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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709.0735 | Magnetogenesis from Rotating Cosmic String Loops | We present a mechanism to create vortices in a plasma via gravitational
dragging behind rotating cosmic string loops. The vortical motions create
magnetic fields by means of the Harrison-Rees mechanism; the fields are further
enhanced through galactic collapse and dynamo amplification. Employing the
Velocity dependent One Scale model (VOS) for the string network and
incorporating loop dynamics, we compute the magnetic fields generated around
the time of decoupling: these are just strong and coherent enough to account
for presently observed magnetic fields in spiral galaxies if efficient dynamos
with $\Gamma_{dy}^{-1}\approx 0.3$ Gyr are present.
| astro-ph hep-th | we present a mechanism to create vortices in a plasma via gravitational dragging behind rotating cosmic string loops the vortical motions create magnetic fields by means of the harrisonrees mechanism the fields are further enhanced through galactic collapse and dynamo amplification employing the velocity dependent one scale model vos for the string network and incorporating loop dynamics we compute the magnetic fields generated around the time of decoupling these are just strong and coherent enough to account for presently observed magnetic fields in spiral galaxies if efficient dynamos with gamma_dy1approx 03 gyr are present | [['we', 'present', 'a', 'mechanism', 'to', 'create', 'vortices', 'in', 'a', 'plasma', 'via', 'gravitational', 'dragging', 'behind', 'rotating', 'cosmic', 'string', 'loops', 'the', 'vortical', 'motions', 'create', 'magnetic', 'fields', 'by', 'means', 'of', 'the', 'harrisonrees', 'mechanism', 'the', 'fields', 'are', 'further', 'enhanced', 'through', 'galactic', 'collapse', 'and', 'dynamo', 'amplification', 'employing', 'the', 'velocity', 'dependent', 'one', 'scale', 'model', 'vos', 'for', 'the', 'string', 'network', 'and', 'incorporating', 'loop', 'dynamics', 'we', 'compute', 'the', 'magnetic', 'fields', 'generated', 'around', 'the', 'time', 'of', 'decoupling', 'these', 'are', 'just', 'strong', 'and', 'coherent', 'enough', 'to', 'account', 'for', 'presently', 'observed', 'magnetic', 'fields', 'in', 'spiral', 'galaxies', 'if', 'efficient', 'dynamos', 'with', 'gamma_dy1approx', '03', 'gyr', 'are', 'present']] | [-0.18352222721169592, 0.25986482106837566, -0.049127577004306346, 0.14620955854542958, -0.1015501580727489, -0.05115020962219442, 0.00913745255978859, 0.3948797542682808, -0.24804292177862447, -0.32990146184380614, 0.044940737758145624, -0.18038431613746544, -0.08133239919097042, 0.21237067369815044, 0.06493824813008794, -0.05204357278695249, -0.008377301380159739, -0.03068671543556063, 0.04019142226720958, -0.20273619439483256, 0.3263201820752685, 0.0836842164306132, 0.22913874522782862, -0.018249079331998593, 0.10785716165201334, -0.0777090699462544, -0.03401854428786622, 0.04206547940671242, -0.11783802498346473, 0.0454859178900496, 0.15115784472563182, 0.053846357985014984, 0.20237752708161008, -0.5259458752774188, -0.2526959806032803, 0.04739642481866252, 0.20100376582432428, 0.17327774117660263, -0.11879221705780567, -0.2815423416702644, 0.0936201699786698, -0.12949041401051267, -0.14238321970966036, -0.09753748566752461, 0.019468119236357186, 0.024217986289168828, -0.26857345970347524, 0.11726281071162742, 0.04991149491853202, 0.0756634090743635, -0.09291651118647955, 0.005078623051066761, -0.029478374145464444, 0.08791591525621935, 0.08011482053173138, 0.11303209763465692, 0.22863118169555927, -0.16827675982621376, -0.10519985449702843, 0.379239632555729, -0.08309548466628336, -0.10642449437316669, 0.15013250145737245, -0.1886575895047787, -0.08841002801858375, 0.14387494884937516, 0.17651789354251535, 0.10532288123036067, -0.12501868274589273, 0.03379072421850414, 0.025541257950902473, 0.12340502137490346, 0.0847271284463046, 0.02170645396488354, 0.3350909282453358, 0.14407931766270296, -0.0007198515510105568, 0.11168046692467254, -0.15240390007586582, -0.10004486802600972, -0.2857622772242631, -0.060522976817320225, -0.0713406689060123, 0.035654801328707, -0.09055038570738322, -0.16626368950971443, 0.36103559544046776, 0.17448658661147498, 0.16348403059806593, -0.007071279862429947, 0.3124751980522769, 0.07318102875243589, 0.12732356306894319, 0.16355664858027644, 0.3134761492053614, 0.2186497809471684, 0.12497929060507727, -0.2377937773708254, 0.003636047760348605, 0.0696513611904305] |
709.0736 | On the Emergence of Unstable Modes in an Expanding Domain for
Energy-Conserving Wave Equations | Motivated by recent work on instabilities in expanding domains in
reaction-diffusion settings, we propose an analog of such mechanisms in
energy-conserving wave equations. In particular, we consider a nonlinear
Schr{\"o}dinger equation in a finite domain and show how the expansion or
contraction of the domain, under appropriate conditions, can destabilize its
originally stable solutions through the modulational instability mechanism.
