935, 0.1410466004842116, 0.12458978780123289, 0.27723585679583873, -0.18205539955718752, -0.07293408576806541, 0.32905373292354245, -0.09826390659436583, -0.12108965245230745, 0.12382254905144995, -0.28789305411434424, -0.06613841298191497, 0.22243939153073977, 0.16750419953217108, 0.10544667271121094, -0.08204098915836464, 0.06856753740770122, -0.04545394848100841, 0.15029081846684372, 0.09224032615311444, -0.04694952146965079, 0.3651328761285792, 0.10420847666052092, 0.07758353205087284, 0.13515376579744043, -0.20270574532138805, -0.05835059978999198, -0.2818331634470572, -0.14590228468490143, -0.13411900200881063, 0.09967924687480263, -0.10427083332130375, -0.16877809605581812, 0.38812285012875997, 0.19471937159250957, 0.1281993028164531, -0.07515128454251681, 0.34492460858697693, 0.146355202474903, 0.06538724201188112, 0.2107790173147805, 0.37872852668321383, 0.16499096916910883, 0.17729834935550268, -0.2723217086090396, 0.02075633549441894, 0.022339616832323373]
|
706.2256
|
High-resolution FUSE and HST ultraviolet spectroscopy of the white dwarf
central star of Sh 2-216
|
LS V +4621 is the DAO-type central star of the planetary nebula Sh 2-216. We
perform a comprehensive spectral analysis of high-resolution, high-S/N
ultraviolet observations obtained with FUSE and STIS aboard the HST as well as
the optical spectrum of LS V +4621 by means of state-of-the-art NLTE
model-atmosphere techniques in order to compare its photospheric properties to
theoretical predictions from stellar evolution theory as well as from diffusion
calculations.
From the N IV - NV, O IV - O VI, Si IV - Si V, and Fe V - Fe VII ionization
equilibria, we determined an effective temperature of 95 +/- 2 kK with high
precision. The surface gravity is log g = 6.9 +/- 0.2. An unexplained
discrepancy appears between the spectroscopic distance d = 224 +46/-58 pc and
the parallax distance d = 129 +6/-5 pc of LS V +4621. For the first time, we
have identified Mg IV and Ar VI absorption lines in the spectrum of a
hydrogen-rich central star and determined the Mg and Ar abundances as well as
the individual abundances of iron-group elements (Cr, Mn, Fe, Co, and Ni). With
the realistic treatment of metal opacities up to the iron group in the
model-atmosphere calculations, the so-called Balmer-line problem (found in
models that neglect metal-line blanketing) vanishes.
Spectral analysis by means of NLTE model atmospheres has presently arrived at
a high level of sophistication, which is now hampered largely by the lack of
reliable atomic data and accurate line-broadening tables. Strong efforts should
be made to improve upon this situation.
|
astro-ph
|
ls v 4621 is the daotype central star of the planetary nebula sh 2216 we perform a comprehensive spectral analysis of highresolution highsn ultraviolet observations obtained with fuse and stis aboard the hst as well as the optical spectrum of ls v 4621 by means of stateoftheart nlte modelatmosphere techniques in order to compare its photospheric properties to theoretical predictions from stellar evolution theory as well as from diffusion calculations from the n iv nv o iv o vi si iv si v and fe v fe vii ionization equilibria we determined an effective temperature of 95 2 kk with high precision the surface gravity is log g 69 02 an unexplained discrepancy appears between the spectroscopic distance d 224 4658 pc and the parallax distance d 129 65 pc of ls v 4621 for the first time we have identified mg iv and ar vi absorption lines in the spectrum of a hydrogenrich central star and determined the mg and ar abundances as well as the individual abundances of irongroup elements cr mn fe co and ni with the realistic treatment of metal opacities up to the iron group in the modelatmosphere calculations the socalled balmerline problem found in models that neglect metalline blanketing vanishes spectral analysis by means of nlte model atmospheres has presently arrived at a high level of sophistication which is now hampered largely by the lack of reliable atomic data and accurate linebroadening tables strong efforts should be made to improve upon this situation
|
[['ls', 'v', '4621', 'is', 'the', 'daotype', 'central', 'star', 'of', 'the', 'planetary', 'nebula', 'sh', '2216', 'we', 'perform', 'a', 'comprehensive', 'spectral', 'analysis', 'of', 'highresolution', 'highsn', 'ultraviolet', 'observations', 'obtained', 'with', 'fuse', 'and', 'stis', 'aboard', 'the', 'hst', 'as', 'well', 'as', 'the', 'optical', 'spectrum', 'of', 'ls', 'v', '4621', 'by', 'means', 'of', 'stateoftheart', 'nlte', 'modelatmosphere', 'techniques', 'in', 'order', 'to', 'compare', 'its', 'photospheric', 'properties', 'to', 'theoretical', 'predictions', 'from', 'stellar', 'evolution', 'theory', 'as', 'well', 'as', 'from', 'diffusion', 'calculations', 'from', 'the', 'n', 'iv', 'nv', 'o', 'iv', 'o', 'vi', 'si', 'iv', 'si', 'v', 'and', 'fe', 'v', 'fe', 'vii', 'ionization', 'equilibria', 'we', 'determined', 'an', 'effective', 'temperature', 'of', '95', '2', 'kk', 'with', 'high', 'precision', 'the', 'surface', 'gravity', 'is', 'log', 'g', '69', '02', 'an', 'unexplained', 'discrepancy', 'appears', 'between', 'the', 'spectroscopic', 'distance', 'd', '224', '4658', 'pc', 'and', 'the', 'parallax', 'distance', 'd', '129', '65', 'pc', 'of', 'ls', 'v', '4621', 'for', 'the', 'first', 'time', 'we', 'have', 'identified', 'mg', 'iv', 'and', 'ar', 'vi', 'absorption', 'lines', 'in', 'the', 'spectrum', 'of', 'a', 'hydrogenrich', 'central', 'star', 'and', 'determined', 'the', 'mg', 'and', 'ar', 'abundances', 'as', 'well', 'as', 'the', 'individual', 'abundances', 'of', 'irongroup', 'elements', 'cr', 'mn', 'fe', 'co', 'and', 'ni', 'with', 'the', 'realistic', 'treatment', 'of', 'metal', 'opacities', 'up', 'to', 'the', 'iron', 'group', 'in', 'the', 'modelatmosphere', 'calculations', 'the', 'socalled', 'balmerline', 'problem', 'found', 'in', 'models', 'that', 'neglect', 'metalline', 'blanketing', 'vanishes', 'spectral', 'analysis', 'by', 'means', 'of', 'nlte', 'model', 'atmospheres', 'has', 'presently', 'arrived', 'at', 'a', 'high', 'level', 'of', 'sophistication', 'which', 'is', 'now', 'hampered', 'largely', 'by', 'the', 'lack', 'of', 'reliable', 'atomic', 'data', 'and', 'accurate', 'linebroadening', 'tables', 'strong', 'efforts', 'should', 'be', 'made', 'to', 'improve', 'upon', 'this', 'situation']]
|
[-0.012070741513114979, 0.057391108156509524, 0.02011558250899637, 0.0493601426283168, -0.022751465787164745, -0.15677751538506499, 0.08503692515190661, 0.43418617269414805, -0.19593097639059828, -0.3719932526995939, 0.016641277980412386, -0.3298558102180851, -0.0071001385879372395, 0.13981932465873298, -0.01911104264159334, -0.023173102396192975, 0.07062671841859194, -0.05794600080773835, -0.08746652728821631, -0.21453650808055705, 0.25848339382284924, 0.0940596793229962, 0.1649693355580131, 0.011903092511103398, -0.013220664034428585, -0.08782459965216056, -0.06646612758049741, 0.039105818724267244, -0.14990357787648403, 0.09850442351084747, 0.24246299251296566, 0.13363104534519446, 0.1851947871731564, -0.3655001242089296, -0.23114138076691174, -0.004063473320134255, 0.15762671293510544, 0.04705978631494462, -0.015128831210125598, -0.2532659788928633, 0.05374553634300678, -0.16072379786431068, -0.1555945681231547, 0.022930268010661108, 0.09128246094933862, 0.018523118559612833, -0.2459475741056996, 0.06150391804758035, 0.01269152089286851, 0.1764865374523417, -0.09231006144968447, -0.1945681073328512, -0.12002034832802301, 0.06446122179641539, -0.03616465468874066, 0.023410450222253267, 0.12347847762101728, -0.06915890803042378, -0.019091385944310816, 0.41848082481432824, -0.1632617868576011, 0.029197727286138557, 0.19802157364169798, -0.16324963444100332, -0.1370757377712101, 0.19153789127144152, 0.08048270836098387, 0.14793071423604665, -0.13883035262716154, 0.11630461857402546, 0.019397326058101644, 0.2054722375375399, 0.01453083754336882, 0.054686940037607844, 0.21702894503851572, 0.0936388985757085, -0.007849190695842187, -0.018962908591821623, -0.24506727701068046, 0.01590347606801398, -0.23967632440279327, -0.15434070836583427, -0.12188986735136789, 0.09791554875799545, -0.1223693575344852, -0.1526789432720116, 0.3073432920801063, 0.11111457822018213, 0.2211368523388838, -0.04286432416026195, 0.27631444794373705, 0.10447701638857383, 0.034535448790730665, 0.08405506349686954, 0.2812206052856768, 0.23794431483298878, 0.13346613644933958, -0.28479185423883235, 0.08806096653889624, 0.07136229777261766]
|
706.2257
|
Algebraic K-theory and cubical descent
|
In this note we apply Guillen-Navarro descent theorem, \cite{GN02}, to define
a descent variant of the algebraic $K$-theory of varieties over a field of
characteristic zero, $\mathcal{KD}(X)$, which coincides with $\mathcal{K}(X)$
for smooth varieties. After a result of Haesemeyer, this new theory is
equivalent to the homotopy algebraic $K$-theory introduced by Weibel. We also
prove that there is a natural weight filtration on the groups $KH_\ast(X)$.
|
math.AG
|
in this note we apply guillennavarro descent theorem citegn02 to define a descent variant of the algebraic ktheory of varieties over a field of characteristic zero mathcalkdx which coincides with mathcalkx for smooth varieties after a result of haesemeyer this new theory is equivalent to the homotopy algebraic ktheory introduced by weibel we also prove that there is a natural weight filtration on the groups kh_astx
|
[['in', 'this', 'note', 'we', 'apply', 'guillennavarro', 'descent', 'theorem', 'citegn02', 'to', 'define', 'a', 'descent', 'variant', 'of', 'the', 'algebraic', 'ktheory', 'of', 'varieties', 'over', 'a', 'field', 'of', 'characteristic', 'zero', 'mathcalkdx', 'which', 'coincides', 'with', 'mathcalkx', 'for', 'smooth', 'varieties', 'after', 'a', 'result', 'of', 'haesemeyer', 'this', 'new', 'theory', 'is', 'equivalent', 'to', 'the', 'homotopy', 'algebraic', 'ktheory', 'introduced', 'by', 'weibel', 'we', 'also', 'prove', 'that', 'there', 'is', 'a', 'natural', 'weight', 'filtration', 'on', 'the', 'groups', 'kh_astx']]
|
[-0.16768513118938333, 0.05304438467588155, -0.1796437112638922, 0.10373636217968117, -0.07497940768277453, -0.14109822320601634, -0.007623490210877912, 0.3145212589672977, -0.3858379130702346, -0.15227648638369096, 0.06613827620505265, -0.15896900351377083, -0.18408996796595953, 0.22920648315020145, -0.24917496662707098, -0.07365875586026138, 0.029871635694777774, 0.09203711951211575, -0.0874091127038663, -0.31508690199904865, 0.43617926184238204, -0.00293634831905365, 0.21746582430751005, 0.046997892159608104, 0.15731553779914975, 0.010156053674197005, 0.0025098840105197123, 0.01714068203563652, -0.14694109998116242, 0.1581005976355124, 0.3224369387232488, 0.07969112111811316, 0.26752284049026426, -0.3447510372366636, -0.12282915989072213, 0.1922233416924193, 0.11697562657026274, 0.08769687117009814, -0.033252997427142314, -0.23486722388394898, 0.1677684843420021, -0.17770753635634337, -0.16170106154506006, -0.06972411779626723, 0.043155073828529567, 0.025730017422428055, -0.22825636145576172, -0.03233102851429008, 0.10980248093725212, 0.17717628814880887, -0.07588178834186927, -0.04103264608044898, -0.01188991429103959, -0.003552160481171262, 0.03726297646250215, 0.08250032483239568, 0.0885177972320948, -0.0644081021553927, -0.13725532763337175, 0.3518196358645876, -0.08779644354757282, -0.15973525969011168, 0.11747725474678221, -0.09356742847200122, -0.19934395029239596, 0.15340771066445497, 0.04422082299847276, 0.18075858598815336, 0.011211579087220373, 0.17762153819503804, -0.14770269774336128, 0.0550920564245673, 0.09380216645677725, -0.04202407645812679, 0.08637534706823287, 0.07562161832597226, 0.13409624959252053, 0.16058023840249067, 0.01794850502178193, -0.06489450674534085, -0.336583937262936, -0.20780290055629466, -0.10203082983817664, 0.17196445908742927, -0.08157864260307003, -0.2049515616381541, 0.44664380450042024, 0.12002619703660809, 0.18573587912044698, 0.1861701007620732, 0.26039373000422794, 0.08760765718386299, 0.04357409855771449, 0.02387980490757693, 0.11675500971144967, 0.29739942785067064, 0.0286187996408121, -0.12191229247893658, -0.02603904048362071, 0.25255366539462437]
|
706.2258
|
Growth mechanisms and structure of fullerene-like carbon-based thin
films: superelastic materials for tribological applications
|
In this chapter we review our findings on the bonding structure and growth
mechanisms of carbon-based thin solid films with fullerene-like (FL)
microstructure. The so-called FL arrangements arise from the curvature and
cross-linking of basal planes in graphitic-like structures, partially
resembling that of molecular fullerenes. This three-dimensional superstructure
takes advantage of the strength of planar pi bonds in sp2 hybrids and confers
the material interesting mechanical properties, such as high hardness, high
elastic recovery, low-friction and wear-resistance. These properties can be
tailored by controlling the curvature, size and connectivity of the FL
arrangements, making these materials promising coatings for tribological
applications. We have focused our interest mostly on carbon nitride (CNx) since
nitrogen promotes the formation of FL arrangements at low substrate
temperatures and they are emerging over pure carbon coatings in tribological
applications such as protective overcoats in magnetic hard disks. We address
structural issues such as origin of plane curvature, nature of the
cross-linking sites and sp2 clustering, together with growth mechanisms based
on the role of film-forming precursors, chemical re-sputtering or concurrent
ion assistance during growth.
|
cond-mat.mtrl-sci
|
in this chapter we review our findings on the bonding structure and growth mechanisms of carbonbased thin solid films with fullerenelike fl microstructure the socalled fl arrangements arise from the curvature and crosslinking of basal planes in graphiticlike structures partially resembling that of molecular fullerenes this threedimensional superstructure takes advantage of the strength of planar pi bonds in sp2 hybrids and confers the material interesting mechanical properties such as high hardness high elastic recovery lowfriction and wearresistance these properties can be tailored by controlling the curvature size and connectivity of the fl arrangements making these materials promising coatings for tribological applications we have focused our interest mostly on carbon nitride cnx since nitrogen promotes the formation of fl arrangements at low substrate temperatures and they are emerging over pure carbon coatings in tribological applications such as protective overcoats in magnetic hard disks we address structural issues such as origin of plane curvature nature of the crosslinking sites and sp2 clustering together with growth mechanisms based on the role of filmforming precursors chemical resputtering or concurrent ion assistance during growth
|
[['in', 'this', 'chapter', 'we', 'review', 'our', 'findings', 'on', 'the', 'bonding', 'structure', 'and', 'growth', 'mechanisms', 'of', 'carbonbased', 'thin', 'solid', 'films', 'with', 'fullerenelike', 'fl', 'microstructure', 'the', 'socalled', 'fl', 'arrangements', 'arise', 'from', 'the', 'curvature', 'and', 'crosslinking', 'of', 'basal', 'planes', 'in', 'graphiticlike', 'structures', 'partially', 'resembling', 'that', 'of', 'molecular', 'fullerenes', 'this', 'threedimensional', 'superstructure', 'takes', 'advantage', 'of', 'the', 'strength', 'of', 'planar', 'pi', 'bonds', 'in', 'sp2', 'hybrids', 'and', 'confers', 'the', 'material', 'interesting', 'mechanical', 'properties', 'such', 'as', 'high', 'hardness', 'high', 'elastic', 'recovery', 'lowfriction', 'and', 'wearresistance', 'these', 'properties', 'can', 'be', 'tailored', 'by', 'controlling', 'the', 'curvature', 'size', 'and', 'connectivity', 'of', 'the', 'fl', 'arrangements', 'making', 'these', 'materials', 'promising', 'coatings', 'for', 'tribological', 'applications', 'we', 'have', 'focused', 'our', 'interest', 'mostly', 'on', 'carbon', 'nitride', 'cnx', 'since', 'nitrogen', 'promotes', 'the', 'formation', 'of', 'fl', 'arrangements', 'at', 'low', 'substrate', 'temperatures', 'and', 'they', 'are', 'emerging', 'over', 'pure', 'carbon', 'coatings', 'in', 'tribological', 'applications', 'such', 'as', 'protective', 'overcoats', 'in', 'magnetic', 'hard', 'disks', 'we', 'address', 'structural', 'issues', 'such', 'as', 'origin', 'of', 'plane', 'curvature', 'nature', 'of', 'the', 'crosslinking', 'sites', 'and', 'sp2', 'clustering', 'together', 'with', 'growth', 'mechanisms', 'based', 'on', 'the', 'role', 'of', 'filmforming', 'precursors', 'chemical', 'resputtering', 'or', 'concurrent', 'ion', 'assistance', 'during', 'growth']]
|
[-0.12386469691360401, 0.1692084869345858, -0.020003378299185953, -0.030564487038645893, -0.03448547704255808, -0.12598310483851086, 0.04650530730779309, 0.44353030358130735, -0.2934927184892408, -0.28191343625470744, 0.07198588683409353, -0.2705341495236771, -0.18687773160478574, 0.14224015944111187, -0.017392419902134245, 0.031031331172381334, -0.015464183485061771, -0.11268910528772305, -0.027983316895815066, -0.2016389477711255, 0.26348487447962393, 0.057200247579711976, 0.33793115047053934, 0.11185484473418582, 0.011576837731135936, 0.016961043903151642, 0.08311505408268316, 0.02830493320200571, -0.17493529548615483, 0.1400114137166815, 0.2505259700540432, -0.015575102575144356, 0.1980205258620261, -0.5280684846227115, -0.23926559428416067, 0.013500716981851617, 0.10935626620239983, 0.08866761952091408, -0.09823004258230938, -0.20782860822970373, 0.06351688377148772, -0.09806907453737353, -0.14556231773537348, -0.05253918180478958, -0.0030556587886465133, 0.07260715517104935, -0.15674194525519522, 0.06876649468411077, 0.08688115073752058, 0.0963978592344523, -0.1176747876261545, -0.17032688575675764, -0.1072704992033436, 0.07452621774637472, 0.034449979504386205, -0.03812043915787517, 0.244280092215618, -0.13680853727563036, -0.09615569361774935, 0.40868009160677926, 0.005313787141046618, -0.10085665511551424, 0.25353903885494056, -0.11014395459597183, -0.15876596054262193, 0.15850897876040662, 0.1622992272851831, 0.09110664128257477, -0.11245226558057149, 0.05391931564249177, 0.042951687241083614, 0.1526653361451882, 0.13012673872875544, 0.08793367352731274, 0.2631244687495048, 0.23413687873905326, 0.0075584091742701915, 0.1369678500217108, -0.0618033845761612, -0.04320814569959533, -0.18874342748000797, -0.23135005978414905, -0.14230127935626644, 0.06919056426741625, -0.11064618184584085, -0.21414670038515818, 0.3457936472943484, 0.048957203812160566, 0.17039637814412725, -0.07218629075740438, 0.21917337537177517, -0.030840689948454795, 0.1054296644488718, -0.025458035323674143, 0.24085416208451488, 0.18120278308225932, 0.10369072223977004, -0.20962107318320633, 0.1575301283717913, -0.0015636534866808498]
|
706.2259
|
Non-equilibrium coherence dynamics in one-dimensional Bose gases
|
Low-dimensional systems are beautiful examples of many-body quantum physics.
For one-dimensional systems the Luttinger liquid approach provides insight into
universal properties. Much is known of the equilibrium state, both in the
weakly and strongly interacting regime. However, it remains a challenge to
probe the dynamics by which this equilibrium state is reached. Here we present
a direct experimental study of the coherence dynamics in both isolated and
coupled degenerate 1d Bose gases. Dynamic splitting is used to create two 1d
systems in a phase coherent state. The time evolution of the coherence is
revealed in local phase shifts of the subsequently observed interference
patterns. Completely isolated 1d Bose gases are observed to exhibit a universal
sub-exponential coherence decay in excellent agreement with recent predictions
by Burkov et al. [Phys. Rev. Lett. 98, 200404 (2007)]. For two coupled 1d Bose
gases the coherence factor is observed to approach a non-zero equilibrium value
as predicted by a Bogoliubov approach. This coupled-system decay to finite
coherence is the matter wave equivalent of phase locking two lasers by
injection. The non-equilibrium dynamics of superfluids plays an important role
in a wide range of physical systems, such as superconductors, quantum-Hall
systems, superfluid Helium, and spin systems. Our experiments studying
coherence dynamics show that 1d Bose gases are ideally suited for investigating
this class of phenomena.
|
cond-mat.other cond-mat.supr-con
|
lowdimensional systems are beautiful examples of manybody quantum physics for onedimensional systems the luttinger liquid approach provides insight into universal properties much is known of the equilibrium state both in the weakly and strongly interacting regime however it remains a challenge to probe the dynamics by which this equilibrium state is reached here we present a direct experimental study of the coherence dynamics in both isolated and coupled degenerate 1d bose gases dynamic splitting is used to create two 1d systems in a phase coherent state the time evolution of the coherence is revealed in local phase shifts of the subsequently observed interference patterns completely isolated 1d bose gases are observed to exhibit a universal subexponential coherence decay in excellent agreement with recent predictions by burkov et al phys rev lett 98 200404 2007 for two coupled 1d bose gases the coherence factor is observed to approach a nonzero equilibrium value as predicted by a bogoliubov approach this coupledsystem decay to finite coherence is the matter wave equivalent of phase locking two lasers by injection the nonequilibrium dynamics of superfluids plays an important role in a wide range of physical systems such as superconductors quantumhall systems superfluid helium and spin systems our experiments studying coherence dynamics show that 1d bose gases are ideally suited for investigating this class of phenomena
|
[['lowdimensional', 'systems', 'are', 'beautiful', 'examples', 'of', 'manybody', 'quantum', 'physics', 'for', 'onedimensional', 'systems', 'the', 'luttinger', 'liquid', 'approach', 'provides', 'insight', 'into', 'universal', 'properties', 'much', 'is', 'known', 'of', 'the', 'equilibrium', 'state', 'both', 'in', 'the', 'weakly', 'and', 'strongly', 'interacting', 'regime', 'however', 'it', 'remains', 'a', 'challenge', 'to', 'probe', 'the', 'dynamics', 'by', 'which', 'this', 'equilibrium', 'state', 'is', 'reached', 'here', 'we', 'present', 'a', 'direct', 'experimental', 'study', 'of', 'the', 'coherence', 'dynamics', 'in', 'both', 'isolated', 'and', 'coupled', 'degenerate', '1d', 'bose', 'gases', 'dynamic', 'splitting', 'is', 'used', 'to', 'create', 'two', '1d', 'systems', 'in', 'a', 'phase', 'coherent', 'state', 'the', 'time', 'evolution', 'of', 'the', 'coherence', 'is', 'revealed', 'in', 'local', 'phase', 'shifts', 'of', 'the', 'subsequently', 'observed', 'interference', 'patterns', 'completely', 'isolated', '1d', 'bose', 'gases', 'are', 'observed', 'to', 'exhibit', 'a', 'universal', 'subexponential', 'coherence', 'decay', 'in', 'excellent', 'agreement', 'with', 'recent', 'predictions', 'by', 'burkov', 'et', 'al', 'phys', 'rev', 'lett', '98', '200404', '2007', 'for', 'two', 'coupled', '1d', 'bose', 'gases', 'the', 'coherence', 'factor', 'is', 'observed', 'to', 'approach', 'a', 'nonzero', 'equilibrium', 'value', 'as', 'predicted', 'by', 'a', 'bogoliubov', 'approach', 'this', 'coupledsystem', 'decay', 'to', 'finite', 'coherence', 'is', 'the', 'matter', 'wave', 'equivalent', 'of', 'phase', 'locking', 'two', 'lasers', 'by', 'injection', 'the', 'nonequilibrium', 'dynamics', 'of', 'superfluids', 'plays', 'an', 'important', 'role', 'in', 'a', 'wide', 'range', 'of', 'physical', 'systems', 'such', 'as', 'superconductors', 'quantumhall', 'systems', 'superfluid', 'helium', 'and', 'spin', 'systems', 'our', 'experiments', 'studying', 'coherence', 'dynamics', 'show', 'that', '1d', 'bose', 'gases', 'are', 'ideally', 'suited', 'for', 'investigating', 'this', 'class', 'of', 'phenomena']]
|
[-0.16083990643647583, 0.22408816438778145, -0.09410077618985352, 0.05389924765596251, 0.023999953638254242, -0.18018993045923046, 0.01962417391583916, 0.33343826548027045, -0.22707767840898171, -0.26751454848880796, 0.02247891723474657, -0.2741917876145718, -0.13254646453688937, 0.20040483742275023, 0.033111228307031774, 0.11397430280181156, 0.027264448583380067, -0.04590293813750825, -0.08306682200213386, -0.22103550755471754, 0.28316876350648024, 0.03453168367744762, 0.32080020052169195, 0.04611056701237844, 0.053604195740031585, -0.012648762984793971, 0.0615908503701741, 0.007958302746357565, -0.1597475549345373, 0.02955391884527423, 0.2677047588349193, 0.0002225743850100447, 0.22967457296115093, -0.4196186909621412, -0.2795896398580887, 0.07840270776862533, 0.15228520367619983, 0.17052764557037417, -0.05517660468255847, -0.32242228238504717, -0.04996068294435232, -0.18209687990072945, -0.15619853131938727, -0.13666472461878915, 0.05752932007466866, -0.0014394047761346553, -0.23071508177619596, 0.1376793280921199, 0.09788742805301974, 0.051988733479414476, -0.026296510397117924, -0.03606816080441191, 0.014948927659795365, 0.06472256442595442, -0.07151220489758998, 0.016954194763357834, 0.1254091168076477, -0.14355869846079838, -0.10841466608372602, 0.40601136887932876, -0.09364793117327447, -0.11974598423006352, 0.26396601336627185, -0.14843613302483308, -0.07663753360128876, 0.1529286670244553, 0.11984696672933007, 0.08816805272680622, -0.15644537134265357, 0.05438002766115295, -0.08375930267151985, 0.16594500151655997, 0.009090712299274111, 0.10666905932023589, 0.2777665695895187, 0.21590657071633773, 0.0018921763329258696, 0.1304700317771428, -0.05520859800533138, -0.17815886108040682, -0.22433626644778998, -0.1615370621904731, -0.20791244770569559, 0.06723657763074946, 0.04207193194339528, -0.1446588002970781, 0.3827964493242854, 0.14674715638393537, 0.19241280729607255, -0.026168206361101263, 0.2566766740447334, 0.11907142507790758, -0.037604753677309914, 0.05004661961045878, 0.25936211603693665, 0.19807846585965969, 0.09298054333247074, -0.3017008799816143, 0.016057787160918286, 0.05018350851976059]
|
706.226
|
Quantum charge diffusion in underdamped Josephson junctions and
superconducting nanowires
|
The effect of quantum fluctuations on the current-voltage characteristics of
Josephson junctions and superconducting nanowires is studied in the underdamped
limit. Quantum fluctuations induce transitions between a Coulomb--blockade and
a supercurrent branch, and can significantly modify the shape of
current-voltage characteristics in the case of a highly resistive environment.
Owing to the phase-charge duality, our results can be directly extended to the
opposite overdamped limit.
|
cond-mat.mes-hall cond-mat.supr-con
|
the effect of quantum fluctuations on the currentvoltage characteristics of josephson junctions and superconducting nanowires is studied in the underdamped limit quantum fluctuations induce transitions between a coulombblockade and a supercurrent branch and can significantly modify the shape of currentvoltage characteristics in the case of a highly resistive environment owing to the phasecharge duality our results can be directly extended to the opposite overdamped limit
|
[['the', 'effect', 'of', 'quantum', 'fluctuations', 'on', 'the', 'currentvoltage', 'characteristics', 'of', 'josephson', 'junctions', 'and', 'superconducting', 'nanowires', 'is', 'studied', 'in', 'the', 'underdamped', 'limit', 'quantum', 'fluctuations', 'induce', 'transitions', 'between', 'a', 'coulombblockade', 'and', 'a', 'supercurrent', 'branch', 'and', 'can', 'significantly', 'modify', 'the', 'shape', 'of', 'currentvoltage', 'characteristics', 'in', 'the', 'case', 'of', 'a', 'highly', 'resistive', 'environment', 'owing', 'to', 'the', 'phasecharge', 'duality', 'our', 'results', 'can', 'be', 'directly', 'extended', 'to', 'the', 'opposite', 'overdamped', 'limit']]
|
[-0.20478414344386411, 0.17545923986830392, -0.11735906772888624, 0.04512464336047952, -0.02902918099783934, -0.1532273543640398, 0.06694374269304368, 0.3313859686255455, -0.22475400638963597, -0.2622096140940602, -0.019246486230538443, -0.28674196992069484, -0.14814447640226439, 0.23137070725743586, -0.028776524101312345, 0.019017153519850512, -0.0035127491045456667, -0.04998011967310539, -0.07100710048913382, -0.15856328966955727, 0.24778587113206202, 0.00462299044817113, 0.38801773689114133, 0.0886719289343231, 0.039315169440725675, -0.06982428478077055, 0.13097428678033443, 0.07315221642717146, -0.11746025307533833, 0.008412554283411457, 0.25074044425900166, -0.14836417574865313, 0.14485574482868496, -0.4998540195421531, -0.20156623135105922, 0.07684018594714312, 0.19683709154442813, 0.16817590379371092, 0.023389319135234333, -0.32345904865158864, 0.05091085904277861, -0.11213780248251098, -0.09939389482427102, -0.03001593961738623, -0.009350097809846584, 0.05450770938589882, -0.21043950699699612, 0.0658457841258496, 0.10886641164990858, 0.008014454915918087, 0.03130791275403821, -0.03332670214227759, -0.05982498825671008, 0.07866801611649302, -0.002646350753135406, -0.04431014235059803, 0.24686564181286555, -0.16568205588712143, -0.12257695745390196, 0.2876102019387942, -0.08506457888736174, -0.16134480074621163, 0.15976115069710292, -0.17138565063763123, -0.0415274418460635, 0.12144702781851476, 0.11863686978243865, 0.08949569025291847, -0.1531511946223103, 0.0867654041861757, 0.04939511448431474, 0.13777412935518302, 0.061350619309366895, 0.10219544109243613, 0.2693352886189062, 0.19214694193349435, 1.3002695945593027e-08, 0.18102808887174782, -0.1447286466960437, -0.12070714112084646, -0.29215290712622494, -0.15557287186205102, -0.16823987753775257, 0.10130136547444496, -0.0585678872072514, -0.20282633827927593, 0.4227780711622192, 0.18630923077177544, 0.1922934924467252, -0.015641387566350973, 0.2619171620060045, 0.17567454097398486, 0.054292378696398094, 0.016544244789446775, 0.26351581691549375, 0.2245602211700036, 0.15674683136435655, -0.37985391442735605, 0.09079247823414895, -0.002801667512036287]
|
706.2261
|
Uniqueness of $\bf C^*$- and $\bf C_+$-actions on Gizatullin surfaces
|
A Gizatullin surface is a normal affine surface $V$ over $\bf C$, which can
be completed by a zigzag; that is, by a linear chain of smooth rational curves.
In this paper we deal with the question of uniqueness of $\bf C^*$-actions and
$\bf A^1$-fibrations on such a surface $V$ up to automorphisms. The latter
fibrations are in one to one correspondence with $\bf C_+$-actions on $V$
considered up to a "speed change".
Non-Gizatullin surfaces are known to admit at most one $\bf A^1$-fibration
$V\to S$ up to an isomorphism of the base $S$. Moreover an effective $\bf
C^{*}$-action on them, if it does exist, is unique up to conjugation and
inversion $t\mapsto t^{-1}$ of $\bf C^*$. Obviously uniqueness of $\bf
C^*$-actions fails for affine toric surfaces; however we show in this case that
there are at most two conjugacy classes of $\bf A^1$-fibrations. There is a
further interesting family of non-toric Gizatullin surfaces, called the
Danilov-Gizatullin surfaces, where there are in general several conjugacy
classes of $\bf C^*$-actions and $\bf A^1$-fibrations.
In the present paper we obtain a criterion as to when $\bf A^1$-fibrations of
Gizatullin surfaces are conjugate up to an automorphism of $V$ and the base
$S$. We exhibit as well a large subclasses of Gizatullin $\bf C^{*}$-surfaces
for which a $\bf C^*$-action is essentially unique and for which there are at
most two conjugacy classes of $\bf A^1$-fibrations over $\bf A^1$.
|
math.AG
|
a gizatullin surface is a normal affine surface v over bf c which can be completed by a zigzag that is by a linear chain of smooth rational curves in this paper we deal with the question of uniqueness of bf cactions and bf a1fibrations on such a surface v up to automorphisms the latter fibrations are in one to one correspondence with bf c_actions on v considered up to a speed change nongizatullin surfaces are known to admit at most one bf a1fibration vto s up to an isomorphism of the base s moreover an effective bf caction on them if it does exist is unique up to conjugation and inversion tmapsto t1 of bf c obviously uniqueness of bf cactions fails for affine toric surfaces however we show in this case that there are at most two conjugacy classes of bf a1fibrations there is a further interesting family of nontoric gizatullin surfaces called the danilovgizatullin surfaces where there are in general several conjugacy classes of bf cactions and bf a1fibrations in the present paper we obtain a criterion as to when bf a1fibrations of gizatullin surfaces are conjugate up to an automorphism of v and the base s we exhibit as well a large subclasses of gizatullin bf csurfaces for which a bf caction is essentially unique and for which there are at most two conjugacy classes of bf a1fibrations over bf a1
|
[['a', 'gizatullin', 'surface', 'is', 'a', 'normal', 'affine', 'surface', 'v', 'over', 'bf', 'c', 'which', 'can', 'be', 'completed', 'by', 'a', 'zigzag', 'that', 'is', 'by', 'a', 'linear', 'chain', 'of', 'smooth', 'rational', 'curves', 'in', 'this', 'paper', 'we', 'deal', 'with', 'the', 'question', 'of', 'uniqueness', 'of', 'bf', 'cactions', 'and', 'bf', 'a1fibrations', 'on', 'such', 'a', 'surface', 'v', 'up', 'to', 'automorphisms', 'the', 'latter', 'fibrations', 'are', 'in', 'one', 'to', 'one', 'correspondence', 'with', 'bf', 'c_actions', 'on', 'v', 'considered', 'up', 'to', 'a', 'speed', 'change', 'nongizatullin', 'surfaces', 'are', 'known', 'to', 'admit', 'at', 'most', 'one', 'bf', 'a1fibration', 'vto', 's', 'up', 'to', 'an', 'isomorphism', 'of', 'the', 'base', 's', 'moreover', 'an', 'effective', 'bf', 'caction', 'on', 'them', 'if', 'it', 'does', 'exist', 'is', 'unique', 'up', 'to', 'conjugation', 'and', 'inversion', 'tmapsto', 't1', 'of', 'bf', 'c', 'obviously', 'uniqueness', 'of', 'bf', 'cactions', 'fails', 'for', 'affine', 'toric', 'surfaces', 'however', 'we', 'show', 'in', 'this', 'case', 'that', 'there', 'are', 'at', 'most', 'two', 'conjugacy', 'classes', 'of', 'bf', 'a1fibrations', 'there', 'is', 'a', 'further', 'interesting', 'family', 'of', 'nontoric', 'gizatullin', 'surfaces', 'called', 'the', 'danilovgizatullin', 'surfaces', 'where', 'there', 'are', 'in', 'general', 'several', 'conjugacy', 'classes', 'of', 'bf', 'cactions', 'and', 'bf', 'a1fibrations', 'in', 'the', 'present', 'paper', 'we', 'obtain', 'a', 'criterion', 'as', 'to', 'when', 'bf', 'a1fibrations', 'of', 'gizatullin', 'surfaces', 'are', 'conjugate', 'up', 'to', 'an', 'automorphism', 'of', 'v', 'and', 'the', 'base', 's', 'we', 'exhibit', 'as', 'well', 'a', 'large', 'subclasses', 'of', 'gizatullin', 'bf', 'csurfaces', 'for', 'which', 'a', 'bf', 'caction', 'is', 'essentially', 'unique', 'and', 'for', 'which', 'there', 'are', 'at', 'most', 'two', 'conjugacy', 'classes', 'of', 'bf', 'a1fibrations', 'over', 'bf', 'a1']]
|
[-0.18741327560715507, 0.0810744209565169, -0.020291692094768474, -0.01201712791175694, -0.07934654741984559, -0.1763157224451224, 0.017400136011740962, 0.3852000302426389, -0.30300765822928577, -0.2342652789485673, 0.077138032712512, -0.26352372332797225, -0.1387388715364946, 0.21447159959493076, -0.12194881697610856, -0.02070274404882341, -0.014307544799521565, 0.06841987516361706, -0.12148610220324842, -0.2928105084634996, 0.32414353134688634, -0.0880381863841241, 0.18924730566555056, 0.051665959010655384, 0.11281537491993668, -0.03529045677037332, 0.04425836571468169, 0.003570544071784564, -0.16130388572899643, 0.083269797819506, 0.2900620971962906, 0.07587881153574863, 0.17878050748298974, -0.3266116197036322, -0.1533128891139219, 0.17082005147149804, 0.08649341092677787, 0.029292375620570965, 0.009716839503982617, -0.23949839480538404, 0.15528683059503615, -0.11039548844564706, -0.0968988206255619, -0.08868417901073278, 0.15791527964054317, 0.01683800459331592, -0.2782462473661671, 0.03063409685913437, 0.1427219187693293, 0.09876767941951302, -0.008863613069918537, -0.10028376728085528, -0.10464141676342918, 0.03890125231643243, 0.031173778883510687, 0.13900963839540934, 0.025952509799465368, -0.0971653075178218, -0.08252878191355005, 0.4083296985429178, -0.05117217542459097, -0.21344617200244603, 0.2157128660915548, -0.11968808271621097, -0.1337702185435397, 0.14412233799069735, 0.14910853601960017, 0.16476858006178097, -0.07246833364811679, 0.19604489325765512, -0.11904407997117859, 0.08212922236998565, 0.11813579171350033, -0.053596482602909515, 0.1431622100945819, 0.05119038456830132, 0.11271856561030165, 0.07169134817327019, -0.036991453668476955, -0.010924187693584326, -0.38930034735400615, -0.2026612747316088, -0.14535820462935653, 0.1398683854465068, -0.015504307859185341, -0.17960472615507977, 0.40622819621710043, 0.04919847297110758, 0.21300191220783243, 0.03814758184107005, 0.11827670375752294, 0.03740548606909779, 0.03149507789579541, 0.15723621130696144, 0.15420731810696325, 0.1691929201740001, -0.030922622544337707, -0.12879568535472258, -0.02954194434629432, 0.09678176841959518]
|
706.2262
|
Adjoints and Formal Adjoints of Matrices of Unbounded Operators
|
In this paper we {\em discuss} diverse aspects of mutual relationship between
adjoints and formal adjoints of unbounded operators bearing a matrix structure.
