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 |
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709.3135 | A Kondo lattice antiferromagnet CePd5Al2 | We report on the electrical resistivity, magnetic susceptibility and
heat-capacity measurements on a new intermetallic compound CePd5Al2,
crystallizing in the ZrNi2Al5-type tetragonal structure, with lattice
parameters a = 4.156 A and c = 14.883 A. The compound presents Kondo lattice
behavior and an easy-plane antiferromagnetic ground state with two magnetic
transitions at 2.9 K and 3.9 K. The Sommerfeld coefficient is estimated as 60
mJ/mol K^2.
| cond-mat.str-el cond-mat.mtrl-sci | we report on the electrical resistivity magnetic susceptibility and heatcapacity measurements on a new intermetallic compound cepd5al2 crystallizing in the zrni2al5type tetragonal structure with lattice parameters a 4156 a and c 14883 a the compound presents kondo lattice behavior and an easyplane antiferromagnetic ground state with two magnetic transitions at 29 k and 39 k the sommerfeld coefficient is estimated as 60 mjmol k2 | [['we', 'report', 'on', 'the', 'electrical', 'resistivity', 'magnetic', 'susceptibility', 'and', 'heatcapacity', 'measurements', 'on', 'a', 'new', 'intermetallic', 'compound', 'cepd5al2', 'crystallizing', 'in', 'the', 'zrni2al5type', 'tetragonal', 'structure', 'with', 'lattice', 'parameters', 'a', '4156', 'a', 'and', 'c', '14883', 'a', 'the', 'compound', 'presents', 'kondo', 'lattice', 'behavior', 'and', 'an', 'easyplane', 'antiferromagnetic', 'ground', 'state', 'with', 'two', 'magnetic', 'transitions', 'at', '29', 'k', 'and', '39', 'k', 'the', 'sommerfeld', 'coefficient', 'is', 'estimated', 'as', '60', 'mjmol', 'k2']] | [-0.23256596736609936, 0.24709175616625856, 0.003855244768020071, -0.08721775893450211, -0.1032561117813724, -0.160964787708687, 0.18463490402600805, 0.3633177919173995, -0.24123580017905744, -0.29230874317285954, 0.03438396492140887, -0.421958754175022, -0.08799699648115479, 0.16383636034414417, 0.15391701782030648, 0.005730589622723274, -0.051976508388417914, 0.06994225525251421, -0.14489892993855183, -0.2407156105618924, 0.2124608948971832, 0.015072166889173086, 0.2753350021256531, 0.09179876847803349, 0.04658028965846437, -0.01614984816520429, 0.21046378213118333, 0.017656044839866093, -0.21398027094661212, -0.0038554757741875337, 0.23305043291117325, -0.1546837065071173, 0.09430168184726576, -0.29599759136860976, -0.1954219959920547, -0.047557018880472805, 0.056026884156172393, 0.05948343811953654, -0.04788960455764146, -0.2779404025402714, 0.06489060669526701, -0.10702398103341217, -0.06389313444712764, -0.15236816808703493, -0.043641406493108784, -0.08230853088764993, -0.3132261974769492, 0.15439235537358728, 0.05032369723833609, 0.2633814147108647, -0.17873040294335757, -0.26941530675184533, 0.0007950471653068652, -0.02424647907161566, 0.026760251074265995, 0.12523076791682694, 0.1248313864677778, -0.07419430873677378, -0.11053418184890122, 0.3887997702466416, -0.07263485805635325, 0.036993769724609056, 0.10097318324336751, -0.21994888677154897, -0.13825179767779638, 0.2023235835577743, 0.10782384579298926, 0.0787679030269873, -0.15235232054274989, 0.10010030118702742, -0.025682651300410756, 0.22347977543707753, -0.012920865277591788, 0.005177455442789637, 0.18559811707036417, 0.18069983307333265, -0.01615096885924701, 0.2008874359479571, -0.1913126465696536, 0.0074191365036044695, -0.18870022273088088, -0.18841349473986468, -0.20956075764032173, 0.14816391416138314, -0.12356108607873167, -0.16207743396211538, 0.3536229682551911, 0.09393049629985309, 0.24273478865745615, -0.09514129607648146, 0.17619542098130847, 0.011067889665146588, 0.03043682596333264, 0.096344294009318, 0.168457494651685, 0.23786897235931675, 0.20548401400446892, -0.3249588178577604, 0.0953756721659762, 0.0007991914744259882] |
709.3136 | Bulk scalar field in DGP braneworld cosmology | We investigated the effects of bulk scalar field in the braneworld
cosmological scenario. The Friedmann equations and acceleration condition in
presence of the bulk scalar field for a zero tension brane and cosmological
constant are studied. In DGP model the effective Einstein equation on the brane
is obtained with bulk scalar field. The rescaled bulk scalar field on the brane
in the DGP model behaves as an effective four dimensional field, thus standard
type cosmology is recovered. In present study of the DGP model, the late-time
accelerating phase of the universe can be explained .
| gr-qc | we investigated the effects of bulk scalar field in the braneworld cosmological scenario the friedmann equations and acceleration condition in presence of the bulk scalar field for a zero tension brane and cosmological constant are studied in dgp model the effective einstein equation on the brane is obtained with bulk scalar field the rescaled bulk scalar field on the brane in the dgp model behaves as an effective four dimensional field thus standard type cosmology is recovered in present study of the dgp model the latetime accelerating phase of the universe can be explained | [['we', 'investigated', 'the', 'effects', 'of', 'bulk', 'scalar', 'field', 'in', 'the', 'braneworld', 'cosmological', 'scenario', 'the', 'friedmann', 'equations', 'and', 'acceleration', 'condition', 'in', 'presence', 'of', 'the', 'bulk', 'scalar', 'field', 'for', 'a', 'zero', 'tension', 'brane', 'and', 'cosmological', 'constant', 'are', 'studied', 'in', 'dgp', 'model', 'the', 'effective', 'einstein', 'equation', 'on', 'the', 'brane', 'is', 'obtained', 'with', 'bulk', 'scalar', 'field', 'the', 'rescaled', 'bulk', 'scalar', 'field', 'on', 'the', 'brane', 'in', 'the', 'dgp', 'model', 'behaves', 'as', 'an', 'effective', 'four', 'dimensional', 'field', 'thus', 'standard', 'type', 'cosmology', 'is', 'recovered', 'in', 'present', 'study', 'of', 'the', 'dgp', 'model', 'the', 'latetime', 'accelerating', 'phase', 'of', 'the', 'universe', 'can', 'be', 'explained']] | [-0.16527539719530243, 0.1366412461144872, -0.0815992628699763, 0.11283181348884914, -0.11726028918031048, -0.19184082058416876, -0.10748072464682876, 0.26869056248006984, -0.18029602244496346, -0.28037162878094835, 0.032158875211260894, -0.2247617614871644, -0.07969326923224837, 0.12702267864927094, -0.006568105187901157, -0.04100058924287875, -0.05134407703348614, 0.06786545957537725, -0.03285528607468339, -0.28546676041181895, 0.3850975008186032, 0.07209966600218669, 0.2684107936145936, -0.025196493187166276, 0.09656426845554342, -0.08243971522104868, 0.021521174982982748, 0.10695954114991299, -0.20248771965147017, 0.0027543381079436933, 0.12122629932127893, 0.05353738562738959, 0.16772268347917718, -0.43331569270726217, -0.334714233389798, 0.10411234018690091, 0.1827287936751592, 0.19087053753158195, -0.05828721013583956, -0.2948038560694995, 0.02907126138303825, -0.1449445564512837, -0.1717247272187725, 0.0025668035340594485, -0.06409607211281447, -0.13003139764793772, -0.23032290948198197, 0.17134257932775654, -0.037999504964124964, -0.01679639941319189, -0.15365064013353052, -0.07203387078195017, -0.0456424041631374, -0.009231082337135647, 0.17964813550017736, 0.044211269254756574, 0.15429843306799043, -0.20401258154890187, -0.06379952341159607, 0.4045841974761099, -0.2517430501608574, -0.2115575070938769, 0.07813229954781685, -0.14778285572661998, -0.049253033360149315, 0.04839031390122515, 0.10452187580472612, 0.12798229950737763, -0.16160278122852298, 0.2778129349103534, 0.0447244267623396, 0.10881895059719682, 0.0734512543929939, -0.0024420038420469204, 0.3172078455025528, 0.15409586733167477, -0.03448744443185786, 0.12408943840505635, -0.043165841628425815, -0.1362095924039827, -0.4095688787229518, -0.1704657080563459, -0.15755117866408794, 0.07866600032975064, -0.26576140781021135, -0.2204814229923439, 0.3723464502378347, 0.11733315057960894, 0.13706756221189936, 0.006836928674911565, 0.24767105766829658, 0.07706010177052837, 0.022554047888719498, 0.07992239882971378, 0.36741160548866747, 0.14028359151029207, 0.16732564975725525, -0.26799688453568105, -0.09227988363659763, 0.08809006662960066] |
709.3137 | Observation of photon-assisted tunneling in optical lattices | We have observed tunneling suppression and photon-assisted tunneling of
Bose-Einstein condensates in an optical lattice subjected to a constant force
plus a sinusoidal shaking. For a sufficiently large constant force, the ground
energy levels of the lattice are shifted out of resonance and tunneling is
suppressed; when the shaking is switched on, the levels are coupled by
low-frequency photons and tunneling resumes. Our results agree well with
theoretical predictions and demonstrate the usefulness of optical lattices for
studying solid-state phenomena.
| cond-mat.soft | we have observed tunneling suppression and photonassisted tunneling of boseeinstein condensates in an optical lattice subjected to a constant force plus a sinusoidal shaking for a sufficiently large constant force the ground energy levels of the lattice are shifted out of resonance and tunneling is suppressed when the shaking is switched on the levels are coupled by lowfrequency photons and tunneling resumes our results agree well with theoretical predictions and demonstrate the usefulness of optical lattices for studying solidstate phenomena | [['we', 'have', 'observed', 'tunneling', 'suppression', 'and', 'photonassisted', 'tunneling', 'of', 'boseeinstein', 'condensates', 'in', 'an', 'optical', 'lattice', 'subjected', 'to', 'a', 'constant', 'force', 'plus', 'a', 'sinusoidal', 'shaking', 'for', 'a', 'sufficiently', 'large', 'constant', 'force', 'the', 'ground', 'energy', 'levels', 'of', 'the', 'lattice', 'are', 'shifted', 'out', 'of', 'resonance', 'and', 'tunneling', 'is', 'suppressed', 'when', 'the', 'shaking', 'is', 'switched', 'on', 'the', 'levels', 'are', 'coupled', 'by', 'lowfrequency', 'photons', 'and', 'tunneling', 'resumes', 'our', 'results', 'agree', 'well', 'with', 'theoretical', 'predictions', 'and', 'demonstrate', 'the', 'usefulness', 'of', 'optical', 'lattices', 'for', 'studying', 'solidstate', 'phenomena']] | [-0.17767294881050474, 0.24997417804715952, -0.03935918856295757, 0.041880616490379906, 0.004542365181259811, -0.19093070845701732, 0.07541871452704071, 0.39530975816305725, -0.22937329690903424, -0.2624115173937753, 0.023328533592575695, -0.3163147263461724, -0.10176780130132101, 0.2273674682888668, 0.038697240815963596, 0.050002888892777264, 0.06658283836441115, -0.01813594144769013, 0.009268367325421422, -0.21814929616521112, 0.2964414260815829, 0.0541513571399264, 0.30194146614521744, 0.1087496459367685, 0.07872342061600648, 0.016485571101657114, 0.040941848023794594, 0.012144523276947438, -0.13617601010482758, 0.035395080642774704, 0.17616010858910158, -0.08662970215664245, 0.20637675179168583, -0.46485373708419503, -0.21236221110448242, 0.039341190434060994, 0.1407567835471127, 0.20872383141249884, -0.06791012779140146, -0.31239025317481717, -0.0379685529449489, -0.11562935361871496, -0.13184526708791963, -0.15699986050021836, 0.01459617234650068, 0.06804379087407142, -0.29161314088560175, 0.10070027806214057, 0.009253588494902942, 0.10671744791325181, -0.09470991076668725, -0.06782815124606714, 0.0049913349212147295, 0.056073797027420366, 0.007023620896507055, 0.03870924583170563, 0.1683306830294896, -0.13629733246634715, -0.13101260343682952, 0.3956016121897846, -0.13526160905603318, -0.12067668491508812, 0.1785228837019531, -0.1574126743071247, -0.01363628973485902, 0.16469843055820094, 0.08803936948534101, 0.05245682272943668, -0.0956688938293155, 0.053980323199357375, 0.013065740873571485, 0.1445454275701195, 0.10246290249051526, 0.05411741401185281, 0.26550425197929145, 0.1942145158565836, 0.001971667239558883, 0.14569887774123344, -0.1305284200789174, -0.10507685040938668, -0.25640345260617325, -0.04313184190541506, -0.23299290428403766, 0.09077410523896105, -0.02333161750502768, -0.15062565508997067, 0.3606842410401441, 0.11312138343928382, 0.22405435889668296, -0.010343748352897818, 0.3328080915904138, 0.19167411181406352, 0.06320637459866703, -0.022400614495563787, 0.30432532480917873, 0.1724165593943326, 0.09304154225974344, -0.3064125142409466, -0.04215472595533356, -0.03656788943335414] |
709.3138 | A comment on Ryser's conjecture for intersecting hypergraphs | Let $\tau(\mathcal{H})$ be the cover number and $\nu(\mathcal{H})$ be the
matching number of a hypergraph $\mathcal{H}$. Ryser conjectured that every
$r$-partite hypergraph $\mathcal{H}$ satisfies the inequality
$\tau(\mathcal{H}) \leq (r-1) \nu (\mathcal{H})$. This conjecture is open for
all $r \ge 4$. For intersecting hypergraphs, namely those with
$\nu(\mathcal{H})=1$, Ryser's conjecture reduces to $\tau(\mathcal{H}) \leq
r-1$. Even this conjecture is extremely difficult and is open for all $ r \ge
6$. For infinitely many $r$ there are examples of intersecting $r$-partite
hypergraphs with $\tau(\mathcal{H})=r-1$, demonstrating the tightness of the
conjecture for such $r$. However, all previously known constructions are not
optimal as they use far too many edges. How sparse can an intersecting
$r$-partite hypergraph be, given that its cover number is as large as possible,
namely $\tau(\mathcal{H}) \ge r-1$? In this paper we solve this question for $r
\le 5$, give an almost optimal construction for $r=6$, prove that any
$r$-partite intersecting hypergraph with $\tau(H) \ge r-1$ must have at least
$(3-\frac{1}{\sqrt{18}})r(1-o(1)) \approx 2.764r(1-o(1))$ edges, and conjecture
that there exist constructions with $\Theta(r)$ edges.
| math.CO | let taumathcalh be the cover number and numathcalh be the matching number of a hypergraph mathcalh ryser conjectured that every rpartite hypergraph mathcalh satisfies the inequality taumathcalh leq r1 nu mathcalh this conjecture is open for all r ge 4 for intersecting hypergraphs namely those with numathcalh1 rysers conjecture reduces to taumathcalh leq r1 even this conjecture is extremely difficult and is open for all r ge 6 for infinitely many r there are examples of intersecting rpartite hypergraphs with taumathcalhr1 demonstrating the tightness of the conjecture for such r however all previously known constructions are not optimal as they use far too many edges how sparse can an intersecting rpartite hypergraph be given that its cover number is as large as possible namely taumathcalh ge r1 in this paper we solve this question for r le 5 give an almost optimal construction for r6 prove that any rpartite intersecting hypergraph with tauh ge r1 must have at least 3frac1sqrt18r1o1 approx 2764r1o1 edges and conjecture that there exist constructions with thetar edges | [['let', 'taumathcalh', 'be', 'the', 'cover', 'number', 'and', 'numathcalh', 'be', 'the', 'matching', 'number', 'of', 'a', 'hypergraph', 'mathcalh', 'ryser', 'conjectured', 'that', 'every', 'rpartite', 'hypergraph', 'mathcalh', 'satisfies', 'the', 'inequality', 'taumathcalh', 'leq', 'r1', 'nu', 'mathcalh', 'this', 'conjecture', 'is', 'open', 'for', 'all', 'r', 'ge', '4', 'for', 'intersecting', 'hypergraphs', 'namely', 'those', 'with', 'numathcalh1', 'rysers', 'conjecture', 'reduces', 'to', 'taumathcalh', 'leq', 'r1', 'even', 'this', 'conjecture', 'is', 'extremely', 'difficult', 'and', 'is', 'open', 'for', 'all', 'r', 'ge', '6', 'for', 'infinitely', 'many', 'r', 'there', 'are', 'examples', 'of', 'intersecting', 'rpartite', 'hypergraphs', 'with', 'taumathcalhr1', 'demonstrating', 'the', 'tightness', 'of', 'the', 'conjecture', 'for', 'such', 'r', 'however', 'all', 'previously', 'known', 'constructions', 'are', 'not', 'optimal', 'as', 'they', 'use', 'far', 'too', 'many', 'edges', 'how', 'sparse', 'can', 'an', 'intersecting', 'rpartite', 'hypergraph', 'be', 'given', 'that', 'its', 'cover', 'number', 'is', 'as', 'large', 'as', 'possible', 'namely', 'taumathcalh', 'ge', 'r1', 'in', 'this', 'paper', 'we', 'solve', 'this', 'question', 'for', 'r', 'le', '5', 'give', 'an', 'almost', 'optimal', 'construction', 'for', 'r6', 'prove', 'that', 'any', 'rpartite', 'intersecting', 'hypergraph', 'with', 'tauh', 'ge', 'r1', 'must', 'have', 'at', 'least', '3frac1sqrt18r1o1', 'approx', '2764r1o1', 'edges', 'and', 'conjecture', 'that', 'there', 'exist', 'constructions', 'with', 'thetar', 'edges']] | [-0.18948753029551535, 0.1342773281962547, 0.0021525875123361835, 0.059675821934693625, -0.03835870449187323, -0.2854426160296758, -0.045209265909285194, 0.34805620378964314, -0.23740535212259384, -0.3293642303130279, 0.12640499437735084, -0.3410906120067618, -0.10603866008542744, 0.1378742729859715, -0.1232265786522822, -0.0019517884027750586, 0.07816089402573805, 0.04256339888143841, 0.04951640012448132, -0.34273288525097695, 0.24361542432147654, -0.07850023229063179, 0.11462844026876458, 0.12041909139814033, -0.0003505939412640319, 0.027543220164564747, 0.06949444462190427, 0.07629013923412588, -0.2530079714940387, 0.05866772391822278, 0.32606964963529855, 0.22047949769295797, 0.24980401682356992, -0.34206060695353135, -0.13891056510657931, 0.24203141713501064, 0.1963552856634903, 0.019505516614853627, 0.017482530374157552, -0.15634757785924844, 0.19440799646101714, -0.10163348312960893, -0.16889364727068737, 0.0033626598472307834, 0.16232721465140848, -0.027186927788231213, -0.3238112424816271, -0.02203241669450931, 0.14421348036488607, 0.03431185078183522, 0.07073911487532314, -0.21277752166358932, -0.05844436991970897, 0.04391534987094235, -0.05882309219201228, 0.10543662585994407, -0.007561241761972529, -0.06898917049624115, -0.09978922044891599, 0.3122676800648194, 0.00848868275837352, -0.15404758053842843, 0.10236326964860339, -0.12883439736712413, -0.23286089849924402, 0.10669676236076546, 0.031149422575253993, 0.16860677331264706, -0.023373520630966163, 0.21775963774659127, -0.212461426875615, 0.10802785105798171, 0.2101180334242859, 0.07144396170042455, 0.12365252709077183, 0.07734489957441665, 0.1799137958334454, 0.11016737514555211, 0.014858236708234818, 0.08493667090044169, -0.3399684132032451, -0.11560277756559247, -0.2348609393028753, 0.14578215788554058, -0.17922467632481476, -0.16430791571786227, 0.3031094747309994, 0.11135939974614996, 0.18411084067719502, 0.1357152665829441, 0.16310060847484106, 0.024175978266395674, 0.024116579867820422, 0.21883896747714884, 0.13789731751395656, 0.17336124674572298, -0.07313478978106841, -0.07477581093518806, 0.024638087466536535, 0.11581733401787157] |
709.3139 | Plane Symmetric Gravitational Collapse | In this paper, we derive the general formulation by considering two arbitrary
plane symmetric spacetimes using Israel's method. As an example, we apply this
formulation to known plane symmetric spacetimes. We take the Taub's static
metric in the interior region whereas Kasner's non-static metric in the
exterior region. It is shown that the plane collapses in some cases whereas it
expands in some other cases.
| gr-qc | in this paper we derive the general formulation by considering two arbitrary plane symmetric spacetimes using israels method as an example we apply this formulation to known plane symmetric spacetimes we take the taubs static metric in the interior region whereas kasners nonstatic metric in the exterior region it is shown that the plane collapses in some cases whereas it expands in some other cases | [['in', 'this', 'paper', 'we', 'derive', 'the', 'general', 'formulation', 'by', 'considering', 'two', 'arbitrary', 'plane', 'symmetric', 'spacetimes', 'using', 'israels', 'method', 'as', 'an', 'example', 'we', 'apply', 'this', 'formulation', 'to', 'known', 'plane', 'symmetric', 'spacetimes', 'we', 'take', 'the', 'taubs', 'static', 'metric', 'in', 'the', 'interior', 'region', 'whereas', 'kasners', 'nonstatic', 'metric', 'in', 'the', 'exterior', 'region', 'it', 'is', 'shown', 'that', 'the', 'plane', 'collapses', 'in', 'some', 'cases', 'whereas', 'it', 'expands', 'in', 'some', 'other', 'cases']] | [-0.13962233928927723, 0.03706334448406079, -0.06314174392475531, 0.0839668255782901, -0.09451822231595333, -0.11794316209852695, -0.023346640941543647, 0.3560024966843999, -0.20841861611876925, -0.21960146107639258, 0.12528677402744787, -0.240156872681557, -0.1900094109802292, 0.15791573049142382, -0.07689464600273194, -0.0358310614605076, -0.011615299404813694, 0.05212606789114384, -0.11266342336670138, -0.21102231111950598, 0.3808789416001393, -0.012417706030492599, 0.26839273632145844, 0.017914988845586777, 0.07246393959682722, 0.026483723026915238, 0.01852428764104843, 0.11259259147107234, -0.16404134304175386, 0.028289217645159133, 0.24123969838524667, 0.1316750961284225, 0.18253889315260144, -0.37606705458691486, -0.2497242474856858, 0.0989282614354474, 0.17113108250240866, 0.16060487613655053, -0.05508739512700301, -0.2807392451339043, 0.06382027660281613, -0.18557319324463606, -0.21208202935611972, -0.017263157841248006, 0.02575746185074632, -0.06378218184870023, -0.2154796210045998, 0.06360863129106852, 0.12825072679955227, -0.06239226708331933, -0.13975239985694105, -0.06941639612464665, 0.022026951940586934, 0.07624405142492972, 0.05584906650922046, 0.07015790389850736, 0.06534285488305613, -0.04259192605431263, -0.0385735568518822, 0.3872485917706329, -0.01935120941354678, -0.3156804813215366, 0.12926816424498191, -0.211321696288024, -0.11580814861764128, 0.0823102487072062, 0.1487770179940316, 0.2619168501633864, -0.13341405908218942, 0.17068425558077602, -0.07096444471524312, 0.07830204996504248, 0.15468290854030503, -0.029146432478088312, 0.18492845851354875, 0.058185795751901775, 0.08927770375918884, 0.2402103327940075, -0.05823031222591033, -0.18523346044373915, -0.34685912006176434, -0.13228318891846216, -0.11155304053189376, 0.030085435624306017, -0.1337356668144751, -0.18119863114239146, 0.31484189517258737, 0.11266757822953738, 0.15183802944822952, 0.013959668705669732, 0.29956486634910107, 0.0782358626745498, 0.01214622466180187, 0.1515091563288409, 0.28336808353823684, 0.12758004458692784, 0.12433680669906047, -0.1332961077372042, -0.012754985876381398, 0.0845009586129051] |
709.314 | Some Relations between Rank, Chromatic Number and Energy of Graphs | The energy of a graph $G$, denoted by $E(G)$, is defined as the sum of the
absolute values of all eigenvalues of $G$. Let $G$ be a graph of order $n$ and
${\rm rank}(G)$ be the rank of the adjacency matrix of $G$. In this paper we
characterize all graphs with $E(G)={\rm rank}(G)$. Among other results we show
that apart from a few families of graphs, $E(G)\geq 2\max(\chi(G),
n-\chi(\bar{G}))$, where $n$ is the number of vertices of $G$, $\bar{G}$ and
$\chi(G)$ are the complement and the chromatic number of $G$, respectively.
Moreover some new lower bounds for $E(G)$ in terms of ${\rm rank}(G)$ are
given.
| math.CO | the energy of a graph g denoted by eg is defined as the sum of the absolute values of all eigenvalues of g let g be a graph of order n and rm rankg be the rank of the adjacency matrix of g in this paper we characterize all graphs with egrm rankg among other results we show that apart from a few families of graphs eggeq 2maxchig nchibarg where n is the number of vertices of g barg and chig are the complement and the chromatic number of g respectively moreover some new lower bounds for eg in terms of rm rankg are given | [['the', 'energy', 'of', 'a', 'graph', 'g', 'denoted', 'by', 'eg', 'is', 'defined', 'as', 'the', 'sum', 'of', 'the', 'absolute', 'values', 'of', 'all', 'eigenvalues', 'of', 'g', 'let', 'g', 'be', 'a', 'graph', 'of', 'order', 'n', 'and', 'rm', 'rankg', 'be', 'the', 'rank', 'of', 'the', 'adjacency', 'matrix', 'of', 'g', 'in', 'this', 'paper', 'we', 'characterize', 'all', 'graphs', 'with', 'egrm', 'rankg', 'among', 'other', 'results', 'we', 'show', 'that', 'apart', 'from', 'a', 'few', 'families', 'of', 'graphs', 'eggeq', '2maxchig', 'nchibarg', 'where', 'n', 'is', 'the', 'number', 'of', 'vertices', 'of', 'g', 'barg', 'and', 'chig', 'are', 'the', 'complement', 'and', 'the', 'chromatic', 'number', 'of', 'g', 'respectively', 'moreover', 'some', 'new', 'lower', 'bounds', 'for', 'eg', 'in', 'terms', 'of', 'rm', 'rankg', 'are', 'given']] | [-0.1950293926376046, 0.14727892599287717, -0.006920133913666302, -0.02499339316273108, -0.07801144913423295, -0.0849476275901657, 0.01581232566683206, 0.3481333062564041, -0.24776813669093684, -0.37381515604462107, 0.09883299352847696, -0.32540518191515233, -0.12524745139001192, 0.1797918429342555, -0.07917088081183679, -0.01963170594635634, 0.06092212842686065, 0.17659615787823557, -0.029628641220887063, -0.2502413373560343, 0.3195800315953937, -0.07027473907881215, 0.12407287119604721, 0.08379233305287712, 0.04614987726352981, -0.022413970667448845, 0.003007408898031595, 0.07569789123840119, -0.1676254794301891, 0.12480938199259267, 0.26452007703483105, 0.1538940996077715, 0.24348890565007048, -0.35221209597098185, -0.14023559274809325, 0.2488451746986339, 0.09870619302262854, -0.03400984680389657, 0.04934873484878564, -0.2274136586826952, 0.17399303435676677, -0.15331000660308727, -0.05672605114295056, 0.017520350607239877, 0.09902796859729707, 0.06469061287740867, -0.2990089767776868, 0.009793364410927775, 0.06367797993452233, 0.05766040106377035, 0.07757461011893682, -0.23284334031061507, -0.06606142663889948, 0.11942143602223665, -0.02580223486795291, 0.033744505542677404, 0.01290159801240353, -0.12282897611879104, -0.11231720050815128, 0.4085018674423005, -0.0773990558261764, -0.13955378887590533, 0.07998667540046953, -0.17049416380605714, -0.15310360625952335, 0.08249968361547765, 0.1404714284136015, 0.1845793765424591, -0.04535558029059686, 0.15237600047554473, -0.12420458752004539, 0.09335278390505004, 0.09134445670882568, 0.06034810070459749, 0.08579209477951129, 0.1003740066160247, 0.1358372652218403, 0.14003863749973128, -0.0013079960447023896, 0.10529859742953204, -0.33951870009631796, -0.1315947007661795, -0.26103817716505673, 0.07903932638731145, -0.19145198411028033, -0.138785624428077, 0.42090333081489684, 0.08656955164327633, 0.22676076775179335, 0.12402609506206513, 0.19486934976542697, 0.08857342361942773, 0.025615616920678055, 0.16175916903725296, 0.11796292412356135, 0.2251980444895761, -0.0914033677282871, -0.16550233659526223, 0.02590952264590134, 0.143185773887215] |
709.3141 | Local and Global relations between the number of contacts and density in
monodisperse sphere packs | The topological structure resulting from the network of contacts between
grains (\emph{contact network}) is studied for large samples of monosized
spheres with densities (fraction of volume occupied by the spheres) ranging
from 0.59 to 0.64. We retrieve the coordinates of each bead in the pack and we
calculate the average coordination number by using three different methods. We
show that, in the range of density investigated, the coordination number is
larger than 4 and it increases with the packing fraction. At local level we
also observe a positive correlation between local packing fraction and number
of neighbors. We discover a dependence between the local densities of
configurations with few neighbors in contact and the global sample-denities.
This might indicate that local configurations with small number of neighbors
are able to deform plastically when the sample is compactifying.
PACS: 45.70.-n, Granular Systems; 45.70.Cc, Static sandpiles; Granular
Compaction.
| cond-mat.dis-nn cond-mat.soft | the topological structure resulting from the network of contacts between grains emphcontact network is studied for large samples of monosized spheres with densities fraction of volume occupied by the spheres ranging from 059 to 064 we retrieve the coordinates of each bead in the pack and we calculate the average coordination number by using three different methods we show that in the range of density investigated the coordination number is larger than 4 and it increases with the packing fraction at local level we also observe a positive correlation between local packing fraction and number of neighbors we discover a dependence between the local densities of configurations with few neighbors in contact and the global sampledenities this might indicate that local configurations with small number of neighbors are able to deform plastically when the sample is compactifying pacs 4570n granular systems 4570cc static sandpiles granular compaction | [['the', 'topological', 'structure', 'resulting', 'from', 'the', 'network', 'of', 'contacts', 'between', 'grains', 'emphcontact', 'network', 'is', 'studied', 'for', 'large', 'samples', 'of', 'monosized', 'spheres', 'with', 'densities', 'fraction', 'of', 'volume', 'occupied', 'by', 'the', 'spheres', 'ranging', 'from', '059', 'to', '064', 'we', 'retrieve', 'the', 'coordinates', 'of', 'each', 'bead', 'in', 'the', 'pack', 'and', 'we', 'calculate', 'the', 'average', 'coordination', 'number', 'by', 'using', 'three', 'different', 'methods', 'we', 'show', 'that', 'in', 'the', 'range', 'of', 'density', 'investigated', 'the', 'coordination', 'number', 'is', 'larger', 'than', '4', 'and', 'it', 'increases', 'with', 'the', 'packing', 'fraction', 'at', 'local', 'level', 'we', 'also', 'observe', 'a', 'positive', 'correlation', 'between', 'local', 'packing', 'fraction', 'and', 'number', 'of', 'neighbors', 'we', 'discover', 'a', 'dependence', 'between', 'the', 'local', 'densities', 'of', 'configurations', 'with', 'few', 'neighbors', 'in', 'contact', 'and', 'the', 'global', 'sampledenities', 'this', 'might', 'indicate', 'that', 'local', 'configurations', 'with', 'small', 'number', 'of', 'neighbors', 'are', 'able', 'to', 'deform', 'plastically', 'when', 'the', 'sample', 'is', 'compactifying', 'pacs', '4570n', 'granular', 'systems', '4570cc', 'static', 'sandpiles', 'granular', 'compaction']] | [-0.12447938706621632, 0.1931081026518991, -0.035413837757196046, 0.000163052870950603, 0.005026613902691361, -0.07846103092147545, 0.08353890915371973, 0.3724541868135281, -0.2575492806003227, -0.37546217850559244, 0.03698117296794312, -0.34141113812924473, -0.12369587642655193, 0.09997097185448177, 0.001977817113087936, -0.004086314891041679, 0.0034151455693572134, 0.03110734806754268, -0.08067463033415793, -0.26811156054418145, 0.29209303362229905, 0.009909090045448784, 0.26826773161781703, 0.03731884054922648, 0.09101153763948933, 0.026615780345131675, 0.011192733542407518, 0.13003844165217157, -0.17442335407267948, 0.1046716162993514, 0.1983708953126692, 0.038777791927536054, 0.23696026876666484, -0.4344968548224375, -0.1769927367681989, 0.11606848314143978, 0.10549617907312418, 0.09316303195444854, -0.006634834793988954, -0.22542270748400606, 0.13413022207161346, -0.16118219394197728, -0.10719622919007067, -0.0541424660624324, 0.07546514299392075, 0.09102092992019403, -0.2239771495801983, 0.09778161306350193, -0.017316297090683993, 0.06902473537785399, -0.07325922788960951, -0.12531457848885988, -0.07657111726434238, 0.14849728643116736, 0.028274990935725244, 0.009749408547768134, 0.18732375526878906, -0.14053141136109906, -0.017165769659669847, 0.3860035144977949, -0.011068449027277041, -0.1807965851304206, 0.23769605466509824, -0.19540036471000502, -0.11983028014611381, 0.1877945754009501, 0.17671721115695327, 0.10298147112118093, -0.08911277516673798, -0.001125801799141548, -0.059686446853040656, 0.21430567896866298, 0.07801511629412954, -0.002365364295827759, 0.21046707212560242, 0.17568546388350376, 0.10912592161342606, 0.18527003189416966, -0.14873078534863174, -0.1114947016683075, -0.23265150693486203, -0.13568242944099687, -0.22067630991756498, 0.03777052557512701, -0.14677768922858656, -0.13480674546746002, 0.30402814218175267, 0.09841522118044119, 0.26003504842454633, 0.10228676852197029, 0.2415534212755469, 0.037760213356940533, 0.08340939902537665, 0.0975450863019674, 0.22451737272663863, 0.11221262229723739, 0.05290986923582305, -0.19341960195224028, 0.054339888350959945, 0.04872989712992905] |
709.3142 | Aharonov-Bohm-like effect for light propagating in nematics with
disclinations | Using a geometric approach for the propagation of light in anisotropic media,
we investigate what effect the director field of disclinations may have on the
polarization state of light. Parallel transport around the defect, of the
spinor describing the polarization, indicates the acquisition of a topological
phase, in analogy with the Aharonov-Bohm effect.
| cond-mat.soft | using a geometric approach for the propagation of light in anisotropic media we investigate what effect the director field of disclinations may have on the polarization state of light parallel transport around the defect of the spinor describing the polarization indicates the acquisition of a topological phase in analogy with the aharonovbohm effect | [['using', 'a', 'geometric', 'approach', 'for', 'the', 'propagation', 'of', 'light', 'in', 'anisotropic', 'media', 'we', 'investigate', 'what', 'effect', 'the', 'director', 'field', 'of', 'disclinations', 'may', 'have', 'on', 'the', 'polarization', 'state', 'of', 'light', 'parallel', 'transport', 'around', 'the', 'defect', 'of', 'the', 'spinor', 'describing', 'the', 'polarization', 'indicates', 'the', 'acquisition', 'of', 'a', 'topological', 'phase', 'in', 'analogy', 'with', 'the', 'aharonovbohm', 'effect']] | [-0.19163626258454794, 0.19080673947157162, -0.13808558510510988, 0.027071015021921892, -0.06223535094902201, -0.055870359719572764, 0.0061993991850682025, 0.3768179469021424, -0.2629936783802959, -0.28495542541638297, 0.03106555814046483, -0.26331334572531423, -0.16271329070177842, 0.15572894382167538, 0.01701694128613146, 0.013147047343048847, -0.031323353988382055, 0.040820978783984795, -0.06908788327303417, -0.19053661861931379, 0.3551252796929681, -0.0020264471652653984, 0.3510647531387941, 0.0471361953927696, 0.0784392948613836, 0.06871705330064837, -0.006168413977578001, 0.05952184509380527, -0.08221899700474064, 0.1110346792441494, 0.1383256498715436, -0.0009741612780347185, 0.16233816087017502, -0.47685399595296607, -0.24536287032489507, 0.048203339861741044, 0.13823497550175437, 0.184424929004514, -0.07499485941964008, -0.3079890896970371, -0.0060277019675715636, -0.07675805224000283, -0.15978088862491105, -0.011927551027598246, -0.004900563725727206, -0.001993066683973906, -0.19376508291494451, 0.08141983771380389, 0.04393818131472283, 0.11239889815596882, -0.08812094955125226, -0.05901662322675001, -0.04472658867543598, 0.05013124565681759, 0.04301019584022041, 0.049849970872461236, 0.11498484116504495, -0.1970593953452442, -0.1446099619530493, 0.4151673380215213, -0.08380318901343446, -0.19337350655487687, 0.0826406242185325, -0.17967267065772452, -0.04308007552095179, 0.1306982969619193, 0.2116962544760614, 0.10835091073839169, -0.0869480325611976, 0.043401586137852576, -0.014931940952456504, 0.11339702192070138, 0.0606075676931244, 0.07493778086214695, 0.3047934355179094, 0.18062093300867896, 0.019651214420830586, 0.1881765378463381, -0.16116730153191625, -0.10947342999806663, -0.2792092504085235, -0.23491546291998536, -0.1598601624905571, 0.09332592855646925, -0.09454284130402331, -0.19753121964211734, 0.44366405278725446, 0.16261674916450777, 0.130514513349758, -0.08614489081631994, 0.2445781003191786, 0.08066193910781294, 0.029228318623214396, 0.03566007287118514, 0.32169828075423557, 0.18407627466609175, 0.16984198281963198, -0.31621536805804046, 0.06262649366421238, 0.004695635429530774] |
709.3143 | Lyapunov Mode Dynamics in Hard-Disk Systems | The tangent dynamics of the Lyapunov modes and their dynamics as generated
numerically - {\it the numerical dynamics} - is considered. We present a new
phenomenological description of the numerical dynamical structure that
accurately reproduces the experimental data for the quasi-one-dimensional
hard-disk system, and shows that the Lyapunov mode numerical dynamics is linear
and separate from the rest of the tangent space. Moreover, we propose a new,
detailed structure for the Lyapunov mode tangent dynamics, which implies that
the Lyapunov modes have well-defined (in)stability in either direction of time.
We test this tangent dynamics and its derivative properties numerically with
partial success. The phenomenological description involves a time-modal linear
combination of all other Lyapunov modes on the same polarization branch and our
proposed Lyapunov mode tangent dynamics is based upon the form of the tangent
dynamics for the zero modes.
| nlin.CD | the tangent dynamics of the lyapunov modes and their dynamics as generated numerically it the numerical dynamics is considered we present a new phenomenological description of the numerical dynamical structure that accurately reproduces the experimental data for the quasionedimensional harddisk system and shows that the lyapunov mode numerical dynamics is linear and separate from the rest of the tangent space moreover we propose a new detailed structure for the lyapunov mode tangent dynamics which implies that the lyapunov modes have welldefined instability in either direction of time we test this tangent dynamics and its derivative properties numerically with partial success the phenomenological description involves a timemodal linear combination of all other lyapunov modes on the same polarization branch and our proposed lyapunov mode tangent dynamics is based upon the form of the tangent dynamics for the zero modes | [['the', 'tangent', 'dynamics', 'of', 'the', 'lyapunov', 'modes', 'and', 'their', 'dynamics', 'as', 'generated', 'numerically', 'it', 'the', 'numerical', 'dynamics', 'is', 'considered', 'we', 'present', 'a', 'new', 'phenomenological', 'description', 'of', 'the', 'numerical', 'dynamical', 'structure', 'that', 'accurately', 'reproduces', 'the', 'experimental', 'data', 'for', 'the', 'quasionedimensional', 'harddisk', 'system', 'and', 'shows', 'that', 'the', 'lyapunov', 'mode', 'numerical', 'dynamics', 'is', 'linear', 'and', 'separate', 'from', 'the', 'rest', 'of', 'the', 'tangent', 'space', 'moreover', 'we', 'propose', 'a', 'new', 'detailed', 'structure', 'for', 'the', 'lyapunov', 'mode', 'tangent', 'dynamics', 'which', 'implies', 'that', 'the', 'lyapunov', 'modes', 'have', 'welldefined', 'instability', 'in', 'either', 'direction', 'of', 'time', 'we', 'test', 'this', 'tangent', 'dynamics', 'and', 'its', 'derivative', 'properties', 'numerically', 'with', 'partial', 'success', 'the', 'phenomenological', 'description', 'involves', 'a', 'timemodal', 'linear', 'combination', 'of', 'all', 'other', 'lyapunov', 'modes', 'on', 'the', 'same', 'polarization', 'branch', 'and', 'our', 'proposed', 'lyapunov', 'mode', 'tangent', 'dynamics', 'is', 'based', 'upon', 'the', 'form', 'of', 'the', 'tangent', 'dynamics', 'for', 'the', 'zero', 'modes']] | [-0.18536386477470357, 0.0866175417968473, -0.15009158856769086, 0.03313353161640248, -0.08583747882083276, -0.08965460863389266, 0.0017984572434322024, 0.3128613743414409, -0.30285654552272406, -0.16223412723599995, 0.09411921247374266, -0.2603496896225388, -0.19810903092071305, 0.19003294663245443, 0.04862608405061229, 0.10900473095906599, 0.040397132729880346, 0.04068820077388881, -0.038573793980231794, -0.16561064116969487, 0.3509243660178171, 0.05545735737499203, 0.300179649859898, -0.0018499965123478731, 0.1344157837197035, -0.014448437372385695, 0.01954852200935792, 0.00634441227311384, -0.15556709401314375, 0.06776044832501751, 0.18879969957808074, 0.09212164378922133, 0.2555894657432435, -0.42317916497751307, -0.20080770784904026, 0.03645051091256803, 0.150222470134116, 0.09607370510734754, -0.041385151191791314, -0.2534672788167576, 0.05284375360534683, -0.10623745546152774, -0.1819293006615591, -0.13805095856859737, 0.008904802737023383, 0.01324724484860462, -0.24194506628279078, 0.09286482725292444, 0.04764567704656311, 0.08183577416267546, -0.07921396621866628, -0.06113494814621679, -0.10570322020135711, 0.09193838637893217, 0.05292570491892415, -0.015161300881894945, 0.13507491035767608, -0.05399350164437762, -0.13259306340988208, 0.3618610236372282, -0.0910546850433478, -0.2584178018312303, 0.20083619315809415, -0.16457393915174923, -0.09382770170736378, 0.15000738169433434, 0.16342032159318345, 0.13583994955232326, -0.11029140583671167, 0.07876993598285587, -0.03186526729378605, 0.15151100987942387, 0.02072214896036108, 0.03073560355747812, 0.17919228769784426, 0.1755974452847438, 0.04653125284341619, 0.11946252569680299, -0.0901295681650594, -0.17475519210005003, -0.3342443542949257, -0.15619175312156877, -0.16634941189894012, 0.018494118193681113, -0.08996094313815974, -0.1593390109891031, 0.4918479532781771, 0.09979914120282896, 0.2034775789650361, 0.10332377781168674, 0.3034949811365809, 0.12970674759708345, 0.027393260911229428, 0.08102622837929503, 0.31584764087069644, 0.1271412357395637, 0.06702539538556751, -0.30158161265643, 0.036679142854944634, 0.09763173504399449] |
709.3144 | Inclusion Matrices and Chains | Given integers $t$, $k$, and $v$ such that $0\leq t\leq k\leq v$, let
$W_{tk}(v)$ be the inclusion matrix of $t$-subsets vs. $k$-subsets of a
$v$-set. We modify slightly the concept of standard tableau to study the notion
of rank of a finite set of positive integers which was introduced by Frankl.
Utilizing this, a decomposition of the poset $2^{[v]}$ into symmetric skipless
chains is given. Based on this decomposition, we construct an inclusion matrix,
denoted by $W_{\bar{t}k}(v)$, which is row-equivalent to $W_{tk}(v)$. Its Smith
normal form is determined. As applications, Wilson's diagonal form of
$W_{tk}(v)$ is obtained as well as a new proof of the well known theorem on the
necessary and sufficient conditions for existence of integral solutions of the
system $W_{tk}\bf{x}=\bf{b}$ due to Wilson. Finally we present anotherinclusion
matrix with similar properties to those of $W_{\bar{t}k}(v)$ which is in some
way equivalent to $W_{tk}(v)$.
| math.CO | given integers t k and v such that 0leq tleq kleq v let w_tkv be the inclusion matrix of tsubsets vs ksubsets of a vset we modify slightly the concept of standard tableau to study the notion of rank of a finite set of positive integers which was introduced by frankl utilizing this a decomposition of the poset 2v into symmetric skipless chains is given based on this decomposition we construct an inclusion matrix denoted by w_bartkv which is rowequivalent to w_tkv its smith normal form is determined as applications wilsons diagonal form of w_tkv is obtained as well as a new proof of the well known theorem on the necessary and sufficient conditions for existence of integral solutions of the system w_tkbfxbfb due to wilson finally we present anotherinclusion matrix with similar properties to those of w_bartkv which is in some way equivalent to w_tkv | [['given', 'integers', 't', 'k', 'and', 'v', 'such', 'that', '0leq', 'tleq', 'kleq', 'v', 'let', 'w_tkv', 'be', 'the', 'inclusion', 'matrix', 'of', 'tsubsets', 'vs', 'ksubsets', 'of', 'a', 'vset', 'we', 'modify', 'slightly', 'the', 'concept', 'of', 'standard', 'tableau', 'to', 'study', 'the', 'notion', 'of', 'rank', 'of', 'a', 'finite', 'set', 'of', 'positive', 'integers', 'which', 'was', 'introduced', 'by', 'frankl', 'utilizing', 'this', 'a', 'decomposition', 'of', 'the', 'poset', '2v', 'into', 'symmetric', 'skipless', 'chains', 'is', 'given', 'based', 'on', 'this', 'decomposition', 'we', 'construct', 'an', 'inclusion', 'matrix', 'denoted', 'by', 'w_bartkv', 'which', 'is', 'rowequivalent', 'to', 'w_tkv', 'its', 'smith', 'normal', 'form', 'is', 'determined', 'as', 'applications', 'wilsons', 'diagonal', 'form', 'of', 'w_tkv', 'is', 'obtained', 'as', 'well', 'as', 'a', 'new', 'proof', 'of', 'the', 'well', 'known', 'theorem', 'on', 'the', 'necessary', 'and', 'sufficient', 'conditions', 'for', 'existence', 'of', 'integral', 'solutions', 'of', 'the', 'system', 'w_tkbfxbfb', 'due', 'to', 'wilson', 'finally', 'we', 'present', 'anotherinclusion', 'matrix', 'with', 'similar', 'properties', 'to', 'those', 'of', 'w_bartkv', 'which', 'is', 'in', 'some', 'way', 'equivalent', 'to', 'w_tkv']] | [-0.13164522091059813, 0.11878261073319923, -0.055229840015194244, 0.005635249953151547, -0.07779071739641949, -0.14196271439016397, 0.03938937532116792, 0.3178370600699314, -0.2860909049798335, -0.24523866530840419, 0.10482423302102169, -0.2644673413464001, -0.1365445863389011, 0.15085364312565486, -0.08509588176883491, -0.000526791186088563, 0.011382499602456976, 0.07003863347594493, -0.0926042476319708, -0.2437020375193762, 0.33177341390401127, -0.018364632921293377, 0.19572547803400084, 0.07108861835939544, 0.10420751784102841, 0.029001105724767384, -0.009655655622814915, 0.05433357136290787, -0.16148405220950995, 0.10092242669946115, 0.22862641134166292, 0.16648837169299702, 0.24021350211530393, -0.3349749657458493, -0.11857250988749521, 0.1601350819766854, 0.12913276593067816, 0.019090822592677015, -0.014316436490376613, -0.26995893003685134, 0.16897879210965974, -0.15162340254922, -0.15980271741947424, -0.06261460771035803, 0.0805957340344321, 0.02005304613516533, -0.334557789461022, 0.00920702702548754, 0.11085308380591284, 0.0572926502674818, -0.021530426863215064, -0.19616621818942284, -0.014392497347268675, 0.07197635654093963, -0.024927994627172927, 0.03587444750010036, 0.03628905825046656, -0.06478416745251576, -0.08077732027242226, 0.37472528802463784, -0.0800542789182925, -0.17971246650704414, 0.12586091883380765, -0.11087531621700951, -0.10357464831987662, 0.07975390440982924, 0.08507110748905689, 0.1511747589702801, -0.11682854457758367, 0.13886614999584188, -0.1297816366655752, 0.10363069926638023, 0.1014411303480821, 0.011622201042648937, 0.12075843431063861, 0.10570457516504185, 0.09617291679605841, 0.177053967320327, 0.01936187340678381, -0.012945967856129365, -0.32708319001165886, -0.16461869784231697, -0.19728880794718862, 0.12169036635563575, -0.0884845382232535, -0.2026710473100788, 0.3678988538250061, 0.08956397750215339, 0.21666973429798547, 0.07314485254547824, 0.21777749105655989, 0.1318274771675143, 0.06497344584204257, 0.05551559568183231, 0.09304626567526221, 0.23139480882008293, 0.02057934378140739, -0.18175507927246923, 0.04914891947992146, 0.17461370494316464] |
709.3145 | On the properties of generalized harmonic and oscillatory numbers.
Simple proof of the Prime Number Theorem | We derived the sum identities for generalized harmonic and corresponding
oscillatory numbers for which a sieve procedure can be applied. The obtained
results enable us to understand better the properties of these numbers and
their asymptotic behavior. On the basis of these identities a simple proof of
the Prime Number Theorem is represented.
| math.NT | we derived the sum identities for generalized harmonic and corresponding oscillatory numbers for which a sieve procedure can be applied the obtained results enable us to understand better the properties of these numbers and their asymptotic behavior on the basis of these identities a simple proof of the prime number theorem is represented | [['we', 'derived', 'the', 'sum', 'identities', 'for', 'generalized', 'harmonic', 'and', 'corresponding', 'oscillatory', 'numbers', 'for', 'which', 'a', 'sieve', 'procedure', 'can', 'be', 'applied', 'the', 'obtained', 'results', 'enable', 'us', 'to', 'understand', 'better', 'the', 'properties', 'of', 'these', 'numbers', 'and', 'their', 'asymptotic', 'behavior', 'on', 'the', 'basis', 'of', 'these', 'identities', 'a', 'simple', 'proof', 'of', 'the', 'prime', 'number', 'theorem', 'is', 'represented']] | [-0.12965060808291695, 0.06957876523912726, -0.17666093853987613, 0.10885482916898392, -0.10684200501912888, -0.1020947614825278, 0.06261807998185451, 0.2835738484589559, -0.29082860024470203, -0.3113767055548587, 0.0930873801369431, -0.21290736260630613, -0.1725978365976293, 0.3070514566915215, -0.028152741395147902, 0.04359823212748007, 0.03151462675634561, 0.0699650308046982, -0.03194746564862863, -0.2727782936362585, 0.2783745447490013, -0.010477139643077159, 0.26775277532496544, 0.03356075836872717, 0.07081157654383273, 0.022232360478912323, -0.044646094939759316, 0.0402205765669076, -0.14548353525757227, 0.20830352982189856, 0.22971524567044568, 0.11189244145457193, 0.22725000668246792, -0.42080297603992356, -0.10532969647561605, 0.12471003784745369, 0.15805857094391337, 0.057170485820673966, 0.018247682361793267, -0.25489821157611486, 0.10754624605705997, -0.16746833314240542, -0.24012889034764948, -0.16820942466410826, -0.046827514708604454, 0.1088646248725401, -0.33585874609789756, 0.06087908455399128, 0.08616078989404552, 0.06312859200714331, -0.028922581742078346, -0.15367255272027455, 0.01942427509095309, 0.1694525179874925, 0.03617371170219245, -0.061901937968115196, 0.05778153636053486, -0.11551089866860013, -0.09496521750324459, 0.3357494661830506, -0.004174479757839779, -0.23459266322963643, 0.151655532626154, -0.11548276532019647, -0.14826050051927286, 0.09850536103202205, 0.15998679963555537, 0.13496428880981118, -0.10102842280746631, 0.00976026231941398, -0.07528155303191182, 0.09125132670731477, 0.13015657292573518, 0.05638867990939685, 0.18908025264599412, 0.04907518679732984, -0.0009303099458228867, 0.16806613021521424, -0.02295357429527871, -0.06606245032107493, -0.3213295009479208, -0.16512138660083403, -0.20952489589042259, 0.10840438199141678, -0.13671363063347702, -0.1649603177529742, 0.4038848612668379, 0.10900265338637356, 0.16577341517363237, 0.12581077116357056, 0.21373437450460667, 0.18671735265415232, 0.08335494126614956, -0.00925746835100482, 0.1672693881302861, 0.22308125252009564, 0.06274560634222515, -0.1600291458450539, 0.013698009958596161, 0.1738223422599851] |
709.3146 | Roughness corrections to the Casimir force: The importance of local
surface slope | This paper concentrates on a study where finite conductivity corrections are
included in the theoretical description of the effects of roughness on the
Casimir force. The roughness data were taken from gold films evaporated onto
Silicon and polysterene spheres. We conclude that for a detailed comparison
with experimental data, i.e. at the level of at least 5 % at short separations
below 200 nm, the lateral dimensions of roughness for real films should be
included in the theoretical considerations. Moreover, if the RMS roughness is
considerable, high local surface slopes are shown to have a significant effect
on the Casimir force.
| cond-mat.other cond-mat.mtrl-sci | this paper concentrates on a study where finite conductivity corrections are included in the theoretical description of the effects of roughness on the casimir force the roughness data were taken from gold films evaporated onto silicon and polysterene spheres we conclude that for a detailed comparison with experimental data ie at the level of at least 5 at short separations below 200 nm the lateral dimensions of roughness for real films should be included in the theoretical considerations moreover if the rms roughness is considerable high local surface slopes are shown to have a significant effect on the casimir force | [['this', 'paper', 'concentrates', 'on', 'a', 'study', 'where', 'finite', 'conductivity', 'corrections', 'are', 'included', 'in', 'the', 'theoretical', 'description', 'of', 'the', 'effects', 'of', 'roughness', 'on', 'the', 'casimir', 'force', 'the', 'roughness', 'data', 'were', 'taken', 'from', 'gold', 'films', 'evaporated', 'onto', 'silicon', 'and', 'polysterene', 'spheres', 'we', 'conclude', 'that', 'for', 'a', 'detailed', 'comparison', 'with', 'experimental', 'data', 'ie', 'at', 'the', 'level', 'of', 'at', 'least', '5', 'at', 'short', 'separations', 'below', '200', 'nm', 'the', 'lateral', 'dimensions', 'of', 'roughness', 'for', 'real', 'films', 'should', 'be', 'included', 'in', 'the', 'theoretical', 'considerations', 'moreover', 'if', 'the', 'rms', 'roughness', 'is', 'considerable', 'high', 'local', 'surface', 'slopes', 'are', 'shown', 'to', 'have', 'a', 'significant', 'effect', 'on', 'the', 'casimir', 'force']] | [-0.07155858903930457, 0.17148566704168164, -0.11012778332400502, 0.03313185925586055, 0.015982156558282147, -0.09747998059416811, 0.009939843479478074, 0.4044761381140261, -0.21162403053651102, -0.31457275223937076, 0.051590263422559755, -0.37324801463671403, -0.06249540089864773, 0.2451702414945972, -0.04528300665351891, 0.03962333498503825, 0.04855273908587417, -0.031484841143317295, -0.05834154845591672, -0.2281378623135764, 0.30438038693138897, 0.059350507418540394, 0.28350680664821404, 0.1762000642660441, 0.05114209807872998, -0.03649770667143824, 0.021261259885222622, 0.07118457198293522, -0.20402160846909587, 0.0658552597013462, 0.19317178189227677, -0.10401477120496859, 0.23943211561576885, -0.4770018810199367, -0.2131788872600994, 0.019314807778544198, 0.09634653918181706, 0.10467449685728009, -0.04182604342731976, -0.2262686122999047, 0.11751204696272245, -0.09854650535065719, -0.11514798742766032, -0.015152703053459074, 0.05189345521156234, -0.022239757798179383, -0.20674294443634067, 0.08728835311532492, 0.03746801394160197, 0.15994406620398013, -0.07364080680741204, -0.17918377801437269, -0.052301959637928795, 0.11408824749253314, 0.0628158937777496, 0.017166584249494146, 0.19104430087456348, -0.089328003800333, -0.03873552785565456, 0.3703590355662986, -0.04886322473693225, -0.16772548840240095, 0.18154233845063683, -0.2127525562495746, -0.05891791879754476, 0.1860619325077895, 0.19716242733740746, 0.06660183737374316, -0.11599168894962981, 0.0705843463045018, 0.020151834624509018, 0.2203129661937404, 0.10072344582001067, 0.0007275945008403123, 0.21750742997597866, 0.19855194217102093, 0.012939847095615485, 0.11489143215103376, -0.1460419802696002, -0.011183947512898782, -0.3378583344659119, -0.1216874233343535, -0.20991101531744605, 0.058464690057485544, -0.11168185045758634, -0.15841665142539163, 0.3248253298848115, 0.13430196380788328, 0.1804662537808069, 0.06958502939328401, 0.29404941445799787, 0.08324699720951041, 0.10986335395430827, 0.007586757958198738, 0.29583485655467767, 0.10173294348218902, 0.07135092271397812, -0.2139839902049815, 0.058503825918329186, -0.015898167583715133] |
709.3147 | A Handy Tool for History Keeping of Geant4 Tracks and its Application to
Studies of Fundamental Limits on PFA Performance | It is widely recognized that good jet energy resolution is one of the most
important requirements to the detectors for the future linear $e^+e^-$ collider
experiments. The Particle Flow Analysis (PFA) is currently under intense
studies as the most promising way to achieving the best attainable resolution.