Using both real and Fourier spacediagnostics, we monitor and control the
crossing of the instability threshold and, hence, the activation of the
instability. We also consider how the manifestation of this mechanism is
modified in a spatially inhomogeneous setting, namely in the presence of an
external parabolic potential, which is relevant to trapped Bose-Einstein
condensates.
| nlin.PS | motivated by recent work on instabilities in expanding domains in reactiondiffusion settings we propose an analog of such mechanisms in energyconserving wave equations in particular we consider a nonlinear schrodinger equation in a finite domain and show how the expansion or contraction of the domain under appropriate conditions can destabilize its originally stable solutions through the modulational instability mechanism using both real and fourier spacediagnostics we monitor and control the crossing of the instability threshold and hence the activation of the instability we also consider how the manifestation of this mechanism is modified in a spatially inhomogeneous setting namely in the presence of an external parabolic potential which is relevant to trapped boseeinstein condensates | [['motivated', 'by', 'recent', 'work', 'on', 'instabilities', 'in', 'expanding', 'domains', 'in', 'reactiondiffusion', 'settings', 'we', 'propose', 'an', 'analog', 'of', 'such', 'mechanisms', 'in', 'energyconserving', 'wave', 'equations', 'in', 'particular', 'we', 'consider', 'a', 'nonlinear', 'schrodinger', 'equation', 'in', 'a', 'finite', 'domain', 'and', 'show', 'how', 'the', 'expansion', 'or', 'contraction', 'of', 'the', 'domain', 'under', 'appropriate', 'conditions', 'can', 'destabilize', 'its', 'originally', 'stable', 'solutions', 'through', 'the', 'modulational', 'instability', 'mechanism', 'using', 'both', 'real', 'and', 'fourier', 'spacediagnostics', 'we', 'monitor', 'and', 'control', 'the', 'crossing', 'of', 'the', 'instability', 'threshold', 'and', 'hence', 'the', 'activation', 'of', 'the', 'instability', 'we', 'also', 'consider', 'how', 'the', 'manifestation', 'of', 'this', 'mechanism', 'is', 'modified', 'in', 'a', 'spatially', 'inhomogeneous', 'setting', 'namely', 'in', 'the', 'presence', 'of', 'an', 'external', 'parabolic', 'potential', 'which', 'is', 'relevant', 'to', 'trapped', 'boseeinstein', 'condensates']] | [-0.1678275480800498, 0.13965512720885506, -0.08108929397983361, 0.050526124819808234, -0.07003762843128525, -0.09242491859250364, -0.00042443430727034546, 0.33086565529012774, -0.3026517121558102, -0.20024725128855325, 0.1364466899447555, -0.215729389277872, -0.19652345047365313, 0.17258008289155014, -0.03051951356681344, 0.05387535862226979, 0.0015980341076125614, -0.002287353351877063, -0.023836368167426732, -0.1956338634491956, 0.3990144094295668, 0.02306570083034777, 0.2873291405251629, 0.05069114940510898, 0.08344313747505039, -0.0194040925192556, 0.0327326146992896, -0.002079202587493753, -0.1619874054475366, 0.05606789549037946, 0.19424716579167386, 0.06336276590477972, 0.30057782580894704, -0.48891579185043815, -0.27024098507136896, 0.10987906823083099, 0.19612494823564075, 0.151905190496962, -0.08585335611828306, -0.28632943010765366, 0.030310845328082817, -0.15804936633799718, -0.18884131400145393, -0.07172363653647161, 0.006955954955017145, 0.057799384492424735, -0.3016888801733741, 0.1257086389435896, 0.10320106605315103, 0.02761852973660009, -0.1523689553357941, 0.0290818629555602, 0.014160501300892999, 0.029669389332669365, 0.01968175814017258, -0.009756640325077868, 0.07675859240600758, -0.1648401261031199, -0.10672284897614633, 0.37992302908570363, -0.10504575820425444, -0.23951164876992723, 0.1984566538800708, -0.12263009285933413, -0.05655778594216151, 0.09380070903890692, 0.21136289827146493, 0.1521238916949163, -0.12315604747149402, 0.09512811830572257, -0.005447763389061964, 0.12190552848284092, 0.1064763644594798, -0.0062584411929798335, 0.17209816121071808, 0.1845155812756661, 0.059601666166785014, 0.19585106012502077, -0.04148355536564641, -0.13220499203729946, -0.3230015863952911, -0.11292658466021571, -0.12210510987623603, 0.03111807815460138, -0.03819217196144411, -0.17685507518956356, 0.3945890255396015, 0.15383808661367646, 0.18104953370757598, -0.06498846071215957, 0.2697156818698993, 0.1624923160802408, 0.034041489330244014, 0.055606075841469885, 0.23674774228438603, 0.10887696375386312, 0.1080621901747103, -0.2778999393690476, 0.021654593260686812, 0.06200151016062076] |
709.0737 | On the existence of tight contact structures on Seifert fibered
3-manifolds | We determine the closed, oriented Seifert fibered 3-manifolds which carry
positive tight contact structures. Our main tool is a new non-vanishing
criterion for the contact Ozsvath-Szabo invariant.