We emphasize on the behaviour of row and column operators as they turn out to
be the germs of an arbitrary matrix operator, providing most of the information
about the latter {as it is the troublemaker}.
|
math.FA math-ph math.MP
|
in this paper we em discuss diverse aspects of mutual relationship between adjoints and formal adjoints of unbounded operators bearing a matrix structure we emphasize on the behaviour of row and column operators as they turn out to be the germs of an arbitrary matrix operator providing most of the information about the latter as it is the troublemaker
|
[['in', 'this', 'paper', 'we', 'em', 'discuss', 'diverse', 'aspects', 'of', 'mutual', 'relationship', 'between', 'adjoints', 'and', 'formal', 'adjoints', 'of', 'unbounded', 'operators', 'bearing', 'a', 'matrix', 'structure', 'we', 'emphasize', 'on', 'the', 'behaviour', 'of', 'row', 'and', 'column', 'operators', 'as', 'they', 'turn', 'out', 'to', 'be', 'the', 'germs', 'of', 'an', 'arbitrary', 'matrix', 'operator', 'providing', 'most', 'of', 'the', 'information', 'about', 'the', 'latter', 'as', 'it', 'is', 'the', 'troublemaker']]
|
[-0.14053239250334643, 0.08051842279654288, -0.06504745086284071, 0.0825666888474913, -0.09208137449666352, -0.08392245637379207, 0.036760000024638056, 0.3836924888319888, -0.32053709053237117, -0.22524206734941168, 0.1546113967354867, -0.30155495961859696, -0.18560183388417809, 0.09676183188744521, -0.07028002956471706, 0.021370533342725772, 0.004633009686308392, 0.06957116869073045, -0.12574942149734913, -0.1928513256548825, 0.3818127595566971, 0.06814199471372669, 0.18707485102369623, 0.09501330870977145, 0.10579315119943881, 0.015017876196336948, -0.07030722356038326, -0.04519391675495495, -0.06248668173201761, 0.15852789218553295, 0.2876273686602964, 0.16884941774641432, 0.249439966600483, -0.4581141058608132, -0.12569886689090123, 0.15254985672121835, 0.12754283809118858, 0.03378424456469336, 0.010400659592143433, -0.2712912325889377, 0.06285551159792596, -0.18243063900272471, -0.12213662184648595, -0.08954599921165382, 0.03597926683092521, 0.007952084638557191, -0.2465072550733921, 0.02166536560881946, 0.12326986708883513, 0.10189112954599372, -0.03892934655818015, -0.11243891267705772, -0.02583101972882336, 0.14782970550990962, 0.05179332766161, -0.03832792141277469, 0.11526748201794039, -0.12001705630208855, -0.06713280923885562, 0.3507052042474181, -0.03206797085812915, -0.24383222234264704, 0.16558681740780692, -0.1590143415161361, -0.12364896860415653, 0.010170387356715688, 0.13411617509515608, 0.13707566280233657, -0.1297019353162071, 0.10192113554981237, -0.09398466628044844, 0.13938314000428734, 0.08366086411337226, 0.1062267933482841, 0.18937708723153604, 0.07539669777882302, 0.11144322397629336, 0.12559112506894932, 0.033232326220752575, -0.11328803608193994, -0.3184910941300756, -0.19736315236600527, -0.10016823773098699, 0.047300737256468356, -0.1103816088836569, -0.18419805639502357, 0.408632517981706, 0.15141728701922347, 0.26401152075820805, 0.03622575246302758, 0.2433002175352836, 0.13368016916674452, 0.06595256908844083, 0.02008208270200481, 0.18565506128183865, 0.20719785568446425, 0.0836607010451035, -0.16297331864756168, 0.08300242067109477, 0.1296399498389939]
|
706.2263
|
Phase rigidity breaking in open Aharonov-Bohm ring coupled to a
cantilever
|
The conductance and the transmittance phase shifts of a two-terminal
Aharonov-Bohm (AB) ring are analyzed in the presence of mechanical
displacements due to coupling to an external can- tilever. We show that phase
rigidity is broken, even in the linear response regime, by means of inelastic
scattering due to phonons. Our device provides a way of observing continuous
variation of the transmission phase through a two-terminal
nano-electro-mechanical system (NEMS). We also propose measurements of phase
shifts as a way to determine the strength of the electron-phonon coupling in
NEMS.
|
cond-mat.mes-hall
|
the conductance and the transmittance phase shifts of a twoterminal aharonovbohm ab ring are analyzed in the presence of mechanical displacements due to coupling to an external can tilever we show that phase rigidity is broken even in the linear response regime by means of inelastic scattering due to phonons our device provides a way of observing continuous variation of the transmission phase through a twoterminal nanoelectromechanical system nems we also propose measurements of phase shifts as a way to determine the strength of the electronphonon coupling in nems
|
[['the', 'conductance', 'and', 'the', 'transmittance', 'phase', 'shifts', 'of', 'a', 'twoterminal', 'aharonovbohm', 'ab', 'ring', 'are', 'analyzed', 'in', 'the', 'presence', 'of', 'mechanical', 'displacements', 'due', 'to', 'coupling', 'to', 'an', 'external', 'can', 'tilever', 'we', 'show', 'that', 'phase', 'rigidity', 'is', 'broken', 'even', 'in', 'the', 'linear', 'response', 'regime', 'by', 'means', 'of', 'inelastic', 'scattering', 'due', 'to', 'phonons', 'our', 'device', 'provides', 'a', 'way', 'of', 'observing', 'continuous', 'variation', 'of', 'the', 'transmission', 'phase', 'through', 'a', 'twoterminal', 'nanoelectromechanical', 'system', 'nems', 'we', 'also', 'propose', 'measurements', 'of', 'phase', 'shifts', 'as', 'a', 'way', 'to', 'determine', 'the', 'strength', 'of', 'the', 'electronphonon', 'coupling', 'in', 'nems']]
|
[-0.2540714616602186, 0.1832425544233212, -0.0677411835746501, -0.051287627745874816, -0.039505918520841406, -0.13697265581735832, 0.08630292770579796, 0.39948811822316865, -0.31210344725034456, -0.25512051027776167, 0.001553169918638146, -0.2809007441709665, -0.20450315909957598, 0.19266543480758133, -0.023361043390733274, 0.038970925136130645, -0.0005283825554546307, -0.0326007978212808, -0.060117351544745776, -0.15802447744433515, 0.258187845857306, 0.04882114734606479, 0.27266783648255194, 0.08064221960111437, 0.033980543147084645, 0.05404876498240893, 0.08343318879435008, 0.04527391859499568, -0.09984019510118908, 0.05020150951829485, 0.27051394509511406, -0.08437663951719349, 0.2059242706745863, -0.43710980375974695, -0.20503740081436594, 0.04341670821039853, 0.12853816772324286, 0.15886794415101493, -0.0442667516710406, -0.28311092203313654, 0.011956962100653485, -0.14589403318876232, -0.11975228136659345, -0.11140225804940035, 0.030160639667883515, 0.00475752689156004, -0.2835789807140827, 0.08082434001335059, 0.019026868616823445, 0.0588150986216285, -0.07282989964270117, -0.007897199961007573, -0.015597858304814012, 0.10044129310302775, 0.0038147492159623653, -0.025413424967237832, 0.2047856781070798, -0.10053628285690634, -0.09064972275783392, 0.39943798407065595, -0.10145051945371299, -0.11358931728384712, 0.14841287111101503, -0.17022954225434328, -0.02633048806985078, 0.13466051266401668, 0.1461063110565936, 0.0646325812082399, -0.17623965873975644, 0.06651952477973695, 0.03199762938840484, 0.1870684624115132, 0.05249537627572532, 0.09879973117627246, 0.22410082567313855, 0.19858057766263795, 0.06094541471611592, 0.18473571077497167, -0.1334832747604444, -0.028184757980687373, -0.2961766808399592, -0.13840727987487547, -0.1925764275312593, 0.10658887211254543, -0.050230565987393755, -0.17510499677684327, 0.40603390125959943, 0.17107044588919962, 0.18716546133245257, -0.0023349239067597823, 0.31457257021049206, 0.17587344973236957, 0.06838038142516532, -0.027635003842244096, 0.31678817787376995, 0.21323313231617, 0.10470404953759332, -0.3416918299785307, 0.04617892395683818, -0.018852027323604983]
|
706.2264
|
Hard QCD probes to quark-gluon plasma
|
Completely unexplored regimes of QCD, dominated by high-density/temperature
effects, are available in heavy ion experiments at collider energies. The
successful RHIC program shows how relevant the high transverse momentum part of
the spectrum is for the characterization of the properties of the created
medium. It points, as well, to interesting properties of the nuclear wave
function at small fraction of momentum x, probably dominated by saturated color
fields. In both domains, the imminent LHC program will provide a phase space
enlarged by orders of magnitude with respect to those studied at RHIC. I will
review the present status of hard probes in heavy ion collisions as well as the
expectations for the LHC.
|
hep-ph
|
completely unexplored regimes of qcd dominated by highdensitytemperature effects are available in heavy ion experiments at collider energies the successful rhic program shows how relevant the high transverse momentum part of the spectrum is for the characterization of the properties of the created medium it points as well to interesting properties of the nuclear wave function at small fraction of momentum x probably dominated by saturated color fields in both domains the imminent lhc program will provide a phase space enlarged by orders of magnitude with respect to those studied at rhic i will review the present status of hard probes in heavy ion collisions as well as the expectations for the lhc
|
[['completely', 'unexplored', 'regimes', 'of', 'qcd', 'dominated', 'by', 'highdensitytemperature', 'effects', 'are', 'available', 'in', 'heavy', 'ion', 'experiments', 'at', 'collider', 'energies', 'the', 'successful', 'rhic', 'program', 'shows', 'how', 'relevant', 'the', 'high', 'transverse', 'momentum', 'part', 'of', 'the', 'spectrum', 'is', 'for', 'the', 'characterization', 'of', 'the', 'properties', 'of', 'the', 'created', 'medium', 'it', 'points', 'as', 'well', 'to', 'interesting', 'properties', 'of', 'the', 'nuclear', 'wave', 'function', 'at', 'small', 'fraction', 'of', 'momentum', 'x', 'probably', 'dominated', 'by', 'saturated', 'color', 'fields', 'in', 'both', 'domains', 'the', 'imminent', 'lhc', 'program', 'will', 'provide', 'a', 'phase', 'space', 'enlarged', 'by', 'orders', 'of', 'magnitude', 'with', 'respect', 'to', 'those', 'studied', 'at', 'rhic', 'i', 'will', 'review', 'the', 'present', 'status', 'of', 'hard', 'probes', 'in', 'heavy', 'ion', 'collisions', 'as', 'well', 'as', 'the', 'expectations', 'for', 'the', 'lhc']]
|
[-0.08678397521310087, 0.2331099157319321, -0.0910121647383286, 0.10196959299355512, -0.015037949997349642, -0.0785559842562569, -0.01578176897809109, 0.35129301100304083, -0.252057377764556, -0.2937925466586811, 0.07443314702270852, -0.3096455752965994, 0.028714909234882464, 0.18753892881795764, 0.050126112556816746, 0.06154148421982037, 0.07190152094283674, -0.014396880291574885, -0.05694965496825587, -0.22477548734085367, 0.30955929156958256, 0.13279322725221782, 0.22264645176723466, 0.11576261952203433, 0.07210536587185093, 0.03903696793713607, -0.03588981032537829, 0.04430071639918814, -0.12784070583958446, 0.04900908933554352, 0.3082698580775676, 0.07094571181888958, 0.20236156936984376, -0.39569664364015417, -0.15853437787986227, 0.06952892729896121, 0.12162639596499503, 0.0933763447932766, -0.08680311661113851, -0.24100329084987088, 0.061553039843732095, -0.1832939464199756, -0.20223993645465402, -0.06691825462205868, 0.019586526439525187, 0.024204555202507954, -0.23950403078093327, 0.08888139067442223, -0.01929574222075254, 0.052126043771360334, -0.020332187788361416, -0.2000692047586199, -0.06647800911949682, 0.0372268058064427, 0.07828308782232593, 0.06163649542473389, 0.15564748581631907, -0.2132507329235003, -0.12102614825458399, 0.4031245575585802, -0.04728935979073867, -0.07458683552769278, 0.21384417569164985, -0.2308896826122821, -0.12196717453272347, 0.1690068496141716, 0.21698726163114251, 0.11951700210504766, -0.14294921290378884, 0.08332566011813469, 0.005585790624406529, 0.11577817108660124, 0.029249810025898375, 0.13140131161864183, 0.24443334957218862, 0.19651104627077334, 0.029211074928753078, 0.13786822483468444, -0.059178880446552284, -0.04812267460926835, -0.3905519274578962, -0.06254225334851071, -0.15139094480504614, 0.002342145391464458, -0.013536910938065765, -0.07316983333605874, 0.39254199849425014, 0.1089542154555342, 0.24955345155571454, -0.06769814372195729, 0.31046442973560523, 0.0645558904257736, 0.07050620943612428, 0.05965002298801535, 0.30323454697749447, 0.11012703201517329, 0.19360314895727374, -0.23353805934103938, 0.0771650226005087, 0.049934650118562525]
|
706.2265
|
Vicinal silicon surfaces: from step density wave to faceting
|
This paper investigates faceting mechanisms induced by electromigration in
the regime where atomic steps are transparent. For this purpose we study
several vicinal orientations by means of in-situ (optical diffraction,
electronic microscopy) as well as ex-situ (AFM, microprofilometry)
visualization techniques. The data show that faceting proceeds in two stages.
The first stage is short and leads to the appearance of a step density wave,
with a wavelength roughly independent of the surface orientation. The second
stage is much slower, and leads to the formation of a hill-and-valley
structure, the period of which depends on the initial surface orientation. A
simple continuum model enables us to point out why the wavelength of the step
density wave does not depend on the microscale details of the surface. The
final wavelength is controlled by the competition between elastic step-step
interaction and facet edge energy cost. Finally, the surface stress angular
dependence is shown to emerge as a coarsed-grained picture from the step model.
|
cond-mat.mtrl-sci
|
this paper investigates faceting mechanisms induced by electromigration in the regime where atomic steps are transparent for this purpose we study several vicinal orientations by means of insitu optical diffraction electronic microscopy as well as exsitu afm microprofilometry visualization techniques the data show that faceting proceeds in two stages the first stage is short and leads to the appearance of a step density wave with a wavelength roughly independent of the surface orientation the second stage is much slower and leads to the formation of a hillandvalley structure the period of which depends on the initial surface orientation a simple continuum model enables us to point out why the wavelength of the step density wave does not depend on the microscale details of the surface the final wavelength is controlled by the competition between elastic stepstep interaction and facet edge energy cost finally the surface stress angular dependence is shown to emerge as a coarsedgrained picture from the step model
|
[['this', 'paper', 'investigates', 'faceting', 'mechanisms', 'induced', 'by', 'electromigration', 'in', 'the', 'regime', 'where', 'atomic', 'steps', 'are', 'transparent', 'for', 'this', 'purpose', 'we', 'study', 'several', 'vicinal', 'orientations', 'by', 'means', 'of', 'insitu', 'optical', 'diffraction', 'electronic', 'microscopy', 'as', 'well', 'as', 'exsitu', 'afm', 'microprofilometry', 'visualization', 'techniques', 'the', 'data', 'show', 'that', 'faceting', 'proceeds', 'in', 'two', 'stages', 'the', 'first', 'stage', 'is', 'short', 'and', 'leads', 'to', 'the', 'appearance', 'of', 'a', 'step', 'density', 'wave', 'with', 'a', 'wavelength', 'roughly', 'independent', 'of', 'the', 'surface', 'orientation', 'the', 'second', 'stage', 'is', 'much', 'slower', 'and', 'leads', 'to', 'the', 'formation', 'of', 'a', 'hillandvalley', 'structure', 'the', 'period', 'of', 'which', 'depends', 'on', 'the', 'initial', 'surface', 'orientation', 'a', 'simple', 'continuum', 'model', 'enables', 'us', 'to', 'point', 'out', 'why', 'the', 'wavelength', 'of', 'the', 'step', 'density', 'wave', 'does', 'not', 'depend', 'on', 'the', 'microscale', 'details', 'of', 'the', 'surface', 'the', 'final', 'wavelength', 'is', 'controlled', 'by', 'the', 'competition', 'between', 'elastic', 'stepstep', 'interaction', 'and', 'facet', 'edge', 'energy', 'cost', 'finally', 'the', 'surface', 'stress', 'angular', 'dependence', 'is', 'shown', 'to', 'emerge', 'as', 'a', 'coarsedgrained', 'picture', 'from', 'the', 'step', 'model']]
|
[-0.12817603090201074, 0.1639980169520065, -0.11574165794696697, 0.008492514000368552, -0.0647330710552397, -0.0754906823633893, 0.0358649288688026, 0.40191125152396817, -0.28317714251483544, -0.30106673784380117, 0.057712262624556414, -0.22109283551668066, -0.1526189275090347, 0.17145011457909323, 0.005202896674929918, 0.025198127806210256, 0.028926087741569108, -0.029968328367258552, -0.03686658206986723, -0.18407211639429147, 0.32246129532253276, 0.10222373719765919, 0.3214749897287899, 0.08572344906860963, 0.08009884944495073, 0.04278232303265293, -0.007130973926145595, 0.006734256682728854, -0.1626024931992785, 0.08136066262937398, 0.20629473769178178, 0.014084089692960908, 0.2564470456379666, -0.4959948357619062, -0.19383195146941876, 0.009769025071939642, 0.12604637476733496, 0.1527534855442723, -0.007633271092207089, -0.20263407425218133, 0.03308886776772575, -0.09669929621976954, -0.1483607204930114, -0.004783406905989057, 0.019721663934237594, 0.016530303366835142, -0.24650121583858256, 0.10222960963750942, 0.08708549077884896, 0.05067885296914396, -0.06966295071635867, -0.06409709004514344, -0.08078295224393377, 0.10920434392976892, 0.043108703813197306, 0.05874287807294227, 0.1813588404992619, -0.1083706681310093, -0.06311517377837879, 0.37280246055437416, -0.037678761447888884, -0.12334121460142204, 0.20321684811246593, -0.14627337473580213, -0.04430324443957851, 0.17174445379442901, 0.13553004759611398, 0.12143585429220355, -0.12479968436388005, 0.03641566058474923, 0.023513018157476077, 0.21735143585552763, 0.10625813253329996, 0.005710056415593983, 0.22042107998829666, 0.23430367860990234, 0.0824385656617122, 0.14231861502380122, -0.1491722613808852, -0.06321240715532198, -0.28991786694106986, -0.16400345709893993, -0.20226316286038748, 0.029211957902773547, -0.06635121795943057, -0.15977537300812722, 0.4122357605013383, 0.11305462157565958, 0.24355252521242238, -0.00680394244271248, 0.30690354779598455, 0.08629862174076394, 0.057297998785554825, -0.012093834164169252, 0.23830813605594744, 0.10910394054961309, 0.09510678712785527, -0.24949112676671276, 0.11464786840178355, 0.07387936281340927]
|
706.2266
|
The role of the slope of `realistic' potential barriers in preventing
relativistic tunnelling in the Klein zone
|
The transmission of fermions of mass m and energy E through an electrostatic
potential barrier of rectangular shape (i.e. supporting an infinite electric
field), of height U> E + m - due to the many-body nature of the Dirac equation
evidentiated by the Klein paradox - has been widely studied. We exploit here
the analytical solution, given by Sauter for the linearly rising potential
step, to show that the tunnelling rate through a more realistic trapezoidal
barrier is exponentially depressed, as soon as the length of the regions
supporting a finite electric field exceeds the Compton wavelenght of the
particle - the latter circumstance being hardly escapable in most realistic
cases.
|
quant-ph
|
the transmission of fermions of mass m and energy e through an electrostatic potential barrier of rectangular shape ie supporting an infinite electric field of height u e m due to the manybody nature of the dirac equation evidentiated by the klein paradox has been widely studied we exploit here the analytical solution given by sauter for the linearly rising potential step to show that the tunnelling rate through a more realistic trapezoidal barrier is exponentially depressed as soon as the length of the regions supporting a finite electric field exceeds the compton wavelenght of the particle the latter circumstance being hardly escapable in most realistic cases
|
[['the', 'transmission', 'of', 'fermions', 'of', 'mass', 'm', 'and', 'energy', 'e', 'through', 'an', 'electrostatic', 'potential', 'barrier', 'of', 'rectangular', 'shape', 'ie', 'supporting', 'an', 'infinite', 'electric', 'field', 'of', 'height', 'u', 'e', 'm', 'due', 'to', 'the', 'manybody', 'nature', 'of', 'the', 'dirac', 'equation', 'evidentiated', 'by', 'the', 'klein', 'paradox', 'has', 'been', 'widely', 'studied', 'we', 'exploit', 'here', 'the', 'analytical', 'solution', 'given', 'by', 'sauter', 'for', 'the', 'linearly', 'rising', 'potential', 'step', 'to', 'show', 'that', 'the', 'tunnelling', 'rate', 'through', 'a', 'more', 'realistic', 'trapezoidal', 'barrier', 'is', 'exponentially', 'depressed', 'as', 'soon', 'as', 'the', 'length', 'of', 'the', 'regions', 'supporting', 'a', 'finite', 'electric', 'field', 'exceeds', 'the', 'compton', 'wavelenght', 'of', 'the', 'particle', 'the', 'latter', 'circumstance', 'being', 'hardly', 'escapable', 'in', 'most', 'realistic', 'cases']]
|
[-0.15021699957246454, 0.16442771489047753, -0.03849890586296272, 0.0654222501039874, -0.041317683165752385, -0.1444184250233449, 0.04454100812029726, 0.34637539717808086, -0.25350986065162906, -0.2962235213600029, 0.03647384128230185, -0.2760010422031694, -0.09489440589589682, 0.2139923166723061, 0.008840608859724665, 0.04047402617537577, -0.0025270754528530647, 0.06357991567127547, -0.018323284529922705, -0.21651871851206106, 0.3113696546697954, 0.0881674753607444, 0.2563117984199088, 0.11525729960401736, 0.0700899938973686, 0.04412449484269293, 0.03809646460752635, 0.02296884765065391, -0.11872648957158265, 0.03971535007261785, 0.18205673654370433, 0.024850332540600508, 0.2749677510264347, -0.44972001594262867, -0.2230023244211345, 0.07825644501432213, 0.20117566258018343, 0.08961575052191345, -0.08422546305120944, -0.26165734113738787, 0.059716834669124405, -0.16456384100195653, -0.20488966706226458, 0.0042821692329181255, 0.09893103846115991, 0.034433790722000854, -0.23653582371068452, 0.05926136038143118, 0.03455936958473, 0.015518429199286367, -0.0697721518413603, -0.09121219191015456, -0.049203201276162324, 0.056883421313579915, 0.07323346273942832, 0.042691379767965595, 0.13178945850703935, -0.14838195246982583, -0.0816628682813695, 0.3692107925121233, -0.06909370334063358, -0.18013359031657566, 0.13973565699251475, -0.15429448780498273, 0.022036815088523447, 0.17558003190623703, 0.08484603153467003, 0.11438133262695288, -0.1309126122011188, 0.15223656997099994, -0.03811341535930416, 0.14014439027479692, 0.11312970996149024, -0.01178901643000262, 0.22847344931039326, 0.15804297206835505, 0.08610567428009093, 0.10580867582510384, -0.11339898450510963, -0.08256494927105827, -0.29791823159551845, -0.15783056196370074, -0.20668011518768561, 0.08081113907315259, -0.06845412060565136, -0.1986974110686273, 0.3671860560897808, 0.10419798884013633, 0.19421129935544054, -0.013132222242793947, 0.2802963389329753, 0.17331211258688028, 0.06571826290883967, 0.045751258937360824, 0.22170128606101674, 0.1485126156015058, 0.10436626211827937, -0.25505601882249257, 0.025884228841981518, 0.02461344491084159]
|
706.2267
|
A Review of Recent Results from the Tevatron
|
The D0 and CDF experiments have been taking data at the Run 2 of the Tevatron
Collider since 2001. We present a selection of recent results, most of them
obtained with an integrated luminosity of $\simeq$ 1 fb$^{-1}$. I will describe
the most important facets of the physics programme and detail some results.
Recent direct limits on standard model Higgs obtained at the Tevatron, and
their their prospects will be also reviewed.
|
hep-ex
|
the d0 and cdf experiments have been taking data at the run 2 of the tevatron collider since 2001 we present a selection of recent results most of them obtained with an integrated luminosity of simeq 1 fb1 i will describe the most important facets of the physics programme and detail some results recent direct limits on standard model higgs obtained at the tevatron and their their prospects will be also reviewed
|
[['the', 'd0', 'and', 'cdf', 'experiments', 'have', 'been', 'taking', 'data', 'at', 'the', 'run', '2', 'of', 'the', 'tevatron', 'collider', 'since', '2001', 'we', 'present', 'a', 'selection', 'of', 'recent', 'results', 'most', 'of', 'them', 'obtained', 'with', 'an', 'integrated', 'luminosity', 'of', 'simeq', '1', 'fb1', 'i', 'will', 'describe', 'the', 'most', 'important', 'facets', 'of', 'the', 'physics', 'programme', 'and', 'detail', 'some', 'results', 'recent', 'direct', 'limits', 'on', 'standard', 'model', 'higgs', 'obtained', 'at', 'the', 'tevatron', 'and', 'their', 'their', 'prospects', 'will', 'be', 'also', 'reviewed']]
|
[-0.011594767307138277, 0.09603127195785216, -0.08227900423419972, 0.06860176034064756, -0.07814085258481403, -0.12004690682644853, -0.006088768646198635, 0.36959167880316574, -0.18712895956964026, -0.3113695371947769, 0.12620999506907538, -0.3516956658180182, -0.014089413646919033, 0.2403086907611901, 0.04527537130181574, 0.11374825289951535, 0.13621660137950029, -0.049390668178805046, -0.07635904685594141, -0.36364712436786956, 0.24468160894078514, 0.12682383413064396, 0.22412968728329158, 0.1033117425459851, 0.055499987128617555, -0.009904307678678177, -0.12169477603553484, -0.02961763222831198, -0.17495074916061842, 0.13131386745953932, 0.25908137107681894, 0.19655709527756293, 0.18820407561078253, -0.4233982245981072, -0.0682915950116391, 0.11032441418824925, 0.11752956460178313, 0.07883994514122605, -0.09186111141752917, -0.3429110927002815, 0.11265552895040148, -0.21367404309219434, -0.11773044857869132, -0.0028850545155971, 0.047319804654560156, -0.056733757076371044, -0.24091611217914355, 0.014773906130560337, -0.024598674053171028, 0.09320952930849874, 0.022049852821510285, -0.2746545378662025, -0.039103670550199844, 0.025884637686734397, 0.07773396225174009, 0.009190420886928527, 0.12387507532872001, -0.17951157603723308, -0.2417959758054672, 0.31239614728838205, -0.020447970756019156, -0.06797996049216534, 0.24983991434176764, -0.20529444919278225, -0.14699209980770117, 0.05674008064023736, 0.23236001311387453, 0.04277748715442916, -0.18114418767961776, 0.15248826663284692, -0.020870202583157353, 0.12570386973351966, 0.022042110736947507, 0.052277001552283764, 0.2177776745779233, 0.23771194303925666, -0.009490103211848892, 0.015342214097876826, -0.13261765701180492, -0.011094936919916008, -0.4474087068811059, -0.10592751648639226, -0.09863580264370991, 0.014964869478717446, -0.020031924039964604, 0.01551308445373757, 0.37590087751030093, 0.1521747807532342, 0.2958481785737806, 0.024429536987251293, 0.23561215683973083, 0.11472358444007114, 0.03784423755334703, 0.036845664064256, 0.35019187971556676, 0.09344514676680167, 0.18688393900972894, -0.19137779452527562, 0.00543036192539148, 0.0056272478541359305]
|
706.2268
|
Gelfand-Shilov spaces, Structural and Kernel theorems
|
It was shown recently that the space isomorphic with an Gelfand Shilov space
is well adapted for the use in quantum field theory with a fundamental length.
It is our believe that all Gelfand Shilov spaces, especially those with
quasianalytic test function spaces, are good domains for the quantum field
theory. The theory requires technical results from the theory of generalized
functions and not merely differential calculus and well defined Fourier
transform, but also the kernel theorem and the structural theorem. In the paper
we give the structural (regularity) theorem and kernel theorem for
Gelfand-Shilov spaces, of Roumieu and Beurling type.
|
quant-ph math.FA
|
it was shown recently that the space isomorphic with an gelfand shilov space is well adapted for the use in quantum field theory with a fundamental length it is our believe that all gelfand shilov spaces especially those with quasianalytic test function spaces are good domains for the quantum field theory the theory requires technical results from the theory of generalized functions and not merely differential calculus and well defined fourier transform but also the kernel theorem and the structural theorem in the paper we give the structural regularity theorem and kernel theorem for gelfandshilov spaces of roumieu and beurling type
|
[['it', 'was', 'shown', 'recently', 'that', 'the', 'space', 'isomorphic', 'with', 'an', 'gelfand', 'shilov', 'space', 'is', 'well', 'adapted', 'for', 'the', 'use', 'in', 'quantum', 'field', 'theory', 'with', 'a', 'fundamental', 'length', 'it', 'is', 'our', 'believe', 'that', 'all', 'gelfand', 'shilov', 'spaces', 'especially', 'those', 'with', 'quasianalytic', 'test', 'function', 'spaces', 'are', 'good', 'domains', 'for', 'the', 'quantum', 'field', 'theory', 'the', 'theory', 'requires', 'technical', 'results', 'from', 'the', 'theory', 'of', 'generalized', 'functions', 'and', 'not', 'merely', 'differential', 'calculus', 'and', 'well', 'defined', 'fourier', 'transform', 'but', 'also', 'the', 'kernel', 'theorem', 'and', 'the', 'structural', 'theorem', 'in', 'the', 'paper', 'we', 'give', 'the', 'structural', 'regularity', 'theorem', 'and', 'kernel', 'theorem', 'for', 'gelfandshilov', 'spaces', 'of', 'roumieu', 'and', 'beurling', 'type']]
|
[-0.0380662546347882, 0.06822738716379384, -0.13492344929329533, 0.17585495289583405, -0.11237076743469011, -0.09783811430622003, -0.02357113293929966, 0.3623338146965102, -0.3146407513851576, -0.1978903121434816, 0.12246679955641601, -0.22966909453752313, -0.21375107208248412, 0.24834507534114442, -0.13629285175131983, 0.07264319174729361, 0.038736135851001684, 0.06366585275517905, -0.09006170742674777, -0.26500735548094356, 0.411502601763252, -0.020854831109570322, 0.27215601799382577, 0.06152070383771811, 0.08643534192631003, 0.08133765398570807, -0.046731900852542405, -0.019421573083428206, -0.16053738435894588, 0.13209136152446344, 0.28882239919414027, 0.10106017090619938, 0.2680351551781215, -0.37954581978887614, -0.1996404878878136, 0.12087104928744312, 0.07214426209615303, 0.012370632039290844, -0.014440340967387846, -0.3166406861331203, 0.0807128925807774, -0.12198663451178644, -0.15675299108462953, -0.1274318568279395, 0.012497966032530559, 0.04856109183908689, -0.26580422724329744, 0.05281027007846872, 0.14698059940111297, 0.06954506563834183, -0.1145141432084844, -0.0766654821103531, -0.006424968525084971, 0.06247635117483021, 0.010109312348252181, 0.09396149446360196, 0.05772722262133023, -0.05141496589167578, -0.13084769267404434, 0.3437839063659015, -0.029098501945338626, -0.24057538237533357, 0.15784591968438708, -0.1794911551630438, -0.1620592561983826, 0.05230651249518931, 0.03847001090018761, 0.1580941752336993, -0.0747390400231032, 0.21992394087160708, -0.08490013724912217, 0.10887193392113884, 0.09732337208870466, 0.1105105475070748, 0.07141469603422845, 0.09186413312459936, 0.09175188803473616, 0.11900855301381412, 0.011053658616129714, -0.09935684910673408, -0.3563771311304357, -0.20269455129077824, -0.18448636851545497, 0.0417764440634447, -0.12278002333561636, -0.2310015926017117, 0.3451738293089046, 0.07555322154508073, 0.12037792921730198, 0.10036770517172494, 0.2133100861568225, 0.15438448630923424, 0.07143513005374387, 0.06134926250186002, 0.16258118035142669, 0.2665125989472715, 0.10779168108238442, -0.09996041869237503, -0.019203595803257558, 0.20068423791170711]
|
706.2269
|
Topological objects in QCD
|
Topological excitations are prominent candidates for explaining
nonperturbative effects in QCD like confinement. In these lectures, I cover
both formal treatments and applications of topological objects. The typical
phenomena like BPS bounds, topology, the semiclassical approximation and chiral
fermions are introduced by virtue of kinks. Then I proceed in higher dimensions
with magnetic monopoles and instantons and special emphasis on calorons.