In order to clarify the fundamental limits on the jet energy resolution with
the PFA, we have developed a set of C++ classes that facilitates history
keeping of particle tracks within the framework of Geant4. In this paper this
software tool is described and applied to a generic detector model so as to
identify fundamental limiting factors to the PFA performance.
| physics.comp-ph physics.ins-det | it is widely recognized that good jet energy resolution is one of the most important requirements to the detectors for the future linear ee collider experiments the particle flow analysis pfa is currently under intense studies as the most promising way to achieving the best attainable resolution in order to clarify the fundamental limits on the jet energy resolution with the pfa we have developed a set of c classes that facilitates history keeping of particle tracks within the framework of geant4 in this paper this software tool is described and applied to a generic detector model so as to identify fundamental limiting factors to the pfa performance | [['it', 'is', 'widely', 'recognized', 'that', 'good', 'jet', 'energy', 'resolution', 'is', 'one', 'of', 'the', 'most', 'important', 'requirements', 'to', 'the', 'detectors', 'for', 'the', 'future', 'linear', 'ee', 'collider', 'experiments', 'the', 'particle', 'flow', 'analysis', 'pfa', 'is', 'currently', 'under', 'intense', 'studies', 'as', 'the', 'most', 'promising', 'way', 'to', 'achieving', 'the', 'best', 'attainable', 'resolution', 'in', 'order', 'to', 'clarify', 'the', 'fundamental', 'limits', 'on', 'the', 'jet', 'energy', 'resolution', 'with', 'the', 'pfa', 'we', 'have', 'developed', 'a', 'set', 'of', 'c', 'classes', 'that', 'facilitates', 'history', 'keeping', 'of', 'particle', 'tracks', 'within', 'the', 'framework', 'of', 'geant4', 'in', 'this', 'paper', 'this', 'software', 'tool', 'is', 'described', 'and', 'applied', 'to', 'a', 'generic', 'detector', 'model', 'so', 'as', 'to', 'identify', 'fundamental', 'limiting', 'factors', 'to', 'the', 'pfa', 'performance']] | [-0.057540648616850376, 0.04094708628986997, -0.07965718923757474, 0.08284606368451258, -0.06730253497759502, -0.11958830793284708, -0.02222153393409422, 0.38379122724722103, -0.23957677890279297, -0.3348021495406068, 0.06907182010278727, -0.27176038414688297, -0.052537956844187446, 0.24327794924869928, -0.03809108690539789, 0.13461343995166114, 0.08434500198173164, 0.03989478380902222, -0.01613169763651159, -0.21856407691396912, 0.25614287503305133, 0.2060691880243313, 0.3112518512040239, 0.09055091363229116, 0.11827902294936832, -0.011895308684971597, -0.024342025030852744, 0.03273281189440577, -0.1336894162737331, 0.11541720278048026, 0.318809384087756, 0.14065090213747075, 0.22471016842044061, -0.3853268161576664, -0.19498861491404199, 0.07871320636736022, 0.10604365274991358, 0.07246665667345817, -0.037488076677416556, -0.22147614802061408, 0.1354722574421127, -0.1827982002351847, -0.13644734560943175, -0.056451011121411016, -0.0027761000932918656, -0.0027606637406818292, -0.2319272779342201, 0.0037193633378828288, 0.04714216071793258, 0.018249152719767556, 0.0014970988612966957, -0.11361021811521992, 0.04564469830236501, 0.13702853304264997, 0.09642393946436371, 0.0690906327260934, 0.1477228148459862, -0.16458302862398946, -0.12060347373631818, 0.4290318885145502, -0.04751785943409669, -0.1862366499047278, 0.25352144418327416, -0.15421570490838754, -0.13342879725301085, 0.11059345983624182, 0.18063088247759473, 0.08844941385366299, -0.19006342872873777, 0.07625586495480631, -0.019440654242687202, 0.17680339572123355, 0.055846047009927804, 0.04957445680284528, 0.19634751650651364, 0.27050417654768183, 0.07868969557953447, 0.09902767640758409, -0.11784574346987668, -0.0693436480489456, -0.3258602064085641, -0.154367111183496, -0.1296655750548881, -0.0008282444377309057, -0.03250975598119247, -0.13154965390761694, 0.4123029722659676, 0.17985775989169875, 0.14578198978711884, -0.010630491452671035, 0.34122649438817193, 0.08964838026454176, 0.0941350427846946, 0.0593566372369457, 0.2853316881918107, 0.09954895010149037, 0.0937900086261194, -0.19589798587926285, 0.06431427898954738, 0.046182458737382186] |
709.3148 | Latest results on b-hadron spectroscopy from CDF | B-hadron spectroscopy presents an interesting window for the study of QCD.
CDF has performed a number of studies involving the production and spectroscopy
of B mesons. Among these studies are the first direct observation of the Bc,
and the first observation of both narrow states of the Bs**. In addition,
measurements are made of the B** masses and widths and the best limit on the
production of Eta_b is set.
| hep-ex | bhadron spectroscopy presents an interesting window for the study of qcd cdf has performed a number of studies involving the production and spectroscopy of b mesons among these studies are the first direct observation of the bc and the first observation of both narrow states of the bs in addition measurements are made of the b masses and widths and the best limit on the production of eta_b is set | [['bhadron', 'spectroscopy', 'presents', 'an', 'interesting', 'window', 'for', 'the', 'study', 'of', 'qcd', 'cdf', 'has', 'performed', 'a', 'number', 'of', 'studies', 'involving', 'the', 'production', 'and', 'spectroscopy', 'of', 'b', 'mesons', 'among', 'these', 'studies', 'are', 'the', 'first', 'direct', 'observation', 'of', 'the', 'bc', 'and', 'the', 'first', 'observation', 'of', 'both', 'narrow', 'states', 'of', 'the', 'bs', 'in', 'addition', 'measurements', 'are', 'made', 'of', 'the', 'b', 'masses', 'and', 'widths', 'and', 'the', 'best', 'limit', 'on', 'the', 'production', 'of', 'eta_b', 'is', 'set']] | [-0.14586269749727632, 0.13202592800558444, -0.07210946354482856, -0.0034389657816583557, -0.023481808389936173, -0.0799981828579413, 0.12856425501938376, 0.3330733219560768, -0.181892830612404, -0.28402366412005253, 0.06628620254507821, -0.35153775683471133, -0.002278013008513621, 0.18123392392881216, 0.09345689944789878, 0.10376183546946517, 0.10088563617984099, 0.03560807814023324, -0.0340089957096747, -0.19615526663671648, 0.3073590216226876, 0.0181805104549442, 0.21628944809947695, 0.11906377832804407, -0.0011529658721493824, 0.009992015820794871, -0.11396237805186371, -0.027862007184220213, -0.14256953609042933, 0.11061952685122378, 0.18573128080793788, 0.14135040393032666, 0.19660602962997342, -0.34355657372091497, -0.13501022796013526, 0.09619250788486429, 0.13734339056536554, 0.0696375735037561, -0.047119486153990565, -0.3163072745980961, 0.10268413735819715, -0.13920342451227563, -0.06856261930162354, -0.0578789229787487, 0.013885483438415187, -0.005626757126966757, -0.32723414823412894, 0.0697832072951964, -0.0658221725108368, 0.05472989189438522, -0.04842213242913463, -0.20898492309663977, -0.013992297865583429, 0.11495638566889933, 0.09933452069027615, 0.014815771476631719, 0.1045858733355999, -0.15299610196959423, -0.1747077343187162, 0.3812831096883331, -0.06697824018608246, -0.09354787973321176, 0.2029741753424917, -0.21499181214187826, -0.1471402301453054, 0.12191577311605215, 0.2055064899181681, 0.14098772100572074, -0.19231640056573918, 0.07353578152999814, -0.0770171918241041, 0.1389518908624138, 0.04751398631238512, 0.12187833083527429, 0.19792250628982272, 0.21489358729283725, -0.034300542715936896, 0.09232674272997039, -0.15170369820469723, -0.05389170316713197, -0.37166162761194366, -0.1853589260501654, -0.15417204403451512, 0.02121690216341189, -0.007954690193374907, -0.09394117408831204, 0.3863740483764559, 0.06343309498791183, 0.280383834029947, 0.007072533028466361, 0.29717992642628294, 0.10181823160320554, 0.03180788729971807, 0.007325653206290943, 0.32013322188597937, 0.22504070462392908, 0.12365949649496802, -0.25075809807250543, 0.04241328754994486, -0.02288827115137662] |
709.3149 | Local cohomology based on a nonclosed support defined by a pair of
ideals | We introduce an idea for generalization of a local cohomology module, which
we call a local cohomology module with respect to a pair of ideals (I,J), and
study their various properties. Some vanishing and nonvanishing theorems are
given for this generalized version of local cohomology. We also discuss its
connection with the ordinary local cohomology.
| math.AC math.AG | we introduce an idea for generalization of a local cohomology module which we call a local cohomology module with respect to a pair of ideals ij and study their various properties some vanishing and nonvanishing theorems are given for this generalized version of local cohomology we also discuss its connection with the ordinary local cohomology | [['we', 'introduce', 'an', 'idea', 'for', 'generalization', 'of', 'a', 'local', 'cohomology', 'module', 'which', 'we', 'call', 'a', 'local', 'cohomology', 'module', 'with', 'respect', 'to', 'a', 'pair', 'of', 'ideals', 'ij', 'and', 'study', 'their', 'various', 'properties', 'some', 'vanishing', 'and', 'nonvanishing', 'theorems', 'are', 'given', 'for', 'this', 'generalized', 'version', 'of', 'local', 'cohomology', 'we', 'also', 'discuss', 'its', 'connection', 'with', 'the', 'ordinary', 'local', 'cohomology']] | [-0.199104586802423, 0.025991976559850048, -0.10782438426871191, 0.08881729367739437, -0.09897301400672984, -0.127418928085403, -0.032698474650863896, 0.3092742102389986, -0.39334767684340477, -0.20888004768322307, 0.11849153725938363, -0.21409780068153686, -0.18085878318683668, 0.1298202173276381, -0.1480138398706913, -0.03219891896746545, 0.014359355650164864, 0.11772708269682798, -0.12089346684515476, -0.27144407265480947, 0.43656265395270155, 0.027978278923017734, 0.22588628883134912, 0.056077827987345785, 0.12791035545312546, 0.020724045104262505, -0.05940474295480685, 0.004031776027245955, -0.1839273611252958, 0.17356550348075953, 0.24037522142753004, 0.05004135803742842, 0.24298444466496055, -0.40420737876133483, -0.04530603252351284, 0.2301987965337255, 0.048639448804103515, 0.05151924497490241, -0.0534564028240063, -0.2533797737210989, 0.18801155847243287, -0.25433334295045246, -0.1967569148379632, -0.11989933491091836, 0.010112107646736231, 0.06309686966494403, -0.24170750621706247, -0.0033002117696345193, 0.09113064376129346, 0.13349095755812332, -0.09411263577005063, -0.04295299142937769, -0.03815158739559014, 0.05167255511676723, -0.04914684502238577, -0.009758682019839232, 0.11177270585163072, -0.1466333603190089, -0.1723363121971488, 0.34406173002313484, -0.07769053004343401, -0.24308276618407532, 0.15753904813053934, -0.10747377665882761, -0.2140802077187056, 0.009345588850026782, 0.03666722461242567, 0.1581887115131725, -0.0486260955221951, 0.11870860101612793, -0.11404994614422322, 0.00873851396820762, 0.04982424782250415, 0.10446462441574443, 0.18744583805515008, 0.059619579870592465, 0.09699692580510269, 0.1658895678479563, -0.043044790320775725, -0.07277322389524091, -0.3869253577833826, -0.2582394281910224, -0.10980752236209809, 0.08434112705290317, -0.11500673429479569, -0.18102209080349316, 0.46398636414246125, 0.12085170434279875, 0.240183072198521, 0.16451584412504666, 0.23337057185443966, 0.08995755037123507, 0.03835635234771127, 0.028104976649311456, 0.1228237890664869, 0.24392005696215413, 0.03246186206286604, -0.1275606105971912, 0.0020709364166991277, 0.24567606841975992] |
709.315 | Nucleon form factors from quenched lattice QCD with domain wall fermions | We present a quenched lattice calculation of the weak nucleon form factors:
vector (F_V(q^2)), induced tensor (F_T(q^2)), axial-vector (F_A(q^2)) and
induced pseudo-scalar (F_P(q^2)) form factors. Our simulations are performed on
three different lattice sizes L^3 x T=24^3 x 32, 16^3 x 32 and 12^3 x 32 with a
lattice cutoff of 1/a = 1.3 GeV and light quark masses down to about 1/4 the
strange quark mass (m_{pi} = 390 MeV) using a combination of the DBW2 gauge
action and domain wall fermions. The physical volume of our largest lattice is
about (3.6 fm)^3, where the finite volume effects on form factors become
negligible and the lower momentum transfers (q^2 = 0.1 GeV^2) are accessible.
The q^2-dependences of form factors in the low q^2 region are examined. It is
found that the vector, induced tensor, axial-vector form factors are well
described by the dipole form, while the induced pseudo-scalar form factor is
consistent with pion-pole dominance. We obtain the ratio of axial to vector
coupling g_A/g_V=F_A(0)/F_V(0)=1.219(38) and the pseudo-scalar coupling
g_P=m_{mu}F_P(0.88m_{mu}^2)=8.15(54), where the errors are statistical erros
only. These values agree with experimental values from neutron beta decay and
muon capture on the proton. However, the root mean squared radii of the vector,
induced tensor and axial-vector underestimate the known experimental values by
about 20%. We also calculate the pseudo-scalar nucleon matrix element in order
to verify the axial Ward-Takahashi identity in terms of the nucleon matrix
elements, which may be called as the generalized Goldberger-Treiman relation.
| hep-lat hep-ph | we present a quenched lattice calculation of the weak nucleon form factors vector f_vq2 induced tensor f_tq2 axialvector f_aq2 and induced pseudoscalar f_pq2 form factors our simulations are performed on three different lattice sizes l3 x t243 x 32 163 x 32 and 123 x 32 with a lattice cutoff of 1a 13 gev and light quark masses down to about 14 the strange quark mass m_pi 390 mev using a combination of the dbw2 gauge action and domain wall fermions the physical volume of our largest lattice is about 36 fm3 where the finite volume effects on form factors become negligible and the lower momentum transfers q2 01 gev2 are accessible the q2dependences of form factors in the low q2 region are examined it is found that the vector induced tensor axialvector form factors are well described by the dipole form while the induced pseudoscalar form factor is consistent with pionpole dominance we obtain the ratio of axial to vector coupling g_ag_vf_a0f_v0121938 and the pseudoscalar coupling g_pm_muf_p088m_mu281554 where the errors are statistical erros only these values agree with experimental values from neutron beta decay and muon capture on the proton however the root mean squared radii of the vector induced tensor and axialvector underestimate the known experimental values by about 20 we also calculate the pseudoscalar nucleon matrix element in order to verify the axial wardtakahashi identity in terms of the nucleon matrix elements which may be called as the generalized goldbergertreiman relation | [['we', 'present', 'a', 'quenched', 'lattice', 'calculation', 'of', 'the', 'weak', 'nucleon', 'form', 'factors', 'vector', 'f_vq2', 'induced', 'tensor', 'f_tq2', 'axialvector', 'f_aq2', 'and', 'induced', 'pseudoscalar', 'f_pq2', 'form', 'factors', 'our', 'simulations', 'are', 'performed', 'on', 'three', 'different', 'lattice', 'sizes', 'l3', 'x', 't243', 'x', '32', '163', 'x', '32', 'and', '123', 'x', '32', 'with', 'a', 'lattice', 'cutoff', 'of', '1a', '13', 'gev', 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709.3151 | Suzaku Observation of the RCW86 Northeastern Shell | This paper reports the Suzaku results on the northeast shell of RCW 86. With
the spatial and spectral analysis, we separated the X-rays into three distinct
components; low (kT_e~0.3keV) and high (kT_e~1.8keV) temperature plasmas and a
non-thermal component, and discovered their spatial distributions are different
from each other. The low temperature plasma is dominated at the east rim,
whereas the non-thermal emission is the brightest at the northeast rim which is
spatially connected from the east rim. The high temperature plasma, found to
contain the ~6.42keV line (K alpha of low-ionized iron), is enhanced at the
inward region with respect to the east rim and has no spatial correlation with
the non-thermal X-ray (the northeast). The Fe-Kalpha line, therefore, is not
related to the non-thermal emission but originates from Fe-rich ejecta heated
to the high temperatures by the reverse shock. Since the metal abundances of
the low temperature plasma are sub-solar, the most possible origin of this
component is interstellar medium heated by a blast wave. The non-thermal X-ray,
which has a power-law index of ~2.8, is likely to be synchrotron emission. A
possible scenario to explain these morphologies and spectra is: A fast moving
blast wave in a thin cavity of OB association collided with a dense
interstellar medium or cloud at the east region very recently. As the result,
the reverse shock in this interior decelerated, and arrived at the Fe-rich
region of the ejecta and heated it. In the northeast rim, on the other hand,
the blast wave is still moving fast, and accelerated high energy electrons to
emit synchrotron X-rays.
| astro-ph | this paper reports the suzaku results on the northeast shell of rcw 86 with the spatial and spectral analysis we separated the xrays into three distinct components low kt_e03kev and high kt_e18kev temperature plasmas and a nonthermal component and discovered their spatial distributions are different from each other the low temperature plasma is dominated at the east rim whereas the nonthermal emission is the brightest at the northeast rim which is spatially connected from the east rim the high temperature plasma found to contain the 642kev line k alpha of lowionized iron is enhanced at the inward region with respect to the east rim and has no spatial correlation with the nonthermal xray the northeast the fekalpha line therefore is not related to the nonthermal emission but originates from ferich ejecta heated to the high temperatures by the reverse shock since the metal abundances of the low temperature plasma are subsolar the most possible origin of this component is interstellar medium heated by a blast wave the nonthermal xray which has a powerlaw index of 28 is likely to be synchrotron emission a possible scenario to explain these morphologies and spectra is a fast moving blast wave in a thin cavity of ob association collided with a dense interstellar medium or cloud at the east region very recently as the result the reverse shock in this interior decelerated and arrived at the ferich region of the ejecta and heated it in the northeast rim on the other hand the blast wave is still moving fast and accelerated high energy electrons to emit synchrotron xrays | [['this', 'paper', 'reports', 'the', 'suzaku', 'results', 'on', 'the', 'northeast', 'shell', 'of', 'rcw', '86', 'with', 'the', 'spatial', 'and', 'spectral', 'analysis', 'we', 'separated', 'the', 'xrays', 'into', 'three', 'distinct', 'components', 'low', 'kt_e03kev', 'and', 'high', 'kt_e18kev', 'temperature', 'plasmas', 'and', 'a', 'nonthermal', 'component', 'and', 'discovered', 'their', 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709.3152 | Is the shell-focusing singularity of Szekeres space-time visible? | The visibility of the shell-focusing singularity in Szekeres space-time -
which represents quasi-spherical dust collapse - has been studied on numerous
occasions in the context of the cosmic censorship conjecture. The various
results derived have assumed that there exist radial null geodesics in the
space-time. We show that such geodesics do not exist in general, and so
previous results on the visibility of the singularity are not generally valid.
More precisely, we show that the existence of a radial geodesic in Szekeres
space-time implies that the space-time is axially symmetric, with the geodesic
along the polar direction (i.e. along the axis of symmetry). If there is a
second non-parallel radial geodesic, then the space-time is spherically
symmetric, and so is a Lema\^{\i}tre-Tolman-Bondi (LTB) space-time. For the
case of the polar geodesic in an axially symmetric Szekeres space-time, we give
conditions on the free functions (i.e. initial data) of the space-time which
lead to visibility of the singularity along this direction. Likewise, we give a
sufficient condition for censorship of the singularity. We point out the
complications involved in addressing the question of visibility of the
singularity both for non-radial null geodesics in the axially symmetric case
and in the general (non-axially symmetric) case, and suggest a possible
approach.
| gr-qc | the visibility of the shellfocusing singularity in szekeres spacetime which represents quasispherical dust collapse has been studied on numerous occasions in the context of the cosmic censorship conjecture the various results derived have assumed that there exist radial null geodesics in the spacetime we show that such geodesics do not exist in general and so previous results on the visibility of the singularity are not generally valid more precisely we show that the existence of a radial geodesic in szekeres spacetime implies that the spacetime is axially symmetric with the geodesic along the polar direction ie along the axis of symmetry if there is a second nonparallel radial geodesic then the spacetime is spherically symmetric and so is a lemaitretolmanbondi ltb spacetime for the case of the polar geodesic in an axially symmetric szekeres spacetime we give conditions on the free functions ie initial data of the spacetime which lead to visibility of the singularity along this direction likewise we give a sufficient condition for censorship of the singularity we point out the complications involved in addressing the question of visibility of the singularity both for nonradial null geodesics in the axially symmetric case and in the general nonaxially symmetric case and suggest a possible approach | [['the', 'visibility', 'of', 'the', 'shellfocusing', 'singularity', 'in', 'szekeres', 'spacetime', 'which', 'represents', 'quasispherical', 'dust', 'collapse', 'has', 'been', 'studied', 'on', 'numerous', 'occasions', 'in', 'the', 'context', 'of', 'the', 'cosmic', 'censorship', 'conjecture', 'the', 'various', 'results', 'derived', 'have', 'assumed', 'that', 'there', 'exist', 'radial', 'null', 'geodesics', 'in', 'the', 'spacetime', 'we', 'show', 'that', 'such', 'geodesics', 'do', 'not', 'exist', 'in', 'general', 'and', 'so', 'previous', 'results', 'on', 'the', 'visibility', 'of', 'the', 'singularity', 'are', 'not', 'generally', 'valid', 'more', 'precisely', 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709.3153 | Morse-Novikov theory, Heegaard splittings and closed orbits of gradient
flows | The works of Donaldson and Mark make the structure of the Seiberg-Witten
invariant of 3-manifolds clear. It corresponds to certain torsion type
invariants counting flow lines and closed orbits of a gradient flow of a
circle-valued Morse map on a 3-manifold. We study these invariants using the
Morse-Novikov theory and Heegaard splitting for sutured manifolds, and make
detailed computations for knot complements.
| math.GT math.DG | the works of donaldson and mark make the structure of the seibergwitten invariant of 3manifolds clear it corresponds to certain torsion type invariants counting flow lines and closed orbits of a gradient flow of a circlevalued morse map on a 3manifold we study these invariants using the morsenovikov theory and heegaard splitting for sutured manifolds and make detailed computations for knot complements | [['the', 'works', 'of', 'donaldson', 'and', 'mark', 'make', 'the', 'structure', 'of', 'the', 'seibergwitten', 'invariant', 'of', '3manifolds', 'clear', 'it', 'corresponds', 'to', 'certain', 'torsion', 'type', 'invariants', 'counting', 'flow', 'lines', 'and', 'closed', 'orbits', 'of', 'a', 'gradient', 'flow', 'of', 'a', 'circlevalued', 'morse', 'map', 'on', 'a', '3manifold', 'we', 'study', 'these', 'invariants', 'using', 'the', 'morsenovikov', 'theory', 'and', 'heegaard', 'splitting', 'for', 'sutured', 'manifolds', 'and', 'make', 'detailed', 'computations', 'for', 'knot', 'complements']] | [-0.2557679089987951, 0.02579977810983696, -0.17730004439551023, 0.1423767527054635, -0.12434371614888791, -0.1841341714870425, 0.011247325318700244, 0.32749120106980684, -0.26215407443411215, -0.30644824734378245, 0.05836502272230122, -0.2420339923532259, -0.18931010236865992, 0.19998264036351635, -0.1698020613022832, 0.03452906358025728, 0.12277008885247333, 0.05081930695169215, -0.11974477942191786, -0.20657013210790953, 0.4469736405092502, -0.033670126490535274, 0.17715116677385184, 0.14867710548588225, 0.10696599507824547, -0.0512449009899771, -0.061900407083392624, 0.03777979478810824, -0.24668477796348592, 0.15157062496103707, 0.25774027073320244, 0.023945501779258672, 0.06491303338383834, -0.3671731444135789, -0.1666429980673016, 0.11258207781300429, 0.10465510791888641, 0.025265832737674035, -0.007794669898782646, -0.2824784169093736, 0.06845370621698338, -0.10615942241143315, -0.16458428254531277, -0.1191141628359835, 0.015681909930501736, 0.02006689013327442, -0.13278212817104143, -0.026613291221550636, 0.06268655841479139, 0.165099123042197, -0.008114310221806649, -0.06064809490025284, -0.08069248433129096, 0.16562126259199314, 0.03679538372847263, 0.0993976460266558, 0.1431081444625893, -0.1201828406042149, -0.12233176253615849, 0.3470388774820153, -0.09241233641401894, -0.2585713710042558, 0.11774879494201272, -0.06726179172795627, -0.25555368179395316, 0.19146117985609076, 0.049441610252664935, 0.19308590994126373, -0.01724930019061562, 0.14455909241787007, -0.09983499357176404, 0.07418923049924835, 0.1317718927147648, -0.09377547254740831, 0.1844124376263109, 0.03812122302910974, 0.12560636988810955, 0.13840124466655507, -0.018984020330883082, -0.10537435083589967, -0.32946976640772435, -0.28994698630225274, -0.0843732427249873, 0.18228025025793262, -0.10216976578193417, -0.22922176283393655, 0.426682454804259, -0.027949102283004793, 0.16249601503894215, 0.14873688492263037, 0.27151736260026565, 0.013172916211788692, 0.04062256923005465, 0.082757505337565, 0.1342314415491156, 0.27599004641055097, 0.022169313235809247, -0.16400184632549364, -0.09814031087162514, 0.27718352989083334] |
709.3154 | A Bayesian analysis of pentaquark signals from CLAS data | We examine the results of two measurements by the CLAS collaboration, one of
which claimed evidence for a $\Theta^{+}$ pentaquark, whilst the other found no
such evidence. The unique feature of these two experiments was that they were
performed with the same experimental setup. Using a Bayesian analysis we find
that the results of the two experiments are in fact compatible with each other,
but that the first measurement did not contain sufficient information to
determine unambiguously the existence of a $\Theta^{+}$. Further, we suggest a
means by which the existence of a new candidate particle can be tested in a
rigorous manner.
| hep-ph nucl-ex physics.data-an | we examine the results of two measurements by the clas collaboration one of which claimed evidence for a theta pentaquark whilst the other found no such evidence the unique feature of these two experiments was that they were performed with the same experimental setup using a bayesian analysis we find that the results of the two experiments are in fact compatible with each other but that the first measurement did not contain sufficient information to determine unambiguously the existence of a theta further we suggest a means by which the existence of a new candidate particle can be tested in a rigorous manner | [['we', 'examine', 'the', 'results', 'of', 'two', 'measurements', 'by', 'the', 'clas', 'collaboration', 'one', 'of', 'which', 'claimed', 'evidence', 'for', 'a', 'theta', 'pentaquark', 'whilst', 'the', 'other', 'found', 'no', 'such', 'evidence', 'the', 'unique', 'feature', 'of', 'these', 'two', 'experiments', 'was', 'that', 'they', 'were', 'performed', 'with', 'the', 'same', 'experimental', 'setup', 'using', 'a', 'bayesian', 'analysis', 'we', 'find', 'that', 'the', 'results', 'of', 'the', 'two', 'experiments', 'are', 'in', 'fact', 'compatible', 'with', 'each', 'other', 'but', 'that', 'the', 'first', 'measurement', 'did', 'not', 'contain', 'sufficient', 'information', 'to', 'determine', 'unambiguously', 'the', 'existence', 'of', 'a', 'theta', 'further', 'we', 'suggest', 'a', 'means', 'by', 'which', 'the', 'existence', 'of', 'a', 'new', 'candidate', 'particle', 'can', 'be', 'tested', 'in', 'a', 'rigorous', 'manner']] | [-0.11398619720039808, 0.11034565624663407, -0.14466328733121453, 0.052027520063577345, -0.0772803642886501, -0.13410062114120397, 0.05597254402881253, 0.37150072064069867, -0.19320135109027106, -0.32601771937701307, 0.11248338589777049, -0.28193677339739015, -0.15438237896605025, 0.21554660569374604, 0.03742410675215634, 0.05976541947067073, 0.09725146589222029, 0.060713253635008936, -0.06762234605193247, -0.22586036341499935, 0.30581490226424507, 0.03295570603137818, 0.248029118241037, 0.0690939918847628, 0.07342212569099643, -0.04011205072939685, -0.07280522396757484, 0.06557467358313429, -0.13534334276058854, 0.09927923613887968, 0.2319538880781569, 0.13838400905138082, 0.23999770117688526, -0.40325364698339433, -0.18815134580527404, 0.10383332690260219, 0.11951411831943155, 0.10654541450435097, -0.11293596790615217, -0.292911932921236, 0.11509861833431749, -0.14152130248133563, -0.12355727360140785, -0.09986824005191187, -0.04393048185710479, 0.014263083046139444, -0.27657943782713085, 0.04775339471700701, 0.05722264752913158, 0.033155794400106936, -0.07342007310012157, -0.12436730231529156, -0.018477901529744822, 0.12294158521696057, 0.04234823976073739, 0.01451198934708514, 0.06343387154572942, -0.10180969757154512, -0.17668646833072732, 0.3407967270722667, -0.07543041112434878, -0.18722385735911073, 0.20076613815205208, -0.17657710719871725, -0.19154610488455273, 0.09899123699078788, 0.07508897578832015, 0.09950917424833022, -0.172508251102804, -0.007979825464556518, -0.13165177386118443, 0.2030710413400988, 0.04652175386391074, 0.00012833961778437917, 0.2125037728618939, 0.1276135151590971, 0.016726737543578864, 0.10689762536237396, -0.11163854982378413, -0.06066928801095131, -0.34545521386469563, -0.1657780010289359, -0.1652476270909159, 0.01453608505665754, -0.022343377568035668, -0.09295215757871136, 0.37986401310280976, 0.15721732548447054, 0.24919995467079062, -0.004519822381129398, 0.24836319115338396, 0.06908120320447567, 0.09418380486742747, 0.04112414478378606, 0.3191264232505312, 0.06393773607837344, 0.05026043495386545, -0.18953986401732975, 0.09723904943184077, -0.02428447083090839] |
709.3155 | Restriction of stable bundles on a jacobian of genus 2 to an embedded
curve | The aim of this note is to describe the restriction map from the moduli space
of stable rank 2 bundle with small $c_2$ on a jacobian $X$ of dimension 2, to
the moduli space of stable rank 2 bundles on the corresponding genus 2 curve
$C$ embedded in $X$.
| math.AG | the aim of this note is to describe the restriction map from the moduli space of stable rank 2 bundle with small c_2 on a jacobian x of dimension 2 to the moduli space of stable rank 2 bundles on the corresponding genus 2 curve c embedded in x | [['the', 'aim', 'of', 'this', 'note', 'is', 'to', 'describe', 'the', 'restriction', 'map', 'from', 'the', 'moduli', 'space', 'of', 'stable', 'rank', '2', 'bundle', 'with', 'small', 'c_2', 'on', 'a', 'jacobian', 'x', 'of', 'dimension', '2', 'to', 'the', 'moduli', 'space', 'of', 'stable', 'rank', '2', 'bundles', 'on', 'the', 'corresponding', 'genus', '2', 'curve', 'c', 'embedded', 'in', 'x']] | [-0.18336941031929183, 0.09225230048320313, -0.05032651510317715, 0.023104735517076085, -0.02771344773319303, -0.14019621803178167, 0.019404812535385087, 0.3586886162508507, -0.3349561528587828, -0.1877354651841582, 0.13648970794569396, -0.2185193968613689, -0.13219458898719477, 0.1537371802782849, -0.13760416519505028, -0.020620863846674258, -0.008005880779225608, 0.1348649528713859, -0.12746050334250442, -0.34620932700844215, 0.48479424759137385, -0.06562052291760943, 0.21842546169931182, 0.017290970272555644, 0.1354602442065976, -0.0037848016209140116, 0.016042563265987804, -0.04125825854669306, -0.14589217006780056, 0.21599044578330479, 0.263849300351374, 0.07205269927139946, 0.13319617609151316, -0.3201415393197415, -0.1595293312352531, 0.23792428105157248, 0.07607329831154523, -0.045844068180541604, 0.08942056596944374, -0.1797615605007325, 0.13908142065249232, -0.09459531470677074, -0.20437459940356867, -0.06877950846920816, 0.12634529858086335, -0.03004631709915643, -0.18482564920939656, -0.06663895993284424, 0.03826245239802769, 0.11427673256518889, -0.08668947151424933, -0.13661081469332687, -0.1388381975037711, 0.03468835164498234, 0.023961962880186583, 0.14611154071492505, 0.08245236236526042, -0.10267700391289379, -0.010646682650763161, 0.37515893524360594, -0.09085100343716997, -0.1935592777646926, 0.1363322750418162, -0.15725312942677006, -0.12316980137850861, 0.23069702776871165, 0.17468482169455715, 0.19600573173671848, 0.09792612375197363, 0.2080834495207789, -0.058988879358738054, 0.20333400632881996, 0.04839370094954835, -0.08960476449253607, 0.11263599497627239, 0.14320418483824754, 0.0988633456658952, 0.0758384928411367, -0.09104795783416045, 0.0017229581669885286, -0.40365491503355455, -0.25406743048177083, -0.11716550877032687, 0.1974901957437396, -0.1573929141218565, -0.11985417429300747, 0.4159229808886136, 0.030203820054172253, 0.30067451024542047, 0.11112312600016594, 0.23271093713309693, -0.021391544833171124, 0.0096932443129659, 0.06573489066023304, 0.15081150563699858, 0.1689562891058776, -0.016002029294566233, -0.11106967591984691, -0.03624777636509769, 0.20437931628631695] |
709.3156 | Two distinct logical types of network control in gene expression
profiles | In unicellular organisms such as bacteria the same acquired mutations
beneficial in one environment can be restrictive in another. However, evolving
Escherichia coli populations demonstrate remarkable flexibility in adaptation.
The mechanisms sustaining genetic flexibility remain unclear. In E. coli the
transcriptional regulation of gene expression involves both dedicated
regulators binding specific DNA sites with high affinity and also global
regulators - abundant DNA architectural proteins of the bacterial chromoid
binding multiple low affinity sites and thus modulating the superhelical
density of DNA. The first form of transcriptional regulation is dominantly
pairwise and specific, representing digitial control, while the second form is
(in strength and distribution) continuous, representing analog control. Here we
look at the properties of effective networks derived from significant gene
expression changes under variation of the two forms of control and find that
upon limitations of one type of control (caused e.g. by mutation of a global
DNA architectural factor) the other type can compensate for compromised
regulation. Mutations of global regulators significantly enhance the digital
control; in the presence of global DNA architectural proteins regulation is
mostly of the analog type, coupling spatially neighboring genomic loci;
together our data suggest that two logically distinct types of control are
balancing each other. By revealing two distinct logical types of control, our
approach provides basic insights into both the organizational principles of
transcriptional regulation and the mechanisms buffering genetic flexibility. We
anticipate that the general concept of distinguishing logical types of control
will apply to many complex biological networks.
| q-bio.GN q-bio.MN | in unicellular organisms such as bacteria the same acquired mutations beneficial in one environment can be restrictive in another however evolving escherichia coli populations demonstrate remarkable flexibility in adaptation the mechanisms sustaining genetic flexibility remain unclear in e coli the transcriptional regulation of gene expression involves both dedicated regulators binding specific dna sites with high affinity and also global regulators abundant dna architectural proteins of the bacterial chromoid binding multiple low affinity sites and thus modulating the superhelical density of dna the first form of transcriptional regulation is dominantly pairwise and specific representing digitial control while the second form is in strength and distribution continuous representing analog control here we look at the properties of effective networks derived from significant gene expression changes under variation of the two forms of control and find that upon limitations of one type of control caused eg by mutation of a global dna architectural factor the other type can compensate for compromised regulation mutations of global regulators significantly enhance the digital control in the presence of global dna architectural proteins regulation is mostly of the analog type coupling spatially neighboring genomic loci together our data suggest that two logically distinct types of control are balancing each other by revealing two distinct logical types of control our approach provides basic insights into both the organizational principles of transcriptional regulation and the mechanisms buffering genetic flexibility we anticipate that the general concept of distinguishing logical types of control will apply to many complex biological networks | [['in', 'unicellular', 'organisms', 'such', 'as', 'bacteria', 'the', 'same', 'acquired', 'mutations', 'beneficial', 'in', 'one', 'environment', 'can', 'be', 'restrictive', 'in', 'another', 'however', 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709.3157 | Chiral Lagrangians with tensor sources | The implementation of tensor sources in Chiral Lagrangians allows the
computation of Green functions and form factors involving tensor currents, that
is, quark bilinears of the form \bar{q}_i\sigma^{\mu\nu}q_j. Whereas only four
new terms show up at O(p^4), we find around a hundred of them at O(p^6). So it
becomes essential to ensure that this set o operators is indeed minimal and
non-redundant (i.e., it is a basis). We discuss two phenomenological
applications in the context of vector meson resonances and the radiative pion
decay.
| hep-ph | the implementation of tensor sources in chiral lagrangians allows the computation of green functions and form factors involving tensor currents that is quark bilinears of the form barq_isigmamunuq_j whereas only four new terms show up at op4 we find around a hundred of them at op6 so it becomes essential to ensure that this set o operators is indeed minimal and nonredundant ie it is a basis we discuss two phenomenological applications in the context of vector meson resonances and the radiative pion decay | [['the', 'implementation', 'of', 'tensor', 'sources', 'in', 'chiral', 'lagrangians', 'allows', 'the', 'computation', 'of', 'green', 'functions', 'and', 'form', 'factors', 'involving', 'tensor', 'currents', 'that', 'is', 'quark', 'bilinears', 'of', 'the', 'form', 'barq_isigmamunuq_j', 'whereas', 'only', 'four', 'new', 'terms', 'show', 'up', 'at', 'op4', 'we', 'find', 'around', 'a', 'hundred', 'of', 'them', 'at', 'op6', 'so', 'it', 'becomes', 'essential', 'to', 'ensure', 'that', 'this', 'set', 'o', 'operators', 'is', 'indeed', 'minimal', 'and', 'nonredundant', 'ie', 'it', 'is', 'a', 'basis', 'we', 'discuss', 'two', 'phenomenological', 'applications', 'in', 'the', 'context', 'of', 'vector', 'meson', 'resonances', 'and', 'the', 'radiative', 'pion', 'decay']] | [-0.12825462062764598, 0.17069228316646023, -0.03274945288627262, 0.09475836181642869, -0.07429164135267577, -0.08367544065891619, 0.046952419400955715, 0.3468362620178924, -0.1905268998704402, -0.23203564260199847, 0.04977427505472877, -0.3031844983176477, -0.1354971608842712, 0.13256018594221539, 0.07565270268522394, 0.043564919483320544, 0.04259170536288476, 0.06694476677284363, -0.0801447102553155, -0.20414405284696316, 0.3731104998613696, -0.023927881662924606, 0.21062328276527395, 0.12168042715190046, 0.0879477942306324, -0.036178401811609424, -0.048638293614992535, -0.059560359736163936, -0.053973928543616996, 0.11662854166197904, 0.2203393359689592, 0.10092697574207223, 0.20647499026416474, -0.40411055929599754, -0.12663317988879125, 0.1003930852411831, 0.1502198666048023, 0.13288600935813893, 0.017561970177633935, -0.21733228435335927, 0.11255475745188544, -0.18939847277522268, -0.15334696715966945, -0.18106168513579002, 0.0339324905436082, -0.059865317543048455, -0.33111539014603897, 0.04468495464401252, -0.017947030635213995, 0.019865711118622, -0.03230226818396407, -0.17122983660952873, -0.012208194429817867, 0.07689041436750846, 0.07149210285271955, 0.04302552958153727, 0.14849208289173893, -0.178347830657836, -0.09189483999128802, 0.419868146473295, -0.07375783392463822, -0.21737816921962672, 0.137175207326458, -0.16473306159640336, -0.14782092323055468, 0.10857091921505081, 0.13786295027169118, 0.11939094792939274, -0.1887218190177557, 0.12608950325717072, -0.028136323882177114, 0.1341235846581207, 0.11767773893493486, 0.10052453271247985, 0.20069545085530682, 0.11111348524061312, 0.03522346973845578, 0.10570987554670996, -0.02378192041609268, -0.08977952317323491, -0.39277925405157615, -0.16845916225069976, -0.10270721308258643, 0.04374978542103466, -0.08265288384629173, -0.14877496955352443, 0.4187768001771386, 0.10165125312261193, 0.20107723218501064, 0.03808410131899887, 0.2866627692906971, 0.12921184478541528, 0.16845532016357384, 0.11630619844668601, 0.25662171183131544, 0.16585257363572986, 0.07930710570639875, -0.20832789396440768, -0.036974684868277194, 0.09405253256435495] |
709.3158 | Twin peaks in rf spectra of Fermi gases at unitarity | We calculate the radio-frequency spectrum of balanced and imbalanced
ultracold Fermi gases in the normal phase at unitarity.
For the homogeneous case the spectrum of both the majority and minority
components always has a single peak even in the pseudogap regime.
We furthermore show how the double-peak structures observed in recent
experiments arise due to the inhomogeneity of the trapped gas.
The main experimental features observed above the critical temperature in the
recent experiment of Schunck et al. [Science 316, 867, (2007)] are recovered
with no fitting parameters.
| cond-mat.other cond-mat.str-el | we calculate the radiofrequency spectrum of balanced and imbalanced ultracold fermi gases in the normal phase at unitarity for the homogeneous case the spectrum of both the majority and minority components always has a single peak even in the pseudogap regime we furthermore show how the doublepeak structures observed in recent experiments arise due to the inhomogeneity of the trapped gas the main experimental features observed above the critical temperature in the recent experiment of schunck et al science 316 867 2007 are recovered with no fitting parameters | [['we', 'calculate', 'the', 'radiofrequency', 'spectrum', 'of', 'balanced', 'and', 'imbalanced', 'ultracold', 'fermi', 'gases', 'in', 'the', 'normal', 'phase', 'at', 'unitarity', 'for', 'the', 'homogeneous', 'case', 'the', 'spectrum', 'of', 'both', 'the', 'majority', 'and', 'minority', 'components', 'always', 'has', 'a', 'single', 'peak', 'even', 'in', 'the', 'pseudogap', 'regime', 'we', 'furthermore', 'show', 'how', 'the', 'doublepeak', 'structures', 'observed', 'in', 'recent', 'experiments', 'arise', 'due', 'to', 'the', 'inhomogeneity', 'of', 'the', 'trapped', 'gas', 'the', 'main', 'experimental', 'features', 'observed', 'above', 'the', 'critical', 'temperature', 'in', 'the', 'recent', 'experiment', 'of', 'schunck', 'et', 'al', 'science', '316', '867', '2007', 'are', 'recovered', 'with', 'no', 'fitting', 'parameters']] | [-0.10280162811514773, 0.18105053897372933, -0.028507503389846534, 0.050300931859634475, 0.003185402125712823, -0.11901067494181916, 0.06274515858174047, 0.35395933281291614, -0.220468936921944, -0.317820055463182, 0.02432961600028317, -0.3265058596364476, -0.1077527685874057, 0.20119361848231743, -0.0154674289528471, 0.042434242818589235, 0.04457529555392367, -0.03870245200497183, -0.08616969312424771, -0.25127670751482417, 0.3129816568530673, 0.09252499980820258, 0.3418213533004746, 0.07431264315197371, 0.034990408256734634, -0.022040412994101644, 0.0034413016242483122, 0.0023525454770688984, -0.1332787498725917, 0.047158179148523646, 0.2581963380163705, 0.02461019679057327, 0.1734129370888695, -0.3878904309293086, -0.24905567805796058, 0.12523191137535666, 0.11117209437493743, 0.12317110766228077, -0.06079104597632646, -0.2654510406877803, -0.004894719056954438, -0.15772798569576646, -0.1579575609357562, -0.05213273704099596, 0.018111798488958317, 0.0042590901668352835, -0.2065325618340549, 0.13349157977394166, 0.07967547556141984, 0.06030407781839709, -0.09495940837818621, -0.12672976290129803, -0.020134212637045, 0.05132762018051422, -0.021821022880348293, 0.0320495451239615, 0.1106112950480813, -0.1633178620858499, -0.06781285465694964, 0.3685396262232892, -0.09207425298253921, -0.029604958941821347, 0.22439188772643154, -0.22605532151646912, -0.1201376564832489, 0.1415895483064973, 0.11527458171853637, 0.047639743501680314, -0.07318118180344092, 0.08174341060723898, -0.08741362156896768, 0.16311230667501644, 0.07035720443871635, 0.001630878005843525, 0.23146222329656171, 0.13460120165043257, -0.011840848932892683, 0.12816486607665534, -0.16115491395149464, -0.07766433860061542, -0.25572273729961703, -0.08856822679147379, -0.19065973520892757, -0.011739183153787797, -0.008392739887230246, -0.13302829511336645, 0.3996476892127909, 0.1447825503260405, 0.26445927149192855, -0.0595499412632886, 0.2701892862096429, 0.1276694421116686, 0.03383577073162252, 0.0940675145089203, 0.29859580924543977, 0.12207183362492784, 0.11943210602013013, -0.26564391022971406, 0.0437489020220131, -0.029254696966910906] |
709.3159 | The Energy-momentum of a Poisson structure | Consider the quasi-commutative approximation to a noncommutative geometry. It
is shown that there is a natural map from the resulting Poisson structure to
the Riemann curvature of a metric. This map is applied to the study of
high-frequency gravitational radiation. In classical gravity in the WKB
approximation there are two results of interest, a dispersion relation and a
conservation law. Both of these results can be extended to the noncommutative
case, with the difference that they result from a cocycle condition on the
high-frequency contribution to the Poisson structure, not from the field
equations.
| hep-th | consider the quasicommutative approximation to a noncommutative geometry it is shown that there is a natural map from the resulting poisson structure to the riemann curvature of a metric this map is applied to the study of highfrequency gravitational radiation in classical gravity in the wkb approximation there are two results of interest a dispersion relation and a conservation law both of these results can be extended to the noncommutative case with the difference that they result from a cocycle condition on the highfrequency contribution to the poisson structure not from the field equations | [['consider', 'the', 'quasicommutative', 'approximation', 'to', 'a', 'noncommutative', 'geometry', 'it', 'is', 'shown', 'that', 'there', 'is', 'a', 'natural', 'map', 'from', 'the', 'resulting', 'poisson', 'structure', 'to', 'the', 'riemann', 'curvature', 'of', 'a', 'metric', 'this', 'map', 'is', 'applied', 'to', 'the', 'study', 'of', 'highfrequency', 'gravitational', 'radiation', 'in', 'classical', 'gravity', 'in', 'the', 'wkb', 'approximation', 'there', 'are', 'two', 'results', 'of', 'interest', 'a', 'dispersion', 'relation', 'and', 'a', 'conservation', 'law', 'both', 'of', 'these', 'results', 'can', 'be', 'extended', 'to', 'the', 'noncommutative', 'case', 'with', 'the', 'difference', 'that', 'they', 'result', 'from', 'a', 'cocycle', 'condition', 'on', 'the', 'highfrequency', 'contribution', 'to', 'the', 'poisson', 'structure', 'not', 'from', 'the', 'field', 'equations']] | [-0.13209315809356842, 0.06916641554686222, -0.1489827266418712, 0.11418018767738992, -0.09133064952936579, -0.07646055273870205, -0.016651864173485242, 0.32554207571801985, -0.32440574621742074, -0.2476120138184187, 0.0891257552863495, -0.262088508999094, -0.20018760784667858, 0.21742697292938828, -0.07510877462312024, 0.0026189240508098554, 0.0177217293233472, 0.06002157707599566, -0.0708825916579449, -0.20027065445282596, 0.36639916687767876, 0.04038471165806689, 0.26408683646351416, 0.029440716825465254, 0.10557401329873407, -0.050683833663649064, -0.016499601413515655, 0.0640254381281185, -0.11429890144961277, 0.09580956495545329, 0.23293668559276837, 0.05674532573036057, 0.23412761248232045, -0.37847087853290934, -0.2177615482855509, 0.09631326765396651, 0.06603768084971036, 0.10390885310009756, -0.05702256369330187, -0.2748248707676465, 0.07817058790068915, -0.15533100630335034, -0.13159597833502165, -0.040743466615280576, 0.004407570782820992, 0.0005338162981330397, -0.25133924118485895, 0.0627278176512807, 0.109980602084877, -0.017481731686820375, -0.08333413878039635, -0.029696134350044614, -0.025479309161768316, 0.09025607979361047, 0.08263575074020178, 0.06532698999248207, 0.09497963993790302, -0.10652775248819764, -0.07295526542819719, 0.4196536321034457, -0.09798009670834909, -0.2922811131290299, 0.15192083709258983, -0.20092993547664362, -0.1268492616772493, 0.12278965470737759, 0.12293414128052586, 0.10766338576487466, -0.12564174396089933, 0.14521393992261902, -0.05203147672929187, 0.129793917948499, 0.07764229037244111, -0.029989953975173386, 0.1961347664448809, 0.06465872405641811, 0.07534659749015848, 0.13134857833241806, -0.06341186742684705, -0.13239626457637294, -0.3390881397384912, -0.13270008785308318, -0.1678181178867817, 0.12254168879890324, -0.11490857912747046, -0.2028487322445181, 0.3693324610234258, 0.1277147484094925, 0.1643198643850678, 0.060062337369519346, 0.27980787711753013, 0.187159485610306, 0.06176806966021182, 0.04539514774397174, 0.2620711152818292, 0.2152150176921265, 0.08735584015115858, -0.17622382308485263, -0.028435198892343867, 0.09938695263910166] |
709.316 | An Efficient and Simple Analytical Model for Analysis of Propagation
Properties in Impedance Waveguides | In this paper propagation properties of a parallel-plate waveguide with
tunable artificial impedance surfaces as sidewalls are studied both
analytically and numerically. The impedance surfaces comprise an array of
patches over a dielectric slab with embedded metallic vias. The tunability of
surfaces is achieved with varactors. Simple design equations for tunable
artificial impedance surfaces as well as dispersion equations for the TE and TM
modes are presented. The propagation properties are studied in three different
regimes: a multi-mode waveguide, a single-mode waveguide, and below-cutoff
waveguide. The analytical results are verified with numerical simulations.