| math.SG math.GT | we determine the closed oriented seifert fibered 3manifolds which carry positive tight contact structures our main tool is a new nonvanishing criterion for the contact ozsvathszabo invariant | [['we', 'determine', 'the', 'closed', 'oriented', 'seifert', 'fibered', '3manifolds', 'which', 'carry', 'positive', 'tight', 'contact', 'structures', 'our', 'main', 'tool', 'is', 'a', 'new', 'nonvanishing', 'criterion', 'for', 'the', 'contact', 'ozsvathszabo', 'invariant']] | [-0.35728978158699143, 0.0923636191421085, -0.15702785565345376, 0.20580525932988772, -0.15193995629885682, -0.29344215490682807, 0.013318386480764107, 0.3192372422803331, -0.2490874862091409, -0.29219543247449176, -0.001573386196805923, -0.20012648301888947, -0.2352559144427586, 0.20333849155792483, -0.1277817658804081, 0.03950985645254453, 0.11309357703214994, 0.031023124025927648, -0.08729474770802038, -0.2559502496625538, 0.46658580018966284, -0.03010312695470121, 0.22446226687343032, 0.22307544468936544, 0.12952804280831953, -0.023380795459228533, -0.054610037279349787, 0.030834815930575132, -0.32711887759742914, 0.1379060826988684, 0.2616772007162648, -0.058167678476483735, 0.018721597269177437, -0.31757061904365264, -0.1294628553506401, 0.12891392794403214, 0.06626529201727223, -0.026368086273712968, -0.01998839065156601, -0.2905859178690999, 0.1325875267179476, -0.10759401914698107, -0.20302127270648876, -0.10849271545669546, 0.03574446761221797, -0.039856468292850035, -0.13960784302886436, -0.06150496801085494, 0.15104091408903952, 0.12346679217147606, -0.02339225031297516, -0.08901193841463989, -0.021551162030340895, 0.2692825077963924, -0.029609825970880962, 0.12055557943380403, 0.14252810031865482, 0.01724113641237771, -0.07851021337598839, 0.2751648773749669, -0.12366353037456672, -0.3317887921024252, 0.123783471752648, -0.06587336602172365, -0.26758058327767587, 0.25084605085215084, 0.10273023563678618, 0.19072827748540375, -0.08449477619594997, 0.07466916214778191, -0.15252323769446877, 0.057556729211851405, 0.09056496606380851, -0.12470977946564003, 0.2757316649787956, 0.06891322056590407, 0.18174194399681357, 0.18834419596802304, -0.018606373936765723, -0.06982396727565814, -0.37454854134746174, -0.2935919285648399, -0.11229648732545751, 0.23598413102121818, -0.11534583111535068, -0.2658185011327819, 0.33606637614192786, -0.06931716003627689, 0.13291732739243242, 0.188095042313863, 0.3180660849644078, -0.034278476382260795, 0.07658647780341131, 0.10300697712227702, 0.1495858027289311, 0.24798737562916898, -0.06505302127657665, -0.08657461789402145, -0.0034110710990649684, 0.1890063292208921] |
709.0738 | A quantum characterization of NP | In this article we introduce a new complexity class called PQMA_log(2).
Informally, this is the class of languages for which membership has a
logarithmic-size quantum proof with perfect completeness and soundness which is
polynomially close to 1 in a context where the verifier is provided a proof
with two unentangled parts. We then show that PQMA_log(2) = NP. For this to be
possible, it is important, when defining the class, not to give too much power
to the verifier. This result, when compared to the fact that QMA_log = BQP,
gives us new insight on the power of quantum information and the impact of
entanglement.