Analytical aspects are discussed and an overview over models based on these
objects as well as lattice results is given.
|
hep-th hep-lat hep-ph
|
topological excitations are prominent candidates for explaining nonperturbative effects in qcd like confinement in these lectures i cover both formal treatments and applications of topological objects the typical phenomena like bps bounds topology the semiclassical approximation and chiral fermions are introduced by virtue of kinks then i proceed in higher dimensions with magnetic monopoles and instantons and special emphasis on calorons analytical aspects are discussed and an overview over models based on these objects as well as lattice results is given
|
[['topological', 'excitations', 'are', 'prominent', 'candidates', 'for', 'explaining', 'nonperturbative', 'effects', 'in', 'qcd', 'like', 'confinement', 'in', 'these', 'lectures', 'i', 'cover', 'both', 'formal', 'treatments', 'and', 'applications', 'of', 'topological', 'objects', 'the', 'typical', 'phenomena', 'like', 'bps', 'bounds', 'topology', 'the', 'semiclassical', 'approximation', 'and', 'chiral', 'fermions', 'are', 'introduced', 'by', 'virtue', 'of', 'kinks', 'then', 'i', 'proceed', 'in', 'higher', 'dimensions', 'with', 'magnetic', 'monopoles', 'and', 'instantons', 'and', 'special', 'emphasis', 'on', 'calorons', 'analytical', 'aspects', 'are', 'discussed', 'and', 'an', 'overview', 'over', 'models', 'based', 'on', 'these', 'objects', 'as', 'well', 'as', 'lattice', 'results', 'is', 'given']]
|
[-0.10953921593300263, 0.21113909993850322, -0.049891885887417525, 0.14783143996186324, -0.0932292406918642, -0.1414545769429547, 0.00045683848338178647, 0.36358963249734155, -0.1312591027882364, -0.28819317610957373, 0.11040097177977225, -0.3064575173150472, -0.1867237725916008, 0.17697284445396544, -0.056653624653448295, 0.04993695713418685, -0.018691108182624535, 0.013177123932558814, -0.06865086997456757, -0.2493417318565426, 0.3349429254454595, 0.0064098934045084465, 0.2594871591017754, 0.11671914228376139, 0.020422469163428485, -0.021120568379518336, -0.0428560374557604, 0.05241589256803746, -0.16784863626975335, 0.08066074387745265, 0.2501103350636927, -0.004318596727651671, 0.13127043906507302, -0.4930922043406301, -0.2332824044131507, 0.0012937566426433162, 0.1719315722297279, 0.12385931155747837, -0.055281639722877265, -0.33310654521402383, 0.06142171020447104, -0.1468585059851592, -0.11658844442026299, -0.1547774191741705, 0.033867669176816204, 0.058137812847156585, -0.17633310876165828, 0.019914416941227735, 0.04381805560177905, 0.11536504601611307, -0.07952340515215456, -0.17025447121740858, -0.015486654358410082, 0.08082760227154251, 0.09425687127355716, -0.011674654213740364, 0.10170770535406506, -0.22118691165276147, -0.20386343714378682, 0.4211204008049803, -0.006879329991837342, -0.1811270667699936, 0.19956703491819403, -0.09342934180591485, -0.16403241975830846, 0.06568223535353433, 0.1464874358153557, 0.15414576755583653, -0.06927468692653893, 0.13120420765416282, 0.006231817198388371, 0.056411334381001876, 0.05477991300623542, 0.13829934684973624, 0.29839269665679263, 0.14607749330914682, -0.013057607496272267, 0.09495165285562383, -0.023703271804814352, -0.1667750971449286, -0.3795989846557747, -0.10661136567086717, -0.15039426297593264, 0.04463084547975917, -0.06577584165759977, -0.1770929570387428, 0.3933983017391537, 0.133198966182708, 0.20525906989235937, -0.032730881216717356, 0.24004656129033752, 0.10627678131834133, 0.03613599075038952, 0.041258904355704604, 0.18975132475549608, 0.16328161375677605, 0.07190152127037032, -0.17375258558981674, -0.07705329768474639, 0.16268467770337505]
|
706.227
|
Kaon production from 1 to 40 A GeV
|
Kaon production is studied within the Giessen Boltzmann-Uehling-Uhlenbeck
(GiBUU) model. Results are compared with experiment and with other models. The
influence of the kaon potential on the kaon azimuthal distributions at SIS
energies is considered. We also discuss the role of the many-body collisions at
high-density phase of reaction.
|
nucl-th
|
kaon production is studied within the giessen boltzmannuehlinguhlenbeck gibuu model results are compared with experiment and with other models the influence of the kaon potential on the kaon azimuthal distributions at sis energies is considered we also discuss the role of the manybody collisions at highdensity phase of reaction
|
[['kaon', 'production', 'is', 'studied', 'within', 'the', 'giessen', 'boltzmannuehlinguhlenbeck', 'gibuu', 'model', 'results', 'are', 'compared', 'with', 'experiment', 'and', 'with', 'other', 'models', 'the', 'influence', 'of', 'the', 'kaon', 'potential', 'on', 'the', 'kaon', 'azimuthal', 'distributions', 'at', 'sis', 'energies', 'is', 'considered', 'we', 'also', 'discuss', 'the', 'role', 'of', 'the', 'manybody', 'collisions', 'at', 'highdensity', 'phase', 'of', 'reaction']]
|
[-0.01577207859966676, 0.21691741258837283, -0.1103234793474109, 0.1196766933853909, 0.06325423791624453, -0.11469004812593363, -0.04124894329555789, 0.3384475790876515, -0.13870226195538227, -0.2355165665170976, -0.062028424443715084, -0.3903229234512059, 0.005456850616907587, 0.141213790983988, 0.13513750591961554, 0.09814713057130575, 0.0887105702707658, 0.030608460050532405, -0.046459597497418216, -0.15200456219478226, 0.3445579956893866, 0.145296923455079, 0.24850937632881864, 0.2123678480560074, 0.03880328797184083, 0.03088666937713112, -0.023823264239080325, -0.06476037491265, -0.16285827535451675, 0.026941214037740756, 0.24701671503172126, 0.033721412189913036, 0.11389535337648525, -0.42780398425636623, -0.2003827722629114, 0.10171181244813667, 0.11644699235389731, 0.14816138558849998, -0.0857112003152962, -0.2910137080720493, 0.04166841126588763, -0.22007166725412317, -0.14097747624832757, -0.04152171154107366, -0.04264908641272662, 0.08586008725117664, -0.31310892584068434, 0.11384306082499632, -0.07165342934277592, 0.058006982951025875, -0.06980830894269961, -0.23228792175270466, -0.031164299335558802, 0.022164919907797356, 0.052389803577727656, 0.060185643336474325, 0.21122706480970493, -0.15121482461168223, -0.13474103134619642, 0.45200631410187603, -0.02035318868120714, -0.18645580439847342, 0.16101388481198525, -0.18704112188662497, -0.15049362886811093, 0.10141886609169293, 0.2277347955814734, 0.06512789329399868, -0.20099283787136785, 0.07808208282994182, -0.024239265473977645, 0.11042864881550932, 0.045179752571204185, 0.04056916564550935, 0.1451728260334657, 0.27771384272800415, -0.0752707408950189, 0.08485023100142919, -0.14153996130394542, -0.20346517497863698, -0.35432857195181505, -0.07191604257998419, -0.09023169901374044, -0.025239610816447103, -0.049248856786645624, -0.05319426339879936, 0.38271695455270155, 0.11031991757015336, 0.20915660224094682, -0.02827796674504572, 0.28282238254133535, 0.08467599774273682, 0.028019591453200092, 0.06642620660820786, 0.31681151271854735, 0.17295575369985736, 0.17243957199270324, -0.31050636700582596, 0.07796187887956597, 0.028951699199269012]
|
706.2271
|
Double quantum dot with integrated charge sensor based on Ge/Si
heterostructure nanowires
|
Coupled electron spins in semiconductor double quantum dots hold promise as
the basis for solid-state qubits. To date, most experiments have used III-V
materials, in which coherence is limited by hyperfine interactions. Ge/Si
heterostructure nanowires seem ideally suited to overcome this limitation: the
predominance of spin-zero nuclei suppresses the hyperfine interaction and
chemical synthesis creates a clean and defect-free system with highly
controllable properties. Here we present a top gate-defined double quantum dot
based on Ge/Si heterostructure nanowires with fully tunable coupling between
the dots and to the leads. We also demonstrate a novel approach to charge
sensing in a one-dimensional nanostructure by capacitively coupling the double
dot to a single dot on an adjacent nanowire. The double quantum dot and
integrated charge sensor serve as an essential building block required to form
a solid-state spin qubit free of nuclear spin.
|
cond-mat.mes-hall cond-mat.mtrl-sci
|
coupled electron spins in semiconductor double quantum dots hold promise as the basis for solidstate qubits to date most experiments have used iiiv materials in which coherence is limited by hyperfine interactions gesi heterostructure nanowires seem ideally suited to overcome this limitation the predominance of spinzero nuclei suppresses the hyperfine interaction and chemical synthesis creates a clean and defectfree system with highly controllable properties here we present a top gatedefined double quantum dot based on gesi heterostructure nanowires with fully tunable coupling between the dots and to the leads we also demonstrate a novel approach to charge sensing in a onedimensional nanostructure by capacitively coupling the double dot to a single dot on an adjacent nanowire the double quantum dot and integrated charge sensor serve as an essential building block required to form a solidstate spin qubit free of nuclear spin
|
[['coupled', 'electron', 'spins', 'in', 'semiconductor', 'double', 'quantum', 'dots', 'hold', 'promise', 'as', 'the', 'basis', 'for', 'solidstate', 'qubits', 'to', 'date', 'most', 'experiments', 'have', 'used', 'iiiv', 'materials', 'in', 'which', 'coherence', 'is', 'limited', 'by', 'hyperfine', 'interactions', 'gesi', 'heterostructure', 'nanowires', 'seem', 'ideally', 'suited', 'to', 'overcome', 'this', 'limitation', 'the', 'predominance', 'of', 'spinzero', 'nuclei', 'suppresses', 'the', 'hyperfine', 'interaction', 'and', 'chemical', 'synthesis', 'creates', 'a', 'clean', 'and', 'defectfree', 'system', 'with', 'highly', 'controllable', 'properties', 'here', 'we', 'present', 'a', 'top', 'gatedefined', 'double', 'quantum', 'dot', 'based', 'on', 'gesi', 'heterostructure', 'nanowires', 'with', 'fully', 'tunable', 'coupling', 'between', 'the', 'dots', 'and', 'to', 'the', 'leads', 'we', 'also', 'demonstrate', 'a', 'novel', 'approach', 'to', 'charge', 'sensing', 'in', 'a', 'onedimensional', 'nanostructure', 'by', 'capacitively', 'coupling', 'the', 'double', 'dot', 'to', 'a', 'single', 'dot', 'on', 'an', 'adjacent', 'nanowire', 'the', 'double', 'quantum', 'dot', 'and', 'integrated', 'charge', 'sensor', 'serve', 'as', 'an', 'essential', 'building', 'block', 'required', 'to', 'form', 'a', 'solidstate', 'spin', 'qubit', 'free', 'of', 'nuclear', 'spin']]
|
[-0.13479513104952184, 0.1901316683302247, 0.04495971664540298, -0.021147546797647333, 0.018399967909427294, -0.2864917923650103, 0.04091711185545601, 0.4498371059233521, -0.23975115007611902, -0.29720907705565186, -0.04670764463260136, -0.28549635763683007, -0.09669391470399837, 0.2438958209034399, 0.019755720870952446, 0.08339145621912329, 0.040661415496365504, -0.08187161635191358, -0.06528085869644498, -0.15131731536602666, 0.26362834887482894, 0.035560581695242184, 0.3215443845871334, 0.09351240094513336, 0.07709757784209775, 0.028423485899317667, 0.17034230922684834, -0.05656698657239371, -0.11220626052260954, 0.11892982761553944, 0.2746538630763485, -0.12760722487900697, 0.21837925049476326, -0.5341738073142074, -0.1399687883049474, 0.0027390564164371353, 0.19634961464990539, 0.17519519911626524, -0.14102935844682263, -0.2995421114057329, 0.037936251361174046, -0.1867987338275193, -0.07061175214199363, -0.06340064298269069, -0.04283553435209584, 0.007020158742732824, -0.25304525563615565, 0.020473692712914, 0.04031920522709, -0.024658412649461354, 0.006059266050537744, -0.043262602436911074, 0.02088145221788304, 0.1004706772889757, -0.11198944393842619, 0.033515106165841066, 0.26634894648619684, -0.07421610908787565, -0.1993242360433524, 0.3474009202542246, -0.05912299817989428, -0.17560718836038247, 0.14806988267995852, -0.14603326228985575, -0.07262084985825609, 0.06419320539934627, 0.11906969488775093, 0.12092129105424627, -0.19393722079892425, 0.10493037296980884, 0.04228395676398848, 0.21618162490347406, 0.002926251621494162, 0.1699038540667042, 0.30050551075263754, 0.24006391296506668, 0.055360157893151574, 0.1278462430614159, -0.1296876413881422, -0.08682613923538027, -0.21510615398288302, -0.21494140949906082, -0.24994792412728706, 0.1503656703668336, -0.04036858490567509, -0.22340803650861724, 0.3913413289297002, 0.11467182360909853, 0.13602705964412382, -0.11216294093978928, 0.25537287141691817, 0.0873321156720928, 0.13591026975145787, -0.03773727780868504, 0.23856968673421663, 0.2782611871891199, 0.048703171384330106, -0.3144127924972815, 0.009100098856427569, -0.05498507371872452]
|
706.2272
|
Expanders and the Affine Building of ${\rm Sp}_n$
|
For $n \geq 2$ and a local field $K$, let $\Delta_n$ denote the affine
building naturally associated to the symplectic group ${\rm Sp}_n(K)$. We
compute the spectral radius of the subgraph $Y_n$ of $\Delta_n$ induced by the
special vertices in $\Delta_n$, from which it follows that $Y_n$ is an analogue
of a family of expanders and is non-amenable.
|
math.CO
|
for n geq 2 and a local field k let delta_n denote the affine building naturally associated to the symplectic group rm sp_nk we compute the spectral radius of the subgraph y_n of delta_n induced by the special vertices in delta_n from which it follows that y_n is an analogue of a family of expanders and is nonamenable
|
[['for', 'n', 'geq', '2', 'and', 'a', 'local', 'field', 'k', 'let', 'delta_n', 'denote', 'the', 'affine', 'building', 'naturally', 'associated', 'to', 'the', 'symplectic', 'group', 'rm', 'sp_nk', 'we', 'compute', 'the', 'spectral', 'radius', 'of', 'the', 'subgraph', 'y_n', 'of', 'delta_n', 'induced', 'by', 'the', 'special', 'vertices', 'in', 'delta_n', 'from', 'which', 'it', 'follows', 'that', 'y_n', 'is', 'an', 'analogue', 'of', 'a', 'family', 'of', 'expanders', 'and', 'is', 'nonamenable']]
|
[-0.20070057894969195, 0.17723402551915537, -0.05089261925272774, -0.011924424057564977, -0.06305760174597565, -0.10964147826624021, -0.014057275577726071, 0.3360578371252734, -0.3492443509269179, -0.22189415138410895, 0.07866252583590451, -0.33193789099408477, -0.11710312546296209, 0.13879293182113192, -0.09840472849706809, -0.06030890775288929, -0.010739612515623631, 0.13982633975530534, -0.08178230803541578, -0.18599621420154316, 0.3345133383807383, -0.023426995424782496, 0.18499008389680008, 0.007163720017527802, 0.10079527421642029, -0.009267703515657207, 0.02625852878810021, 0.0004146286988990349, -0.21499594518561999, 0.11752042850773585, 0.27017793357535674, 0.1040571299626639, 0.23560292129976707, -0.32179530579269977, -0.14084447730790106, 0.27930614154524447, 0.19043923474913627, -0.050627424804444765, 0.005610987106991703, -0.24018808957516102, 0.14540795692683836, -0.11912440621343098, -0.1590486777570556, 0.0045568388641664855, 0.11415178177821074, 0.010968451077739397, -0.3314045666667976, 0.004944094530257739, 0.1510273809789827, 0.0572359476467235, 0.06571863280004707, -0.18331070702621027, -0.056561103221355824, 0.07460595624880832, -0.029570960170148236, 0.1285725485026967, 0.05120952889780726, -0.08067464795813226, -0.086980509767799, 0.3758135569851698, -0.08604397495653023, -0.1306000321637839, 0.020248773597638336, -0.18953977366745994, -0.1676850615543101, 0.1275185222692559, 0.10245291101174396, 0.16934172363069497, -0.03337440868480164, 0.2262067013285368, -0.10999168389223582, 0.09591905162424634, 0.07126640842149132, -0.023074065931468157, 0.1059357470979816, 0.0848203848826846, 0.15432087644085027, 0.13218906636170127, 0.0003317171991639362, 0.004114644536585139, -0.37689380020948876, -0.14885411561842551, -0.2490163698073542, 0.19874889404398569, -0.2132402726468475, -0.15689204116923766, 0.32713938725033875, 0.05735289588930052, 0.24872235198129425, 0.13188753679206824, 0.14891595181012363, 0.06316447405046538, 0.06059799688100292, 0.12756125901809387, 0.022667836013919952, 0.25656687457261507, -0.12515192616142726, -0.20289863025557184, -0.024668065634997266, 0.17974652831949162]
|
706.2273
|
Evolution of Anisotropy of Parton System from Relativistic Heavy-Ion
Collisions
|
Evolution of anisotropy in momentum and coordinate space of the parton system
produced in relativistic heavy-ion collisions is discussed within the
free-streaming approximation. The momentum distribution evolves from the
prolate shape - elongated along the beam - to the oblate one - squeezed along
the beam. At the same time the eccentricity in the coordinate space, which
occurs at finite values of impact parameter, decreases. It is argued that the
parton system reaches local thermodynamic equilibrium before the momentum
distribution becomes oblate.
|
nucl-th hep-ph
|
evolution of anisotropy in momentum and coordinate space of the parton system produced in relativistic heavyion collisions is discussed within the freestreaming approximation the momentum distribution evolves from the prolate shape elongated along the beam to the oblate one squeezed along the beam at the same time the eccentricity in the coordinate space which occurs at finite values of impact parameter decreases it is argued that the parton system reaches local thermodynamic equilibrium before the momentum distribution becomes oblate
|
[['evolution', 'of', 'anisotropy', 'in', 'momentum', 'and', 'coordinate', 'space', 'of', 'the', 'parton', 'system', 'produced', 'in', 'relativistic', 'heavyion', 'collisions', 'is', 'discussed', 'within', 'the', 'freestreaming', 'approximation', 'the', 'momentum', 'distribution', 'evolves', 'from', 'the', 'prolate', 'shape', 'elongated', 'along', 'the', 'beam', 'to', 'the', 'oblate', 'one', 'squeezed', 'along', 'the', 'beam', 'at', 'the', 'same', 'time', 'the', 'eccentricity', 'in', 'the', 'coordinate', 'space', 'which', 'occurs', 'at', 'finite', 'values', 'of', 'impact', 'parameter', 'decreases', 'it', 'is', 'argued', 'that', 'the', 'parton', 'system', 'reaches', 'local', 'thermodynamic', 'equilibrium', 'before', 'the', 'momentum', 'distribution', 'becomes', 'oblate']]
|
[-0.14913876522096653, 0.2505259906189351, -0.18594638984414597, 0.09200587068519354, -0.0036194014917068844, -0.042044591329567414, -0.08084999327842571, 0.37806010019930103, -0.2695026915473274, -0.23599994062339957, -0.035207312929891994, -0.2762614960628974, 0.07294166964019023, 0.10358641606673033, 0.06289146091682907, 0.05997006180626193, 0.07877071592603115, 0.010122397885056613, -0.11963814499057075, -0.19044862351604278, 0.3318611294903521, 0.15110275317926572, 0.2808082613716774, 0.005312331533648923, 0.12292690577922695, 0.08519332729798706, 0.04122111804877655, -0.006551659358385361, -0.12803474546432617, -0.038377026051409614, 0.18011267221520974, 0.05204825323735234, 0.22067006286882052, -0.37163842389289337, -0.14165483583707975, 0.07131093463424264, 0.21838898953238997, 0.1386528100532515, -0.0021572469533244266, -0.22249096147480268, -0.02755566227803879, -0.2141087430682552, -0.27921600453555584, -0.01088557470165476, 0.05709802797889408, 0.046056718176490145, -0.2344298617607808, 0.1425321100491889, 0.041643076291148655, 0.024897934276539878, -0.08341930442360006, -0.14052348784053156, -0.15050424994971556, 0.002390529323793665, 0.09949647390601944, 0.10733380285386421, 0.23057239966561335, -0.1309624921804577, 0.01978781945484726, 0.4243456345475927, 0.02027543363621152, -0.18461778687159944, 0.07136243493944595, -0.2389386735762222, -0.0953893967951306, 0.2064253867020288, 0.20049163972652412, 0.09085351083710601, -0.0753049797649625, 0.06934586602271994, 0.0190726404160827, 0.14205894094620702, 0.12503778662450046, 0.026402977195014304, 0.2617391143937277, 0.1605435180701787, 0.04807838577116969, 0.1342159315259962, -0.13245197026577743, -0.20852391961726208, -0.31102272348266236, -0.0944153081177722, -0.20965775628161581, 0.01979292109697067, -0.12855850931686566, -0.13413742953274824, 0.36119444678903, 0.10296247145632588, 0.2398611411475871, -0.019905308047840017, 0.3310180702069892, 0.1233500547919281, 0.03906459356893938, 0.12329514479099572, 0.3050970073930825, 0.1127621834932626, 0.17542344260418527, -0.2958923930514462, 0.08338238649612552, 0.03576791339223804]
|
706.2274
|
Consistent reasoning about a continuum of hypotheses on the basis of
finite evidence
|
In the modern Bayesian view classical probability theory is simply an
extension of conventional logic, i.e., a quantitative tool that allows for
consistent reasoning in the presence of uncertainty. Classical theory
presupposes, however, that--at least in principle--the amount of evidence that
an experimenter can accumulate always matches the size of the hypothesis space.
I investigate how the framework for consistent reasoning must be modified in
non-classical situations where hypotheses form a continuum, yet the maximum
evidence accessible through experiment is not allowed to exceed some finite
upper bound. Invoking basic consistency requirements pertaining to the
preparation and composition of systems, as well as to the continuity of
probabilities, I show that the modified theory must have an internal symmetry
isomorphic to the unitary group. It thus appears that the only consistent
algorithm for plausible reasoning about a continuum of hypotheses on the basis
of finite evidence is furnished by quantum theory in complex Hilbert space.
|
quant-ph math.ST stat.TH
|
in the modern bayesian view classical probability theory is simply an extension of conventional logic ie a quantitative tool that allows for consistent reasoning in the presence of uncertainty classical theory presupposes however thatat least in principlethe amount of evidence that an experimenter can accumulate always matches the size of the hypothesis space i investigate how the framework for consistent reasoning must be modified in nonclassical situations where hypotheses form a continuum yet the maximum evidence accessible through experiment is not allowed to exceed some finite upper bound invoking basic consistency requirements pertaining to the preparation and composition of systems as well as to the continuity of probabilities i show that the modified theory must have an internal symmetry isomorphic to the unitary group it thus appears that the only consistent algorithm for plausible reasoning about a continuum of hypotheses on the basis of finite evidence is furnished by quantum theory in complex hilbert space
|
[['in', 'the', 'modern', 'bayesian', 'view', 'classical', 'probability', 'theory', 'is', 'simply', 'an', 'extension', 'of', 'conventional', 'logic', 'ie', 'a', 'quantitative', 'tool', 'that', 'allows', 'for', 'consistent', 'reasoning', 'in', 'the', 'presence', 'of', 'uncertainty', 'classical', 'theory', 'presupposes', 'however', 'thatat', 'least', 'in', 'principlethe', 'amount', 'of', 'evidence', 'that', 'an', 'experimenter', 'can', 'accumulate', 'always', 'matches', 'the', 'size', 'of', 'the', 'hypothesis', 'space', 'i', 'investigate', 'how', 'the', 'framework', 'for', 'consistent', 'reasoning', 'must', 'be', 'modified', 'in', 'nonclassical', 'situations', 'where', 'hypotheses', 'form', 'a', 'continuum', 'yet', 'the', 'maximum', 'evidence', 'accessible', 'through', 'experiment', 'is', 'not', 'allowed', 'to', 'exceed', 'some', 'finite', 'upper', 'bound', 'invoking', 'basic', 'consistency', 'requirements', 'pertaining', 'to', 'the', 'preparation', 'and', 'composition', 'of', 'systems', 'as', 'well', 'as', 'to', 'the', 'continuity', 'of', 'probabilities', 'i', 'show', 'that', 'the', 'modified', 'theory', 'must', 'have', 'an', 'internal', 'symmetry', 'isomorphic', 'to', 'the', 'unitary', 'group', 'it', 'thus', 'appears', 'that', 'the', 'only', 'consistent', 'algorithm', 'for', 'plausible', 'reasoning', 'about', 'a', 'continuum', 'of', 'hypotheses', 'on', 'the', 'basis', 'of', 'finite', 'evidence', 'is', 'furnished', 'by', 'quantum', 'theory', 'in', 'complex', 'hilbert', 'space']]
|
[-0.08186848175772016, 0.11770485825639504, -0.12874866970401677, 0.12296265479470153, -0.10170451345883551, -0.13368731321947228, 0.06512281768354437, 0.3400759479751991, -0.2538372390032295, -0.30005631644519104, 0.09370753012011729, -0.21631005149674526, -0.11875869351168794, 0.1842138516626531, -0.09346379243333133, 0.043315383146006255, 0.037431189623631296, 0.09140792057639169, -0.05622861991043113, -0.2018183702257492, 0.3013369190371445, 0.060296236110040015, 0.28156757878680383, 0.04003101412146803, 0.08372758677916511, 0.0220890159636075, -0.0002777344427041469, 0.04022617014087436, -0.10001766640456364, 0.11518247007061877, 0.26030625073359376, 0.18979661413318208, 0.286606254958127, -0.4499574724765074, -0.22104516079378944, 0.10123542517633928, 0.14177706905888512, 0.0876018802791218, 0.003044328129579944, -0.2671946125578195, 0.08259672713315776, -0.1664241902695428, -0.1531824930405785, -0.08807295164245466, 0.023082627560342513, -0.04792689927177684, -0.2558926704099342, 0.05409242758046715, 0.1024054410664605, 0.07396756673002645, -0.06599948829858594, -0.07124347586575294, -0.005110160998939987, 0.08940158125403667, 0.014424866902071141, 0.016920015275959047, 0.0993840470917583, -0.12305018953798759, -0.13811074435831078, 0.37378067550880295, -0.05685532286485297, -0.19166186047087033, 0.18032918336590933, -0.12883156735089518, -0.16830819216106208, 0.11460193624990361, 0.09399478516481335, 0.09249677697887584, -0.13282349544066574, 0.11683785387337388, -0.07703391338938907, 0.2166150024896788, 0.035761581655711895, 0.054838980187571815, 0.21562409118125817, 0.12383627379313111, 0.06331958559852453, 0.07699118635181577, -0.008066431475022147, -0.1511837053758603, -0.3811188427430968, -0.1702850942368499, -0.17364477177240675, 0.05307708238861749, -0.08487047424770877, -0.1395047524042668, 0.2923928525877155, 0.17799992676328627, 0.16619669013326208, 0.055256510266072804, 0.2660254361288201, 0.1259090799845815, 0.0647538313153951, 0.043853480486019, 0.21936871779335274, 0.15352326624485996, 0.0010705638736967118, -0.1815852902964839, 0.11462459025844451, 0.038130060032070166]
|
706.2275
|
A dust component 2 kpc above the plane in NGC 891
|
The halo of NGC 891 has been the subject of studies for more than a decade.
One of its most striking features is the large asymmetry in H$\alpha$ emission.
In this letter, we will take a quantitative look at this asymmetry at different
wavelengths for the first time. We suggest that NGC 891 is intrinsically almost
symmetric and the large asymmetry in H$\alpha$ emission is mostly due to dust
attenuation. We will quantify the additional optical depth needed to cause the
observed asymmetry in this model. By comparing large strips on the North East
side of the galaxy with strips covering the same area in the South West we can
quantify and analyze the asymmetry in the different wavelengths. From the 24
$\mu$m emission we find that the intrinsic asymmetry in star formation in NGC
891 is small i.e., $\sim 30%$. The additional asymmetry in H$\alpha$ is modeled
as additional symmetric dust attenuation which extends up to $\sim$ 40\arcsec
(1.9 kpc) above the plane of the galaxy with a mid-plane value of $\tau$=0.8
and a scale height of 0.5 kpc
|
astro-ph
|
the halo of ngc 891 has been the subject of studies for more than a decade one of its most striking features is the large asymmetry in halpha emission in this letter we will take a quantitative look at this asymmetry at different wavelengths for the first time we suggest that ngc 891 is intrinsically almost symmetric and the large asymmetry in halpha emission is mostly due to dust attenuation we will quantify the additional optical depth needed to cause the observed asymmetry in this model by comparing large strips on the north east side of the galaxy with strips covering the same area in the south west we can quantify and analyze the asymmetry in the different wavelengths from the 24 mum emission we find that the intrinsic asymmetry in star formation in ngc 891 is small ie sim 30 the additional asymmetry in halpha is modeled as additional symmetric dust attenuation which extends up to sim 40arcsec 19 kpc above the plane of the galaxy with a midplane value of tau08 and a scale height of 05 kpc
|
[['the', 'halo', 'of', 'ngc', '891', 'has', 'been', 'the', 'subject', 'of', 'studies', 'for', 'more', 'than', 'a', 'decade', 'one', 'of', 'its', 'most', 'striking', 'features', 'is', 'the', 'large', 'asymmetry', 'in', 'halpha', 'emission', 'in', 'this', 'letter', 'we', 'will', 'take', 'a', 'quantitative', 'look', 'at', 'this', 'asymmetry', 'at', 'different', 'wavelengths', 'for', 'the', 'first', 'time', 'we', 'suggest', 'that', 'ngc', '891', 'is', 'intrinsically', 'almost', 'symmetric', 'and', 'the', 'large', 'asymmetry', 'in', 'halpha', 'emission', 'is', 'mostly', 'due', 'to', 'dust', 'attenuation', 'we', 'will', 'quantify', 'the', 'additional', 'optical', 'depth', 'needed', 'to', 'cause', 'the', 'observed', 'asymmetry', 'in', 'this', 'model', 'by', 'comparing', 'large', 'strips', 'on', 'the', 'north', 'east', 'side', 'of', 'the', 'galaxy', 'with', 'strips', 'covering', 'the', 'same', 'area', 'in', 'the', 'south', 'west', 'we', 'can', 'quantify', 'and', 'analyze', 'the', 'asymmetry', 'in', 'the', 'different', 'wavelengths', 'from', 'the', '24', 'mum', 'emission', 'we', 'find', 'that', 'the', 'intrinsic', 'asymmetry', 'in', 'star', 'formation', 'in', 'ngc', '891', 'is', 'small', 'ie', 'sim', '30', 'the', 'additional', 'asymmetry', 'in', 'halpha', 'is', 'modeled', 'as', 'additional', 'symmetric', 'dust', 'attenuation', 'which', 'extends', 'up', 'to', 'sim', '40arcsec', '19', 'kpc', 'above', 'the', 'plane', 'of', 'the', 'galaxy', 'with', 'a', 'midplane', 'value', 'of', 'tau08', 'and', 'a', 'scale', 'height', 'of', '05', 'kpc']]
|
[-0.08025665164342431, 0.08025847860305003, -0.06659602114733038, 0.0876370910802263, -0.056993607667082266, -0.0619005579176208, -0.022405001957895618, 0.42856774502043615, -0.20558675095327095, -0.32287758624528445, 0.06682037576635019, -0.3007975271915986, -0.02762392027480476, 0.15626333113733742, -0.036048920604324894, -0.04691632048652231, -0.01317744850644103, -0.08060274675863083, -0.014392497265118294, -0.21918288286119783, 0.2567556264638568, 0.07576572839248738, 0.21175015239726605, 0.07038230594903147, 0.05521222340806736, -0.09160094227096816, -0.07123913979626068, -0.017136120018887452, -0.14196168765851347, 0.0582438560057036, 0.21211739174771907, 0.06602328716043654, 0.2259801204125111, -0.3568282962422922, -0.1761118006325384, 0.0904683574680343, 0.20630852170724306, 0.07230216887709294, -0.025014464144205398, -0.2582809389003048, 0.0749911885463383, -0.14379512698275126, -0.18039137604204136, 0.1302052607275962, 0.08154228483664923, -0.016538355322606738, -0.21890174099224666, 0.14485503252408358, 0.011706139219212007, 0.11793274768009032, -0.05713190215798459, -0.11649806987410984, -0.03955418733078674, 0.07060658636206356, 0.03666463264917133, 0.0950691992281702, 0.1566114059633799, -0.12179059795541013, -0.019596645483674284, 0.38895607108507807, -0.08558302804967194, -0.020949745587497303, 0.18577262832569844, -0.25648873177351816, -0.1492332105847419, 0.15663063122667165, 0.16662753748514966, 0.07187577940565248, -0.1313888639186941, 0.024383797797090868, -0.08655697575350182, 0.2271277514330564, 0.08938125111604911, 0.04869729886888318, 0.2762970429423718, 0.13081163285994726, 0.06733510532031388, 0.1536017085149801, -0.2735737826787039, -0.06441615305466358, -0.2716412227139054, -0.08778800170441996, -0.10434429271877665, 0.08306965873805629, -0.13623706499407623, -0.07656178983805087, 0.3939387874428037, 0.15391347619741322, 0.2580842412227775, 0.013329037945774806, 0.3097690461390761, 0.06424789137646618, 0.1568863480299836, 0.09361562794126445, 0.31515331994013746, 0.13344318069831088, 0.11334275805219675, -0.2209812996410843, 0.08836591774701823, -0.06683104944691146]
|
706.2276
|
Heavy Flavor Production in DGLAP improved Saturation Model
|
The saturation model with DGLAP evolution is shown to give good description
of the production of the charm and beauty quarks in deep inelastic scattering.
The modifications of saturation properties caused by the presence of heavy
quarks are also discussed.
|
hep-ph
|
the saturation model with dglap evolution is shown to give good description of the production of the charm and beauty quarks in deep inelastic scattering the modifications of saturation properties caused by the presence of heavy quarks are also discussed
|
[['the', 'saturation', 'model', 'with', 'dglap', 'evolution', 'is', 'shown', 'to', 'give', 'good', 'description', 'of', 'the', 'production', 'of', 'the', 'charm', 'and', 'beauty', 'quarks', 'in', 'deep', 'inelastic', 'scattering', 'the', 'modifications', 'of', 'saturation', 'properties', 'caused', 'by', 'the', 'presence', 'of', 'heavy', 'quarks', 'are', 'also', 'discussed']]
|
[-0.024523406327352858, 0.23677388806827365, -0.13498183561023325, 0.17111443527101072, -0.023366130096837877, -0.06574088698253036, -0.013441246328875422, 0.3148747205734253, -0.2495897708577104, -0.25926676727831366, -0.03041057949012611, -0.34479133908171206, -0.0195773143786937, 0.0773510798404459, 0.034008516813628376, 0.10330405321437866, 0.10211340005043894, -0.008746206189971416, -0.021701617841608824, -0.2915349505841732, 0.34037271633278576, 0.042831158549961404, 0.2458604703657329, 0.24710865132510662, 0.059220217168331146, 0.06412269356660545, -0.044901847063738384, -0.06082882722839713, -0.05397579614073038, 0.07224666960537433, 0.18602651271503418, 0.03340232989867218, 0.10546943354420364, -0.4353203172329813, -0.17129208653932437, 0.036604162049479784, 0.13697274983860552, 0.11141542820259928, -0.08328739369753749, -0.2674656327289995, 0.11508863010021742, -0.18196640154346824, -0.19336164511041715, -0.142032731405925, -0.03236402361653745, 0.028052582871168852, -0.27387579655041916, 0.08857252466768842, 0.013651479221880435, 0.017107594275148585, -0.01788146931794472, -0.20383312969934195, -0.08672360512427986, 0.0018405315466225147, 0.15938653016055468, 0.05964278919855133, 0.10698550655506552, -0.29721162646310406, -0.1361699459142983, 0.4073353657498956, -0.07030137563124299, -0.1368184830993414, 0.16658250689506532, -0.18741217911010608, -0.08319740408333018, 0.1391877304413356, 0.2204706913791597, 0.08148438574280589, -0.23461132526863365, 0.0905995910972706, -0.025906004826538265, 0.13647140142857098, 0.0717399510438554, 0.11046112970507238, 0.1604653403162956, 0.2866241538897157, -0.10178757428657263, 0.08330122178886086, -0.05814648170489818, -0.14291348960250616, -0.3897535906173289, -0.04655965599231422, -0.03790004192851484, 0.052275851275771855, -0.07847290419704223, -0.12354751732418663, 0.3712425105739385, 0.08993663673754781, 0.2500491291284561, -0.04420472164638341, 0.28963496079668405, 0.13660377890337258, 0.05599175423849374, 0.1018382788170129, 0.32090842749457804, 0.24898235612199643, 0.15792238905560224, -0.33994652518304064, 0.09459192003123462, 0.05851784633123316]
|
706.2277
|
Narrow bandwidth interference filter-stabilized diode laser systems for
the manipulation of neutral atoms
|
We present and investigate different external cavity diode laser (ECDL)
configurations for the manipulation of neutrals atoms, wavelength-stabilized by
a narrow-band high transmission interference filter. A novel diode laser,
providing high output power of more than 1 W, with a linewidth of less than 200
kHz, based on a self-seeded tapered amplifier chip has been developed.