| physics.class-ph | in this paper propagation properties of a parallelplate waveguide with tunable artificial impedance surfaces as sidewalls are studied both analytically and numerically the impedance surfaces comprise an array of patches over a dielectric slab with embedded metallic vias the tunability of surfaces is achieved with varactors simple design equations for tunable artificial impedance surfaces as well as dispersion equations for the te and tm modes are presented the propagation properties are studied in three different regimes a multimode waveguide a singlemode waveguide and belowcutoff waveguide the analytical results are verified with numerical simulations | [['in', 'this', 'paper', 'propagation', 'properties', 'of', 'a', 'parallelplate', 'waveguide', 'with', 'tunable', 'artificial', 'impedance', 'surfaces', 'as', 'sidewalls', 'are', 'studied', 'both', 'analytically', 'and', 'numerically', 'the', 'impedance', 'surfaces', 'comprise', 'an', 'array', 'of', 'patches', 'over', 'a', 'dielectric', 'slab', 'with', 'embedded', 'metallic', 'vias', 'the', 'tunability', 'of', 'surfaces', 'is', 'achieved', 'with', 'varactors', 'simple', 'design', 'equations', 'for', 'tunable', 'artificial', 'impedance', 'surfaces', 'as', 'well', 'as', 'dispersion', 'equations', 'for', 'the', 'te', 'and', 'tm', 'modes', 'are', 'presented', 'the', 'propagation', 'properties', 'are', 'studied', 'in', 'three', 'different', 'regimes', 'a', 'multimode', 'waveguide', 'a', 'singlemode', 'waveguide', 'and', 'belowcutoff', 'waveguide', 'the', 'analytical', 'results', 'are', 'verified', 'with', 'numerical', 'simulations']] | [-0.1915227389064334, 0.13313139469059737, -0.000584553329921935, -0.07461374789557379, -0.04776354489149526, -0.20975798435266252, -0.04237254019497651, 0.5333493675064781, -0.19645444892913752, -0.2705420093793098, 0.0459125588624928, -0.295788956556783, -0.18653092413897748, 0.2776704321605275, 0.03092013163816022, 0.13040463701524815, 0.036904038939847734, -0.11267849027543612, -0.038232543682881995, -0.16181924088817576, 0.2548274105799425, 0.017167951697205273, 0.3309714300254279, 0.04045031764342085, 0.08896207682403695, -0.024259547961106444, 0.10556789413195751, 0.035004055441316705, -0.13394143685455556, 0.09094417842773153, 0.28596795837232925, -0.09556354982171046, 0.17737030123775502, -0.5008153366532339, -0.2846515590588198, -0.055283099433164236, 0.15237652946708966, 0.10049326994213396, -0.07946338316263712, -0.27280566409108753, 0.03603823501211793, -0.0763663723549183, -0.18000945822416764, -0.028448125337372007, -0.05548626281644987, 0.05256461961898427, -0.22601834326253636, -0.013804830276690747, 0.028570063418516402, 0.09865972535360766, -0.040294012393923884, -0.09579819104755702, -0.05502542108550425, 0.03649897734842101, -0.05557493451571012, -0.10549121461909912, 0.1304025005893377, -0.09719939844470228, -0.08334267466410022, 0.35483668471241125, -0.07165315084452943, -0.26206787663471437, 0.17526205473974266, -0.0823568539793917, 0.10643736787302338, 0.1341190736072705, 0.20513696333838868, 0.09243706817758958, -0.1599509877294464, 0.060758933868466716, -0.0247502530236607, 0.17189650563523173, 0.16652996102904738, 0.05169056179811773, 0.2057680479331833, 0.2215933977606018, -0.03562402915027316, 0.20989336004814782, -0.08466979231857492, -0.00647590323553785, -0.28487436056299054, -0.17409595079801005, -0.18272846543392085, -0.006117121898569167, -0.11742826532423825, -0.25582154617523367, 0.4002726814183204, 0.04449875345048697, 0.12821881513556707, 0.02830651458783035, 0.3215593577403089, 0.11567371579155367, 0.04381713150549964, 0.057163250042915184, 0.2986472574993968, 0.24299318890046814, 0.08603119353495498, -0.23665577408594443, -0.03301670942101222, -0.037420807416429336] |
709.3161 | Rosen-Zener Transition in a Nonlinear Two-Level System | We study Rosen-Zener transition (RZT) in a nonlinear two-level system in
which the level energies depend on the occupation of the levels, representing a
mean-field type of interaction between the particles. We find that the
nonlinearity could affect the quantum transition dramatically. At certain
nonlinearity the 100% population transfer between two levels is observed and
found to be robust over a very wide range of external parameters. On the other
hand, the quantum transition could be completely blocked by a strong
nonlinearity. In the sudden and adiabatic limits we have derived analytical
expressions for the transition probability. Numerical explorations are made for
a wide range of parameters of the general case. Possible applications of our
theory to Bose-Einstern Condensates (BECs) are discussed.
| cond-mat.mes-hall cond-mat.other | we study rosenzener transition rzt in a nonlinear twolevel system in which the level energies depend on the occupation of the levels representing a meanfield type of interaction between the particles we find that the nonlinearity could affect the quantum transition dramatically at certain nonlinearity the 100 population transfer between two levels is observed and found to be robust over a very wide range of external parameters on the other hand the quantum transition could be completely blocked by a strong nonlinearity in the sudden and adiabatic limits we have derived analytical expressions for the transition probability numerical explorations are made for a wide range of parameters of the general case possible applications of our theory to boseeinstern condensates becs are discussed | [['we', 'study', 'rosenzener', 'transition', 'rzt', 'in', 'a', 'nonlinear', 'twolevel', 'system', 'in', 'which', 'the', 'level', 'energies', 'depend', 'on', 'the', 'occupation', 'of', 'the', 'levels', 'representing', 'a', 'meanfield', 'type', 'of', 'interaction', 'between', 'the', 'particles', 'we', 'find', 'that', 'the', 'nonlinearity', 'could', 'affect', 'the', 'quantum', 'transition', 'dramatically', 'at', 'certain', 'nonlinearity', 'the', '100', 'population', 'transfer', 'between', 'two', 'levels', 'is', 'observed', 'and', 'found', 'to', 'be', 'robust', 'over', 'a', 'very', 'wide', 'range', 'of', 'external', 'parameters', 'on', 'the', 'other', 'hand', 'the', 'quantum', 'transition', 'could', 'be', 'completely', 'blocked', 'by', 'a', 'strong', 'nonlinearity', 'in', 'the', 'sudden', 'and', 'adiabatic', 'limits', 'we', 'have', 'derived', 'analytical', 'expressions', 'for', 'the', 'transition', 'probability', 'numerical', 'explorations', 'are', 'made', 'for', 'a', 'wide', 'range', 'of', 'parameters', 'of', 'the', 'general', 'case', 'possible', 'applications', 'of', 'our', 'theory', 'to', 'boseeinstern', 'condensates', 'becs', 'are', 'discussed']] | [-0.13755772203353256, 0.1789928190102262, -0.038672131259179066, 0.06239857076578735, -0.00965850617859728, -0.14550127550451594, 0.06174834060178654, 0.3525771540243271, -0.23677824648127946, -0.31264264214291304, 0.055283262691660666, -0.24954703071420195, -0.12901342969603283, 0.22905752697020523, 0.027235521503901187, 0.021936179023266823, 0.03271902672761728, 0.017449273618153672, -0.07955973766492064, -0.1948930682625991, 0.33279219325170045, 0.026487183227484723, 0.2755746003240347, 0.09359548628822831, 0.06506183418668499, -0.02487390536106815, 0.0707419629955341, 0.011660413339364626, -0.14436455845501137, 0.06572733684981719, 0.23477810318822287, 0.04982823855436045, 0.2520038083595924, -0.41469346838118126, -0.24295081678308422, 0.0934302549124195, 0.12608287073210006, 0.1661870083030821, -0.049400671211086704, -0.3055996423922017, 0.031593882290200014, -0.18260653903476956, -0.12518304880046524, -0.0727103446217731, 0.0302011830239626, 0.07005291041333137, -0.2786217515745531, 0.07597641872957903, 0.04162361950051686, 0.041961670268234635, -0.06443670423208805, -0.07793850432273217, -0.009016957605442355, 0.12714554672321873, 0.004320279897136753, -0.031046516464759543, 0.1290427965596934, -0.15493217639024714, -0.07115437455998719, 0.37385541068251466, -0.0840509605713281, -0.16250026020536984, 0.2279151998872076, -0.16850584197004348, -0.10136358153213523, 0.13451701526583965, 0.1689683710309592, 0.098803926274673, -0.11207879021425139, 0.0751470914177889, 0.017863740309426362, 0.18055140262485042, 0.05654203260609926, 0.05526818810964065, 0.22199884845205575, 0.14842260173283334, 0.017646074474958532, 0.1307956560775599, -0.08232790377945447, -0.16753043448754532, -0.2844566250189154, -0.09664103263808214, -0.16891086133474037, 0.04358543110395635, -0.08946823156684106, -0.15314799723454003, 0.40444816454998717, 0.16263966459380694, 0.20876000549120843, 0.01688477828663828, 0.22919188180461156, 0.20642246754382051, 0.0363946134871072, 0.007465765919259264, 0.30769084150371845, 0.11765729488366214, 0.05777600757327423, -0.23814256247402407, 0.05329960716257164, -0.012980387378714917] |
709.3162 | Some new class of Chaplygin Wormholes | Some new class of Chaplygin wormholes are investigated in the framework of a
Chaplygin gas with equation of state $ p = - \frac{A}{\rho}$, $A>0$. Since
empty spacetime ($ p = \rho = 0 $) does not follow Chaplygin gas, so the
interior Chaplygin wormhole solutions will never asymptotically flat. For this
reason, we have to match our interior wormhole solution with an exterior vacuum
solution i.e. Schwarzschild solution at some junction interface, say $ r = a $.
We also discuss the total amount of matter characterized by Chaplygin gas that
supplies fuel to construct a wormhole.
| gr-qc | some new class of chaplygin wormholes are investigated in the framework of a chaplygin gas with equation of state p fracarho a0 since empty spacetime p rho 0 does not follow chaplygin gas so the interior chaplygin wormhole solutions will never asymptotically flat for this reason we have to match our interior wormhole solution with an exterior vacuum solution ie schwarzschild solution at some junction interface say r a we also discuss the total amount of matter characterized by chaplygin gas that supplies fuel to construct a wormhole | [['some', 'new', 'class', 'of', 'chaplygin', 'wormholes', 'are', 'investigated', 'in', 'the', 'framework', 'of', 'a', 'chaplygin', 'gas', 'with', 'equation', 'of', 'state', 'p', 'fracarho', 'a0', 'since', 'empty', 'spacetime', 'p', 'rho', '0', 'does', 'not', 'follow', 'chaplygin', 'gas', 'so', 'the', 'interior', 'chaplygin', 'wormhole', 'solutions', 'will', 'never', 'asymptotically', 'flat', 'for', 'this', 'reason', 'we', 'have', 'to', 'match', 'our', 'interior', 'wormhole', 'solution', 'with', 'an', 'exterior', 'vacuum', 'solution', 'ie', 'schwarzschild', 'solution', 'at', 'some', 'junction', 'interface', 'say', 'r', 'a', 'we', 'also', 'discuss', 'the', 'total', 'amount', 'of', 'matter', 'characterized', 'by', 'chaplygin', 'gas', 'that', 'supplies', 'fuel', 'to', 'construct', 'a', 'wormhole']] | [-0.16764016984359778, 0.05673015245718844, -0.14037891900723523, 0.05380416568502484, -0.11562591043953922, -0.2705568200694504, -0.029185894263865447, 0.29166809416940737, -0.2140490759977664, -0.2589114357542712, 0.05190322414474112, -0.28074085385934716, -0.017140018231845622, 0.07298961575089515, -0.07236835792869457, 0.040707007018399646, -0.03368028337885251, 0.029076963791559482, -0.0692043420831919, -0.2830283760210906, 0.39442142249010076, 0.058891118204371, 0.18429689427259668, 0.00937362720697433, 0.11707805655361421, -0.1490974596423236, 0.0687199256425702, 0.035861743806765, -0.27146177671238547, -0.03794815489519173, 0.22913287886975056, 0.1433291507499485, 0.2519432932523818, -0.4256161665758011, -0.287724432053751, 0.15014424001605348, 0.18176562456285644, 0.09293319058508195, -0.11134720893426873, -0.2699601310037676, 0.05897986509933554, -0.2695356597695714, -0.24520424122376175, -0.034640965539020026, 0.0649003510138598, -0.0010552104380538408, -0.16575904304547043, 0.0839387402383359, 0.030411295434888238, -0.11723624529509709, -0.20839764261832353, -0.08808538611762858, -0.04783980156851654, -0.05146392281220733, 0.07593612438174842, 0.020830135795170034, 0.15339919098321048, -0.15032762039356448, 0.034623488484100365, 0.3734411681713215, -0.10564919698169861, -0.28797334764452504, 0.1334707737316902, -0.2053854731446796, -0.08403886084434116, 0.1208039719033344, 0.06354160247177913, 0.12215082382719064, -0.16091882074840538, 0.18162673541569505, -0.07186604269790924, 0.16774840893801943, 0.16696202820273995, -0.025975969879641788, 0.32032486102704344, 0.06338016909879, 0.08184201275426681, 0.1796841704522142, -0.022805063177071427, -0.11288548833101816, -0.37982010171245567, -0.23250657938495706, -0.14334921023926173, 0.10389026678612204, -0.1097596759329839, -0.19387054838903847, 0.24873369724232833, 0.05118740874546013, 0.14174001755449792, 0.006552104364502533, 0.25035721600997723, 0.03954636639160714, -0.04003050254829142, 0.20077007734912566, 0.2354275318452735, 0.10748984582786417, 0.1641365485479948, -0.19497986871149692, -0.01165268394089807, 0.08254837094881069] |
709.3163 | Few-boson dynamics in double wells: From single-atom to correlated-pair
tunneling | We investigate few-boson tunneling in a one-dimensional double well, covering
the full crossover from weak interactions to the fermionization limit of strong
correlations. Based on exact quantum-dynamical calculations, it is found that
the tunneling dynamics of two atoms evolves from Rabi oscillations to
correlated pair tunneling as we increase the interaction strength. Near the
fermionization limit, fragmented-pair tunneling is observed and analyzed in
terms of the population imbalance and two-body correlations. For more atoms,
the tunneling dynamics near fermionization is shown to be sensitive to both
atom number and initial configuration.
| cond-mat.other quant-ph | we investigate fewboson tunneling in a onedimensional double well covering the full crossover from weak interactions to the fermionization limit of strong correlations based on exact quantumdynamical calculations it is found that the tunneling dynamics of two atoms evolves from rabi oscillations to correlated pair tunneling as we increase the interaction strength near the fermionization limit fragmentedpair tunneling is observed and analyzed in terms of the population imbalance and twobody correlations for more atoms the tunneling dynamics near fermionization is shown to be sensitive to both atom number and initial configuration | [['we', 'investigate', 'fewboson', 'tunneling', 'in', 'a', 'onedimensional', 'double', 'well', 'covering', 'the', 'full', 'crossover', 'from', 'weak', 'interactions', 'to', 'the', 'fermionization', 'limit', 'of', 'strong', 'correlations', 'based', 'on', 'exact', 'quantumdynamical', 'calculations', 'it', 'is', 'found', 'that', 'the', 'tunneling', 'dynamics', 'of', 'two', 'atoms', 'evolves', 'from', 'rabi', 'oscillations', 'to', 'correlated', 'pair', 'tunneling', 'as', 'we', 'increase', 'the', 'interaction', 'strength', 'near', 'the', 'fermionization', 'limit', 'fragmentedpair', 'tunneling', 'is', 'observed', 'and', 'analyzed', 'in', 'terms', 'of', 'the', 'population', 'imbalance', 'and', 'twobody', 'correlations', 'for', 'more', 'atoms', 'the', 'tunneling', 'dynamics', 'near', 'fermionization', 'is', 'shown', 'to', 'be', 'sensitive', 'to', 'both', 'atom', 'number', 'and', 'initial', 'configuration']] | [-0.16105516562497035, 0.20528081059455872, -0.05337245427395424, 0.16089179502256837, 0.04009037295408133, -0.16545302802179424, 0.07109780530703978, 0.3522834783419967, -0.2672008636148853, -0.27073278608214524, -0.04655549344347997, -0.3480108562236031, -0.10449382274722059, 0.1506806201689566, 0.099962361715734, 0.006907118789644705, 0.06500646051329871, 0.0045245596828560036, -0.06143190188902534, -0.2003495143610053, 0.30996243038421706, 0.038026252161297534, 0.2985497091586391, 0.09310187298494081, 0.050607751842795146, 0.07792712413809366, 0.10383099470701483, 0.038362845076416206, -0.13911981244964408, 0.009290849189791414, 0.18282607160573308, -0.037117863865569235, 0.19400975494128134, -0.4372134757331676, -0.17109758619012105, 0.0705952197416789, 0.2306973967080315, 0.20700283656672885, -0.018301389136953124, -0.33146708572490347, -0.0709619994689193, -0.1514580191837417, -0.1243376297255357, -0.10187044534832239, 0.050373921207048825, 0.05797621098657449, -0.28791610697905223, 0.09378702617767784, -0.0038923057714580662, 0.023129364022154025, -0.033419064569493964, -0.006469279248267412, -0.0397895325647874, 0.08360874666832388, 0.010484395002842777, 0.0165874474733654, 0.1695170528255403, -0.11530679302910964, -0.08371000893983162, 0.34339612565106814, -0.13334478557420273, -0.1204700741916895, 0.2350400511201264, -0.21632294105365873, -0.06313246208139592, 0.1482146071166628, 0.08782818754100137, 0.07587614295641995, -0.15942912001369727, 0.07779407664008128, -0.004007505346089601, 0.1622905952257699, 0.05089457597480052, 0.08269686160298685, 0.21449053646582697, 0.18939009740327795, 0.04741422086954117, 0.14537201983103942, -0.14970065908661734, -0.18051892907565667, -0.23832414808372657, -0.09408974049793971, -0.22920412074567542, 0.09378868376629221, -0.009848189394849922, -0.17605805271402156, 0.3667603632693903, 0.15118624130263925, 0.2044541149503655, -0.012068767454992566, 0.24939812937130532, 0.168164318788331, 0.03525805388473802, -0.011002792685758322, 0.2884744016143183, 0.18704982358548378, 0.06591335733472888, -0.3483468553568754, 0.020518686156719923, 0.014207196235656739] |
709.3164 | Transport through constricted quantum Hall edge systems: beyond the
quantum point contact | Motivated by surprises in recent experimental findings, we study transport in
a model of a quantum Hall edge system with a gate-voltage controlled
constriction. A finite backscattered current at finite edge-bias is explained
from a Landauer-Buttiker analysis as arising from the splitting of edge current
caused by the difference in the filling fractions of the bulk ($\nu_{1}$) and
constriction ($\nu_{2}$) quantum Hall fluid regions. We develop a hydrodynamic
theory for bosonic edge modes inspired by this model. The constriction region
splits the incident long-wavelength chiral edge density-wave excitations among
the transmitting and reflecting edge states encircling it. The competition
between two interedge tunneling processes taking place inside the constriction,
related by a quasiparticle-quasihole (qp-qh) symmetry, is accounted for by
computing the boundary theories of the system. This competition is found to
determine the strong coupling configuration of the system. A separatrix of
qp-qh symmetric gapless critical states is found to lie between the relevant RG
flows to a metallic and an insulating configuration of the constriction system.
This constitutes an interesting generalisation of the Kane-Fisher quantum
impurity model. The features of the RG phase diagram are also confirmed by
computing various correlators and chiral linear conductances of the system. In
this way, our results find excellent agreement with many recent puzzling
experimental results for the cases of $\nu_{1}=1/3,~1$. We also discuss and
make predictions for the case of a constriction system with $\nu_{2}=5/2$.
| cond-mat.mes-hall | motivated by surprises in recent experimental findings we study transport in a model of a quantum hall edge system with a gatevoltage controlled constriction a finite backscattered current at finite edgebias is explained from a landauerbuttiker analysis as arising from the splitting of edge current caused by the difference in the filling fractions of the bulk nu_1 and constriction nu_2 quantum hall fluid regions we develop a hydrodynamic theory for bosonic edge modes inspired by this model the constriction region splits the incident longwavelength chiral edge densitywave excitations among the transmitting and reflecting edge states encircling it the competition between two interedge tunneling processes taking place inside the constriction related by a quasiparticlequasihole qpqh symmetry is accounted for by computing the boundary theories of the system this competition is found to determine the strong coupling configuration of the system a separatrix of qpqh symmetric gapless critical states is found to lie between the relevant rg flows to a metallic and an insulating configuration of the constriction system this constitutes an interesting generalisation of the kanefisher quantum impurity model the features of the rg phase diagram are also confirmed by computing various correlators and chiral linear conductances of the system in this way our results find excellent agreement with many recent puzzling experimental results for the cases of nu_1131 we also discuss and make predictions for the case of a constriction system with nu_252 | [['motivated', 'by', 'surprises', 'in', 'recent', 'experimental', 'findings', 'we', 'study', 'transport', 'in', 'a', 'model', 'of', 'a', 'quantum', 'hall', 'edge', 'system', 'with', 'a', 'gatevoltage', 'controlled', 'constriction', 'a', 'finite', 'backscattered', 'current', 'at', 'finite', 'edgebias', 'is', 'explained', 'from', 'a', 'landauerbuttiker', 'analysis', 'as', 'arising', 'from', 'the', 'splitting', 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0.055937221362862895] |
709.3165 | Level sets of the stochastic wave equation driven by a symmetric
L\'{e}vy noise | We consider the solution $\{u(t,x);t\geq0,x\in\mathbf{R}\}$ of a system of
$d$ linear stochastic wave equations driven by a $d$-dimensional symmetric
space-time L\'{e}vy noise. We provide a necessary and sufficient condition on
the characteristic exponent of the L\'{e}vy noise, which describes exactly when
the zero set of $u$ is non-void. We also compute the Hausdorff dimension of
that zero set when it is non-empty. These results will follow from more general
potential-theoretic theorems on the level sets of L\'{e}vy sheets.
| math.PR | we consider the solution utxtgeq0xinmathbfr of a system of d linear stochastic wave equations driven by a ddimensional symmetric spacetime levy noise we provide a necessary and sufficient condition on the characteristic exponent of the levy noise which describes exactly when the zero set of u is nonvoid we also compute the hausdorff dimension of that zero set when it is nonempty these results will follow from more general potentialtheoretic theorems on the level sets of levy sheets | [['we', 'consider', 'the', 'solution', 'utxtgeq0xinmathbfr', 'of', 'a', 'system', 'of', 'd', 'linear', 'stochastic', 'wave', 'equations', 'driven', 'by', 'a', 'ddimensional', 'symmetric', 'spacetime', 'levy', 'noise', 'we', 'provide', 'a', 'necessary', 'and', 'sufficient', 'condition', 'on', 'the', 'characteristic', 'exponent', 'of', 'the', 'levy', 'noise', 'which', 'describes', 'exactly', 'when', 'the', 'zero', 'set', 'of', 'u', 'is', 'nonvoid', 'we', 'also', 'compute', 'the', 'hausdorff', 'dimension', 'of', 'that', 'zero', 'set', 'when', 'it', 'is', 'nonempty', 'these', 'results', 'will', 'follow', 'from', 'more', 'general', 'potentialtheoretic', 'theorems', 'on', 'the', 'level', 'sets', 'of', 'levy', 'sheets']] | [-0.1502368914299076, 0.14448173045991108, -0.08155080995389394, 0.0768749476712826, -0.04307628289702675, -0.16553088243107322, 0.03643545939272584, 0.30874768853211754, -0.26672302837205397, -0.1435385549307934, 0.10430661247825468, -0.2917473285712979, -0.16221394435829156, 0.19929255826047973, -0.08657499084660372, 0.06140993754137549, 0.01959167454125626, 0.06284780273638822, -0.03204469714470982, -0.26850747622174587, 0.40478136758138605, -0.03733465341585023, 0.23200151944750702, 0.0002473739653148434, 0.15135452153717543, -0.038827084062330715, -0.04597948997450823, 0.05632687323762999, -0.19924831239541754, 0.06145141463629998, 0.2041719201256751, 0.08719177762131122, 0.2815311637392582, -0.39143306012083956, -0.16225565283849544, 0.15187690124012432, 0.07817124344322335, 0.08159964044076427, 0.025378709818295493, -0.29670073323000173, 0.13708608886287488, -0.11971561719554585, -0.21069507318996378, -0.07118380601614617, 0.08271491800906597, 0.029323691453833085, -0.3077517267219819, 0.06839083975397184, 0.14628427844137776, 0.027895328120098678, -0.08625704097234971, -0.1121326550121673, -0.03450842946163052, 0.06256442900078807, 0.0033490815481122633, -0.0010399491410527089, 0.09887753640507142, -0.06236551391178524, -0.08083171099908167, 0.3384878422351336, -0.0911522386807271, -0.29585588834696, 0.16843865289316548, -0.2244213096035475, -0.0954552353813325, 0.1412723617894309, 0.16541964922390587, 0.10679044986941985, -0.16058638291894578, 0.1770359346175917, -0.07547568064164098, 0.13111609531802354, 0.09609688756769741, 0.015519250762594453, 0.15164814392927212, 0.12576033505792547, 0.18746750146247348, 0.1559063610227706, -0.047158972215052546, -0.0855091308158907, -0.37830119410699065, -0.10593499453714142, -0.2021862180032707, 0.15539475516533305, -0.13046957759845051, -0.21459749960280083, 0.35577163673550277, 0.12851271286074603, 0.15527042755010453, 0.10301021092674126, 0.22596170893543727, 0.19312478270035466, -0.0633781216615303, 0.0993096259628217, 0.09931581337972507, 0.14772688954246121, 0.06178436771809281, -0.16755252088383807, 0.023208703773168773, 0.11381293103921336] |
709.3166 | N=2 Quiver Gauge Model and Partial Supersymmetry Breaking | We construct an action of N=2 affine $A_n$ quiver gauge model having
non-canonical kinetic terms and equipped with electric and magnetic FI terms.
N=2 supersymmetry is shown to be broken to N=1 spontaneously and N=1 multiplets
realized on the vacua are given. We also mention the models with different
gauge groups. It is argued that the affine $A_1$ quiver gauge model provides a
dynamical realization to approach the Klebanov-Witten N=1 fixed point.
| hep-th | we construct an action of n2 affine a_n quiver gauge model having noncanonical kinetic terms and equipped with electric and magnetic fi terms n2 supersymmetry is shown to be broken to n1 spontaneously and n1 multiplets realized on the vacua are given we also mention the models with different gauge groups it is argued that the affine a_1 quiver gauge model provides a dynamical realization to approach the klebanovwitten n1 fixed point | [['we', 'construct', 'an', 'action', 'of', 'n2', 'affine', 'a_n', 'quiver', 'gauge', 'model', 'having', 'noncanonical', 'kinetic', 'terms', 'and', 'equipped', 'with', 'electric', 'and', 'magnetic', 'fi', 'terms', 'n2', 'supersymmetry', 'is', 'shown', 'to', 'be', 'broken', 'to', 'n1', 'spontaneously', 'and', 'n1', 'multiplets', 'realized', 'on', 'the', 'vacua', 'are', 'given', 'we', 'also', 'mention', 'the', 'models', 'with', 'different', 'gauge', 'groups', 'it', 'is', 'argued', 'that', 'the', 'affine', 'a_1', 'quiver', 'gauge', 'model', 'provides', 'a', 'dynamical', 'realization', 'to', 'approach', 'the', 'klebanovwitten', 'n1', 'fixed', 'point']] | [-0.16915953194095185, 0.23590722092376382, -0.028587948537379917, 0.08047669625052044, -0.09141828316367334, -0.25561677603885374, -0.0634705828237606, 0.3862294613694151, -0.20824811949084202, -0.26795283294955474, 0.058300476792889334, -0.23985348550033653, -0.18601524352561682, 0.029452823697485857, -0.09106413692805088, -0.02874566935416725, -0.04201768371017857, 0.11351264049557762, -0.06977746459112193, -0.3165119277158131, 0.30973477384799886, -0.04481215022840641, 0.2881376679805625, -0.014752826465862907, 0.16227186243405514, -0.029699384338325925, 0.039747233977929376, -0.04045111331571308, -0.11405594752078388, 0.09529264888907266, 0.2327564348644652, 0.054224257350951016, 0.07996566663496196, -0.4226926638641291, -0.17677449719566438, 0.17011170716594076, 0.19916198240308505, 0.11276059463206264, -0.018333256938300718, -0.27231053684631157, 0.06061629409022215, -0.19089355606896183, -0.1853280539168433, -0.10386250527679092, 0.007167924822877265, -0.11346815939759836, -0.33508920253047514, 0.0005910298750677612, -0.01858077869150697, 0.0933847426980113, -0.06633725646598679, -0.08597289397665817, -0.16974803480035108, 0.029883619481956378, 0.1157576957905096, 0.10779711326015079, 0.09694884720051454, -0.15420873637776822, -0.16710951075138938, 0.3970971611949305, -0.037051570839442625, -0.2829544438411378, 0.14564314887522617, -0.11110046066136824, -0.2131875779078756, 0.08975736333781646, 0.02440639479836035, 0.13608787740425518, -0.04207245872627633, 0.24984113197893343, -0.045705202837578125, 0.08507018654240205, 0.059287792375673436, 0.025114590735433415, 0.2410136569136133, 0.10421175654563639, 0.03291652704097538, 0.12659013037045952, 0.05759004697190701, -0.11319857551198867, -0.432173658731497, -0.10711057394251434, -0.08669049031515089, 0.15853456555244824, -0.13930872053545804, -0.11168046592299813, 0.34762599370959735, 0.11379888405402501, 0.16915543218945256, 0.08100109345590074, 0.1371397185139358, 0.1426818490985574, 0.09711484572229286, -0.01638964491495345, 0.14658245141617954, 0.18156358319942634, -0.008144779072608799, -0.23212439904455096, -0.1933347818897649, 0.20226967975031585] |
709.3167 | Giant Resonances using Correlated Realistic Interactions: The Case for
Second RPA | Lately we have been tackling the problem of describing nuclear collective
excitations starting from correlated realistic nucleon-nucleon (NN)
interactions. The latter are constructed within the Unitary Correlation
Operator Method (UCOM), starting from realistic NN potentials. It has been
concluded that first-order RPA with a two-body UCOM interaction is not capable,
in general, of reproducing quantitatively the properties of giant resonances
(GRs), due to missing higher-order configurations and long-range correlations
as well as neglected three-body terms in the Hamiltonian.
Here we report results on GRs obtained by employing a UCOM interaction based
on the Argonne V18 potential in Second RPA (SRPA) calculations. The same
interaction is used to describe the Hartree-Fock (HF) ground state and the
residual interactions. We find that the inclusion of second-order
configurations -- which effectively dress the underlying HF single-particle
states with self-energy insertions -- produces sizable corrections. The effect
appears essential for a realistic description of GRs when using the UCOM. We
argue that effects of higher than second order should be negligible. Therefore,
the UCOM-SRPA emerges as a promising tool for consistent calculations of
collective states in closed-shell nuclei. This is an interesting development,
given that SRPA can accommodate more physics than RPA (e.g., fragmentation).
Remaining discrepancies due to the missing three-body terms and
self-consistency issues of the present SRPA model are pointed out.
| nucl-th | lately we have been tackling the problem of describing nuclear collective excitations starting from correlated realistic nucleonnucleon nn interactions the latter are constructed within the unitary correlation operator method ucom starting from realistic nn potentials it has been concluded that firstorder rpa with a twobody ucom interaction is not capable in general of reproducing quantitatively the properties of giant resonances grs due to missing higherorder configurations and longrange correlations as well as neglected threebody terms in the hamiltonian here we report results on grs obtained by employing a ucom interaction based on the argonne v18 potential in second rpa srpa calculations the same interaction is used to describe the hartreefock hf ground state and the residual interactions we find that the inclusion of secondorder configurations which effectively dress the underlying hf singleparticle states with selfenergy insertions produces sizable corrections the effect appears essential for a realistic description of grs when using the ucom we argue that effects of higher than second order should be negligible therefore the ucomsrpa emerges as a promising tool for consistent calculations of collective states in closedshell nuclei this is an interesting development given that srpa can accommodate more physics than rpa eg fragmentation remaining discrepancies due to the missing threebody terms and selfconsistency issues of the present srpa model are pointed out | [['lately', 'we', 'have', 'been', 'tackling', 'the', 'problem', 'of', 'describing', 'nuclear', 'collective', 'excitations', 'starting', 'from', 'correlated', 'realistic', 'nucleonnucleon', 'nn', 'interactions', 'the', 'latter', 'are', 'constructed', 'within', 'the', 'unitary', 'correlation', 'operator', 'method', 'ucom', 'starting', 'from', 'realistic', 'nn', 'potentials', 'it', 'has', 'been', 'concluded', 'that', 'firstorder', 'rpa', 'with', 'a', 'twobody', 'ucom', 'interaction', 'is', 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709.3168 | XMM-Newton observation of the cluster ZW 1305.4+2941 in the field SA 57 | We report the details of an XMM observation of the cluster of galaxies ZW
1305.4+2941 at the intermediate redshift of z=0.241, increasing the small
number of interesting X-ray constraints on properties of ~3 keV systems above
z=0.1. Based on the 45 ks XMM observation, we find that within a radius of 228
kpc the cluster has an unabsorbed X-ray flux of 2.07 +/- 0.06 x 10^{-13}
erg/cm^2/s, a temperature of kT = 3.17 +/-0.19 keV, in good agreement with the
previous ROSAT determination, and an abundance of 0.93 (+0.24,-0.29} solar.
Within r_500 = 723 +/- 6 kpc the rest-frame bolometric X-ray luminosity is L_X
(r_500)= 1.25 +/- 0.16 x 10^{44} erg/s. The cluster obeys the scaling relations
for L_X, T and the velocity dispersion derived at intermediate redshift for kT
< 4 keV, for which we provide new fits for all literature objects. The mass
derived from an isothermal NFW model fit is, M_vir = 2.77 +/- 0.21 x 10^{14}
solar masses, with a concentration parameter, c = 7.9 +/- 0.5.
| astro-ph | we report the details of an xmm observation of the cluster of galaxies zw 130542941 at the intermediate redshift of z0241 increasing the small number of interesting xray constraints on properties of 3 kev systems above z01 based on the 45 ks xmm observation we find that within a radius of 228 kpc the cluster has an unabsorbed xray flux of 207 006 x 1013 ergcm2s a temperature of kt 317 019 kev in good agreement with the previous rosat determination and an abundance of 093 024029 solar within r_500 723 6 kpc the restframe bolometric xray luminosity is l_x r_500 125 016 x 1044 ergs the cluster obeys the scaling relations for l_x t and the velocity dispersion derived at intermediate redshift for kt 4 kev for which we provide new fits for all literature objects the mass derived from an isothermal nfw model fit is m_vir 277 021 x 1014 solar masses with a concentration parameter c 79 05 | [['we', 'report', 'the', 'details', 'of', 'an', 'xmm', 'observation', 'of', 'the', 'cluster', 'of', 'galaxies', 'zw', '130542941', 'at', 'the', 'intermediate', 'redshift', 'of', 'z0241', 'increasing', 'the', 'small', 'number', 'of', 'interesting', 'xray', 'constraints', 'on', 'properties', 'of', '3', 'kev', 'systems', 'above', 'z01', 'based', 'on', 'the', '45', 'ks', 'xmm', 'observation', 'we', 'find', 'that', 'within', 'a', 'radius', 'of', '228', 'kpc', 'the', 'cluster', 'has', 'an', 'unabsorbed', 'xray', 'flux', 'of', '207', '006', 'x', '1013', 'ergcm2s', 'a', 'temperature', 'of', 'kt', '317', '019', 'kev', 'in', 'good', 'agreement', 'with', 'the', 'previous', 'rosat', 'determination', 'and', 'an', 'abundance', 'of', '093', '024029', 'solar', 'within', 'r_500', '723', '6', 'kpc', 'the', 'restframe', 'bolometric', 'xray', 'luminosity', 'is', 'l_x', 'r_500', '125', '016', 'x', '1044', 'ergs', 'the', 'cluster', 'obeys', 'the', 'scaling', 'relations', 'for', 'l_x', 't', 'and', 'the', 'velocity', 'dispersion', 'derived', 'at', 'intermediate', 'redshift', 'for', 'kt', '4', 'kev', 'for', 'which', 'we', 'provide', 'new', 'fits', 'for', 'all', 'literature', 'objects', 'the', 'mass', 'derived', 'from', 'an', 'isothermal', 'nfw', 'model', 'fit', 'is', 'm_vir', '277', '021', 'x', '1014', 'solar', 'masses', 'with', 'a', 'concentration', 'parameter', 'c', '79', '05']] | [-0.05445329191846938, 0.12744180533682775, -0.032844021822078316, 0.1023247663784165, -0.033125217427069295, -0.07920769577119441, 0.10974289674630176, 0.433914199686621, -0.09946639938397875, -0.4342249622450599, 0.01994544217772664, -0.40475515357536984, 0.11676676817757042, 0.23300913753226707, 0.00504676226225882, -0.00935470884668794, -0.019169285828601335, -0.059046469915980955, -0.14404125163560774, -0.27478762366440546, 0.1754731248100465, 0.05600854912013865, 0.17983240833214212, 0.006613883331323726, 0.10877141199086475, -0.06423509380886261, -0.01903004366668719, -0.04107048647784734, -0.21023037051657675, 0.002633491168505972, 0.21699927186614043, 0.07640312692110686, 0.1872023317898046, -0.22644800192358183, -0.1509017295298414, 0.023679118685253388, 0.1729922375385355, -0.13326729547978036, -0.009367944977741358, -0.23122486903603318, 0.09724872484449533, -0.24293679994224465, -0.18117756373101634, 0.13388848381376342, 0.09894483456317382, -0.0051724300397732875, -0.19994650097177777, 0.26730084323171005, -0.03911143039129203, 0.10937214325641907, -0.18666031991155183, -0.17020570833082724, -0.03979888098326193, -0.027437651686111016, -0.0012549036514025794, 0.13861559826845327, 0.2099477280567907, -0.08843574150394695, 0.019805349122225955, 0.38289518237019643, -0.03160048988235148, 0.11617047913796917, 0.14994251826937205, -0.18597987560626073, -0.20691551636208932, 0.20228605724493914, 0.09103501812095129, 0.059216233721898895, -0.16859959744364966, 0.08708246950210438, -0.07234370489560563, 0.3870534277285296, 0.02046657155291472, 0.030824382192205825, 0.30042608200183396, 0.10569237770521542, 0.03648738220593409, 0.033863704996419296, -0.2927950091978323, 0.05728361834005653, -0.28652172207631926, -0.05551427945014254, -0.07418390990992348, 0.17056366870226927, -0.24895811080914196, -0.10040105552054482, 0.30851840104058953, 0.11520798176621334, 0.2759220526919146, 0.12516204405301898, 0.24473272802166735, 0.11407303237768857, 0.03288051001860206, 0.12058210980642257, 0.3236941494743186, 0.22070242341348453, 0.09068550518419169, -0.19611056634560936, -0.024552713419440427, 0.010424650950604885] |
709.3169 | Singular extensions and triangulated categories | We propose a new look on triangulated categories, which is based on the
second Hochschild cohomology.
| math.KT math.RT | we propose a new look on triangulated categories which is based on the second hochschild cohomology | [['we', 'propose', 'a', 'new', 'look', 'on', 'triangulated', 'categories', 'which', 'is', 'based', 'on', 'the', 'second', 'hochschild', 'cohomology']] | [-0.20796729787252843, -0.055256924068089575, -0.1767499708221294, 0.1000145140933455, -0.16679222090169787, -0.1762203138496261, -0.042802291514817625, 0.35098814516095445, -0.35648310370743275, -0.1833105131809134, 0.1172263631306123, -0.10686009866185486, -0.19715270400047302, 0.12222695536911488, -0.2849387640017085, -0.14223075192421675, 0.08391416864469647, 0.1786562642082572, -0.053930301568470895, -0.2603780773933977, 0.5992019381374121, -0.03674943814985454, 0.25951896351762116, 0.08548191539011896, 0.1111348585691303, -0.05143043386124191, -0.004981987760402262, -0.06443305243737996, -0.18457411898998544, 0.2540774213266559, 0.24222826241748407, -0.025249839818570763, 0.18957611359655857, -0.4147701553301886, -0.030438281130045652, 0.1056062079151161, 0.028237180085852742, 0.09905738737870706, -0.09875316156831104, -0.36455809138715267, 0.10443560598650947, -0.2304083681665361, 0.10023697919677943, -0.13430567411705852, 0.04477469273842871, -0.02049958595307544, -0.21665100986137986, -0.037626302015269175, -0.019528191071003675, 0.1380489764851518, -0.14608864588080905, -0.09667417840682901, -0.05470636882819235, 0.10551425692392513, -0.13078313642472494, -0.00015767358127050102, 0.1413571229786612, -0.05168304481776431, -0.1942446117172949, 0.4373325649648905, -0.060622099437750876, -0.18573964343522675, 0.147939768168726, -0.13874151732306927, -0.3051039520651102, 0.048014255706220865, 0.1173251133877784, 0.27885039569810033, -0.020252212649211287, 0.10989484540186822, -0.12975844828179106, 0.12880132102873176, 0.04792453907430172, -0.04056789446622133, 0.20940045337192714, 0.24854002054780722, 0.07203349797055125, 0.22043586010113358, -0.1276958599773934, -0.02769907590118237, -0.3465605075471103, -0.2502635582932271, -0.0952346685808152, 0.13912500446895137, -0.0511334681941662, -0.21012178156524897, 0.4761262945830822, 0.2075642861891538, 0.23721463000401855, 0.22660745459870668, 0.3302375441417098, 0.02816522540524602, 0.1230120100080967, 0.01963726498070173, 0.11608835216611624, 0.16273825545795262, 0.03275669243885204, 0.0193641650967038, -0.003828191402135417, 0.38024835046962835] |
709.317 | Non-commutative Real Algebraic Geometry - Some Basic Concepts and First
Ideas | We propose and discuss how basic notions (quadratic modules, positive
elements, semialgebraic sets, Archimedean orderings) and results
(Positivstellensaetze) from real algebraic geometry can be generalized to
noncommutative $*$-algebras. A version of Stengle's Positivstellensatz for $n
\times n$ matrices of real polynomials is proved.
| math.OA | we propose and discuss how basic notions quadratic modules positive elements semialgebraic sets archimedean orderings and results positivstellensaetze from real algebraic geometry can be generalized to noncommutative algebras a version of stengles positivstellensatz for n times n matrices of real polynomials is proved | [['we', 'propose', 'and', 'discuss', 'how', 'basic', 'notions', 'quadratic', 'modules', 'positive', 'elements', 'semialgebraic', 'sets', 'archimedean', 'orderings', 'and', 'results', 'positivstellensaetze', 'from', 'real', 'algebraic', 'geometry', 'can', 'be', 'generalized', 'to', 'noncommutative', 'algebras', 'a', 'version', 'of', 'stengles', 'positivstellensatz', 'for', 'n', 'times', 'n', 'matrices', 'of', 'real', 'polynomials', 'is', 'proved']] | [-0.17833819803668233, 0.08425389392664884, -0.07258333838204058, 0.1443650517186786, -0.10506209481234957, -0.17596707023998223, -0.04899512499389125, 0.29308040760366655, -0.3622309372919362, -0.19339983149363502, 0.1084337957294249, -0.2512761972299436, -0.21865891793561054, 0.19816821609146712, -0.1399239142902377, -0.002964927474173104, 0.021305581327618624, 0.04750510271093467, -0.16333549008591147, -0.38668709416396735, 0.3945610958446817, -0.047558403730097155, 0.18629362603376914, 0.0372513337287961, 0.1367559141831518, 0.032194280826554796, 0.004629547196644835, 0.019631280268474324, -0.1384993970348704, 0.11382525389241736, 0.3666597204055728, 0.19453698478457404, 0.20175376180105092, -0.42693158661628644, -0.04850134909970731, 0.22042629665626987, 0.10352756433961231, 0.014402291080886044, 0.011563301631590216, -0.26847527239744257, 0.12180321483316309, -0.1330556866553862, -0.16760293779349544, -0.1507526286764116, 0.06935646139630457, 0.028535954881368612, -0.331742162021195, -0.02972876421096394, 0.07920668671679933, 0.16576114444561849, -0.0486411160403272, -0.18423111795549985, 0.037964185290947194, -0.019827775804825674, -0.07828901874514796, -0.05607582384822663, 0.11864387649452178, 0.050307049325144876, -0.23259534273387455, 0.32926850665996715, 0.011864442287421808, -0.28152440520139727, 0.12153437497412287, -0.16259191352192584, -0.14387429147822464, 0.0453118291433628, 0.13489671707971068, 0.13472381038818418, -0.033045740389242406, 0.2552007413554437, -0.18307771671154513, 0.0723328078847106, 0.12485044540428533, 0.01475058373336385, 0.11987958603152414, -0.0030701459135587623, 0.07345743017362022, 0.19361661349866177, 0.11145221728195505, -0.08277763025380852, -0.323730888390323, -0.1711221659306164, -0.15095219159748677, 0.1553930013139573, -0.2125771277713328, -0.1749219905766772, 0.39309720236172035, 0.0853915870212382, 0.1637653319573984, 0.15911280311553216, 0.23285132730606853, 0.07365670325461685, 0.05087572645123412, 0.04444585841648826, 0.013712002918487641, 0.3073190528581419, 0.009759223179482832, -0.03115890205201761, 0.001064516581231501, 0.23149784513544747] |
709.3171 | Shear thickening of cornstarch suspensions as a re-entrant jamming
transition | We study the rheology of cornstarch suspensions, a dense system of
non-Brownian particles that exhibits shear thickening, i.e. a viscosity that
increases with increasing shear rate. Using MRI velocimetry we show that the
suspension has a yield stress. From classical rheology it follows that as a
function of the applied stress the suspension is first solid (yield stress),
then liquid and then solid again when it shear thickens. The onset shear rate
for thickening is found to depend on the measurement geometry: the smaller the
gap of the shear cell, the lower the shear rate at which thickening occurs.
Shear thickening can then be interpreted as the consequence of the Reynolds
dilatancy: the system under flow wants to dilate but instead undergoes a
jamming transition because it is confined, as confirmed by measurement of the
dilation of the suspension as a function of the shear rate.
| cond-mat.soft cond-mat.stat-mech | we study the rheology of cornstarch suspensions a dense system of nonbrownian particles that exhibits shear thickening ie a viscosity that increases with increasing shear rate using mri velocimetry we show that the suspension has a yield stress from classical rheology it follows that as a function of the applied stress the suspension is first solid yield stress then liquid and then solid again when it shear thickens the onset shear rate for thickening is found to depend on the measurement geometry the smaller the gap of the shear cell the lower the shear rate at which thickening occurs shear thickening can then be interpreted as the consequence of the reynolds dilatancy the system under flow wants to dilate but instead undergoes a jamming transition because it is confined as confirmed by measurement of the dilation of the suspension as a function of the shear rate | [['we', 'study', 'the', 'rheology', 'of', 'cornstarch', 'suspensions', 'a', 'dense', 'system', 'of', 'nonbrownian', 'particles', 'that', 'exhibits', 'shear', 'thickening', 'ie', 'a', 'viscosity', 'that', 'increases', 'with', 'increasing', 'shear', 'rate', 'using', 'mri', 'velocimetry', 'we', 'show', 'that', 'the', 'suspension', 'has', 'a', 'yield', 'stress', 'from', 'classical', 'rheology', 'it', 'follows', 'that', 'as', 'a', 'function', 'of', 'the', 'applied', 'stress', 'the', 'suspension', 'is', 'first', 'solid', 'yield', 'stress', 'then', 'liquid', 'and', 'then', 'solid', 'again', 'when', 'it', 'shear', 'thickens', 'the', 'onset', 'shear', 'rate', 'for', 'thickening', 'is', 'found', 'to', 'depend', 'on', 'the', 'measurement', 'geometry', 'the', 'smaller', 'the', 'gap', 'of', 'the', 'shear', 'cell', 'the', 'lower', 'the', 'shear', 'rate', 'at', 'which', 'thickening', 'occurs', 'shear', 'thickening', 'can', 'then', 'be', 'interpreted', 'as', 'the', 'consequence', 'of', 'the', 'reynolds', 'dilatancy', 'the', 'system', 'under', 'flow', 'wants', 'to', 'dilate', 'but', 'instead', 'undergoes', 'a', 'jamming', 'transition', 'because', 'it', 'is', 'confined', 'as', 'confirmed', 'by', 'measurement', 'of', 'the', 'dilation', 'of', 'the', 'suspension', 'as', 'a', 'function', 'of', 'the', 'shear', 'rate']] | [-0.14545252854929447, 0.23722327564450696, -0.15406965346662455, -0.05482612876301274, -0.0053580793845531055, -0.08621422119744837, 0.011488206167896725, 0.28909367074143805, -0.35890544240350186, -0.20378842391073704, 0.105479427080678, -0.2383517420608295, -0.19482482324851907, 0.1971108298238418, -0.048262211933496016, 0.06552671888294591, 0.026054625158606428, 0.03896053906925635, -0.03572218912280458, -0.18571583239348885, 0.2428272151713553, 0.06893546099787297, 0.3309671404350498, 0.06277043827967271, 0.11889194716916304, -0.033038486582508124, 0.023734081160175065, 0.1356059292344096, -0.24090032528369043, -0.04602384611275302, 0.20511268326464072, 0.007534070597476747, 0.22201714166184913, -0.3936697073625273, -0.24503711539508827, 0.0881834449103, 0.11476725681799732, 0.09195933800608506, -0.027090812393995193, -0.178412871078065, 0.08087109419045178, -0.1844724461640397, -0.07132463817076426, -0.05573268531030682, 0.04884656451081168, 0.03787042542615082, -0.2741206850799132, 0.24077516258375287, 0.08294196566726297, 0.06842562784632183, -0.11832976855388651, -0.014002555565053776, -0.09801391697463209, 0.11374489379323514, 0.1450476432809198, 0.08550124543827435, 0.29967103503351034, -0.19308607735270825, 0.01913642377930706, 0.4273260036508923, -0.05788956659013558, -0.17513959676231425, 0.24434031027190592, -0.18338429122487057, -0.05647670820595422, 0.23150323359423305, 0.19785314738154028, 0.07629418018120915, -0.059242575941786765, -0.0239635360724618, -0.06793155287366921, 0.20322591512884997, 0.10321222083668595, -0.09912157557388028, 0.2051351009995664, 0.2179169967843934, 0.09313526314010283, 0.1961131481739233, -0.12836189853579238, -0.03557212902902791, -0.2931024939434169, -0.20482376379228823, -0.20393496200008548, 0.06633152566811912, -0.11692683698522957, -0.19776014822267302, 0.27469173674663044, 0.05461575798586662, 0.21431763115504834, 0.09893318468207264, 0.2742624966816798, 0.09374845044827726, 0.06334335031386541, 0.0356338715805889, 0.36053808349860855, 0.1798137184607235, 0.1408141930491906, -0.23584054804037083, 0.11310536838662874, 0.09141941755142523] |
709.3172 | Impurity Effect on Superconducting Properties in Molecular Substituted
Organic Superconductor $\kappa$-(ET)$_2$Cu(NCS)$_2$ | We report an impurity effect in the organic superconductor
$\kappa$-(ET)$_2$Cu(NCS)$_2$ by substitution of the ET molecule with an
analogue, bis(methyleneditio)tetrathiafulvalene (MT). The superconducting
transition temperature decreases with increasing substitution. The in-plane
magnetic penetration depth is enhanced with substitution, which is
quantitatively attributed to the decrease in the in-plane mean free path. The
enhancement of the penetration depth can also explain the reduction of the
effective pinning in terms of the condensation energy.
| cond-mat.supr-con cond-mat.str-el | we report an impurity effect in the organic superconductor kappaet_2cuncs_2 by substitution of the et molecule with an analogue bismethyleneditiotetrathiafulvalene mt the superconducting transition temperature decreases with increasing substitution the inplane magnetic penetration depth is enhanced with substitution which is quantitatively attributed to the decrease in the inplane mean free path the enhancement of the penetration depth can also explain the reduction of the effective pinning in terms of the condensation energy | [['we', 'report', 'an', 'impurity', 'effect', 'in', 'the', 'organic', 'superconductor', 'kappaet_2cuncs_2', 'by', 'substitution', 'of', 'the', 'et', 'molecule', 'with', 'an', 'analogue', 'bismethyleneditiotetrathiafulvalene', 'mt', 'the', 'superconducting', 'transition', 'temperature', 'decreases', 'with', 'increasing', 'substitution', 'the', 'inplane', 'magnetic', 'penetration', 'depth', 'is', 'enhanced', 'with', 'substitution', 'which', 'is', 'quantitatively', 'attributed', 'to', 'the', 'decrease', 'in', 'the', 'inplane', 'mean', 'free', 'path', 'the', 'enhancement', 'of', 'the', 'penetration', 'depth', 'can', 'also', 'explain', 'the', 'reduction', 'of', 'the', 'effective', 'pinning', 'in', 'terms', 'of', 'the', 'condensation', 'energy']] | [-0.1524440445740458, 0.25253334940898126, 0.01787193005406101, -0.008363132191244776, -0.02670126257490524, -0.07578771451199559, 0.0948851465929667, 0.3490822800028492, -0.29744714616574874, -0.33634625648109007, -0.029627255765839258, -0.35052590098389436, -0.10197926544859795, 0.14016186165242966, -0.029093688537537212, -0.0374843270294893, -0.06380973370667074, 0.03146702455501006, -0.08771432125383437, -0.2479325208393201, 0.27186862650838955, 0.11634699437557391, 0.3781378956013162, 0.16045429634789504, 0.022393745225919803, 0.005569794802257503, 0.108706233022787, 0.0756086408042572, -0.14791714475149106, 0.09813475797713643, 0.19886170597878142, -0.08874987769858833, 0.16623256093179675, -0.4079516000691539, -0.24801589847660402, 0.03794744035268439, 0.16872882796943345, 0.15005699627291622, -0.055411928959484345, -0.2309027574956417, 0.029928188115148475, -0.12745176929928048, -0.12744526542119786, -0.019832701120578066, 0.02599776465393288, 0.027642812212588082, -0.2521643317238966, 0.09570821905328275, 0.07911399295422393, 0.18652093359334787, -0.13232292701214762, -0.11162434741329978, -0.051628690580247154, 0.022826101801449984, 0.07088243753426302, 0.11376910557655591, 0.17558875245789826, -0.1387859780708669, -0.06356172532525281, 0.31310821114711357, -0.12108782253844637, -0.08136973492014156, 0.09830404223847977, -0.13024471622144043, -0.014647786676044196, 0.20703645034785, 0.07906382155693202, 0.05124595211031781, -0.10430197593506793, 0.06699291396308953, 0.011859186570829069, 0.192840704497632, 0.056715997434417964, 0.040121919239385864, 0.21115153096257594, 0.2393068537398071, 0.04053156220839477, 0.20819644170196752, -0.17677131667733192, -0.029700190012513752, -0.2113290307649844, -0.2226915239999202, -0.17148129558715391, 0.05369428193367178, -0.10894726153830407, -0.1921592282826527, 0.3226160417822465, 0.20864115921045903, 0.20407008728615836, -0.04466320812853027, 0.23814462853307036, 0.2190221388640643, 0.12161062646683463, -0.00314497026208211, 0.22462205087739817, 0.1636920172006259, 0.13766589747663116, -0.39178245956353636, 0.13775247507269534, 0.03370112098727218] |
709.3173 | Physics of Interpulse Emission in Radio Pulsars | The magnetized induced Compton scattering off the particles of the
ultrarelativistic electron-positron plasma of pulsar is considered. The main
attention is paid to the transverse regime of the scattering, which holds in a
moderately strong magnetic field. We specifically examine the problem on
induced transverse scattering of the radio beam into the background, which
takes place in the open field line tube of a pulsar. In this case, the
radiation is predominantly scattered backwards and the scattered component may
grow considerably. Based on this effect, we for the first time suggest a
physical explanation of the interpulse emission observed in the profiles of
some pulsars. Our model can naturally account for the peculiar spectral and
polarization properties of the interpulses. Furthermore, it implies a specific
connection of the interpulse to the main pulse, which may reveal itself in the
consistent intensity fluctuations of the components at different timescales.