| quant-ph | in this article we introduce a new complexity class called pqma_log2 informally this is the class of languages for which membership has a logarithmicsize quantum proof with perfect completeness and soundness which is polynomially close to 1 in a context where the verifier is provided a proof with two unentangled parts we then show that pqma_log2 np for this to be possible it is important when defining the class not to give too much power to the verifier this result when compared to the fact that qma_log bqp gives us new insight on the power of quantum information and the impact of entanglement | [['in', 'this', 'article', 'we', 'introduce', 'a', 'new', 'complexity', 'class', 'called', 'pqma_log2', 'informally', 'this', 'is', 'the', 'class', 'of', 'languages', 'for', 'which', 'membership', 'has', 'a', 'logarithmicsize', 'quantum', 'proof', 'with', 'perfect', 'completeness', 'and', 'soundness', 'which', 'is', 'polynomially', 'close', 'to', '1', 'in', 'a', 'context', 'where', 'the', 'verifier', 'is', 'provided', 'a', 'proof', 'with', 'two', 'unentangled', 'parts', 'we', 'then', 'show', 'that', 'pqma_log2', 'np', 'for', 'this', 'to', 'be', 'possible', 'it', 'is', 'important', 'when', 'defining', 'the', 'class', 'not', 'to', 'give', 'too', 'much', 'power', 'to', 'the', 'verifier', 'this', 'result', 'when', 'compared', 'to', 'the', 'fact', 'that', 'qma_log', 'bqp', 'gives', 'us', 'new', 'insight', 'on', 'the', 'power', 'of', 'quantum', 'information', 'and', 'the', 'impact', 'of', 'entanglement']] | [-0.06937409095466136, 0.06452671138104052, -0.10480095695937053, 0.07433828360401094, -0.1189421654259786, -0.19190301785245537, 0.06531618540640921, 0.30417573522776364, -0.3027839259058237, -0.2934022776875645, 0.09408955534454436, -0.2308321549370885, -0.12228765032254159, 0.2088194295950234, -0.12817898948676884, 0.029740172014571728, 0.056438777204602955, 0.06957947737217182, -0.01278685153054539, -0.29218992261914534, 0.3474126243032515, 0.015627459182869643, 0.2082158553414047, 0.09599684013985098, 0.07174003934487701, -0.009049323834478856, 0.03449673207011074, 0.05848482284112833, -0.14078574529456092, 0.14211777358083055, 0.29944418180268256, 0.18270084932912142, 0.30740645887330176, -0.34577265847474337, -0.12232603476848453, 0.13916447405237706, 0.11107104402501136, 0.1473953745746985, -0.042924862193176525, -0.26537987412419173, 0.14877106626518072, -0.18277375301346183, -0.0730694157187827, -0.061135174557566646, 0.05913528999313712, -0.035412328233942386, -0.2556113543221727, -0.012240535654127598, 0.1589350277930498, 0.016510080229490996, 0.023290439285337926, -0.04747885298449546, 0.0710585120273754, 0.10131012576457579, 0.008107992708683015, 0.06167596656712703, 0.044362034648656845, -0.10587747168727218, -0.11848329391796142, 0.3848877028748393, -0.0009829616802744566, -0.22442986579611898, 0.20507181046996265, -0.1212204343546182, -0.17814781005494296, 0.08183195451274514, 0.12655876151286066, 0.0955452920217067, -0.11017417318798835, 0.09688910365453922, -0.08718470631167292, 0.23448098910972476, 0.042940856693312525, 0.10838545811362564, 0.1472871097549796, 0.14293278323020786, 0.10354237805120647, 0.21023033643490635, -0.016274620189797133, -0.10973214135097806, -0.31774544714950026, -0.23051855341996996, -0.1991937343776226, 0.08099470944391214, -0.040756442113488445, -0.17546899072825908, 0.41528792487457394, 0.17497795045375825, 0.1618816641671583, 0.1405032578879036, 0.3114428797736764, 0.1186495114536956, 0.059304371578618884, 0.10450987232849002, 0.23113852210342883, 0.10314595526549965, 0.06865550118032843, -0.1610212556226179, 0.09831113835331053, 0.06950791005976498] |
709.0739 | Reply to Comment on the paper ``Energy Loss of Charm Quarks in the
Quark-Gluon Plasma: Collisional vs Radiative'' by Mishra et al | The comments raised in Ref. [1] by Mishra et al aim at two papers contained
in Ref. [2]. We show that those comments on Ref. [2] pointed out by Mishra et
al in Ref.[1] are not relevant and the concept used in Ref.[2] is consistent
and in compliance with the classical approximation of the transport
coefficients [3]. We would also like to note that most of the comments in Ref.
[1] were meant for light quarks, but are not even appropriate for heavy quarks.