Additionally, we compare the optical and spectral properties of two laser
systems based on common laser diodes, differing in their coating, as well as
one, based on a distributed-feedback (DFB) diode. The linear cavity setup in
all these systems combines a robust and compact design with a high wavelength
tunability and an improved stability of the optical feedback compared to diode
laser setups using diffraction gratings for wavelength discrimination.
|
physics.atom-ph physics.optics
|
we present and investigate different external cavity diode laser ecdl configurations for the manipulation of neutrals atoms wavelengthstabilized by a narrowband high transmission interference filter a novel diode laser providing high output power of more than 1 w with a linewidth of less than 200 khz based on a selfseeded tapered amplifier chip has been developed additionally we compare the optical and spectral properties of two laser systems based on common laser diodes differing in their coating as well as one based on a distributedfeedback dfb diode the linear cavity setup in all these systems combines a robust and compact design with a high wavelength tunability and an improved stability of the optical feedback compared to diode laser setups using diffraction gratings for wavelength discrimination
|
[['we', 'present', 'and', 'investigate', 'different', 'external', 'cavity', 'diode', 'laser', 'ecdl', 'configurations', 'for', 'the', 'manipulation', 'of', 'neutrals', 'atoms', 'wavelengthstabilized', 'by', 'a', 'narrowband', 'high', 'transmission', 'interference', 'filter', 'a', 'novel', 'diode', 'laser', 'providing', 'high', 'output', 'power', 'of', 'more', 'than', '1', 'w', 'with', 'a', 'linewidth', 'of', 'less', 'than', '200', 'khz', 'based', 'on', 'a', 'selfseeded', 'tapered', 'amplifier', 'chip', 'has', 'been', 'developed', 'additionally', 'we', 'compare', 'the', 'optical', 'and', 'spectral', 'properties', 'of', 'two', 'laser', 'systems', 'based', 'on', 'common', 'laser', 'diodes', 'differing', 'in', 'their', 'coating', 'as', 'well', 'as', 'one', 'based', 'on', 'a', 'distributedfeedback', 'dfb', 'diode', 'the', 'linear', 'cavity', 'setup', 'in', 'all', 'these', 'systems', 'combines', 'a', 'robust', 'and', 'compact', 'design', 'with', 'a', 'high', 'wavelength', 'tunability', 'and', 'an', 'improved', 'stability', 'of', 'the', 'optical', 'feedback', 'compared', 'to', 'diode', 'laser', 'setups', 'using', 'diffraction', 'gratings', 'for', 'wavelength', 'discrimination']]
|
[-0.12783626021888678, 0.12467816020392591, -0.059253326773027616, -0.054470744712988, -0.018067356165228112, -0.2736668430321339, 0.052433587670806914, 0.5304527104261422, -0.16372686914250917, -0.30058074266567164, 0.057449441059537594, -0.25227982395388665, -0.03380518640962339, 0.31749932775874773, -0.06349237360090258, 0.09027469761842381, -0.010874149355766994, -0.08961242161908999, 0.007512957353385225, -0.10745175975945688, 0.25024402584700334, 0.11659333577019072, 0.3423708238293447, -0.016850615514305254, 0.1819448379589425, 0.008371467317169111, 0.05060706593306555, -0.0604727600105933, -0.0884732018129134, 0.11157693405966124, 0.20501992012366593, 0.012473430306154994, 0.27821344688474653, -0.4413155112115125, -0.26734688774412196, 0.0019922593473306587, 0.13692710173106, 0.09834693455617995, -0.09193782916354981, -0.2512286664174509, 0.04828706044974106, -0.17408013699065533, -0.07895941032292021, -0.02079835654266419, -0.044865975813609696, 0.09872121041267277, -0.2663509865937334, -0.07441265830740092, 0.0047527938253141095, 0.10128909119615151, -0.0380731487286187, -0.088243545070591, 0.006373735088873805, 0.010424924105586063, -0.1334422412553742, -0.006788617713497051, 0.21662543105307006, -0.12063065589585852, -0.14690861859238677, 0.344475103151654, -0.12866832771748793, -0.09114206026236887, 0.18537501813355653, -0.1558555664734975, 0.038495697097988016, 0.1748232671262456, 0.16028552817372274, 0.13315665190232046, -0.12237078251857911, -0.04118342553931965, 0.03388424040261476, 0.30058549609290613, 0.18829165410152787, 0.17638087096143393, 0.19654228143213737, 0.2535781085551266, 0.04585386594032658, 0.18688597838768, -0.13492956268953182, 0.024516861913951055, -0.21612181965141528, -0.09555979884199557, -0.15344297295650317, 0.04934778310088141, -0.0848915202748744, -0.13590386346162808, 0.4229916682008714, 0.14782500459865155, 0.1203474621025605, -0.017207924899975618, 0.39554138752000945, 0.14721036978223692, 0.06853177448576916, -0.03335918602158105, 0.2866039772625006, 0.17765675597230815, 0.11815932367162238, -0.2534806945271069, -0.04123580897407186, -0.054765507990058755]
|
706.2278
|
MOST photometry and DDO spectroscopy of the eclipsing (white dwarf + red
dwarf) binary V471 Tau
|
The Hyades K2V+WD system 471 Tau is a prototype post-common envelope system
and a likely cataclysmic binary progenitor. We present 10 days of nearly
continuous optical photometry by the MOST (Microvariability & Oscillations of
STars) satellite and partly simultaneous optical spectroscopy from DDO (David
Dunlap Observatory) of the binary. The photometric data indicate that the spot
coverage of the K dwarf component was less than observed in the past,
suggesting that we monitored the star close to a minimum in its activity cycle.
Despite the low spot activity, we still detected seven flare-like events whose
estimated energies are among the highest ever observed in V471 Tau and whose
times of occurrence do not correlate with the binary orbital phase. A detailed
O-C analysis of the times of eclipse over the last ~35 years reveals timing
variations which could be explained in several ways, including perturbations by
an as-yet-undetected third body in the system or by a small orbital
eccentricity inducing slow apsidal motion. The DDO spectra result in improved
determinations of the K dwarf projected rotation velocity, V_K sin i = 92 km
s^-1, and the orbital amplitude, K_K=150.5 km s^-1. The spectra also allow us
to measure changes in H_alpha emission strength and radial velocity (RV)
variations. We measure a larger H_alpha velocity amplitude than found
previously suggesting that the source of the emission in V471 Tau was less
concentrated around the sub-white-dwarf point on the K star than had been
observed in previous studies.
|
astro-ph
|
the hyades k2vwd system 471 tau is a prototype postcommon envelope system and a likely cataclysmic binary progenitor we present 10 days of nearly continuous optical photometry by the most microvariability oscillations of stars satellite and partly simultaneous optical spectroscopy from ddo david dunlap observatory of the binary the photometric data indicate that the spot coverage of the k dwarf component was less than observed in the past suggesting that we monitored the star close to a minimum in its activity cycle despite the low spot activity we still detected seven flarelike events whose estimated energies are among the highest ever observed in v471 tau and whose times of occurrence do not correlate with the binary orbital phase a detailed oc analysis of the times of eclipse over the last 35 years reveals timing variations which could be explained in several ways including perturbations by an asyetundetected third body in the system or by a small orbital eccentricity inducing slow apsidal motion the ddo spectra result in improved determinations of the k dwarf projected rotation velocity v_k sin i 92 km s1 and the orbital amplitude k_k1505 km s1 the spectra also allow us to measure changes in h_alpha emission strength and radial velocity rv variations we measure a larger h_alpha velocity amplitude than found previously suggesting that the source of the emission in v471 tau was less concentrated around the subwhitedwarf point on the k star than had been observed in previous studies
|
[['the', 'hyades', 'k2vwd', 'system', '471', 'tau', 'is', 'a', 'prototype', 'postcommon', 'envelope', 'system', 'and', 'a', 'likely', 'cataclysmic', 'binary', 'progenitor', 'we', 'present', '10', 'days', 'of', 'nearly', 'continuous', 'optical', 'photometry', 'by', 'the', 'most', 'microvariability', 'oscillations', 'of', 'stars', 'satellite', 'and', 'partly', 'simultaneous', 'optical', 'spectroscopy', 'from', 'ddo', 'david', 'dunlap', 'observatory', 'of', 'the', 'binary', 'the', 'photometric', 'data', 'indicate', 'that', 'the', 'spot', 'coverage', 'of', 'the', 'k', 'dwarf', 'component', 'was', 'less', 'than', 'observed', 'in', 'the', 'past', 'suggesting', 'that', 'we', 'monitored', 'the', 'star', 'close', 'to', 'a', 'minimum', 'in', 'its', 'activity', 'cycle', 'despite', 'the', 'low', 'spot', 'activity', 'we', 'still', 'detected', 'seven', 'flarelike', 'events', 'whose', 'estimated', 'energies', 'are', 'among', 'the', 'highest', 'ever', 'observed', 'in', 'v471', 'tau', 'and', 'whose', 'times', 'of', 'occurrence', 'do', 'not', 'correlate', 'with', 'the', 'binary', 'orbital', 'phase', 'a', 'detailed', 'oc', 'analysis', 'of', 'the', 'times', 'of', 'eclipse', 'over', 'the', 'last', '35', 'years', 'reveals', 'timing', 'variations', 'which', 'could', 'be', 'explained', 'in', 'several', 'ways', 'including', 'perturbations', 'by', 'an', 'asyetundetected', 'third', 'body', 'in', 'the', 'system', 'or', 'by', 'a', 'small', 'orbital', 'eccentricity', 'inducing', 'slow', 'apsidal', 'motion', 'the', 'ddo', 'spectra', 'result', 'in', 'improved', 'determinations', 'of', 'the', 'k', 'dwarf', 'projected', 'rotation', 'velocity', 'v_k', 'sin', 'i', '92', 'km', 's1', 'and', 'the', 'orbital', 'amplitude', 'k_k1505', 'km', 's1', 'the', 'spectra', 'also', 'allow', 'us', 'to', 'measure', 'changes', 'in', 'h_alpha', 'emission', 'strength', 'and', 'radial', 'velocity', 'rv', 'variations', 'we', 'measure', 'a', 'larger', 'h_alpha', 'velocity', 'amplitude', 'than', 'found', 'previously', 'suggesting', 'that', 'the', 'source', 'of', 'the', 'emission', 'in', 'v471', 'tau', 'was', 'less', 'concentrated', 'around', 'the', 'subwhitedwarf', 'point', 'on', 'the', 'k', 'star', 'than', 'had', 'been', 'observed', 'in', 'previous', 'studies']]
|
[-0.1424902632444476, 0.14193215676696128, -0.06884819283053124, 0.05192952793101237, -0.06893672842124943, -0.08878480766240197, 0.07477288736166278, 0.4167080740163025, -0.18132146202309135, -0.3515675664956992, 0.09096278271026677, -0.30771671937157713, -0.05900058872939553, 0.2306476948710042, -0.06514661927164221, -0.013892579924383123, 0.12414393431148103, 0.010088897229676756, -0.07753297620705174, -0.24039751975845622, 0.20479190975796277, 0.04842304066599657, 0.11809725719989123, -0.058510276121766465, 0.048895337582507636, -0.06076251028425759, -0.07841142673860305, -0.053360600210726264, -0.13450534276104614, 0.03853315348875792, 0.18763707612057867, 0.10631652497359027, 0.1979078017078185, -0.3201641095103696, -0.22206440936618796, 0.07332474229430469, 0.1696651540347375, 0.006015979983203579, 0.013994883157526299, -0.28319003082142447, 0.06447488298823979, -0.18567713433876634, -0.1771896128775552, 0.05163185477479904, 0.15465975598199294, 0.014563245171060165, -0.20356268167185287, 0.1306124395296744, 0.05376330520945582, 0.1593229211323584, -0.13540810422612898, -0.13399659785451756, -0.07586038699228084, 0.05174851739041818, 0.06133421393363581, 0.10025164208636853, 0.12614835802426871, -0.05832330182699176, -0.04373782416805625, 0.37305344993559025, -0.1299433655357158, 0.01025213892183577, 0.2086944711608036, -0.2503897386704921, -0.147667237984327, 0.2057841344581296, 0.14779872850631365, 0.12614644731074803, -0.17645624669191118, -0.040764937015410396, -0.014266179103287868, 0.24994761695137033, 0.08765538271691184, 0.056856301514199, 0.3063639941867829, 0.10956447511174096, 0.03556412331624112, 0.04945987307243437, -0.2751679547004945, -0.047227582810349604, -0.18921509989741025, -0.07829220415915188, -0.11976163409320482, 0.06284666663371657, -0.09400039344491233, -0.08820102984900587, 0.38901811132673175, 0.10452370752075997, 0.22896382129110862, 0.0003497936408772754, 0.2687799325950133, 0.10454239443254967, 0.11264198605931597, 0.12030035921294863, 0.31838143345278996, 0.1647838809120003, 0.12299531938964113, -0.26290968047493757, 0.11287434453649135, -0.01960526420310392]
|
706.2279
|
Efficient analysis and design of low-loss whispering-gallery-mode
coupled resonator optical waveguide bends
|
Waveguides composed of electromagnetically-coupled optical microcavities
(coupled resonator optical waveguides or CROWs) can be used for light guiding,
slowing and storage. In this paper, we present a two-dimensional analysis of
finite-size straight and curved CROW sections based on a rigorous Muller
boundary integral equations method. We study mechanisms of the coupling of
whispering gallery (WG) modes and guiding light around bends in CROWs composed
of both identical and size-mismatched microdisk resonators. Our accurate
analysis reveals differences in WG modes coupling in the vicinity of bends in
CROWs composed of optically-large and wavelength-scale microcavities. We
propose and discuss possible ways to design low-loss CROW bends and to reduce
bend losses. These include selecting specific bend angles depending on the
azimuthal order of the WG mode and tuning the radius of the microdisk
positioned at the CROW bend.
|
physics.optics
|
waveguides composed of electromagneticallycoupled optical microcavities coupled resonator optical waveguides or crows can be used for light guiding slowing and storage in this paper we present a twodimensional analysis of finitesize straight and curved crow sections based on a rigorous muller boundary integral equations method we study mechanisms of the coupling of whispering gallery wg modes and guiding light around bends in crows composed of both identical and sizemismatched microdisk resonators our accurate analysis reveals differences in wg modes coupling in the vicinity of bends in crows composed of opticallylarge and wavelengthscale microcavities we propose and discuss possible ways to design lowloss crow bends and to reduce bend losses these include selecting specific bend angles depending on the azimuthal order of the wg mode and tuning the radius of the microdisk positioned at the crow bend
|
[['waveguides', 'composed', 'of', 'electromagneticallycoupled', 'optical', 'microcavities', 'coupled', 'resonator', 'optical', 'waveguides', 'or', 'crows', 'can', 'be', 'used', 'for', 'light', 'guiding', 'slowing', 'and', 'storage', 'in', 'this', 'paper', 'we', 'present', 'a', 'twodimensional', 'analysis', 'of', 'finitesize', 'straight', 'and', 'curved', 'crow', 'sections', 'based', 'on', 'a', 'rigorous', 'muller', 'boundary', 'integral', 'equations', 'method', 'we', 'study', 'mechanisms', 'of', 'the', 'coupling', 'of', 'whispering', 'gallery', 'wg', 'modes', 'and', 'guiding', 'light', 'around', 'bends', 'in', 'crows', 'composed', 'of', 'both', 'identical', 'and', 'sizemismatched', 'microdisk', 'resonators', 'our', 'accurate', 'analysis', 'reveals', 'differences', 'in', 'wg', 'modes', 'coupling', 'in', 'the', 'vicinity', 'of', 'bends', 'in', 'crows', 'composed', 'of', 'opticallylarge', 'and', 'wavelengthscale', 'microcavities', 'we', 'propose', 'and', 'discuss', 'possible', 'ways', 'to', 'design', 'lowloss', 'crow', 'bends', 'and', 'to', 'reduce', 'bend', 'losses', 'these', 'include', 'selecting', 'specific', 'bend', 'angles', 'depending', 'on', 'the', 'azimuthal', 'order', 'of', 'the', 'wg', 'mode', 'and', 'tuning', 'the', 'radius', 'of', 'the', 'microdisk', 'positioned', 'at', 'the', 'crow', 'bend']]
|
[-0.1849928346272834, 0.14877744720627864, -0.0334064906704481, -0.08543584384972712, -0.09866529191947646, -0.20598132810382933, 0.026445159970575737, 0.46897404978258744, -0.19535222254969456, -0.2760721133418243, 0.028271208940660236, -0.3085658111712999, -0.13025238396496408, 0.20464131066886088, -0.01808574959480514, 0.09092006263219649, 0.039972313115787174, -0.09236889840017452, 0.0010961522283549937, -0.12065529944892558, 0.2425722986045811, -0.0047576195180968, 0.35435646897940726, 0.061134948074403735, 0.07774517873767764, 0.024770702728656706, 0.0390876410977432, 0.0005703339491177488, -0.15397819018819267, 0.16195758007578898, 0.23597809317763205, -0.057905829483988105, 0.24598971362467165, -0.46017291358223666, -0.1602742659755879, 0.01553207407877953, 0.22565978275680984, 0.1076759274997231, -0.03576176347668041, -0.23864781833081333, 0.012432428508893483, -0.06315279576746333, -0.17884554935412275, -0.015350850585296198, -0.022799003176839538, 0.015212804429164088, -0.21432860961390865, 0.007445577435471393, 0.04160515222767437, 0.039657955789179716, -0.004054579590619715, -0.043852005961040656, -0.014741539591233487, 0.02578621509277986, -0.04044866070185822, -0.042901617887050464, 0.16663028019376927, -0.09083481762403002, -0.11867048766601969, 0.3943575144779903, -0.06308523417467735, -0.1608035912995951, 0.14213300472711798, -0.12718940467608195, 0.007263744836328206, 0.13072476071926456, 0.2749387924257597, 0.10838294407283819, -0.060266084520629155, -0.01061490593754031, 0.020173708661631852, 0.19595417332042148, 0.2054227333774583, 0.10208426645646493, 0.23216654736272715, 0.2096375611498607, -0.0014182066234449545, 0.1827797998700084, -0.08991761265012126, 0.01238424820713354, -0.31006073167340625, -0.14833199896545718, -0.1409067391251921, -0.015511765301710478, -0.11968673350617151, -0.18440782167362393, 0.43343674482570754, 0.08492315415890146, 0.14145306157017196, -0.028666462273233467, 0.28192932674730264, 0.08341648639093532, 0.1238127298032244, 0.07083350403786258, 0.38217586612811794, 0.17665886904147488, 0.04737039611985286, -0.3099656298066731, -0.08771441715459029, 0.014668966467595763]
|
706.228
|
Longitudinal impedance and wake from XFEL undulators. Impact on
current-enhanced SASE schemes
|
In this article we derive longitudinal impedance and wake function for an
undulator setup with arbitrary undulator parameter, taking into account a
finite transverse size of the electron bunch. Earlier studies considered a line
density-distribution of electrons instead. We focus our attention on the
long-wavelength asymptote (compared with resonance wavelength), at large
distance of the electron bunch from the undulator entrance compared to the
overtaking length, and for large vacuum-chamber size compared to the typical
transverse size of the field. These restrictions define a parameter region of
interest for practical applications. We calculate a closed expression for
impedance and wake function that may be evaluated numerically in the most
general case. Such expression allows us to derive an analytical solution for a
Gaussian transverse and longitudinal bunch shape. Finally, we study the
feasibility of current-enhanced SASE schemes (ESASE) recently proposed for
LCLS, that fall well-within our approximations. Numerical estimations presented
in this paper indicate that impedance-induced energy spread is sufficient to
seriously degrade the FEL performance. Our conclusion is in contrast with
results in literature, where wake calculations for the LCLS case are given in
free-space, as if the presence of the undulator were negligible.
|
physics.acc-ph physics.optics
|
in this article we derive longitudinal impedance and wake function for an undulator setup with arbitrary undulator parameter taking into account a finite transverse size of the electron bunch earlier studies considered a line densitydistribution of electrons instead we focus our attention on the longwavelength asymptote compared with resonance wavelength at large distance of the electron bunch from the undulator entrance compared to the overtaking length and for large vacuumchamber size compared to the typical transverse size of the field these restrictions define a parameter region of interest for practical applications we calculate a closed expression for impedance and wake function that may be evaluated numerically in the most general case such expression allows us to derive an analytical solution for a gaussian transverse and longitudinal bunch shape finally we study the feasibility of currentenhanced sase schemes esase recently proposed for lcls that fall wellwithin our approximations numerical estimations presented in this paper indicate that impedanceinduced energy spread is sufficient to seriously degrade the fel performance our conclusion is in contrast with results in literature where wake calculations for the lcls case are given in freespace as if the presence of the undulator were negligible
|
[['in', 'this', 'article', 'we', 'derive', 'longitudinal', 'impedance', 'and', 'wake', 'function', 'for', 'an', 'undulator', 'setup', 'with', 'arbitrary', 'undulator', 'parameter', 'taking', 'into', 'account', 'a', 'finite', 'transverse', 'size', 'of', 'the', 'electron', 'bunch', 'earlier', 'studies', 'considered', 'a', 'line', 'densitydistribution', 'of', 'electrons', 'instead', 'we', 'focus', 'our', 'attention', 'on', 'the', 'longwavelength', 'asymptote', 'compared', 'with', 'resonance', 'wavelength', 'at', 'large', 'distance', 'of', 'the', 'electron', 'bunch', 'from', 'the', 'undulator', 'entrance', 'compared', 'to', 'the', 'overtaking', 'length', 'and', 'for', 'large', 'vacuumchamber', 'size', 'compared', 'to', 'the', 'typical', 'transverse', 'size', 'of', 'the', 'field', 'these', 'restrictions', 'define', 'a', 'parameter', 'region', 'of', 'interest', 'for', 'practical', 'applications', 'we', 'calculate', 'a', 'closed', 'expression', 'for', 'impedance', 'and', 'wake', 'function', 'that', 'may', 'be', 'evaluated', 'numerically', 'in', 'the', 'most', 'general', 'case', 'such', 'expression', 'allows', 'us', 'to', 'derive', 'an', 'analytical', 'solution', 'for', 'a', 'gaussian', 'transverse', 'and', 'longitudinal', 'bunch', 'shape', 'finally', 'we', 'study', 'the', 'feasibility', 'of', 'currentenhanced', 'sase', 'schemes', 'esase', 'recently', 'proposed', 'for', 'lcls', 'that', 'fall', 'wellwithin', 'our', 'approximations', 'numerical', 'estimations', 'presented', 'in', 'this', 'paper', 'indicate', 'that', 'impedanceinduced', 'energy', 'spread', 'is', 'sufficient', 'to', 'seriously', 'degrade', 'the', 'fel', 'performance', 'our', 'conclusion', 'is', 'in', 'contrast', 'with', 'results', 'in', 'literature', 'where', 'wake', 'calculations', 'for', 'the', 'lcls', 'case', 'are', 'given', 'in', 'freespace', 'as', 'if', 'the', 'presence', 'of', 'the', 'undulator', 'were', 'negligible']]
|
[-0.09320022125918369, 0.11113605410807251, -0.07664126746086894, 0.057105804457770366, -0.044277850915616576, -0.1331481692258661, -0.010661155947998754, 0.41552659206484494, -0.1797562492496677, -0.26086337584803054, 0.06099736025131087, -0.23773770813323178, -0.04980823204509522, 0.271781388364769, -0.04386073290140638, 0.06837868696434031, 0.07209099580313226, 0.009558146446943283, -0.030131530338947318, -0.18805101870216037, 0.2806776396795421, 0.10610852280239526, 0.32089544514096097, 0.09785008982902295, 0.08376024967353594, 0.055276139549862005, 0.008988695864957806, 0.026234740832526433, -0.15842128587625523, 0.05467776801976326, 0.2489582672617153, 0.04274137719583355, 0.2615480506817173, -0.43783180091137947, -0.21127322496307133, 0.06033395106297624, 0.17412330534701284, 0.14410790717229247, -0.05433376479317973, -0.23389576759409944, 0.08135588928707875, -0.1939049548469484, -0.16666998079928913, -0.01400627560521427, 0.014205327687025267, 0.059007440128755806, -0.3026298390848464, 0.015664063816841104, 0.023214620283167613, 0.03129889918579322, -0.07161251771613024, -0.10294459791743736, 0.04708314569127795, 0.08555342368291396, 0.09931254467534784, 0.044009521218801015, 0.1194118097020117, -0.11105273396610037, -0.06926673317916299, 0.3527534257032369, -0.03335728848837071, -0.18908362458214947, 0.11744596247414225, -0.1939878114113143, -0.04328893886535968, 0.16095760567603926, 0.20471292124374918, 0.08983113895611543, -0.0979968027977616, 0.06058342515883085, -0.03811444591939155, 0.1697742952505666, 0.12373353235751366, 0.036358197139098165, 0.14887007553449, 0.16855247387368427, 0.037580224940259206, 0.18698062295535287, -0.1461068848282785, -0.0624953642389492, -0.3370697226963545, -0.1091271377879342, -0.1627373782807569, 0.02257069770099693, -0.07711477419575921, -0.15526951439862482, 0.42834216365958316, 0.16622664498963308, 0.17386038084269353, 0.044566069640170194, 0.35041108268043514, 0.1408963255458634, 0.05097990130644144, 0.06279604460651171, 0.2548017723418429, 0.12177472670476785, 0.08653501943489046, -0.2394495531499974, 0.029441600783090844, 0.021805312551901136]
|
706.2281
|
Some questions of Monte-Carlo modeling on nontrivial bundles
|
In this work are considered some questions of Monte-Carlo modeling on
nontrivial bundles. As a basic example is used problem of generation of
straight lines in 3D space, related with modeling of interaction of a solid
body with a flux of particles and with some other tasks. Space of lines used in
given model is example of nontrivial fiber bundle, that is equivalent with
tangent sheaf of a sphere.
|
math-ph math.MP stat.CO
|
in this work are considered some questions of montecarlo modeling on nontrivial bundles as a basic example is used problem of generation of straight lines in 3d space related with modeling of interaction of a solid body with a flux of particles and with some other tasks space of lines used in given model is example of nontrivial fiber bundle that is equivalent with tangent sheaf of a sphere
|
[['in', 'this', 'work', 'are', 'considered', 'some', 'questions', 'of', 'montecarlo', 'modeling', 'on', 'nontrivial', 'bundles', 'as', 'a', 'basic', 'example', 'is', 'used', 'problem', 'of', 'generation', 'of', 'straight', 'lines', 'in', '3d', 'space', 'related', 'with', 'modeling', 'of', 'interaction', 'of', 'a', 'solid', 'body', 'with', 'a', 'flux', 'of', 'particles', 'and', 'with', 'some', 'other', 'tasks', 'space', 'of', 'lines', 'used', 'in', 'given', 'model', 'is', 'example', 'of', 'nontrivial', 'fiber', 'bundle', 'that', 'is', 'equivalent', 'with', 'tangent', 'sheaf', 'of', 'a', 'sphere']]
|
[-0.1409939273085067, 0.06413178462653245, -0.027834008677282196, 0.0199040119111052, -0.0791310299984247, -0.15534540225306284, -0.01963960751891136, 0.41690909776134766, -0.23455039463748317, -0.26958724014811974, 0.10567444436204876, -0.25885070620131667, -0.1543757690022281, 0.22804932676566145, -0.0787853986510764, 0.06325131681059366, 0.06919371043804332, 0.06396691654842562, -0.06196182662877592, -0.1919033034869969, 0.3956283533986172, 0.01744565739552828, 0.2242320864731311, 0.038119955568749836, 0.12857477017340885, -0.026348559914723686, -0.017650235248594614, 0.0548628155889489, -0.10990435223863207, 0.1797468946644348, 0.2512380523561581, 0.10288534027294836, 0.2237818671822332, -0.42994922008095443, -0.24924365853539843, 0.11906177172626274, 0.12793522869047802, 0.03509846541725194, -0.025498570180902985, -0.23848826683841753, 0.02931950564590701, -0.11503838531780934, -0.14023578150764757, -0.029329114984990894, 0.03730193760408008, 0.0572462415025718, -0.21105451547149298, -0.008280783108826996, 0.07458988650351007, 0.10289667959770431, -0.07046938108523255, -0.05269013434324576, -0.06310427480417749, 0.10690139212470123, 0.06304951206666241, 0.07692432572282311, 0.12875787638367384, -0.1397339074123327, -0.14576957337018373, 0.4671889364388704, -0.07928640635657137, -0.25812741692947305, 0.1578980348329397, -0.09730131783104246, -0.13650064872901724, 0.16831668585106946, 0.15769574997703667, 0.15599066057188463, -0.03776565624697917, 0.07401986842539729, -0.11730345464109079, 0.11970438800779158, 0.015925923531092165, -0.010784290191056072, 0.21753680703324685, 0.21635771723653097, 0.02826165714962543, 0.15022107241658386, -0.0787294301427091, -0.09293091633235631, -0.3533950671553612, -0.23290073158610883, -0.1538183687902663, 0.06344967332763085, -0.05271940071627572, -0.1939866614588739, 0.3940939842655823, 0.10916464427567046, 0.24266065472224052, 0.011779630097790041, 0.28395390135330567, 0.06806977152439725, 0.03907548447234043, 0.013751288653229889, 0.18628575697294908, 0.16022375382590984, 0.04536623886340986, -0.11096719249178642, -0.002257078258401674, 0.09428386309224626]
|
706.2282
|
Partition Identities and the Coin Exchange Problem
|
The number of partitions of n into parts divisible by a or b equals the
number of partitions of n in which each part and each difference of two parts
is expressible as a non-negative integer combination of a or b. This
generalizes identities of MacMahon and Andrews. The analogous identities for
three or more integers (in place of a,b) hold in certain cases.
|
math.CO math.NT
|
the number of partitions of n into parts divisible by a or b equals the number of partitions of n in which each part and each difference of two parts is expressible as a nonnegative integer combination of a or b this generalizes identities of macmahon and andrews the analogous identities for three or more integers in place of ab hold in certain cases
|
[['the', 'number', 'of', 'partitions', 'of', 'n', 'into', 'parts', 'divisible', 'by', 'a', 'or', 'b', 'equals', 'the', 'number', 'of', 'partitions', 'of', 'n', 'in', 'which', 'each', 'part', 'and', 'each', 'difference', 'of', 'two', 'parts', 'is', 'expressible', 'as', 'a', 'nonnegative', 'integer', 'combination', 'of', 'a', 'or', 'b', 'this', 'generalizes', 'identities', 'of', 'macmahon', 'and', 'andrews', 'the', 'analogous', 'identities', 'for', 'three', 'or', 'more', 'integers', 'in', 'place', 'of', 'ab', 'hold', 'in', 'certain', 'cases']]
|
[-0.22011744194514904, 0.12659695246838965, -0.04937959156814031, 0.013373198788031004, -0.03262207275838591, -0.16027707738248864, 0.032470695761730894, 0.23277453493210487, -0.2580268132442143, -0.2993234507885063, 0.06816387636536092, -0.3080727648775792, -0.12756273596096435, 0.15715646061653388, -0.019012111399206333, -0.018269652491653687, -0.01640312807285227, 0.09357013492262922, -0.03390374009904917, -0.3120161879051011, 0.3381327569950372, -0.1311871569851064, 0.13043590680899797, 0.006941754363651853, 0.07128527453460265, 0.04968780431613595, -0.059332108561648056, 0.048070293922336305, -0.04628076472727116, 0.11142677714451565, 0.2588345739641227, 0.1362133711518254, 0.3049408917577239, -0.39818926074076444, -0.09067517926450819, 0.16728453865653137, 0.1629240041729645, -0.03438280189038778, 0.01996299423876735, -0.20804148208117113, 0.10315701390209142, -0.14011548511916772, -0.09993847931764321, -0.0055341510160360485, 0.12657004003995098, 0.06163700795150362, -0.35121801507193595, 0.040861744128051214, 0.12462971902641584, 0.06030255340738222, -0.029464397201081738, -0.2583205430491944, 0.0064356469083577394, 0.1437508420967788, 0.023939935035741655, 0.011543771943252068, 0.02461779918667162, -0.12649009859524085, -0.13097783726698253, 0.3719558898737887, 0.02702592997229658, -0.23911801842041314, 0.11549919187109481, -0.17167652132775402, -0.1768983805377502, 0.11949683004786493, 0.10626867643441074, 0.1508010480174562, -0.0546464741055388, 0.11480224020306196, -0.14180562639376149, 0.11072015069657937, 0.18848635640460998, 0.011959805764490739, 0.20943350507877767, 0.03427303646458313, 0.04877502735507733, 0.22392386315914337, 0.017753639149304945, -0.02686740037142954, -0.34320857835700735, -0.22916050352796447, -0.24638608812529128, 0.0868486197286984, -0.11523026794702673, -0.17199264315422624, 0.3891526923835045, 0.06694770863396116, 0.22062522160558729, 0.09686997458811675, 0.2588270843261853, 0.1027605864637735, 0.08864917090795643, 0.017860758503957186, 0.04090746528527234, 0.1552254222369811, 0.013916755764512345, -0.13148070443276083, 0.044735527771990746, 0.15956853165698703]
|
706.2283
|
Search for Supernova Neutrino Bursts at Super-Kamiokande
|
The result of a search for neutrino bursts from supernova explosions using
the Super-Kamiokande detector is reported. Super-Kamiokande is sensitive to
core-collapse supernova explosions via observation of their neutrino emissions.
The expected number of events comprising such a burst is ~10^4 and the average
energy of the neutrinos is in few tens of MeV range in the case of a
core-collapse supernova explosion at the typical distance in our galaxy (10
kiloparsecs); this large signal means that the detection efficiency anywhere
within our galaxy and well past the Magellanic Clouds is 100%. We examined a
data set which was taken from May, 1996 to July, 2001 and from December, 2002
to October, 2005 corresponding to 2589.2 live days. However, there is no
evidence of such a supernova explosion during the data-taking period. The 90%
C.L. upper limit on the rate of core-collapse supernova explosions out to
distances of 100 kiloparsecs is found to be 0.32 SN/year.
|
astro-ph hep-ex
|
the result of a search for neutrino bursts from supernova explosions using the superkamiokande detector is reported superkamiokande is sensitive to corecollapse supernova explosions via observation of their neutrino emissions the expected number of events comprising such a burst is 104 and the average energy of the neutrinos is in few tens of mev range in the case of a corecollapse supernova explosion at the typical distance in our galaxy 10 kiloparsecs this large signal means that the detection efficiency anywhere within our galaxy and well past the magellanic clouds is 100 we examined a data set which was taken from may 1996 to july 2001 and from december 2002 to october 2005 corresponding to 25892 live days however there is no evidence of such a supernova explosion during the datataking period the 90 cl upper limit on the rate of corecollapse supernova explosions out to distances of 100 kiloparsecs is found to be 032 snyear
|
[['the', 'result', 'of', 'a', 'search', 'for', 'neutrino', 'bursts', 'from', 'supernova', 'explosions', 'using', 'the', 'superkamiokande', 'detector', 'is', 'reported', 'superkamiokande', 'is', 'sensitive', 'to', 'corecollapse', 'supernova', 'explosions', 'via', 'observation', 'of', 'their', 'neutrino', 'emissions', 'the', 'expected', 'number', 'of', 'events', 'comprising', 'such', 'a', 'burst', 'is', '104', 'and', 'the', 'average', 'energy', 'of', 'the', 'neutrinos', 'is', 'in', 'few', 'tens', 'of', 'mev', 'range', 'in', 'the', 'case', 'of', 'a', 'corecollapse', 'supernova', 'explosion', 'at', 'the', 'typical', 'distance', 'in', 'our', 'galaxy', '10', 'kiloparsecs', 'this', 'large', 'signal', 'means', 'that', 'the', 'detection', 'efficiency', 'anywhere', 'within', 'our', 'galaxy', 'and', 'well', 'past', 'the', 'magellanic', 'clouds', 'is', '100', 'we', 'examined', 'a', 'data', 'set', 'which', 'was', 'taken', 'from', 'may', '1996', 'to', 'july', '2001', 'and', 'from', 'december', '2002', 'to', 'october', '2005', 'corresponding', 'to', '25892', 'live', 'days', 'however', 'there', 'is', 'no', 'evidence', 'of', 'such', 'a', 'supernova', 'explosion', 'during', 'the', 'datataking', 'period', 'the', '90', 'cl', 'upper', 'limit', 'on', 'the', 'rate', 'of', 'corecollapse', 'supernova', 'explosions', 'out', 'to', 'distances', 'of', '100', 'kiloparsecs', 'is', 'found', 'to', 'be', '032', 'snyear']]
|
[-0.06520290277363859, 0.12524282110646343, -0.02238523416741231, 0.14459597741937047, -0.08537157273540642, -0.01614879868628288, 0.1135527036960128, 0.3563986428190845, -0.18153141559760824, -0.39670266952462396, 0.09465039044984483, -0.3606768028036534, 0.005785216465471433, 0.2500531289109646, -0.0038346187249370307, -0.04549937369301915, 0.17581724779765037, -0.034460357166584826, -0.07548518316871668, -0.3022598810735848, 0.20950299994067542, 0.16320886825628628, 0.18609782408124634, 0.010113549058540276, 0.10615124442545068, -0.12374868921107043, -0.04062777742469085, -0.11887746110449654, -0.11796397410278162, -0.011596099419108072, 0.23012518989348968, 0.1894817316274207, 0.17723723489779059, -0.4014913758033185, -0.2304574037635965, 0.1430903105730457, 0.15435712301934307, 0.05474114322100536, -0.050558762247643926, -0.3259701207748844, 0.06920414807595458, -0.24432473633946342, -0.11667267414862169, 0.14398436585755706, 0.06634585401829478, 0.026244116731610923, -0.2383836647822573, 0.13822283039123498, -0.0314287296277108, 0.06260315314756991, -0.03526229673902831, -0.07718860751090499, 0.0017080144826685647, 0.04270143105721028, 0.08211838208628794, 0.06303252406152231, 0.13019110053451127, -0.07658791192353691, -0.03974967563295036, 0.43602555566285917, -0.016085547978639023, 0.07096710323368187, 0.21057167874993876, -0.19119009994538863, -0.11720310056328097, 0.2087988600304181, 0.1880697781558741, 0.08900666398951759, -0.18394343232639232, -0.005438104321403042, -0.0475716950136007, 0.1820254022400681, 0.07390321575728089, -0.006860910560064511, 0.2731659123220469, 0.21367487480845787, 0.036708162621256306, 0.03480946475733676, -0.2679069101154296, -0.03486691705365484, -0.3093296296338176, -0.0699976863624534, -0.1639683015928785, 0.16785040305467783, -0.0924011595603328, -0.07524309709498828, 0.3782765095533392, 0.10214351270387143, 0.18883713438967847, -0.02535077880133645, 0.22242627864969627, 0.03944396636497559, 0.07285887042679234, 0.1277050358748257, 0.3796736546217573, 0.1304212639580009, 0.15528359110225234, -0.14218126776380247, 0.06821060615482849, 0.023964076862343912]
|
706.2284
|
On advanced fluid modelling of drift wave turbulence
|
The Dupree-Weinstock renormalization is used to prove that a reactive closure
exists for drift wave turbulence in magnetized plasmas. The result is used to
explain recent results in gyrokinetic simulations and is also related to the
Mattor-Parker closure. The level of closure is found in terms of applied
external sources.
|
physics.plasm-ph
|
the dupreeweinstock renormalization is used to prove that a reactive closure exists for drift wave turbulence in magnetized plasmas the result is used to explain recent results in gyrokinetic simulations and is also related to the mattorparker closure the level of closure is found in terms of applied external sources
|
[['the', 'dupreeweinstock', 'renormalization', 'is', 'used', 'to', 'prove', 'that', 'a', 'reactive', 'closure', 'exists', 'for', 'drift', 'wave', 'turbulence', 'in', 'magnetized', 'plasmas', 'the', 'result', 'is', 'used', 'to', 'explain', 'recent', 'results', 'in', 'gyrokinetic', 'simulations', 'and', 'is', 'also', 'related', 'to', 'the', 'mattorparker', 'closure', 'the', 'level', 'of', 'closure', 'is', 'found', 'in', 'terms', 'of', 'applied', 'external', 'sources']]
|
[-0.13689068080081293, 0.1290031566847271, -0.0743686326701815, 0.10640377404827935, -0.037800792953930795, -0.03013106649935556, -0.056745280511677265, 0.3241291617353757, -0.2651204270853971, -0.2306168679303179, 0.04655711149340883, -0.23486193981564915, -0.10147711541503668, 0.2532756883301772, -0.03918686728381241, 0.062222529707166054, 0.04734768250879521, 0.016833636909723282, -0.035293239474412985, -0.18125678261276335, 0.30599467344776105, 0.07066475473887597, 0.27720147743821144, 0.07387431008586039, 0.07469342705250408, -0.10763133286188047, -0.0347690038276293, 0.0822785121272318, -0.14150408607459516, 0.04601066672087958, 0.29841574416301836, 0.07768436571253308, 0.22560839721700177, -0.462452024842302, -0.26447121156282566, 0.025395816279342398, 0.14655199990374967, 0.08391972356669915, -0.033940448158925086, -0.21074676556357494, 0.12060926185222343, -0.18343901387803876, -0.17397798019616553, -0.07933665762539022, 0.05223453157426169, 0.07073390575048204, -0.32856208554585464, 0.05697928595509438, 0.07515086014367019, 0.04444933286868036, -0.06767136002114664, -0.03930114165996201, -0.017146486439742148, 0.05750883412595916, 0.07586332926681887, 0.10226513407845535, 0.12246154384532322, -0.10857504449086264, -0.09758949438886096, 0.4245103817277898, -0.0851389009039849, -0.2380166104218612, 0.22722530997513482, -0.1672962342078487, -0.13168808406529328, 0.14957403568162894, 0.11781004723161459, 0.06300480632732312, -0.09968419786309823, 0.10154232658169349, -0.06908449685791614, 0.14023065795966735, 0.04161106863951621, -0.0568562453360452, 0.1299815456053087, 0.16730865107577605, 0.05914805484159539, 0.11699334549969838, -0.08351426874287426, -0.08070603607726905, -0.3124549550896821, -0.12482143358405058, -0.1525945069734007, 0.02489920049841506, 0.009925634231876757, -0.1627880169241204, 0.37160190296708606, 0.22586334470058014, 0.0933833452872932, -0.030861725395273727, 0.27142732431093464, 0.18021835359589508, 0.047537542142284415, 0.12040235971896134, 0.2780350431470045, 0.23394291665560255, 0.07912903686519712, -0.25223911153928685, 0.07621103127651925, 0.1010734798037447]
|
706.2285
|
Universal power law behaviors in genomic sequences and evolutionary
models
|
We study the length distribution of a particular class of DNA sequences known
as 5'UTR exons. These exons belong to the messanger RNA of protein coding
genes, but they are not coding (they are located upstream of the coding portion
of the mRNA) and are thus less constrained from an evolutionary point of view.