Diverse observational manifestations of this connection, including the moding
behavior of PSR B1822-09, the peculiar temporal and frequency structure of the
giant interpulses in the Crab pulsar, and the intrinsic phase correspondence of
the subpulse patterns in the main pulse and the interpulse of PSR B1702-19, are
discussed in detail. It is also argued that the pulse-to-pulse fluctuations of
the scattering efficiency may lead to strong variability of the interpulse,
which is yet to be studied observationally. In particular, some pulsars may
exhibit transient interpulses, i.e. the scattered component may be detectable
only occasionally.
| astro-ph | the magnetized induced compton scattering off the particles of the ultrarelativistic electronpositron plasma of pulsar is considered the main attention is paid to the transverse regime of the scattering which holds in a moderately strong magnetic field we specifically examine the problem on induced transverse scattering of the radio beam into the background which takes place in the open field line tube of a pulsar in this case the radiation is predominantly scattered backwards and the scattered component may grow considerably based on this effect we for the first time suggest a physical explanation of the interpulse emission observed in the profiles of some pulsars our model can naturally account for the peculiar spectral and polarization properties of the interpulses furthermore it implies a specific connection of the interpulse to the main pulse which may reveal itself in the consistent intensity fluctuations of the components at different timescales diverse observational manifestations of this connection including the moding behavior of psr b182209 the peculiar temporal and frequency structure of the giant interpulses in the crab pulsar and the intrinsic phase correspondence of the subpulse patterns in the main pulse and the interpulse of psr b170219 are discussed in detail it is also argued that the pulsetopulse fluctuations of the scattering efficiency may lead to strong variability of the interpulse which is yet to be studied observationally in particular some pulsars may exhibit transient interpulses ie the scattered component may be detectable only occasionally | [['the', 'magnetized', 'induced', 'compton', 'scattering', 'off', 'the', 'particles', 'of', 'the', 'ultrarelativistic', 'electronpositron', 'plasma', 'of', 'pulsar', 'is', 'considered', 'the', 'main', 'attention', 'is', 'paid', 'to', 'the', 'transverse', 'regime', 'of', 'the', 'scattering', 'which', 'holds', 'in', 'a', 'moderately', 'strong', 'magnetic', 'field', 'we', 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709.3174 | Midrapidity Production of Secondaries in pp Collisions at RHIC and LHC
Energies in the Quark-Gluon String Model | We consider the phenomenological implications of the assumption that baryons
are systems of three quarks connected through gluon string junction. The
transfer of baryon number in rapidity space due to the string junction
propagation is considered in detail. At high energies this process leads to a
significant effect on the net baryon production in hN collisions at
mid-rapidities. The numerical results for midrapidity inclusive densities of
different secondaries in the framework of the Quark-Gluon String Model are in
reasonable agreement with the experimental data. One universal value lambda ~
0.25 for the strangeness suppression parameter correctly describes the yield
ratios of Lambda/p, Xi/Lambda, and Omega/Xi. The predictions for pp collisions
at LHC energies are also presented.
| hep-ph | we consider the phenomenological implications of the assumption that baryons are systems of three quarks connected through gluon string junction the transfer of baryon number in rapidity space due to the string junction propagation is considered in detail at high energies this process leads to a significant effect on the net baryon production in hn collisions at midrapidities the numerical results for midrapidity inclusive densities of different secondaries in the framework of the quarkgluon string model are in reasonable agreement with the experimental data one universal value lambda 025 for the strangeness suppression parameter correctly describes the yield ratios of lambdap xilambda and omegaxi the predictions for pp collisions at lhc energies are also presented | [['we', 'consider', 'the', 'phenomenological', 'implications', 'of', 'the', 'assumption', 'that', 'baryons', 'are', 'systems', 'of', 'three', 'quarks', 'connected', 'through', 'gluon', 'string', 'junction', 'the', 'transfer', 'of', 'baryon', 'number', 'in', 'rapidity', 'space', 'due', 'to', 'the', 'string', 'junction', 'propagation', 'is', 'considered', 'in', 'detail', 'at', 'high', 'energies', 'this', 'process', 'leads', 'to', 'a', 'significant', 'effect', 'on', 'the', 'net', 'baryon', 'production', 'in', 'hn', 'collisions', 'at', 'midrapidities', 'the', 'numerical', 'results', 'for', 'midrapidity', 'inclusive', 'densities', 'of', 'different', 'secondaries', 'in', 'the', 'framework', 'of', 'the', 'quarkgluon', 'string', 'model', 'are', 'in', 'reasonable', 'agreement', 'with', 'the', 'experimental', 'data', 'one', 'universal', 'value', 'lambda', '025', 'for', 'the', 'strangeness', 'suppression', 'parameter', 'correctly', 'describes', 'the', 'yield', 'ratios', 'of', 'lambdap', 'xilambda', 'and', 'omegaxi', 'the', 'predictions', 'for', 'pp', 'collisions', 'at', 'lhc', 'energies', 'are', 'also', 'presented']] | [-0.10319309158898567, 0.21188528679068322, -0.0952244479674846, 0.14367311821458673, 0.008704619789900987, -0.09648064721942595, 0.005320558843769781, 0.3297324575301584, -0.18427993246232685, -0.26439105541161867, -0.060099467372967175, -0.3547255333594006, 0.04761041646985256, 0.14108192444293072, 0.04213050105811461, 0.076380880938276, 0.1054912513040978, 0.03270653497994594, -0.011904960626650238, -0.2160375134351299, 0.33087950042732384, 0.0761830723763484, 0.26559623752356226, 0.17260675054934363, 0.05619211661042241, 0.0056426590774208306, -0.020946847503174743, 0.0019324813217795251, -0.15605610559685612, 0.03554563671856633, 0.26810835826656093, 0.03710935453621104, 0.13191138145959247, -0.39682822951480096, -0.1583104483459307, 0.11760398498533861, 0.14622015706465943, 0.13540534892159958, -0.04824559850233567, -0.20275550975423792, 0.1259423604781699, -0.2109572520094883, -0.13198248704328486, -0.03280079279742811, 0.03641937011447938, 0.015265340742695591, -0.2983171065621402, 0.1401472373032922, -0.04603007020347792, 0.02064373772793814, -0.03248012791711675, -0.20269940245957316, -0.07067437898772566, 0.010186541971305143, 0.09407944118619249, 0.09319163348687731, 0.13600365544628837, -0.17891464680078967, -0.12552347875645628, 0.38385316274007375, -0.022275924121799028, -0.15424230171003095, 0.15076878723162024, -0.1916529344807318, -0.15750488120981532, 0.1507759359381769, 0.19937014763405467, 0.0744211221397247, -0.16977257498580475, 0.10208631663168173, -0.0035798378177392095, 0.1324704717601771, 0.08815312548742994, 0.07716686588594356, 0.2028739784884712, 0.2114482592082704, -0.043033033536504145, 0.06893151398626683, -0.0895917012254991, -0.10577245231150934, -0.41855460300069786, -0.08305027534699311, -0.09938541015043206, 0.018171126753820672, -0.12557862941163045, -0.07196324345372293, 0.35306298099053296, 0.13185974617853113, 0.29683176708893605, 0.016651418716039347, 0.2924569309324674, 0.1124673142745767, 0.02671957750217584, 0.07115929762873313, 0.27655182815278356, 0.17089657370486985, 0.18108924272591653, -0.26749364811643633, 0.03473215182109372, 0.05453804155366252] |
709.3175 | A deeply embedded young protoplanetary disk around L1489 IRS observed by
the submillimeter array | Circumstellar disks are expected to form early in the process that leads to
the formation of a young star, during the collapse of the dense molecular cloud
core. It is currently not well understood at what stage of the collapse the
disk is formed or how it subsequently evolves. We aim to identify whether an
embedded Keplerian protoplanetary disk resides in the L1489 IRS system. Given
the amount of envelope material still present, such a disk would respresent a
very young example of a protoplanetary disk. Using the Submillimeter Array
(SMA) we have observed the HCO$^+$ $J=$ 3--2 line with a resolution of about
1$''$. At this resolution a protoplanetary disk with a radius of a few hundred
AUs should be detectable, if present. Radiative transfer tools are used to
model the emission from both continuum and line data. We find that these data
are consistent with theoretical models of a collapsing envelope and Keplerian
circumstellar disk. Models reproducing both the SED and the interferometric
continuum observations reveal that the disk is inclined by 40$^\circ$ which is
significantly different to the surrounding envelope (74$^\circ$). This
misalignment of the angular momentum axes may be caused by a gradient within
the angular momentum in the parental cloud or if L1489 IRS is a binary system
rather than just a single star. In the latter case, future observations looking
for variability at sub-arcsecond scales may be able to constrain these
dynamical variations directly. However, if stars form from turbulent cores, the
accreting material will not have a constant angular momentum axis (although the
average is well defined and conserved) in which case it is more likely to have
a misalignment of the angular momentum axes of the disk and the envelope.
| astro-ph | circumstellar disks are expected to form early in the process that leads to the formation of a young star during the collapse of the dense molecular cloud core it is currently not well understood at what stage of the collapse the disk is formed or how it subsequently evolves we aim to identify whether an embedded keplerian protoplanetary disk resides in the l1489 irs system given the amount of envelope material still present such a disk would respresent a very young example of a protoplanetary disk using the submillimeter array sma we have observed the hco j 32 line with a resolution of about 1 at this resolution a protoplanetary disk with a radius of a few hundred aus should be detectable if present radiative transfer tools are used to model the emission from both continuum and line data we find that these data are consistent with theoretical models of a collapsing envelope and keplerian circumstellar disk models reproducing both the sed and the interferometric continuum observations reveal that the disk is inclined by 40circ which is significantly different to the surrounding envelope 74circ this misalignment of the angular momentum axes may be caused by a gradient within the angular momentum in the parental cloud or if l1489 irs is a binary system rather than just a single star in the latter case future observations looking for variability at subarcsecond scales may be able to constrain these dynamical variations directly however if stars form from turbulent cores the accreting material will not have a constant angular momentum axis although the average is well defined and conserved in which case it is more likely to have a misalignment of the angular momentum axes of the disk and the envelope | [['circumstellar', 'disks', 'are', 'expected', 'to', 'form', 'early', 'in', 'the', 'process', 'that', 'leads', 'to', 'the', 'formation', 'of', 'a', 'young', 'star', 'during', 'the', 'collapse', 'of', 'the', 'dense', 'molecular', 'cloud', 'core', 'it', 'is', 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709.3176 | Are the nearby groups of galaxies gravitationally bound objects? | We have compared numerical simulations to observations for the nearby (< 40
Mpc) groups of galaxies (Huchra & Geller 1982 and Ramella et al. 2002). The
group identification is carried out using a group-finding algorithm developed
by Huchra and Geller (1982). Using cosmological N-body simulation code with the
LambdaCDM cosmology, we show that the dynamical properties of groups of
galaxies identified from the simulation data are, in general, in a moderate,
within 2sigma, agreement with the observational catalogues of groups of
galaxies. As simulations offer more dynamical information than observations, we
used the N-body simulation data to calculate whether the nearby groups of
galaxies are gravitationally bound objects by using their virial ratio. We show
that in a LambdaCDM cosmology about 20 per cent of nearby groups of galaxies,
identified by the same algorithm as in the case of observations, are not bound,
but merely groups in a visual sense. This is quite significant, specifically
because estimations of group masses in observations are often based on an
assumption that groups of galaxies found by the friends-of-friends algorithm
are gravitationally bound objects. Simulations with different resolutions show
the same results. We also show how the fraction of gravitationally unbound
groups varies when the apparent magnitude limit of the sample and the value of
the cosmological constant is changed. In general, a larger value of the
Omega_Lambda generates slightly more unbound groups.
| astro-ph | we have compared numerical simulations to observations for the nearby 40 mpc groups of galaxies huchra geller 1982 and ramella et al 2002 the group identification is carried out using a groupfinding algorithm developed by huchra and geller 1982 using cosmological nbody simulation code with the lambdacdm cosmology we show that the dynamical properties of groups of galaxies identified from the simulation data are in general in a moderate within 2sigma agreement with the observational catalogues of groups of galaxies as simulations offer more dynamical information than observations we used the nbody simulation data to calculate whether the nearby groups of galaxies are gravitationally bound objects by using their virial ratio we show that in a lambdacdm cosmology about 20 per cent of nearby groups of galaxies identified by the same algorithm as in the case of observations are not bound but merely groups in a visual sense this is quite significant specifically because estimations of group masses in observations are often based on an assumption that groups of galaxies found by the friendsoffriends algorithm are gravitationally bound objects simulations with different resolutions show the same results we also show how the fraction of gravitationally unbound groups varies when the apparent magnitude limit of the sample and the value of the cosmological constant is changed in general a larger value of the omega_lambda generates slightly more unbound groups | [['we', 'have', 'compared', 'numerical', 'simulations', 'to', 'observations', 'for', 'the', 'nearby', '40', 'mpc', 'groups', 'of', 'galaxies', 'huchra', 'geller', '1982', 'and', 'ramella', 'et', 'al', '2002', 'the', 'group', 'identification', 'is', 'carried', 'out', 'using', 'a', 'groupfinding', 'algorithm', 'developed', 'by', 'huchra', 'and', 'geller', '1982', 'using', 'cosmological', 'nbody', 'simulation', 'code', 'with', 'the', 'lambdacdm', 'cosmology', 'we', 'show', 'that', 'the', 'dynamical', 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709.3177 | RR Lyrae stars in Galactic globular clusters. VI. The Period-Amplitude
relation | We compare theory and observations for fundamental RR Lyrae in the solar
neighborhood and in both Oosterhoff type I (OoI) and type II (OoII) Galactic
globular clusters (GGCs). The distribution of cluster RR_ab in the PA_V plane
depends not only on the metal abundance, but also on the cluster Horizontal
Branch (HB) morphology. On average the observed k_puls parameter, connecting
the period to the visual amplitude, increases when moving from metal-poor to
metal-rich GGCs. However, this parameter shows marginal changes among OoI
clusters with intermediate to red HB types and iron abundances -1.8<= [Fe/H]
<=-1.1, whereas its value decreases in OoII clusters with the bluer HB
morphology. Moreover, at [Fe/H]=-1.7+-0.1 the OoI clusters present redder HB
types and larger <k_puls> values than the OoII clusters. The RR_ab variables in
Omega Cen and in the solar neighborhood further support the evidence that the
spread in [Fe/H], at fixed k_puls, is of the order of +-0.5 dex. Synthetic HB
simulations show that the PA_V plane can provide accurate cluster distance
estimates. The RR_ab variables in OoI and in OoII clusters with very blue HB
types obey a well-defined M_V(RR)-k_puls relation, while those in OoII clusters
with moderately blue HB types present a zero-point that is ~0.05 mag brighter.
Regarding field variables, we show that with [Fe/H]=> -1.0 a unique
M_V(RR)-k_puls relation can be adopted, independently of the parent HB
morphology. Current findings suggest that the PA_V distribution does not seem
to be a robust diagnostic for the metal abundance of RR_ab variables. However,
the same observables can be used to estimate the absolute magnitude of globular
cluster and field RR_ab variables. We show that over the metallicity range
-2.4<= [Fe/H] <= 0.0 the M_V(RR)-[Fe/H] relation shows a parabolic behavior.
| astro-ph | we compare theory and observations for fundamental rr lyrae in the solar neighborhood and in both oosterhoff type i ooi and type ii ooii galactic globular clusters ggcs the distribution of cluster rr_ab in the pa_v plane depends not only on the metal abundance but also on the cluster horizontal branch hb morphology on average the observed k_puls parameter connecting the period to the visual amplitude increases when moving from metalpoor to metalrich ggcs however this parameter shows marginal changes among ooi clusters with intermediate to red hb types and iron abundances 18 feh 11 whereas its value decreases in ooii clusters with the bluer hb morphology moreover at feh1701 the ooi clusters present redder hb types and larger k_puls values than the ooii clusters the rr_ab variables in omega cen and in the solar neighborhood further support the evidence that the spread in feh at fixed k_puls is of the order of 05 dex synthetic hb simulations show that the pa_v plane can provide accurate cluster distance estimates the rr_ab variables in ooi and in ooii clusters with very blue hb types obey a welldefined m_vrrk_puls relation while those in ooii clusters with moderately blue hb types present a zeropoint that is 005 mag brighter regarding field variables we show that with feh 10 a unique m_vrrk_puls relation can be adopted independently of the parent hb morphology current findings suggest that the pa_v distribution does not seem to be a robust diagnostic for the metal abundance of rr_ab variables however the same observables can be used to estimate the absolute magnitude of globular cluster and field rr_ab variables we show that over the metallicity range 24 feh 00 the m_vrrfeh relation shows a parabolic behavior | [['we', 'compare', 'theory', 'and', 'observations', 'for', 'fundamental', 'rr', 'lyrae', 'in', 'the', 'solar', 'neighborhood', 'and', 'in', 'both', 'oosterhoff', 'type', 'i', 'ooi', 'and', 'type', 'ii', 'ooii', 'galactic', 'globular', 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709.3178 | Exact Solution of Semi-Flexible and Super-Flexible Interacting Partially
Directed Walks | We provide the exact generating function for semi-flexible and super-flexible
interacting partially directed walks and also analyse the solution in detail.
We demonstrate that while fully flexible walks have a collapse transition that
is second order and obeys tricritical scaling, once positive stiffness is
introduced the collapse transition becomes first order. This confirms a recent
conjecture based on numerical results. We note that the addition of an
horizontal force in either case does not affect the order of the transition. In
the opposite case where stiffness is discouraged by the energy potential
introduced, which we denote the super-flexible case, the transition also
changes, though more subtly, with the crossover exponent remaining unmoved from
the neutral case but the entropic exponents changing.
| cond-mat.stat-mech cond-mat.soft math.CO | we provide the exact generating function for semiflexible and superflexible interacting partially directed walks and also analyse the solution in detail we demonstrate that while fully flexible walks have a collapse transition that is second order and obeys tricritical scaling once positive stiffness is introduced the collapse transition becomes first order this confirms a recent conjecture based on numerical results we note that the addition of an horizontal force in either case does not affect the order of the transition in the opposite case where stiffness is discouraged by the energy potential introduced which we denote the superflexible case the transition also changes though more subtly with the crossover exponent remaining unmoved from the neutral case but the entropic exponents changing | [['we', 'provide', 'the', 'exact', 'generating', 'function', 'for', 'semiflexible', 'and', 'superflexible', 'interacting', 'partially', 'directed', 'walks', 'and', 'also', 'analyse', 'the', 'solution', 'in', 'detail', 'we', 'demonstrate', 'that', 'while', 'fully', 'flexible', 'walks', 'have', 'a', 'collapse', 'transition', 'that', 'is', 'second', 'order', 'and', 'obeys', 'tricritical', 'scaling', 'once', 'positive', 'stiffness', 'is', 'introduced', 'the', 'collapse', 'transition', 'becomes', 'first', 'order', 'this', 'confirms', 'a', 'recent', 'conjecture', 'based', 'on', 'numerical', 'results', 'we', 'note', 'that', 'the', 'addition', 'of', 'an', 'horizontal', 'force', 'in', 'either', 'case', 'does', 'not', 'affect', 'the', 'order', 'of', 'the', 'transition', 'in', 'the', 'opposite', 'case', 'where', 'stiffness', 'is', 'discouraged', 'by', 'the', 'energy', 'potential', 'introduced', 'which', 'we', 'denote', 'the', 'superflexible', 'case', 'the', 'transition', 'also', 'changes', 'though', 'more', 'subtly', 'with', 'the', 'crossover', 'exponent', 'remaining', 'unmoved', 'from', 'the', 'neutral', 'case', 'but', 'the', 'entropic', 'exponents', 'changing']] | [-0.125905813583752, 0.19057984471806821, -0.06399622005840935, 0.023587041105996787, -0.06264569997609429, -0.1608101496739047, 0.043409153695820886, 0.35278212098001716, -0.22399733698449464, -0.23143569219215704, 0.07475305007508479, -0.2963515493623568, -0.19946618216550527, 0.12295219601580028, 0.0024804997124842237, 0.015083239239664013, 0.0023105515738432647, 0.04625432508505544, -0.0716933912280634, -0.2177322648618245, 0.344120726161519, 0.04053609588519991, 0.27575795251500457, 0.10478062320015386, 0.04930966836106846, -0.007402576415157807, 0.03014983148744502, 0.057767935576574767, -0.1859818315670895, 0.048414692792910864, 0.16759570627258072, 0.020837137090167452, 0.23866863544842526, -0.40358398809340323, -0.19599087212524308, 0.1554955622854353, 0.1821265142849263, 0.12533265460349088, -0.06087971489718517, -0.2639751305271472, 0.056393805476484676, -0.17011123847122453, -0.14136245981750994, -0.06347933730908803, 0.029960020100932662, 0.02169226626464471, -0.25661241402849555, 0.11531982402182224, 0.09505512666332872, 0.03345320240238353, -0.05429663738830626, -0.049843340603431235, -0.017399598717172983, 0.1365807433847432, 0.06521813964526005, 0.0334321472435767, 0.11505079756592627, -0.11930200789992486, -0.08444822308051736, 0.3847412716738191, -0.03756845124093268, -0.19301562822823012, 0.16928294530146198, -0.18585637063883684, -0.15033549023009524, 0.12896406072966693, 0.10750600789524928, 0.11836919369285598, -0.0920553956212116, 0.07041709184765957, -0.020041125552619204, 0.1689960609871049, 0.06433723541367956, -0.05319869080401894, 0.1667154183486054, 0.1392860381370958, 0.07226381301997277, 0.1905736737716317, -0.05302663169558622, -0.15493377145896314, -0.3078601250088453, -0.1485479165586651, -0.18819513140606278, 0.041953077491009884, -0.08484440838427483, -0.17602847006265857, 0.3705997177000557, 0.16043833903127014, 0.2070039553927774, 0.10998521916501756, 0.25758441428442586, 0.1513209951524975, 0.02464865322983941, 0.08033793788215443, 0.2548831221686692, 0.11953549456641767, 0.11386880339436359, -0.20639270648165575, 0.11587236413610864, 0.0787234324022752] |
709.3179 | Maximal regularity for stochastic convolutions driven by Levy noise | We show that the result from Da Prato and Lunardi is valid for stochastic
convolutions driven by L\'evy processes.
| math.PR | we show that the result from da prato and lunardi is valid for stochastic convolutions driven by levy processes | [['we', 'show', 'that', 'the', 'result', 'from', 'da', 'prato', 'and', 'lunardi', 'is', 'valid', 'for', 'stochastic', 'convolutions', 'driven', 'by', 'levy', 'processes']] | [-0.0038095536745256847, 0.18242402773143518, -0.08937463205721644, 0.10359890845009229, -0.01490111317899492, -0.06722118467506435, 0.024154518420497578, 0.37230379775994354, -0.32774011066390407, -0.13812418840825558, 0.10751036407115559, -0.2492024167958233, -0.24056334627999199, 0.2924658801768803, -0.14903247666855654, 0.06226317170593473, 0.05849313332388798, -0.12003519686145915, 0.09435056052946796, -0.15642075871841776, 0.40714742326074177, -0.00886992954959472, 0.22359890904691485, -0.028823880116558738, 0.18233906850218773, 0.03578405837631888, -0.13349274990873206, -0.0433158226725128, -0.10852489208021628, 0.028397427457902167, 0.21672170609235764, 0.06192846244408025, 0.24276761669251654, -0.3639510978634159, -0.22646561342601976, 0.04998532892204821, 0.09149821811297443, 0.04629356714172496, -0.06533745422752367, -0.32111004791739917, 0.12136843660846353, -0.1937775280740526, -0.09289663810179466, -0.12765606263807663, 0.05142648502563437, 0.1286866691791349, -0.4418179305891196, 0.16055266662604278, 0.27374790101829505, -0.031842520719187126, -0.04951234249812034, -0.15959773986186418, 0.025073132374220423, 0.03187782296703921, -0.00038927603357781965, -0.000659173276896278, 0.11044958153636092, -0.05439197416934702, -0.1768239652737975, 0.28382830042392015, -0.19263135033866596, -0.22023998273329604, 0.19505522069003847, -0.18016166811705464, -0.14630737070304653, 0.11061823161111937, 0.13917953045003945, 0.16330704941517776, -0.22464399934849805, 0.1567201570885825, 0.04010946826181478, 0.060927556517223515, 0.09265005360874864, -0.09429910176226662, 0.06699403926419716, 0.14304576439058614, 0.09541227862549324, 0.10414478907154666, -0.02982392493221495, -0.1776839017919782, -0.29842321046938497, -0.13333093954457176, -0.19073044322431087, 0.1193843441691974, -0.0531014089671468, -0.14085527219706112, 0.23127063671644363, 0.17523144574240884, 0.19163633751708808, 0.15230458048689696, 0.17823467703743112, 0.2247107681584263, -0.04408629807747073, 0.1638007707014266, 0.12101599297279285, 0.1644430249127456, 0.1249570676849948, -0.10555550959219949, 0.07165093704437216, 0.10058410755462116] |
709.318 | Longitudinal and Transverse NMR in Superfluid 3He in Anisotropic Aerogel | It was found that NMR properties of both superfluid phases of $^3$He in
anisotropic aerogel can be described in terms of the bulk superfluid order
parameters with the orbital order parameter vector fixed by anisotropy of the
aerogel sample. It was also shown that by a proper squeezing it is possible to
get the aerogel sample with isotropic NMR properties.
| cond-mat.dis-nn cond-mat.other | it was found that nmr properties of both superfluid phases of 3he in anisotropic aerogel can be described in terms of the bulk superfluid order parameters with the orbital order parameter vector fixed by anisotropy of the aerogel sample it was also shown that by a proper squeezing it is possible to get the aerogel sample with isotropic nmr properties | [['it', 'was', 'found', 'that', 'nmr', 'properties', 'of', 'both', 'superfluid', 'phases', 'of', '3he', 'in', 'anisotropic', 'aerogel', 'can', 'be', 'described', 'in', 'terms', 'of', 'the', 'bulk', 'superfluid', 'order', 'parameters', 'with', 'the', 'orbital', 'order', 'parameter', 'vector', 'fixed', 'by', 'anisotropy', 'of', 'the', 'aerogel', 'sample', 'it', 'was', 'also', 'shown', 'that', 'by', 'a', 'proper', 'squeezing', 'it', 'is', 'possible', 'to', 'get', 'the', 'aerogel', 'sample', 'with', 'isotropic', 'nmr', 'properties']] | [-0.08722576380823739, 0.30809996612370016, -0.1151854532052918, -0.03458030343948242, -0.05272597934817895, -0.08535210166592151, 0.002139844481522838, 0.3856114391004667, -0.23785466730284194, -0.30614969960103433, 0.027784409121765444, -0.2745581081137061, -0.07535060270456598, 0.17295807238357763, 0.04377921163104474, 0.0782693538814783, -0.040002110227942464, 0.03664707361410061, -0.12010208584930902, -0.293746472739925, 0.28670189407033225, 0.04704007872690757, 0.30541031196092566, -0.008541604713536799, 0.05107684534353515, -0.047035595906587936, 0.04771374687552452, 0.08328066913721462, -0.18203937820435384, 0.025262530008330942, 0.28444400858134034, -0.048635461305578546, 0.09618677757680416, -0.3594348372258537, -0.24054895360022782, 0.10659677173631886, 0.1516354633960873, 0.13220090855223438, -0.002854827092960477, -0.2843892709662517, 0.05087613247645398, -0.18961020827603836, -0.1896626039252927, -0.1779575349840646, 0.06965645455444852, 0.03311546350208421, -0.24283336841811737, 0.11931344529487736, 0.11114259390160441, 0.0475703971964928, -0.09544580060367783, -0.11515353820286692, -0.03905233154073358, 0.016510234408391018, 0.06255531680071727, 0.0945291519824726, 0.13031667680479586, -0.10325871013725797, -0.04880181212599079, 0.37844143379479644, -0.03562757318917041, -0.1666643528888623, 0.10093234951297442, -0.20416241955269168, -0.009050664585083723, 0.17705729817971588, 0.0966119802556932, 0.06532383368661006, -0.17016942749420802, 0.04169568664716886, -0.05921205931032698, 0.23983760941773652, 0.03899515668551127, 0.026671558680633704, 0.17813489520922304, 0.1734333615284413, 0.02100905797754725, 0.20031134919069396, -0.15315914284437895, -0.0049671363871311765, -0.24719406785443426, -0.18470536473517615, -0.23786333352327346, -0.0065686142498937745, -0.1140465984120965, -0.1488316023426402, 0.3732135515815268, 0.0889013058952211, 0.16061386573128403, -0.11083050165325403, 0.2431584008038044, 0.061721002543345095, 0.06764474154139559, 0.043183681244651474, 0.3345886374358088, 0.19290982159630707, 0.08343479144386948, -0.25760743227632094, 0.11471137528230126, 0.02373215329522888] |
709.3181 | A gauge invariant chiral unitary framework for kaon photo- and
electroproduction on the proton | We present a gauge invariant approach to photoproduction of mesons on
nucleons within a chiral unitary framework. The interaction kernel for
meson-baryon scattering is derived from the chiral effective Lagrangian and
iterated in a Bethe-Salpeter equation. Within the leading order approximation
to the interaction kernel, data on kaon photoproduction from SAPHIR, CLAS and
CBELSA/TAPS are analyzed in the threshold region. The importance of gauge
invariance and the precision of various approximations in the interaction
kernel utilized in earlier works are discussed.
| nucl-th hep-ph nucl-ex | we present a gauge invariant approach to photoproduction of mesons on nucleons within a chiral unitary framework the interaction kernel for mesonbaryon scattering is derived from the chiral effective lagrangian and iterated in a bethesalpeter equation within the leading order approximation to the interaction kernel data on kaon photoproduction from saphir clas and cbelsataps are analyzed in the threshold region the importance of gauge invariance and the precision of various approximations in the interaction kernel utilized in earlier works are discussed | [['we', 'present', 'a', 'gauge', 'invariant', 'approach', 'to', 'photoproduction', 'of', 'mesons', 'on', 'nucleons', 'within', 'a', 'chiral', 'unitary', 'framework', 'the', 'interaction', 'kernel', 'for', 'mesonbaryon', 'scattering', 'is', 'derived', 'from', 'the', 'chiral', 'effective', 'lagrangian', 'and', 'iterated', 'in', 'a', 'bethesalpeter', 'equation', 'within', 'the', 'leading', 'order', 'approximation', 'to', 'the', 'interaction', 'kernel', 'data', 'on', 'kaon', 'photoproduction', 'from', 'saphir', 'clas', 'and', 'cbelsataps', 'are', 'analyzed', 'in', 'the', 'threshold', 'region', 'the', 'importance', 'of', 'gauge', 'invariance', 'and', 'the', 'precision', 'of', 'various', 'approximations', 'in', 'the', 'interaction', 'kernel', 'utilized', 'in', 'earlier', 'works', 'are', 'discussed']] | [-0.08918751857852862, 0.182049884667827, -0.13896422264062697, 0.13538302800957297, -0.055754435915545915, -0.06261123027250079, 0.02068350558962535, 0.3665174476020498, -0.17094336706501098, -0.20722074218002368, -0.05491961960186377, -0.3338795861137318, -0.08925569797923535, 0.0882409976358399, 0.08893040684015881, 0.16763122943172484, 0.04747251688249777, 0.0827889489814823, -0.0491814806735442, -0.19168657605984696, 0.37173590496366404, 0.027753390222327944, 0.2401680177261616, 0.1497030793286768, 0.07209473365578617, 0.07227557148485456, -0.030500644225811148, -0.07016422210928099, -0.08165341138517783, 0.10143480149822102, 0.28252208215848507, 0.02494053600103031, 0.14753720759885547, -0.4040696004356752, -0.16913578402319993, 0.02522862856750618, 0.16539398266037028, 0.11516045013235675, -0.03849424063630494, -0.39222695688820547, 0.04549012288313221, -0.2208212217040084, -0.13585976069436673, -0.1269166574721443, -0.01721366869147729, -0.02715991604728279, -0.3196337961729754, 0.049477481988566226, -0.04324370969868736, 0.049675152407108264, -0.08330723762880136, -0.1836650071401195, 0.05026022260175029, 0.031036478599510444, 0.06297880610922513, 0.10221301488302371, 0.14012864906409825, -0.19141495079491977, -0.10266445201166251, 0.4093839871455674, -0.07236282385592521, -0.23190702396778412, 0.11458334723131064, -0.13762218773043083, -0.13428400916242858, 0.13245611959769402, 0.21145920207103094, 0.07762178470435219, -0.2230032036759327, 0.1684871198829367, -0.033604349113172956, 0.10169643735984502, 0.09773651847937777, 0.013421434863114062, 0.07537570399416174, 0.17816111831753342, -0.02887060907151964, 0.062409828417003155, -0.06581519390053955, -0.170427201292765, -0.38413515213279076, -0.047591699172317245, -0.137249800395278, 0.03690863718180975, -0.08380619837722114, -0.06924225215190723, 0.38946169920633605, 0.11758612242906734, 0.22557222129443638, 0.023228718485269282, 0.31156575502712786, 0.12294997954396186, 0.09023001702088448, 0.0668305674061915, 0.2843205680622271, 0.2316110537008003, 0.08566400336308612, -0.27793269103140006, -0.011964716264449152, 0.13054720169496664] |
709.3182 | Structure theorems for certain Gorenstein ideals | The main achievement of this paper is to provide a structure theorem for
Artinian, Gorenstein local rings with the property that the square of the
maximal ideal is generated by two elements. The moduli problem for this class
of local algebras is also discussed. Finally, upper and lower bounds for the
minimal number of generators of perfect ideals are given.
| math.AC | the main achievement of this paper is to provide a structure theorem for artinian gorenstein local rings with the property that the square of the maximal ideal is generated by two elements the moduli problem for this class of local algebras is also discussed finally upper and lower bounds for the minimal number of generators of perfect ideals are given | [['the', 'main', 'achievement', 'of', 'this', 'paper', 'is', 'to', 'provide', 'a', 'structure', 'theorem', 'for', 'artinian', 'gorenstein', 'local', 'rings', 'with', 'the', 'property', 'that', 'the', 'square', 'of', 'the', 'maximal', 'ideal', 'is', 'generated', 'by', 'two', 'elements', 'the', 'moduli', 'problem', 'for', 'this', 'class', 'of', 'local', 'algebras', 'is', 'also', 'discussed', 'finally', 'upper', 'and', 'lower', 'bounds', 'for', 'the', 'minimal', 'number', 'of', 'generators', 'of', 'perfect', 'ideals', 'are', 'given']] | [-0.16039994197587173, 0.08167340377888953, -0.028358163273272414, 0.06250722974267167, -0.055626712180674075, -0.10569979426606248, -0.04149484575221626, 0.31288199107317877, -0.3405408195530375, -0.23470589290373028, 0.15469865374810374, -0.2432463114305089, -0.11020718306535855, 0.22085498686258992, -0.10148975778138265, 0.003492619392151634, 0.030248217548554144, 0.07817804118434045, -0.07658057737086589, -0.34734121632063764, 0.39908421131161353, 0.05738582283180828, 0.25528121741178134, 0.07423865422994519, 0.0979313616019984, -0.010995796963106841, -0.014890783342222373, 0.03318831163148085, -0.20938471769974665, 0.19696372047183103, 0.27912527481094, 0.10159288210173448, 0.23533785360632464, -0.386005313290904, -0.07184163358372947, 0.21468847555503695, 0.09279638821414361, 0.05113014945139487, -0.059114924251722795, -0.17037572007005414, 0.20403304818707207, -0.17639147061854601, -0.19466602200797448, -0.011952769771839181, 0.06472821679587165, 0.040200562914833426, -0.3048692509347651, 0.03183166452557392, 0.16097906186866265, 0.14562629763531731, -0.04434104843530804, -0.09095898009448623, -0.045834326775123675, 0.07098768620441358, -0.030298781297945727, -0.056379600039993726, 0.05944396856551369, -0.13215448071714492, -0.153749938706945, 0.35257717637966074, -0.031184720966848545, -0.20713450462402155, 0.1167829337491033, -0.15196855529987563, -0.09333577833604068, 0.10044503354001791, 0.05452070697210729, 0.1194942218872408, -0.09406088407558855, 0.16476451436271114, -0.18884863631489376, 0.04558031189565857, 0.05098565409425646, 0.10996113885970166, 0.15580820475394527, 0.13504873724499097, 0.14278500725049525, 0.17977944415373107, -0.0007336243754252792, -0.010253345066060623, -0.3821966072389235, -0.1945651326638957, -0.17600929468559723, 0.05551171152231594, -0.11257663385064613, -0.17440161381964572, 0.4364502612501383, 0.1265187108811612, 0.16872014266749222, 0.1153560704862078, 0.25979504220498106, 0.06880452833138406, 0.033410359321472544, 0.0679291811073199, 0.19997706433059648, 0.21796482073841617, -0.053797773007924356, -0.13837608867324888, 0.0364368934261923, 0.20532671104107672] |
709.3183 | A fast simulator for polycrystalline processes with application to phase
change alloys | We present a stochastic simulator for polycrystalline phase-change materials
capable of spatio-temporal modelling of complex anneals. This is based on
consideration of bulk and surface energies to generate rates of growth and
decay of crystallites built up of `monomers' that themselves may be quite
complex molecules. We perform a number of simulations of this model using a
Gillespie algorithm. The simulations are performed at molecular scale and using
an approximation of local free energy changes that depend only on immediate
neighbours. The sites are on a lattice that neither correspond to the crystal
lattice nor to individual monomers, but instead gives information about a
two-state local phase $r$ (where $r=0$ corresponds to amorphous and 1
corresponds to crystalline) and a continuous crystal orientation $\phi$ at each
site.
As an example we use this to model crystallisation in chalcogenide GST
($GeSbTe$) alloys used for example in phase-change memory devices, where
reversible changes between amorphous and crystalline regimes are used to store
and process information. We use our model to simulate anneals of GST including
ones with non-trivial spatial and temporal variation of temperature; this gives
good agreement to experimental incubation times at low temperatures while
modelling non-trivial crystal size distributions and melting dynamics at higher
temperatures.
| physics.comp-ph | we present a stochastic simulator for polycrystalline phasechange materials capable of spatiotemporal modelling of complex anneals this is based on consideration of bulk and surface energies to generate rates of growth and decay of crystallites built up of monomers that themselves may be quite complex molecules we perform a number of simulations of this model using a gillespie algorithm the simulations are performed at molecular scale and using an approximation of local free energy changes that depend only on immediate neighbours the sites are on a lattice that neither correspond to the crystal lattice nor to individual monomers but instead gives information about a twostate local phase r where r0 corresponds to amorphous and 1 corresponds to crystalline and a continuous crystal orientation phi at each site as an example we use this to model crystallisation in chalcogenide gst gesbte alloys used for example in phasechange memory devices where reversible changes between amorphous and crystalline regimes are used to store and process information we use our model to simulate anneals of gst including ones with nontrivial spatial and temporal variation of temperature this gives good agreement to experimental incubation times at low temperatures while modelling nontrivial crystal size distributions and melting dynamics at higher temperatures | [['we', 'present', 'a', 'stochastic', 'simulator', 'for', 'polycrystalline', 'phasechange', 'materials', 'capable', 'of', 'spatiotemporal', 'modelling', 'of', 'complex', 'anneals', 'this', 'is', 'based', 'on', 'consideration', 'of', 'bulk', 'and', 'surface', 'energies', 'to', 'generate', 'rates', 'of', 'growth', 'and', 'decay', 'of', 'crystallites', 'built', 'up', 'of', 'monomers', 'that', 'themselves', 'may', 'be', 'quite', 'complex', 'molecules', 'we', 'perform', 'a', 'number', 'of', 'simulations', 'of', 'this', 'model', 'using', 'a', 'gillespie', 'algorithm', 'the', 'simulations', 'are', 'performed', 'at', 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709.3184 | Distribution functions of linear combinations of lattice polynomials
from the uniform distribution | We give the distribution functions, the expected values, and the moments of
linear combinations of lattice polynomials from the uniform distribution.
Linear combinations of lattice polynomials, which include weighted sums, linear
combinations of order statistics, and lattice polynomials, are actually those
continuous functions that reduce to linear functions on each simplex of the
standard triangulation of the unit cube. They are mainly used in aggregation
theory, combinatorial optimization, and game theory, where they are known as
discrete Choquet integrals and Lovasz extensions.
| math.PR math.ST stat.TH | we give the distribution functions the expected values and the moments of linear combinations of lattice polynomials from the uniform distribution linear combinations of lattice polynomials which include weighted sums linear combinations of order statistics and lattice polynomials are actually those continuous functions that reduce to linear functions on each simplex of the standard triangulation of the unit cube they are mainly used in aggregation theory combinatorial optimization and game theory where they are known as discrete choquet integrals and lovasz extensions | [['we', 'give', 'the', 'distribution', 'functions', 'the', 'expected', 'values', 'and', 'the', 'moments', 'of', 'linear', 'combinations', 'of', 'lattice', 'polynomials', 'from', 'the', 'uniform', 'distribution', 'linear', 'combinations', 'of', 'lattice', 'polynomials', 'which', 'include', 'weighted', 'sums', 'linear', 'combinations', 'of', 'order', 'statistics', 'and', 'lattice', 'polynomials', 'are', 'actually', 'those', 'continuous', 'functions', 'that', 'reduce', 'to', 'linear', 'functions', 'on', 'each', 'simplex', 'of', 'the', 'standard', 'triangulation', 'of', 'the', 'unit', 'cube', 'they', 'are', 'mainly', 'used', 'in', 'aggregation', 'theory', 'combinatorial', 'optimization', 'and', 'game', 'theory', 'where', 'they', 'are', 'known', 'as', 'discrete', 'choquet', 'integrals', 'and', 'lovasz', 'extensions']] | [-0.09579191938406084, 0.10529953948926271, -0.08476453263698737, 0.10524070969919061, -0.08317762425328355, -0.09733140859298589, 0.04277913431671062, 0.3498969104300003, -0.38625441382570963, -0.21367030526318292, 0.14335093270595436, -0.3179593505110683, -0.1607277175275291, 0.141593562816724, -0.05297699203805589, 0.11927073439402171, 0.0012902322611430797, 0.009199454880705693, -0.10383185656965219, -0.3536205835322418, 0.285670982401182, -0.0015547976647390098, 0.20888186016733326, -0.008092999356094657, 0.08670857446495353, 0.0748871322607667, -0.04130370037562055, 0.0017148105146522383, -0.131593903552662, 0.13919510058604362, 0.2510736143988807, 0.12422046696812641, 0.21998104291809042, -0.42512768611493634, -0.15087340971477692, 0.14657759692707303, 0.10967841905700725, 0.024839825012505326, 0.04544859678660542, -0.20447331962243812, 0.030210341730086906, -0.11644052556238887, -0.09386498688879173, -0.10676798414404891, -0.015792972810009902, 0.16606734122615308, -0.32837046310305595, 0.042792546880863064, 0.04669182347247332, 0.10685938719955342, -0.04460519156418741, -0.23801773381078753, -0.018548948786834756, 0.06811339166810418, -0.0038702248754661256, 0.021205229786928834, 0.0928715202310009, -0.09092747025183266, -0.18321933784726552, 0.40236321097330713, -0.010697468103011844, -0.3142856107797565, 0.14049983495369373, -0.19863859491377342, -0.14693449652276752, 0.09476900882110363, 0.17392682804294476, 0.152037278908055, -0.090795815445301, 0.11076597896370492, -0.12382625315974398, 0.09751171745905061, 0.10457839765131655, 0.081909036738003, 0.16160443506101374, -0.02013806450157994, 0.11296633015409475, 0.1811677237359307, 0.018807521051579585, -0.19188819179402256, -0.3349292355294271, -0.08122681893362868, -0.2141702262820994, 0.009846690065431886, -0.17900201888320535, -0.24424202885569596, 0.36792983898393267, 0.04146539849206442, 0.1612878211024331, 0.14642220677768175, 0.19465122208362673, 0.17424524085533738, 0.09768264997954958, 0.018189604249328556, 0.10570135073191146, 0.20090411679546644, 0.017074876615391452, -0.14305450287704333, 0.04872484126968718, 0.18225355520163003] |
709.3185 | 3-Generator Groups whose Elements Commute with Their Endomorphic Images
Are Abelian | A group in which every element commutes with its endomorphic images is called
an $E$-group.
Our main result is that all 3-generator $E$-groups are abelian. It follows
that the minimal number of generators of a finitely generated non-abelian
$E$-group is four.
| math.GR math.RA | a group in which every element commutes with its endomorphic images is called an egroup our main result is that all 3generator egroups are abelian it follows that the minimal number of generators of a finitely generated nonabelian egroup is four | [['a', 'group', 'in', 'which', 'every', 'element', 'commutes', 'with', 'its', 'endomorphic', 'images', 'is', 'called', 'an', 'egroup', 'our', 'main', 'result', 'is', 'that', 'all', '3generator', 'egroups', 'are', 'abelian', 'it', 'follows', 'that', 'the', 'minimal', 'number', 'of', 'generators', 'of', 'a', 'finitely', 'generated', 'nonabelian', 'egroup', 'is', 'four']] | [-0.1860206456309775, 0.19953585033647137, -0.0931697743604096, 0.014753814579396531, -0.09075924357762788, -0.11833746246312087, -0.09108908452865917, 0.37608840394901427, -0.28828403589929025, -0.1962330953967644, 0.11911960008338367, -0.30927888090472394, -0.13870026218909315, 0.24268604678715147, -0.15960586691138948, -0.08446006233968613, 0.07517224234506124, 0.15172002178321525, 0.00930856729903054, -0.2920492803905068, 0.3250122828091063, -0.06714192037357063, 0.23014491008844498, -0.00436901111473761, 0.16612206786734665, -0.01991946592063802, -0.029789120592063338, 0.01386245945468545, -0.024814647953551285, 0.06478643426444472, 0.2662952535944741, 0.10653452428693815, 0.21018327997497668, -0.29731882046326064, -0.13612712576712777, 0.20032218182686626, 0.0753279795256875, 0.03725091339282056, -0.10260110083831156, -0.21291016560138726, 0.21865935041569173, -0.22707958885173246, -0.1297748325301743, -0.02417745034596542, 0.09800639602344302, -0.026979417880860772, -0.27769066943082865, -0.04458281854394733, 0.13214462975085509, 0.07751801205662692, 0.005596406567591901, -0.061574144572837324, -0.12930607997312596, 0.13027184580384596, 0.019475480365544195, 0.07382522730111349, 0.0720126292790377, -0.05621955128068604, -0.14783234941977552, 0.4097654170742849, -0.03591765078329822, -0.19405013268313756, 0.144415208277656, -0.11208804926221691, -0.19023804258691465, 0.1717883118814448, -0.032235818483480595, 0.1445341346978505, -0.06681500675111282, 0.21043420757916642, -0.2432073675459478, 0.15004062993315662, 0.009773675817996264, -0.03678375123659285, 0.09126494216119371, 0.11346162479688846, 0.08954855068246038, 0.10849702469550254, 0.0368028123204301, 0.014888076815845036, -0.41372651843036096, -0.20346829897110782, -0.20488136257442488, 0.07944264537768393, -0.07809145156316823, -0.19077019225351693, 0.41893506413552817, 0.12605781751548553, 0.1257418631008122, 0.10124858566730215, 0.2425430759605838, 0.07385856684626693, 0.11579770979857663, 0.09704230622411138, 0.07227488063139523, 0.16410419985470248, -0.12589843989145466, -0.1584835158683723, -0.03681717201976514, 0.19782767924139413] |
709.3186 | A Semismooth Newton Method for Tikhonov Functionals with Sparsity
Constraints | Minimization problems in $\ell^2$ for Tikhonov functionals with sparsity
constraints are considered. Sparsity of the solution is ensured by a weighted
$\ell^1$ penalty term. The necessary and sufficient condition for optimality is
shown to be slantly differentiable (Newton differentiable), hence a semismooth
Newton method is applicable. Local superlinear convergence of this method is
proved. Numerical examples are provided which show that our method compares
favorably with existing approaches.
| math.OC math.NA | minimization problems in ell2 for tikhonov functionals with sparsity constraints are considered sparsity of the solution is ensured by a weighted ell1 penalty term the necessary and sufficient condition for optimality is shown to be slantly differentiable newton differentiable hence a semismooth newton method is applicable local superlinear convergence of this method is proved numerical examples are provided which show that our method compares favorably with existing approaches | [['minimization', 'problems', 'in', 'ell2', 'for', 'tikhonov', 'functionals', 'with', 'sparsity', 'constraints', 'are', 'considered', 'sparsity', 'of', 'the', 'solution', 'is', 'ensured', 'by', 'a', 'weighted', 'ell1', 'penalty', 'term', 'the', 'necessary', 'and', 'sufficient', 'condition', 'for', 'optimality', 'is', 'shown', 'to', 'be', 'slantly', 'differentiable', 'newton', 'differentiable', 'hence', 'a', 'semismooth', 'newton', 'method', 'is', 'applicable', 'local', 'superlinear', 'convergence', 'of', 'this', 'method', 'is', 'proved', 'numerical', 'examples', 'are', 'provided', 'which', 'show', 'that', 'our', 'method', 'compares', 'favorably', 'with', 'existing', 'approaches']] | [-0.09388424207129752, -0.045942831256273964, -0.09458887335191023, 0.12940126282003112, -0.1261693926444694, -0.2260943721952056, -0.04901523769610742, 0.4072440109813391, -0.3255369146006988, -0.24093551558456314, 0.16685031885246454, -0.2187375017101251, -0.20757946504085367, 0.2003504784722159, -0.1706842363103112, 0.1457991432120551, 0.12120693345178864, 0.013545037205539533, -0.13100262224993933, -0.3767676282562871, 0.2670320158462916, 0.012537043131609906, 0.25113530388908156, 0.05392558938726338, 0.1394964046498288, -0.07665232650991251, -0.009698492846688006, 0.0643687551813339, -0.1188416405023404, 0.11168049178572732, 0.28542054330568706, 0.15395394490281147, 0.4030908491295665, -0.36645276766659607, -0.1973162258822304, 0.10697052777925534, 0.1006934625833337, 0.023648898469965294, -0.03842086439827151, -0.24390167826369627, 0.15072343975944974, -0.07499699130543132, -0.09346605665675962, -0.21388562614751508, -0.10075328077551034, 0.12320129513573735, -0.4538116729992039, 0.13116933231645111, 0.04991437849213383, 0.0006277657100068989, -0.12284698207348363, -0.14327126304938723, 0.02536999630574971, -0.0436460667519149, 0.11474897084173871, 0.06181272994309886, 0.06024880288168788, -0.018844092629655307, -0.06989180145145797, 0.3332555862560646, -0.03355519037082124, -0.2964583779094435, 0.1755155262384397, -0.025215878422413743, -0.13024453931738303, 0.1455065707064498, 0.09570355390879645, 0.20096868309956878, -0.14792457530135983, 0.16560696574786343, -0.03252860383867328, 0.13801304161993425, 0.0612440886142761, -0.009883771045828488, 0.006799529827853192, 0.15908556332839513, 0.2816299562856777, 0.12618919759259017, -0.003813631095881782, -0.07765747854180301, -0.3436635544718201, -0.07330585870224593, -0.2831855288414813, -0.057850261754008814, -0.12357337716528138, -0.14803161921193336, 0.3127350843330817, 0.1042098329305204, 0.129750864719277, 0.16950500677443986, 0.3431727888424005, 0.1719388528005915, 0.06130877839151158, 0.12169372949248819, 0.2334368966047221, 0.14179906173984505, 0.048848188245919216, -0.2304768366044137, 0.0608254958243012, 0.2007882395105909] |
709.3187 | Self-Compression and Controllable Guidance of Multi-Millijoule
Femtosecond Laser Pulses | Self-compression of multi-millijoule femtosecond laser pulses and dramatic
increase of the peak intensity are found in pressurized helium and neon within
a range of intensity in which the ionization modification of the material
parameters by the pulse is negligible. The pulse propagation is studied by the
(3+1)-dimensional nonlinear Schroedinger equation including basic lowest order
optical processes -- diffraction, group velocity dispersion of second order,
and Kerr nonlinearity of third order. Smooth and well controllable pulse
propagation dynamics is found. Constructing of compressed pulse of controllable
parameters at given space target point can be achieved by a proper chose of the
pulse energy and/or gas pressure.
| physics.optics physics.comp-ph | selfcompression of multimillijoule femtosecond laser pulses and dramatic increase of the peak intensity are found in pressurized helium and neon within a range of intensity in which the ionization modification of the material parameters by the pulse is negligible the pulse propagation is studied by the 31dimensional nonlinear schroedinger equation including basic lowest order optical processes diffraction group velocity dispersion of second order and kerr nonlinearity of third order smooth and well controllable pulse propagation dynamics is found constructing of compressed pulse of controllable parameters at given space target point can be achieved by a proper chose of the pulse energy andor gas pressure | [['selfcompression', 'of', 'multimillijoule', 'femtosecond', 'laser', 'pulses', 'and', 'dramatic', 'increase', 'of', 'the', 'peak', 'intensity', 'are', 'found', 'in', 'pressurized', 'helium', 'and', 'neon', 'within', 'a', 'range', 'of', 'intensity', 'in', 'which', 'the', 'ionization', 'modification', 'of', 'the', 'material', 'parameters', 'by', 'the', 'pulse', 'is', 'negligible', 'the', 'pulse', 'propagation', 'is', 'studied', 'by', 'the', '31dimensional', 'nonlinear', 'schroedinger', 'equation', 'including', 'basic', 'lowest', 'order', 'optical', 'processes', 'diffraction', 'group', 'velocity', 'dispersion', 'of', 'second', 'order', 'and', 'kerr', 'nonlinearity', 'of', 'third', 'order', 'smooth', 'and', 'well', 'controllable', 'pulse', 'propagation', 'dynamics', 'is', 'found', 'constructing', 'of', 'compressed', 'pulse', 'of', 'controllable', 'parameters', 'at', 'given', 'space', 'target', 'point', 'can', 'be', 'achieved', 'by', 'a', 'proper', 'chose', 'of', 'the', 'pulse', 'energy', 'andor', 'gas', 'pressure']] | [-0.12566667912100316, 0.20502366920733878, -0.04447508068719449, 0.0032827291966336467, -0.029791089795673124, -0.10548976664610493, 0.0043760711201824825, 0.46588587364665446, -0.2689871140397512, -0.3177616449180417, 0.03396263189586954, -0.24700980601483025, -0.028178762107227858, 0.21305636268180722, 0.0049564288906717244, 0.08599481405690312, 0.01275739550160674, -0.0020944617258814666, -0.06156606074476328, -0.1731440270008394, 0.29155759963815886, 0.082120754603798, 0.2651000232167112, 0.022706834550123088, 0.13617673771939456, -0.01707160867534605, 0.014976625729244776, -0.03923643589531331, -0.10143470384467107, 0.04328193258529959, 0.22288719013942263, -0.010963420343334572, 0.24295451659530115, -0.4271352270600171, -0.30258287279083074, 0.02071866211302292, 0.12950783091722629, 0.12789938616753296, -0.07679351591258847, -0.2820595940754104, -0.00020483234682335303, -0.13977770844044593, -0.18276754755956623, -0.021883598698947865, 0.031738704057016336, 0.12094174393076593, -0.24374048202298582, 0.09353096370334522, 0.036289356672428906, 0.02599093528092803, -0.042636774122141875, -0.01598147961955804, -0.07796105408655982, 0.018440214317077055, 0.0067372111986444974, 0.059608101652254566, 0.17663032830639097, -0.13322106062416703, -0.028050105109846648, 0.43194703132702184, -0.10685675993646818, -0.05518725295909322, 0.08592779717694682, -0.19992117432579667, 0.004855134819920819, 0.2382656429321147, 0.1686842269510425, 0.11790365058158596, -0.12769486993336335, 0.017125290690903336, 0.03862881152487647, 0.25245275808853107, 0.18859279546841906, 0.05467126050140136, 0.1635720117886264, 0.19062153619821542, 0.02457854334856025, 0.12169760478047045, -0.11695611788533054, -0.03660480303761478, -0.29912008679149527, -0.0875780599621626, -0.15650972530532342, 0.03856428529923925, -0.0921921707961771, -0.11622778725667068, 0.43469675595854196, 0.07534225516092892, 0.11667309366300917, -0.0704672266986633, 0.293571940354573, 0.2187053375572969, -0.00013169515519761122, 0.03201753110981652, 0.27524467956167287, 0.17985992324135552, 0.09377422100918081, -0.2805945061758953, 0.052436170392096616, 0.009533828124403954] |
709.3188 | Spin polarization phenomena in dense nuclear matter | Spin polarized states in nuclear matter with an effective nucleon-nucleon
interaction are studied for a wide range of isospin asymmetries and densities.