| hep-ph | the comments raised in ref 1 by mishra et al aim at two papers contained in ref 2 we show that those comments on ref 2 pointed out by mishra et al in ref1 are not relevant and the concept used in ref2 is consistent and in compliance with the classical approximation of the transport coefficients 3 we would also like to note that most of the comments in ref 1 were meant for light quarks but are not even appropriate for heavy quarks | [['the', 'comments', 'raised', 'in', 'ref', '1', 'by', 'mishra', 'et', 'al', 'aim', 'at', 'two', 'papers', 'contained', 'in', 'ref', '2', 'we', 'show', 'that', 'those', 'comments', 'on', 'ref', '2', 'pointed', 'out', 'by', 'mishra', 'et', 'al', 'in', 'ref1', 'are', 'not', 'relevant', 'and', 'the', 'concept', 'used', 'in', 'ref2', 'is', 'consistent', 'and', 'in', 'compliance', 'with', 'the', 'classical', 'approximation', 'of', 'the', 'transport', 'coefficients', '3', 'we', 'would', 'also', 'like', 'to', 'note', 'that', 'most', 'of', 'the', 'comments', 'in', 'ref', '1', 'were', 'meant', 'for', 'light', 'quarks', 'but', 'are', 'not', 'even', 'appropriate', 'for', 'heavy', 'quarks']] | [-0.037899648607154154, 0.1622284464732123, -0.030573499906971675, 0.05696902577793004, -0.0660802487150899, -0.13041433955853185, 0.027439721483027653, 0.36055414374208167, -0.1282732103954047, -0.33135792289284016, 0.05020230634753326, -0.35069555181655143, -0.15527684172238446, 0.16925905494662447, -0.13274124484520317, 0.061855059500972163, 0.009695548275929122, 0.0015376420536388953, -0.021049195975397846, -0.3689218292988482, 0.31445705013105735, 0.08845615998974868, 0.19593715506960593, 0.10511555721140689, -0.002852930776065304, 0.017854557439152683, -0.12442808428646199, 0.024202391172626188, -0.14941067843496317, 0.04911593772426602, 0.23905966973065265, 0.07262250537695807, 0.244441223153401, -0.385936296921933, -0.196618376499308, 0.011993299415778546, 0.11803464446261171, 0.11291949644440874, -0.01023480165444891, -0.2627073953238626, 0.131677165943464, -0.18853229135164015, -0.1341534430504821, -0.06714998912537426, 0.09212864097207785, -0.004300447169780021, -0.23855973556194277, 0.0832880435790728, 0.12014169775925222, 0.05134350423412841, -0.00261942609878523, -0.20778055290602856, 0.017661514608854696, 0.024160188642175246, 0.0340656965743706, 0.06986451166171935, 0.055434876398759936, -0.09427048010929, -0.14122596062675474, 0.3526214145323528, -0.03506448022311642, -0.1782177536570955, 0.18451854451614919, -0.12524746773054912, -0.16667012883061988, 0.03031741382021989, 0.09550976091884963, 0.09497986532404043, -0.15561538128670127, 0.10328982212619546, -0.08483104722108692, 0.17135396100846784, 0.12742921402899637, -0.03186185589237582, 0.1350085800957112, 0.06846775558023226, -0.0731100816102255, 0.015689077044260643, -0.012675372576008417, -0.05683871551134091, -0.3457639005611695, -0.1623103356631916, -0.15515601322320954, 0.053508425325812174, 0.04941617460246475, -0.01692215772345662, 0.35507968635786147, 0.21466245453657826, 0.19722880542810475, -0.0532054047743302, 0.1738410873139011, 0.048797040193762985, 0.0013077375368170795, 0.14879808123112612, 0.30520156358501743, 0.07922873460587912, 0.1677571866395218, -0.12464068296165871, 0.018173374113671127, 0.0918576354937007] |
709.074 | High-temperature behaviour of the helium-like K ALPHA G ratio: the
effect of improved recombination rate coefficients for calcium, iron, and
nickel | It is shown that above the temperature of maximum abundance, recombination
rates into the excited states of He-like ions that are calculated using
earlier, more approximate methods differ markedly from rates obtained from
recent distorted-wave and R-Matrix calculations (unified recombination rate
coefficients) for Ca, Fe, and Ni. The present rates lead to G ratios that are
greatly lower than those resulting from the more approximate rates in previous
works, by up to a factor of six at high electron temperatures. Excellent
agreement between the distorted-wave and the R-Matrix rates, as well as
excellent agreement in the G ratios calculated from them, provides support for
the accuracy of these new values which have a broad applicability to the
modelling and interpreting of X-ray spectra from a variety of astrophysical and
laboratory sources.