We show that both in mouse and in human these exons show a very clean power law
decay in their length distribution and suggest a simple evolutionary model
which may explain this finding. We conjecture that this power law behaviour
could indeed be a general feature of higher eukaryotes.
|
q-bio.GN cond-mat.other physics.bio-ph q-bio.QM
|
we study the length distribution of a particular class of dna sequences known as 5utr exons these exons belong to the messanger rna of protein coding genes but they are not coding they are located upstream of the coding portion of the mrna and are thus less constrained from an evolutionary point of view we show that both in mouse and in human these exons show a very clean power law decay in their length distribution and suggest a simple evolutionary model which may explain this finding we conjecture that this power law behaviour could indeed be a general feature of higher eukaryotes
|
[['we', 'study', 'the', 'length', 'distribution', 'of', 'a', 'particular', 'class', 'of', 'dna', 'sequences', 'known', 'as', '5utr', 'exons', 'these', 'exons', 'belong', 'to', 'the', 'messanger', 'rna', 'of', 'protein', 'coding', 'genes', 'but', 'they', 'are', 'not', 'coding', 'they', 'are', 'located', 'upstream', 'of', 'the', 'coding', 'portion', 'of', 'the', 'mrna', 'and', 'are', 'thus', 'less', 'constrained', 'from', 'an', 'evolutionary', 'point', 'of', 'view', 'we', 'show', 'that', 'both', 'in', 'mouse', 'and', 'in', 'human', 'these', 'exons', 'show', 'a', 'very', 'clean', 'power', 'law', 'decay', 'in', 'their', 'length', 'distribution', 'and', 'suggest', 'a', 'simple', 'evolutionary', 'model', 'which', 'may', 'explain', 'this', 'finding', 'we', 'conjecture', 'that', 'this', 'power', 'law', 'behaviour', 'could', 'indeed', 'be', 'a', 'general', 'feature', 'of', 'higher', 'eukaryotes']]
|
[-0.12406465439894462, 0.1373364259953694, -0.0949786820457977, 0.11384533089133504, -0.03738719900364725, -0.17526176319123038, 0.057887831734475294, 0.4113071427400251, -0.2973885548671762, -0.2671249440319619, 0.05397475301853191, -0.24029267578638946, -0.21752538767109797, 0.1839415262457779, -0.12938676619884168, -0.034821148681481486, 0.06214521737549979, 0.05706297623409519, 0.04715178897649556, -0.2096673780193245, 0.23105510271796323, 0.07318496201368212, 0.25805288855239605, 0.005871932175986975, 0.009906031295331647, -0.10393305562291909, -0.023929434125729863, 0.0019518774617644189, -0.12579031654442005, 0.17230039055558663, 0.30847972807772817, 0.1782473133225898, 0.25195094443930005, -0.39872178258103075, -0.22534171779621934, 0.12528459798404495, 0.20736094816922418, 0.15931663298482093, -0.0676541849609139, -0.20952645137689066, 0.1403597354842576, -0.14159481739851384, -0.06865178851085235, -0.02173621183062352, 0.01634860368337012, 0.07402548329335032, -0.22274161114366453, 0.10359639666287355, 0.06996792862366985, 0.06974678771407569, -0.06478810485099777, -0.12705859141220854, -0.029088933703498642, 0.18641626933878921, 0.09015782799874658, 0.015562828284353741, 0.1704554895156072, -0.13865340213874555, -0.09789662418132015, 0.33405666320033156, 0.0230117535887702, -0.18026521258526346, 0.1750712242085957, -0.14874803839088643, -0.19948004492676086, 0.13739641638273753, 0.1402388882927271, 0.12711717584014992, -0.163894957157521, 0.0021011554393058334, -0.055082786685868516, 0.2222626647085191, 0.12418637121349428, 0.050653900795738276, 0.22819050775786626, 0.13771330791489375, 0.010512062502138823, 0.13199126346882215, -0.10649103559191944, -0.11788420370345917, -0.2588130021739064, -0.14213483786951858, -0.15370908480824777, 0.07055289227104615, -0.10846040933689631, -0.18517040231635848, 0.3608357816645243, 0.08076571435012032, 0.1984141536454842, 0.14703551790274644, 0.20805036396837062, 0.03367744663671491, 0.10782486022544971, 0.054177075868599045, 0.1653599681703428, 0.04937418968669925, 0.050201103891453984, -0.19625000252153327, 0.13233747623535325, 0.018609250884376538]
|
706.2286
|
Spectral Methods for Numerical Relativity
|
Equations arising in General Relativity are usually too complicated to be
solved analytically and one has to rely on numerical methods to solve sets of
coupled partial differential equations. Among the possible choices, this paper
focuses on a class called spectral methods where, typically, the various
functions are expanded onto sets of orthogonal polynomials or functions. A
theoretical introduction on spectral expansion is first given and a particular
emphasis is put on the fast convergence of the spectral approximation. We
present then different approaches to solve partial differential equations,
first limiting ourselves to the one-dimensional case, with one or several
domains. Generalization to more dimensions is then discussed. In particular,
the case of time evolutions is carefully studied and the stability of such
evolutions investigated. One then turns to results obtained by various groups
in the field of General Relativity by means of spectral methods. First, works
which do not involve explicit time-evolutions are discussed, going from rapidly
rotating strange stars to the computation of binary black holes initial data.
Finally, the evolutions of various systems of astrophysical interest are
presented, from supernovae core collapse to binary black hole mergers.
|
gr-qc math.SP
|
equations arising in general relativity are usually too complicated to be solved analytically and one has to rely on numerical methods to solve sets of coupled partial differential equations among the possible choices this paper focuses on a class called spectral methods where typically the various functions are expanded onto sets of orthogonal polynomials or functions a theoretical introduction on spectral expansion is first given and a particular emphasis is put on the fast convergence of the spectral approximation we present then different approaches to solve partial differential equations first limiting ourselves to the onedimensional case with one or several domains generalization to more dimensions is then discussed in particular the case of time evolutions is carefully studied and the stability of such evolutions investigated one then turns to results obtained by various groups in the field of general relativity by means of spectral methods first works which do not involve explicit timeevolutions are discussed going from rapidly rotating strange stars to the computation of binary black holes initial data finally the evolutions of various systems of astrophysical interest are presented from supernovae core collapse to binary black hole mergers
|
[['equations', 'arising', 'in', 'general', 'relativity', 'are', 'usually', 'too', 'complicated', 'to', 'be', 'solved', 'analytically', 'and', 'one', 'has', 'to', 'rely', 'on', 'numerical', 'methods', 'to', 'solve', 'sets', 'of', 'coupled', 'partial', 'differential', 'equations', 'among', 'the', 'possible', 'choices', 'this', 'paper', 'focuses', 'on', 'a', 'class', 'called', 'spectral', 'methods', 'where', 'typically', 'the', 'various', 'functions', 'are', 'expanded', 'onto', 'sets', 'of', 'orthogonal', 'polynomials', 'or', 'functions', 'a', 'theoretical', 'introduction', 'on', 'spectral', 'expansion', 'is', 'first', 'given', 'and', 'a', 'particular', 'emphasis', 'is', 'put', 'on', 'the', 'fast', 'convergence', 'of', 'the', 'spectral', 'approximation', 'we', 'present', 'then', 'different', 'approaches', 'to', 'solve', 'partial', 'differential', 'equations', 'first', 'limiting', 'ourselves', 'to', 'the', 'onedimensional', 'case', 'with', 'one', 'or', 'several', 'domains', 'generalization', 'to', 'more', 'dimensions', 'is', 'then', 'discussed', 'in', 'particular', 'the', 'case', 'of', 'time', 'evolutions', 'is', 'carefully', 'studied', 'and', 'the', 'stability', 'of', 'such', 'evolutions', 'investigated', 'one', 'then', 'turns', 'to', 'results', 'obtained', 'by', 'various', 'groups', 'in', 'the', 'field', 'of', 'general', 'relativity', 'by', 'means', 'of', 'spectral', 'methods', 'first', 'works', 'which', 'do', 'not', 'involve', 'explicit', 'timeevolutions', 'are', 'discussed', 'going', 'from', 'rapidly', 'rotating', 'strange', 'stars', 'to', 'the', 'computation', 'of', 'binary', 'black', 'holes', 'initial', 'data', 'finally', 'the', 'evolutions', 'of', 'various', 'systems', 'of', 'astrophysical', 'interest', 'are', 'presented', 'from', 'supernovae', 'core', 'collapse', 'to', 'binary', 'black', 'hole', 'mergers']]
|
[-0.10158996436343602, 0.07040995967476384, -0.060416760854423046, 0.11031812138451068, -0.10335357480584399, -0.1251235966245938, -0.0018985622299001797, 0.34724800247993126, -0.23452223595231772, -0.2583254908162512, 0.14936920270801668, -0.26930473194837473, -0.11666610493128629, 0.24092428876442443, -0.050213687690350194, 0.08034715681140753, 0.06546948430263193, 0.016417587036266924, -0.13471573354263933, -0.2776514887907787, 0.4035982008778343, 0.014874738317571188, 0.211543922047866, -0.020545989235765054, 0.07146097066334302, -0.03360535609290788, -0.0673761301085745, 0.04856256028441222, -0.14630708701810555, 0.10156877976842224, 0.2612491653668449, 0.13805445609614253, 0.26484740637629567, -0.44680728510414297, -0.21613130031741765, 0.07985241278809936, 0.16209994099764644, 0.13786404167338714, -0.049394001286418646, -0.25631020762590007, 0.07601209597073888, -0.16662630316752353, -0.1256016920247164, -0.08985503172060769, 0.026339530381741687, 0.07284697201960769, -0.2401284934291126, 0.04670830784475823, 0.06540855637898571, -0.006843035900582388, -0.05947837208498784, -0.10638480402014562, 0.01063834771722261, 0.08439620108539729, 0.08816534584136541, -0.020814905508029224, 0.08118564753401045, -0.08378225099172835, -0.10003014425992181, 0.4157311431377342, -0.025779221865262738, -0.25271343364331283, 0.20895955006739025, -0.16495784812753922, -0.16850537006608454, 0.10566377505218905, 0.18833763684195123, 0.19986984471447375, -0.157508827337312, 0.08427049545479301, 0.013044699029016652, 0.1331658104390188, 0.0984967004605814, 0.011123105756766899, 0.20834299493090888, 0.1292234110756238, 0.017673245840705933, 0.13126871240337526, -0.022694300308725553, -0.14290698561112788, -0.27345865136502606, -0.07858382990387709, -0.159797564114591, 0.05945041815782468, -0.07915920675310956, -0.1650180635716472, 0.36722846426265804, 0.10967164112156944, 0.1683794201082109, 0.014065399598697887, 0.277642572020264, 0.14914761622877498, 0.01987028982594462, 0.056269113567510715, 0.24034235835761616, 0.17882242577248497, 0.10316026959886873, -0.187576402366578, 0.011713649007785869, 0.09559881729563992]
|
706.2287
|
Simulation of two spin-$s$ singlet correlations for all $s$ involving
spin measurements
|
In a recent paper [A. Ahanj et al., quant-ph/0603053], we gave a classical
protocol to simulate quantum correlations corresponding to the spin $s$ singlet
state for the infinite sequence of spins satisfying $2s+1 = 2^{n}$. In the
present paper, we have generalized this result by giving a classical protocol
to exactly simulate quantum correlations implied by the spin-$s$ singlet state
corresponding to all integer as well as half-integer spin values $s$. The class
of measurements we consider here are only those corresponding to spin
observables, as has been done in the above-mentioned paper. The required amount
of communication is found to be $\lceil {\rm log}_{2} (s + 1) \rceil$ in the
worst case scenario, where $\lceil x \rceil$ is the least integer greater than
or equal to $x$.
|
quant-ph
|
in a recent paper a ahanj et al quantph0603053 we gave a classical protocol to simulate quantum correlations corresponding to the spin s singlet state for the infinite sequence of spins satisfying 2s1 2n in the present paper we have generalized this result by giving a classical protocol to exactly simulate quantum correlations implied by the spins singlet state corresponding to all integer as well as halfinteger spin values s the class of measurements we consider here are only those corresponding to spin observables as has been done in the abovementioned paper the required amount of communication is found to be lceil rm log_2 s 1 rceil in the worst case scenario where lceil x rceil is the least integer greater than or equal to x
|
[['in', 'a', 'recent', 'paper', 'a', 'ahanj', 'et', 'al', 'quantph0603053', 'we', 'gave', 'a', 'classical', 'protocol', 'to', 'simulate', 'quantum', 'correlations', 'corresponding', 'to', 'the', 'spin', 's', 'singlet', 'state', 'for', 'the', 'infinite', 'sequence', 'of', 'spins', 'satisfying', '2s1', '2n', 'in', 'the', 'present', 'paper', 'we', 'have', 'generalized', 'this', 'result', 'by', 'giving', 'a', 'classical', 'protocol', 'to', 'exactly', 'simulate', 'quantum', 'correlations', 'implied', 'by', 'the', 'spins', 'singlet', 'state', 'corresponding', 'to', 'all', 'integer', 'as', 'well', 'as', 'halfinteger', 'spin', 'values', 's', 'the', 'class', 'of', 'measurements', 'we', 'consider', 'here', 'are', 'only', 'those', 'corresponding', 'to', 'spin', 'observables', 'as', 'has', 'been', 'done', 'in', 'the', 'abovementioned', 'paper', 'the', 'required', 'amount', 'of', 'communication', 'is', 'found', 'to', 'be', 'lceil', 'rm', 'log_2', 's', '1', 'rceil', 'in', 'the', 'worst', 'case', 'scenario', 'where', 'lceil', 'x', 'rceil', 'is', 'the', 'least', 'integer', 'greater', 'than', 'or', 'equal', 'to', 'x']]
|
[-0.16832500618071325, 0.184147796264076, -0.0052152623707849175, 0.051566020207246765, -0.005635644711043325, -0.22834432139361818, 0.026348334814106384, 0.32406627062347626, -0.2260810134616951, -0.33546956186933863, 0.06368655633583155, -0.32951040758991673, -0.06794481463692782, 0.13483123609330505, -0.03775154593055167, 0.05204826905103419, -0.022894153878423234, 0.08008091875578224, -0.06095107948039508, -0.31294076419022354, 0.25879509350629487, -0.001319811978910659, 0.1738521255995898, 0.014364014413478154, 0.06807355936278679, 0.013911690367686172, 0.07312227811123576, -0.025244559307823017, -0.1668450591574994, 0.05695588235187555, 0.27693921187892556, 0.08867498051803259, 0.21624476043507457, -0.41773042260038273, -0.16890711692300805, 0.19654077381804405, 0.16501562349543336, 0.11340732322705369, 0.03235476040056035, -0.21529833616636274, 0.1226839152268733, -0.18232268185754713, -0.12371144105019348, -0.02903849636805394, 0.08382105486722843, -0.06500764343241651, -0.3001701656293364, 0.07708789653054648, 0.10227446169160577, 0.02491563747471739, 0.035379076331493356, -0.16245179359365494, -0.015875524452572027, 0.06306809655413212, -0.021427612163073893, 0.10538842555533554, 0.029716338890965185, -0.0701504291181693, -0.18232715290580545, 0.33978038176052994, -0.038618940573336834, -0.17542503013711183, 0.11611290725563923, -0.16774247559313213, -0.13514614397765048, 0.07666601647713012, 0.10254692115760859, 0.16889726346538914, -0.09444973359425221, 0.11904825227365139, -0.09705049098439274, 0.16595728129839465, 0.07123905243427162, 0.09092542450995214, 0.14334098712330864, 0.09764057061270691, 0.08036593565409403, 0.15639527597100353, -0.05746256229430137, -0.08107407330845168, -0.29260617273018485, -0.17637782514981565, -0.2352426761410184, 0.1412323048608678, -0.027293835980667463, -0.060237013945175756, 0.36218872616037484, 0.14377115577395494, 0.21700810740942195, 0.07128638701678644, 0.2520873651449238, 0.10395383832961201, 0.007784672798739086, 0.09653168363166192, 0.17308351582276724, 0.1409854751433276, 0.02927405629006605, -0.2099342834347138, 0.0648131986916621, 0.09740967190854492]
|
706.2288
|
The fraction of binary systems in the core of thirteen low-density
Galactic globular clusters
|
We used deep observations collected with ACS@HST to derive the fraction of
binary systems in a sample of thirteen low-density Galactic globular clusters.
By analysing the color distribution of Main Sequence stars we derived the
minimum fraction of binary systems required to reproduce the observed
color-magnitude diagram morphologies. We found that all the analysed globular
clusters contain a minimum binary fraction larger than 6% within the core
radius. The estimated global fractions of binary systems range from 10% to 50%
depending on the cluster. A dependence of the relative fraction of binary
systems on the cluster age has been detected, suggesting that the binary
disruption process within the cluster core is active and can significantly
reduce the binary content in time.
|
astro-ph
|
we used deep observations collected with acshst to derive the fraction of binary systems in a sample of thirteen lowdensity galactic globular clusters by analysing the color distribution of main sequence stars we derived the minimum fraction of binary systems required to reproduce the observed colormagnitude diagram morphologies we found that all the analysed globular clusters contain a minimum binary fraction larger than 6 within the core radius the estimated global fractions of binary systems range from 10 to 50 depending on the cluster a dependence of the relative fraction of binary systems on the cluster age has been detected suggesting that the binary disruption process within the cluster core is active and can significantly reduce the binary content in time
|
[['we', 'used', 'deep', 'observations', 'collected', 'with', 'acshst', 'to', 'derive', 'the', 'fraction', 'of', 'binary', 'systems', 'in', 'a', 'sample', 'of', 'thirteen', 'lowdensity', 'galactic', 'globular', 'clusters', 'by', 'analysing', 'the', 'color', 'distribution', 'of', 'main', 'sequence', 'stars', 'we', 'derived', 'the', 'minimum', 'fraction', 'of', 'binary', 'systems', 'required', 'to', 'reproduce', 'the', 'observed', 'colormagnitude', 'diagram', 'morphologies', 'we', 'found', 'that', 'all', 'the', 'analysed', 'globular', 'clusters', 'contain', 'a', 'minimum', 'binary', 'fraction', 'larger', 'than', '6', 'within', 'the', 'core', 'radius', 'the', 'estimated', 'global', 'fractions', 'of', 'binary', 'systems', 'range', 'from', '10', 'to', '50', 'depending', 'on', 'the', 'cluster', 'a', 'dependence', 'of', 'the', 'relative', 'fraction', 'of', 'binary', 'systems', 'on', 'the', 'cluster', 'age', 'has', 'been', 'detected', 'suggesting', 'that', 'the', 'binary', 'disruption', 'process', 'within', 'the', 'cluster', 'core', 'is', 'active', 'and', 'can', 'significantly', 'reduce', 'the', 'binary', 'content', 'in', 'time']]
|
[-0.11009954370188811, 0.11482519384719862, -0.07294935928580683, 0.07871727118120264, -0.04262923145251087, -0.0003055397859843802, 0.12814575697060612, 0.37485419818361804, -0.1989159681199288, -0.39577672966132477, 0.0581469145874793, -0.29362315297403857, -0.042371449876427054, 0.18485080908160378, -0.013358550080798628, -0.001144866369595397, 0.11495761068591709, 0.024788729838780627, -0.07133352545701922, -0.3208018777380151, 0.2882689578816572, 0.04455630336710144, 0.17419357689805637, -0.09263622545260043, 0.06968504021979469, 0.008731494757754744, -0.05096774209244562, 0.02601074656733304, -0.13072471872940447, 0.07056403775557045, 0.2217385655342147, 0.17583474806848576, 0.1848601746596088, -0.3496841111810073, -0.21552210107969105, 0.11361472252833325, 0.2208867300194034, 0.05907328562303023, -0.07145703589920847, -0.2273799448710874, 0.14668437538760876, -0.2209454156056216, -0.1393256282254915, 0.09006014173034547, 0.09482130189695634, 0.07778737070962541, -0.16784058272653868, 0.13636985416081543, 0.016267934088965142, 0.054481321630214366, -0.14049652501294188, -0.1845381892293938, -0.03928604419535595, 0.12342905658797539, -0.05577892297133226, 0.06333424707043393, 0.1765972022390501, -0.11899546059310313, -0.015556522127441016, 0.39158283646626413, -0.040494398735987966, -0.029529787555783372, 0.24396516051439737, -0.20028563392202348, -0.17601641102055135, 0.1555033474794997, 0.22339553238192866, 0.11917799131652294, -0.20476938309224924, -0.017593339732597957, -0.013096112599173053, 0.2926975357969684, 0.033175449006351804, 0.03911310567112624, 0.30394372939755604, 0.14811053258282217, -0.011085785902297694, 0.1824417037981724, -0.22464650085490304, -0.11024334343642858, -0.176045147816589, -0.06026678344558093, -0.13096096576480118, 0.01991634615235154, -0.14983440200932427, -0.13205431920884192, 0.2972445149621195, 0.08573155865950649, 0.2443652597702424, 0.061257888183905936, 0.20604656281119044, 0.08761543716296308, 0.15801004652118633, 0.08628265013194773, 0.27611787641066904, 0.17791504376906564, 0.045139641524100105, -0.25045781483689, 0.11040850669869091, 0.008957324795855964]
|
706.2289
|
Laser cooling of unbound atoms in nondissipative optical lattices
|
The semiclassical theory of laser cooling is applied for the analysis of
cooling of unbound atoms with the values of the ground and exited state angular
moments 1/2 in a one-dimensional nondissipative optical lattice. We show that
in the low-saturation limit with respect to the pumping field a qualitative
interpretation of the cooling mechanisms can be made by the consideration of
effective two-level system of the ground-state sublevels. It is clarified that
in the limit of weak Raman transitions the cooling mechanism is similar to the
Doppler mechanism, which is known in the theory of two-level atom. In the limit
of strong Raman transitions the cooling mechanism is similar to the known
Sisyphus mechanism. In the slow atom approximation the analytical expressions
for the coefficients of friction, spontaneous and induced diffusion are given,
and the kinetic temperature is estimated.
|
physics.optics
|
the semiclassical theory of laser cooling is applied for the analysis of cooling of unbound atoms with the values of the ground and exited state angular moments 12 in a onedimensional nondissipative optical lattice we show that in the lowsaturation limit with respect to the pumping field a qualitative interpretation of the cooling mechanisms can be made by the consideration of effective twolevel system of the groundstate sublevels it is clarified that in the limit of weak raman transitions the cooling mechanism is similar to the doppler mechanism which is known in the theory of twolevel atom in the limit of strong raman transitions the cooling mechanism is similar to the known sisyphus mechanism in the slow atom approximation the analytical expressions for the coefficients of friction spontaneous and induced diffusion are given and the kinetic temperature is estimated
|
[['the', 'semiclassical', 'theory', 'of', 'laser', 'cooling', 'is', 'applied', 'for', 'the', 'analysis', 'of', 'cooling', 'of', 'unbound', 'atoms', 'with', 'the', 'values', 'of', 'the', 'ground', 'and', 'exited', 'state', 'angular', 'moments', '12', 'in', 'a', 'onedimensional', 'nondissipative', 'optical', 'lattice', 'we', 'show', 'that', 'in', 'the', 'lowsaturation', 'limit', 'with', 'respect', 'to', 'the', 'pumping', 'field', 'a', 'qualitative', 'interpretation', 'of', 'the', 'cooling', 'mechanisms', 'can', 'be', 'made', 'by', 'the', 'consideration', 'of', 'effective', 'twolevel', 'system', 'of', 'the', 'groundstate', 'sublevels', 'it', 'is', 'clarified', 'that', 'in', 'the', 'limit', 'of', 'weak', 'raman', 'transitions', 'the', 'cooling', 'mechanism', 'is', 'similar', 'to', 'the', 'doppler', 'mechanism', 'which', 'is', 'known', 'in', 'the', 'theory', 'of', 'twolevel', 'atom', 'in', 'the', 'limit', 'of', 'strong', 'raman', 'transitions', 'the', 'cooling', 'mechanism', 'is', 'similar', 'to', 'the', 'known', 'sisyphus', 'mechanism', 'in', 'the', 'slow', 'atom', 'approximation', 'the', 'analytical', 'expressions', 'for', 'the', 'coefficients', 'of', 'friction', 'spontaneous', 'and', 'induced', 'diffusion', 'are', 'given', 'and', 'the', 'kinetic', 'temperature', 'is', 'estimated']]
|
[-0.12929570646889077, 0.2177775063133542, -0.05586571325851685, 0.04764962032693776, -0.0013893527802133906, -0.10604211260510636, 0.07991268430951227, 0.3726817063879276, -0.2674220390820309, -0.257129419398025, 0.026785404693024855, -0.26526711512491125, -0.06538362643155067, 0.18677158409432656, 0.03570054092552459, 0.03590424835356711, 0.013524508569389582, 0.041431631736011935, -0.030013178515693417, -0.16664850924238292, 0.29098909276713064, 0.08559793655328668, 0.2877075269858798, 0.07582763877218131, 0.07795668632615411, -0.04759565169376362, 0.05766435946756299, -0.025832836894129498, -0.12030156565869339, 0.06545851449144707, 0.19985037345601164, 0.016419046639424305, 0.2118657437166658, -0.43652350576999394, -0.21687052979984361, 0.04857251142738792, 0.14408673245824224, 0.19307781220666823, -0.03507259534671903, -0.26548363923675555, -0.014825355821707542, -0.14341188081121747, -0.1436721870938883, -0.09160578038300508, 0.03201065039805447, 0.040327670639785734, -0.2937990055028079, 0.0800109744311118, 0.11380349934620755, 0.04911563538041883, -0.12442969239276389, -0.0539050985463436, -0.015093319145017776, 0.07195609982084969, 0.03981977334267973, 0.01765293209810161, 0.15996338556304682, -0.14082973624412579, -0.08114865506607769, 0.41856597681138397, -0.126802178482741, -0.1147403118227595, 0.16742309481850354, -0.16932562508863275, -0.07304912112126856, 0.1805168296871842, 0.08334706358584588, 0.1232630597508472, -0.13547447276631946, 0.0561489358977111, -0.011827376030007566, 0.1544969733043125, 0.04298486552822093, 0.07119222126556965, 0.18253182659627518, 0.16285866716930616, 0.007439774744536566, 0.15808011741846448, -0.10415153940667168, -0.14633036724062284, -0.2748783222953047, -0.1369774789790677, -0.1863329225435745, 0.07834090734578912, -0.06018148325487003, -0.13653999529576497, 0.3559956111628022, 0.14992750602085952, 0.16980440178008724, -0.042237947012493525, 0.32040745812549215, 0.2245880611969725, 0.03947610592645039, 0.009091276362491097, 0.3221891228804716, 0.2020331429059455, 0.05731560667787773, -0.3487499419471546, 0.03568794669758906, 0.06097838923713003]
|
706.229
|
Study of the Born-Oppenheimer Approximation for Mass-Scaling of Cold
Collision Properties
|
Asymptotic levels of the A $^1\Sigma_u^+$ state of the two isotopomers
$^{39}{\rm K}_2$ and $^{39}{\rm K}^{41}{\rm K}$ up to the dissociation limit
are investigated with a Doppler-free high resolution laser-spectroscopic
experiment in a molecular beam. The observed level structure can be reproduced
correctly only if a mass dependent correction term is introduced for the
interaction potential. The applied relative correction in the depth of the
potential is $10^{-6}$, which is in the order of magnitude expected for
corrections of the Born-Oppenheimer approximation. A similar change in ground
state potentials might lead to significant changes of mass-scaled properties
describing cold collisions like the s-wave scattering length.
|
cond-mat.other
|
asymptotic levels of the a 1sigma_u state of the two isotopomers 39rm k_2 and 39rm k41rm k up to the dissociation limit are investigated with a dopplerfree high resolution laserspectroscopic experiment in a molecular beam the observed level structure can be reproduced correctly only if a mass dependent correction term is introduced for the interaction potential the applied relative correction in the depth of the potential is 106 which is in the order of magnitude expected for corrections of the bornoppenheimer approximation a similar change in ground state potentials might lead to significant changes of massscaled properties describing cold collisions like the swave scattering length
|
[['asymptotic', 'levels', 'of', 'the', 'a', '1sigma_u', 'state', 'of', 'the', 'two', 'isotopomers', '39rm', 'k_2', 'and', '39rm', 'k41rm', 'k', 'up', 'to', 'the', 'dissociation', 'limit', 'are', 'investigated', 'with', 'a', 'dopplerfree', 'high', 'resolution', 'laserspectroscopic', 'experiment', 'in', 'a', 'molecular', 'beam', 'the', 'observed', 'level', 'structure', 'can', 'be', 'reproduced', 'correctly', 'only', 'if', 'a', 'mass', 'dependent', 'correction', 'term', 'is', 'introduced', 'for', 'the', 'interaction', 'potential', 'the', 'applied', 'relative', 'correction', 'in', 'the', 'depth', 'of', 'the', 'potential', 'is', '106', 'which', 'is', 'in', 'the', 'order', 'of', 'magnitude', 'expected', 'for', 'corrections', 'of', 'the', 'bornoppenheimer', 'approximation', 'a', 'similar', 'change', 'in', 'ground', 'state', 'potentials', 'might', 'lead', 'to', 'significant', 'changes', 'of', 'massscaled', 'properties', 'describing', 'cold', 'collisions', 'like', 'the', 'swave', 'scattering', 'length']]
|
[-0.13032188234277642, 0.15035430122560894, -0.09250628516579476, 0.09460758726681189, 0.02881881647492544, -0.10880501417425247, 0.04153411095075381, 0.34119997820100534, -0.236177348216118, -0.3188530166919988, 0.018867369938211944, -0.30907770855209005, -0.027978151817268763, 0.12447000065675148, 0.025893041752099704, 0.035192017967347056, 0.05016579154919153, 0.05742048809770495, -0.06518168669516364, -0.19627386114622752, 0.26179140560830444, 0.07464591098071721, 0.2216209967781861, 0.11877427217908777, 0.06446389804253928, -0.04103693299335786, 0.05326137966879357, 0.005634146814162915, -0.12183615480227253, 0.07791518437646189, 0.21873951028157115, -0.005891017091926187, 0.19180715424590744, -0.3867113666358189, -0.20167972298580794, 0.07873039595702161, 0.14138016450586013, 0.13695910334242328, -0.00801708605677749, -0.2648951943444375, 0.044520532578014985, -0.17272347272731936, -0.16880830944193384, -0.07001581241134912, 0.051582025178224564, 0.018054573644454088, -0.28149438371642294, 0.09988095102240689, 0.010572021395371568, 0.03641789669675815, -0.08161640747074181, -0.14045102316371272, -0.029470384711972795, 0.08589613352971635, 0.0010605030514013309, 0.09146385243338255, 0.13487246133333358, -0.16676722666306887, -0.06386522704269737, 0.418953322339803, -0.1272873175498367, -0.1334417382380567, 0.14824106472504076, -0.16707831691019237, -0.08782152183658372, 0.2026227669333681, 0.1256355145552124, 0.09314386446987136, -0.12098845454042581, 0.067182105181788, 0.03998357704124199, 0.20314016254941145, 0.10910132007512192, 0.0481534480708293, 0.15915362073036915, 0.1385742338696638, 0.004183825562134958, 0.09756632354345549, -0.14639641520065758, -0.09478836449516866, -0.28872993346438025, -0.12347637471528007, -0.14439842053868163, 0.05654113591971019, -0.06733577295479055, -0.11924311129573303, 0.3688086327075815, 0.11780191122894533, 0.21677645484361655, -0.025667208785307594, 0.29119216390357067, 0.1578927699839159, 0.07941692820391975, 0.028491731073770028, 0.2812428153522957, 0.15841247876680706, 0.04087771244723207, -0.28410751635405734, 0.09228405429838368, 0.013796797362514414]
|
706.2291
|
Existence theorem and blow-up criterion of the strong solutions to the
Magneto-micropolar fluid equations
|
In this paper we study the magneto-micropolar fluid equations in $\R^3$,
prove the existence of the strong solution with initial data in $H^s(\R^3)$ for
$s> {3/2}$, and set up its blow-up criterion. The tool we mainly use is
Littlewood-Paley decomposition, by which we obtain a Beale-Kato-Majda type
blow-up criterion for smooth solution $(u,\omega,b)$ which relies on the
vorticity of velocity $\nabla\times u$ only.