Based on a Fermi liquid theory, it is shown that there are a few possible
scenarios of spin ordered phase transitions: (a) nuclear matter undergoes at
some critical density a phase transition to a spin polarized state with the
oppositely directed spins of neutrons and protons (Skyrme SLy4 and Gogny D1S
interactions); (b) at some critical density, a spin polarized state with the
like-directed neutron and proton spins appears (Skyrme SkI5 interaction); (c)
nuclear matter under increasing density, at first, undergoes a phase transition
to the state with the opposite directions of neutron and proton spins, which
goes over at larger density to the state with the same direction of nucleon
spins (Skyrme SkI3 interaction).
| nucl-th astro-ph hep-ph | spin polarized states in nuclear matter with an effective nucleonnucleon interaction are studied for a wide range of isospin asymmetries and densities based on a fermi liquid theory it is shown that there are a few possible scenarios of spin ordered phase transitions a nuclear matter undergoes at some critical density a phase transition to a spin polarized state with the oppositely directed spins of neutrons and protons skyrme sly4 and gogny d1s interactions b at some critical density a spin polarized state with the likedirected neutron and proton spins appears skyrme ski5 interaction c nuclear matter under increasing density at first undergoes a phase transition to the state with the opposite directions of neutron and proton spins which goes over at larger density to the state with the same direction of nucleon spins skyrme ski3 interaction | [['spin', 'polarized', 'states', 'in', 'nuclear', 'matter', 'with', 'an', 'effective', 'nucleonnucleon', 'interaction', 'are', 'studied', 'for', 'a', 'wide', 'range', 'of', 'isospin', 'asymmetries', 'and', 'densities', 'based', 'on', 'a', 'fermi', 'liquid', 'theory', 'it', 'is', 'shown', 'that', 'there', 'are', 'a', 'few', 'possible', 'scenarios', 'of', 'spin', 'ordered', 'phase', 'transitions', 'a', 'nuclear', 'matter', 'undergoes', 'at', 'some', 'critical', 'density', 'a', 'phase', 'transition', 'to', 'a', 'spin', 'polarized', 'state', 'with', 'the', 'oppositely', 'directed', 'spins', 'of', 'neutrons', 'and', 'protons', 'skyrme', 'sly4', 'and', 'gogny', 'd1s', 'interactions', 'b', 'at', 'some', 'critical', 'density', 'a', 'spin', 'polarized', 'state', 'with', 'the', 'likedirected', 'neutron', 'and', 'proton', 'spins', 'appears', 'skyrme', 'ski5', 'interaction', 'c', 'nuclear', 'matter', 'under', 'increasing', 'density', 'at', 'first', 'undergoes', 'a', 'phase', 'transition', 'to', 'the', 'state', 'with', 'the', 'opposite', 'directions', 'of', 'neutron', 'and', 'proton', 'spins', 'which', 'goes', 'over', 'at', 'larger', 'density', 'to', 'the', 'state', 'with', 'the', 'same', 'direction', 'of', 'nucleon', 'spins', 'skyrme', 'ski3', 'interaction']] | [-0.12724558943451417, 0.3364396816991589, -0.09244411165731166, 0.07388797077195099, 0.004436895196084623, -0.13260227233706112, 0.019539777026511728, 0.3719910653790942, -0.18887703967867076, -0.27801528137039255, -0.06885078666059094, -0.36251150611788036, 0.044781874230614416, 0.07497477153730062, 0.15274215230235347, -0.0012409388605091308, -0.026606716281148017, 0.08989708211134981, -0.17163865324325375, -0.14480141269008595, 0.3327055105624755, 0.0007676331912753758, 0.24582373942076055, 0.1127902070038814, 0.10878818337072584, 0.05100567279226164, 0.1254792918968532, -0.006719941156053985, -0.11989424747821263, 0.02518210686803623, 0.28554070421830857, -0.05617417665327796, 0.13365405501314886, -0.466872090673833, -0.22344312287729096, 0.10370540730655194, 0.08527058450574124, 0.1835226120315147, -0.07650540676054166, -0.31668607859648074, -0.024492618310506697, -0.28122063095646876, -0.1545611645060557, -0.10960032619434598, 0.07479766107302296, 0.06283696332441953, -0.2612776656531625, 0.0976284585882375, -0.009601256610066802, 0.006737682547558237, -0.11238933760603821, -0.20513898137853379, -0.05935596190392971, 0.01108989524482577, 0.11316980684900449, 0.17161388169991335, 0.20895930965672488, -0.17939012005787205, -0.07350806055107602, 0.3480158275752156, -0.02517537411595522, -0.11122333905487149, 0.16987709872321122, -0.18998381442355888, -0.12561333250185405, 0.1899723792310666, 0.13513512000165603, 0.10717049451648361, -0.09991665180358622, 0.052895511712240814, -0.00323848447383002, 0.21626944140772578, 0.04005485043205597, 0.008048505610268977, 0.2721977620902989, 0.19681902788579464, 0.08045769460085365, 0.07302044473450493, -0.16454795618127618, -0.14447222534196313, -0.2763254353845561, -0.0547394961187685, -0.18822479177335347, 0.040841071697434894, -0.057620320227148046, -0.10335881501431922, 0.39692958672013545, 0.042798779290859346, 0.15188384249254508, -0.05235483037842507, 0.24576227942964546, 0.06299731433736505, 0.04679930098656634, 0.062243229274948436, 0.27427455478873863, 0.2679130702176028, 0.08643721913211737, -0.29009442632776444, 0.023076185256380725, 0.006630150697849415] |
709.3189 | The necessity of dark matter in MOND within galactic scales | To further test MOdified Newtonian Dynamics (MOND) on galactic scales --
originally proposed to explain the rotation curves of disk galaxies without
dark matter -- we study a sample of six strong gravitational lensing early-type
galaxies from the CASTLES database. To determine whether dark matter is present
in these galaxies, we compare the total mass (from lensing) with the stellar
mass content (from a comparison of photometry and stellar population
synthesis). We find that strong gravitational lensing on galactic scales
requires a significant amount of dark matter, even within MOND. On such scales
a 2 eV neutrino cannot explain this excess matter -- in contrast with recent
claims to explain the lensing data of the bullet cluster. The presence of dark
matter is detected in regions with a higher acceleration than the
characteristic MONDian scale of $\sim 10^{-10}$m/s$^2$. This is a serious
challenge to MOND unless the proper treatment of lensing is qualitatively
different (possibly to be developed within a consistent theory such as TeVeS).
| astro-ph gr-qc hep-ph hep-th | to further test modified newtonian dynamics mond on galactic scales originally proposed to explain the rotation curves of disk galaxies without dark matter we study a sample of six strong gravitational lensing earlytype galaxies from the castles database to determine whether dark matter is present in these galaxies we compare the total mass from lensing with the stellar mass content from a comparison of photometry and stellar population synthesis we find that strong gravitational lensing on galactic scales requires a significant amount of dark matter even within mond on such scales a 2 ev neutrino cannot explain this excess matter in contrast with recent claims to explain the lensing data of the bullet cluster the presence of dark matter is detected in regions with a higher acceleration than the characteristic mondian scale of sim 1010ms2 this is a serious challenge to mond unless the proper treatment of lensing is qualitatively different possibly to be developed within a consistent theory such as teves | [['to', 'further', 'test', 'modified', 'newtonian', 'dynamics', 'mond', 'on', 'galactic', 'scales', 'originally', 'proposed', 'to', 'explain', 'the', 'rotation', 'curves', 'of', 'disk', 'galaxies', 'without', 'dark', 'matter', 'we', 'study', 'a', 'sample', 'of', 'six', 'strong', 'gravitational', 'lensing', 'earlytype', 'galaxies', 'from', 'the', 'castles', 'database', 'to', 'determine', 'whether', 'dark', 'matter', 'is', 'present', 'in', 'these', 'galaxies', 'we', 'compare', 'the', 'total', 'mass', 'from', 'lensing', 'with', 'the', 'stellar', 'mass', 'content', 'from', 'a', 'comparison', 'of', 'photometry', 'and', 'stellar', 'population', 'synthesis', 'we', 'find', 'that', 'strong', 'gravitational', 'lensing', 'on', 'galactic', 'scales', 'requires', 'a', 'significant', 'amount', 'of', 'dark', 'matter', 'even', 'within', 'mond', 'on', 'such', 'scales', 'a', '2', 'ev', 'neutrino', 'can', 'not', 'explain', 'this', 'excess', 'matter', 'in', 'contrast', 'with', 'recent', 'claims', 'to', 'explain', 'the', 'lensing', 'data', 'of', 'the', 'bullet', 'cluster', 'the', 'presence', 'of', 'dark', 'matter', 'is', 'detected', 'in', 'regions', 'with', 'a', 'higher', 'acceleration', 'than', 'the', 'characteristic', 'mondian', 'scale', 'of', 'sim', '1010ms2', 'this', 'is', 'a', 'serious', 'challenge', 'to', 'mond', 'unless', 'the', 'proper', 'treatment', 'of', 'lensing', 'is', 'qualitatively', 'different', 'possibly', 'to', 'be', 'developed', 'within', 'a', 'consistent', 'theory', 'such', 'as', 'teves']] | [-0.07562054422444041, 0.08388123357314274, -0.13737138841969698, 0.17693644344800957, -0.13122272204059215, -0.05836742927971656, -0.02549588423368001, 0.33438742716162484, -0.1808751756639614, -0.3967060351664303, -0.005266039940082908, -0.25933328302337166, -0.03999810609852244, 0.19528369359569225, -0.040597412132435236, -0.007561080192038618, 0.009369348844319033, -0.04214747746237925, -0.034993718012573165, -0.28635233778797914, 0.32563574763551995, 0.07203374531668572, 0.15466964086574828, -0.026331848504901664, 0.08709439901603626, -0.089754593658241, -0.08347588627844867, 0.031313449367195184, -0.14812680354587016, 0.02274026753426604, 0.20066255743563907, 0.1330094392342847, 0.2183290236355291, -0.38775955901624587, -0.2458634514624447, 0.14401320852282132, 0.16501302967716489, 0.1287567102467424, -0.12095499568082467, -0.3037707996468968, 0.0904488866624531, -0.19927924528055213, -0.1422732521014208, 0.014063532358503963, 0.010287724103938583, 0.01619915989444711, -0.20021825841702293, 0.17692586578367323, -0.01095512132388911, 0.025409202811313918, -0.09795910334271704, -0.06712769330450637, -0.003926554486224074, 0.0015437839455628322, 0.0963926593804492, 0.08160752276290048, 0.20771518844019826, -0.19250899107064023, -0.02176449825005903, 0.4761295536978662, -0.1110806163630564, -0.05597206246267798, 0.2097663398249292, -0.21340520085161266, -0.19070584544386326, 0.07986342470430158, 0.178706949075364, 0.059931254691438625, -0.15178978172890797, 0.0731718699484235, -0.046478707070513825, 0.26190365195571463, 0.06005440655548663, 0.014303006303205263, 0.3704047479861033, 0.14099435761936605, 0.07205939574875624, 0.011510091708070295, -0.17992687072930572, -0.03955178559283538, -0.27146321541966834, -0.08359204030822837, -0.14411687693827174, 0.08301583107461241, -0.12670217056469807, -0.12033512089344348, 0.33142138751040845, 0.13701967885032112, 0.19812692737241097, 0.09569780415343977, 0.3292300898118939, 0.038824415023644324, 0.1041658937051161, 0.06882127009309326, 0.35331437899016893, 0.14840537179947083, 0.0465533653869825, -0.26231059492165737, 0.016598459925256853, -0.02925104339767042] |
709.319 | Uniform Convergence of the Spectral Expansion for a Differential
Operator with Periodic Matrix Coefficients | In this paper, we obtain asymptotic formulas for eigenvalues and
eigenfunctions of the operator generated by a system of ordinary differential
equations with summable coefficients and the quasiperiodic boundary conditions.
Using these asymptotic formulas, we find conditions on the coefficients for
which the root functions of this operator form a Riesz basis. Then we obtain
the uniformly convergent spectral expansion of the differential operators with
the periodic matrix coefficients
| math.SP | in this paper we obtain asymptotic formulas for eigenvalues and eigenfunctions of the operator generated by a system of ordinary differential equations with summable coefficients and the quasiperiodic boundary conditions using these asymptotic formulas we find conditions on the coefficients for which the root functions of this operator form a riesz basis then we obtain the uniformly convergent spectral expansion of the differential operators with the periodic matrix coefficients | [['in', 'this', 'paper', 'we', 'obtain', 'asymptotic', 'formulas', 'for', 'eigenvalues', 'and', 'eigenfunctions', 'of', 'the', 'operator', 'generated', 'by', 'a', 'system', 'of', 'ordinary', 'differential', 'equations', 'with', 'summable', 'coefficients', 'and', 'the', 'quasiperiodic', 'boundary', 'conditions', 'using', 'these', 'asymptotic', 'formulas', 'we', 'find', 'conditions', 'on', 'the', 'coefficients', 'for', 'which', 'the', 'root', 'functions', 'of', 'this', 'operator', 'form', 'a', 'riesz', 'basis', 'then', 'we', 'obtain', 'the', 'uniformly', 'convergent', 'spectral', 'expansion', 'of', 'the', 'differential', 'operators', 'with', 'the', 'periodic', 'matrix', 'coefficients']] | [-0.1484628188815238, 0.0798142021117003, -0.11103834165935067, 0.041291383361659835, -0.06669884304300058, -0.06621917159013126, -0.002662781187741464, 0.3092370163379372, -0.29030070707633876, -0.14704981091283803, 0.15944630958214132, -0.2978074120600586, -0.18827475197410778, 0.18214018637503404, -0.02250789868286001, 0.13366774170645984, 0.10539153435240513, 0.08959792400170388, -0.1484454570648571, -0.20923627297515454, 0.3887808658587544, -0.02816478171102379, 0.16890656321471476, 0.015492568649621546, 0.1497107542835284, -0.02895822475556338, -0.03822536907577212, -0.06066003390520379, -0.1896094542901045, 0.1502980367935168, 0.2430119803411535, 0.02165063460478964, 0.23064937223882778, -0.44391653006491455, -0.10445083864033222, 0.137864813255821, 0.14523801397856162, 0.024058624243269256, -0.012739943672794903, -0.2709110353101531, 0.1058570998383389, -0.1535236608992884, -0.22746873129348177, -0.11563870481188422, 0.020667062728139368, 0.11271003846996937, -0.4003134236495564, 0.11565041751938238, 0.09378033256887094, 0.08261194974993882, -0.12962787741444248, -0.11492261751318701, 0.01104027499863203, 0.07316091957677534, 0.02300229969272471, -0.10409600098711858, 0.01814207736996637, -0.06763739456706074, -0.0570712267232222, 0.2947225213671724, -0.1251016039016616, -0.31427096162477264, 0.0771837942302227, -0.2265475475013364, -0.09938199318729449, 0.0659991542444281, 0.14857046545037758, 0.18190577966363533, -0.1706762512254974, 0.15612235592266518, -0.05487987494764283, 0.11697053536772728, 0.12341813809251871, 0.05096415832530761, 0.07960554744130459, -0.013345445330808128, 0.09778208994185147, 0.16352557045394095, 0.04412018189854596, -0.07705013513349104, -0.35324728618497436, -0.15187110025705636, -0.1614649638371623, 0.06606449624118597, -0.1725434549958479, -0.28390530737089936, 0.44263232697435806, 0.10080333411747562, 0.21829321841452864, 0.10188682867463786, 0.22397904356509662, 0.3236401753122176, 0.03033422227220043, 0.057124352946445564, 0.12371772978508817, 0.1884805191632198, 0.10576242395420221, -0.22429402135447532, 0.00928825911630512, 0.2393620952396937] |
709.3191 | Some epistemic questions of cosmology | We discuss a number of fundamental aspects of modern cosmological concepts,
from the phenomenological, observational, theoretical and epistemic points of
view. We argue that the modern cosmology, despite a great advent, in particular
in the observational sector, is yet to solve important problems, posed already
by the classical times. In particular the stress is put on discerning the
scientific features of modern cosmological paradigms from the more speculative
ones, with the latter immersed in some aspects deeply into mythological world
picture. We finally discuss the principal paradigms, which are present in the
modern cosmological studies and evaluate their epistemic merits.
KEY WORDS: cosmology, epistemology, methodology, mythology, philosophy of
science
| physics.hist-ph physics.gen-ph | we discuss a number of fundamental aspects of modern cosmological concepts from the phenomenological observational theoretical and epistemic points of view we argue that the modern cosmology despite a great advent in particular in the observational sector is yet to solve important problems posed already by the classical times in particular the stress is put on discerning the scientific features of modern cosmological paradigms from the more speculative ones with the latter immersed in some aspects deeply into mythological world picture we finally discuss the principal paradigms which are present in the modern cosmological studies and evaluate their epistemic merits key words cosmology epistemology methodology mythology philosophy of science | [['we', 'discuss', 'a', 'number', 'of', 'fundamental', 'aspects', 'of', 'modern', 'cosmological', 'concepts', 'from', 'the', 'phenomenological', 'observational', 'theoretical', 'and', 'epistemic', 'points', 'of', 'view', 'we', 'argue', 'that', 'the', 'modern', 'cosmology', 'despite', 'a', 'great', 'advent', 'in', 'particular', 'in', 'the', 'observational', 'sector', 'is', 'yet', 'to', 'solve', 'important', 'problems', 'posed', 'already', 'by', 'the', 'classical', 'times', 'in', 'particular', 'the', 'stress', 'is', 'put', 'on', 'discerning', 'the', 'scientific', 'features', 'of', 'modern', 'cosmological', 'paradigms', 'from', 'the', 'more', 'speculative', 'ones', 'with', 'the', 'latter', 'immersed', 'in', 'some', 'aspects', 'deeply', 'into', 'mythological', 'world', 'picture', 'we', 'finally', 'discuss', 'the', 'principal', 'paradigms', 'which', 'are', 'present', 'in', 'the', 'modern', 'cosmological', 'studies', 'and', 'evaluate', 'their', 'epistemic', 'merits', 'key', 'words', 'cosmology', 'epistemology', 'methodology', 'mythology', 'philosophy', 'of', 'science']] | [-0.08269597746222493, 0.06421699748297624, -0.11139189827879635, 0.12362947262644153, -0.1301109444589243, -0.10940306372684214, -0.009159275140493698, 0.31047325081473914, -0.26313329816992403, -0.31087917827257733, 0.11736828441103629, -0.25949224086324557, -0.16654732349593568, 0.22142861166663486, -0.12019325244462613, 0.018251257589719166, 0.0643145292463345, -0.0022565818502815493, -0.03558547323817438, -0.2620974383701425, 0.3449338263738046, 0.05329074805448635, 0.274164762712135, 0.04291378351573516, 0.05446976797394625, -0.03531588964300965, -0.10674106678605046, 0.02862282146896244, -0.15752668787092194, 0.14943515287643863, 0.31214055063527657, 0.2397100441912782, 0.34716186927067577, -0.4796573546706536, -0.254121798906612, 0.08062961037108383, 0.10741436371682297, 0.12048397950054822, -0.05203527402212318, -0.294897677855344, -0.002398414947434303, -0.14295164604645666, -0.13791078210748528, -0.058682535202541485, 0.02714893831059747, -0.04255203821978301, -0.08803012081712416, 0.03870336076676196, 0.015294846370250175, 0.0537976616942281, -0.036050011207341054, -0.15642460281618897, 0.07797774250422596, 0.09222993844641594, 0.10908670590148059, 0.011457067452917953, 0.12154704576717057, -0.19681836733611358, -0.1701422009463294, 0.4519435610246221, 0.0271986575018606, -0.13261281976202896, 0.18592313193041113, -0.1317894745301968, -0.22598594663357105, -0.03827185234014338, 0.15277112232640797, 0.02702601829441179, -0.13651483879347734, 0.14263372392865717, -0.013958070358825386, 0.14950999686784974, 0.0134267564563918, 0.05798126849849973, 0.32054497723664166, 0.20958858535736116, -0.03994276230020551, 0.0581251707882834, -0.020135054482283806, -0.17717995608669765, -0.3153648361512417, -0.1351034815990315, -0.10564729233844838, 0.03587856066280788, -0.09746109889024536, -0.14180523911469675, 0.3735127962715582, 0.2359406928795629, 0.13285873418058688, 0.005710538772549993, 0.3540207419988759, 0.008668974738294652, 0.03137518910727455, 0.040461646948317324, 0.2731062971590057, 0.12552076545031315, 0.1325823955895772, -0.14350160535578743, 0.05131989795663351, 0.015421662095148083] |
709.3192 | A quantile-copula approach to conditional density estimation | We present a new non-parametric estimator of the conditional density of the
kernel type. It is based on an efficient transformation of the data by quantile
transform. By use of the copula representation, it turns out to have a
remarkable product form. We study its asymptotic properties and compare its
bias and variance to competitors based on nonparametric regression.
| stat.ME math.ST stat.TH | we present a new nonparametric estimator of the conditional density of the kernel type it is based on an efficient transformation of the data by quantile transform by use of the copula representation it turns out to have a remarkable product form we study its asymptotic properties and compare its bias and variance to competitors based on nonparametric regression | [['we', 'present', 'a', 'new', 'nonparametric', 'estimator', 'of', 'the', 'conditional', 'density', 'of', 'the', 'kernel', 'type', 'it', 'is', 'based', 'on', 'an', 'efficient', 'transformation', 'of', 'the', 'data', 'by', 'quantile', 'transform', 'by', 'use', 'of', 'the', 'copula', 'representation', 'it', 'turns', 'out', 'to', 'have', 'a', 'remarkable', 'product', 'form', 'we', 'study', 'its', 'asymptotic', 'properties', 'and', 'compare', 'its', 'bias', 'and', 'variance', 'to', 'competitors', 'based', 'on', 'nonparametric', 'regression']] | [-0.007596257316359019, -0.05563096873145511, -0.2030061579672462, 0.09925832208916861, -0.12285652040046151, -0.10825319116209019, 0.08205999616904468, 0.4295344812385106, -0.25057421332635615, -0.21763954860931736, 0.15613189596935348, -0.25472829718205886, -0.1826486483973972, 0.178071890306517, -0.08753263195818764, 0.08170326524295733, 0.016793586286100542, 0.03979277487654807, -0.10928799218292963, -0.28433319490592357, 0.3366799897245936, 0.09345872985925209, 0.3390142171864666, -0.04216839969789578, 0.164708543728674, 0.04536878704330174, -0.08276789936126541, -0.020986077344139754, -0.12677901582318848, 0.15419177499883888, 0.17604387374752659, 0.1808131508118773, 0.3582797584329116, -0.3631206584494498, -0.1783825975479716, 0.10109264419366748, 0.08306948951114032, 0.017807003884118492, -0.019187063369426435, -0.275416961066046, 0.028547819703817368, -0.1977212823359138, -0.06527824130824815, -0.17369881982646757, -0.019347709335260473, 0.03385594549936132, -0.30800901692739485, 0.12745156477350233, 0.05212501259678501, 0.03950297052703672, 0.011514964051765659, -0.15431413426995277, 0.01604475023745859, 0.030597192614134086, 0.08760276785262434, -0.019973088186076383, 0.11318304501789606, -0.11869420644272734, -0.06902036957947885, 0.27876409225292126, -0.10881110211297618, -0.22363962270950866, 0.17039562849785692, -0.11591276250211364, -0.14497499717241627, 0.0763718025458945, 0.19976361408450846, 0.10212974559705136, -0.1950421412712184, 0.10189563401193374, -0.04760456397553306, 0.11133089718424667, 0.007838775245946342, -0.029866389946033387, 0.16371710956791194, 0.19481282768044936, 0.09510474136272856, 0.19093818299598614, -0.1311272434748204, -0.03910356213070326, -0.27744410193320046, -0.1841188391702155, -0.2450913483497955, -0.004968007063587843, -0.1581539612858343, -0.2429339283982576, 0.44074984773662007, 0.19456018224137567, 0.214451917352439, 0.10777960457223451, 0.2841763779584129, 0.17483511963322507, 0.05091449523628768, 0.08425776527058017, 0.1691044985585041, 0.18957048330171886, -0.009065862334633277, -0.18360463757920314, 0.12908559208499046, 0.05968348282168351] |
709.3193 | Evolution of primordial black holes in Jordan-Brans-Dicke cosmology | We consider the evolution of primordial black holes in a generalyzed
Jordan-Brans-Dicke cosmological model where both the Brans-Dicke scalar field
and its coupling to gravity are dynamical functions determined from the
evolution equations. The evaporation rate for the black holes changes compared
to that in standard cosmology. We show that accretion of radiation can proceed
effectively in the radiation dominated era. The black hole lifetime shortens
for low initial mass, but increases for high initial mass, and is thus
considerably modified compared to the case of standard cosmology. We derive a
cut-off value for the initial black hole mass, below which primordial black
holes evaporate out in the radiation dominated era, and above which they
survive beyond the present era.
| gr-qc | we consider the evolution of primordial black holes in a generalyzed jordanbransdicke cosmological model where both the bransdicke scalar field and its coupling to gravity are dynamical functions determined from the evolution equations the evaporation rate for the black holes changes compared to that in standard cosmology we show that accretion of radiation can proceed effectively in the radiation dominated era the black hole lifetime shortens for low initial mass but increases for high initial mass and is thus considerably modified compared to the case of standard cosmology we derive a cutoff value for the initial black hole mass below which primordial black holes evaporate out in the radiation dominated era and above which they survive beyond the present era | [['we', 'consider', 'the', 'evolution', 'of', 'primordial', 'black', 'holes', 'in', 'a', 'generalyzed', 'jordanbransdicke', 'cosmological', 'model', 'where', 'both', 'the', 'bransdicke', 'scalar', 'field', 'and', 'its', 'coupling', 'to', 'gravity', 'are', 'dynamical', 'functions', 'determined', 'from', 'the', 'evolution', 'equations', 'the', 'evaporation', 'rate', 'for', 'the', 'black', 'holes', 'changes', 'compared', 'to', 'that', 'in', 'standard', 'cosmology', 'we', 'show', 'that', 'accretion', 'of', 'radiation', 'can', 'proceed', 'effectively', 'in', 'the', 'radiation', 'dominated', 'era', 'the', 'black', 'hole', 'lifetime', 'shortens', 'for', 'low', 'initial', 'mass', 'but', 'increases', 'for', 'high', 'initial', 'mass', 'and', 'is', 'thus', 'considerably', 'modified', 'compared', 'to', 'the', 'case', 'of', 'standard', 'cosmology', 'we', 'derive', 'a', 'cutoff', 'value', 'for', 'the', 'initial', 'black', 'hole', 'mass', 'below', 'which', 'primordial', 'black', 'holes', 'evaporate', 'out', 'in', 'the', 'radiation', 'dominated', 'era', 'and', 'above', 'which', 'they', 'survive', 'beyond', 'the', 'present', 'era']] | [-0.10583981803125318, 0.18060094663607223, -0.06529970256564747, 0.17791563169267655, -0.03375006981092278, -0.116164287788003, -0.01695664136224434, 0.26647018629494085, -0.20642839578966446, -0.34086140775818285, 0.09959955237993673, -0.2858081060860838, -0.02399565528358231, 0.2022492992730827, -0.020090322978716314, -0.0009850133000090405, 0.015133319342383692, 0.013130366009808764, -0.09133128807860419, -0.2308214909706202, 0.38754679308812906, 0.14748134591593212, 0.1860004511579652, -0.004763421281671324, 0.05815219208832924, -0.04600019175011445, 0.012266620222729546, 0.03290086460276311, -0.1957616331785802, -0.011463596225760686, 0.15214933007720763, 0.15046269726008177, 0.2229540288495291, -0.4165122554551403, -0.26302923096325287, 0.09734653942130443, 0.18578477446850733, 0.18332450753156126, -0.14652248022749143, -0.22093156316442839, 0.06337476025155488, -0.24319880361426152, -0.13328652714668704, 0.009172976838753504, 0.040380279816287966, -0.07318302171946574, -0.25332218554152663, 0.16855456545448103, 0.0034979509936641714, -0.1480901268146494, -0.1475651974216526, -0.053607036899618744, -0.0763075817141588, 0.06560625454817876, 0.12366468180900346, 0.03346875886591308, 0.2512112783166353, -0.17360415092489423, -0.023456055041942588, 0.3788694161373903, -0.15079612492587605, -0.10524026307295968, 0.16066173774565906, -0.2727519549398112, -0.11566538890914702, 0.12554133659964348, 0.1650924301009719, 0.16980308785392834, -0.11209485226725581, 0.12793866465598963, 0.10822609038006108, 0.18630404218233057, 0.11668396891024307, 0.05349941482423108, 0.4112073638390343, 0.13726427111414677, -0.01672154525686212, 0.11474689360739303, -0.0339900196467315, -0.11491041876837424, -0.2769682501920131, -0.11817414198900346, -0.14605555852421193, 0.10940190421088654, -0.16111417426573632, -0.1690634847736033, 0.3078920392577826, 0.16828201482260302, 0.16998933587896348, 0.06475864755608016, 0.2692849249118915, 0.10567598809495944, 0.036417388556791205, 0.11652978578144137, 0.3947483618360232, 0.11489349419736311, 0.16310076726044864, -0.2607450076484536, -0.03387930444950441, 0.022389827257006608] |
709.3194 | Sur l'irr\'eductibilit\'e d'une induite parabolique | Let $F$ be a non-Archimedean locally compact field and let $D$ be a central
division algebra over $F$. Let $\pi_1$ and $\pi_2$ be respectively two smooth
irreducible representations of ${\rm GL}(n_1,D)$ and ${\rm GL}(n_2,F)$, $n_1,
n_2 \geq 0$. In this article, we give some sufficient conditions on $\pi_1$ and
$\pi_2$ so that the parabolically induced representation of $\pi_1 \otimes
\pi_2$ to ${\rm GL}(n_1+n_2,D)$ has a unique irreducible quotient. In the case
where $\pi_1$ is a cuspidal representation, we compute the Zelevinsky's
parameters of such a quotient in terms of parameters of $\pi_2$. This is the
key point for making explicit Howe correspondence for dual pairs of type II.
| math.RT | let f be a nonarchimedean locally compact field and let d be a central division algebra over f let pi_1 and pi_2 be respectively two smooth irreducible representations of rm gln_1d and rm gln_2f n_1 n_2 geq 0 in this article we give some sufficient conditions on pi_1 and pi_2 so that the parabolically induced representation of pi_1 otimes pi_2 to rm gln_1n_2d has a unique irreducible quotient in the case where pi_1 is a cuspidal representation we compute the zelevinskys parameters of such a quotient in terms of parameters of pi_2 this is the key point for making explicit howe correspondence for dual pairs of type ii | [['let', 'f', 'be', 'a', 'nonarchimedean', 'locally', 'compact', 'field', 'and', 'let', 'd', 'be', 'a', 'central', 'division', 'algebra', 'over', 'f', 'let', 'pi_1', 'and', 'pi_2', 'be', 'respectively', 'two', 'smooth', 'irreducible', 'representations', 'of', 'rm', 'gln_1d', 'and', 'rm', 'gln_2f', 'n_1', 'n_2', 'geq', '0', 'in', 'this', 'article', 'we', 'give', 'some', 'sufficient', 'conditions', 'on', 'pi_1', 'and', 'pi_2', 'so', 'that', 'the', 'parabolically', 'induced', 'representation', 'of', 'pi_1', 'otimes', 'pi_2', 'to', 'rm', 'gln_1n_2d', 'has', 'a', 'unique', 'irreducible', 'quotient', 'in', 'the', 'case', 'where', 'pi_1', 'is', 'a', 'cuspidal', 'representation', 'we', 'compute', 'the', 'zelevinskys', 'parameters', 'of', 'such', 'a', 'quotient', 'in', 'terms', 'of', 'parameters', 'of', 'pi_2', 'this', 'is', 'the', 'key', 'point', 'for', 'making', 'explicit', 'howe', 'correspondence', 'for', 'dual', 'pairs', 'of', 'type', 'ii']] | [-0.2166304789217455, 0.13134061968220131, -0.10849516021220812, 0.02234751988823215, -0.08609810769779697, -0.1511631613996412, -0.06265346737401116, 0.35024565234780314, -0.34231277709560737, -0.12297822069154964, 0.07950969938953806, -0.22288874355588287, -0.10072889370577676, 0.18183239442074584, -0.09440062536104095, -0.11798675182674612, 0.0018598742516977445, 0.1638132721052638, -0.11561714176399013, -0.20056682328383127, 0.34374112962922526, -0.11159047360221545, 0.2004532006702253, 0.05833367076924159, 0.1028941565392805, -0.0026016682918582642, 0.040048619330905026, -0.10100233025760168, -0.19640620357302915, 0.0896799300686412, 0.37231482522163006, 0.1103010899991551, 0.19316018334412505, -0.3595166730384032, -0.07890955435466908, 0.3042001582504738, 0.19527955281415155, -0.09571087909418913, -0.001615119511483326, -0.29657185362164107, 0.16770788523856373, -0.17780708949125948, -0.09429096129855939, -0.0653045569058685, 0.14907328286540827, -0.030513771029100533, -0.36213454252020233, 0.004694138289917083, 0.09349526006373621, 0.13563225433407794, -0.049957938869262024, -0.16414499772446497, -0.10328397499840884, 0.08613267826537291, -0.04618731205839487, 0.12511127042983258, 0.04678440129029609, -0.1049684522629139, -0.05215413676425149, 0.3742282422126404, -0.10402228121778795, -0.2558311553938048, 0.09921452626364217, -0.15719977761286177, -0.15119353634349647, 0.0916738692316271, 0.09896240577190404, 0.16136192578733677, -0.013696759144243386, 0.21414827686468405, -0.14159252086565607, 0.07752350263236578, 0.08039454420407613, 0.023805234337314254, 0.15677967406365842, 0.059708399423176337, 0.04667666746037347, 0.11864385449305354, 0.025035049458078686, 0.08435811105938185, -0.41072222398860114, -0.2114671965085325, -0.1092764335152294, 0.19299805629554959, -0.08981180058825496, -0.08109337836503983, 0.3788844076118299, 0.02175505855342462, 0.19991116658562705, 0.10686182534499537, 0.18005028751989205, 0.09414035324395324, 0.022384627247672706, 0.07732153132203079, 0.04850630602893597, 0.25351419702970557, -0.12249412658690874, -0.1441572478950201, -0.0354466235664274, 0.1811897932285709] |
709.3195 | Two-scale numerical simulation of the weakly compressible 1D isentropic
Euler equations | Motivated by the difficulty to solve numerically the weakly compressible 1D
isentropic Euler equations with classical methods, we develop in this paper a
two scale numerical method on this model. This method is based on two scale
convergence theory developped by N'Guetseng and Allaire, and finite volume
scheme. Furthermore, we do some numerical simulations in order to verify that
the two-scale numerical method is more and more accurate when the Mach number
diminishes.
| math.NA | motivated by the difficulty to solve numerically the weakly compressible 1d isentropic euler equations with classical methods we develop in this paper a two scale numerical method on this model this method is based on two scale convergence theory developped by nguetseng and allaire and finite volume scheme furthermore we do some numerical simulations in order to verify that the twoscale numerical method is more and more accurate when the mach number diminishes | [['motivated', 'by', 'the', 'difficulty', 'to', 'solve', 'numerically', 'the', 'weakly', 'compressible', '1d', 'isentropic', 'euler', 'equations', 'with', 'classical', 'methods', 'we', 'develop', 'in', 'this', 'paper', 'a', 'two', 'scale', 'numerical', 'method', 'on', 'this', 'model', 'this', 'method', 'is', 'based', 'on', 'two', 'scale', 'convergence', 'theory', 'developped', 'by', 'nguetseng', 'and', 'allaire', 'and', 'finite', 'volume', 'scheme', 'furthermore', 'we', 'do', 'some', 'numerical', 'simulations', 'in', 'order', 'to', 'verify', 'that', 'the', 'twoscale', 'numerical', 'method', 'is', 'more', 'and', 'more', 'accurate', 'when', 'the', 'mach', 'number', 'diminishes']] | [-0.07875467451716152, 0.07639701778276099, -0.09860989355689122, 0.056148398180893205, -0.061775533508302435, -0.12257712263251758, 0.01040496393236228, 0.34472257191211814, -0.2532063700620913, -0.2919965556098355, 0.1186057504366747, -0.2382525523523024, -0.18758038783238995, 0.2465745754937719, -0.05320145135434965, 0.12916984516454655, 0.07447688561417938, -0.04431860141145686, -0.08816990897563907, -0.2877463198577364, 0.3396866125921305, 0.033501393097038895, 0.2656577462847862, 0.052063504548035176, 0.09998579527018592, -0.08483366146942393, -0.05180643603671342, 0.09555723396543828, -0.17157576333122254, 0.12186889594563076, 0.21271023092170557, 0.03883675562812843, 0.34442539520872134, -0.4662241217576795, -0.21384591170741865, 0.04643769268619104, 0.17744155067743528, 0.15547036398978284, -0.048271199402531946, -0.24101943763283393, 0.1591135989745251, -0.18908179712404186, -0.15323091848080772, -0.14317552368932715, -0.048302109999996096, 0.0266954496037215, -0.26591178159772727, 0.11072004713221556, 0.028079096887571115, 0.0443158951950156, -0.04317195560886628, -0.04023895097715366, 0.04974226619944804, 0.014855994267741658, 0.06739042055455179, -0.02017687870344768, 0.013205017312429845, -0.09110077523898023, -0.06006089552021068, 0.3874841276038852, -0.06167746169861251, -0.31016983883455396, 0.23564638669874208, -0.1153894977307775, -0.09570921754412767, 0.14677792337412635, 0.16658068432783088, 0.1991302695694483, -0.0981129254709635, 0.0709548264187308, -0.0772308151030706, 0.17046079895873037, 0.01977276172126747, -0.11387257477165097, 0.06767976866103709, 0.18545173857192923, 0.07395468206959777, 0.09638606422150689, -0.07771645170982487, -0.14075436111953524, -0.28955432955020416, -0.14055454323917932, -0.20787341489146152, 0.007316241331864148, -0.09618503713479892, -0.15174782921611848, 0.34372485347411286, 0.25876495154403123, 0.14193805186854055, 0.10939276880688137, 0.36958906308023465, 0.13819317005497092, -0.061234317075609904, 0.10956896923016757, 0.1943297377975897, 0.1613504340315962, 0.11258560673902845, -0.2609955198519553, -0.01588920042073975, 0.21187885629478842] |
709.3196 | Quantum nonlocality without entanglement in a pair of qubits | We consider unambiguous discrimination of two separable bipartite states, one
being pure and the other being a rank-2 mixed state. There is a gap between the
optimal success probability under global measurements and the one achieved by
generalized measurements with separable measurement operators. We show that
even the latter success probability cannot be achieved via local operations and
classical communication, leaving a nonzero gap in between.
| quant-ph | we consider unambiguous discrimination of two separable bipartite states one being pure and the other being a rank2 mixed state there is a gap between the optimal success probability under global measurements and the one achieved by generalized measurements with separable measurement operators we show that even the latter success probability cannot be achieved via local operations and classical communication leaving a nonzero gap in between | [['we', 'consider', 'unambiguous', 'discrimination', 'of', 'two', 'separable', 'bipartite', 'states', 'one', 'being', 'pure', 'and', 'the', 'other', 'being', 'a', 'rank2', 'mixed', 'state', 'there', 'is', 'a', 'gap', 'between', 'the', 'optimal', 'success', 'probability', 'under', 'global', 'measurements', 'and', 'the', 'one', 'achieved', 'by', 'generalized', 'measurements', 'with', 'separable', 'measurement', 'operators', 'we', 'show', 'that', 'even', 'the', 'latter', 'success', 'probability', 'can', 'not', 'be', 'achieved', 'via', 'local', 'operations', 'and', 'classical', 'communication', 'leaving', 'a', 'nonzero', 'gap', 'in', 'between']] | [-0.14935990311761402, 0.17869782641377133, -0.07791654999131586, 0.048728258732998214, 0.019512935885603527, -0.22969930461232566, 0.09750470321681072, 0.3751635922313626, -0.2839625252049361, -0.2761089342243191, 0.11000915117728621, -0.25278976529058234, -0.10293075814843178, 0.14864127810544042, -0.04375202161496255, 0.05438842048951939, 0.09496854322114542, 0.08189161886363777, -0.1431127178218605, -0.24395148790052243, 0.3482203361258578, -0.015163507932838775, 0.30117811548954515, 0.03699793616125582, 0.09704674420350079, 0.04787826814702643, 0.009461972214378861, 0.03899776904996651, -0.07674277048097983, 0.10843767508874828, 0.2890605652677034, 0.16317730141914824, 0.2650240569361555, -0.3992345738711197, -0.18314873292319364, 0.2138031833985848, 0.04887231921693727, 0.10245859515922728, -0.054697796455653966, -0.29332765656064697, 0.049729715563607085, -0.18699977665778195, -0.07835675715538326, -0.08195847299283565, -0.011459468905605487, -0.062471469558441815, -0.2868967218004834, 0.10378875513213562, 0.06126981369330923, 0.026898516036236463, -0.03656789149616414, -0.09387310462267097, -0.014558572461133573, 0.14159631425403615, -0.034008295662742834, 0.02399180206789899, 0.08176460794048078, -0.14942570419898674, -0.16848588331755418, 0.3065013895228283, -0.09476161925400149, -0.2389466848898568, 0.18611762607852414, -0.15307162268393076, -0.08901850904212959, 0.07938368366892214, 0.055342494496213854, 0.08683616715942079, -0.11054912625130878, 0.05841916480966941, -0.05846764877049336, 0.18237958640318863, 0.06407000597760971, 0.10369085223733712, 0.1699592661974368, 0.10512438188515492, 0.15269603641224164, 0.13838617386793328, -0.03524957517763155, -0.11596288829485872, -0.28262837087985737, -0.15875025367392087, -0.2327750825719324, 0.06522045694938826, -0.03814556982664482, -0.08875747375301461, 0.3794778937390491, 0.029839114490166695, 0.18293933853951852, 0.04632890747109456, 0.27991212659807346, 0.12080882547715151, 0.043128650315773134, 0.11576598480260417, 0.3051648618959224, 0.1370693535662131, -0.01813164967765559, -0.20190348506057218, 0.11668171488276835, 0.024149902025932698] |
709.3197 | Dust-grain processing in circumbinary discs around evolved binaries. The
RV Tauri spectral twins RU Cen and AC Her | Context: We study the structure and evolution of circumstellar discs around
evolved binaries and their impact on the evolution of the central system. Aims:
To study in detail the binary nature of RUCen and ACHer, as well as the
structure and mineralogy of the circumstellar environment. Methods: We combine
multi-wavelength observations with a 2D radiative transfer study. Our radial
velocity program studies the central stars, while our Spitzer spectra and
broad-band SEDs are used to constrain mineralogy, grain sizes and physical
structure of the circumstellar environment. Results: We determine the orbital
elements of RUCen showing that the orbit is highly eccentric with a rather long
period of 1500 days. The infrared spectra of both objects are very similar and
the spectral dust features are dominated by Mg-rich crystalline silicates. The
small peak-to-continuum ratios are interpreted as being due to large grains.
Our model contains two components with a cold midplain dominated by large
grains, and the near- and mid-IR which is dominated by the emission of smaller
silicates. The infrared excess is well modelled assuming a hydrostatic passive
irradiated disc. The profile-fitting of the dust resonances shows that the
grains must be very irregular. Conclusions: These two prototypical RVTauri
pulsators with circumstellar dust are binaries where the dust is trapped in a
stable disc. The mineralogy and grain sizes show that the dust is highly
processed, both in crystallinity and grain size. The cool crystals show that
either radial mixing is very efficient and/or that the thermal history at grain
formation has been very different from that in outflows. The physical processes
governing the structure of these discs are similar to those observed in
protoplanetary discs around young stellar objects.
| astro-ph | context we study the structure and evolution of circumstellar discs around evolved binaries and their impact on the evolution of the central system aims to study in detail the binary nature of rucen and acher as well as the structure and mineralogy of the circumstellar environment methods we combine multiwavelength observations with a 2d radiative transfer study our radial velocity program studies the central stars while our spitzer spectra and broadband seds are used to constrain mineralogy grain sizes and physical structure of the circumstellar environment results we determine the orbital elements of rucen showing that the orbit is highly eccentric with a rather long period of 1500 days the infrared spectra of both objects are very similar and the spectral dust features are dominated by mgrich crystalline silicates the small peaktocontinuum ratios are interpreted as being due to large grains our model contains two components with a cold midplain dominated by large grains and the near and midir which is dominated by the emission of smaller silicates the infrared excess is well modelled assuming a hydrostatic passive irradiated disc the profilefitting of the dust resonances shows that the grains must be very irregular conclusions these two prototypical rvtauri pulsators with circumstellar dust are binaries where the dust is trapped in a stable disc the mineralogy and grain sizes show that the dust is highly processed both in crystallinity and grain size the cool crystals show that either radial mixing is very efficient andor that the thermal history at grain formation has been very different from that in outflows the physical processes governing the structure of these discs are similar to those observed in protoplanetary discs around young stellar objects | [['context', 'we', 'study', 'the', 'structure', 'and', 'evolution', 'of', 'circumstellar', 'discs', 'around', 'evolved', 'binaries', 'and', 'their', 'impact', 'on', 'the', 'evolution', 'of', 'the', 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709.3198 | Temperature fluctuations of interstellar dust grains | The temperatures of interstellar dust grains are analyzed using stochastic
simulations, taking into account the grain composition and size and the
discreteness of the photon flux. [...] The distribution of grain temperatures
is calculated for a broad range of grain sizes and for different intensities of
the interstellar radiation field, relevant to diffuse clouds and to PDRs. The
dependence of the average grain temperature on its size is shown for different
irradiation intensities. It is found that the average temperatures of grains
with radii smaller than about 0.02 $\mu$m are reduced due to the fluctuations.
The average temperatures of grains of radii larger than about 0.35 $\mu$m are
also slightly reduced due to their more efficient emission of infrared
radiation, particularly when exposed to high irradiation intensities. The
average temperatures <T> of silicate and carbonaceous grains are found to
depend on the radiation field intensity X_MMP according to <T>~X_MMP^gamma,
where the exponent gamma depends on the grain size and composition. This
fitting formula is expected to be useful in simulations of interstellar
processes, and can replace commonly used approximations which do not account
for the grain temperature fluctuations and for the detailed properties of
interstellar dust particles. The implications of the results on molecular
hydrogen formation are also discussed. It is concluded that grain-temperature
fluctuations tend to reduce the formation rate of molecular hydrogen, and
cannot account for the observations of H_2 in photon dominated regions, even in
the presence of chemisorption sites.
| astro-ph | the temperatures of interstellar dust grains are analyzed using stochastic simulations taking into account the grain composition and size and the discreteness of the photon flux the distribution of grain temperatures is calculated for a broad range of grain sizes and for different intensities of the interstellar radiation field relevant to diffuse clouds and to pdrs the dependence of the average grain temperature on its size is shown for different irradiation intensities it is found that the average temperatures of grains with radii smaller than about 002 mum are reduced due to the fluctuations the average temperatures of grains of radii larger than about 035 mum are also slightly reduced due to their more efficient emission of infrared radiation particularly when exposed to high irradiation intensities the average temperatures t of silicate and carbonaceous grains are found to depend on the radiation field intensity x_mmp according to tx_mmpgamma where the exponent gamma depends on the grain size and composition this fitting formula is expected to be useful in simulations of interstellar processes and can replace commonly used approximations which do not account for the grain temperature fluctuations and for the detailed properties of interstellar dust particles the implications of the results on molecular hydrogen formation are also discussed it is concluded that graintemperature fluctuations tend to reduce the formation rate of molecular hydrogen and cannot account for the observations of h_2 in photon dominated regions even in the presence of chemisorption sites | [['the', 'temperatures', 'of', 'interstellar', 'dust', 'grains', 'are', 'analyzed', 'using', 'stochastic', 'simulations', 'taking', 'into', 'account', 'the', 'grain', 'composition', 'and', 'size', 'and', 'the', 'discreteness', 'of', 'the', 'photon', 'flux', 'the', 'distribution', 'of', 'grain', 'temperatures', 'is', 'calculated', 'for', 'a', 'broad', 'range', 'of', 'grain', 'sizes', 'and', 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709.3199 | Spitzer Space Telescope spectral observations of AGB stars in the Fornax
dwarf spheroidal galaxy | We have observed five carbon-rich AGB stars in the Fornax dwarf spheroidal
(dSph) galaxy, using the Infrared Spectrometer on board the Spitzer Space
Telescope. The stars were selected from a near-infrared survey of Fornax and
include the three reddest stars, with presumably the highest mass-loss rates,
in that galaxy. Such carbon stars probably belong to the intermediate-age
population (2-8 Gyr old and metallicity of [Fe/H] -1) of Fornax. The primary
aim of this paper is to investigate mass-loss rate, as a function of luminosity
and metallicity, by comparing AGB stars in several galaxies with different
metallicities. The spectra of three stars are fitted with a radiative transfer
model. We find that mass-loss rates of these three stars are 4-7x10^-6 Msun
yr-1. The other two stars have mass-loss rates below 1.3x10^-6 Msun yr-1. We
find no evidence that these rates depend on metallicity, although we do suggest
that the gas-to-dust ratio could be higher than at solar metallicity, in the
range 240 to 800. The C2H2 bands are stronger at lower metallicity because of
the higher C/O ratio. In contrast, the SiC fraction is reduced at low
metallicity, due to low silicon abundance. The total mass-loss rate from all
known carbon-rich AGB stars into the interstellar medium of this galaxy is of
the order of 2x10^-5 Msun yr-1. This is much lower than that of the dwarf
irregular galaxy WLM, which has a similar visual luminosity and metallicity.