| astro-ph physics.atom-ph | it is shown that above the temperature of maximum abundance recombination rates into the excited states of helike ions that are calculated using earlier more approximate methods differ markedly from rates obtained from recent distortedwave and rmatrix calculations unified recombination rate coefficients for ca fe and ni the present rates lead to g ratios that are greatly lower than those resulting from the more approximate rates in previous works by up to a factor of six at high electron temperatures excellent agreement between the distortedwave and the rmatrix rates as well as excellent agreement in the g ratios calculated from them provides support for the accuracy of these new values which have a broad applicability to the modelling and interpreting of xray spectra from a variety of astrophysical and laboratory sources | [['it', 'is', 'shown', 'that', 'above', 'the', 'temperature', 'of', 'maximum', 'abundance', 'recombination', 'rates', 'into', 'the', 'excited', 'states', 'of', 'helike', 'ions', 'that', 'are', 'calculated', 'using', 'earlier', 'more', 'approximate', 'methods', 'differ', 'markedly', 'from', 'rates', 'obtained', 'from', 'recent', 'distortedwave', 'and', 'rmatrix', 'calculations', 'unified', 'recombination', 'rate', 'coefficients', 'for', 'ca', 'fe', 'and', 'ni', 'the', 'present', 'rates', 'lead', 'to', 'g', 'ratios', 'that', 'are', 'greatly', 'lower', 'than', 'those', 'resulting', 'from', 'the', 'more', 'approximate', 'rates', 'in', 'previous', 'works', 'by', 'up', 'to', 'a', 'factor', 'of', 'six', 'at', 'high', 'electron', 'temperatures', 'excellent', 'agreement', 'between', 'the', 'distortedwave', 'and', 'the', 'rmatrix', 'rates', 'as', 'well', 'as', 'excellent', 'agreement', 'in', 'the', 'g', 'ratios', 'calculated', 'from', 'them', 'provides', 'support', 'for', 'the', 'accuracy', 'of', 'these', 'new', 'values', 'which', 'have', 'a', 'broad', 'applicability', 'to', 'the', 'modelling', 'and', 'interpreting', 'of', 'xray', 'spectra', 'from', 'a', 'variety', 'of', 'astrophysical', 'and', 'laboratory', 'sources']] | [0.0011062182926835904, 0.0851258174800634, -0.02082814298612812, 0.07590589040396238, 0.03562893659740203, -0.12202248402039399, 0.08850234513924607, 0.4197671971966349, -0.18618186460879013, -0.3373529632355421, 0.022686151245552053, -0.3020959850329593, -0.011340151271224733, 0.2861520674076102, 0.047613844175943894, 0.04011848938790459, 0.0792685432203171, -0.009676749080878093, -0.10823882116317635, -0.18441785958716433, 0.2540976409569297, 0.14501279461702318, 0.28934745286513147, 0.05287512472496574, 0.019318254863601603, -0.05801422001424295, -0.01624681401059373, 0.02221183968665263, -0.13329924525285827, 0.1354139188481388, 0.29315399007253234, 0.07962492639767646, 0.15457714937328723, -0.4132451271026872, -0.21882253399657314, 0.02159673518693174, 0.14267188990186502, 0.13515357087270308, -0.07132988390161742, -0.244045659155009, 0.0581461664587828, -0.19223784429255789, -0.09408468105439238, -0.06837876119032388, 0.03294262296399315, 0.060338122997688884, -0.29666553211277563, 0.1237706555593901, -0.017517424365398937, 0.05623301721255976, -0.09992523702529778, -0.23441783871274186, -0.0480423747892456, 0.10145046395953489, 0.050287705645292204, 0.03584382822737098, 0.12556566218027973, -0.11299992358767008, -0.09004622478240688, 0.38448679410916475, -0.1094926009155705, -0.07194014400499694, 0.2344308827669566, -0.17210798975407282, -0.10903682564971755, 0.23352666264968633, 0.12383479282672283, 0.14492722145612316, -0.13011794640391156, 0.0429602753089293, -0.01407511429221348, 0.1441485009810226, 0.08411886726456289, 0.04789986409758349, 0.18047908613749758, 0.07253712320696733, -0.036367912234681596, 0.05102361761431658, -0.0981794600039525, -0.09202623285196779, -0.2505142281813021, -0.09360817189591418, -0.11154566178780817, 0.05305113688729817, -0.10410830477652058, -0.07894484398069877, 0.3398987469334468, 0.16413817214708462, 0.264074535841364, 0.05735584998499773, 0.2525795097569473, 0.14521708270314485, 0.055031201340087495, 0.06493739608518836, 0.28989702007441803, 0.1802198133761959, 0.0691870310066538, -0.24026938564968758, 0.09735358354034798, 0.049285847220911096] |
709.0741 | Galois extensions and subspaces of bilinear forms with special rank
properties | Let K be a field admitting a cyclic Galois extension of degree n. The main
result of this paper is a decomposition theorem for the space of alternating
bilinear forms defined on a vector space of odd dimension n over K. We show
that this space of forms is the direct sum of (n-1)/2 subspaces, each of
dimension n, and the non-zero elements in each subspace have constant rank
defined in terms of the orders of the Galois automorphisms. Furthermore, if
ordered correctly, for each integer k lying between 1 and (n-1)/2, the rank of
any non-zero element in the sum of the first k subspaces is at most n-2k+1.
Slightly less sharp similar results hold for cyclic extensions of even degree.