|
math.AP
|
in this paper we study the magnetomicropolar fluid equations in r3 prove the existence of the strong solution with initial data in hsr3 for s 32 and set up its blowup criterion the tool we mainly use is littlewoodpaley decomposition by which we obtain a bealekatomajda type blowup criterion for smooth solution uomegab which relies on the vorticity of velocity nablatimes u only
|
[['in', 'this', 'paper', 'we', 'study', 'the', 'magnetomicropolar', 'fluid', 'equations', 'in', 'r3', 'prove', 'the', 'existence', 'of', 'the', 'strong', 'solution', 'with', 'initial', 'data', 'in', 'hsr3', 'for', 's', '32', 'and', 'set', 'up', 'its', 'blowup', 'criterion', 'the', 'tool', 'we', 'mainly', 'use', 'is', 'littlewoodpaley', 'decomposition', 'by', 'which', 'we', 'obtain', 'a', 'bealekatomajda', 'type', 'blowup', 'criterion', 'for', 'smooth', 'solution', 'uomegab', 'which', 'relies', 'on', 'the', 'vorticity', 'of', 'velocity', 'nablatimes', 'u', 'only']]
|
[-0.16180582966686027, -0.018354524957535208, -0.10568551917667271, 0.04410355942720761, -0.0764905146521623, -0.1318297925267796, 0.024601116724938275, 0.26149802940485417, -0.28979387232026116, -0.2113099537148583, 0.17043300788490803, -0.24226258074498322, -0.09534807848270799, 0.17516675260925635, -0.05593809491542519, 0.05730787576004466, 0.06648679674587778, 0.022554756020058374, -0.0360881149707759, -0.22875963106797245, 0.38907023736077256, -0.09399401848433447, 0.25833350119608467, 0.06776340824903035, 0.11198877966290027, -0.022547220330318956, -0.023909840473263968, -0.009094058551260682, -0.26494083455840095, 0.10064669321749176, 0.1873417091937583, 0.11276011343388895, 0.2779973190827448, -0.38593285026975344, -0.16072298491709544, 0.12737433281040095, 0.14068757588440767, 0.1034103302002625, -0.041555031834429774, -0.27761700187550215, 0.137961842073891, -0.09704248310967548, -0.207608217862053, -0.08240642461192901, 0.05934684815221145, 0.0755904071361254, -0.30211341701692246, 0.13932672474289037, 0.13072367694389198, 0.07578791076409035, -0.1395472390901633, -0.0515557905567474, -0.03413840298937847, 0.0044501028176336015, 0.04183416017407521, 0.08723891304699002, 0.007464676660287087, -0.1158376393618337, 0.0027687452489235363, 0.3424125112226752, -0.12177212771455773, -0.25419054015493786, 0.16412825412193283, -0.1261217473761835, -0.10415129136049846, 0.10669408130963318, 0.15466905837176276, 0.17574938142397364, -0.13007636859890867, 0.14146822080546684, -0.09378109611265484, 0.12204185849605281, 0.11041244131619812, -0.010509609947072679, 0.08035792693587356, 0.1422286617615428, 0.17300063855640713, 0.10397901550912467, -0.09332607992252977, -0.040455803996501644, -0.3884595189106147, -0.19414485992527888, -0.16940663709137282, 0.1260632483029097, -0.10381469525159222, -0.1866166395608519, 0.3628410860575491, 0.09234193476588755, 0.16419785176632834, 0.05422003891273234, 0.2239822155078415, 0.13536607295290956, -0.024204284540514966, 0.11578622291658501, 0.20691569670882137, 0.1583065910257216, 0.1426164697565627, -0.22025900815430358, 0.009345532318607706, 0.22795133929333236]
|
706.2292
|
First observations of beam losses due to bound-free pair production in a
heavy-ion collider
|
We report the first observations of beam losses due to bound-free pair
production at the interaction point of a heavy-ion collider. This process is
expected to be a major luminosity limit for the Large Hadron Collider (LHC)
when it operates with 208Pb82+ ions because the localized energy deposition by
the lost ions may quench superconducting magnet coils. Measurements were
performed at the Relativistic Heavy Ion Collider (RHIC) during operation with
100 GeV/nucleon 63Cu29+ ions. At RHIC, the rate, energy and magnetic field are
low enough so that magnet quenching is not an issue. The hadronic showers
produced when the single-electron ions struck the RHIC beampipe were observed
using an array of photodiodes. The measurement confirms the order of magnitude
of the theoretical cross section previously calculated by others.
|
physics.acc-ph nucl-ex
|
we report the first observations of beam losses due to boundfree pair production at the interaction point of a heavyion collider this process is expected to be a major luminosity limit for the large hadron collider lhc when it operates with 208pb82 ions because the localized energy deposition by the lost ions may quench superconducting magnet coils measurements were performed at the relativistic heavy ion collider rhic during operation with 100 gevnucleon 63cu29 ions at rhic the rate energy and magnetic field are low enough so that magnet quenching is not an issue the hadronic showers produced when the singleelectron ions struck the rhic beampipe were observed using an array of photodiodes the measurement confirms the order of magnitude of the theoretical cross section previously calculated by others
|
[['we', 'report', 'the', 'first', 'observations', 'of', 'beam', 'losses', 'due', 'to', 'boundfree', 'pair', 'production', 'at', 'the', 'interaction', 'point', 'of', 'a', 'heavyion', 'collider', 'this', 'process', 'is', 'expected', 'to', 'be', 'a', 'major', 'luminosity', 'limit', 'for', 'the', 'large', 'hadron', 'collider', 'lhc', 'when', 'it', 'operates', 'with', '208pb82', 'ions', 'because', 'the', 'localized', 'energy', 'deposition', 'by', 'the', 'lost', 'ions', 'may', 'quench', 'superconducting', 'magnet', 'coils', 'measurements', 'were', 'performed', 'at', 'the', 'relativistic', 'heavy', 'ion', 'collider', 'rhic', 'during', 'operation', 'with', '100', 'gevnucleon', '63cu29', 'ions', 'at', 'rhic', 'the', 'rate', 'energy', 'and', 'magnetic', 'field', 'are', 'low', 'enough', 'so', 'that', 'magnet', 'quenching', 'is', 'not', 'an', 'issue', 'the', 'hadronic', 'showers', 'produced', 'when', 'the', 'singleelectron', 'ions', 'struck', 'the', 'rhic', 'beampipe', 'were', 'observed', 'using', 'an', 'array', 'of', 'photodiodes', 'the', 'measurement', 'confirms', 'the', 'order', 'of', 'magnitude', 'of', 'the', 'theoretical', 'cross', 'section', 'previously', 'calculated', 'by', 'others']]
|
[-0.07475498454153949, 0.2741903796460659, -0.06209949156504095, 0.07120746686487969, 0.021915511198811174, -0.13328120692845757, -0.027554012395030872, 0.38020581105269313, -0.20448159608315294, -0.31456825910796093, -0.009052706086700122, -0.3733075867135694, 0.11979359327485477, 0.18985575858474246, 0.08741833561092732, 0.08544181367587739, 0.14592666044743277, -0.03150297231664221, -0.02581269236732509, -0.22434430430445262, 0.24626383472758337, 0.22921602735955884, 0.25334642346449726, 0.1686263393178054, 0.10257765716381782, -0.006181172208904516, 0.054582566252495274, -0.02565543324957917, -0.08642346449188318, 0.02282167768736524, 0.2817593148609763, -0.0037275312420743424, 0.1821036152009977, -0.46727798984745356, -0.1304987426168894, 0.08827084793129891, 0.11162627258844028, 0.11852867032885259, -0.09160412261335868, -0.23897564375963737, 0.059153780465813606, -0.24021944155051247, -0.1286512181954825, -0.00012163250105763514, -0.01582721633631296, 0.02395118895448803, -0.29540047642782213, 0.027804363665618295, -0.018293281457493243, 0.08461280838095063, -0.011312610555924182, -0.15613213086163436, -0.047205855923257475, -0.033885435642597564, 0.07452424554732687, 0.07570946434014074, 0.2531663669423589, -0.12667071521758858, -0.12631328483515486, 0.3667568194085923, 0.01314898526321686, -0.043644076359905595, 0.16344900184501637, -0.2696291870019567, -0.09955533166181325, 0.22042609912555988, 0.20300301000582216, 0.07682937962428381, -0.20855499816738532, 0.031497474746754774, 0.03821462738936342, 0.17270251088968766, 0.09655008767914819, 0.04477890356495155, 0.24575456719172709, 0.21153202784563027, 0.004094385839315813, 0.11336711047716369, -0.18082166264405636, 0.0003934908423602112, -0.3570670379164416, -0.0937360278880737, -0.16192441332469307, 0.04117532489341445, 0.004528263745225387, -0.06106278383884373, 0.35059337146345554, 0.1064708823948644, 0.20597633218216732, -0.07967613953556206, 0.32801875511668327, 0.10952536670003438, 0.08221031461489904, 0.07582126003719855, 0.34640640339366796, 0.14909331996991174, 0.2054330161112676, -0.2697086120464318, 0.091156932503337, 0.03568456787249352]
|
706.2293
|
Resource control of object-oriented programs
|
A sup-interpretation is a tool which provides an upper bound on the size of a
value computed by some symbol of a program. Sup-interpretations have shown
their interest to deal with the complexity of first order functional programs.
For instance, they allow to characterize all the functions bitwise computable
in Alogtime. This paper is an attempt to adapt the framework of
sup-interpretations to a fragment of oriented-object programs, including
distinct encodings of numbers through the use of constructor symbols, loop and
while constructs and non recursive methods with side effects. We give a
criterion, called brotherly criterion, which ensures that each brotherly
program computes objects whose size is polynomially bounded by the inputs
sizes.
|
cs.PL cs.LO
|
a supinterpretation is a tool which provides an upper bound on the size of a value computed by some symbol of a program supinterpretations have shown their interest to deal with the complexity of first order functional programs for instance they allow to characterize all the functions bitwise computable in alogtime this paper is an attempt to adapt the framework of supinterpretations to a fragment of orientedobject programs including distinct encodings of numbers through the use of constructor symbols loop and while constructs and non recursive methods with side effects we give a criterion called brotherly criterion which ensures that each brotherly program computes objects whose size is polynomially bounded by the inputs sizes
|
[['a', 'supinterpretation', 'is', 'a', 'tool', 'which', 'provides', 'an', 'upper', 'bound', 'on', 'the', 'size', 'of', 'a', 'value', 'computed', 'by', 'some', 'symbol', 'of', 'a', 'program', 'supinterpretations', 'have', 'shown', 'their', 'interest', 'to', 'deal', 'with', 'the', 'complexity', 'of', 'first', 'order', 'functional', 'programs', 'for', 'instance', 'they', 'allow', 'to', 'characterize', 'all', 'the', 'functions', 'bitwise', 'computable', 'in', 'alogtime', 'this', 'paper', 'is', 'an', 'attempt', 'to', 'adapt', 'the', 'framework', 'of', 'supinterpretations', 'to', 'a', 'fragment', 'of', 'orientedobject', 'programs', 'including', 'distinct', 'encodings', 'of', 'numbers', 'through', 'the', 'use', 'of', 'constructor', 'symbols', 'loop', 'and', 'while', 'constructs', 'and', 'non', 'recursive', 'methods', 'with', 'side', 'effects', 'we', 'give', 'a', 'criterion', 'called', 'brotherly', 'criterion', 'which', 'ensures', 'that', 'each', 'brotherly', 'program', 'computes', 'objects', 'whose', 'size', 'is', 'polynomially', 'bounded', 'by', 'the', 'inputs', 'sizes']]
|
[-0.12737984963655635, 0.06957084711963533, -0.12319076078144454, 0.07931496118261289, -0.09785098333191951, -0.15323598532055596, 0.07163645434028477, 0.3166244004366804, -0.28392177825150766, -0.30192292301165585, 0.12131831315613921, -0.22180629383146236, -0.13666940451212292, 0.20101048198602764, -0.08724242229575077, 0.07528203940513518, 0.029993853230952425, 0.07600979522422813, -0.0472370358441536, -0.26061053532979295, 0.31502699467510115, 0.025036735936640804, 0.1841492212655134, 0.02652204232455223, 0.11748821964985547, 0.005587109838472267, -0.033230751606561575, 0.04226066201793409, -0.1346796491306066, 0.1518380596308631, 0.2755227795002603, 0.21973792885932908, 0.312082181956652, -0.40476669560689316, -0.11933074062030795, 0.1012874843462049, 0.10084673930041954, 0.11250446041617378, 0.003490082735187514, -0.24248848405905662, 0.12878465691717358, -0.15964538775244316, -0.08980369257567598, -0.07907208913640507, 0.012888007719003785, 0.02083852794794036, -0.2942995454011633, -0.049441586335115466, 0.09561949895810237, 0.034062206289531105, -0.02221896207841954, -0.11743581279354022, -0.0026541661298050815, 0.12532716849406736, 0.004773077247994004, 0.023388985519717752, 0.07094869183261046, -0.09190049542081172, -0.14995433049342405, 0.34453358808614776, -0.021418114455490973, -0.22783239874411867, 0.15643951420845315, -0.08529488043447511, -0.14917545602862944, 0.14290486078346726, 0.17538049142906623, 0.14712765575510212, -0.13928328679083327, 0.10993945222261436, -0.05144280749084675, 0.22700898279641976, 0.0630907784092479, 0.07497253224863547, 0.16235420068280887, 0.1123125928039951, 0.0908192756577535, 0.2093347916461989, -0.024298995405649847, -0.05686252738093644, -0.29647764800099935, -0.16400078753786226, -0.1543586271741856, -0.03424185886979103, -0.05764471063265717, -0.21175223584693806, 0.36520416925010163, 0.11222499417783939, 0.1996872424399398, 0.17281197815251628, 0.29010945401953914, 0.12617497045991827, 0.10964731445775029, 0.0955665673807148, 0.1179742912251391, 0.13241962891945666, 0.03580375060035262, -0.17501873454177932, 0.13369259460359417, 0.12326835763918347]
|
706.2294
|
On the origin of thermal string gas
|
We investigate decaying D-branes as the origin of the thermal string gas of
string gas cosmology. We consider initial configurations of low-dimensional
branes and argue that they can time evolve to thermal string gas. We find that
there is a range in the weak string coupling and fast brane decay time regimes,
where the initial configuration could drive the evolution of the dilaton to
values, where exactly three spacelike directions grow large.
|
hep-th astro-ph gr-qc
|
we investigate decaying dbranes as the origin of the thermal string gas of string gas cosmology we consider initial configurations of lowdimensional branes and argue that they can time evolve to thermal string gas we find that there is a range in the weak string coupling and fast brane decay time regimes where the initial configuration could drive the evolution of the dilaton to values where exactly three spacelike directions grow large
|
[['we', 'investigate', 'decaying', 'dbranes', 'as', 'the', 'origin', 'of', 'the', 'thermal', 'string', 'gas', 'of', 'string', 'gas', 'cosmology', 'we', 'consider', 'initial', 'configurations', 'of', 'lowdimensional', 'branes', 'and', 'argue', 'that', 'they', 'can', 'time', 'evolve', 'to', 'thermal', 'string', 'gas', 'we', 'find', 'that', 'there', 'is', 'a', 'range', 'in', 'the', 'weak', 'string', 'coupling', 'and', 'fast', 'brane', 'decay', 'time', 'regimes', 'where', 'the', 'initial', 'configuration', 'could', 'drive', 'the', 'evolution', 'of', 'the', 'dilaton', 'to', 'values', 'where', 'exactly', 'three', 'spacelike', 'directions', 'grow', 'large']]
|
[-0.192351591782224, 0.25327660381380057, -0.07157706998016995, 0.13456663215927417, -0.04619472643308756, -0.1634749346994795, -0.0019325612326307844, 0.3347789773769263, -0.26862490982360515, -0.24186013545194227, 0.07540018870430584, -0.23911065992433578, -0.02392760175280273, 0.12342732664223553, 0.03396712430468243, 0.0017172730410190222, 0.030003937399467558, -0.008643339000021419, -0.062155404731230296, -0.25800832374402993, 0.3728197903579308, 0.021712015913282003, 0.2560881781909201, 0.03068175187541379, 0.0949451335084935, -0.07912956481514913, 0.0379354732706108, 0.03206634734912465, -0.17299047276194163, -0.0009016121168517404, 0.1974570241032375, 0.09408845165227023, 0.165921773088889, -0.4867230564511071, -0.21371538559388784, 0.14078353205048996, 0.23120633146673855, 0.1863170943947302, -0.020556118481585547, -0.22906161706325495, 0.05735704270126815, -0.12619701351892823, -0.1549392208043072, -0.06100533688731957, 0.07763972297673011, -0.02567107308681847, -0.23554294724534783, 0.08347302066815449, 0.00025616542875973717, -0.06108383695957147, -0.08849498813570891, -0.03825409604339964, -0.044244849795682564, 0.10283103505692755, 0.15072517643016503, 0.08126578058969851, 0.20359800258625504, -0.16255610989820626, -0.0716413610886472, 0.3550088247284293, -0.11839508247147831, -0.16557680272833547, 0.20364324084948748, -0.19394863737721202, -0.12257814602667673, 0.08195109905985494, 0.15468058908461696, 0.0979986593592912, -0.10530255169133954, 0.16133379923121538, 0.001285031023952696, 0.15586175224355733, 0.09837217921611024, 0.08083977403212986, 0.3344934450772901, 0.13113361364230514, 0.011990697938017547, 0.15616288302569753, -0.10232281435229298, -0.14334818687186474, -0.3585431407360981, -0.11095286096679047, -0.1091501750698727, 0.11832581371224175, -0.15324119976422582, -0.2141417533599047, 0.33357272635071744, 0.11311810057506794, 0.2510827237015797, 0.020043014212408, 0.21751072288801274, 0.08409096118056267, 0.01961147235447748, 0.12022526753652427, 0.26528541192722815, 0.07338910986436531, 0.13069569378987783, -0.2677804471653265, -0.06384948538228248, 0.058968474894451596]
|
706.2295
|
Exact treatment of linear difference equations with noncommutative
coefficients
|
The exact solution of a Cauchy problem related to a linear second-order
difference equation with constant noncommutative coefficients is reported.
|
math-ph math.MP
|
the exact solution of a cauchy problem related to a linear secondorder difference equation with constant noncommutative coefficients is reported
|
[['the', 'exact', 'solution', 'of', 'a', 'cauchy', 'problem', 'related', 'to', 'a', 'linear', 'secondorder', 'difference', 'equation', 'with', 'constant', 'noncommutative', 'coefficients', 'is', 'reported']]
|
[-0.17781269513070583, 0.016856093984097244, -0.06111042210832238, 0.06209241336327977, -0.1862642290070653, -0.1765599087346345, -0.04859669413417578, 0.23433771785348653, -0.37603586753830315, -0.19595022285357117, 0.1294204456731677, -0.35541105885058644, -0.16407376937568188, 0.1590078515931964, -0.013091852143406867, 0.21122923037037253, 0.03784467531368137, 0.06663189390674233, -0.20151813006959857, -0.2396350341849029, 0.330195105727762, -0.004852141859009862, 0.22666064293589444, 0.035136312060058114, 0.23389090206474067, -0.06560642193071545, -0.0475012362934649, 0.05754382563754916, -0.21077482927357777, 0.09147139568231069, 0.3186843742383644, -0.007112935418263078, 0.2705661969725043, -0.3434317735955119, -0.16364929559640587, 0.10833578170277178, 0.06734310383908451, 0.12846235055476427, -0.07537816711701453, -0.23572508282959462, 0.06649084989912808, -0.11626572865061462, -0.2096902401186526, 0.025452632317319514, 0.033548307977616786, 0.021940905787050723, -0.30816917652264236, 0.21759881963953376, 0.050811820290982725, -0.03003123989328742, -0.16918465513736008, -0.07439204566180706, 0.10242552296258509, -0.019361961586400866, 0.07359081491595135, 0.041274468996562064, -0.03394272399600595, -0.08494480596855283, -0.09248169106431306, 0.38802938009612264, -0.1334445182234049, -0.3450315261259675, 0.05415207501500845, -0.11119724889285862, -0.031212694582063705, 0.1361754084005952, 0.12048083990812301, 0.2086575970053673, -0.1241289391182363, 0.19190659038722516, -0.09488019729033112, 0.22668176367878914, 0.12183119342662393, -0.05269891147036106, 0.09617699584923685, 0.02879075314849615, 0.11305770291946829, 0.15754881426692008, 0.08108783680945635, -0.21996485060080886, -0.3305187067016959, -0.14696977522107774, -0.16994389928877354, 0.12313923412002623, -0.15029078098013998, -0.25701925181783736, 0.35256933644413946, 0.04020033115521073, 0.1654768692329526, 0.07888405569829046, 0.23361366167664527, 0.3156885062344372, -0.0339055034215562, 0.021174950688146055, 0.18479670584201813, 0.23854641717625782, 0.14777289014309644, -0.2854358511278406, 0.07162156293634325, 0.2075129710137844]
|
706.2296
|
Signatures of fractal clustering of aerosols advected under gravity
|
Aerosols under chaotic advection often approach a strange attractor. They
move chaotically on this fractal set but, in the presence of gravity, they have
a net vertical motion downwards. In practical situations, observational data
may be available only at a given level, for example at the ground level. We
uncover two fractal signatures of chaotic advection of aerosols under the
action of gravity. Each one enables the computation of the fractal dimension
$D_{0}$ of the strange attractor governing the advection dynamics from data
obtained solely at a given level. We illustrate our theoretical findings with a
numerical experiment and discuss their possible relevance to meteorology.
|
nlin.CD physics.ao-ph physics.flu-dyn
|
aerosols under chaotic advection often approach a strange attractor they move chaotically on this fractal set but in the presence of gravity they have a net vertical motion downwards in practical situations observational data may be available only at a given level for example at the ground level we uncover two fractal signatures of chaotic advection of aerosols under the action of gravity each one enables the computation of the fractal dimension d_0 of the strange attractor governing the advection dynamics from data obtained solely at a given level we illustrate our theoretical findings with a numerical experiment and discuss their possible relevance to meteorology
|
[['aerosols', 'under', 'chaotic', 'advection', 'often', 'approach', 'a', 'strange', 'attractor', 'they', 'move', 'chaotically', 'on', 'this', 'fractal', 'set', 'but', 'in', 'the', 'presence', 'of', 'gravity', 'they', 'have', 'a', 'net', 'vertical', 'motion', 'downwards', 'in', 'practical', 'situations', 'observational', 'data', 'may', 'be', 'available', 'only', 'at', 'a', 'given', 'level', 'for', 'example', 'at', 'the', 'ground', 'level', 'we', 'uncover', 'two', 'fractal', 'signatures', 'of', 'chaotic', 'advection', 'of', 'aerosols', 'under', 'the', 'action', 'of', 'gravity', 'each', 'one', 'enables', 'the', 'computation', 'of', 'the', 'fractal', 'dimension', 'd_0', 'of', 'the', 'strange', 'attractor', 'governing', 'the', 'advection', 'dynamics', 'from', 'data', 'obtained', 'solely', 'at', 'a', 'given', 'level', 'we', 'illustrate', 'our', 'theoretical', 'findings', 'with', 'a', 'numerical', 'experiment', 'and', 'discuss', 'their', 'possible', 'relevance', 'to', 'meteorology']]
|
[-0.1397309703020645, 0.16126552581609715, -0.12071953308546828, 0.0965242332013856, -0.047825416918134404, -0.12900310554763392, 0.05765222772246315, 0.3000608402526095, -0.28696293339488055, -0.2670427253514174, 0.11419821803103246, -0.2947854084007087, -0.14349695324365583, 0.21046858444100336, -0.04948500602788824, 0.04272774555498646, 0.06072041627374433, 0.054834430948609396, 0.019505622868780933, -0.2337043907116389, 0.31547315439120643, 0.041782693799939895, 0.23623465483265352, 0.03217723303407963, 0.09500974370388403, -0.12605187849895585, -0.028920813614413853, 0.021372683186616215, -0.12293896279519513, 0.097060844452963, 0.19504563080900836, 0.08908590022252784, 0.25028998176789, -0.4456053317657539, -0.26116383210755884, 0.07571981544828131, 0.13542751594490948, 0.13274091434265886, -0.05284798668276164, -0.296981899458028, 0.03662286616329636, -0.12066393771120125, -0.19215150593026054, -0.09820732233957166, 0.03301793590986303, -0.011718783974980137, -0.2441063287534884, 0.07057322314718649, 0.05633152589822809, 0.11595865783858157, -0.0791453075395631, -0.09351682449646649, -0.0924937542971401, 0.13291644180703555, 0.06282631432903664, -0.02419268414849371, 0.1688678797556176, -0.13213649932960314, -0.08424780575469845, 0.4139339217073506, -0.07918324392466318, -0.25395927042478605, 0.24341448326373383, -0.2068034744511048, -0.14061433442735247, 0.13757200177226747, 0.19949659200030423, 0.0562973295028011, -0.12070945128909356, 0.061743334072664205, -0.035824442756850094, 0.14296678890075, 0.0831819202351783, 0.0070970579582665646, 0.2651265190204694, 0.19482242827569798, 0.0437259712500409, 0.10612149907697346, -0.09067768194446606, -0.13530574119040034, -0.3085068889228361, -0.0790924330552419, -0.1386895509525424, 0.047317951159285644, -0.13490669279389772, -0.1605718176013657, 0.38789635708644277, 0.18382879732110138, 0.1904597374167116, 0.010604850060883023, 0.29326185695827006, 0.08978878885987104, 0.012442089340073011, 0.09597223523804652, 0.2258509298919567, 0.07175640671824415, 0.131992856209122, -0.22601287247879165, 0.05947747077083304, 0.059700724961502215]
|
706.2297
|
The Minimal Number of Periodic Orbits of Periods Guaranteed in
Sharkovskii's Theorem
|
Let f(x) be a continuous function from a compact real interval into itself
with a periodic orbit of minimal period m, where m is not an integral power of
2. Then, by Sharkovsky's theorem, for every positive integer n with m \prec n
in the Sharkovsky's ordering defined below, a lower bound on the number of
periodic orbits of f(x) with minimal period n is 1. Could we improve this lower
bound from 1 to some larger number? In this paper, we give a complete answer to
this question.
|
math.DS math.NT
|
let fx be a continuous function from a compact real interval into itself with a periodic orbit of minimal period m where m is not an integral power of 2 then by sharkovskys theorem for every positive integer n with m prec n in the sharkovskys ordering defined below a lower bound on the number of periodic orbits of fx with minimal period n is 1 could we improve this lower bound from 1 to some larger number in this paper we give a complete answer to this question
|
[['let', 'fx', 'be', 'a', 'continuous', 'function', 'from', 'a', 'compact', 'real', 'interval', 'into', 'itself', 'with', 'a', 'periodic', 'orbit', 'of', 'minimal', 'period', 'm', 'where', 'm', 'is', 'not', 'an', 'integral', 'power', 'of', '2', 'then', 'by', 'sharkovskys', 'theorem', 'for', 'every', 'positive', 'integer', 'n', 'with', 'm', 'prec', 'n', 'in', 'the', 'sharkovskys', 'ordering', 'defined', 'below', 'a', 'lower', 'bound', 'on', 'the', 'number', 'of', 'periodic', 'orbits', 'of', 'fx', 'with', 'minimal', 'period', 'n', 'is', '1', 'could', 'we', 'improve', 'this', 'lower', 'bound', 'from', '1', 'to', 'some', 'larger', 'number', 'in', 'this', 'paper', 'we', 'give', 'a', 'complete', 'answer', 'to', 'this', 'question']]
|
[-0.20070908623590564, 0.17364198498554093, -0.05208890382305122, 0.01962771071408865, -0.07241695902174276, -0.16177324638335724, 0.07190386592698272, 0.30294830520543153, -0.2679444869791859, -0.3094534422427918, 0.10013121811756759, -0.27127467242352077, -0.11277999829113734, 0.22630820205968835, -0.09481599419430066, -0.01458103744982836, 0.015576934524330446, 0.12546042326884868, -0.07855984935631159, -0.3074081355046607, 0.30053714348861343, -0.04352685780358616, 0.09260272345599833, 0.04224656677145636, 0.07758695555829935, 0.02830913405488716, 0.04929081877638596, -0.010184071217715907, -0.1834795094000992, 0.10197124062524585, 0.24890880610302007, 0.13012682953640148, 0.30122019010962225, -0.3610454411962033, -0.1310347911451807, 0.20424102661147547, 0.13721535347004452, -0.02117085944484459, -0.0010235136168161303, -0.2136983485850558, 0.18842515568091964, -0.14825069159269333, -0.1471693525980279, 0.023995791794732213, 0.15207884939952512, 0.0007987180829383014, -0.3252244266534873, 0.0037672551599948595, 0.12343959770887421, 0.08656150958594981, -0.050305201274374226, -0.13266476792063606, -0.022821041980360664, 0.08962014622023601, -0.011194363934520696, 0.13115608193414557, 0.007916060479729321, -0.015894232602957428, -0.08882105557687497, 0.3137402002898495, -0.13319853082131805, -0.23412883587265282, 0.09856190426233277, -0.21684067927070716, -0.1275339357010769, 0.16298008604456535, 0.15311410577360834, 0.14614699064136555, -0.05313348582830657, 0.1647873596612657, -0.13405547446958468, 0.2055342820671837, 0.09120175194288238, 0.0025413394460894086, 0.1808588620526402, 0.13149045091750247, 0.1677033254259339, 0.12949398971879542, -0.0005908252414985654, 0.026890479891529578, -0.317767771766678, -0.1465978578761157, -0.22174090571868954, 0.18042348120430238, -0.08845320522191338, -0.15210196226207393, 0.33714206746957276, 0.062304862937105174, 0.2615920327017816, 0.11938310567331448, 0.24087350506837782, 0.13893929561024554, -0.011825768884959412, 0.10459536432780409, 0.07103269571455437, 0.10116377664374167, 0.012279530385446347, -0.14585350003103945, -0.002490517897845319, 0.10944770843711461]
|
706.2298
|
Local coherence and deflation of the low quark modes in lattice QCD
|
The spontaneous breaking of chiral symmetry in QCD is known to be linked to a
non-zero density of eigenvalues of the massless Dirac operator near the origin.
Numerical studies of two-flavour QCD now suggest that the low quark modes are
locally coherent to a certain extent. As a consequence, the modes can be
simultaneously deflated, using local projectors, with a total computational
effort proportional to the lattice volume (rather than its square). Deflation
has potentially many uses in lattice QCD. The technique is here worked out for
the case of quark propagator calculations, where large speed-up factors and a
flat scaling behaviour with respect to the quark mass are achieved.
|
hep-lat
|
the spontaneous breaking of chiral symmetry in qcd is known to be linked to a nonzero density of eigenvalues of the massless dirac operator near the origin numerical studies of twoflavour qcd now suggest that the low quark modes are locally coherent to a certain extent as a consequence the modes can be simultaneously deflated using local projectors with a total computational effort proportional to the lattice volume rather than its square deflation has potentially many uses in lattice qcd the technique is here worked out for the case of quark propagator calculations where large speedup factors and a flat scaling behaviour with respect to the quark mass are achieved
|
[['the', 'spontaneous', 'breaking', 'of', 'chiral', 'symmetry', 'in', 'qcd', 'is', 'known', 'to', 'be', 'linked', 'to', 'a', 'nonzero', 'density', 'of', 'eigenvalues', 'of', 'the', 'massless', 'dirac', 'operator', 'near', 'the', 'origin', 'numerical', 'studies', 'of', 'twoflavour', 'qcd', 'now', 'suggest', 'that', 'the', 'low', 'quark', 'modes', 'are', 'locally', 'coherent', 'to', 'a', 'certain', 'extent', 'as', 'a', 'consequence', 'the', 'modes', 'can', 'be', 'simultaneously', 'deflated', 'using', 'local', 'projectors', 'with', 'a', 'total', 'computational', 'effort', 'proportional', 'to', 'the', 'lattice', 'volume', 'rather', 'than', 'its', 'square', 'deflation', 'has', 'potentially', 'many', 'uses', 'in', 'lattice', 'qcd', 'the', 'technique', 'is', 'here', 'worked', 'out', 'for', 'the', 'case', 'of', 'quark', 'propagator', 'calculations', 'where', 'large', 'speedup', 'factors', 'and', 'a', 'flat', 'scaling', 'behaviour', 'with', 'respect', 'to', 'the', 'quark', 'mass', 'are', 'achieved']]
|
[-0.11322168008085678, 0.21746223141354593, -0.11445289564911615, 0.0451030494497073, -0.09578898740636016, -0.08853416957638481, 0.06417864370583133, 0.3554879439740696, -0.22224955767901106, -0.22767211912697266, 0.10408195035151122, -0.2951908045871691, -0.08745827127078717, 0.12139234493528916, 0.013392765963958069, 0.09115624509021555, 0.02074563118459826, 0.04692365717227486, -0.11758517789950763, -0.23437921105968682, 0.28652857958593153, 0.059182495208965104, 0.24838779800232838, 0.10579955189234831, 0.056546426596204666, -0.06637506767345423, -0.010292779273268852, -0.0024793440306728537, -0.07458638041524947, 0.054730922948907725, 0.2147197609105867, 0.006661064321683212, 0.21259491116824475, -0.397943036664616, -0.18595041807275264, 0.11214955867458642, 0.1610162491933972, 0.13057363694533705, -0.02519271407826719, -0.24285166215109216, 0.10695221321816048, -0.17843975339254195, -0.2220990463837304, -0.14560257714580405, -0.03148921420374377, -0.055138534768907864, -0.2989588497460566, 0.10242603651501915, -0.040908736672083085, 0.0334403817472445, 0.014969923650972885, -0.15019735341298987, -0.06909983515612442, 0.07928621256300672, 0.1033864929552444, 0.06167952794242989, 0.11912794083188849, -0.15805084503425115, -0.13531968974593012, 0.4556378808380528, -0.0472025471470922, -0.21433899077713828, 0.14867509180806915, -0.1764466693878851, -0.0976043455641378, 0.15883029284463687, 0.14278654103082689, 0.09365066333504563, -0.13069862691177564, 0.10229924134671985, -0.06334239296847954, 0.16275079637998716, 0.07587780162734403, 0.05436264899643985, 0.22806227846409788, 0.15986908758905802, 0.05075856566968882, 0.1096062499685848, -0.022177486566149377, -0.13609304200984876, -0.3366968693084676, -0.09873809566805986, -0.22281463949898767, 0.07803298503329809, -0.11522889593602899, -0.17192625840279188, 0.3850848603993654, 0.09070182827893983, 0.2054900961250744, 0.021724133210426027, 0.2719325824937021, 0.14435846866849303, 0.1436170846012167, 0.06482105515050617, 0.24022716699930077, 0.17855334402993323, 0.0738210697404363, -0.29649217095734043, -0.05121933894909241, 0.0923848048043014]
|
706.2299
|
Diffuse HI Disks in Isolated Galaxies
|
In order to investigate the contribution of diffuse components to their total
HI emission, we have obtained high precision HI line flux densities with the
100m Green Bank Telescope for a sample of 100 isolated spiral and irregular
galaxies which we have previously observed with the 43m telescope. A comparison
of the observed HI line fluxes obtained with the two different telescopes,
characterized by half-power beam widths of 9 arcmin and 21 arcmin respectively,
exploits a ``beam matching'' technique to yield a statistical determination of
the occurrence of diffuse HI components in their disks. A simple model of the
HI distribution within a galaxy well describes ~75 % of the sample and accounts
for all of the HI line flux density. The remaining galaxies are approximately
evenly divided into two categories: ones which appear to possess a
significantly more extensive HI distribution than the model predicts, and ones
for which the HI distribution is more centrally concentrated than predicted.