The difference is attributed to the younger stellar population of WLM. The
suppressed gas-return rate to the ISM accentuates the difference between the
relatively gas-rich dwarf irregular and the gas-poor dwarf spheroidal galaxies.
Our study will be useful to constrain gas and dust recycling processes in low
metallicity galaxies.
| astro-ph | we have observed five carbonrich agb stars in the fornax dwarf spheroidal dsph galaxy using the infrared spectrometer on board the spitzer space telescope the stars were selected from a nearinfrared survey of fornax and include the three reddest stars with presumably the highest massloss rates in that galaxy such carbon stars probably belong to the intermediateage population 28 gyr old and metallicity of feh 1 of fornax the primary aim of this paper is to investigate massloss rate as a function of luminosity and metallicity by comparing agb stars in several galaxies with different metallicities the spectra of three stars are fitted with a radiative transfer model we find that massloss rates of these three stars are 47x106 msun yr1 the other two stars have massloss rates below 13x106 msun yr1 we find no evidence that these rates depend on metallicity although we do suggest that the gastodust ratio could be higher than at solar metallicity in the range 240 to 800 the c2h2 bands are stronger at lower metallicity because of the higher co ratio in contrast the sic fraction is reduced at low metallicity due to low silicon abundance the total massloss rate from all known carbonrich agb stars into the interstellar medium of this galaxy is of the order of 2x105 msun yr1 this is much lower than that of the dwarf irregular galaxy wlm which has a similar visual luminosity and metallicity the difference is attributed to the younger stellar population of wlm the suppressed gasreturn rate to the ism accentuates the difference between the relatively gasrich dwarf irregular and the gaspoor dwarf spheroidal galaxies our study will be useful to constrain gas and dust recycling processes in low metallicity galaxies | [['we', 'have', 'observed', 'five', 'carbonrich', 'agb', 'stars', 'in', 'the', 'fornax', 'dwarf', 'spheroidal', 'dsph', 'galaxy', 'using', 'the', 'infrared', 'spectrometer', 'on', 'board', 'the', 'spitzer', 'space', 'telescope', 'the', 'stars', 'were', 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709.32 | Fano manifolds and blow-ups of low-dimensional subvarieties | We study Fano manifolds of pseudoindex greater than one and dimension greater
than five, which are blow-ups of smooth varieties along smooth centers of
dimension equal to the pseudoindex of the manifold. We obtain a classification
of the possible cones of curves of these manifolds, and we prove that there is
only one such manifold without a fiber type elementary contraction.
| math.AG | we study fano manifolds of pseudoindex greater than one and dimension greater than five which are blowups of smooth varieties along smooth centers of dimension equal to the pseudoindex of the manifold we obtain a classification of the possible cones of curves of these manifolds and we prove that there is only one such manifold without a fiber type elementary contraction | [['we', 'study', 'fano', 'manifolds', 'of', 'pseudoindex', 'greater', 'than', 'one', 'and', 'dimension', 'greater', 'than', 'five', 'which', 'are', 'blowups', 'of', 'smooth', 'varieties', 'along', 'smooth', 'centers', 'of', 'dimension', 'equal', 'to', 'the', 'pseudoindex', 'of', 'the', 'manifold', 'we', 'obtain', 'a', 'classification', 'of', 'the', 'possible', 'cones', 'of', 'curves', 'of', 'these', 'manifolds', 'and', 'we', 'prove', 'that', 'there', 'is', 'only', 'one', 'such', 'manifold', 'without', 'a', 'fiber', 'type', 'elementary', 'contraction']] | [-0.19242154876701534, 0.04941181917903853, -0.06146691186872662, 0.10954069823492318, -0.06765609226937665, -0.21137337203397125, -0.017041946150606772, 0.38314336440602287, -0.20901104969690082, -0.19334695256147227, 0.1300251489871594, -0.2882248695298541, -0.15869498216321876, 0.2407749275386822, -0.13668251540664522, -0.037388912081474164, 0.03419406020433688, 0.08190643627837789, -0.12342521590734144, -0.335384449971168, 0.49694317811336675, -0.10303907658233018, 0.2248575475189041, 0.047712672501802444, 0.14541602212569263, -0.019121109988906832, 0.03562093090235454, 0.03788367556560723, -0.15301349115251187, 0.2157837572988489, 0.23104135392874967, 0.08541495299928623, 0.1916341383590317, -0.3665429391272244, -0.2135723160854617, 0.23633202711944698, 0.134494257090827, 0.07602210786216511, 0.047550357553772016, -0.2085833273156256, 0.16346424126417422, -0.07879601928909294, -0.2427712875708449, -0.07633345348180318, 0.0358531573772064, -0.007750092139162245, -0.16773868026975236, 0.0026457271859294078, 0.14306203544628424, 0.15449493050147764, -0.04487532348998013, -0.12452235932416114, -0.09651637704065832, 0.0554128789045222, 0.025793301869092174, 0.043243288661765515, 0.09737820031701541, -0.08933366519078369, -0.12111042394134842, 0.34688922437671266, -0.04193890249961606, -0.21427184068521515, 0.1869257672796728, -0.183451961588542, -0.08829042913208975, 0.18875589994255637, 0.14571820944547653, 0.20719862759846155, -0.01212087707960459, 0.04803244198374756, -0.03874521384962269, 0.10478509393077894, 0.14795927850712762, 0.0034205707507666016, 0.07116290024809967, 0.14276815214973004, 0.1847999398367571, 0.0752985182496887, -0.05889136922072436, -0.03599229418447424, -0.32942026169573674, -0.2373620407335216, -0.13884692281851027, 0.23896284097591874, -0.17086685427462636, -0.14376292502904525, 0.39156681734335713, -0.018420765176415443, 0.25312792125051137, 0.08263380611964243, 0.25520021950856586, 0.028827736978648138, 0.05794799352278475, 0.07431861079588044, 0.20232016662685354, 0.16254728539373542, -0.06257828291444505, -0.09223591961485685, -0.0689483298920095, 0.11810500812945796] |
709.3201 | An impact of the metrics probabilistic distributions on the spatial
geometry of the universe in quantum model | It is shown that the homogeneous and isotropic Universe is spatially flat in
the limit which takes into account the moments of infinitely large orders of
probabilistic distribution of a scale factor with respect to its mean value in
the state with large quantum numbers. The quantum mechanism of fine tuning of
the total energy density in the Universe to the critical value at the early
stage of its evolution is proposed and the reason of possible small difference
between these densities during the subsequent expansion is indicated. A
comparison of the predictions of the quantum model with the real Universe is
given.
| astro-ph gr-qc | it is shown that the homogeneous and isotropic universe is spatially flat in the limit which takes into account the moments of infinitely large orders of probabilistic distribution of a scale factor with respect to its mean value in the state with large quantum numbers the quantum mechanism of fine tuning of the total energy density in the universe to the critical value at the early stage of its evolution is proposed and the reason of possible small difference between these densities during the subsequent expansion is indicated a comparison of the predictions of the quantum model with the real universe is given | [['it', 'is', 'shown', 'that', 'the', 'homogeneous', 'and', 'isotropic', 'universe', 'is', 'spatially', 'flat', 'in', 'the', 'limit', 'which', 'takes', 'into', 'account', 'the', 'moments', 'of', 'infinitely', 'large', 'orders', 'of', 'probabilistic', 'distribution', 'of', 'a', 'scale', 'factor', 'with', 'respect', 'to', 'its', 'mean', 'value', 'in', 'the', 'state', 'with', 'large', 'quantum', 'numbers', 'the', 'quantum', 'mechanism', 'of', 'fine', 'tuning', 'of', 'the', 'total', 'energy', 'density', 'in', 'the', 'universe', 'to', 'the', 'critical', 'value', 'at', 'the', 'early', 'stage', 'of', 'its', 'evolution', 'is', 'proposed', 'and', 'the', 'reason', 'of', 'possible', 'small', 'difference', 'between', 'these', 'densities', 'during', 'the', 'subsequent', 'expansion', 'is', 'indicated', 'a', 'comparison', 'of', 'the', 'predictions', 'of', 'the', 'quantum', 'model', 'with', 'the', 'real', 'universe', 'is', 'given']] | [-0.11596886850599633, 0.16228128689368373, -0.09921232403427796, 0.04452472500326745, -0.00916596133831563, -0.040688773232864815, 0.0036334203786750154, 0.3293917340054674, -0.258261230177454, -0.3317669789025388, 0.07871290265686484, -0.24473322741687298, -0.05699629625486373, 0.14903108921869504, 0.02824792574675193, 0.031098724902354324, 0.023019676209761968, 0.07625986778548041, -0.045219051044149486, -0.25908067133458496, 0.3436199383566029, 0.10106132962646017, 0.2981379771044532, 0.0463539470672083, 0.12595619859843, -0.052450873391155735, -0.026466842917092507, 0.03300667121481982, -0.11504825325130352, 0.0975340731640898, 0.18952672918625538, 0.08001985764402209, 0.27582542169658303, -0.40061976775092983, -0.1940879826298327, 0.1355479483863393, 0.0902980740376504, 0.11755634665159165, -0.0030702544982065855, -0.25269879163830605, 0.09124046652600422, -0.1395593101692214, -0.15207068808828889, -0.03015468569779859, 0.05326956246970493, 0.002696035895496607, -0.2590449859831229, 0.12334520507488599, 0.036392849420188264, -0.012682233480465354, -0.07034622881226965, -0.08818442126265863, -0.021468183134221337, 0.12755598198821388, 0.07382589694026641, 0.016990284254611694, 0.09782131456372156, -0.1745327716287524, -0.05603719565077025, 0.4027647993445975, -0.09275280253835094, -0.12535187506198303, 0.15563675538790459, -0.19156498259421692, -0.07527847461474751, 0.1478329501589489, 0.10596321623555376, 0.10167162711686879, -0.08258045415927484, 0.10779969818162216, 0.016561901607116666, 0.18015737900311507, 0.014941699368861115, 0.022032765594754113, 0.24404310807585716, 0.18244352364388194, 0.04795999399576228, 0.11882437213586228, -0.08771542098047663, -0.18152856227808442, -0.34041699244487056, -0.17535797431522493, -0.2079906614714311, 0.07139381920936906, -0.15286159365255955, -0.18472205324056648, 0.40067844884922205, 0.12335657332436119, 0.2444242020092398, 0.018860232890854835, 0.27409303009293035, 0.16007808291181488, 0.06241888864851982, 0.07064833699101672, 0.24898148011427498, 0.1340378604883563, 0.09287479973524737, -0.22546922377970757, 0.09060888081445422, 0.017030023339032693] |
709.3202 | Local rigidity of surfaces in space forms | This paper is withdrawn.
| math.DG | this paper is withdrawn | [['this', 'paper', 'is', 'withdrawn']] | [-0.24602595902979374, -0.055334602016955614, -0.1524471938610077, -0.16352575365453959, -0.26721160393208265, -0.045444258488714695, -0.1054855396214407, 0.3059382438659668, -0.44995807111263275, -0.2964558079838753, 0.05452701076865196, -0.3813247559592128, -0.22065908461809158, -0.15431781113147736, -0.6288217753171921, -0.011886388063430786, 0.11395012680441141, -0.25634601432830095, 0.016961471643298864, -0.4270068481564522, 0.3444008380174637, 0.211301913484931, 0.2513318248093128, 0.4398200958967209, -0.0950012260582298, -0.174293301301077, -0.16447429917752743, -0.07995936740189791, -0.21106180921196938, 0.15564055857248604, 0.2620687149465084, -0.007568225730210543, 0.58502097427845, -0.3083982043899596, -0.07466744258999825, 0.2639729389920831, 0.31344902655109763, 0.22104241140186787, -0.20250926353037357, -0.35594874806702137, 0.3833873029798269, -0.5143427420407534, -0.2268666592426598, 0.18699902575463057, 0.10440802993252873, -0.4020374184474349, -0.10266121476888657, 0.11877031321637332, 0.3346686400473118, 0.3213543356396258, 0.1106360824778676, -0.1306759025901556, 0.2303236285224557, 0.1519990609958768, 0.3221002842183225, 0.2502131499350071, -0.02748213242739439, 0.015094092639628798, 0.09679632866755128, 0.39734309539198875, 0.27067429944872856, -0.3344830283895135, -0.05481935478746891, 0.08671767101623118, -0.1804244602099061, 0.10206604842096567, 0.19780738279223442, 0.20369017915800214, -0.4929296486079693, 0.28328499640338123, -0.11846005171537399, 0.2871321626007557, 0.22160744341090322, -0.10942331328988075, 0.009571414440870285, 0.3101793471723795, 0.0035859656054526567, 0.33722126856446266, 0.02838264126330614, 0.11900834552943707, -0.3135478366166353, -0.28433142229914665, -0.3966753724962473, 0.12152881943620741, 0.5031762076541781, -0.17580022662878036, 0.39008067175745964, 0.38798846304416656, 0.06427526660263538, -0.03290873393416405, 0.4561207890510559, 0.23210099406423979, -0.1310879960656166, -0.07998964108992368, 0.3606125991791487, 0.06182746682316065, 0.3039327412843704, 0.08131748891901225, 0.3394510839134455, 0.2774962233379483] |
709.3203 | Modeling Metropolis Public Transport | We present results of a survey of public transport networks (PTNs) of
selected 14 major cities of the world with PTN sizes ranging between 2000 and
46000 stations and develop an evolutionary model of these networks. The
structure of these PTNs is revealed in terms of a set of neighbourhood
relations both for the routes and the stations. The networks defined in this
way display distinguishing properties due to the constraints of the embedding
2D geographical space and the structure of the cities. In addition to the
standard characteristics of complex networks like the number of nearest
neighbours, mean path length, and clustering we observe features specific to
PTNs. While other networks with real-world links like cables or neurons
embedded in two or three dimensions often show similar behavior, these can be
studied in detail in our present case. Geographical data for the routes reveal
surprising self-avoiding walk properties that we relate to the optimization of
surface coverage. We propose and simulate an evolutionary growth model based on
effectively interacting self-avoiding walks that reproduces the key features of
PTN.
| physics.soc-ph | we present results of a survey of public transport networks ptns of selected 14 major cities of the world with ptn sizes ranging between 2000 and 46000 stations and develop an evolutionary model of these networks the structure of these ptns is revealed in terms of a set of neighbourhood relations both for the routes and the stations the networks defined in this way display distinguishing properties due to the constraints of the embedding 2d geographical space and the structure of the cities in addition to the standard characteristics of complex networks like the number of nearest neighbours mean path length and clustering we observe features specific to ptns while other networks with realworld links like cables or neurons embedded in two or three dimensions often show similar behavior these can be studied in detail in our present case geographical data for the routes reveal surprising selfavoiding walk properties that we relate to the optimization of surface coverage we propose and simulate an evolutionary growth model based on effectively interacting selfavoiding walks that reproduces the key features of ptn | [['we', 'present', 'results', 'of', 'a', 'survey', 'of', 'public', 'transport', 'networks', 'ptns', 'of', 'selected', '14', 'major', 'cities', 'of', 'the', 'world', 'with', 'ptn', 'sizes', 'ranging', 'between', '2000', 'and', '46000', 'stations', 'and', 'develop', 'an', 'evolutionary', 'model', 'of', 'these', 'networks', 'the', 'structure', 'of', 'these', 'ptns', 'is', 'revealed', 'in', 'terms', 'of', 'a', 'set', 'of', 'neighbourhood', 'relations', 'both', 'for', 'the', 'routes', 'and', 'the', 'stations', 'the', 'networks', 'defined', 'in', 'this', 'way', 'display', 'distinguishing', 'properties', 'due', 'to', 'the', 'constraints', 'of', 'the', 'embedding', '2d', 'geographical', 'space', 'and', 'the', 'structure', 'of', 'the', 'cities', 'in', 'addition', 'to', 'the', 'standard', 'characteristics', 'of', 'complex', 'networks', 'like', 'the', 'number', 'of', 'nearest', 'neighbours', 'mean', 'path', 'length', 'and', 'clustering', 'we', 'observe', 'features', 'specific', 'to', 'ptns', 'while', 'other', 'networks', 'with', 'realworld', 'links', 'like', 'cables', 'or', 'neurons', 'embedded', 'in', 'two', 'or', 'three', 'dimensions', 'often', 'show', 'similar', 'behavior', 'these', 'can', 'be', 'studied', 'in', 'detail', 'in', 'our', 'present', 'case', 'geographical', 'data', 'for', 'the', 'routes', 'reveal', 'surprising', 'selfavoiding', 'walk', 'properties', 'that', 'we', 'relate', 'to', 'the', 'optimization', 'of', 'surface', 'coverage', 'we', 'propose', 'and', 'simulate', 'an', 'evolutionary', 'growth', 'model', 'based', 'on', 'effectively', 'interacting', 'selfavoiding', 'walks', 'that', 'reproduces', 'the', 'key', 'features', 'of', 'ptn']] | [-0.1383161180075154, 0.06933033901709652, -0.05107123662025652, 0.05497731128447382, -0.025420892949856028, -0.1174871533375504, 0.052600984413478546, 0.3988033976280989, -0.26829463872549975, -0.3292451246365822, 0.07479284896109482, -0.30392688118941125, -0.21264356351457536, 0.17272648762641007, -0.04366276144544664, 0.011345546388239001, 0.05085191794790785, 0.016946011786114986, -0.006865037662398548, -0.25555971031565466, 0.31316259720846595, 0.023645685720335506, 0.2985442504546912, 0.016364764330476813, 0.07955235179172902, -0.019679296400148275, -0.04537661612494302, 0.05501385191022991, -0.14147753064826654, 0.1589362784600999, 0.230943313315927, 0.11967084190597518, 0.22329213785387408, -0.440779503528549, -0.24338001044019641, 0.10516848521275893, 0.15047326225620908, 0.0632050180054587, 3.53644923280987e-05, -0.28715647310512815, 0.07370055630782296, -0.13053194103065316, -0.11486769250890645, -0.04757582324793739, 0.01265773986591099, 0.08857087338832337, -0.2055868795915512, 0.03301084531450321, 0.007680872148267051, 0.07517101482992898, -0.024330785232674144, -0.10448144957964314, -0.032208887113560014, 0.20464035381391313, 0.020067992300190574, -0.022771431955862686, 0.11889737199240119, -0.15118617597185646, -0.15669406882835832, 0.39514176283219005, -0.016331532767156983, -0.14694857449197943, 0.24517212069707833, -0.12596178005381836, -0.1558498181350654, 0.0689667276303185, 0.2248209666606434, 0.09001729792561486, -0.17555352815039268, 0.013705627938768925, -0.05166993680925176, 0.13598712276688169, 0.03878483613276615, 0.04611940811877269, 0.20177149483609674, 0.21586030945910256, 0.06302706748195118, 0.13502515946266466, -0.1364231974656522, -0.1420987943894953, -0.2179699438252075, -0.1414280343975081, -0.1663831765685418, 0.031779612981657074, -0.1530097051721662, -0.17394589604263574, 0.4206557221393304, 0.16953073263140045, 0.24015795865210615, 0.1007683822122928, 0.23493207498666877, 0.022394283209077354, 0.08106600345429761, 0.09914629705323104, 0.17299956475597852, 0.07539706073464648, 0.10450444730940436, -0.17267478460591681, 0.07593518420117361, 0.026291018489789864] |
709.3204 | Spin wave resonances in La_{0.7}Sr_{0.3}MnO_{3} films: measurement of
spin wave stiffness and anisotropy field | We studied magnetic field dependent microwave absorption in epitaxial
La$_{0.7}$Sr$_{0.3}$MnO$_{3}$ films using an X-band Bruker ESR spectrometer. By
analyzing angular and temperature dependence of the ferromagnetic and spin-wave
resonances we determine spin-wave stiffness and anisotropy field. The spin-wave
stiffness as found from the spectrum of the standing spin-wave resonances in
thin films is in fair agreement with the results of inelastic neutron
scattering studies on a single crystal of the same composition [Vasiliu-Doloc
et al., J. Appl. Phys. \textbf{83}, 7343 (1998)].
| cond-mat.str-el cond-mat.mtrl-sci | we studied magnetic field dependent microwave absorption in epitaxial la_07sr_03mno_3 films using an xband bruker esr spectrometer by analyzing angular and temperature dependence of the ferromagnetic and spinwave resonances we determine spinwave stiffness and anisotropy field the spinwave stiffness as found from the spectrum of the standing spinwave resonances in thin films is in fair agreement with the results of inelastic neutron scattering studies on a single crystal of the same composition vasiliudoloc et al j appl phys textbf83 7343 1998 | [['we', 'studied', 'magnetic', 'field', 'dependent', 'microwave', 'absorption', 'in', 'epitaxial', 'la_07sr_03mno_3', 'films', 'using', 'an', 'xband', 'bruker', 'esr', 'spectrometer', 'by', 'analyzing', 'angular', 'and', 'temperature', 'dependence', 'of', 'the', 'ferromagnetic', 'and', 'spinwave', 'resonances', 'we', 'determine', 'spinwave', 'stiffness', 'and', 'anisotropy', 'field', 'the', 'spinwave', 'stiffness', 'as', 'found', 'from', 'the', 'spectrum', 'of', 'the', 'standing', 'spinwave', 'resonances', 'in', 'thin', 'films', 'is', 'in', 'fair', 'agreement', 'with', 'the', 'results', 'of', 'inelastic', 'neutron', 'scattering', 'studies', 'on', 'a', 'single', 'crystal', 'of', 'the', 'same', 'composition', 'vasiliudoloc', 'et', 'al', 'j', 'appl', 'phys', 'textbf83', '7343', '1998']] | [-0.1399818201596507, 0.18455675240960473, -0.035965886226371875, -0.08801539474950891, -0.09850596542222591, -0.07110103974826162, 0.029479080569470607, 0.440303698736184, -0.20127513105214773, -0.31137130139513486, -0.040114579184417014, -0.3241496732387739, -0.04216866502007823, 0.21416732733126118, 0.07253335570751489, 0.07561071083256149, -0.03419188008631898, -0.1020852618473523, -0.03283693760492002, -0.14335162542565855, 0.2272945607281467, 0.1309271736270925, 0.3471260902378266, 0.08292651571675286, 0.035637941538603814, 0.1264862807797669, 0.07862573432960088, 0.0012577246355859539, -0.25108605636802467, 0.023692282948265725, 0.28653158646819615, -0.13398042041218922, 0.10958251333795488, -0.4338001292788341, -0.20252178581077843, -0.05038652712880056, 0.1306030257852583, 0.1502136281379086, -0.05263311052370722, -0.28888134012305283, 0.007064842919618646, -0.14431192040962132, -0.10812325330445237, -0.07529230240756009, 0.011671991467688091, 0.03885074433740936, -0.2737112980125224, 0.11990072889418542, 0.07230835652002428, 0.1729862303532, -0.11836030501636523, -0.1609518197099855, -0.08916740392959571, -0.05270559870699845, 0.03218920339382242, 0.04503929029112753, 0.1660076034125648, -0.04240804066575026, -0.15575058359794225, 0.2760519689491278, -0.11694108973009677, -0.01742135660274874, 0.11723466177435615, -0.22461347763803846, -0.0577173398901956, 0.155195108470448, 0.10638325900661677, 0.11120996360160128, -0.14960585581728175, 0.14792187438608748, -0.05903343882270252, 0.2515548564305034, 0.17098579903522246, 0.02606525388316036, 0.1977514681535997, 0.17927974099853325, -0.10068304868580043, 0.10343209429809093, -0.166025404158178, 0.024906035149440498, -0.16923501027182122, -0.12140485665855245, -0.24384718849338427, 0.051828069252822594, -0.05612623971489795, -0.1552347278080975, 0.3748113243380868, 0.10693229237406314, 0.1855786284313926, -0.09203794044501419, 0.23083517799460435, 0.10018133002928682, 0.021047070097838398, 0.09598361404872016, 0.3217144129514883, 0.3168391363630425, 0.21840867822524898, -0.3369438405520035, 0.01527245297933681, -0.054029832582307764] |
709.3205 | Large volume behavior of Yang-Mills propagators | We summarize results on finite-volume effects in the propagators of Landau
gauge Yang-Mills theory using Dyson-Schwinger equations on a 4-dimensional
torus. We demonstrate explicitly how the solutions for the gluon and the ghost
propagator tend towards their respective infinite volume forms in the
corresponding limit. We discuss the relation of our solutions with results from
lattice Monte-Carlo simulations.
| hep-lat | we summarize results on finitevolume effects in the propagators of landau gauge yangmills theory using dysonschwinger equations on a 4dimensional torus we demonstrate explicitly how the solutions for the gluon and the ghost propagator tend towards their respective infinite volume forms in the corresponding limit we discuss the relation of our solutions with results from lattice montecarlo simulations | [['we', 'summarize', 'results', 'on', 'finitevolume', 'effects', 'in', 'the', 'propagators', 'of', 'landau', 'gauge', 'yangmills', 'theory', 'using', 'dysonschwinger', 'equations', 'on', 'a', '4dimensional', 'torus', 'we', 'demonstrate', 'explicitly', 'how', 'the', 'solutions', 'for', 'the', 'gluon', 'and', 'the', 'ghost', 'propagator', 'tend', 'towards', 'their', 'respective', 'infinite', 'volume', 'forms', 'in', 'the', 'corresponding', 'limit', 'we', 'discuss', 'the', 'relation', 'of', 'our', 'solutions', 'with', 'results', 'from', 'lattice', 'montecarlo', 'simulations']] | [-0.09293272767761915, 0.15922356945069122, -0.16404691961561813, 0.11191600713686183, -0.07208535181968634, 0.00852586201327885, 0.061084382980660504, 0.3579888237832949, -0.15139477101058282, -0.20887171648089484, 0.09250220513083683, -0.3320318523489324, -0.17675719313837332, 0.12787986787614122, 0.006595574505119093, 0.06930615711186466, 0.07716118302677982, 0.01688254685622865, -0.1229595056783151, -0.26405170392887345, 0.3928045154757926, -0.02132208238291586, 0.2537187614943832, 0.11279519771000948, 0.1294367486402264, 0.010035312760637367, -0.05978027650893762, 0.012543608755644026, -0.21103503311791555, 0.061439667023509614, 0.19832964008272594, 0.021723452497851747, 0.1764484152262067, -0.45221171585907194, -0.1747518082727389, 0.008654242991630373, 0.19129203577879175, 0.18739964870800233, -0.02926751696263793, -0.2763280916541558, 0.045222874120648564, -0.17042070042727323, -0.20807739523247462, -0.13042671684625334, -0.09473655462778847, -0.01191372382615147, -0.19157498225505495, 0.07478578464160192, -0.04096594461689478, 0.01480210646746102, -0.11305018157120152, -0.15096661178716297, -0.06330216709315649, 0.09004206312539313, 0.07696178844118298, 0.006397253922026219, 0.0729193894413615, -0.2315697293278986, -0.1481000523992156, 0.4043197710958213, -0.09370551399629691, -0.30835834654561917, 0.18364993913966263, -0.17331955752110687, -0.14092468114666126, 0.09715336699295661, 0.14944147224666487, 0.1381238218846506, -0.09768516925998547, 0.1956613835675947, -0.067560083244863, 0.11347481062443092, 0.06898042620641404, 0.026463164739182282, 0.18567314167539106, 0.09402785848440795, -0.02734836345891757, 0.16338437716055115, 0.002348964817115459, -0.18499590146580133, -0.39466649043405877, -0.0836004818877976, -0.10707441503824346, 0.101712712022508, -0.17048706282868556, -0.1609539339190413, 0.3509191082918952, 0.20210846499861057, 0.13365168356866544, 0.12904425445042855, 0.24719557545051493, 0.17374009415226313, 0.05867014077476001, 0.06213962773246498, 0.2033448587914383, 0.18806783936853552, 0.10497564371225648, -0.3231743596743086, -0.15466611750488138, 0.209120889435169] |
709.3206 | Attack Vulnerability of Public Transport Networks | The behavior of complex networks under attack depends strongly on the
specific attack scenario. Of special interest are scale-free networks, which
are usually seen as robust under random failure or attack but appear to be
especially vulnerable to targeted attacks. In a recent study of public
transport networks of 14 major cities of the world we have shown that these
networks may exhibit scale-free behaviour [Physica A 380, 585 (2007)]. Our
further analysis, subject of this report, focuses on the effects that defunct
or removed nodes have on the properties of public transport networks.
Simulating different attack strategies we elaborate vulnerability criteria that
allow to find minimal strategies with high impact on these systems.
| physics.soc-ph | the behavior of complex networks under attack depends strongly on the specific attack scenario of special interest are scalefree networks which are usually seen as robust under random failure or attack but appear to be especially vulnerable to targeted attacks in a recent study of public transport networks of 14 major cities of the world we have shown that these networks may exhibit scalefree behaviour physica a 380 585 2007 our further analysis subject of this report focuses on the effects that defunct or removed nodes have on the properties of public transport networks simulating different attack strategies we elaborate vulnerability criteria that allow to find minimal strategies with high impact on these systems | [['the', 'behavior', 'of', 'complex', 'networks', 'under', 'attack', 'depends', 'strongly', 'on', 'the', 'specific', 'attack', 'scenario', 'of', 'special', 'interest', 'are', 'scalefree', 'networks', 'which', 'are', 'usually', 'seen', 'as', 'robust', 'under', 'random', 'failure', 'or', 'attack', 'but', 'appear', 'to', 'be', 'especially', 'vulnerable', 'to', 'targeted', 'attacks', 'in', 'a', 'recent', 'study', 'of', 'public', 'transport', 'networks', 'of', '14', 'major', 'cities', 'of', 'the', 'world', 'we', 'have', 'shown', 'that', 'these', 'networks', 'may', 'exhibit', 'scalefree', 'behaviour', 'physica', 'a', '380', '585', '2007', 'our', 'further', 'analysis', 'subject', 'of', 'this', 'report', 'focuses', 'on', 'the', 'effects', 'that', 'defunct', 'or', 'removed', 'nodes', 'have', 'on', 'the', 'properties', 'of', 'public', 'transport', 'networks', 'simulating', 'different', 'attack', 'strategies', 'we', 'elaborate', 'vulnerability', 'criteria', 'that', 'allow', 'to', 'find', 'minimal', 'strategies', 'with', 'high', 'impact', 'on', 'these', 'systems']] | [-0.18836066932846351, 0.06549487013794612, -0.07484393522731568, 0.04790325667361908, -0.04672590748758235, -0.21366578777598447, 0.07431018158891484, 0.38611981086432934, -0.18960363808365768, -0.30891520291436136, 0.14810215092260032, -0.26723388004271936, -0.2478704054047468, 0.2132212884291157, -0.111407304517598, 0.06273799662461929, 0.058141319811335974, -0.0015772594702675154, 0.0162800558528193, -0.31981072136968897, 0.3558880019679731, 0.06682893578698368, 0.3542049149737546, 0.0666558020125274, 0.0228969388204349, -0.02066353844323506, -0.042192010616417974, 0.0388747353368161, -0.10816842019286062, 0.07968160259259637, 0.2447628219236146, 0.13304798838502743, 0.299401919578055, -0.44792815232486055, -0.2681022561890514, 0.14256918796321802, 0.10334542989240665, 0.10967014506438813, -0.01758923988152099, -0.30470602308285605, 0.1099370364498004, -0.196193995852873, -0.098553403762931, -0.08964393901017804, 0.007134899051794619, 0.07536305024762426, -0.19606721853804693, 0.040319186598552686, 0.03905192107419696, 0.09927157422102857, 0.026158895807161013, -0.11157157688744758, -0.039743215648438, 0.13680393991403675, 0.06070064256180143, -0.05199598033683734, 0.18738667197166042, -0.13012520189339852, -0.15282777179310328, 0.37035020957129045, 0.012162521487641098, -0.1479197939767976, 0.23588033379954204, -0.05917033885979388, -0.20484588020726255, 0.0988381406192243, 0.28931253765129666, 0.12281109894250046, -0.15674077344878592, -0.02277535384545397, -0.0377534561578119, 0.14144998053578953, 0.035905504851861655, 0.06428905411443689, 0.18741214304770293, 0.194953686398405, 0.0587236570529313, 0.12212069896192763, -0.09718464041259467, -0.11516732068961127, -0.19628942605688057, -0.03634159943995703, -0.1386797588130688, 0.08746704386175495, -0.07236355233512688, -0.16591370980364573, 0.38925035048701, 0.20041636505336277, 0.19093190653560063, 0.04805250795815434, 0.24266693840751, 0.0292872060988948, 0.0800271700164127, 0.10457926406525075, 0.2582742988025737, 0.03750073074020053, 0.12093182301083416, -0.15157810740761066, 0.18462185858260727, -0.04981590116911225] |
709.3207 | Small Scale Magnetic Flux Emergence Observed with Hinode/Solar Optical
Telescope | We observed small scale magnetic flux emergence in a sunspot moat region by
the Solar Optical Telescope (SOT) aboard the Hinode satellite. We analyzed
filtergram images observed in the wavelengths of Fe 6302 angstrom, G-band and
Ca II H. In Stokes I images of Fe 6302 angstrom, emerging magnetic flux were
recognized as dark lanes. In G-band, they showed their shapes almost the same
as in Stokes I images. These magnetic flux appeared as dark filaments in Ca II
H images. Stokes V images of Fe 6302 angstrom showed pairs of opposite
polarities at footpoints of each filament. These magnetic concentrations are
identified to correspond to bright points in G-band/Ca II H images. From the
analysis of time-sliced diagrams, we derived following properties of emerging
flux, which are consistent with the previous works. (1) Two footpoints separate
each other at a speed of 4.2 km/s during the initial phase of evolution and
decreases to about 1 km/s in 10 minutes later. (2) Ca II H filaments appear
almost simultaneously with the formation of dark lanes in Stokes I in the
observational cadence of 2 minutes. (3) The lifetime of the dark lanes in
Stokes I and G-band is 8 minutes, while that of Ca filament is 12 minutes. An
interesting phenomena was observed that an emerging flux tube expands laterally
in the photosphere with a speed of 3.8 km/s. Discussion on the horizontal
expansion of flux tube will be given with refernce to previous simulation
studies.
| astro-ph | we observed small scale magnetic flux emergence in a sunspot moat region by the solar optical telescope sot aboard the hinode satellite we analyzed filtergram images observed in the wavelengths of fe 6302 angstrom gband and ca ii h in stokes i images of fe 6302 angstrom emerging magnetic flux were recognized as dark lanes in gband they showed their shapes almost the same as in stokes i images these magnetic flux appeared as dark filaments in ca ii h images stokes v images of fe 6302 angstrom showed pairs of opposite polarities at footpoints of each filament these magnetic concentrations are identified to correspond to bright points in gbandca ii h images from the analysis of timesliced diagrams we derived following properties of emerging flux which are consistent with the previous works 1 two footpoints separate each other at a speed of 42 kms during the initial phase of evolution and decreases to about 1 kms in 10 minutes later 2 ca ii h filaments appear almost simultaneously with the formation of dark lanes in stokes i in the observational cadence of 2 minutes 3 the lifetime of the dark lanes in stokes i and gband is 8 minutes while that of ca filament is 12 minutes an interesting phenomena was observed that an emerging flux tube expands laterally in the photosphere with a speed of 38 kms discussion on the horizontal expansion of flux tube will be given with refernce to previous simulation studies | [['we', 'observed', 'small', 'scale', 'magnetic', 'flux', 'emergence', 'in', 'a', 'sunspot', 'moat', 'region', 'by', 'the', 'solar', 'optical', 'telescope', 'sot', 'aboard', 'the', 'hinode', 'satellite', 'we', 'analyzed', 'filtergram', 'images', 'observed', 'in', 'the', 'wavelengths', 'of', 'fe', '6302', 'angstrom', 'gband', 'and', 'ca', 'ii', 'h', 'in', 'stokes', 'i', 'images', 'of', 'fe', '6302', 'angstrom', 'emerging', 'magnetic', 'flux', 'were', 'recognized', 'as', 'dark', 'lanes', 'in', 'gband', 'they', 'showed', 'their', 'shapes', 'almost', 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709.3208 | Finite-size scaling functions for directed polymers confined between
attracting walls | The exact solution of directed self-avoiding walks confined to a slit of
finite width and interacting with the walls of the slit via an attractive
potential has been calculated recently. The walks can be considered to model
the polymer-induced steric stabilisation and sensitised floculation of
colloidal dispersions. The large width asymptotics led to a phase diagram
different to that of a polymer attached to, and attracted to, a single wall.
The question that arises is: can one interpolate between the single wall and
two wall cases? In this paper we calculate the exact scaling functions for the
partition function by considering the two variable asymptotics of the partition
function for simultaneous large length and large width. Consequently, we find
the scaling functions for the force induced by the polymer on the walls. We
find that these scaling functions are given by elliptic theta-functions. In
some parts of the phase diagram there is more a complex crossover between the
single wall and two wall cases and we elucidate how this happens.
| cond-mat.stat-mech cond-mat.soft math.CO | the exact solution of directed selfavoiding walks confined to a slit of finite width and interacting with the walls of the slit via an attractive potential has been calculated recently the walks can be considered to model the polymerinduced steric stabilisation and sensitised floculation of colloidal dispersions the large width asymptotics led to a phase diagram different to that of a polymer attached to and attracted to a single wall the question that arises is can one interpolate between the single wall and two wall cases in this paper we calculate the exact scaling functions for the partition function by considering the two variable asymptotics of the partition function for simultaneous large length and large width consequently we find the scaling functions for the force induced by the polymer on the walls we find that these scaling functions are given by elliptic thetafunctions in some parts of the phase diagram there is more a complex crossover between the single wall and two wall cases and we elucidate how this happens | [['the', 'exact', 'solution', 'of', 'directed', 'selfavoiding', 'walks', 'confined', 'to', 'a', 'slit', 'of', 'finite', 'width', 'and', 'interacting', 'with', 'the', 'walls', 'of', 'the', 'slit', 'via', 'an', 'attractive', 'potential', 'has', 'been', 'calculated', 'recently', 'the', 'walks', 'can', 'be', 'considered', 'to', 'model', 'the', 'polymerinduced', 'steric', 'stabilisation', 'and', 'sensitised', 'floculation', 'of', 'colloidal', 'dispersions', 'the', 'large', 'width', 'asymptotics', 'led', 'to', 'a', 'phase', 'diagram', 'different', 'to', 'that', 'of', 'a', 'polymer', 'attached', 'to', 'and', 'attracted', 'to', 'a', 'single', 'wall', 'the', 'question', 'that', 'arises', 'is', 'can', 'one', 'interpolate', 'between', 'the', 'single', 'wall', 'and', 'two', 'wall', 'cases', 'in', 'this', 'paper', 'we', 'calculate', 'the', 'exact', 'scaling', 'functions', 'for', 'the', 'partition', 'function', 'by', 'considering', 'the', 'two', 'variable', 'asymptotics', 'of', 'the', 'partition', 'function', 'for', 'simultaneous', 'large', 'length', 'and', 'large', 'width', 'consequently', 'we', 'find', 'the', 'scaling', 'functions', 'for', 'the', 'force', 'induced', 'by', 'the', 'polymer', 'on', 'the', 'walls', 'we', 'find', 'that', 'these', 'scaling', 'functions', 'are', 'given', 'by', 'elliptic', 'thetafunctions', 'in', 'some', 'parts', 'of', 'the', 'phase', 'diagram', 'there', 'is', 'more', 'a', 'complex', 'crossover', 'between', 'the', 'single', 'wall', 'and', 'two', 'wall', 'cases', 'and', 'we', 'elucidate', 'how', 'this', 'happens']] | [-0.14034342122492904, 0.16751837229141595, -0.0905229171418403, 0.04352115734463789, -0.053231842931602484, -0.1404602460249068, 0.04189867859764146, 0.3957135073576101, -0.2825821173382846, -0.2596977277708477, 0.06576411150941437, -0.2696728362404251, -0.1355524234275317, 0.16026880321941564, -0.000942943364205445, 0.049872316847164075, 0.010524317525746025, -0.00391317668409478, -0.059344198197930964, -0.17952599092703533, 0.3003772768913906, -0.022585308824021082, 0.27670793468408156, 0.11976250637454923, 0.08317537045789285, 0.015296831005115127, 0.02650738603121342, 0.065152725481893, -0.20147823214804933, 0.08943818097096487, 0.17671135062773397, -0.010111961730055996, 0.22534614767239997, -0.4264969568239448, -0.18647777041166844, 0.1363054135230166, 0.18771856305459458, 0.10744628228368402, -0.025702962293389486, -0.2489097924605453, 0.051609150952378495, -0.13410689418903998, -0.1485714099325857, -0.006073747969579679, 0.053963787434898186, 0.05752913843421541, -0.241731634672136, 0.0711017593179317, 0.012360174831425904, 0.015874278472637282, -0.028288226847443178, -0.0767594576212605, -0.018681995921972148, 0.16557177414390198, 0.06757842283075972, 0.04503430213680017, 0.11635585199799058, -0.17650576904533188, -0.08801644459399863, 0.3672775114947081, -0.04310970014435123, -0.23977769132064292, 0.20816044723091526, -0.17076032559150423, -0.08116989170777, 0.1396669896054991, 0.12806543274424398, 0.1064642980562512, -0.12777714173381144, 0.08468819463648972, -0.055702571365872075, 0.14497516500369573, 0.09039407229249383, -0.0228624213790003, 0.2154347128868544, 0.1391060490095051, 0.014909876167454575, 0.23591792826973365, -0.09192491425669713, -0.15084445506841296, -0.2790707296460382, -0.15399546505740055, -0.18848766511750129, 0.031153125082247355, -0.12747616195693384, -0.22482817682310852, 0.38855166831356885, 0.09060616382623654, 0.24039577901054768, 0.062032447547855724, 0.22983526210328178, 0.13210554955494122, 0.07840313791909073, 0.017505174893996066, 0.2218947536348208, 0.11659938124278506, 0.07809831160079335, -0.23551572030878587, 0.015218690577784234, 0.09625115648694557] |
709.3209 | Capillary-Driven Instability of Immiscible Fluid Interfaces Flowing in
Parallel in Porous Media | When immiscible wetting and non-wetting fluids move in parallel in a porous
medium, an instability may occur at sufficiently high capillary numbers so that
interfaces between the fluids initially held in place by the porous medium are
mobilized. A boundary zone containing bubbles of both fluids evolve which has a
well defined thickness. This zone moves at constant average speed towards the
non-wetting fluid. A diffusive current of bubbles of non-wetting fluid into the
wetting fluid is set up.
| cond-mat.dis-nn | when immiscible wetting and nonwetting fluids move in parallel in a porous medium an instability may occur at sufficiently high capillary numbers so that interfaces between the fluids initially held in place by the porous medium are mobilized a boundary zone containing bubbles of both fluids evolve which has a well defined thickness this zone moves at constant average speed towards the nonwetting fluid a diffusive current of bubbles of nonwetting fluid into the wetting fluid is set up | [['when', 'immiscible', 'wetting', 'and', 'nonwetting', 'fluids', 'move', 'in', 'parallel', 'in', 'a', 'porous', 'medium', 'an', 'instability', 'may', 'occur', 'at', 'sufficiently', 'high', 'capillary', 'numbers', 'so', 'that', 'interfaces', 'between', 'the', 'fluids', 'initially', 'held', 'in', 'place', 'by', 'the', 'porous', 'medium', 'are', 'mobilized', 'a', 'boundary', 'zone', 'containing', 'bubbles', 'of', 'both', 'fluids', 'evolve', 'which', 'has', 'a', 'well', 'defined', 'thickness', 'this', 'zone', 'moves', 'at', 'constant', 'average', 'speed', 'towards', 'the', 'nonwetting', 'fluid', 'a', 'diffusive', 'current', 'of', 'bubbles', 'of', 'nonwetting', 'fluid', 'into', 'the', 'wetting', 'fluid', 'is', 'set', 'up']] | [-0.18220178383296426, 0.30164210741939407, -0.09914179514103298, -0.06728174624658084, -0.020084366782957427, -0.1724217607627941, 0.030021303828475596, 0.3279730813412727, -0.2811923762252908, -0.28898311296737267, 0.054965544935563417, -0.2807064650792487, -0.03475831358257351, 0.09216320492280057, 0.001112892057467952, -0.00868390181066492, -0.004183435134731139, -0.06443889127289758, 0.047962845588998895, -0.18721771584470062, 0.26405821917460687, -0.020826978096149012, 0.2693018574692026, 0.08973785060681874, 0.10521373926673698, -0.11821111479090361, 0.06326547981522788, 0.13113789035219559, -0.22348212123941705, -0.054274571723528675, 0.25182680845189886, -0.10514266558486639, 0.2724084620234333, -0.5634372580702169, -0.29515730663308803, 0.007531734174589002, 0.16341543669777014, 0.11942805369131125, -0.0357095383791418, -0.24469549678666871, -0.02831208658746526, -0.11351237627323953, -0.1627195909548598, 0.06781718681884717, 0.0659737453790075, 0.03532734862234019, -0.19041097313283553, 0.12236872476177832, 0.06532297185121128, 0.06182178223057638, -0.09373007162438729, -0.055981773258292976, -0.10190558150599274, 0.08400604597335576, 0.052533990170075734, 0.03538398915029402, 0.26332407078080916, -0.20794686691281444, 0.05798515856643267, 0.4359022119182716, -0.04114654666708806, -0.21454988271469558, 0.2813499956421224, -0.17050408594946884, 0.02884353667827724, 0.2589864950108377, 0.24649410579306416, 0.1018420146318459, -0.07612078511719798, -0.007778630863810311, -0.06807447366764227, 0.10716085662605547, 0.20871285632653516, -0.14513316669772508, 0.2776339871195864, 0.25590356532189573, 0.04276314672801785, 0.15333517369095095, -0.06408687746682781, -0.13271965148941248, -0.2893789663875499, -0.23811517570969426, -0.14479267389713962, 0.0036842371278171296, -0.12229067226853428, -0.2240158065304726, 0.2522809794879978, 0.04904378012936751, 0.14402808496563496, 0.004614701961709446, 0.2709713769598446, -0.00040909857028665, -0.013201585130860345, 0.20201608311691427, 0.2944684275484915, 0.13735250830709275, 0.21075440662665457, -0.16278967346783868, 0.1105667324324103, 0.07840605390175612] |
709.321 | Diffractive paths for weak localization in quantum billiards | We study the weak localization effect in quantum transport through a clean
ballistic cavity with regular classical dynamics. We address the question which
paths account for the suppression of conductance through a system where
disorder and chaos are absent. By exploiting both quantum and semiclassical
methods, we unambiguously identify paths that are diffractively backscattered
into the cavity (when approaching the lead mouths from the cavity interior) to
play a key role. Diffractive scattering couples transmitted and reflected paths
and is thus essential to reproduce the weak-localization peak in reflection and
the corresponding anti-peak in transmission. A comparison of semiclassical
calculations featuring these diffractive paths yields good agreement with full
quantum calculations and experimental data. Our theory provides system-specific
predictions for the quantum regime of few open lead modes and can be expected
to be relevant also for mixed as well as chaotic systems.
| cond-mat.mes-hall | we study the weak localization effect in quantum transport through a clean ballistic cavity with regular classical dynamics we address the question which paths account for the suppression of conductance through a system where disorder and chaos are absent by exploiting both quantum and semiclassical methods we unambiguously identify paths that are diffractively backscattered into the cavity when approaching the lead mouths from the cavity interior to play a key role diffractive scattering couples transmitted and reflected paths and is thus essential to reproduce the weaklocalization peak in reflection and the corresponding antipeak in transmission a comparison of semiclassical calculations featuring these diffractive paths yields good agreement with full quantum calculations and experimental data our theory provides systemspecific predictions for the quantum regime of few open lead modes and can be expected to be relevant also for mixed as well as chaotic systems | [['we', 'study', 'the', 'weak', 'localization', 'effect', 'in', 'quantum', 'transport', 'through', 'a', 'clean', 'ballistic', 'cavity', 'with', 'regular', 'classical', 'dynamics', 'we', 'address', 'the', 'question', 'which', 'paths', 'account', 'for', 'the', 'suppression', 'of', 'conductance', 'through', 'a', 'system', 'where', 'disorder', 'and', 'chaos', 'are', 'absent', 'by', 'exploiting', 'both', 'quantum', 'and', 'semiclassical', 'methods', 'we', 'unambiguously', 'identify', 'paths', 'that', 'are', 'diffractively', 'backscattered', 'into', 'the', 'cavity', 'when', 'approaching', 'the', 'lead', 'mouths', 'from', 'the', 'cavity', 'interior', 'to', 'play', 'a', 'key', 'role', 'diffractive', 'scattering', 'couples', 'transmitted', 'and', 'reflected', 'paths', 'and', 'is', 'thus', 'essential', 'to', 'reproduce', 'the', 'weaklocalization', 'peak', 'in', 'reflection', 'and', 'the', 'corresponding', 'antipeak', 'in', 'transmission', 'a', 'comparison', 'of', 'semiclassical', 'calculations', 'featuring', 'these', 'diffractive', 'paths', 'yields', 'good', 'agreement', 'with', 'full', 'quantum', 'calculations', 'and', 'experimental', 'data', 'our', 'theory', 'provides', 'systemspecific', 'predictions', 'for', 'the', 'quantum', 'regime', 'of', 'few', 'open', 'lead', 'modes', 'and', 'can', 'be', 'expected', 'to', 'be', 'relevant', 'also', 'for', 'mixed', 'as', 'well', 'as', 'chaotic', 'systems']] | [-0.11122828668595611, 0.16465553746377998, -0.10167771367147774, 0.0800036027175993, -0.010945481352403865, -0.17305809206661435, 0.048074569558021384, 0.3533294706090868, -0.27424297003414144, -0.2599391366413736, 0.041984008073194565, -0.3142716838112036, -0.15374382484649915, 0.233805211000405, -0.006317381799168937, 0.07219444334806575, 0.09067946321728242, -0.011145837059557125, -0.004324249972074807, -0.15457171083499605, 0.2954038081080506, 0.05056489890415247, 0.2690103869002729, 0.0857668642501731, 0.04046081396396161, 0.05913237629863727, 0.0150742727391653, 0.040082633957735724, -0.12859908837388095, 0.08006473937905491, 0.2638426082325982, 0.008620681009952214, 0.1923638069676561, -0.47027060157665007, -0.21524914138025597, 0.04192139091738663, 0.1819551898442515, 0.16433441499166737, -0.0535866348007759, -0.282181427390738, 0.06516049779590115, -0.11328420647537218, -0.11903626627086863, -0.08445277279145182, -0.04890957263369973, -0.007124839931843685, -0.26221845276862177, 0.09725098973290727, 0.03494437419975476, 0.022624023804840816, -0.02664377503715768, -0.03301923210696819, -0.003981272263413335, 0.1606857170136336, 0.0028710838560327577, 0.010534281171597801, 0.12921071362557945, -0.12019996497929877, -0.1312604361112796, 0.400616326053477, -0.05691563790595693, -0.14854466240084568, 0.17123104302355877, -0.1644741224354602, -0.04325753600512455, 0.1641563810212733, 0.13725630064996389, 0.0601394939150049, -0.12616701164802657, 0.05922037558149794, -0.009335847913411322, 0.14289136126334617, 0.06273819039855803, 0.14098259370558908, 0.2468427673708387, 0.16670625765443212, 0.0026680971984263066, 0.12082540616230271, -0.09945834480499575, -0.15980992058676283, -0.3188610139817416, -0.14125993443710788, -0.14001513663288598, 0.0714414458938832, -0.07080079260425906, -0.165869375456359, 0.37170535951919553, 0.1757157290451248, 0.2159948707989684, 0.009089701046183757, 0.29048695130000163, 0.1598849780849422, 0.04169667469194302, 0.04525070210879708, 0.2637333457563333, 0.17122808217487812, 0.07557692082134365, -0.2794636682862859, 0.0582243365893414, 0.00310689899695946] |
709.3211 | Inflationary Hubble Parameter from the Gravitational Wave Spectrum in
the General Slow-roll Approximation | Improved general slow-roll formulae giving the primordial gravitational wave
spectrum are derived in the present work. Also the first and second order
general slow-roll inverse formulae giving the Hubble parameter $H$ in terms of
the gravitational wave spectrum are derived. Moreover, the general slow-roll
consistency condition relating the scalar and tensor spectra is obtained.