| math.AC | let k be a field admitting a cyclic galois extension of degree n the main result of this paper is a decomposition theorem for the space of alternating bilinear forms defined on a vector space of odd dimension n over k we show that this space of forms is the direct sum of n12 subspaces each of dimension n and the nonzero elements in each subspace have constant rank defined in terms of the orders of the galois automorphisms furthermore if ordered correctly for each integer k lying between 1 and n12 the rank of any nonzero element in the sum of the first k subspaces is at most n2k1 slightly less sharp similar results hold for cyclic extensions of even degree | [['let', 'k', 'be', 'a', 'field', 'admitting', 'a', 'cyclic', 'galois', 'extension', 'of', 'degree', 'n', 'the', 'main', 'result', 'of', 'this', 'paper', 'is', 'a', 'decomposition', 'theorem', 'for', 'the', 'space', 'of', 'alternating', 'bilinear', 'forms', 'defined', 'on', 'a', 'vector', 'space', 'of', 'odd', 'dimension', 'n', 'over', 'k', 'we', 'show', 'that', 'this', 'space', 'of', 'forms', 'is', 'the', 'direct', 'sum', 'of', 'n12', 'subspaces', 'each', 'of', 'dimension', 'n', 'and', 'the', 'nonzero', 'elements', 'in', 'each', 'subspace', 'have', 'constant', 'rank', 'defined', 'in', 'terms', 'of', 'the', 'orders', 'of', 'the', 'galois', 'automorphisms', 'furthermore', 'if', 'ordered', 'correctly', 'for', 'each', 'integer', 'k', 'lying', 'between', '1', 'and', 'n12', 'the', 'rank', 'of', 'any', 'nonzero', 'element', 'in', 'the', 'sum', 'of', 'the', 'first', 'k', 'subspaces', 'is', 'at', 'most', 'n2k1', 'slightly', 'less', 'sharp', 'similar', 'results', 'hold', 'for', 'cyclic', 'extensions', 'of', 'even', 'degree']] | [-0.22007804100027645, 0.17291361338184139, -0.027543137288942445, -0.014608447000071346, -0.03448270132276611, -0.13746992932235608, 0.005975056064628126, 0.2968926804720378, -0.30495013770376345, -0.2172550170483892, 0.07422357622522587, -0.25958940244783635, -0.12549324351130053, 0.1513881950684991, -0.026701233393634807, -0.050120085788905984, -0.00564709125605763, 0.1761839242316172, -0.11991292582137784, -0.34769898262180265, 0.3572659888915473, -0.05792205487606955, 0.1688080455985714, 0.012210413615112423, 0.11692504292415058, 0.03818332259237888, 0.012552340579845134, 0.019106638237316786, -0.12323157357837533, 0.12780380968508295, 0.3072109596124377, 0.08659498546211446, 0.2539623855063539, -0.321178177486128, -0.15939831248957848, 0.24039318591173067, 0.14722942654043436, 0.003581851415458273, 0.02763584182410669, -0.19275758971582305, 0.17399729690781687, -0.1243659722922679, -0.14962876070916775, -0.054529942862200934, 0.08171688970254704, -0.019138861653685082, -0.3088441945585712, 0.017305741474971357, 0.1287619806558932, 0.1355460507711243, -0.060842922840985, -0.21254381668929498, -0.01646323096327728, 0.07116482263911882, -0.0033055598691075307, 0.07047776244561661, 0.01647305608055264, -0.06849688988896545, -0.125333675908566, 0.36637406615296103, -0.09189774502893208, -0.2081313229463689, 0.11294455701708564, -0.1795270508842268, -0.13372528544230172, 0.1465876817046741, 0.12370227527667264, 0.1664414010626134, 0.01096707956529543, 0.19460153057083457, -0.13893268129131833, 0.14532891662455485, 0.12068741183086741, 0.031628295905185774, 0.1230191867602951, 0.07718184201397979, 0.15868320969719685, 0.11186515252949426, 0.0011484493047273794, -0.007727426282114914, -0.36308082073285686, -0.21081740775557814, -0.1985810220920954, 0.0768342401725469, -0.1805246300889431, -0.14089142653297204, 0.399600758663852, 0.04341947046474966, 0.22897698603509392, 0.10148612820528082, 0.2689513787092855, 0.09506799954707261, 0.06570864338465951, 0.10598012900455153, 0.09227575051415039, 0.20876293438563093, -0.06728345377191321, -0.1682834393291383, 0.025732735523068515, 0.16953624558222832] |
709.0742 | Suppression of elliptic flow in a minimally viscous quark-gluon plasma | We compute the time evolution of elliptic flow in non-central relativistic
heavy-ion collisions, using a (2+1)-dimensional code with longitudinal
boost-invariance to simulate viscous fluid dynamics in the causal
Israel-Stewart formulation. We show that even ``minimal'' shear viscosity
eta/s=hbar/(4pi) leads to a large reduction of elliptic flow compared to ideal
fluid dynamics, raising questions about the interpretation of recent
experimental data from the Relativistic Heavy Ion Collider.