Examples of both extremes can be found in the literature but little attention
has been paid to the centrally concentrated HI systems. Our sample has
demonstrated that galaxies do not commonly possess extended regions of low
surface brightness HI gas which is not accounted for by our current
understanding of the structure of HI disks. Eight HI-rich companions to the
target objects are identified, and a set of extragalactic HI line flux density
calibrators is presented.
|
astro-ph
|
in order to investigate the contribution of diffuse components to their total hi emission we have obtained high precision hi line flux densities with the 100m green bank telescope for a sample of 100 isolated spiral and irregular galaxies which we have previously observed with the 43m telescope a comparison of the observed hi line fluxes obtained with the two different telescopes characterized by halfpower beam widths of 9 arcmin and 21 arcmin respectively exploits a beam matching technique to yield a statistical determination of the occurrence of diffuse hi components in their disks a simple model of the hi distribution within a galaxy well describes 75 of the sample and accounts for all of the hi line flux density the remaining galaxies are approximately evenly divided into two categories ones which appear to possess a significantly more extensive hi distribution than the model predicts and ones for which the hi distribution is more centrally concentrated than predicted examples of both extremes can be found in the literature but little attention has been paid to the centrally concentrated hi systems our sample has demonstrated that galaxies do not commonly possess extended regions of low surface brightness hi gas which is not accounted for by our current understanding of the structure of hi disks eight hirich companions to the target objects are identified and a set of extragalactic hi line flux density calibrators is presented
|
[['in', 'order', 'to', 'investigate', 'the', 'contribution', 'of', 'diffuse', 'components', 'to', 'their', 'total', 'hi', 'emission', 'we', 'have', 'obtained', 'high', 'precision', 'hi', 'line', 'flux', 'densities', 'with', 'the', '100m', 'green', 'bank', 'telescope', 'for', 'a', 'sample', 'of', '100', 'isolated', 'spiral', 'and', 'irregular', 'galaxies', 'which', 'we', 'have', 'previously', 'observed', 'with', 'the', '43m', 'telescope', 'a', 'comparison', 'of', 'the', 'observed', 'hi', 'line', 'fluxes', 'obtained', 'with', 'the', 'two', 'different', 'telescopes', 'characterized', 'by', 'halfpower', 'beam', 'widths', 'of', '9', 'arcmin', 'and', '21', 'arcmin', 'respectively', 'exploits', 'a', 'beam', 'matching', 'technique', 'to', 'yield', 'a', 'statistical', 'determination', 'of', 'the', 'occurrence', 'of', 'diffuse', 'hi', 'components', 'in', 'their', 'disks', 'a', 'simple', 'model', 'of', 'the', 'hi', 'distribution', 'within', 'a', 'galaxy', 'well', 'describes', '75', 'of', 'the', 'sample', 'and', 'accounts', 'for', 'all', 'of', 'the', 'hi', 'line', 'flux', 'density', 'the', 'remaining', 'galaxies', 'are', 'approximately', 'evenly', 'divided', 'into', 'two', 'categories', 'ones', 'which', 'appear', 'to', 'possess', 'a', 'significantly', 'more', 'extensive', 'hi', 'distribution', 'than', 'the', 'model', 'predicts', 'and', 'ones', 'for', 'which', 'the', 'hi', 'distribution', 'is', 'more', 'centrally', 'concentrated', 'than', 'predicted', 'examples', 'of', 'both', 'extremes', 'can', 'be', 'found', 'in', 'the', 'literature', 'but', 'little', 'attention', 'has', 'been', 'paid', 'to', 'the', 'centrally', 'concentrated', 'hi', 'systems', 'our', 'sample', 'has', 'demonstrated', 'that', 'galaxies', 'do', 'not', 'commonly', 'possess', 'extended', 'regions', 'of', 'low', 'surface', 'brightness', 'hi', 'gas', 'which', 'is', 'not', 'accounted', 'for', 'by', 'our', 'current', 'understanding', 'of', 'the', 'structure', 'of', 'hi', 'disks', 'eight', 'hirich', 'companions', 'to', 'the', 'target', 'objects', 'are', 'identified', 'and', 'a', 'set', 'of', 'extragalactic', 'hi', 'line', 'flux', 'density', 'calibrators', 'is', 'presented']]
|
[-0.07301940334389687, 0.05518857177752906, -0.03600022251494866, 0.10051365493961936, -0.04934174093640704, -0.06216815197900033, 0.01634497847308556, 0.4694706191643117, -0.10078966468333816, -0.3562209570748556, 0.06788222211598156, -0.29318695266842526, -0.040058197980472006, 0.18415547980435398, 0.013413135101620713, 0.003329940786159599, 0.016496756719027318, -0.09362696188364704, -0.04545999184533413, -0.26863810181136155, 0.28860518463457435, 0.07032224462112874, 0.227734266837032, -0.028049941570976893, 0.08625356963453576, -0.13081110514572059, -0.13349059630885848, 0.019331365071523648, -0.1076498451021375, 0.10779246260634918, 0.2501998154454443, 0.11196849774071771, 0.17800467453288057, -0.3585169283214782, -0.22030491697697493, 0.10139783032827525, 0.18920082041325095, 0.05488563721211484, -0.02679310126180868, -0.30728372301842666, 0.07729756724712256, -0.17459697197698867, -0.1869018593003066, 0.049396488164814234, 0.04704013586633353, 0.06019765964677382, -0.18881206710262693, 0.10999644910205258, 0.02911221383847933, 0.09378680450698504, -0.06583848366072068, -0.16655963107855976, -0.06702600873143086, 0.07728125924905205, -0.005305832107133495, 0.049395000743162304, 0.21458326875924683, -0.1446184784772957, 0.01768902939163212, 0.4138665102247117, -0.051526401580125294, -0.06863222457866511, 0.20926885968313003, -0.24351736556730655, -0.15038953633813792, 0.21061836559978178, 0.1468924824665818, 0.06956049314357786, -0.15619618586950107, 0.00681964872973577, -0.07345267909312318, 0.21535675623056152, 0.0601633324011221, 0.06535760051493471, 0.29513949454407823, 0.07271106138976657, 0.09240477951784552, 0.11655349423860112, -0.24114721056479865, -0.05367545254974284, -0.2082466139880001, -0.09849568893167819, -0.14054296305452862, 0.05174494755633959, -0.06634847203469348, -0.11965542452501404, 0.3734300851734339, 0.07298087688316153, 0.25417314810503244, 0.08314438993133641, 0.3064964849891889, 0.09622162472065907, 0.14665259907194875, 0.10291530669201165, 0.2632193407203015, 0.1731044599123729, 0.07191689255543882, -0.17740165145991124, 0.05386848600842974, -0.031525978106113836]
|
706.23
|
The few-body problem in terms of correlated gaussians
|
In their textbook, Suzuki and Varga [Y. Suzuki and K. Varga, {\em Stochastic
Variational Approach to Quantum-Mechanical Few-Body Problems} (Springer,
Berlin, 1998)] present the stochastic variational method in a very exhaustive
way. In this framework, the so-called correlated gaussian bases are often
employed. General formulae for the matrix elements of various operators can be
found in the textbook. However the Fourier transform of correlated gaussians
and their application to the management of a relativistic kinetic energy
operator are missing and cannot be found in the literature. In this paper we
present these interesting formulae. We give also a derivation for new
formulations concerning central potentials; the corresponding formulae are more
efficient numerically than those presented in the textbook.
|
hep-ph physics.comp-ph
|
in their textbook suzuki and varga y suzuki and k varga em stochastic variational approach to quantummechanical fewbody problems springer berlin 1998 present the stochastic variational method in a very exhaustive way in this framework the socalled correlated gaussian bases are often employed general formulae for the matrix elements of various operators can be found in the textbook however the fourier transform of correlated gaussians and their application to the management of a relativistic kinetic energy operator are missing and cannot be found in the literature in this paper we present these interesting formulae we give also a derivation for new formulations concerning central potentials the corresponding formulae are more efficient numerically than those presented in the textbook
|
[['in', 'their', 'textbook', 'suzuki', 'and', 'varga', 'y', 'suzuki', 'and', 'k', 'varga', 'em', 'stochastic', 'variational', 'approach', 'to', 'quantummechanical', 'fewbody', 'problems', 'springer', 'berlin', '1998', 'present', 'the', 'stochastic', 'variational', 'method', 'in', 'a', 'very', 'exhaustive', 'way', 'in', 'this', 'framework', 'the', 'socalled', 'correlated', 'gaussian', 'bases', 'are', 'often', 'employed', 'general', 'formulae', 'for', 'the', 'matrix', 'elements', 'of', 'various', 'operators', 'can', 'be', 'found', 'in', 'the', 'textbook', 'however', 'the', 'fourier', 'transform', 'of', 'correlated', 'gaussians', 'and', 'their', 'application', 'to', 'the', 'management', 'of', 'a', 'relativistic', 'kinetic', 'energy', 'operator', 'are', 'missing', 'and', 'can', 'not', 'be', 'found', 'in', 'the', 'literature', 'in', 'this', 'paper', 'we', 'present', 'these', 'interesting', 'formulae', 'we', 'give', 'also', 'a', 'derivation', 'for', 'new', 'formulations', 'concerning', 'central', 'potentials', 'the', 'corresponding', 'formulae', 'are', 'more', 'efficient', 'numerically', 'than', 'those', 'presented', 'in', 'the', 'textbook']]
|
[-0.06370619056304182, 0.07333710985232542, -0.11808197057469427, 0.14134416601057126, -0.08935017313636026, -0.13029133130506682, 0.016787164253691415, 0.36325001201647167, -0.2531223617134099, -0.2929007173163675, 0.07684640216684173, -0.26138427950629667, -0.18555902774218752, 0.2160209172460086, -0.09044750583428546, 0.07828120377008654, 0.04131433655539168, 0.012043845380006843, -0.10991221623291739, -0.2351097354681051, 0.26058202969035554, 0.04326841304031741, 0.22428961087237387, 0.022662607170328374, 0.0356681757281777, 0.015304226383269458, -0.08182581925389021, -0.0034714083054236005, -0.11212123690188683, 0.1727032166839178, 0.3217702039180934, 0.10731544394531295, 0.24263382324667163, -0.43033738597100524, -0.17786697417638508, 0.08912154558670371, 0.15477674484337062, 0.13568977024327933, -0.04036014823953742, -0.2670419590876383, 0.025178645620075595, -0.1839327727671431, -0.124894313232488, -0.125078538829899, 0.03065997182133318, 0.03417035860122972, -0.24615971532262892, 0.11171503831263624, 0.07109751593039818, 0.06633246636425122, -0.04281934861391157, -0.18620614012010678, 0.05887164145085898, 0.03739843437322924, -0.00716511152113373, -0.01551758054988224, 0.05406018052281452, -0.07847263432154823, -0.12193725860732443, 0.38938867540231775, -0.026413518216039305, -0.22931357828446297, 0.16528033682716495, -0.10005528213379968, -0.14829480658997507, 0.10765635443287862, 0.15884051208986955, 0.1796953860834679, -0.2193088304337521, 0.10744436605864775, -0.05462919242147889, 0.07336103437984941, 0.051233604123831544, 0.006289154344469215, 0.1187825791807767, 0.06482020194227454, 0.010530200732104918, 0.11981686727660355, 0.0025267897392897043, -0.1295173682366349, -0.31271310948899816, -0.15968797501849652, -0.16098957711893344, 0.030753092247598507, -0.05933796504009593, -0.1706535754756642, 0.37161016957286525, 0.1547040810667667, 0.15168158816439764, 0.03622635808859427, 0.2512408219778738, 0.16317774773724064, -0.0061536742483868315, 0.09580095651551705, 0.22276239065813416, 0.18468757433926358, 0.12915475284614691, -0.1534254322368495, 0.022652796090056163, 0.1223464842470942]
|
706.2301
|
X-ray detection of the substellar twin 2MASS J11011926-7732383 AB
|
2MASS J11011926-7732383 AB (hereafter 2M1101AB), located in the Cha I star
forming region, is a rare wide-separation brown dwarf binary. XMM-Newton and
Chandra observations of 2M1101AB have allowed us to examine the influence of
physical parameters (mass, bolometric luminosity and effective temperature) on
X-ray emission from a coeval pair of substellar objects. The spatial resolution
of XMM-Newton is not sufficient to separate contributions from the two
components in the binary. The X-ray source detected with XMM-Newton has a
column density compatible with the infrared extinction of component A. On the
other hand, the binary is resolved with Chandra, and the bulk of the X-ray
emission is clearly associated with the photospherically cooler component B.
These apparently contradictory results point at strong variability of 2M1101's
X-ray emission. Combined with previous sensitive X-ray observations from
low-mass members of ChaI, we find a decline of X-ray luminosity with decreasing
(sub)stellar mass that is typical for star forming regions. 2M1101B is the
coolest (spectral type M8.25) and least massive brown dwarf of ChaI detected in
X-rays so far. It is also among the youngest (~1 Myr) substellar ChaI members,
and therefore relatively luminous. Most bona fide brown dwarfs of Cha I have
remained below the sensitivity limits of available X-ray observations, because
of their low luminosity associated with higher age.
|
astro-ph
|
2mass j110119267732383 ab hereafter 2m1101ab located in the cha i star forming region is a rare wideseparation brown dwarf binary xmmnewton and chandra observations of 2m1101ab have allowed us to examine the influence of physical parameters mass bolometric luminosity and effective temperature on xray emission from a coeval pair of substellar objects the spatial resolution of xmmnewton is not sufficient to separate contributions from the two components in the binary the xray source detected with xmmnewton has a column density compatible with the infrared extinction of component a on the other hand the binary is resolved with chandra and the bulk of the xray emission is clearly associated with the photospherically cooler component b these apparently contradictory results point at strong variability of 2m1101s xray emission combined with previous sensitive xray observations from lowmass members of chai we find a decline of xray luminosity with decreasing substellar mass that is typical for star forming regions 2m1101b is the coolest spectral type m825 and least massive brown dwarf of chai detected in xrays so far it is also among the youngest 1 myr substellar chai members and therefore relatively luminous most bona fide brown dwarfs of cha i have remained below the sensitivity limits of available xray observations because of their low luminosity associated with higher age
|
[['2mass', 'j110119267732383', 'ab', 'hereafter', '2m1101ab', 'located', 'in', 'the', 'cha', 'i', 'star', 'forming', 'region', 'is', 'a', 'rare', 'wideseparation', 'brown', 'dwarf', 'binary', 'xmmnewton', 'and', 'chandra', 'observations', 'of', '2m1101ab', 'have', 'allowed', 'us', 'to', 'examine', 'the', 'influence', 'of', 'physical', 'parameters', 'mass', 'bolometric', 'luminosity', 'and', 'effective', 'temperature', 'on', 'xray', 'emission', 'from', 'a', 'coeval', 'pair', 'of', 'substellar', 'objects', 'the', 'spatial', 'resolution', 'of', 'xmmnewton', 'is', 'not', 'sufficient', 'to', 'separate', 'contributions', 'from', 'the', 'two', 'components', 'in', 'the', 'binary', 'the', 'xray', 'source', 'detected', 'with', 'xmmnewton', 'has', 'a', 'column', 'density', 'compatible', 'with', 'the', 'infrared', 'extinction', 'of', 'component', 'a', 'on', 'the', 'other', 'hand', 'the', 'binary', 'is', 'resolved', 'with', 'chandra', 'and', 'the', 'bulk', 'of', 'the', 'xray', 'emission', 'is', 'clearly', 'associated', 'with', 'the', 'photospherically', 'cooler', 'component', 'b', 'these', 'apparently', 'contradictory', 'results', 'point', 'at', 'strong', 'variability', 'of', '2m1101s', 'xray', 'emission', 'combined', 'with', 'previous', 'sensitive', 'xray', 'observations', 'from', 'lowmass', 'members', 'of', 'chai', 'we', 'find', 'a', 'decline', 'of', 'xray', 'luminosity', 'with', 'decreasing', 'substellar', 'mass', 'that', 'is', 'typical', 'for', 'star', 'forming', 'regions', '2m1101b', 'is', 'the', 'coolest', 'spectral', 'type', 'm825', 'and', 'least', 'massive', 'brown', 'dwarf', 'of', 'chai', 'detected', 'in', 'xrays', 'so', 'far', 'it', 'is', 'also', 'among', 'the', 'youngest', '1', 'myr', 'substellar', 'chai', 'members', 'and', 'therefore', 'relatively', 'luminous', 'most', 'bona', 'fide', 'brown', 'dwarfs', 'of', 'cha', 'i', 'have', 'remained', 'below', 'the', 'sensitivity', 'limits', 'of', 'available', 'xray', 'observations', 'because', 'of', 'their', 'low', 'luminosity', 'associated', 'with', 'higher', 'age']]
|
[-0.024475103401623313, 0.14259442616631055, -0.07800422892018798, 0.09801674476503172, -0.1602014123617361, -0.10861639603750692, 0.10426951579505667, 0.4379841883256588, -0.12867239725033175, -0.34221793305394904, 0.058602550810402526, -0.3524045137156333, -0.008303863161598288, 0.17895938709800593, -0.06521775839708945, -0.045772342876409224, 0.08798926172450938, -0.049709482136226835, -0.058851050246240835, -0.26748267225366795, 0.3244996796872112, 0.06808183358627416, 0.07781464136427357, -0.04109353884123266, 0.041121737722174395, -0.10346232258187749, -0.11280012160118315, -0.040289345259467764, -0.12711435774292026, 0.02089598922701996, 0.2609065268676551, 0.11773922901456466, 0.19233725114359654, -0.26970512125020224, -0.19636633688406574, 0.03251487398076625, 0.17640919590014079, -0.09599064826588369, -0.027926225460223143, -0.2519736503666666, 0.07775908019615425, -0.1968507980816953, -0.1841646949339303, 0.09690433972337771, 0.09275175496669752, 0.027015030018186996, -0.20907238547335424, 0.1557782369579876, 0.007586034010940542, 0.09794727593793401, -0.18738914289223474, -0.12834326321746978, -0.04731424476263956, 0.05562911628789845, 0.014343147094006695, 0.09757612174310322, 0.1431989608692848, -0.14455675414231206, -0.041321366156140966, 0.3332106333891196, -0.057817610589942586, 0.07609817201182956, 0.3191827108628959, -0.23335453783206286, -0.2517533192211496, 0.1928222435482201, 0.06669486678660004, 0.15005685043579434, -0.17901193135462345, 0.003863323313444631, -0.028529793018519524, 0.2574964764978393, 0.052670677698084284, 0.12015300514176488, 0.3837672598416074, 0.11789282458720707, 0.01624310628113952, 0.1150592932269709, -0.3247123932050142, -0.002640744655703505, -0.1972529274123233, -0.07469610722646827, -0.14531577447917135, 0.1116852065382686, -0.08988690731036643, -0.13719231573909166, 0.29809743933202254, 0.08936544969522704, 0.19894190565461203, 0.020910076324694923, 0.30592489463410205, 0.10228296219831377, 0.13278788142820952, 0.12007990813304094, 0.33590412870315567, 0.20159085468455618, 0.080623809248209, -0.24959335972172475, 0.08236272564501546, -0.020545842454192186]
|
706.2302
|
Measuring the surface stress polar dependence
|
While measurements of the polar dependence of the surface free energy are
easily available, measurements of the whole polar dependence of the surface
stress of a crystal do not exist. In this paper is presented a new procedure
that allows, for the first time, the experimental determination of the surface
stress polar dependence of a crystal. For this purpose (1) electromigration is
used to control the kinetic faceting of surface orientations that belong to the
equilibrium shape of the crystal and (2) for each destabilised surface, the
period of faceting as well as the crystallographic angles of the appearing
facets are measured by AFM. The so-obtained data lead to a set of equations
whose mathematical solution, compatible with physical constraints, gives access
to the surface stress polar dependence of the whole crystal and thus to a
better understanding of surface stress properties.
|
cond-mat.mtrl-sci
|
while measurements of the polar dependence of the surface free energy are easily available measurements of the whole polar dependence of the surface stress of a crystal do not exist in this paper is presented a new procedure that allows for the first time the experimental determination of the surface stress polar dependence of a crystal for this purpose 1 electromigration is used to control the kinetic faceting of surface orientations that belong to the equilibrium shape of the crystal and 2 for each destabilised surface the period of faceting as well as the crystallographic angles of the appearing facets are measured by afm the soobtained data lead to a set of equations whose mathematical solution compatible with physical constraints gives access to the surface stress polar dependence of the whole crystal and thus to a better understanding of surface stress properties
|
[['while', 'measurements', 'of', 'the', 'polar', 'dependence', 'of', 'the', 'surface', 'free', 'energy', 'are', 'easily', 'available', 'measurements', 'of', 'the', 'whole', 'polar', 'dependence', 'of', 'the', 'surface', 'stress', 'of', 'a', 'crystal', 'do', 'not', 'exist', 'in', 'this', 'paper', 'is', 'presented', 'a', 'new', 'procedure', 'that', 'allows', 'for', 'the', 'first', 'time', 'the', 'experimental', 'determination', 'of', 'the', 'surface', 'stress', 'polar', 'dependence', 'of', 'a', 'crystal', 'for', 'this', 'purpose', '1', 'electromigration', 'is', 'used', 'to', 'control', 'the', 'kinetic', 'faceting', 'of', 'surface', 'orientations', 'that', 'belong', 'to', 'the', 'equilibrium', 'shape', 'of', 'the', 'crystal', 'and', '2', 'for', 'each', 'destabilised', 'surface', 'the', 'period', 'of', 'faceting', 'as', 'well', 'as', 'the', 'crystallographic', 'angles', 'of', 'the', 'appearing', 'facets', 'are', 'measured', 'by', 'afm', 'the', 'soobtained', 'data', 'lead', 'to', 'a', 'set', 'of', 'equations', 'whose', 'mathematical', 'solution', 'compatible', 'with', 'physical', 'constraints', 'gives', 'access', 'to', 'the', 'surface', 'stress', 'polar', 'dependence', 'of', 'the', 'whole', 'crystal', 'and', 'thus', 'to', 'a', 'better', 'understanding', 'of', 'surface', 'stress', 'properties']]
|
[-0.12774695891191737, 0.14840997428252872, -0.11840810638878652, -0.011369328044066337, -0.09119385731419627, -0.08876847732536705, 0.03076189310244009, 0.356629104832266, -0.2842390319778466, -0.3177410187986745, 0.07653177528835597, -0.21717499154400569, -0.11041764895969504, 0.20867789149838564, -0.008263871178660594, 0.05310102329182793, -0.0045810254343168835, 0.016022059781162043, -0.11450378095376974, -0.20464105246273775, 0.293149902178696, 0.07099226304372153, 0.3124873515310317, 0.07360514743961918, 0.08628807260907373, 0.00861722798722888, 0.02377724150604811, 0.03438037295799545, -0.18348274624328093, 0.13410184182338153, 0.23046090971993308, 0.027953059845407243, 0.18028318892236353, -0.4533197152310274, -0.20095783842294673, 0.035745583222129604, 0.08364671621550347, 0.12835015053368948, -0.035192038772076786, -0.1839386057649726, 0.06935559863119688, -0.10057234363859965, -0.15822915664323095, -0.025349962964496563, -0.00017227296074721175, 0.03589552536510049, -0.23537626411949455, 0.09218700283902212, 0.08086072799215145, 0.07887441641323163, -0.14141036641602012, -0.106989646999454, -0.10118571127777998, 0.14836838855539305, 0.06919731909546896, 0.05367670910478845, 0.15078666546500066, -0.09879106471747895, -0.060080960786468546, 0.40596035146482395, -0.03051224663119081, -0.1986312851781996, 0.16868962464250728, -0.17975535600865916, -0.07717390388617633, 0.21130757346670603, 0.1673322402278591, 0.0997321234989754, -0.1466823927205528, 0.05190286911207474, -0.013847583662193845, 0.16856843691227408, 0.061794362627756845, 0.01638220617232818, 0.2020033868636385, 0.16548194363631283, 0.06856986219850435, 0.11951571212619097, -0.13634666299421183, -0.038173817506414166, -0.3347004205381996, -0.1965966878891726, -0.18559090335341827, 0.007331654536115615, -0.07657090851255778, -0.2220903174085936, 0.4130358602654871, 0.08484075544402003, 0.2019867045037501, 0.007913607080847445, 0.24150086551065175, 0.04214150456862908, 0.08811685855758235, 0.015949789631429692, 0.2475629153704061, 0.14756797764017443, 0.07495694575523039, -0.2636685288789138, 0.11433352347673245, 0.013420239002378265]
|
706.2303
|
Riccati equation-based generalization of Dawson's integral function
|
A new generalization of Dawson's integral function based on the link between
a Riccati nonlinear differential equation and a second-order ordinary
differential equation is reported. The MacLaurin expansion of this generalized
function is built up and to this end an explicit formula for a generic cofactor
of a triangular matrix is deduced.
|
math-ph math.MP
|
a new generalization of dawsons integral function based on the link between a riccati nonlinear differential equation and a secondorder ordinary differential equation is reported the maclaurin expansion of this generalized function is built up and to this end an explicit formula for a generic cofactor of a triangular matrix is deduced
|
[['a', 'new', 'generalization', 'of', 'dawsons', 'integral', 'function', 'based', 'on', 'the', 'link', 'between', 'a', 'riccati', 'nonlinear', 'differential', 'equation', 'and', 'a', 'secondorder', 'ordinary', 'differential', 'equation', 'is', 'reported', 'the', 'maclaurin', 'expansion', 'of', 'this', 'generalized', 'function', 'is', 'built', 'up', 'and', 'to', 'this', 'end', 'an', 'explicit', 'formula', 'for', 'a', 'generic', 'cofactor', 'of', 'a', 'triangular', 'matrix', 'is', 'deduced']]
|
[-0.14551025149054253, -0.00503407298478683, -0.14308238074255103, 0.0703902060251074, -0.15970359538466886, -0.12310561552966157, -0.008191574436540786, 0.23663000986338234, -0.3175551091822294, -0.22509124423735416, 0.08746930409688503, -0.27101614533099705, -0.22250169988435048, 0.2174335515144496, -0.01337108936590644, 0.07734852611946945, 0.008719379489775747, 0.06718328815455046, -0.1895779827878309, -0.20324195244421178, 0.3577981592836575, -0.010847746620689018, 0.216028730205905, 0.018929094828378696, 0.23511774285445705, 0.010481489517797645, -0.038258011667774275, -0.024293255168371476, -0.17352545333135191, 0.15084407380513418, 0.20279631772651696, 0.024061762468101315, 0.23912362585990474, -0.3763488421861369, -0.13581296301876697, 0.07859659959705403, 0.123595133334255, 0.08802187353229293, -0.06102066343121875, -0.24752440203267795, 0.05622355939032367, -0.2107820350032013, -0.20528117642523006, -0.035755838182432435, 0.019197543527787693, 0.04713265350661599, -0.34558883972036153, 0.10034909648731208, 0.06083635806750793, 0.0394732351249751, -0.020418595110710997, -0.11889936330799873, 0.029784661403167635, 0.01603397300753456, -0.049159326657760315, 0.01866923543051458, 0.022222353158912692, -0.09513596709495267, -0.07455177669628309, 0.3166701987099189, -0.1382676781907391, -0.2857042918554865, 0.06569741095881909, -0.09027797206698988, -0.11113348599666587, 0.13994259672024503, 0.1515603418318698, 0.1725500671264644, -0.22894519588981682, 0.08746038578996937, -0.08250839894530006, 0.14885292177160198, 0.06392718699330893, -0.08352412774155919, 0.11919328215746926, 0.14520058648374218, 0.07078510211207546, 0.16235728223378268, 0.030955175954239585, -0.14646644942247525, -0.34361960746061343, -0.23052608784144887, -0.17505650580502474, 0.10032763556899646, -0.1352750454002839, -0.23056385959856784, 0.3762940224618293, 0.014512164733157707, 0.20337068171312028, 0.07753921891204439, 0.2767372170033363, 0.3185722493351652, 0.039091415730161734, -0.015258232534576494, 0.176349669253026, 0.2454306113336665, 0.12170195820418975, -0.20287018285643382, 0.04792690550227864, 0.206419201182703]
|
706.2304
|
Charged Condensation
|
We consider Bose-Einstein condensation of massive electrically charged
scalars in a uniform background of charged fermions. We focus on the case when
the scalar condensate screens the background charge, while the net charge of
the system resides on its boundary surface. A distinctive signature of this
substance is that the photon acquires a Lorentz-violating mass in the bulk of
the condensate. Due to this mass, the transverse and longitudinal gauge modes
propagate with different group velocities. We give qualitative arguments that
at high enough densities and low temperatures a charged system of electrons and
helium-4 nuclei, if held together by laboratory devices or by force of gravity,
can form such a substance. We briefly discuss possible manifestations of the
charged condensate in compact astrophysical objects.
|
hep-th
|
we consider boseeinstein condensation of massive electrically charged scalars in a uniform background of charged fermions we focus on the case when the scalar condensate screens the background charge while the net charge of the system resides on its boundary surface a distinctive signature of this substance is that the photon acquires a lorentzviolating mass in the bulk of the condensate due to this mass the transverse and longitudinal gauge modes propagate with different group velocities we give qualitative arguments that at high enough densities and low temperatures a charged system of electrons and helium4 nuclei if held together by laboratory devices or by force of gravity can form such a substance we briefly discuss possible manifestations of the charged condensate in compact astrophysical objects
|
[['we', 'consider', 'boseeinstein', 'condensation', 'of', 'massive', 'electrically', 'charged', 'scalars', 'in', 'a', 'uniform', 'background', 'of', 'charged', 'fermions', 'we', 'focus', 'on', 'the', 'case', 'when', 'the', 'scalar', 'condensate', 'screens', 'the', 'background', 'charge', 'while', 'the', 'net', 'charge', 'of', 'the', 'system', 'resides', 'on', 'its', 'boundary', 'surface', 'a', 'distinctive', 'signature', 'of', 'this', 'substance', 'is', 'that', 'the', 'photon', 'acquires', 'a', 'lorentzviolating', 'mass', 'in', 'the', 'bulk', 'of', 'the', 'condensate', 'due', 'to', 'this', 'mass', 'the', 'transverse', 'and', 'longitudinal', 'gauge', 'modes', 'propagate', 'with', 'different', 'group', 'velocities', 'we', 'give', 'qualitative', 'arguments', 'that', 'at', 'high', 'enough', 'densities', 'and', 'low', 'temperatures', 'a', 'charged', 'system', 'of', 'electrons', 'and', 'helium4', 'nuclei', 'if', 'held', 'together', 'by', 'laboratory', 'devices', 'or', 'by', 'force', 'of', 'gravity', 'can', 'form', 'such', 'a', 'substance', 'we', 'briefly', 'discuss', 'possible', 'manifestations', 'of', 'the', 'charged', 'condensate', 'in', 'compact', 'astrophysical', 'objects']]
|
[-0.1714541800431907, 0.2862547792047262, -0.05357533809915185, 0.06954827975761145, -0.02520995271578431, -0.14118496180325746, 0.017785267814993858, 0.31620496843755247, -0.14010421157255767, -0.279363615045324, 0.006240164713002741, -0.3171523227915168, -0.03846949455887079, 0.11724620732851326, -0.00890216851234436, -0.01687461793469265, 0.0015312119703739882, 0.07486892989045009, -0.046725747813005, -0.1784277996774763, 0.3872280102362856, 0.036955171145498754, 0.2714864617679268, 0.11203949319943786, 0.13123046676442027, -0.010231219694018363, 0.01918912544474006, 0.02170700840651989, -0.11198968425823841, 0.04552193640172481, 0.17042749378271402, 0.0072195931375026706, 0.1723401596173644, -0.44581761479377746, -0.20308235515281559, 0.10538090065680444, 0.1463207634165883, 0.1677719533573836, -0.13105069446563722, -0.30088611802272497, 0.020384034426882865, -0.1734153988212347, -0.18951874902739654, -0.053371509231626986, 0.014945957832038403, -0.007515856951940804, -0.23336810459569096, 0.11591474703792483, 0.030441532969474792, 0.01948952290415764, -0.09901706610538531, -0.08289030130952596, -0.05907653677091002, 0.037812780537875366, 0.12075073765683919, 0.025461543399840594, 0.21654959121346473, -0.19387252972647548, -0.053541674182750285, 0.4068139890432358, -0.12001580809056758, -0.19478916931152343, 0.2137202349510044, -0.22164208740741015, -0.07856963914632797, 0.1315510462494567, 0.20659007881535218, 0.13857457590382546, -0.13943273465207312, 0.09743138284306042, -0.04452070044260472, 0.1508432488888502, 0.07347522488050162, 0.08495502466335893, 0.36964535342156885, 0.1496794955022633, -0.004170969858765602, 0.13045219357684254, -0.08395551181398332, -0.04037033646600321, -0.32574808442220093, -0.19488550684717484, -0.14715672867000104, 0.051190190475434064, -0.07907846936176065, -0.15513161277770995, 0.359265020435676, 0.12147066073940369, 0.18001605650782584, -0.04066832485049963, 0.2945395628362894, 0.07582445437088609, 0.06783186104521155, 0.05751796503737569, 0.2777470791488886, 0.15987626085057854, 0.1358741837106645, -0.2503888490316458, -0.05168034475483, 0.05065528286993504]
|
706.2305
|
Absolute surface energy determination
|
Experimental determination of absolute surface energies remains a challenge.
We propose a simple method based on two independent measurements on 3D and 2D
equilibrium shapes completed by the analysis of the thermal fluctuation of an
isolated step. Using then basic equations (Wulff' theorem, Gibbs-Thomson
equation, thermodynamics fluctuation of an isolated step) allows us to extract
the absolute surface free energy of a singular face. The so-proposed method can
be applied when (i) all orientations exists on the equilibrium shape, (ii) the
surface stress is isotropic. This procedure is applied to the case of Si(111)
where we find a value between 0.59 Jm-2 and 0.83 Jm-2 at 1373 K.
|
cond-mat.mtrl-sci
|
experimental determination of absolute surface energies remains a challenge we propose a simple method based on two independent measurements on 3d and 2d equilibrium shapes completed by the analysis of the thermal fluctuation of an isolated step using then basic equations wulff theorem gibbsthomson equation thermodynamics fluctuation of an isolated step allows us to extract the absolute surface free energy of a singular face the soproposed method can be applied when i all orientations exists on the equilibrium shape ii the surface stress is isotropic this procedure is applied to the case of si111 where we find a value between 059 jm2 and 083 jm2 at 1373 k
|
[['experimental', 'determination', 'of', 'absolute', 'surface', 'energies', 'remains', 'a', 'challenge', 'we', 'propose', 'a', 'simple', 'method', 'based', 'on', 'two', 'independent', 'measurements', 'on', '3d', 'and', '2d', 'equilibrium', 'shapes', 'completed', 'by', 'the', 'analysis', 'of', 'the', 'thermal', 'fluctuation', 'of', 'an', 'isolated', 'step', 'using', 'then', 'basic', 'equations', 'wulff', 'theorem', 'gibbsthomson', 'equation', 'thermodynamics', 'fluctuation', 'of', 'an', 'isolated', 'step', 'allows', 'us', 'to', 'extract', 'the', 'absolute', 'surface', 'free', 'energy', 'of', 'a', 'singular', 'face', 'the', 'soproposed', 'method', 'can', 'be', 'applied', 'when', 'i', 'all', 'orientations', 'exists', 'on', 'the', 'equilibrium', 'shape', 'ii', 'the', 'surface', 'stress', 'is', 'isotropic', 'this', 'procedure', 'is', 'applied', 'to', 'the', 'case', 'of', 'si111', 'where', 'we', 'find', 'a', 'value', 'between', '059', 'jm2', 'and', '083', 'jm2', 'at', '1373', 'k']]
|
[-0.07906594057785016, 0.09159668001686833, -0.14768808329408276, 0.020240680824869496, -0.019817944141714092, -0.14173186979491578, 0.03178881371620102, 0.3606558881317065, -0.25161001091022217, -0.3182084943629175, 0.05897657844351135, -0.2794500404609004, -0.0848376886205417, 0.19766854397325873, -0.02617025547704407, 0.05008549555683526, 0.04590279084987173, 0.02286845371866964, -0.10604873289153954, -0.18573631045069092, 0.29643157375193085, 0.01575365353584568, 0.3201264409679119, 0.07950095467652395, 0.11403010823006664, 0.02507356058471079, 0.025881464131803155, 0.06179325453606303, -0.22374805111316182, 0.10504006110479898, 0.20014716823863857, 0.025426780710268274, 0.2295528489347791, -0.4041917993051705, -0.1430598607754104, 0.09276748237539535, 0.08865963725077215, 0.13423659762222903, -0.007827103032434585, -0.21733632347563925, 0.08240848402362143, -0.09895317361115644, -0.17351277785758687, -0.04920863084251357, 0.0384204773206229, -0.03539469270644901, -0.24935600311260356, 0.14219299986279596, 0.05404398460855064, 0.0729443847993824, -0.12271799825221108, -0.13814766266357117, -0.0631701275053495, 0.11393026590579032, -0.0004118208220733382, 0.047174726369155345, 0.17731017873526733, -0.07807070767794187, -0.03833060549075985, 0.37784331655086273, -0.0626092597920552, -0.19422167279348473, 0.13675466617438767, -0.10333451646963292, -0.10286518299917334, 0.15767697339755632, 0.1277456913909344, 0.1429691188109203, -0.14158287247663004, 0.07726177134851395, -0.00886072618799789, 0.19038627840030206, 0.05294236662649663, -0.08873865516664826, 0.22735093970060627, 0.1634689533504196, 0.07632423099783188, 0.12846722218717196, -0.15334930874746747, -0.041615715733442075, -0.3145342818330799, -0.15915054712166019, -0.20122355752881338, 0.09862879388769827, -0.10442128639519171, -0.17418101690187354, 0.36807513912425976, 0.12181023656495055, 0.20649615740490573, 0.018057286073497245, 0.2699103858093426, 0.11797834891786746, -0.005583720268664238, 0.04736635807105209, 0.24134791464214084, 0.15150409973243895, 0.061211629070028244, -0.2309977077644005, 0.0414149201971209, 0.09664810395790874]
|
706.2306
|
Thermoelectric effects in superconducting proximity structures
|
Attaching a superconductor in good contact with a normal metal makes rise to
a proximity effect where the superconducting correlations leak into the normal
metal. An additional contact close to the first one makes it possible to carry
a supercurrent through the metal. Forcing this supercurrent flow along with an
additional quasiparticle current from one or many normal-metal reservoirs makes
rise to many interesting effects. The supercurrent can be used to tune the
local energy distribution function of the electrons. This mechanism also leads
to finite thermoelectric effects even in the presence of electron-hole
symmetry. Here we review these effects and discuss to which extent the existing
observations of thermoelectric effects in metallic samples can be explained
through the use of the dirty-limit quasiclassical theory.
|
cond-mat.supr-con
|
attaching a superconductor in good contact with a normal metal makes rise to a proximity effect where the superconducting correlations leak into the normal metal an additional contact close to the first one makes it possible to carry a supercurrent through the metal forcing this supercurrent flow along with an additional quasiparticle current from one or many normalmetal reservoirs makes rise to many interesting effects the supercurrent can be used to tune the local energy distribution function of the electrons this mechanism also leads to finite thermoelectric effects even in the presence of electronhole symmetry here we review these effects and discuss to which extent the existing observations of thermoelectric effects in metallic samples can be explained through the use of the dirtylimit quasiclassical theory
|
[['attaching', 'a', 'superconductor', 'in', 'good', 'contact', 'with', 'a', 'normal', 'metal', 'makes', 'rise', 'to', 'a', 'proximity', 'effect', 'where', 'the', 'superconducting', 'correlations', 'leak', 'into', 'the', 'normal', 'metal', 'an', 'additional', 'contact', 'close', 'to', 'the', 'first', 'one', 'makes', 'it', 'possible', 'to', 'carry', 'a', 'supercurrent', 'through', 'the', 'metal', 'forcing', 'this', 'supercurrent', 'flow', 'along', 'with', 'an', 'additional', 'quasiparticle', 'current', 'from', 'one', 'or', 'many', 'normalmetal', 'reservoirs', 'makes', 'rise', 'to', 'many', 'interesting', 'effects', 'the', 'supercurrent', 'can', 'be', 'used', 'to', 'tune', 'the', 'local', 'energy', 'distribution', 'function', 'of', 'the', 'electrons', 'this', 'mechanism', 'also', 'leads', 'to', 'finite', 'thermoelectric', 'effects', 'even', 'in', 'the', 'presence', 'of', 'electronhole', 'symmetry', 'here', 'we', 'review', 'these', 'effects', 'and', 'discuss', 'to', 'which', 'extent', 'the', 'existing', 'observations', 'of', 'thermoelectric', 'effects', 'in', 'metallic', 'samples', 'can', 'be', 'explained', 'through', 'the', 'use', 'of', 'the', 'dirtylimit', 'quasiclassical', 'theory']]
|
[-0.14780329056456684, 0.15537853881926275, -0.09708223284734413, 0.06314269569702446, -0.11458984535373748, -0.1633377741649747, 0.08996143332123756, 0.3540326237082481, -0.29802588833868504, -0.2953782839626074, -0.011578671450726687, -0.32705392561107877, -0.12510331335477531, 0.18212232424132527, -0.011298091758042575, -0.03138308073597727, -0.024523812476545573, -0.010626187175512313, -0.11260937477881089, -0.21565419964492322, 0.30030584163963797, 0.02863479113765061, 0.30536527681723236, 0.10775137822702527, 0.030645338714122772, -0.025054977862164377, 0.05938928494602442, 0.058489785954356194, -0.1065439530685544, 0.0422843060195446, 0.2471812119036913, -0.08054269976168871, 0.22053078801557421, -0.5106822325587272, -0.19385201225429774, 0.07080404879152775, 0.14907565010339022, 0.17798657971899956, -0.036348921893164514, -0.2614977676719427, 0.03242216995358467, -0.19062959107011557, -0.13476217056810855, -0.07072719698399306, -0.04014518417045474, -0.018008019153028725, -0.2595475329719484, 0.0573895408899989, 0.059982748460955915, 0.017126314871013164, -0.0027739718658849597, -0.06359318892657757, -0.053470707576721906, 0.09735423572175204, 0.08030463294684886, 0.015142492610961199, 0.1590540311881341, -0.14188346000388263, -0.06058805496245623, 0.34418148209154603, -0.06588950034230948, -0.16530584644898771, 0.19524370509013533, -0.14906117376685143, -0.0470782848931849, 0.16139042590558528, 0.11614387971907854, 0.06321599807217718, -0.18425690003111958, 0.017472390241455287, -0.0068066856861114505, 0.12874718721583486, 0.01633530393615365, 0.08667051465064288, 0.28901231122389437, 0.1929156258404255, 0.058246995153836904, 0.17375859753414988, -0.10679009167384357, -0.04877302198088728, -0.2865645595565438, -0.18926055274158715, -0.1475608709976077, 0.10842936347983778, -0.03877608979714569, -0.20149564602971076, 0.4060224915910512, 0.2128904641419649, 0.23095160492509603, -0.0828593914648518, 0.2890272714346647, 0.11730750543624163, 0.1135067399777472, 0.030186662390828133, 0.23211180568486453, 0.1710350464787334, 0.06750759948417544, -0.2763823320101947, 0.0867446245700121, -0.017643795136362314]
|
706.2307
|
The periodic table of $n$-categories for low dimensions II: degenerate
tricategories
|
We continue the project begun in ``The periodic table of $n$-categories for
low dimensions I'' by examining degenerate tricategories and comparing them
with the structures predicted by the Periodic table. For triply degenerate
tricategories we exhibit a triequivalence with the partially discrete
tricategory of commutative monoids. For the doubly degenerate case we explain
how to construct a braided monoidal category from a given doubly degenerate
category, but show that this does not induce a straightforward comparison
between \bfseries{BrMonCat} and \bfseries{Tricat}. We show how to alter the
natural structure of \bfseries{Tricat} in two different ways to provide a
comparison, but show that only the more brutal alteration yields an
equivalence. Finally we study degenerate tricategories in order to give the
first fully algebraic definition of monoidal bicategories and the full
tricategory structure \bfseries{MonBicat}.