| astro-ph | improved general slowroll formulae giving the primordial gravitational wave spectrum are derived in the present work also the first and second order general slowroll inverse formulae giving the hubble parameter h in terms of the gravitational wave spectrum are derived moreover the general slowroll consistency condition relating the scalar and tensor spectra is obtained | [['improved', 'general', 'slowroll', 'formulae', 'giving', 'the', 'primordial', 'gravitational', 'wave', 'spectrum', 'are', 'derived', 'in', 'the', 'present', 'work', 'also', 'the', 'first', 'and', 'second', 'order', 'general', 'slowroll', 'inverse', 'formulae', 'giving', 'the', 'hubble', 'parameter', 'h', 'in', 'terms', 'of', 'the', 'gravitational', 'wave', 'spectrum', 'are', 'derived', 'moreover', 'the', 'general', 'slowroll', 'consistency', 'condition', 'relating', 'the', 'scalar', 'and', 'tensor', 'spectra', 'is', 'obtained']] | [-0.17254821269738455, 0.1338305606011461, -0.06590350751799566, 0.14955272433494596, -0.1494502584553427, -0.10503512589881818, -0.08724063289614774, 0.25101828211228605, -0.17306951912016505, -0.2816813476383686, 0.0655619546132921, -0.1781934999205448, -0.1442126491865902, 0.1857139455947887, 0.03258630333261357, 0.08045444323646801, 0.02092539086394633, 0.0458482541079219, -0.0868634355030264, -0.24866081046423427, 0.3759550005887394, 0.11561062343901506, 0.1989449930584265, 0.012763333299921619, 0.025133387875501758, -0.04799930047226587, -0.07695020842193454, -0.015898389120896656, -0.2543169444219934, 0.11254150541154323, 0.16171040115188118, 0.1595710066354109, 0.1426552529964182, -0.41158979175681315, -0.22761518418512963, 0.1306143662098933, 0.13073413910482218, 0.1398714586954426, 0.02596774700753115, -0.32547364687478103, 0.047504514179847857, -0.18282253313938984, -0.11907236626440729, -0.11158351814029394, 0.006181197344428963, -0.03980814912183969, -0.3235806473013427, 0.15429122323392355, 0.014130617422914063, -0.02703135588240844, -0.12046945449482235, -0.07789481811751439, -0.013787338027247676, 0.054684991361918275, 0.10814333487629753, 0.010708649979076452, 0.07907494937104208, -0.13010865419723647, -0.014032648895711949, 0.4143669138559037, -0.15556078101723902, -0.11930511308902944, 0.01798139439240374, -0.19698501523170206, -0.1453588061310627, 0.11300322507439112, 0.07893511587408958, 0.127260224238314, -0.1511203665631237, 0.19116353487414825, 0.05901609229288254, 0.07633246465034231, 0.1691207748113407, 0.07289525675824499, 0.18766245789205035, -0.01290612445316381, 0.025038810050183977, 0.1625769652115802, -0.0559277204727685, -0.05119254352110955, -0.4397678568407341, -0.08089143967393923, -0.18557129649410922, 0.007795914496118376, -0.2224931244870984, -0.1778144226581962, 0.44381579849869013, 0.08090504058809192, 0.13276794675362502, 0.16049969686126267, 0.3119638464930985, 0.2577885751207187, -0.037802813456100585, 0.027343793720420864, 0.3774876176310634, 0.21087558591669356, 0.1601034374621964, -0.18270593297428503, -0.007399381293604772, 0.122925597846646] |
709.3212 | Electrostatic trapping of metastable NH molecules | We report on the Stark deceleration and electrostatic trapping of $^{14}$NH
($a ^1\Delta$) radicals. In the trap, the molecules are excited on the
spin-forbidden $A ^3\Pi \leftarrow a ^1\Delta$ transition and detected via
their subsequent fluorescence to the $X ^3\Sigma^-$ ground state. The 1/e
trapping time is 1.4 $\pm$ 0.1 s, from which a lower limit of 2.7 s for the
radiative lifetime of the $a ^1\Delta, v=0,J=2$ state is deduced. The spectral
profile of the molecules in the trapping field is measured to probe their
spatial distribution. Electrostatic trapping of metastable NH followed by
optical pumping of the trapped molecules to the electronic ground state is an
important step towards accumulation of these radicals in a magnetic trap.
| physics.atom-ph physics.chem-ph | we report on the stark deceleration and electrostatic trapping of 14nh a 1delta radicals in the trap the molecules are excited on the spinforbidden a 3pi leftarrow a 1delta transition and detected via their subsequent fluorescence to the x 3sigma ground state the 1e trapping time is 14 pm 01 s from which a lower limit of 27 s for the radiative lifetime of the a 1delta v0j2 state is deduced the spectral profile of the molecules in the trapping field is measured to probe their spatial distribution electrostatic trapping of metastable nh followed by optical pumping of the trapped molecules to the electronic ground state is an important step towards accumulation of these radicals in a magnetic trap | [['we', 'report', 'on', 'the', 'stark', 'deceleration', 'and', 'electrostatic', 'trapping', 'of', '14nh', 'a', '1delta', 'radicals', 'in', 'the', 'trap', 'the', 'molecules', 'are', 'excited', 'on', 'the', 'spinforbidden', 'a', '3pi', 'leftarrow', 'a', '1delta', 'transition', 'and', 'detected', 'via', 'their', 'subsequent', 'fluorescence', 'to', 'the', 'x', '3sigma', 'ground', 'state', 'the', '1e', 'trapping', 'time', 'is', '14', 'pm', '01', 's', 'from', 'which', 'a', 'lower', 'limit', 'of', '27', 's', 'for', 'the', 'radiative', 'lifetime', 'of', 'the', 'a', '1delta', 'v0j2', 'state', 'is', 'deduced', 'the', 'spectral', 'profile', 'of', 'the', 'molecules', 'in', 'the', 'trapping', 'field', 'is', 'measured', 'to', 'probe', 'their', 'spatial', 'distribution', 'electrostatic', 'trapping', 'of', 'metastable', 'nh', 'followed', 'by', 'optical', 'pumping', 'of', 'the', 'trapped', 'molecules', 'to', 'the', 'electronic', 'ground', 'state', 'is', 'an', 'important', 'step', 'towards', 'accumulation', 'of', 'these', 'radicals', 'in', 'a', 'magnetic', 'trap']] | [-0.13494636683124986, 0.21525073963944047, -0.02631025359634373, 0.022433577474380323, 0.0748011570333077, -0.12338207521617918, 0.105747449180206, 0.399099538102746, -0.21766285318486644, -0.28545547594016385, 0.04008927566918813, -0.28819641830810044, 0.04369280980781542, 0.13268909596254008, 0.05673833032314934, 0.025135485960456238, 0.010059082541235928, 0.018764699940467096, -0.0046636892938433944, -0.15823918256624522, 0.2311091549078918, 0.05684667062685209, 0.2125223728559785, 0.07777506797337684, 0.07724504014013446, -0.06796430947922044, 0.08935170931646884, -0.08901732683308043, -0.15406964736905784, 0.1209037636201513, 0.19364802716931295, 0.03239253094771056, 0.23580457248046235, -0.4315417693233338, -0.17580034824924828, 0.11094819874921025, 0.16517022119882374, 0.159982423362188, -0.04767525165886381, -0.33919300227347066, -0.031115100610511915, -0.10586609341346233, -0.15512157935586016, -0.02859734574932668, 0.08905081842114392, 0.026414931305857786, -0.25842595053047446, 0.10307131232733255, 0.038337542791850865, 0.07687790101488769, -0.12436806849772268, -0.132545395912129, -0.047576106165267404, 0.061857652623537866, -0.028789126322115378, 0.08642604649935107, 0.19819192537027647, -0.12062191889400325, -0.0733762305156896, 0.36268630369676874, -0.13595142738767346, -0.06931098198549727, 0.1455347411397655, -0.21617853222020222, -0.07384823688100707, 0.2546058871262407, 0.10577375713762456, 0.14295464531534305, -0.09813468165743022, 0.05807409617730211, 0.01550323263173765, 0.19733538466774053, 0.08323555340658936, 0.05713753734115448, 0.19773239317208025, 0.14108360257153635, 0.06465507709515929, 0.13620231259057802, -0.20505361385659268, -0.03007070510253563, -0.2513438461435233, -0.17835575653250196, -0.21913967075189417, 0.1125054811561575, -0.046980434329933644, -0.11821459004481844, 0.3826669854530275, 0.06436299049626973, 0.21679728839672724, -0.038473249498904696, 0.27782340802773203, 0.14516584538475816, 0.00645840829790775, 0.009399266737923658, 0.2785195858391412, 0.149957177136488, 0.07807019838305601, -0.31769337780355333, 0.07628190165022546, 0.02787269653961599] |
709.3213 | Neutral Current $\pi^0$ Production in MiniBooNE | This paper describes the analysis used to determine the neutral current
$\pi^0$ production in MiniBooNE in bins of momentum. Additionally, a
measurement of the relative coherent production of $\pi^0$s is discussed. The
coherent production rate is found to be (19.5 $\pm$1.1 (stat) $\pm$2.5 (sys))%
of the total exclusive neutral current $\pi^0$ production rate.
| hep-ex | this paper describes the analysis used to determine the neutral current pi0 production in miniboone in bins of momentum additionally a measurement of the relative coherent production of pi0s is discussed the coherent production rate is found to be 195 pm11 stat pm25 sys of the total exclusive neutral current pi0 production rate | [['this', 'paper', 'describes', 'the', 'analysis', 'used', 'to', 'determine', 'the', 'neutral', 'current', 'pi0', 'production', 'in', 'miniboone', 'in', 'bins', 'of', 'momentum', 'additionally', 'a', 'measurement', 'of', 'the', 'relative', 'coherent', 'production', 'of', 'pi0s', 'is', 'discussed', 'the', 'coherent', 'production', 'rate', 'is', 'found', 'to', 'be', '195', 'pm11', 'stat', 'pm25', 'sys', 'of', 'the', 'total', 'exclusive', 'neutral', 'current', 'pi0', 'production', 'rate']] | [-0.0940144864033978, 0.21788558369186126, -0.029727385221224912, 0.10538257893289106, 0.05515160204245234, -0.05486282099143795, 0.05018985252344173, 0.2644589517335847, -0.2097774231015652, -0.25171999977725856, -0.052988882743279044, -0.3967158149681845, 0.08803779436802527, 0.1694493406223801, -0.005059647180561749, 0.0842153987899985, 0.08195874416532944, 0.003628900828156269, -0.017337407389620564, -0.18215898620316162, 0.2401367887011114, 0.134128371728057, 0.3622965131587577, 0.13412327797345394, 0.04033323646224332, 0.05219005631669512, -0.17090286834183027, -0.07562016224804914, -0.1743964754080154, 0.1370069377897483, 0.2855859137368652, 0.10250984331733494, 0.08402596114484488, -0.2711334710694709, -0.04141156273489853, 0.1753383613771425, 0.17470490120742294, 0.053579266257759814, -0.02862225423725146, -0.268128476052914, 0.11255138513263103, -0.2463941380803315, -0.0638611620502933, 0.01599168429537764, 0.05161398104479853, -0.046158600958802226, -0.3332848226967848, 0.2126098619773984, -0.09661902949795509, 0.024515782109514443, -0.07513361109666666, -0.166201230665704, -0.059514004728352686, 0.01658090654725455, 0.12037711756585061, 0.1421335176389032, 0.22447850091277427, -0.11900670460495606, -0.18149047402911028, 0.3810909897932466, -0.0955189721535821, -0.1773532466339123, 0.092942319318371, -0.23143614660772793, -0.11106348452421855, 0.20645816934751873, 0.24652916776402942, 0.06715726291866235, -0.2726415904801128, 0.005506951397038855, -0.016560132105676632, 0.2358028616510191, 0.08709277166932258, 0.04128049765625652, 0.16672718515734952, 0.2153321579450144, -0.016365628302940784, 0.03411800577524909, -0.1743016704776377, -0.05978382809772947, -0.36274556859554546, -0.20938702482941016, 0.02269658695836112, 0.13859465178146185, 0.026467560355569113, -0.044485569105676886, 0.3422320317301267, 0.10708851355813304, 0.29202053005332657, -0.059665125460838374, 0.3356068042932816, 0.13861394114353043, -0.010010130387151017, 0.05616855371813729, 0.34916497225750165, 0.21521789408376757, 0.17357319104924518, -0.24342179319487428, 0.10096040584217265, -0.02475594098785154] |
709.3214 | Hard spectator interactions in B to pi pi at order alpha_s^2 | I compute the hard spectator interaction amplitude in $B\to\pi\pi$ at NLO
i.e. at O(\alpha_s^2). This special part of the amplitude, whose LO starts at
O(\alpha_s), is defined in the framework of QCD factorization. QCD
factorization allows to separate the short- and the long-distance physics in
leading power in an expansion in $\lqcd/m_b$, where the short-distance physics
can be calculated in a perturbative expansion in $\alpha_s$.
In this calculation it is necessary to obtain an expansion of Feynman
integrals in powers of $\Lambda_\text{QCD}/m_b$. I will present a general
method to obtain this expansion in a systematic way once the leading power is
given as an input. This method is based on differential equation techniques and
easy to implement in a computer algebra system.
The numerical impact on amplitudes and branching ratios is considered. The
NLO contributions of the hard spectator interactions are important but small
enough for perturbation theory to be valid.
| hep-ph | i compute the hard spectator interaction amplitude in btopipi at nlo ie at oalpha_s2 this special part of the amplitude whose lo starts at oalpha_s is defined in the framework of qcd factorization qcd factorization allows to separate the short and the longdistance physics in leading power in an expansion in lqcdm_b where the shortdistance physics can be calculated in a perturbative expansion in alpha_s in this calculation it is necessary to obtain an expansion of feynman integrals in powers of lambda_textqcdm_b i will present a general method to obtain this expansion in a systematic way once the leading power is given as an input this method is based on differential equation techniques and easy to implement in a computer algebra system the numerical impact on amplitudes and branching ratios is considered the nlo contributions of the hard spectator interactions are important but small enough for perturbation theory to be valid | [['i', 'compute', 'the', 'hard', 'spectator', 'interaction', 'amplitude', 'in', 'btopipi', 'at', 'nlo', 'ie', 'at', 'oalpha_s2', 'this', 'special', 'part', 'of', 'the', 'amplitude', 'whose', 'lo', 'starts', 'at', 'oalpha_s', 'is', 'defined', 'in', 'the', 'framework', 'of', 'qcd', 'factorization', 'qcd', 'factorization', 'allows', 'to', 'separate', 'the', 'short', 'and', 'the', 'longdistance', 'physics', 'in', 'leading', 'power', 'in', 'an', 'expansion', 'in', 'lqcdm_b', 'where', 'the', 'shortdistance', 'physics', 'can', 'be', 'calculated', 'in', 'a', 'perturbative', 'expansion', 'in', 'alpha_s', 'in', 'this', 'calculation', 'it', 'is', 'necessary', 'to', 'obtain', 'an', 'expansion', 'of', 'feynman', 'integrals', 'in', 'powers', 'of', 'lambda_textqcdm_b', 'i', 'will', 'present', 'a', 'general', 'method', 'to', 'obtain', 'this', 'expansion', 'in', 'a', 'systematic', 'way', 'once', 'the', 'leading', 'power', 'is', 'given', 'as', 'an', 'input', 'this', 'method', 'is', 'based', 'on', 'differential', 'equation', 'techniques', 'and', 'easy', 'to', 'implement', 'in', 'a', 'computer', 'algebra', 'system', 'the', 'numerical', 'impact', 'on', 'amplitudes', 'and', 'branching', 'ratios', 'is', 'considered', 'the', 'nlo', 'contributions', 'of', 'the', 'hard', 'spectator', 'interactions', 'are', 'important', 'but', 'small', 'enough', 'for', 'perturbation', 'theory', 'to', 'be', 'valid']] | [-0.11076469116883042, 0.131945527557109, -0.15290903476881795, 0.08316696679918095, -0.059052200879280765, -0.074336480240648, -0.006638033154110114, 0.33768858612825475, -0.24638574272394181, -0.22377864480018617, 0.05455135515037303, -0.27082535634758337, -0.08886339808503786, 0.13738304401747883, 0.005399475545467188, 0.054444505122179784, 0.03766285079220931, 0.048151326479079826, -0.05037022569372008, -0.21984363361572226, 0.2917415616218932, 0.05655674078812202, 0.20258394778706135, 0.13657505685773988, 0.04926686353981495, 0.019406715615962942, -0.07758929513084392, -0.03185780274371306, -0.09941442790130774, 0.07989668162539601, 0.290034772400201, 0.04436151464780172, 0.2071119824067379, -0.4007113545760512, -0.0897964903091391, 0.04201135863239566, 0.1800059142196551, 0.14488499447082478, 0.0294358506721134, -0.20165212783962488, 0.06874188892232876, -0.2368830106034875, -0.13597687263662617, -0.14798609678323071, 0.036343930568546054, -0.055875860638916496, -0.34536436370263496, 0.061737411565457784, -0.021586611419916153, -0.018365944226582845, 0.03860801297356375, -0.1163473085515822, 0.058300862352674204, 0.10177958007591466, 0.05408595580452432, 0.0834670200245455, 0.07890152121583621, -0.18118157667883983, -0.12330462137858073, 0.43463344356510786, -0.06376013665692881, -0.18275671979567656, 0.09494780043605715, -0.18217873193944495, -0.1870786050117264, 0.15481769825409478, 0.20441064623029281, 0.13463202913233543, -0.16603353889659048, 0.15553296416571052, 0.06585863532498479, 0.15714710047313324, 0.05593366079032421, 0.011962328536513573, 0.15196429820731283, 0.13520426392089577, -0.012147452694674333, 0.1189984703824545, -0.014754652808187529, -0.11217681103696425, -0.40751040720070403, -0.08104465507591764, -0.14289615280926227, 0.06871471260053416, -0.12833294706390005, -0.19138527903705835, 0.3698720116789142, 0.16042401297638814, 0.20499256218162676, 0.033258224441669884, 0.36172291630258163, 0.18732813351244354, 0.08562226248905062, 0.06582474032727381, 0.28011091249451664, 0.1568479278869927, 0.11978530776221305, -0.21936475024946656, 0.03600841913682719, 0.12670006563324326] |
709.3215 | Infinitely divisible distributions over locally compact non-archimedean
fields | The article is devoted to stochastic processes with values in
finite-dimensional vector spaces over infinite locally compact fields with
non-trivial non-archimedean valuations. Infinitely divisible distributions are
investigated. Theorems about their characteristic functionals are proved.
Particular cases are demonstrated.
| math.PR math.AC | the article is devoted to stochastic processes with values in finitedimensional vector spaces over infinite locally compact fields with nontrivial nonarchimedean valuations infinitely divisible distributions are investigated theorems about their characteristic functionals are proved particular cases are demonstrated | [['the', 'article', 'is', 'devoted', 'to', 'stochastic', 'processes', 'with', 'values', 'in', 'finitedimensional', 'vector', 'spaces', 'over', 'infinite', 'locally', 'compact', 'fields', 'with', 'nontrivial', 'nonarchimedean', 'valuations', 'infinitely', 'divisible', 'distributions', 'are', 'investigated', 'theorems', 'about', 'their', 'characteristic', 'functionals', 'are', 'proved', 'particular', 'cases', 'are', 'demonstrated']] | [-0.17851908237820394, 0.14506602478458694, -0.08274067034577265, 0.14955323107699914, -0.07114252840217791, -0.11778058587132316, -0.08832184775536389, 0.4428768859882104, -0.2844453993326935, -0.16324283810038315, 0.0767442794289979, -0.25303841509709235, -0.10190362017601728, 0.2826070057559072, -0.1159005639584441, 0.05154116602199409, -0.019351808819919825, 0.08413005860424355, -0.06830115812389474, -0.3886561908416058, 0.407502224497301, -0.06778960349038243, 0.25287036995991674, -0.00024142778037410033, 0.15666447843939654, 0.011088240996239045, -0.09964680166204314, 0.007602129183971173, -0.1637160014361143, 0.10267370730932605, 0.417132689507286, -0.03006804303119057, 0.30994054703286994, -0.38338059691810294, -0.21477513868165643, 0.26649410924629163, 0.07607803891924529, -0.022343980319994062, -0.004335100499079808, -0.3130632261255462, 0.1383027537284713, -0.11854543056535094, -0.17199009480445007, -0.1817924107277864, 0.08867338474986977, 0.12100299205140848, -0.2682899345067869, 0.014036287921235749, 0.12522256866060688, 0.13616983639076352, -0.12945002580894843, -0.17200158774166516, -0.025760639471148972, 0.022748098488112812, 0.10259955383126478, -0.012549650800218316, 0.1062527294760864, -0.033256593086805786, -0.16735205719688614, 0.28389580256158586, -0.007429142396799044, -0.2783881731233315, 0.18152951240833654, -0.20850033317937663, -0.14050277269837497, 0.1650034238241221, 0.1486083675960177, 0.20783999106405596, -0.11021838846959565, 0.26219462289621953, -0.08106459618399017, 0.024056683196441123, 0.09547431302550984, 0.09579405396882641, 0.13921841637133375, 0.026268430783315318, 0.09948446906453587, 0.13228594046086073, 0.09547114685962074, -0.19992130777130737, -0.33005393855273724, -0.08242382790194824, -0.12710584015708024, 0.13978634010020055, -0.07814283704532213, -0.19531162540232272, 0.3147417309228331, 0.02629754387798082, 0.10491972044110298, 0.14730554809303661, 0.16807218846914015, 0.13097421740990525, -0.020530568968847786, 0.12205062715924885, 0.09947021266347483, 0.2977238374909288, 0.0022126854195161478, 0.033787617398622, 0.04404665206215883, 0.09235799147159253] |
709.3216 | Curvature-coupling dependence of membrane protein diffusion coefficients | We consider the lateral diffusion of a protein interacting with the curvature
of the membrane. The interaction energy is minimized if the particle is at a
membrane position with a certain curvature that agrees with the spontaneous
curvature of the particle. We employ stochastic simulations that take into
account both the thermal fluctuations of the membrane and the diffusive
behavior of the particle. In this study we neglect the influence of the
particle on the membrane dynamics, thus the membrane dynamics agrees with that
of a freely fluctuating membrane. Overall, we find that this curvature-coupling
substantially enhances the diffusion coefficient. We compare the ratio of the
projected or measured diffusion coefficient and the free intramembrane
diffusion coefficient, which is a parameter of the simulations, with analytical
results that rely on several approximations. We find that the simulations
always lead to a somewhat smaller diffusion coefficient than our analytical
approach. A detailed study of the correlations of the forces acting on the
particle indicates that the diffusing inclusion tries to follow favorable
positions on the membrane, such that forces along the trajectory are on average
smaller than they would be for random particle positions.
| cond-mat.soft cond-mat.stat-mech | we consider the lateral diffusion of a protein interacting with the curvature of the membrane the interaction energy is minimized if the particle is at a membrane position with a certain curvature that agrees with the spontaneous curvature of the particle we employ stochastic simulations that take into account both the thermal fluctuations of the membrane and the diffusive behavior of the particle in this study we neglect the influence of the particle on the membrane dynamics thus the membrane dynamics agrees with that of a freely fluctuating membrane overall we find that this curvaturecoupling substantially enhances the diffusion coefficient we compare the ratio of the projected or measured diffusion coefficient and the free intramembrane diffusion coefficient which is a parameter of the simulations with analytical results that rely on several approximations we find that the simulations always lead to a somewhat smaller diffusion coefficient than our analytical approach a detailed study of the correlations of the forces acting on the particle indicates that the diffusing inclusion tries to follow favorable positions on the membrane such that forces along the trajectory are on average smaller than they would be for random particle positions | [['we', 'consider', 'the', 'lateral', 'diffusion', 'of', 'a', 'protein', 'interacting', 'with', 'the', 'curvature', 'of', 'the', 'membrane', 'the', 'interaction', 'energy', 'is', 'minimized', 'if', 'the', 'particle', 'is', 'at', 'a', 'membrane', 'position', 'with', 'a', 'certain', 'curvature', 'that', 'agrees', 'with', 'the', 'spontaneous', 'curvature', 'of', 'the', 'particle', 'we', 'employ', 'stochastic', 'simulations', 'that', 'take', 'into', 'account', 'both', 'the', 'thermal', 'fluctuations', 'of', 'the', 'membrane', 'and', 'the', 'diffusive', 'behavior', 'of', 'the', 'particle', 'in', 'this', 'study', 'we', 'neglect', 'the', 'influence', 'of', 'the', 'particle', 'on', 'the', 'membrane', 'dynamics', 'thus', 'the', 'membrane', 'dynamics', 'agrees', 'with', 'that', 'of', 'a', 'freely', 'fluctuating', 'membrane', 'overall', 'we', 'find', 'that', 'this', 'curvaturecoupling', 'substantially', 'enhances', 'the', 'diffusion', 'coefficient', 'we', 'compare', 'the', 'ratio', 'of', 'the', 'projected', 'or', 'measured', 'diffusion', 'coefficient', 'and', 'the', 'free', 'intramembrane', 'diffusion', 'coefficient', 'which', 'is', 'a', 'parameter', 'of', 'the', 'simulations', 'with', 'analytical', 'results', 'that', 'rely', 'on', 'several', 'approximations', 'we', 'find', 'that', 'the', 'simulations', 'always', 'lead', 'to', 'a', 'somewhat', 'smaller', 'diffusion', 'coefficient', 'than', 'our', 'analytical', 'approach', 'a', 'detailed', 'study', 'of', 'the', 'correlations', 'of', 'the', 'forces', 'acting', 'on', 'the', 'particle', 'indicates', 'that', 'the', 'diffusing', 'inclusion', 'tries', 'to', 'follow', 'favorable', 'positions', 'on', 'the', 'membrane', 'such', 'that', 'forces', 'along', 'the', 'trajectory', 'are', 'on', 'average', 'smaller', 'than', 'they', 'would', 'be', 'for', 'random', 'particle', 'positions']] | [-0.11793156005781687, 0.16765435771715906, -0.09279303811490536, 0.027462326511037343, -0.027143531568678252, -0.09859390122195084, -0.01676874275775238, 0.3577230084920302, -0.24783439679595176, -0.25678080328119296, 0.04488403351751913, -0.30391221457709133, -0.14598574107246046, 0.17237848846464962, 0.012263720813886417, -0.01538837306725327, 0.07100557553470328, 0.0627867369427501, -0.021802706255887944, -0.15680135512108487, 0.2944903244303229, 0.10203420770752321, 0.26116277566567686, 0.09101226323643156, 0.12762682566729686, 0.0038063829524617177, -0.01530624869580303, 0.08039798559912015, -0.1965938728162655, 0.10735220027345349, 0.10453486900132702, 0.00502575321055095, 0.24309927319700364, -0.46520292917072464, -0.24784321410576618, 0.08603590469071302, 0.14652776515125274, 0.14069931479692363, -0.04481635816227936, 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709.3217 | Disconnected contributions to hadronic structure: a new method for
stochastic noise reduction | We present a new method for reducing the stochastic noise of all-to-all
propagators based on stopping the inversion of the propagator before
convergence. The method is easy to implement, unbiased and independent of the
quark action. Applying this method to the calculation of disconnected loops
needed for hadronic structure observables we find savings in computer time of
factors of 4-12 depending on the operator inserted in the loop. When combined
with a hopping parameter expansion technique we obtain combined gains of up to
factors of 30 for some operators.
| hep-lat | we present a new method for reducing the stochastic noise of alltoall propagators based on stopping the inversion of the propagator before convergence the method is easy to implement unbiased and independent of the quark action applying this method to the calculation of disconnected loops needed for hadronic structure observables we find savings in computer time of factors of 412 depending on the operator inserted in the loop when combined with a hopping parameter expansion technique we obtain combined gains of up to factors of 30 for some operators | [['we', 'present', 'a', 'new', 'method', 'for', 'reducing', 'the', 'stochastic', 'noise', 'of', 'alltoall', 'propagators', 'based', 'on', 'stopping', 'the', 'inversion', 'of', 'the', 'propagator', 'before', 'convergence', 'the', 'method', 'is', 'easy', 'to', 'implement', 'unbiased', 'and', 'independent', 'of', 'the', 'quark', 'action', 'applying', 'this', 'method', 'to', 'the', 'calculation', 'of', 'disconnected', 'loops', 'needed', 'for', 'hadronic', 'structure', 'observables', 'we', 'find', 'savings', 'in', 'computer', 'time', 'of', 'factors', 'of', '412', 'depending', 'on', 'the', 'operator', 'inserted', 'in', 'the', 'loop', 'when', 'combined', 'with', 'a', 'hopping', 'parameter', 'expansion', 'technique', 'we', 'obtain', 'combined', 'gains', 'of', 'up', 'to', 'factors', 'of', '30', 'for', 'some', 'operators']] | [-0.1058081527648682, 0.13058000970684158, -0.11100673125115003, 0.05500754460252905, -0.06027153778946801, -0.09502115765628352, 0.13886045449769147, 0.3828369153851873, -0.21837911229538784, -0.28609543429750406, 0.09387055445682216, -0.23366544856114335, -0.10504311492164316, 0.1928257935502556, -0.00271983810941155, 0.061769942478329114, 0.08642092279127139, 0.034092158926755524, -0.1130998833732826, -0.2645605660613961, 0.30008444918863725, 0.05506424006242096, 0.22890812757142473, 0.0742457231109062, 0.12434091243573747, 0.009964998481857978, -0.0831942649432615, -0.006834024668074726, -0.0851395981846733, 0.12542480850733523, 0.17088087678172761, 0.07943402884292267, 0.2388847529746885, -0.4233611629375916, -0.14650631947913784, 0.06568503700552529, 0.1583760953975941, 0.12297851522191522, -0.013921453782325883, -0.2415897308880191, 0.0695894318475817, -0.1831040530455079, -0.1333677408630761, -0.1359856958537666, -0.013904385975028357, -0.02201833473413848, -0.35725859138235616, 0.09107679006606968, -0.01422138742349121, 0.03439940144883448, -0.02319159172475338, -0.15039887696797594, 0.049837153635165665, 0.15262046566637222, 0.05211860293867799, 0.02962895789382498, 0.11129384084182511, -0.12408271157496682, -0.1308361499601703, 0.35162933854114137, -0.07759445174754168, -0.21194169773939955, 0.11016381349090194, -0.14002565303922035, -0.14309761136393534, 0.1474247569704868, 0.19164910562744553, 0.1354248695222012, -0.17036436985817796, 0.09496131982965646, 0.041745622495838096, 0.1508248880338133, 0.05316355328985982, 0.012402050165731586, 0.07047356767684557, 0.15936048995190708, 0.09430454561507769, 0.17025426630809737, -0.051542545203119516, -0.1129200171490901, -0.33347415303670164, -0.12506669676035978, -0.1440081490057238, 0.04486158128116238, -0.15516077982718937, -0.18797296850701398, 0.42164142567957386, 0.19269587178034395, 0.19667003353733276, 0.028779313962362454, 0.31701843208225255, 0.1503346981637682, 0.1165154596602314, 0.09556358458809136, 0.19799605726291886, 0.15976830524996738, 0.08739256473216281, -0.281635985364405, 0.0029146053901549134, 0.11114017783730877] |
709.3218 | Positivity of Chern Classes for Reflexive Sheaves on P^N | It is well known that the Chern classes $c_i$ of a rank $n$ vector bundle on
$\PP^N$, generated by global sections, are non-negative if $i\leq n$ and vanish
otherwise. This paper deals with the following question: does the above result
hold for the wider class of reflexive sheaves? We show that the Chern numbers
$c_i$ with $i\geq 4$ can be arbitrarily negative for reflexive sheaves of any
rank; on the contrary for $i\leq 3$ we show positivity of the $c_i$ with weaker
hypothesis. We obtain lower bounds for $c_1$, $c_2$ and $c_3$ for every
reflexive sheaf $\FF$ which is generated by $H^0\FF$ on some non-empty open
subset and completely classify sheaves for which either of them reach the
minimum allowed, or some value close to it.
| math.AG | it is well known that the chern classes c_i of a rank n vector bundle on ppn generated by global sections are nonnegative if ileq n and vanish otherwise this paper deals with the following question does the above result hold for the wider class of reflexive sheaves we show that the chern numbers c_i with igeq 4 can be arbitrarily negative for reflexive sheaves of any rank on the contrary for ileq 3 we show positivity of the c_i with weaker hypothesis we obtain lower bounds for c_1 c_2 and c_3 for every reflexive sheaf ff which is generated by h0ff on some nonempty open subset and completely classify sheaves for which either of them reach the minimum allowed or some value close to it | [['it', 'is', 'well', 'known', 'that', 'the', 'chern', 'classes', 'c_i', 'of', 'a', 'rank', 'n', 'vector', 'bundle', 'on', 'ppn', 'generated', 'by', 'global', 'sections', 'are', 'nonnegative', 'if', 'ileq', 'n', 'and', 'vanish', 'otherwise', 'this', 'paper', 'deals', 'with', 'the', 'following', 'question', 'does', 'the', 'above', 'result', 'hold', 'for', 'the', 'wider', 'class', 'of', 'reflexive', 'sheaves', 'we', 'show', 'that', 'the', 'chern', 'numbers', 'c_i', 'with', 'igeq', '4', 'can', 'be', 'arbitrarily', 'negative', 'for', 'reflexive', 'sheaves', 'of', 'any', 'rank', 'on', 'the', 'contrary', 'for', 'ileq', '3', 'we', 'show', 'positivity', 'of', 'the', 'c_i', 'with', 'weaker', 'hypothesis', 'we', 'obtain', 'lower', 'bounds', 'for', 'c_1', 'c_2', 'and', 'c_3', 'for', 'every', 'reflexive', 'sheaf', 'ff', 'which', 'is', 'generated', 'by', 'h0ff', 'on', 'some', 'nonempty', 'open', 'subset', 'and', 'completely', 'classify', 'sheaves', 'for', 'which', 'either', 'of', 'them', 'reach', 'the', 'minimum', 'allowed', 'or', 'some', 'value', 'close', 'to', 'it']] | [-0.18000150914303958, 0.15958548749983312, 0.022356411285698412, 0.043374639709480106, -0.05007958541810512, -0.24757428964599967, 0.018411818110384046, 0.37127299902401867, -0.3051302868947387, -0.20607079798728228, 0.12355932874046266, -0.2754984797015786, -0.11892808224074543, 0.18167130313673988, -0.10354721613647416, -0.013345672811381519, 0.021195188108831645, 0.12149664118885994, -0.04045013951137662, -0.31976280281785874, 0.4309062097966671, -0.09557585931941867, 0.20158473319467157, 0.10054879914224148, 0.07854354147240519, -0.0020894118323922157, 0.020571132499724625, 0.007562083464115858, -0.18123453875060658, 0.105755411317572, 0.28229759896639733, 0.1358985595740378, 0.2119092077165842, -0.3609843396868091, -0.13171702435519547, 0.2457297113360837, 0.10236810936033726, -0.004873573878547177, 0.03248447201121599, -0.2087098005414009, 0.17149260760471224, -0.14097770347259939, -0.15215412529930472, -0.08955190897732973, 0.09819446132145822, 0.01853102527372539, -0.3072732920385897, -0.010608521070331335, 0.09512785007897764, 0.0721179139353335, -0.09154574293643236, -0.18229351134225727, -0.09389405929856003, 0.06674540229141712, -0.002763608667999506, 0.05934148490056396, 0.03715915775997564, -0.1060675951289013, -0.08764414946734905, 0.35602745505422356, -0.05321215018630028, -0.22873853481560946, 0.10898234539991244, -0.18420142409950493, -0.1720354383699596, 0.10307098430395126, 0.06761053395457566, 0.19150151842134072, 0.0321671509295702, 0.1354812522814609, -0.14718825637176633, 0.13110847312491386, 0.10731659688428044, 0.032112722501158715, 0.15169150245562196, 0.04261253785341978, 0.11904804699867964, 0.06232928617950529, -0.00018990437756292522, 0.012898390501737595, -0.3938893312215805, -0.17394877805560827, -0.17718498600274324, 0.17020877745002508, -0.08170250148663763, -0.12153396646585315, 0.33137477734684945, 0.09087485997006298, 0.22685018160939216, 0.1737102078347234, 0.2319112740373239, 0.08282753755152225, 0.03678844200819731, 0.11562520998716354, 0.1713405027263798, 0.13494387416169049, -0.04053930988535285, -0.10599968301318585, 0.0680926274182275, 0.16192415617778896] |
709.3219 | Magnetic fluctuations and itinerant ferromagnetism in two-dimensional
systems with van Hove singularities | We use the quasistatic approach to analyze the criterion of ferromagnetism
for two-dimensional (2D) systems with the Fermi level near Van Hove
singularities (VHS) of the electronic spectrum. It is shown that the spectrum
of spin excitations (paramagnons) is positively defined when the interaction I
between electrons and paramagnons, which corresponds to the Hubbard on-site
repulsion U, is sufficiently large. The critical interactions I_c and U_c
remain finite at Van Hove filling and exceed considerably their values obtained
from the Stoner criterion due to incommensurate spin fluctuations which are
important near the ferromagnetic quantum phase transition. Combining the
quasistatic approximation and the equation-of -motion method for the Green
functions we obtain the results for the electronic self-energy to first order
in the inverse number of spin components.
| cond-mat.str-el | we use the quasistatic approach to analyze the criterion of ferromagnetism for twodimensional 2d systems with the fermi level near van hove singularities vhs of the electronic spectrum it is shown that the spectrum of spin excitations paramagnons is positively defined when the interaction i between electrons and paramagnons which corresponds to the hubbard onsite repulsion u is sufficiently large the critical interactions i_c and u_c remain finite at van hove filling and exceed considerably their values obtained from the stoner criterion due to incommensurate spin fluctuations which are important near the ferromagnetic quantum phase transition combining the quasistatic approximation and the equationof motion method for the green functions we obtain the results for the electronic selfenergy to first order in the inverse number of spin components | [['we', 'use', 'the', 'quasistatic', 'approach', 'to', 'analyze', 'the', 'criterion', 'of', 'ferromagnetism', 'for', 'twodimensional', '2d', 'systems', 'with', 'the', 'fermi', 'level', 'near', 'van', 'hove', 'singularities', 'vhs', 'of', 'the', 'electronic', 'spectrum', 'it', 'is', 'shown', 'that', 'the', 'spectrum', 'of', 'spin', 'excitations', 'paramagnons', 'is', 'positively', 'defined', 'when', 'the', 'interaction', 'i', 'between', 'electrons', 'and', 'paramagnons', 'which', 'corresponds', 'to', 'the', 'hubbard', 'onsite', 'repulsion', 'u', 'is', 'sufficiently', 'large', 'the', 'critical', 'interactions', 'i_c', 'and', 'u_c', 'remain', 'finite', 'at', 'van', 'hove', 'filling', 'and', 'exceed', 'considerably', 'their', 'values', 'obtained', 'from', 'the', 'stoner', 'criterion', 'due', 'to', 'incommensurate', 'spin', 'fluctuations', 'which', 'are', 'important', 'near', 'the', 'ferromagnetic', 'quantum', 'phase', 'transition', 'combining', 'the', 'quasistatic', 'approximation', 'and', 'the', 'equationof', 'motion', 'method', 'for', 'the', 'green', 'functions', 'we', 'obtain', 'the', 'results', 'for', 'the', 'electronic', 'selfenergy', 'to', 'first', 'order', 'in', 'the', 'inverse', 'number', 'of', 'spin', 'components']] | [-0.18398786727098806, 0.16743445078960606, -0.042340484767919406, 0.09214690637253668, 0.00027049063254029507, -0.15484715695862497, 0.07374944902461258, 0.331786005624703, -0.26475926732555743, -0.24221534375470902, 0.0007058462037497924, -0.3517327645409202, -0.15446326651773046, 0.15701913322869038, 0.07678055631122478, 0.017151666009758915, -0.009813759187679915, -0.02666001241018493, -0.10608051602806275, -0.21608069389023715, 0.34651934866246487, 0.027986003465706573, 0.2849766291264031, 0.13630007405854053, 0.022498474988438714, 0.07054060383049386, 0.1318685130903586, 0.027014215037019715, -0.17059828408483077, 0.0484508779195566, 0.26040295827145216, -0.1261702661165997, 0.23252344681393533, -0.37311820527686484, -0.1550001226317522, 0.03898525045674649, 0.13176066540033807, 0.16373838820413406, 0.03850619729963087, -0.30190844469452427, 0.05299015679869742, -0.18225997973913474, -0.1744874439217032, -0.10251219091670853, -0.0060301554307992025, 0.027183241898282653, -0.23648880262460029, 0.14372834368121057, 0.08181200936041211, 0.04104901318039213, -0.10586250590951374, -0.12360572678569172, -0.06789108060507311, 0.09593094217832134, 0.030858800781609876, 0.06413465758368912, 0.12606060224038268, -0.16784949679415495, -0.04728430990011446, 0.37124283528620644, -0.030053567341787532, -0.10625241841706964, 0.18900025738698858, -0.20950130141887163, -0.034904284962630344, 0.188873398212655, 0.08558064960322107, 0.02815761514348052, -0.11161976017758697, 0.13038249078321285, 0.05004578547567011, 0.13519361272217736, 0.04244078537412283, 0.06695832901759931, 0.25317578535852214, 0.13009642226259327, 0.09551598199790792, 0.10352896043239901, -0.14729361469665217, -0.08349969528896349, -0.25544932795067626, -0.11986079302409457, -0.2691693782754656, 0.06346788758131129, -0.05789874211306654, -0.2331505469866522, 0.40290018765344504, 0.1602422711476388, 0.18057792558379115, -0.007847521324745484, 0.22484833144006275, 0.1859787650413752, 0.050201637718442174, 0.06801840354224652, 0.2692546245146779, 0.16228710253175999, 0.09723642367928748, -0.3005902996002179, 0.004083156463272486, 0.09676006101907993] |
709.322 | Absence of logarithmic scaling in the ageing behaviour of the 4D
spherical model | The non-equilibrium dynamics of the kinetic spherical model, quenched to
T<=T_c, with a non-conserved order-parameter is studied at its upper critical
dimension d=d*=4. In the scaling limit where both the waiting time s and the
observation time t are large and the ratio y=t/s>1 is fixed, the scaling
functions of the two-time autocorrelation and autoresponse functions do not
contain any logarithmic correction factors and the typical size of correlated
domains scales for large times as L(t) ~ t^0.5 .
| cond-mat.stat-mech hep-th math-ph math.MP | the nonequilibrium dynamics of the kinetic spherical model quenched to tt_c with a nonconserved orderparameter is studied at its upper critical dimension dd4 in the scaling limit where both the waiting time s and the observation time t are large and the ratio yts1 is fixed the scaling functions of the twotime autocorrelation and autoresponse functions do not contain any logarithmic correction factors and the typical size of correlated domains scales for large times as lt t05 | [['the', 'nonequilibrium', 'dynamics', 'of', 'the', 'kinetic', 'spherical', 'model', 'quenched', 'to', 'tt_c', 'with', 'a', 'nonconserved', 'orderparameter', 'is', 'studied', 'at', 'its', 'upper', 'critical', 'dimension', 'dd4', 'in', 'the', 'scaling', 'limit', 'where', 'both', 'the', 'waiting', 'time', 's', 'and', 'the', 'observation', 'time', 't', 'are', 'large', 'and', 'the', 'ratio', 'yts1', 'is', 'fixed', 'the', 'scaling', 'functions', 'of', 'the', 'twotime', 'autocorrelation', 'and', 'autoresponse', 'functions', 'do', 'not', 'contain', 'any', 'logarithmic', 'correction', 'factors', 'and', 'the', 'typical', 'size', 'of', 'correlated', 'domains', 'scales', 'for', 'large', 'times', 'as', 'lt', 't05']] | [-0.14746944022675354, 0.2163849179446697, -0.09461763470123212, 0.10399626793029408, 0.034672308877731366, -0.1243929369871815, 0.033288759457645936, 0.3132475033029914, -0.2303760486499717, -0.26234091152747474, 0.08949168188963086, -0.30240963054200015, -0.06922203902776043, 0.15877886515576392, 0.06865435894501085, 0.10103099356017387, -0.08111164039000869, 0.02813470580615103, -0.11779139218231043, -0.21810979597270488, 0.26774960157306243, 0.03956244668612877, 0.28856998699717223, 0.06774247796585163, 0.0666392159787938, -0.011358814438184102, -0.016516772732138633, 0.03373603430266182, -0.17033283727864423, -0.05014903693149487, 0.18968171131797135, 0.016175656717581054, 0.22748067162930966, -0.3846592763873438, -0.19134808667004108, 0.12590929658462605, 0.14070752831796804, 0.06065962711349129, 0.061482656386991345, -0.2091904408391565, 0.03560919787734747, -0.1022519448310292, -0.15721353985369205, -0.05297594909866651, 0.11630988910794259, 0.07783552532394727, -0.2906662867350193, 0.17907872260237734, 0.0696058035766085, 0.046907160440071795, -0.023126272942560415, -0.12232845049351454, -0.018418776572992405, 0.16511877208172032, 0.06759210901334882, 0.07910644205287098, 0.1670681559170286, -0.16770708737274012, -0.06257892486639322, 0.3384020227752626, -0.07852570607016483, -0.1603513503074646, 0.19283041049415867, -0.2587524619574348, -0.11800479406490921, 0.14328533465663593, 0.14933597640134394, 0.11019380995382866, -0.13328912559896708, 0.1391633041575551, -0.004536692841599385, 0.21000409846504528, 0.02872308894681434, 0.057011745596925414, 0.13940054140985011, 0.15248539503663777, 0.023339020563289525, 0.11174189428488414, -0.11171764734511574, -0.1486739693582058, -0.3451641917973757, -0.11788627879461273, -0.24114093000534922, 0.08169417067450316, -0.19373723067886506, -0.18639924795677265, 0.3414724465707938, 0.11611405059695244, 0.22659349898497264, 0.15950577221655599, 0.23612706884741783, 0.20867211869141708, 0.11453000745425622, 0.1209302360098809, 0.15629412992546957, 0.08029748550926645, 0.12638039064904055, -0.27501640606671574, 0.06667673915003737, 0.057467834368969004] |
709.3221 | Theory of direct simulation Monte Carlo method | A treatment of direct simulation Monte Carlo method (DSMC) as a Markov
process with a master equation is given and the corresponding master equation
is derived. A hierarchy of equations for the reduced probability distributions
is derived from the master equation. An equation similar to the Boltzmann
equation for single particle probability distribution is derived using
assumption of molecular chaos. It is shown that starting from an uncorrelated
state, the system remains uncorrelated always in the limit $N\to \infty ,$
where $N$ is the number of particles. Simple applications of the formalism to
direct simulation money games are given as examples to the formalism. The
formalism is applied to the direct simulation of homogenous gases. It is shown
that appropriately normalized single particle probability distribution
satisfies the Boltzmann equation for simple gases and Wang Chang-Uhlenbeck
equation for a mixture of molecular gases. As a consequence of this development
we derive Birds no time counter algorithm. We extend the analysis to the
inhomogenous gases and define a new direct simulation algorithm for this case.
We show that single particle probability distribution satisfies the Boltzmann
equation in our algorithm in the limit $% N\to \infty ,$ $V_{k}\to 0,$ $\Delta
t\to 0$ where $% V_{k}$ is the volume $k^{th}$ cell. We also show that that our
algorithm and Bird's algorithm approach each other in the limit $N_{k}\to
\infty$ where $N_{k}$ is the number of particles in the volume $V_{k}$.
| cond-mat.stat-mech | a treatment of direct simulation monte carlo method dsmc as a markov process with a master equation is given and the corresponding master equation is derived a hierarchy of equations for the reduced probability distributions is derived from the master equation an equation similar to the boltzmann equation for single particle probability distribution is derived using assumption of molecular chaos it is shown that starting from an uncorrelated state the system remains uncorrelated always in the limit nto infty where n is the number of particles simple applications of the formalism to direct simulation money games are given as examples to the formalism the formalism is applied to the direct simulation of homogenous gases it is shown that appropriately normalized single particle probability distribution satisfies the boltzmann equation for simple gases and wang changuhlenbeck equation for a mixture of molecular gases as a consequence of this development we derive birds no time counter algorithm we extend the analysis to the inhomogenous gases and define a new direct simulation algorithm for this case we show that single particle probability distribution satisfies the boltzmann equation in our algorithm in the limit nto infty v_kto 0 delta tto 0 where v_k is the volume kth cell we also show that that our algorithm and birds algorithm approach each other in the limit n_kto infty where n_k is the number of particles in the volume v_k | [['a', 'treatment', 'of', 'direct', 'simulation', 'monte', 'carlo', 'method', 'dsmc', 'as', 'a', 'markov', 'process', 'with', 'a', 'master', 'equation', 'is', 'given', 'and', 'the', 'corresponding', 'master', 'equation', 'is', 'derived', 'a', 'hierarchy', 'of', 'equations', 'for', 'the', 'reduced', 'probability', 'distributions', 'is', 'derived', 'from', 'the', 'master', 'equation', 'an', 'equation', 'similar', 'to', 'the', 'boltzmann', 'equation', 'for', 'single', 'particle', 'probability', 'distribution', 'is', 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709.3222 | Scattering below critical energy for the radial 4D Yang-Mills equation
and for the 2D corotational wave map system | We describe the asymptotic behavior as time goes to infinity of solutions of
the 2 dimensional corotational wave map system and of solutions to the 4
dimensional, radially symmetric Yang-Mills equation, in the critical energy
space, with data of energy smaller than or equal to a harmonic map of minimal
energy. An alternative holds: either the data is the harmonic map and the
soltuion is constant in time, or the solution scatters in infinite time.
| math.AP | we describe the asymptotic behavior as time goes to infinity of solutions of the 2 dimensional corotational wave map system and of solutions to the 4 dimensional radially symmetric yangmills equation in the critical energy space with data of energy smaller than or equal to a harmonic map of minimal energy an alternative holds either the data is the harmonic map and the soltuion is constant in time or the solution scatters in infinite time | [['we', 'describe', 'the', 'asymptotic', 'behavior', 'as', 'time', 'goes', 'to', 'infinity', 'of', 'solutions', 'of', 'the', '2', 'dimensional', 'corotational', 'wave', 'map', 'system', 'and', 'of', 'solutions', 'to', 'the', '4', 'dimensional', 'radially', 'symmetric', 'yangmills', 'equation', 'in', 'the', 'critical', 'energy', 'space', 'with', 'data', 'of', 'energy', 'smaller', 'than', 'or', 'equal', 'to', 'a', 'harmonic', 'map', 'of', 'minimal', 'energy', 'an', 'alternative', 'holds', 'either', 'the', 'data', 'is', 'the', 'harmonic', 'map', 'and', 'the', 'soltuion', 'is', 'constant', 'in', 'time', 'or', 'the', 'solution', 'scatters', 'in', 'infinite', 'time']] | [-0.1483804493186039, 0.11957164169969572, -0.06770608355794605, 0.06163671457624013, -0.02911985699540457, -0.12181809215454033, 0.007648793502232513, 0.3061482328481066, -0.265878790498686, -0.2364161717831283, 0.14942075443812772, -0.3366131328826619, -0.06121839930907496, 0.1503221172087423, 0.0035658081162821603, 0.07835033119379266, 0.010060735002814515, 0.11606175958090839, -0.0874137226366312, -0.20164662516499693, 0.36847905943333803, 0.042884112851744566, 0.24133933317765743, 0.00461222804025621, 0.13953179928452103, -0.02332366897246322, 0.017265727932288033, 0.001574026558759018, -0.15891918366321842, 0.06422212873852963, 0.20791606352714873, 0.08866204306281902, 0.24748488146862066, -0.4413464014493936, -0.20562707073829212, 0.17709611269418854, 0.15496512353923675, 0.10741477501201066, 0.004472492375990024, -0.21742143531053051, 0.0511502439464518, -0.11126972296954812, -0.24337804736569524, -0.027936990221811307, 0.05294726940022933, 0.038464352233662596, -0.27239224493402886, 0.11841390096909694, 0.08011454951672538, 0.009892605257698812, -0.15206425588552816, -0.05554876862112684, -0.05613243233764897, 0.09846982271788088, 0.10317267912339319, 0.09589302369921997, 0.048463109005997713, -0.12518203482790882, -0.0645626549281784, 0.3753587240101518, -0.12942025228501833, -0.24981983680580114, 0.18426667917771516, -0.1808224254967393, -0.032086396394800897, 0.1714715479143165, 0.1695971121457783, 0.1256310994472556, -0.08875861395200765, 0.16009891128664636, -0.006855093269739489, 0.1941784534373673, 0.11025855012829541, -0.016951034940477158, 0.13648555245300806, 0.1471976705801648, 0.15287639287526947, 0.14697398451735844, -0.06354440919853546, -0.09498774559815994, -0.29435996162528927, -0.21470288182860492, -0.18911641577850222, 0.1104903722540208, -0.1423356876125704, -0.16593037455065832, 0.3908484469331499, 0.081488956538394, 0.18813204908793843, 0.08042083711857353, 0.2935240902384189, 0.19603941432118566, 0.03561053372529411, 0.09169262534359822, 0.2018694858935133, 0.08225506619311164, 0.11493968197169739, -0.1756386088484244, -0.07999310143468147, 0.09808385696866222] |
709.3223 | On decomposition numbers and Alvis-Curtis duality | We show that for general linear groups ${\rm GL}_n(q)$ as well as for
$q$-Schur algebras the knowledge of the modular Alvis-Curtis duality over
fields of characteristic $\ell$, $\ell \nmid q$, is equivalent to the knowledge
of the decomposition numbers.
| math.RT | we show that for general linear groups rm gl_nq as well as for qschur algebras the knowledge of the modular alviscurtis duality over fields of characteristic ell ell nmid q is equivalent to the knowledge of the decomposition numbers | [['we', 'show', 'that', 'for', 'general', 'linear', 'groups', 'rm', 'gl_nq', 'as', 'well', 'as', 'for', 'qschur', 'algebras', 'the', 'knowledge', 'of', 'the', 'modular', 'alviscurtis', 'duality', 'over', 'fields', 'of', 'characteristic', 'ell', 'ell', 'nmid', 'q', 'is', 'equivalent', 'to', 'the', 'knowledge', 'of', 'the', 'decomposition', 'numbers']] | [-0.19491702540276143, 0.087499573158148, -0.06406877366587138, 0.09517595168644896, -0.0999628268659879, -0.12005780770992622, -0.05661255248989432, 0.3241860816876094, -0.3853153051474156, -0.24596617381589916, 0.07566832945061226, -0.19662169388567025, -0.11287377084581515, 0.24177698814907136, -0.04802350539905138, -0.026187376620677803, -0.021324434663909368, 0.17042217902743664, -0.0822222424754634, -0.24399013951038703, 0.37907554276096517, -0.030540099158548772, 0.23702045362920332, -0.012130551684934359, 0.09491932845841615, 0.06353990515120901, 0.002459347868959109, -0.03287386975418299, -0.1635857112774736, 0.09123614180880861, 0.36317605955096394, 0.13962882520774236, 0.18763585393436444, -0.3103027787441627, -0.10208790727819388, 0.16100782342255116, 0.17592749149741557, 0.02210886676151019, 0.0502849277586509, -0.1962464349105572, 0.1599421829271775, -0.18648281511970055, -0.10512837423728062, -0.0828144718439151, 0.12661073023739916, 0.007874723273114516, -0.34201002254700047, 0.024481185568639867, 0.14833662937729594, 0.16437849528992024, -0.054452458348793864, -0.22213236299546388, -0.022534306262595914, 0.09405353596099676, -0.015593075008394245, 0.030376168923118174, 0.07122697463879983, -0.1438490908163098, -0.17923994806523508, 0.36248791771821487, -0.07235220571358998, -0.15761113176361108, 0.0940075564580277, -0.17516507549832264, -0.1647666378173595, 0.10229529363986774, 0.11911829995612304, 0.16406229018973997, 0.04281931322736618, 0.2143887501830856, -0.17233139668137598, 0.09102731857162255, 0.1241244921604028, 0.041927487608821444, 0.12250410017963403, 0.03147634331327982, 0.05598699119992745, 0.11330707097808138, 0.019524395991212282, 0.02318997060259183, -0.3850962878801884, -0.2194114298058244, -0.12229508144828753, 0.1454110728481259, -0.09891914076004656, -0.1102255364247144, 0.3611847819426121, 0.062013503892394975, 0.16601691377134278, 0.18311314096148962, 0.21574912736049065, 0.04358154611112789, 0.16031617635431197, 0.04014851357071446, 0.08763754176787841, 0.2903780352610808, -0.033418537908568025, -0.16410671151840153, -0.07012487953910843, 0.12679626366410118] |
709.3224 | Variable Sine Algorithmic Analysis (VSAA): A new method of frequency
analysis - Applications | A new method of frequency analysis is presented in detail. This new method -
Variable Sine Algorithmic Analysis, (VSAA) - is based on a single variable sine
function and it is powered by the simplex algorithm. It is used in cases of
phenomena triggered by a single mechanism, where Fourier Transform and Wavelet
Analysis fail to describe practically and efficiently. Applications are given
on the orbital period variation of two RS CVn type binaries: RS CVn itself and
CG Cyg. With the use of the Applegate's mechanism, the variation of their
subsurface magnetic field has been acquired.
| astro-ph | a new method of frequency analysis is presented in detail this new method variable sine algorithmic analysis vsaa is based on a single variable sine function and it is powered by the simplex algorithm it is used in cases of phenomena triggered by a single mechanism where fourier transform and wavelet analysis fail to describe practically and efficiently applications are given on the orbital period variation of two rs cvn type binaries rs cvn itself and cg cyg with the use of the applegates mechanism the variation of their subsurface magnetic field has been acquired | [['a', 'new', 'method', 'of', 'frequency', 'analysis', 'is', 'presented', 'in', 'detail', 'this', 'new', 'method', 'variable', 'sine', 'algorithmic', 'analysis', 'vsaa', 'is', 'based', 'on', 'a', 'single', 'variable', 'sine', 'function', 'and', 'it', 'is', 'powered', 'by', 'the', 'simplex', 'algorithm', 'it', 'is', 'used', 'in', 'cases', 'of', 'phenomena', 'triggered', 'by', 'a', 'single', 'mechanism', 'where', 'fourier', 'transform', 'and', 'wavelet', 'analysis', 'fail', 'to', 'describe', 'practically', 'and', 'efficiently', 'applications', 'are', 'given', 'on', 'the', 'orbital', 'period', 'variation', 'of', 'two', 'rs', 'cvn', 'type', 'binaries', 'rs', 'cvn', 'itself', 'and', 'cg', 'cyg', 'with', 'the', 'use', 'of', 'the', 'applegates', 'mechanism', 'the', 'variation', 'of', 'their', 'subsurface', 'magnetic', 'field', 'has', 'been', 'acquired']] | [-0.09798364435382029, 0.0774709874853254, -0.1141833531016365, 0.07970717368880287, -0.13022241631938897, -0.1756380422962235, 0.07035902565582952, 0.39054562426865735, -0.2889192203862315, -0.27578088506422144, 0.13249466475842403, -0.22582979416078391, -0.21172230487610114, 0.2641197061364321, -0.07225297937328194, 0.044521356377988416, 0.06734947740822347, 0.010766453406912214, -0.044807029390172594, -0.2298115168480163, 0.27127875817538377, 0.03099291014207646, 0.219810294126101, -0.06955728562860848, 0.09038803372730284, 0.014533553535039438, -0.06578776534266542, -0.043222201840588705, -0.07438327351267984, 0.08881915987102672, 0.18415598515322076, 0.14787198721673933, 0.22730141745365046, -0.3515081384883044, -0.24902487841454593, 0.05644760289764468, 0.1449194315231425, 0.02927071242494152, -0.06309296448586231, -0.22251247808317395, 0.09808931450181185, -0.17478923882020914, -0.10471329006782555, -0.06926019360469853, 0.06896249445259293, 0.05578373400296303, -0.2768329936079681, 0.083333616719601, 0.059579479532871155, 0.07650854791256975, -0.08234529513271248, -0.08852298082684741, 0.00882463634727483, 0.04991866870624746, 0.06395537302175418, 0.09315006641492724, 0.10959397881549407, -0.03823587024693397, -0.10520603962520018, 0.36498446378638927, -0.05262792615239766, -0.18511896194057895, 0.18839819982717249, -0.13881319494759467, -0.15149087766482633, 0.14489821142497214, 0.16630205329745373, 0.16734719962535544, -0.15721859813028788, 0.07077796246727651, 0.007544686472875641, 0.1841062133378805, 0.03064514360727465, 0.041044674982178085, 0.20864311291618234, 0.18895986949172902, -0.0018060120563220946, 0.14424053943428666, -0.2041724304559621, -0.07023186885573446, -0.23880511831908308, -0.13908290276502042, -0.2134106998861906, -0.007222789536636481, -0.08296283745414954, -0.1553174189212633, 0.4384919536977906, 0.08276864710917815, 0.16190420094124497, -0.07371568675846496, 0.30482255640697287, 0.16748422619074266, 0.08288228077187941, 0.07526188493369425, 0.22562940888344607, 0.15594775708976816, 0.1535254495040058, -0.226214535118259, 0.07463908999504403, 0.116917845426484] |
709.3225 | Harvesting graphics power for MD simulations | We discuss an implementation of molecular dynamics (MD) simulations on a
graphic processing unit (GPU) in the NVIDIA CUDA language. We tested our code
on a modern GPU, the NVIDIA GeForce 8800 GTX. Results for two MD algorithms
suitable for short-ranged and long-ranged interactions, and a congruential
shift random number generator are presented. The performance of the GPU's is
compared to their main processor counterpart. We achieve speedups of up to 80,
40 and 150 fold, respectively. With newest generation of GPU's one can run
standard MD simulations at 10^7 flops/$.
| cond-mat.other cond-mat.soft | we discuss an implementation of molecular dynamics md simulations on a graphic processing unit gpu in the nvidia cuda language we tested our code on a modern gpu the nvidia geforce 8800 gtx results for two md algorithms suitable for shortranged and longranged interactions and a congruential shift random number generator are presented the performance of the gpus is compared to their main processor counterpart we achieve speedups of up to 80 40 and 150 fold respectively with newest generation of gpus one can run standard md simulations at 107 flops | [['we', 'discuss', 'an', 'implementation', 'of', 'molecular', 'dynamics', 'md', 'simulations', 'on', 'a', 'graphic', 'processing', 'unit', 'gpu', 'in', 'the', 'nvidia', 'cuda', 'language', 'we', 'tested', 'our', 'code', 'on', 'a', 'modern', 'gpu', 'the', 'nvidia', 'geforce', '8800', 'gtx', 'results', 'for', 'two', 'md', 'algorithms', 'suitable', 'for', 'shortranged', 'and', 'longranged', 'interactions', 'and', 'a', 'congruential', 'shift', 'random', 'number', 'generator', 'are', 'presented', 'the', 'performance', 'of', 'the', 'gpus', 'is', 'compared', 'to', 'their', 'main', 'processor', 'counterpart', 'we', 'achieve', 'speedups', 'of', 'up', 'to', '80', '40', 'and', '150', 'fold', 'respectively', 'with', 'newest', 'generation', 'of', 'gpus', 'one', 'can', 'run', 'standard', 'md', 'simulations', 'at', '107', 'flops']] | [-0.160231683352082, 0.016018120517121412, -0.033830701504644664, 0.03392873881742931, -0.026777203563232342, -0.17791869883440886, 0.006171578853544625, 0.4678793517401913, -0.24441117600916507, -0.39124654270299186, 0.08682525519071822, -0.2914148163316505, -0.056837267257723506, 0.31821554874653346, 0.030636405429014794, 0.10063188416105541, 0.18721496303576035, 0.019513031887402246, -0.12309019458940723, -0.33893479016906286, 0.10942160076164938, 0.11185995047236537, 0.22481949511239982, 0.03344382802126827, 0.10559125430977924, -0.09050140623003244, 0.041024120711301876, -0.09628579488208333, -0.0800943688724886, 0.13170317154228023, 0.1683035610079929, 0.12367116586192624, 0.2558555140129321, -0.48061973783878387, -0.08152593546393481, 0.0041867739643778774, 0.09805944464220614, 0.025128285285433406, -0.06276203691703523, -0.21837081136898354, 0.15766509860283234, -0.19485637565030828, -0.030719826990677105, -0.09235579284563006, -0.021750007131761246, 0.05146396794397343, -0.2568472782444147, 0.01925736909814097, -0.003815240144811489, 0.11753766239712854, 0.033650908629399734, -0.17858119047973509, 0.07428936645705866, 0.05087982480680304, -0.0746658214362809, 0.13587947862969896, 0.21758081676415422, -0.06758316969601336, -0.22294558143591162, 0.4573196386509053, -0.08559380678183676, -0.17399759685804883, 0.21748486429371022, -0.05178116881390931, -0.1751392545782357, 0.10108364895395525, 0.22252811303178033, 0.054088497145490334, -0.12309794802382425, 0.07290111082845245, 0.038792407672320096, 0.24275577481795144, 0.08611601175085365, -0.03657586155152255, 0.13779315084556712, 0.25802866445475636, -0.07613979696019829, 0.15558512323116372, -0.1349530106047066, -0.19391119011529404, -0.2059703718264495, -0.21822180355397555, -0.2099212267855694, 0.0222952952506123, -0.14878357985203416, -0.07795905485585496, 0.3732032240112568, 0.2118320560113496, 0.07690194736306484, 0.15564611663652972, 0.37087583396031143, -0.009325820147980945, 0.18641325745189175, 0.18360358016094663, 0.10917738078233714, 0.0701113766632401, 0.1293209088853673, -0.22084662424410684, -0.11030532832124404, -0.008239428819781477] |
709.3226 | The interpretation of the Einstein-Rupp experiments and their influence
on the history of quantum mechanics | The Einstein-Rupp experiments were proposed in 1926 by Albert Einstein to
study the wave versus particle nature of light. Einstein presented a
theoretical analysis of these experiments to the Berlin Academy together with
results of Emil Rupp, who claimed to have successfully carried them out.
However, as the preceding paper has claimed (HSPS 37 Suppl. (2007), 73-121),
Rupp's success was the result of scientific fraud. This paper will argue, after
exploring their interpretation, that the experiments were a relevant part of
the background to such celebrated contributions to quantum mechanics as Born's
statistical interpretation of the wave function and Heisenberg's uncertainty
principle. Yet, the Einstein-Rupp experiments have hardly received attention in
the history of quantum mechanics literature. In part, this is a consequence of
self-censorship in the physics community, enforced in the wake of the Rupp
affair. Self-censorship among historians of physics may however also have
played a role.
| physics.hist-ph | the einsteinrupp experiments were proposed in 1926 by albert einstein to study the wave versus particle nature of light einstein presented a theoretical analysis of these experiments to the berlin academy together with results of emil rupp who claimed to have successfully carried them out however as the preceding paper has claimed hsps 37 suppl 2007 73121 rupps success was the result of scientific fraud this paper will argue after exploring their interpretation that the experiments were a relevant part of the background to such celebrated contributions to quantum mechanics as borns statistical interpretation of the wave function and heisenbergs uncertainty principle yet the einsteinrupp experiments have hardly received attention in the history of quantum mechanics literature in part this is a consequence of selfcensorship in the physics community enforced in the wake of the rupp affair selfcensorship among historians of physics may however also have played a role | [['the', 'einsteinrupp', 'experiments', 'were', 'proposed', 'in', '1926', 'by', 'albert', 'einstein', 'to', 'study', 'the', 'wave', 'versus', 'particle', 'nature', 'of', 'light', 'einstein', 'presented', 'a', 'theoretical', 'analysis', 'of', 'these', 'experiments', 'to', 'the', 'berlin', 'academy', 'together', 'with', 'results', 'of', 'emil', 'rupp', 'who', 'claimed', 'to', 'have', 'successfully', 'carried', 'them', 'out', 'however', 'as', 'the', 'preceding', 'paper', 'has', 'claimed', 'hsps', '37', 'suppl', '2007', '73121', 'rupps', 'success', 'was', 'the', 'result', 'of', 'scientific', 'fraud', 'this', 'paper', 'will', 'argue', 'after', 'exploring', 'their', 'interpretation', 'that', 'the', 'experiments', 'were', 'a', 'relevant', 'part', 'of', 'the', 'background', 'to', 'such', 'celebrated', 'contributions', 'to', 'quantum', 'mechanics', 'as', 'borns', 'statistical', 'interpretation', 'of', 'the', 'wave', 'function', 'and', 'heisenbergs', 'uncertainty', 'principle', 'yet', 'the', 'einsteinrupp', 'experiments', 'have', 'hardly', 'received', 'attention', 'in', 'the', 'history', 'of', 'quantum', 'mechanics', 'literature', 'in', 'part', 'this', 'is', 'a', 'consequence', 'of', 'selfcensorship', 'in', 'the', 'physics', 'community', 'enforced', 'in', 'the', 'wake', 'of', 'the', 'rupp', 'affair', 'selfcensorship', 'among', 'historians', 'of', 'physics', 'may', 'however', 'also', 'have', 'played', 'a', 'role']] | [-0.07351801771752385, 0.07612408877262292, -0.12455581682356628, 0.06126253102116312, -0.11246911328713838, -0.08624176530645707, 0.04742642968886759, 0.29425333345913, -0.19172732155405087, -0.3586593817013341, 0.08695327523211646, -0.30060658649214217, -0.18050273104470121, 0.205699154425167, -0.0913930158020702, 0.0750880952408487, 0.07349529135909334, 0.029628338317411976, -0.015769889998262294, -0.290021282148774, 0.25399400450515786, 0.14405985599906007, 0.28276180204104734, 0.08988053745643639, 0.07519358415722947, 0.008564735185417876, -0.08630433895411221, 0.014819865410744742, -0.1035698233379269, 0.09112208084096327, 0.30363369273569285, 0.1601583219032634, 0.33493423343610923, -0.40958102921934836, -0.22799532107278905, 0.08038938907289726, 0.092266193296087, 0.10486052761080901, -0.04753108988862132, -0.3458804710944359, 0.019711723456763336, -0.18596873214512408, -0.12688173029911579, -0.025716055063467875, 0.06844616543212151, -0.025034601639679355, -0.13579037188036316, 0.07513590472513602, 0.07716528731681457, 0.06655748112982995, -0.019608657146769425, -0.1296394599249234, 0.03476479373018043, 0.110869018392436, 0.08920031698810793, 0.038422764683255575, 0.09875907755230327, -0.11703027415913655, -0.1673165817140929, 0.39989184333968003, -0.017641756956534763, -0.11569975863361882, 0.1648856861331198, -0.13451353649489228, -0.16865747340174542, 0.057840980927623506, 0.13189831622750373, 0.04790887064508924, -0.15782952009278625, 0.07933422231793441, -0.07962997658221473, 0.11683267419465591, 0.10421526231928854, 0.012095091228901938, 0.22539757893458512, 0.11260788993142243, -0.06568970832803815, 0.07623698916113181, -0.061981185687260666, -0.11539388031107248, -0.2816617253009935, -0.1694795391270639, -0.17589591651827702, 0.06469419566781505, 0.04477948880751658, -0.09129017230116988, 0.36175904453026503, 0.15449175687358915, 0.11500437542280131, -0.030566219238853838, 0.2134280937371423, 0.057283305379757156, 0.04203479950602569, 0.01850991346716025, 0.35836230528641594, 0.1456060066372408, 0.1856580086341883, -0.1665153527408964, 0.07216009455481293, 0.055411547224188375] |
709.3227 | Green functions and dimensional reduction of quantum fields on product
manifolds | We discuss Euclidean Green functions on product manifolds P=NxM. We show that
if M is compact then the Euclidean field on P can be approximated by its zero
mode which is a Euclidean field on N. We estimate the remainder of this
approximation. We show that for large distances on N the remainder is small. If
P=R^{D-1}xS^{beta}, where S^{beta} is a circle of radius beta, then the result
reduces to the well-known approximation of the D dimensional finite temperature
quantum field theory to D-1 dimensional one in the high temperature limit.
Analytic continuation of Euclidean fields is discussed briefly.
| hep-th gr-qc math-ph math.MP | we discuss euclidean green functions on product manifolds pnxm we show that if m is compact then the euclidean field on p can be approximated by its zero mode which is a euclidean field on n we estimate the remainder of this approximation we show that for large distances on n the remainder is small if prd1xsbeta where sbeta is a circle of radius beta then the result reduces to the wellknown approximation of the d dimensional finite temperature quantum field theory to d1 dimensional one in the high temperature limit analytic continuation of euclidean fields is discussed briefly | [['we', 'discuss', 'euclidean', 'green', 'functions', 'on', 'product', 'manifolds', 'pnxm', 'we', 'show', 'that', 'if', 'm', 'is', 'compact', 'then', 'the', 'euclidean', 'field', 'on', 'p', 'can', 'be', 'approximated', 'by', 'its', 'zero', 'mode', 'which', 'is', 'a', 'euclidean', 'field', 'on', 'n', 'we', 'estimate', 'the', 'remainder', 'of', 'this', 'approximation', 'we', 'show', 'that', 'for', 'large', 'distances', 'on', 'n', 'the', 'remainder', 'is', 'small', 'if', 'prd1xsbeta', 'where', 'sbeta', 'is', 'a', 'circle', 'of', 'radius', 'beta', 'then', 'the', 'result', 'reduces', 'to', 'the', 'wellknown', 'approximation', 'of', 'the', 'd', 'dimensional', 'finite', 'temperature', 'quantum', 'field', 'theory', 'to', 'd1', 'dimensional', 'one', 'in', 'the', 'high', 'temperature', 'limit', 'analytic', 'continuation', 'of', 'euclidean', 'fields', 'is', 'discussed', 'briefly']] | [-0.15625369608325443, 0.15804032904585613, -0.0842068101442659, 0.08371812501230959, -0.03793458653297083, -0.10743419507748841, 0.029578387791281278, 0.35523217906887383, -0.23332643843035109, -0.1800326248726894, 0.13551574207052647, -0.2681315292690679, -0.15047698739985696, 0.180845500639707, -0.05711297027901122, -0.01925681459479821, 0.004405610097725827, 0.1217839853578852, -0.08042816598371592, -0.2737454040979333, 0.3576200118662847, -0.013663240656803948, 0.21720735466866226, 0.0699703775192659, 0.07994614588576801, 0.021654017922497288, 0.0191016889695731, 0.0716322965718345, -0.15828717021423405, 0.07934810701738466, 0.21078348728184848, 0.0899277853385843, 0.2314883046495469, -0.3663581340314494, -0.19142228472478612, 0.11483616774095241, 0.14785791891531, 0.056083921135460825, -0.003663132548063379, -0.22443216049217993, 0.10354986662505981, -0.09592898379886504, -0.2109366361022994, -0.06636579118707438, 0.08341438601575984, -0.004798488499423892, -0.27876745392904456, 0.04221014502775116, 0.05745940112638451, 0.020745719638989142, -0.04912364687386554, -0.1384387927504314, 0.013882759636863298, 0.079964556087999, 0.03838479278618758, 0.128810816751697, 0.08937464549311812, -0.06036458571982143, -0.0527150416362685, 0.33945515254493225, -0.12453059420066397, -0.238721457804486, 0.15396145602073713, -0.23683205129309876, -0.09563488835833736, 0.09323277612476005, 0.16246410467921152, 0.1667472186027882, -0.07172394266409665, 0.24312678915592506, -0.06565223968727034, 0.1442052681555914, 0.09395318215271246, -0.006417411360313597, 0.13857442469902567, 0.12102353626132473, 0.0957094032903077, 0.1503170340876431, -0.08732857238309286, -0.09778877351788286, -0.34488188343233017, -0.17137629073113203, -0.2586926259397476, 0.14381194779092504, -0.16533309131975948, -0.18734752985927247, 0.3156598907434526, 0.07905522685320376, 0.205932695408995, 0.08585363327040692, 0.2933735285607195, 0.16576864868738525, 0.058151842003745825, 0.09966798940884698, 0.20751954753374316, 0.16124842439048453, -0.015007556531309467, -0.196287921826672, -0.0832449575146833, 0.1613927402884037] |
709.3228 | Phase-ordering kinetics of two-dimensional disordered Ising models | The phase-ordering kinetics of the ferromagnetic two-dimensional Ising model
with uniform disorder is investigated by intensive Monte Carlo simulations.
Taking into account finite-time corrections to scaling, simple ageing behaviour
is observed in the two-time responses and correlators. The dynamical exponent z
and the form of the scaling functions only depend on the ratio eps/T, where eps
describes the width of the distribution of the disorder. The agreement of the
predictions of local scale-invariance generalised to z<> 2 for the two-time
scaling functions of response and correlations with the numerical data provides
a direct test of generalised Galilei-invariance.
| cond-mat.stat-mech cond-mat.dis-nn hep-th math-ph math.MP | the phaseordering kinetics of the ferromagnetic twodimensional ising model with uniform disorder is investigated by intensive monte carlo simulations taking into account finitetime corrections to scaling simple ageing behaviour is observed in the twotime responses and correlators the dynamical exponent z and the form of the scaling functions only depend on the ratio epst where eps describes the width of the distribution of the disorder the agreement of the predictions of local scaleinvariance generalised to z 2 for the twotime scaling functions of response and correlations with the numerical data provides a direct test of generalised galileiinvariance | [['the', 'phaseordering', 'kinetics', 'of', 'the', 'ferromagnetic', 'twodimensional', 'ising', 'model', 'with', 'uniform', 'disorder', 'is', 'investigated', 'by', 'intensive', 'monte', 'carlo', 'simulations', 'taking', 'into', 'account', 'finitetime', 'corrections', 'to', 'scaling', 'simple', 'ageing', 'behaviour', 'is', 'observed', 'in', 'the', 'twotime', 'responses', 'and', 'correlators', 'the', 'dynamical', 'exponent', 'z', 'and', 'the', 'form', 'of', 'the', 'scaling', 'functions', 'only', 'depend', 'on', 'the', 'ratio', 'epst', 'where', 'eps', 'describes', 'the', 'width', 'of', 'the', 'distribution', 'of', 'the', 'disorder', 'the', 'agreement', 'of', 'the', 'predictions', 'of', 'local', 'scaleinvariance', 'generalised', 'to', 'z', '2', 'for', 'the', 'twotime', 'scaling', 'functions', 'of', 'response', 'and', 'correlations', 'with', 'the', 'numerical', 'data', 'provides', 'a', 'direct', 'test', 'of', 'generalised', 'galileiinvariance']] | [-0.12382114932794745, 0.1431030547246337, -0.12306858222291339, 0.10377477409444207, 0.009064365456652013, -0.13097855722420113, 0.026258224696600035, 0.3135851644910872, -0.22014473395635528, -0.24671092093679667, 0.0336181608181505, -0.30008310118379694, -0.10559131139113258, 0.17260229233215796, 0.10994839415070601, 0.1119579376342396, -0.01063562211978327, -0.041706923021896124, -0.09986559535294266, -0.21643180629083267, 0.28630131123160635, 0.07449663125832255, 0.30828485327462357, 0.04209874458805037, 0.06942931413868791, 0.0492975977055418, -0.03472396121166336, 0.030309765449298236, -0.206325507950775, 0.01197699651675066, 0.14140579267041176, 0.018730190708690014, 0.22637471416480062, -0.40399345363645506, -0.19540260208304971, 0.0878904372996961, 0.14713379938621074, 0.06937841095592982, -0.0007778341181013578, -0.2795412309351377, 0.04191180987011952, -0.14697061222977936, -0.14800167943758424, -0.0686110739770811, 0.018558760357943054, 0.07868445101970185, -0.3194546680509423, 0.17405172373886066, 0.04159736736467797, 0.07410889666061848, -0.03594643673447232, -0.08125202616793104, -0.029762427021826927, 0.14512333877913383, 0.049007688680527885, 0.008520287257852033, 0.15414547666781195, -0.1663720190699678, -0.11875478368407737, 0.3528526275185868, -0.0389615485316123, -0.19705655128200306, 0.1576968427442201, -0.2281537638482405, -0.12321494228672236, 0.12492657177790534, 0.1356718250317499, 0.045619875202343486, -0.1576812207349576, 0.1253262617810833, 0.006608149783763413, 0.17380383262449564, -0.0448762513018058, -0.0030688391526230894, 0.15859331704753762, 0.17556596937356517, -0.05429763626185983, 0.1634995861677453, -0.0690543245121565, -0.1826914395011651, -0.31138990996745025, -0.12507594186172355, -0.21833574721798263, 0.08458049722442713, -0.1889875919810038, -0.21752552383986767, 0.39904924887378, 0.15096351271495223, 0.20127672995537674, 0.133539592223921, 0.22444218406356717, 0.1705295764550101, 0.06799169055496652, 0.016041998727208313, 0.22211884948289176, 0.14888325033098226, 0.08366221467925546, -0.29839802052689873, 0.10088576991984155, 0.07409000443294644] |
709.3229 | Non-Markovian disentanglement dynamics of two-qubit system | We investigated the disentanglement dynamics of two-qubit system in
Non-Markovian approach. We showed that only the couple strength with the
environment near to or less than fine-structure constant 1/137, entanglement
appear exponential decay for a certain class of two-qubit entangled state.
While the coupling between qubit and the environment is much larger, system
always appears the sudden-death of entanglement even in the vacuum environment.
| cond-mat.mes-hall | we investigated the disentanglement dynamics of twoqubit system in nonmarkovian approach we showed that only the couple strength with the environment near to or less than finestructure constant 1137 entanglement appear exponential decay for a certain class of twoqubit entangled state while the coupling between qubit and the environment is much larger system always appears the suddendeath of entanglement even in the vacuum environment | [['we', 'investigated', 'the', 'disentanglement', 'dynamics', 'of', 'twoqubit', 'system', 'in', 'nonmarkovian', 'approach', 'we', 'showed', 'that', 'only', 'the', 'couple', 'strength', 'with', 'the', 'environment', 'near', 'to', 'or', 'less', 'than', 'finestructure', 'constant', '1137', 'entanglement', 'appear', 'exponential', 'decay', 'for', 'a', 'certain', 'class', 'of', 'twoqubit', 'entangled', 'state', 'while', 'the', 'coupling', 'between', 'qubit', 'and', 'the', 'environment', 'is', 'much', 'larger', 'system', 'always', 'appears', 'the', 'suddendeath', 'of', 'entanglement', 'even', 'in', 'the', 'vacuum', 'environment']] | [-0.17588050286576618, 0.21366919836145826, -0.011398764094337821, 0.05991324836008971, 0.06133502931334078, -0.2573595768699306, 0.0268169534028857, 0.4027287869248539, -0.19798320025438443, -0.28084415959892794, 0.039274067672522506, -0.2444505815510638, -0.06360715297341812, 0.1885139334735868, 0.02477426262339577, 0.04894793315907009, 0.0663943584804656, 0.07252549612167059, -0.054537556614377536, -0.2290209583879914, 0.3161257226165617, 0.037738685903605074, 0.24840227056120057, 0.03434582312911516, 0.06691644950478803, -0.03694425880530616, 0.08277400195947848, -0.018531595036620274, -0.08478180098302346, 0.05277195647067856, 0.18411307965652668, 0.0929519952769624, 0.2811458737705834, -0.38413526173098944, -0.16517632563773077, 0.15007452540157828, 0.1200516160170082, 0.19597025079929153, 0.026589867908114684, -0.3582047519466869, -0.01651523631880991, -0.18437737005297095, -0.1119808546063723, -0.0709504592734902, 0.04240659638890065, -0.09535255341415905, -0.2446992650802713, 0.12851817985938396, 0.06696502739578136, 0.01312200370739447, -0.03921651785640279, -0.023742585744912503, -0.010450387606397271, 0.08966821305148187, -0.0018954672013933305, 0.021211513227171963, 0.2079903076082701, -0.16117113106884062, -0.05498309850372607, 0.32145432954712305, -0.10320714820886678, -0.17324855602055322, 0.2122698082239367, -0.21794656655401923, -0.07647068668302381, 0.11609872037661262, 0.11504492479434703, 0.12060193176512257, -0.11954048491315916, 0.06313703485557198, 0.02460709633305669, 0.2556301360600628, 0.04384175421728287, 0.16236183176806662, 0.13078986582695507, 0.09797559556318447, 0.11767201831389684, 0.20912660511385184, -0.014373492784216069, -0.18136107329337392, -0.290825972580933, -0.18490335023670923, -0.21402746238891268, 0.1354480148438597, -0.08725146845949894, -0.11953392410941888, 0.393448572664056, 0.11935439593798947, 0.14597264910844387, 0.030070306216657627, 0.2245646301889792, 0.09671908291056752, 0.07225406072757323, 0.10538100723204025, 0.30739991390146315, 0.12420734285842627, 0.08045188281903393, -0.3365989001795242, 0.11872977855728095, -0.013516855338821188] |
709.323 | How does flow in a pipe become turbulent? | The transition to turbulence in pipe flow does not follow the scenario
familiar from Rayleigh-Benard or Taylor-Couette flow since the laminar profile
is stable against infinitesimal perturbations for all Reynolds numbers.
Moreover, even when the flow speed is high enough and the perturbation
sufficiently strong such that turbulent flow is established, it can return to
the laminar state without any indication of the imminent decay. In this
parameter range, the lifetimes of perturbations show a sensitive dependence on
initial conditions and an exponential distribution. The turbulence seems to be
supported by three-dimensional travelling waves which appear transiently in the
flow field. The boundary between laminar and turbulent dynamics is formed by
the stable manifold of an invariant chaotic state. We will also discuss the
relation between observations in short, periodically continued domains, and the
dynamics in fully extended puffs.
| physics.flu-dyn | the transition to turbulence in pipe flow does not follow the scenario familiar from rayleighbenard or taylorcouette flow since the laminar profile is stable against infinitesimal perturbations for all reynolds numbers moreover even when the flow speed is high enough and the perturbation sufficiently strong such that turbulent flow is established it can return to the laminar state without any indication of the imminent decay in this parameter range the lifetimes of perturbations show a sensitive dependence on initial conditions and an exponential distribution the turbulence seems to be supported by threedimensional travelling waves which appear transiently in the flow field the boundary between laminar and turbulent dynamics is formed by the stable manifold of an invariant chaotic state we will also discuss the relation between observations in short periodically continued domains and the dynamics in fully extended puffs | [['the', 'transition', 'to', 'turbulence', 'in', 'pipe', 'flow', 'does', 'not', 'follow', 'the', 'scenario', 'familiar', 'from', 'rayleighbenard', 'or', 'taylorcouette', 'flow', 'since', 'the', 'laminar', 'profile', 'is', 'stable', 'against', 'infinitesimal', 'perturbations', 'for', 'all', 'reynolds', 'numbers', 'moreover', 'even', 'when', 'the', 'flow', 'speed', 'is', 'high', 'enough', 'and', 'the', 'perturbation', 'sufficiently', 'strong', 'such', 'that', 'turbulent', 'flow', 'is', 'established', 'it', 'can', 'return', 'to', 'the', 'laminar', 'state', 'without', 'any', 'indication', 'of', 'the', 'imminent', 'decay', 'in', 'this', 'parameter', 'range', 'the', 'lifetimes', 'of', 'perturbations', 'show', 'a', 'sensitive', 'dependence', 'on', 'initial', 'conditions', 'and', 'an', 'exponential', 'distribution', 'the', 'turbulence', 'seems', 'to', 'be', 'supported', 'by', 'threedimensional', 'travelling', 'waves', 'which', 'appear', 'transiently', 'in', 'the', 'flow', 'field', 'the', 'boundary', 'between', 'laminar', 'and', 'turbulent', 'dynamics', 'is', 'formed', 'by', 'the', 'stable', 'manifold', 'of', 'an', 'invariant', 'chaotic', 'state', 'we', 'will', 'also', 'discuss', 'the', 'relation', 'between', 'observations', 'in', 'short', 'periodically', 'continued', 'domains', 'and', 'the', 'dynamics', 'in', 'fully', 'extended', 'puffs']] | [-0.2043448022948645, 0.2521053620988064, -0.11484877578914165, 0.07112023978671662, -0.04527854647574504, -0.10329350039510311, -0.030578172157632467, 0.3118562471484196, -0.3174135774146203, -0.25593812477929023, 0.1448515528593574, -0.21184432612423845, -0.09579388551387212, 0.18968158445602432, -0.033052524206690866, 0.08023405216446669, 0.07309815854423767, 0.012911640121032008, -0.010060992777823276, -0.15157379112507907, 0.3203130470205219, 0.042986018435774945, 0.29300691087549324, 0.02901716898831961, 0.03922859646996363, -0.10089845662239752, 0.02756137743578862, 0.05703385395379804, -0.18440544059720576, -0.0020099088663516713, 0.20241111898087066, 0.04806110584813592, 0.23635503545524084, -0.476881069647108, -0.24702853754015386, 0.07862744632297658, 0.17427712833683054, 0.12337597451430725, -0.035516304798966954, -0.2796654003343994, 0.10001869304708653, -0.15040873543513442, -0.15144358719313825, -0.06206413316908929, 0.06440346163828194, 0.038555879440667816, -0.2813775130587784, 0.1185429061931749, 0.08273046156525504, 0.06302939612994628, -0.0783057983984782, 0.0263523596184824, -0.08231471264366355, 0.10730950463175432, 0.09961511866397245, 0.025633426853824113, 0.14139667380493964, -0.17532633311992926, -0.01196478763737602, 0.381057371613201, -0.10620283065095758, -0.2109980980276043, 0.22157332128275642, -0.20941137917098596, -0.04388815767915665, 0.19383246148140806, 0.16699450855016065, 0.0997716677289292, -0.053475099547599485, 0.01581942797102463, -0.06673321165328698, 0.1783754458624146, 0.07684796367832225, -0.06206522462554544, 0.22488184679272794, 0.13223083053293416, 0.10805194667982701, 0.12703978559655546, -0.09175101244527338, -0.14939020315299092, -0.29748918645405514, -0.10902490196565313, -0.14515512140899922, 0.062241127302559436, -0.0731753864180692, -0.18577211613518943, 0.35978877735022696, 0.1076196833754883, 0.20668946951292724, 0.025838750139006127, 0.2798658200881357, 0.09921576224749895, 0.015046308825475922, 0.17227940060291064, 0.2964384432349408, 0.1634250428299788, 0.16249752969970163, -0.2171016398452142, 0.09071811213511505, 0.026676561921272133] |
709.3231 | Jacobi's Last Multiplier and Lagrangians for Multidimensional Systems | We demonstrate that the formalism for the calculation of the Jacobi last
multiplier for a one-degree-of-freedom system extends naturally to systems of
more than one degree of freedom thereby extending results of Whittaker dating
from more than a century ago and Rao ({\it Proc Ben Math Soc} {\bf 2} (1940)
53-59) dating from almost seventy years ago. We illustrate the theory with an
application taken from the theory of coupled oscillators. We indicate how many
Lagrangians can be obtained for such a system.
| nlin.SI | we demonstrate that the formalism for the calculation of the jacobi last multiplier for a onedegreeoffreedom system extends naturally to systems of more than one degree of freedom thereby extending results of whittaker dating from more than a century ago and rao it proc ben math soc bf 2 1940 5359 dating from almost seventy years ago we illustrate the theory with an application taken from the theory of coupled oscillators we indicate how many lagrangians can be obtained for such a system | [['we', 'demonstrate', 'that', 'the', 'formalism', 'for', 'the', 'calculation', 'of', 'the', 'jacobi', 'last', 'multiplier', 'for', 'a', 'onedegreeoffreedom', 'system', 'extends', 'naturally', 'to', 'systems', 'of', 'more', 'than', 'one', 'degree', 'of', 'freedom', 'thereby', 'extending', 'results', 'of', 'whittaker', 'dating', 'from', 'more', 'than', 'a', 'century', 'ago', 'and', 'rao', 'it', 'proc', 'ben', 'math', 'soc', 'bf', '2', '1940', '5359', 'dating', 'from', 'almost', 'seventy', 'years', 'ago', 'we', 'illustrate', 'the', 'theory', 'with', 'an', 'application', 'taken', 'from', 'the', 'theory', 'of', 'coupled', 'oscillators', 'we', 'indicate', 'how', 'many', 'lagrangians', 'can', 'be', 'obtained', 'for', 'such', 'a', 'system']] | [-0.06801742950465711, 0.06156766650472092, -0.09795054519639873, 0.010940403592341193, -0.025882404449498055, -0.1226607413973841, 0.011577953845716832, 0.299652116648603, -0.24374597329396483, -0.31056275905859543, 0.0751958547185584, -0.2952132989402588, -0.19446316427301344, 0.2930320050005188, -0.06861786162849834, -0.02509764057197949, 0.07171454266417862, 0.00949925499990946, -0.09760622480009659, -0.3216614181334834, 0.2658803240203003, 0.06801001380038697, 0.16752288106647206, 0.020157950924618577, 0.07676245071130192, 0.051416160203743635, -0.02228359830645254, -0.03392588877596143, -0.10367570329422383, 0.15211601837015734, 0.2300397040458714, 0.11664323040806665, 0.2895122527985311, -0.41629661499840637, -0.22313381800791476, 0.047570625303040556, 0.11081608389390678, 0.13576549931611048, 0.03832521854449779, -0.3158667599100892, 0.05313863718197908, -0.24496231862310486, -0.15645778885610948, -0.0705883151570494, 0.09224118194656401, -0.03258332309154112, -0.23531953220414678, 0.08955155417185402, 0.10019743370982569, 0.12680278941080336, -0.04720318995461595, -0.17429082472411142, -0.00981156928919074, 0.07526853903787346, 0.036204972258973414, 0.030159744541955795, 0.047353347936622436, -0.07349318137574123, -0.1341232480310903, 0.36709015378047055, -0.0525453139676623, -0.08755652707569846, 0.20936585451680712, -0.10041666308009042, -0.12869871652503384, 0.08956934652495675, 0.13146281314775257, 0.1392005830804431, -0.147388101612195, 0.12212291028188746, -0.0749417249987856, 0.13218827227381819, 0.15567832034671816, -0.03832336606332896, 0.1588275559365795, 0.13758230852190315, 0.06281422849151125, 0.07067352743030003, 0.013507113905578124, -0.16493216392061696, -0.26213509487215336, -0.19224251451780175, -0.16267538271140217, 0.12815918843261898, -0.024402057970469397, -0.06800987092755371, 0.41805680107507037, 0.1857916227777534, 0.133287613155184, 0.05368426168712265, 0.17213401643604767, 0.11573896232265525, 0.08067620219662786, 0.10724234720692039, 0.2522259802591601, 0.2300816765850092, 0.11382814191236365, -0.0975334819934399, -0.05119670618598054, 0.07302017632031405] |
709.3232 | High Resolution $\lambda$=1mm CARMA Observations of Large Molecules in
Orion-KL | We present high resolution, Combined Array for Research in Millimeter-Wave
Astronomy (CARMA), $\lambda$=1mm observations of several molecular species
toward Orion-KL. These are the highest spatial and spectral resolution 1mm
observations of these molecules to date. Our observations show that ethyl
cyanide [C$_2$H$_5$CN] and vinyl cyanide [C$_2$H$_3$CN] originate from multiple
cores near the Orion hot core and IRc7. Additionally we show that dimethyl
ether [(CH$_3$)$_2$O] and methyl formate [HCOOCH$_3$] originate from IRc5 and
IRc6 and that acetone [(CH$_3$)$_2$CO] originates only from areas where both
N-bearing and O-bearing species are present.
| astro-ph | we present high resolution combined array for research in millimeterwave astronomy carma lambda1mm observations of several molecular species toward orionkl these are the highest spatial and spectral resolution 1mm observations of these molecules to date our observations show that ethyl cyanide c_2h_5cn and vinyl cyanide c_2h_3cn originate from multiple cores near the orion hot core and irc7 additionally we show that dimethyl ether ch_3_2o and methyl formate hcooch_3 originate from irc5 and irc6 and that acetone ch_3_2co originates only from areas where both nbearing and obearing species are present | [['we', 'present', 'high', 'resolution', 'combined', 'array', 'for', 'research', 'in', 'millimeterwave', 'astronomy', 'carma', 'lambda1mm', 'observations', 'of', 'several', 'molecular', 'species', 'toward', 'orionkl', 'these', 'are', 'the', 'highest', 'spatial', 'and', 'spectral', 'resolution', '1mm', 'observations', 'of', 'these', 'molecules', 'to', 'date', 'our', 'observations', 'show', 'that', 'ethyl', 'cyanide', 'c_2h_5cn', 'and', 'vinyl', 'cyanide', 'c_2h_3cn', 'originate', 'from', 'multiple', 'cores', 'near', 'the', 'orion', 'hot', 'core', 'and', 'irc7', 'additionally', 'we', 'show', 'that', 'dimethyl', 'ether', 'ch_3_2o', 'and', 'methyl', 'formate', 'hcooch_3', 'originate', 'from', 'irc5', 'and', 'irc6', 'and', 'that', 'acetone', 'ch_3_2co', 'originates', 'only', 'from', 'areas', 'where', 'both', 'nbearing', 'and', 'obearing', 'species', 'are', 'present']] | [-0.024985827976793405, 0.10961295420392639, 0.027316613161625963, -0.034179910604420695, 0.011885072819755546, -0.10726655622766841, 0.011494729218871466, 0.5175885741288463, -0.13518163796869062, -0.2879873492444555, 0.10616219335740122, -0.30770146622810335, -0.07430267628626011, 0.09065565195245047, 0.024099383350749987, -0.08888258376654926, 0.09509038444819107, -0.17745625787037647, 0.08591983275255188, -0.06641400353761301, 0.2188117355551748, 0.08795500104315579, 0.18510833165852264, 0.09464779264609595, 0.06632560482692151, -0.2447015546439659, -0.039212515857625044, -0.08245225448072666, -0.1321715961993981, 0.1522723745909475, 0.3620304221376067, 0.116678141732423, 0.15882136118376539, -0.456940514168569, -0.27992723709238426, 0.032587179442911986, 0.15345097007229924, 0.08182783787404853, -0.03921717446203166, -0.33281850085006137, 0.020141015472334056, -0.1455152342982945, -0.12124311139286008, 0.03879445336462509, -0.006052300855073901, 0.08551029364267985, -0.15808693588423056, 0.13640444221562661, -0.08662926831415721, 0.12492656219928037, -0.13541374714224644, -0.3085628878436096, -0.07776346055158813, 0.12038919927380491, -0.033925770201936496, 0.030380129825235122, 0.22213028334884993, -0.08913203406458099, -0.052639758036959736, 0.4106992020138672, -0.1427136152550312, 0.04034881810435936, 0.3163231306964354, -0.22589327465920223, -0.37403308075209635, 0.24876751741768593, 0.07532874151643011, 0.16085820605180093, -0.10082983689998011, -0.06482541808855742, -0.07409712229300999, 0.23434486339933105, 0.17303413296827957, 0.07811330422936451, 0.269041129188346, 0.06060589234610753, 0.01399462869379758, 0.11823479434297908, -0.3129676242048542, -0.08002384796383835, -0.1133314310081048, -0.21924618205299512, -0.11192438659435582, 0.05132290785245243, -0.039768901297585604, -0.052632339598078816, 0.24242889721478736, 0.08214347620101069, 0.14914177785006663, 0.00963801107857199, 0.2782638831108454, -0.061314776934783106, 0.0711868109868928, 0.06918570747421611, 0.19953597477814627, 0.13747679753716857, 0.1302725235665483, -0.24398254734807692, 0.07503312254058463, -0.06146006661999438] |
709.3233 | Local-dephasing-induced entanglement sudden death in two-component
finite-dimensional systems | Entanglement sudden death (ESD), the complete loss of entanglement in finite
time, is demonstrated to occur in a class of bipartite states of qu-d-it pairs
of any finite dimension d > 2, when prepared in so-called `isotropic states'
and subject to multi-local dephasing noise alone. This extends previous results
for qubit pairs [T. Yu, J. H. Eberly, Phys. Rev. Lett. 97, 140403 (2006)] to
all qu-d-it pairs with d > 2.
| quant-ph | entanglement sudden death esd the complete loss of entanglement in finite time is demonstrated to occur in a class of bipartite states of qudit pairs of any finite dimension d 2 when prepared in socalled isotropic states and subject to multilocal dephasing noise alone this extends previous results for qubit pairs t yu j h eberly phys rev lett 97 140403 2006 to all qudit pairs with d 2 | [['entanglement', 'sudden', 'death', 'esd', 'the', 'complete', 'loss', 'of', 'entanglement', 'in', 'finite', 'time', 'is', 'demonstrated', 'to', 'occur', 'in', 'a', 'class', 'of', 'bipartite', 'states', 'of', 'qudit', 'pairs', 'of', 'any', 'finite', 'dimension', 'd', '2', 'when', 'prepared', 'in', 'socalled', 'isotropic', 'states', 'and', 'subject', 'to', 'multilocal', 'dephasing', 'noise', 'alone', 'this', 'extends', 'previous', 'results', 'for', 'qubit', 'pairs', 't', 'yu', 'j', 'h', 'eberly', 'phys', 'rev', 'lett', '97', '140403', '2006', 'to', 'all', 'qudit', 'pairs', 'with', 'd', '2']] | [-0.14450340429860828, 0.23179313380261074, 0.022981945685519284, -0.05264893334790848, 0.04127626896471433, -0.24556468445402774, 0.08184609614798556, 0.3162619524324934, -0.13354118418900054, -0.26180833679340454, -0.07356139917459771, -0.2818474869945667, -0.06396001257488261, 0.14451723509177944, -0.1536427430430616, 0.06781376666132954, 0.07390600418590981, 0.010560910912581545, -0.051321856879993626, -0.39651023437255534, 0.21695891175203133, 0.0014908755589546502, 0.28985346037012094, 0.054064118775768555, 0.04940886687203918, 0.08815784269498418, 0.013594482090675097, -0.04367672947599836, -0.1534392824936388, -0.015056295234345547, 0.26736298316846724, 0.13277901099333406, 0.2502162026754324, -0.3400124213455812, -0.24302956957262065, 0.1992703725421882, 0.029305474603197712, 0.185215147347122, 0.10526373149638159, -0.3702308513305109, 0.013839747706104232, -0.2279201652314784, -0.11734166956655141, -0.06824013946469927, 0.21108140356406785, -0.07023780344162082, -0.335713904350996, 0.19778075666787723, 0.17442690500098726, 0.09076103711149831, 0.0512663246118936, -0.04172409333936546, -0.06088780334381306, 0.00393644226689661, -0.12871674520800402, 0.07751644939265173, 0.07251406668860844, -0.00792747414400936, -0.20606180577390437, 0.25239389372881554, -0.06828166587291744, -0.17148549727879572, 0.23520366441748658, -0.18512657733526136, -0.10281694149328531, 0.10816689322878054, 0.10394133485691703, 0.14090623332700436, -0.1323687261406187, 0.11302261862927454, -0.03822057026073984, 0.13941927694216155, 0.1446776895419411, 0.11193239535002605, 0.05634014975731733, 0.025877952410340094, 0.02279779763109442, 0.18037258176659438, -0.06166252895406839, -0.07342742953746431, -0.3239519159862961, -0.18456751177006442, -0.2859368193776522, 0.21012198196832035, 0.022342213065290918, -0.07626281404678804, 0.3810929227350415, 0.048018225131259445, 0.24189568379812915, -0.007330819559486016, 0.12651738822730124, 0.034169363411332386, -0.010231080815951893, 0.18478285473352973, 0.1670910908344566, 0.21677172502529793, 0.05097629791260629, -0.2823968065457176, -0.02656168107321297, 0.04696293462040848] |
709.3234 | Symmetry and magnetically driven ferroelectricity in rare-earth
manganites RMnO3 (R=Gd, Tb, Dy) | This work investigates the magnetically driven ferroelectricity in
orthorhombic manganites RMnO3 (R=Gd, Dy or Tb) from the point of view of the
symmetry. The method adopted generalizes the one used to characterize the polar
properties of displacive modulated structures to the case of an irreducible
magnetic order parameter. The symmetry conditions for magnetically induced
ferroelectricity are established and the Landau-Devonshire free energy
functionals derived from general symmetry considerations. The ferroelectric
polarisation observed in DyMnO3 and TbMnO3 at zero magnetic field is explained
in terms of the symmetry of a reducible magnetic order parameter. The
polarisation rotation induced in these compounds by external magnetic fields
and the stabilization of a ferroelectric phase in GdMnO3 are accounted for by a
mechanism in which magnetization and polarization are secondary order
parameters that are not directly coupled but compete with each other through
their coupling to competing primary modulated order parameters.
| cond-mat.mtrl-sci | this work investigates the magnetically driven ferroelectricity in orthorhombic manganites rmno3 rgd dy or tb from the point of view of the symmetry the method adopted generalizes the one used to characterize the polar properties of displacive modulated structures to the case of an irreducible magnetic order parameter the symmetry conditions for magnetically induced ferroelectricity are established and the landaudevonshire free energy functionals derived from general symmetry considerations the ferroelectric polarisation observed in dymno3 and tbmno3 at zero magnetic field is explained in terms of the symmetry of a reducible magnetic order parameter the polarisation rotation induced in these compounds by external magnetic fields and the stabilization of a ferroelectric phase in gdmno3 are accounted for by a mechanism in which magnetization and polarization are secondary order parameters that are not directly coupled but compete with each other through their coupling to competing primary modulated order parameters | [['this', 'work', 'investigates', 'the', 'magnetically', 'driven', 'ferroelectricity', 'in', 'orthorhombic', 'manganites', 'rmno3', 'rgd', 'dy', 'or', 'tb', 'from', 'the', 'point', 'of', 'view', 'of', 'the', 'symmetry', 'the', 'method', 'adopted', 'generalizes', 'the', 'one', 'used', 'to', 'characterize', 'the', 'polar', 'properties', 'of', 'displacive', 'modulated', 'structures', 'to', 'the', 'case', 'of', 'an', 'irreducible', 'magnetic', 'order', 'parameter', 'the', 'symmetry', 'conditions', 'for', 'magnetically', 'induced', 'ferroelectricity', 'are', 'established', 'and', 'the', 'landaudevonshire', 'free', 'energy', 'functionals', 'derived', 'from', 'general', 'symmetry', 'considerations', 'the', 'ferroelectric', 'polarisation', 'observed', 'in', 'dymno3', 'and', 'tbmno3', 'at', 'zero', 'magnetic', 'field', 'is', 'explained', 'in', 'terms', 'of', 'the', 'symmetry', 'of', 'a', 'reducible', 'magnetic', 'order', 'parameter', 'the', 'polarisation', 'rotation', 'induced', 'in', 'these', 'compounds', 'by', 'external', 'magnetic', 'fields', 'and', 'the', 'stabilization', 'of', 'a', 'ferroelectric', 'phase', 'in', 'gdmno3', 'are', 'accounted', 'for', 'by', 'a', 'mechanism', 'in', 'which', 'magnetization', 'and', 'polarization', 'are', 'secondary', 'order', 'parameters', 'that', 'are', 'not', 'directly', 'coupled', 'but', 'compete', 'with', 'each', 'other', 'through', 'their', 'coupling', 'to', 'competing', 'primary', 'modulated', 'order', 'parameters']] | [-0.19670523258027475, 0.23025841432947072, 0.0056923221270902226, 0.0289747760564621, -0.08334183503975015, -0.10242436010213125, 0.035750544522287084, 0.400688173341229, -0.3173952968537706, -0.266576586531944, 0.04607668061119815, -0.25054997037209215, -0.1234599167344851, 0.15721329649574547, 0.03433819689160707, -0.026441289121475146, -0.1001035042446056, 0.004669383275924492, -0.08297533612400547, -0.1940253011495838, 0.28210392073557083, 0.014475561621785798, 0.2896149846706159, 0.006786664461615641, 0.048990489908677784, -0.023291110732675004, 0.08783873308728747, 0.03448309019828836, -0.14930151760457186, 0.06792871772508029, 0.23636143069815677, -0.06183347256765479, 0.13529162983834542, -0.42548599369114354, -0.21929900958297813, 0.06563629925909902, 0.07955322232173413, 0.11847314155790448, -0.06804928084562982, -0.2755307200963476, 0.060209250581279704, -0.1189114010107203, -0.15354189098983698, -0.13528773667715288, -0.07246044931575327, 0.031179390699194023, -0.3084502193069428, 0.08662969136743673, 0.1127438373193715, 0.1382681422543769, -0.15143477736630154, -0.12713169077724903, -0.12081275060519475, 0.0530780069989336, 0.11558874353899487, 0.09393138466022756, 0.11705174081369626, -0.09263911348970315, -0.13348328439379428, 0.3910404643056547, -0.03083336958344899, -0.12094777389936352, 0.12899751469435894, -0.2062346863807464, -0.10799539967861381, 0.17253474699536048, 0.12062009538169063, 0.13049602525967624, -0.15454716804646412, 0.10431246880955082, 0.06963035525741423, 0.15506193525776374, 0.03763412447253458, 0.05794643820303042, 0.23472783516864387, 0.13141708851310419, 0.0098006212228567, 0.14772781368612697, -0.07481096435946469, -0.07272756278362809, -0.2560961931836189, -0.10279522862184007, -0.16472449497680883, 0.020532257375121276, -0.0758806816931833, -0.15635052092886548, 0.4078858315431494, 0.13697830798756966, 0.14252397668909053, -0.11486797479890465, 0.2630020145795682, 0.08626378741476456, 0.08371879081368497, 0.011635370939007017, 0.2923859546996881, 0.1968662303676005, 0.1038595471486804, -0.2904977580139629, 0.11499233696242275, 0.04236797480305441] |
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