|
math.CT
|
we continue the project begun in the periodic table of ncategories for low dimensions i by examining degenerate tricategories and comparing them with the structures predicted by the periodic table for triply degenerate tricategories we exhibit a triequivalence with the partially discrete tricategory of commutative monoids for the doubly degenerate case we explain how to construct a braided monoidal category from a given doubly degenerate category but show that this does not induce a straightforward comparison between bfseriesbrmoncat and bfseriestricat we show how to alter the natural structure of bfseriestricat in two different ways to provide a comparison but show that only the more brutal alteration yields an equivalence finally we study degenerate tricategories in order to give the first fully algebraic definition of monoidal bicategories and the full tricategory structure bfseriesmonbicat
|
[['we', 'continue', 'the', 'project', 'begun', 'in', 'the', 'periodic', 'table', 'of', 'ncategories', 'for', 'low', 'dimensions', 'i', 'by', 'examining', 'degenerate', 'tricategories', 'and', 'comparing', 'them', 'with', 'the', 'structures', 'predicted', 'by', 'the', 'periodic', 'table', 'for', 'triply', 'degenerate', 'tricategories', 'we', 'exhibit', 'a', 'triequivalence', 'with', 'the', 'partially', 'discrete', 'tricategory', 'of', 'commutative', 'monoids', 'for', 'the', 'doubly', 'degenerate', 'case', 'we', 'explain', 'how', 'to', 'construct', 'a', 'braided', 'monoidal', 'category', 'from', 'a', 'given', 'doubly', 'degenerate', 'category', 'but', 'show', 'that', 'this', 'does', 'not', 'induce', 'a', 'straightforward', 'comparison', 'between', 'bfseriesbrmoncat', 'and', 'bfseriestricat', 'we', 'show', 'how', 'to', 'alter', 'the', 'natural', 'structure', 'of', 'bfseriestricat', 'in', 'two', 'different', 'ways', 'to', 'provide', 'a', 'comparison', 'but', 'show', 'that', 'only', 'the', 'more', 'brutal', 'alteration', 'yields', 'an', 'equivalence', 'finally', 'we', 'study', 'degenerate', 'tricategories', 'in', 'order', 'to', 'give', 'the', 'first', 'fully', 'algebraic', 'definition', 'of', 'monoidal', 'bicategories', 'and', 'the', 'full', 'tricategory', 'structure', 'bfseriesmonbicat']]
|
[-0.11472733813479863, 0.0835878740518865, -0.04668623869656585, 0.13402102231611934, -0.09688704081963806, -0.14163590256612224, 0.046042979245612514, 0.3908396710176021, -0.3553208249504678, -0.22729831730248407, 0.06167111009290238, -0.21249682291818317, -0.15180732277121933, 0.14184399615623988, -0.12155405578414502, -0.07423727160676208, 0.09322430838801665, 0.036804232424628935, -0.11821455433164374, -0.2346186796166876, 0.42555271249148063, -0.007109445759851951, 0.23145049195591127, 0.013438600057270378, 0.06760152565402677, -0.0281386397246024, -0.016689844607753912, 0.020601765503670322, -0.14495256806787893, 0.1430303461911535, 0.2697271091892617, 0.062364875768253114, 0.17552290969069873, -0.4179192162700929, -0.11084580891110818, 0.12992858190409606, 0.12288897368489415, 0.1342148379299033, -0.0637503426502235, -0.2901693644707848, 0.11974275844295335, -0.2507316945338971, -0.12720382045517908, -0.12144118137439364, 0.025994115945650265, 0.0051886588171328185, -0.21588355182097985, 0.010381879835222207, 0.12588885182049125, 0.051419728376458806, -0.07380891837601666, -0.04949699996086565, -0.06973431575897848, 0.11451235053618802, -0.03593664553409326, -0.05540539589310356, 0.03677915675143595, -0.08198696256840776, -0.13364767731945904, 0.40508123754989356, -0.09274721021893129, -0.19489954823484368, 0.1869682628166629, -0.1749237241492665, -0.16772149050302687, 0.12665862858557375, 0.0840496410146443, 0.1343550147212227, -0.07756163582325826, 0.1038454115866898, -0.12437273172326968, 0.13230995834237547, 0.10062317228585016, 0.020382079819682986, 0.18630346467762138, 0.11543961251118162, 0.05912051143241115, 0.16247992417629575, 0.01381258378455641, -0.09747346689800906, -0.31935993673687335, -0.17286468800739385, -0.03885920732864179, 0.09449602701897675, 0.004083802712898432, -0.20672944824764272, 0.38707385147426976, 0.12787853304325836, 0.2200572700749035, 0.09649479275685735, 0.2125203204632271, 0.04939736896449176, 0.0500503779421706, 0.03418557948771195, 0.21030770789002418, 0.19534766537617543, 0.038048762686230475, -0.13226053724247322, 0.0025110252463491634, 0.11125204555719392]
|
706.2308
|
Spirals on Si(111) at sublimation and growth: REM and LODREM
observations
|
Using recently proposed improvements of Reflection Electron Microsopy (REM)
we study in perfectly controlled thermodynamics conditions spiral shapes and
spirals on Si(111) surface. It is shown that the new method named low
distortion reflection electron microscopy (LODREM) is a powerful instrument,
resolving in much more details (compared with REM) growth or evaporation
spirals at the crystal surface. More precisely, we examine the distance between
two successive steps of a spiral at growth (or evaporation) with respect to the
supersaturation (or undersaturation). It is found that this distance scales
with an exponent close to -1/2. This result, which deviates from the BCF theory
originates from a non local behavior with a slow kinetic of attachment of the
adatoms at the steps.
|
cond-mat.mtrl-sci
|
using recently proposed improvements of reflection electron microsopy rem we study in perfectly controlled thermodynamics conditions spiral shapes and spirals on si111 surface it is shown that the new method named low distortion reflection electron microscopy lodrem is a powerful instrument resolving in much more details compared with rem growth or evaporation spirals at the crystal surface more precisely we examine the distance between two successive steps of a spiral at growth or evaporation with respect to the supersaturation or undersaturation it is found that this distance scales with an exponent close to 12 this result which deviates from the bcf theory originates from a non local behavior with a slow kinetic of attachment of the adatoms at the steps
|
[['using', 'recently', 'proposed', 'improvements', 'of', 'reflection', 'electron', 'microsopy', 'rem', 'we', 'study', 'in', 'perfectly', 'controlled', 'thermodynamics', 'conditions', 'spiral', 'shapes', 'and', 'spirals', 'on', 'si111', 'surface', 'it', 'is', 'shown', 'that', 'the', 'new', 'method', 'named', 'low', 'distortion', 'reflection', 'electron', 'microscopy', 'lodrem', 'is', 'a', 'powerful', 'instrument', 'resolving', 'in', 'much', 'more', 'details', 'compared', 'with', 'rem', 'growth', 'or', 'evaporation', 'spirals', 'at', 'the', 'crystal', 'surface', 'more', 'precisely', 'we', 'examine', 'the', 'distance', 'between', 'two', 'successive', 'steps', 'of', 'a', 'spiral', 'at', 'growth', 'or', 'evaporation', 'with', 'respect', 'to', 'the', 'supersaturation', 'or', 'undersaturation', 'it', 'is', 'found', 'that', 'this', 'distance', 'scales', 'with', 'an', 'exponent', 'close', 'to', '12', 'this', 'result', 'which', 'deviates', 'from', 'the', 'bcf', 'theory', 'originates', 'from', 'a', 'non', 'local', 'behavior', 'with', 'a', 'slow', 'kinetic', 'of', 'attachment', 'of', 'the', 'adatoms', 'at', 'the', 'steps']]
|
[-0.08130498126966058, 0.13614893108973836, -0.132445817781707, 0.06845264318122891, -0.017069201058633153, -0.14959140587351444, 0.02160439803906306, 0.377344992745794, -0.26333320031921237, -0.30172777944491086, 0.03896145885849719, -0.29901862771139814, -0.13730261419007903, 0.1975168710815231, -0.020704247570454568, -0.006124862931447767, -0.0045732124471815966, -0.028056800775861337, -0.09522623007217328, -0.22625966138064357, 0.2938507220321098, 0.1142492735964617, 0.2882740571068884, 0.013143565607853076, 0.07568991002705643, -0.006097269343149106, 0.0351111741215622, 0.04275744509393886, -0.18408052308716263, 0.07456713110618925, 0.17371846074869823, 0.006965904405845677, 0.2249164361569841, -0.4479268772401295, -0.2092368216202022, 0.01581866217193083, 0.10900428337814538, 0.13037101603685325, -0.07738971807308281, -0.23104130580105772, 0.05987926551251341, -0.11332716938637008, -0.16105534001727098, 0.005796019710063682, 0.008991737060753976, 0.004293716625790879, -0.2511191836092621, 0.10742779392985848, 0.05589678190190787, 0.08345739514038156, -0.040669281278358047, -0.05260490727318861, -0.04980552269114276, 0.06666661459475093, 0.06055810081504159, 0.06226734869316283, 0.16657648235164835, -0.09278971894734965, -0.0762674187199544, 0.3589085495194136, -0.04847648409116319, -0.1168430421947328, 0.25447030267993903, -0.20903350967692874, -0.0979664292190445, 0.20198779619472512, 0.11072916654678519, 0.11592650531507018, -0.1133445513866826, 0.03077068253813935, 0.007734448680559457, 0.1985292350478723, 0.13141478549973187, -0.004467660726947805, 0.2170484454481531, 0.1859336579652598, 0.09685394190788521, 0.13353622099384665, -0.12778074122468105, -0.0725288332313678, -0.23990911638395765, -0.12918117254976405, -0.1983505057435388, 0.05532077575986415, -0.07206125477300779, -0.14879124584904738, 0.3484568115406654, 0.06605672233311807, 0.22884423617999686, 0.04695328668458387, 0.2842019274357264, 0.08806245437018194, 0.08489374863773079, 0.08127583993867166, 0.22639418812468648, 0.12865437960283735, 0.09146648205785175, -0.25142270125353994, 0.07609453783923034, 0.040847409378453076]
|
706.2309
|
Formation and Persistence of Spatiotemporal Turing Patterns
|
This article is concerned with the stability and long-time dynamics of
structures arising from a structureless state. The paradigm is suggested by
developmental biology, where morphogenesis is thought to result from a
competition between chemical reactions and spatial diffusion. A system of two
reaction-diffusion equations for the concentrations of two morphogens is
reduced to a finite system of ordinary differential equations. The stability of
bifurcated solutions of this system is analyzed, and the long-time asymptotic
behavior of the bifurcated solutions is established rigorously. The
Schnakenberg and Gierer-Meinhardt equations are discussed as examples.
|
nlin.PS
|
this article is concerned with the stability and longtime dynamics of structures arising from a structureless state the paradigm is suggested by developmental biology where morphogenesis is thought to result from a competition between chemical reactions and spatial diffusion a system of two reactiondiffusion equations for the concentrations of two morphogens is reduced to a finite system of ordinary differential equations the stability of bifurcated solutions of this system is analyzed and the longtime asymptotic behavior of the bifurcated solutions is established rigorously the schnakenberg and gierermeinhardt equations are discussed as examples
|
[['this', 'article', 'is', 'concerned', 'with', 'the', 'stability', 'and', 'longtime', 'dynamics', 'of', 'structures', 'arising', 'from', 'a', 'structureless', 'state', 'the', 'paradigm', 'is', 'suggested', 'by', 'developmental', 'biology', 'where', 'morphogenesis', 'is', 'thought', 'to', 'result', 'from', 'a', 'competition', 'between', 'chemical', 'reactions', 'and', 'spatial', 'diffusion', 'a', 'system', 'of', 'two', 'reactiondiffusion', 'equations', 'for', 'the', 'concentrations', 'of', 'two', 'morphogens', 'is', 'reduced', 'to', 'a', 'finite', 'system', 'of', 'ordinary', 'differential', 'equations', 'the', 'stability', 'of', 'bifurcated', 'solutions', 'of', 'this', 'system', 'is', 'analyzed', 'and', 'the', 'longtime', 'asymptotic', 'behavior', 'of', 'the', 'bifurcated', 'solutions', 'is', 'established', 'rigorously', 'the', 'schnakenberg', 'and', 'gierermeinhardt', 'equations', 'are', 'discussed', 'as', 'examples']]
|
[-0.1652618567560516, 0.1064720788322713, -0.08512683984894387, 0.061571988391021834, 0.004654277354585129, -0.11294948745458185, -0.0286893706323336, 0.239740383458332, -0.3063831737912867, -0.24235077144618591, 0.1258736847059639, -0.2873078886794088, -0.2061262134330995, 0.16294882107404587, -0.02976676742748722, 0.07125607156511092, 0.04367688128663956, 0.01632957694211813, 0.004794714567453965, -0.17326130269540715, 0.34094893430491263, -0.015595727559664974, 0.26618748548967036, 0.0007580406103364152, 0.1363052044483914, -0.09791915594731741, 0.02012646072746619, 0.026448952871799956, -0.15493341049422388, 0.08676686091348529, 0.2614485722278123, 0.08344849614988324, 0.2716126863256447, -0.41857772413641214, -0.23422187765169403, 0.050768301660275975, 0.18810056951706824, 0.15569721026670025, -0.040725352657634925, -0.2885442744312889, 0.05811176074506796, -0.14769007647207574, -0.20970544750984435, -0.01785755361956747, 0.04234038864682509, 0.10195377167142199, -0.24709583426643486, 0.1268452789593974, 0.07946975832221695, 0.08040715863361307, -0.12637775251262254, -0.07578056001575137, -0.06961247214602063, 0.11520937892972775, 0.07790935681069917, -0.06326948443893343, 0.0890673668751412, -0.13682526698761174, -0.10015829504750993, 0.38432700702232186, -0.049335162841168276, -0.2503349299988021, 0.24740708060056457, -0.11590628599515185, -0.07448795280905197, 0.1441527905711985, 0.14888844193141584, 0.14267103335979578, -0.22749470219866413, 0.07948511994555188, -0.0007561720381288425, 0.14578837074298898, 0.05307606665883213, -0.032348920525375593, 0.12546297435334924, 0.2543973491005802, 0.036854929842419275, 0.1460982315728198, -0.0014801141805946827, -0.21205008952908785, -0.2790946546883788, -0.14011511152974612, -0.11865571552239683, 0.08925784692046759, -0.054451748621827195, -0.17992236084588195, 0.38398876101912366, 0.08552015376398744, 0.16007185790120906, 0.016815149032956233, 0.2388784989927207, 0.14332007361530408, -0.037765732055287, -0.005798071987279083, 0.21476699015044648, 0.19915360714683472, 0.18116420606130976, -0.27397813658614684, 0.1037476156666146, 0.10426258044469211]
|
706.231
|
Space-time coding techniques with bit-interleaved coded modulations for
MIMO block-fading channels
|
The space-time bit-interleaved coded modulation (ST-BICM) is an efficient
technique to obtain high diversity and coding gain on a block-fading MIMO
channel. Its maximum-likelihood (ML) performance is computed under ideal
interleaving conditions, which enables a global optimization taking into
account channel coding. Thanks to a diversity upperbound derived from the
Singleton bound, an appropriate choice of the time dimension of the space-time
coding is possible, which maximizes diversity while minimizing complexity.
Based on the analysis, an optimized interleaver and a set of linear precoders,
called dispersive nucleo algebraic (DNA) precoders are proposed. The proposed
precoders have good performance with respect to the state of the art and exist
for any number of transmit antennas and any time dimension. With turbo codes,
they exhibit a frame error rate which does not increase with frame length.
|
cs.IT math.IT
|
the spacetime bitinterleaved coded modulation stbicm is an efficient technique to obtain high diversity and coding gain on a blockfading mimo channel its maximumlikelihood ml performance is computed under ideal interleaving conditions which enables a global optimization taking into account channel coding thanks to a diversity upperbound derived from the singleton bound an appropriate choice of the time dimension of the spacetime coding is possible which maximizes diversity while minimizing complexity based on the analysis an optimized interleaver and a set of linear precoders called dispersive nucleo algebraic dna precoders are proposed the proposed precoders have good performance with respect to the state of the art and exist for any number of transmit antennas and any time dimension with turbo codes they exhibit a frame error rate which does not increase with frame length
|
[['the', 'spacetime', 'bitinterleaved', 'coded', 'modulation', 'stbicm', 'is', 'an', 'efficient', 'technique', 'to', 'obtain', 'high', 'diversity', 'and', 'coding', 'gain', 'on', 'a', 'blockfading', 'mimo', 'channel', 'its', 'maximumlikelihood', 'ml', 'performance', 'is', 'computed', 'under', 'ideal', 'interleaving', 'conditions', 'which', 'enables', 'a', 'global', 'optimization', 'taking', 'into', 'account', 'channel', 'coding', 'thanks', 'to', 'a', 'diversity', 'upperbound', 'derived', 'from', 'the', 'singleton', 'bound', 'an', 'appropriate', 'choice', 'of', 'the', 'time', 'dimension', 'of', 'the', 'spacetime', 'coding', 'is', 'possible', 'which', 'maximizes', 'diversity', 'while', 'minimizing', 'complexity', 'based', 'on', 'the', 'analysis', 'an', 'optimized', 'interleaver', 'and', 'a', 'set', 'of', 'linear', 'precoders', 'called', 'dispersive', 'nucleo', 'algebraic', 'dna', 'precoders', 'are', 'proposed', 'the', 'proposed', 'precoders', 'have', 'good', 'performance', 'with', 'respect', 'to', 'the', 'state', 'of', 'the', 'art', 'and', 'exist', 'for', 'any', 'number', 'of', 'transmit', 'antennas', 'and', 'any', 'time', 'dimension', 'with', 'turbo', 'codes', 'they', 'exhibit', 'a', 'frame', 'error', 'rate', 'which', 'does', 'not', 'increase', 'with', 'frame', 'length']]
|
[-0.230647896233043, 0.007189961694772744, -0.07793897044559178, 0.03795769050008279, -0.0698131105887252, -0.25025073613153037, 0.08044083040405178, 0.38897461466717, -0.2697661392475394, -0.2572848371668387, 0.11707204522099346, -0.20037678653501312, -0.1567921699024737, 0.16390720668785047, -0.13958138254979116, 0.09458585292988132, 0.05193704874501705, 0.07383389081312061, -0.11209910751495045, -0.31642247144499736, 0.2541643908938788, 0.17505385084642153, 0.38356953316939657, -0.04727463275555761, 0.1476792194386662, 0.02643250974219744, -0.0002870409375508175, -0.021455135062393365, -0.12531266893104961, 0.09120020318853979, 0.29872496492426953, 0.2234066475189827, 0.23907746661059331, -0.3553650969300758, -0.26004772501376766, 0.0827110151118232, 0.1741828341707305, 0.10987538096378557, -0.04728548642456052, -0.24595673728706033, 0.1314276329269915, -0.17409647723561097, 0.009050111663810007, -0.007428121583705599, -0.06468434799744775, 0.037817540285301, -0.38008881503871333, -0.007051181561440568, 0.04534735575240726, 0.04239211060727636, -0.0568038044104028, -0.1554147680281224, 0.029206739084188346, 0.1301092279697486, 0.010357666413200963, 0.02983669723846216, 0.06204929043517702, -0.02819728857050932, -0.11029419235900963, 0.3438047936016863, -0.033667400761535675, -0.2786349546460604, 0.14137115309131332, -0.06008775158481898, -0.01688136117511683, 0.23532411885080914, 0.23775460417594083, 0.049282378019680356, -0.14104170912425174, 0.06782231289561781, -0.01633807998741483, 0.2723264380262911, 0.11092034726982203, 0.19517259102554596, 0.13010190990153755, 0.17974977797800393, 0.12362680737296063, 0.14770428012266304, -0.10795510896864333, -0.08288139250582775, -0.2340307568193759, -0.13229657069534756, -0.212021239916794, -0.0035009834178763963, -0.17130597178589652, -0.1353349261917174, 0.35766804025677795, 0.0950740821391457, 0.10726879324735791, 0.14987679633618842, 0.3552333733215081, 0.10800020898717445, 0.07967295674395493, 0.16660576068556332, 0.19806577226369304, 0.1376459887507019, 0.0352952461777904, -0.24895165598497965, 0.06404040166120412, 0.06674672475646455]
|
706.2311
|
Stable crystalline lattices in two-dimensional binary mixtures of
dipolar particles
|
The phase diagram of binary mixtures of particles interacting via a pair
potential of parallel dipoles is computed at zero temperature as a function of
composition and the ratio of their magnetic susceptibilities. Using lattice
sums, a rich variety of different stable crystalline structures is identified
including $A_mB_n$ structures. [$A$ $(B)$ particles correspond to large (small)
dipolar moments.] Their elementary cells consist of triangular, square,
rectangular or rhombic lattices of the $A$ particles with a basis comprising
various structures of $A$ and $B$ particles. For small (dipolar) asymmetry
there are intermediate $AB_2$ and $A_2B$ crystals besides the pure $A$ and $B$
triangular crystals. These structures are detectable in experiments on granular
and colloidal matter.
|
cond-mat.soft cond-mat.stat-mech
|
the phase diagram of binary mixtures of particles interacting via a pair potential of parallel dipoles is computed at zero temperature as a function of composition and the ratio of their magnetic susceptibilities using lattice sums a rich variety of different stable crystalline structures is identified including a_mb_n structures a b particles correspond to large small dipolar moments their elementary cells consist of triangular square rectangular or rhombic lattices of the a particles with a basis comprising various structures of a and b particles for small dipolar asymmetry there are intermediate ab_2 and a_2b crystals besides the pure a and b triangular crystals these structures are detectable in experiments on granular and colloidal matter
|
[['the', 'phase', 'diagram', 'of', 'binary', 'mixtures', 'of', 'particles', 'interacting', 'via', 'a', 'pair', 'potential', 'of', 'parallel', 'dipoles', 'is', 'computed', 'at', 'zero', 'temperature', 'as', 'a', 'function', 'of', 'composition', 'and', 'the', 'ratio', 'of', 'their', 'magnetic', 'susceptibilities', 'using', 'lattice', 'sums', 'a', 'rich', 'variety', 'of', 'different', 'stable', 'crystalline', 'structures', 'is', 'identified', 'including', 'a_mb_n', 'structures', 'a', 'b', 'particles', 'correspond', 'to', 'large', 'small', 'dipolar', 'moments', 'their', 'elementary', 'cells', 'consist', 'of', 'triangular', 'square', 'rectangular', 'or', 'rhombic', 'lattices', 'of', 'the', 'a', 'particles', 'with', 'a', 'basis', 'comprising', 'various', 'structures', 'of', 'a', 'and', 'b', 'particles', 'for', 'small', 'dipolar', 'asymmetry', 'there', 'are', 'intermediate', 'ab_2', 'and', 'a_2b', 'crystals', 'besides', 'the', 'pure', 'a', 'and', 'b', 'triangular', 'crystals', 'these', 'structures', 'are', 'detectable', 'in', 'experiments', 'on', 'granular', 'and', 'colloidal', 'matter']]
|
[-0.18899611670490915, 0.28371971164854753, -0.04017596399675297, 0.02016438566667514, -0.010689133994561513, -0.11447768889169778, 0.030565084271396682, 0.3858836183769513, -0.2502857794742042, -0.2828305168819111, 0.043454619811691214, -0.3010793573560968, -0.08563888152758385, 0.12801771243185267, 0.10922628637419733, 0.01441127192888376, 0.020706109704647577, 0.005599923176377748, -0.08160005512016834, -0.2141111776308956, 0.25533245789068465, -0.013392833891876899, 0.2541285068604403, 0.013904533431395492, 0.09761497835768798, 0.01469003618488797, 0.04931227408918198, 0.07752522602018001, -0.13780866746700046, 0.09459229517806388, 0.18226361487151446, -0.040620427624017526, 0.1267797034893152, -0.4266176505294521, -0.14588238922384592, 0.11032890447258817, 0.13834772857969246, 0.0951183460780576, -0.08868332662871026, -0.24993724058757213, 0.0663023315085741, -0.14116863982800387, -0.13101998395162873, -0.10047698405002599, 0.02070346719428765, 0.11665788376126933, -0.27214715030637726, 0.08868797717047279, 0.07276542480639388, 0.1302009835938173, -0.06298732030941652, -0.18011952564120293, -0.04783189481853681, 0.06647462295409523, -0.020117631796088102, -0.019458896109620028, 0.16941323408659184, -0.149639099443319, -0.11051163221585804, 0.445754710939276, -0.045130227524498724, -0.1793976599449473, 0.24525860734119087, -0.1472169242477852, -0.07703905193283495, 0.20002656672520777, 0.1991910907538789, 0.11851453031124794, -0.09758214040173102, 0.08358555947032766, -0.09354684829909717, 0.1569644340161498, 0.09775078800853045, 0.027158101179958444, 0.33895471556919865, 0.16845872233811338, -0.0028978356745390766, 0.18133054479577504, -0.08686160445172109, -0.09837254845594938, -0.24603049371152522, -0.17281988615878915, -0.21161433899119925, 0.004883738045077936, -0.11794665027180568, -0.26048736696222186, 0.3407626427973794, -0.015208951873391602, 0.22279749293111067, -0.044016277477293544, 0.19693210279873977, 0.024958259449752492, 0.09212988542353702, -0.021908607729504592, 0.18858072485989041, 0.20655962655246587, 0.0749028138404267, -0.18613276456738204, -0.004709089417999561, 0.03707387136394339]
|
706.2312
|
Carrier-carrier entanglement and transport resonances in semiconductor
quantum dots
|
We study theoretically the entanglement created in a scattering between an
electron, incoming from a source lead, and another electron bound in the ground
state of a quantum dot, connected to two leads. We analyze the role played by
the different kinds of resonances in the transmission spectra and by the number
of scattering channels, into the amount of quantum correlations between the two
identical carriers. It is shown that the entanglement between their energy
states is not sensitive to the presence of Breit-Wigner resonances, while it
presents a peculiar behavior in correspondence of Fano peaks: two close maxima
separated by a minimum, for a two-channel scattering, a single maximum for a
multi-channel scattering. Such a behavior is ascribed to the different
mechanisms characterizing the two types of resonances. Our results suggest that
the production and detection of entanglement in quantum dot structures may be
controlled by the manipulation of Fano resonances through external fields.
|
cond-mat.mes-hall quant-ph
|
we study theoretically the entanglement created in a scattering between an electron incoming from a source lead and another electron bound in the ground state of a quantum dot connected to two leads we analyze the role played by the different kinds of resonances in the transmission spectra and by the number of scattering channels into the amount of quantum correlations between the two identical carriers it is shown that the entanglement between their energy states is not sensitive to the presence of breitwigner resonances while it presents a peculiar behavior in correspondence of fano peaks two close maxima separated by a minimum for a twochannel scattering a single maximum for a multichannel scattering such a behavior is ascribed to the different mechanisms characterizing the two types of resonances our results suggest that the production and detection of entanglement in quantum dot structures may be controlled by the manipulation of fano resonances through external fields
|
[['we', 'study', 'theoretically', 'the', 'entanglement', 'created', 'in', 'a', 'scattering', 'between', 'an', 'electron', 'incoming', 'from', 'a', 'source', 'lead', 'and', 'another', 'electron', 'bound', 'in', 'the', 'ground', 'state', 'of', 'a', 'quantum', 'dot', 'connected', 'to', 'two', 'leads', 'we', 'analyze', 'the', 'role', 'played', 'by', 'the', 'different', 'kinds', 'of', 'resonances', 'in', 'the', 'transmission', 'spectra', 'and', 'by', 'the', 'number', 'of', 'scattering', 'channels', 'into', 'the', 'amount', 'of', 'quantum', 'correlations', 'between', 'the', 'two', 'identical', 'carriers', 'it', 'is', 'shown', 'that', 'the', 'entanglement', 'between', 'their', 'energy', 'states', 'is', 'not', 'sensitive', 'to', 'the', 'presence', 'of', 'breitwigner', 'resonances', 'while', 'it', 'presents', 'a', 'peculiar', 'behavior', 'in', 'correspondence', 'of', 'fano', 'peaks', 'two', 'close', 'maxima', 'separated', 'by', 'a', 'minimum', 'for', 'a', 'twochannel', 'scattering', 'a', 'single', 'maximum', 'for', 'a', 'multichannel', 'scattering', 'such', 'a', 'behavior', 'is', 'ascribed', 'to', 'the', 'different', 'mechanisms', 'characterizing', 'the', 'two', 'types', 'of', 'resonances', 'our', 'results', 'suggest', 'that', 'the', 'production', 'and', 'detection', 'of', 'entanglement', 'in', 'quantum', 'dot', 'structures', 'may', 'be', 'controlled', 'by', 'the', 'manipulation', 'of', 'fano', 'resonances', 'through', 'external', 'fields']]
|
[-0.18394533263955026, 0.1886671537091212, -0.10307082878425718, 0.07636994782519797, 0.025348834302877227, -0.15571924022609188, 0.046194973156126515, 0.3402329480981514, -0.2562029676421756, -0.30291456475613576, 0.0004575537389985496, -0.32529855252754303, -0.13849228658983784, 0.19613340721135178, 0.017692603483315437, 0.02837354770050414, 0.04483775514132914, 0.028686614968483487, -0.01736859675016134, -0.17096741425414239, 0.35878956776953513, 0.013590495481396155, 0.29347418806846104, 0.12644296752949877, 0.05624186146944281, 0.05034269115947668, 0.05134166154236863, -0.0033514975780440915, -0.08454507939384184, 0.11458003175587604, 0.24958520445131485, 0.03511192007591167, 0.21676370037058668, -0.4171316613413153, -0.19896312786206122, 0.08111501899998515, 0.16405703011644823, 0.1305865248770363, -0.058552634559812085, -0.29658859453855024, 0.029766063300156666, -0.1282702041189036, -0.10292330217818099, -0.02806171824134165, 0.0016266560993127284, -0.007135989590953555, -0.2632402657411031, 0.06873058561656263, 0.04956549522166531, 0.029943462582905925, -0.037870342825208944, -0.0397820093158272, -0.004686040848854088, 0.12814511076637333, 0.006360073016595936, -0.04842765774022067, 0.12017711995229606, -0.15798531509935856, -0.1512250945092209, 0.3393729694097513, -0.07345597615405436, -0.16739959224923365, 0.18931337933266354, -0.1431936208954862, -0.04142644588324812, 0.1642319904099549, 0.1539638367090975, 0.10163273741941779, -0.15948343713197016, 0.017054741984728963, -0.012875857824579843, 0.1532639254936047, 0.0890326704048822, 0.11779079249789638, 0.2624527645267306, 0.11719226048538281, 0.03642352942317244, 0.17718909238390024, -0.13004353513395236, -0.10658855901790723, -0.28887465368475645, -0.14268716474311546, -0.20540560449083006, 0.0709151921779736, -0.039771263877910024, -0.12946644727377252, 0.44100011995422744, 0.08617074566878258, 0.2732019440075683, -0.07495846618567743, 0.27450753039410036, 0.1319165907837751, 0.06375647676402643, 0.04799760351663515, 0.28142262623314895, 0.16874553295633485, 0.04177983215589437, -0.3024482362347865, 0.05476048062705705, -0.023997266449394726]
|
706.2313
|
Cohomology of diffeological spaces and foliations
|
Let (M,F) be a foliated manifold. We study the relationship between the basic
cohomology Hb(M,F) of the foliation and the De Rham cohomology H(DF) of the
space of leaves M/F as a quotient diffeological space. We prove that for an
arbitrary foliation there is a morphism from H(DF) to Hb(M,F). It is an
isomorphism when F is a Q-foliation.
|
math.DG
|
let mf be a foliated manifold we study the relationship between the basic cohomology hbmf of the foliation and the de rham cohomology hdf of the space of leaves mf as a quotient diffeological space we prove that for an arbitrary foliation there is a morphism from hdf to hbmf it is an isomorphism when f is a qfoliation
|
[['let', 'mf', 'be', 'a', 'foliated', 'manifold', 'we', 'study', 'the', 'relationship', 'between', 'the', 'basic', 'cohomology', 'hbmf', 'of', 'the', 'foliation', 'and', 'the', 'de', 'rham', 'cohomology', 'hdf', 'of', 'the', 'space', 'of', 'leaves', 'mf', 'as', 'a', 'quotient', 'diffeological', 'space', 'we', 'prove', 'that', 'for', 'an', 'arbitrary', 'foliation', 'there', 'is', 'a', 'morphism', 'from', 'hdf', 'to', 'hbmf', 'it', 'is', 'an', 'isomorphism', 'when', 'f', 'is', 'a', 'qfoliation']]
|
[-0.24191565547204977, 0.06290603312715705, -0.18468916003725358, 0.1001236096469386, -0.1277486656659416, -0.10074899728143853, -0.06410921508047197, 0.35108875163963865, -0.3711094191031797, -0.1970512322482786, 0.07409898648204814, -0.21227566690816144, -0.1684707590029575, 0.1457263368065469, -0.17993875935540668, -0.09340581863320299, 0.054102930024133196, 0.12834089126304857, -0.09413849565316923, -0.22587231697564544, 0.5038603924747024, 0.007149642216973007, 0.20744797281388724, 0.0226533948028061, 0.19399254256859422, -0.021257346994908794, 0.06183204287663102, -0.009290338249619319, -0.16010071136471588, 0.07815202802885324, 0.32198254318375674, 0.11381416210289379, 0.23817187309032306, -0.29308075273209916, -0.12742409253093814, 0.24394059818171496, 0.1451985000167042, -0.030610981961217476, -0.0029066419769411106, -0.3118585378729871, 0.12440856890420296, -0.10942129654410694, -0.12235825543757528, -0.055587537586688995, 0.07261683773582003, -0.047126621644045893, -0.20195837974149203, -0.05629259378682556, 0.07194125619051712, 0.1462350974990321, -0.11814462354439977, 0.005050526283282254, -0.14108810560511692, 0.08003596659494049, -0.01671627173449711, 0.17090685136333508, 0.12561249940855695, -0.04795741262413295, -0.11066337759673063, 0.3471718538286431, -0.12605318181782163, -0.2437702895009092, 0.09865030973950135, -0.15664246322454087, -0.19638500754289062, 0.09607485705055296, 0.014492119097017817, 0.17957959245177335, 0.01745909348781944, 0.23964582363571804, -0.08537688951141068, 0.10085490513925574, 0.08494641018166606, -0.07704754149641044, 0.15289408661608053, 0.15907682609395124, 0.17551292962993362, 0.09198348850934833, -0.019733985686408623, -0.043439017941376994, -0.3682701414717095, -0.2972969863372522, -0.11455851041578821, 0.1863610477552616, -0.13456056764256832, -0.19803871044756047, 0.3757485908156793, 0.03579114445684744, 0.2512375657346898, 0.1186570614975478, 0.2642637256316708, 0.06355267335519395, 0.0368284631986171, 0.09158760228560173, 0.13621870155579277, 0.2584651583206973, -0.009695371380075812, -0.11328418663054306, -0.037454061734024435, 0.19956402397448464]
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.