| nucl-th | we compute the time evolution of elliptic flow in noncentral relativistic heavyion collisions using a 21dimensional code with longitudinal boostinvariance to simulate viscous fluid dynamics in the causal israelstewart formulation we show that even minimal shear viscosity etashbar4pi leads to a large reduction of elliptic flow compared to ideal fluid dynamics raising questions about the interpretation of recent experimental data from the relativistic heavy ion collider | [['we', 'compute', 'the', 'time', 'evolution', 'of', 'elliptic', 'flow', 'in', 'noncentral', 'relativistic', 'heavyion', 'collisions', 'using', 'a', '21dimensional', 'code', 'with', 'longitudinal', 'boostinvariance', 'to', 'simulate', 'viscous', 'fluid', 'dynamics', 'in', 'the', 'causal', 'israelstewart', 'formulation', 'we', 'show', 'that', 'even', 'minimal', 'shear', 'viscosity', 'etashbar4pi', 'leads', 'to', 'a', 'large', 'reduction', 'of', 'elliptic', 'flow', 'compared', 'to', 'ideal', 'fluid', 'dynamics', 'raising', 'questions', 'about', 'the', 'interpretation', 'of', 'recent', 'experimental', 'data', 'from', 'the', 'relativistic', 'heavy', 'ion', 'collider']] | [-0.13252534953062423, 0.15871418084046154, -0.18793185845468985, 0.08266882467168299, -0.06142980469898744, -0.13730371270723868, -0.14056846214931062, 0.252804828024554, -0.31682997343666625, -0.2705585519627978, 0.01956051805719846, -0.323389030654322, 0.022152148204799178, 0.16956713795661926, -0.01721257558374694, 0.14221339943734082, 0.1485870002617241, -0.004246923493955172, -0.06966008449848177, -0.1900881114486379, 0.28778976445424964, 0.11313964584560106, 0.2465419024934597, 0.08898420336966713, 0.10081768823455962, 0.0249311024548881, -0.04455392708945455, 0.10245761007183429, -0.18075964046400975, 0.06352571729318394, 0.2745580567914823, 0.000526110204218915, 0.18922320666906395, -0.480689592772361, -0.2631608778893044, 0.053265179761431435, 0.096658996786132, 0.20055608152214324, -0.06935066403468337, -0.1747714625389287, 0.04483604012057185, -0.24911095732540794, -0.1706805262277185, -0.07591883551018934, 0.01766093920873986, -0.01808827757045175, -0.2775873247759812, 0.1831164229855252, 0.025004429770915798, 0.1030164565467699, -0.07114845450798218, -0.059956793010121946, -0.055694281716238365, -0.03016543892833094, 0.10419644674490855, 0.03190212008176428, 0.15612249828479957, -0.19453571602229425, -0.11259087080587492, 0.44614403638424294, -0.09717123838367336, -0.19355195486974536, 0.1977533353704282, -0.2070508704266765, -0.08806684646388573, 0.1391611242610397, 0.30754686918137875, 0.11921449728084332, -0.13505254649190288, 0.04157334590104945, -0.0881545152232954, 0.11820685856378765, 0.06090060787656429, -0.049914874115281484, 0.18350620562154235, 0.17673718727504215, -0.03676071793377174, 0.13052376532935092, -0.046359636588242596, -0.15203041023094999, -0.36933778406995715, -0.13193464306691152, -0.08994081113346372, 0.09492434046555762, -0.11318662607774252, -0.13002857317527136, 0.33189587453803554, 0.1829123805771153, 0.16609234675927315, -0.015201972614070683, 0.2611940240797897, 0.06277465875345198, -0.008950737592055124, 0.18589574077133986, 0.25023084292611614, 0.18780555087141693, 0.18517025943958398, -0.34202075815604377, 0.006903569547417151, 0.11907994797961279] |
709.0743 | Semitransitive and transitive subsemigroups of the inverse symmetric
semigroups | We classify minimal transitive subsemigroups of the finitary inverse
symmetric semigroup modulo the classification of minimal transitive subgroups
of finite symmetric groups; and semitransitive subsemigroups of the finite
inverse symmetric semigroup of the minimal cardinality modulo the
classification of transitive subgroups of the minimal cardinality of finite
symmetric groups.
| math.GR | we classify minimal transitive subsemigroups of the finitary inverse symmetric semigroup modulo the classification of minimal transitive subgroups of finite symmetric groups and semitransitive subsemigroups of the finite inverse symmetric semigroup of the minimal cardinality modulo the classification of transitive subgroups of the minimal cardinality of finite symmetric groups | [['we', 'classify', 'minimal', 'transitive', 'subsemigroups', 'of', 'the', 'finitary', 'inverse', 'symmetric', 'semigroup', 'modulo', 'the', 'classification', 'of', 'minimal', 'transitive', 'subgroups', 'of', 'finite', 'symmetric', 'groups', 'and', 'semitransitive', 'subsemigroups', 'of', 'the', 'finite', 'inverse', 'symmetric', 'semigroup', 'of', 'the', 'minimal', 'cardinality', 'modulo', 'the', 'classification', 'of', 'transitive', 'subgroups', 'of', 'the', 'minimal', 'cardinality', 'of', 'finite', 'symmetric', 'groups']] | [-0.17702531601701463, 0.14691498847108106, 0.014417060061681027, 0.11898132938207412, -0.1658779669705094, -0.1181321640555956, 0.04304931368393709, 0.3400885646934716, -0.4043277042860888, -0.11368841130514534, 0.14924811791362508, -0.353621523751288, 0.0037213807678496353, 0.12234034723773295, -0.161995781091403, 0.031351579999437135, -0.023771592548915317, 0.22770127346168975, -0.2053554877448751, -0.27351945942761946, 0.4027774519458109, -0.09002375576112952, 0.26118782177871586, 0.023967386555991003, 0.14329541866116377, 0.022457108445636625, -0.11844812037081134, 0.011362518449979169, -0.12041641186390604, 0.07987837018255069, 0.3567157693359317, 0.09711204180303885, 0.1607080637952503, -0.3301828287693919, -0.08065277761874759, 0.3999968600668469, 0.07616857431676922, -0.07780524008736318, -0.04251640200690956, -0.2753448461239435, 0.22874354993050194, -0.26366663420078706, -0.13808781608026854, -0.017197965055095906, 0.16748617445023692, -0.027578883025110985, -0.19898680856033246, 0.017754563415537074, 0.2720325374025471, 0.23506631061662825, -0.035379789465544174, -0.06760211364955318, -0.09958913048007051, 0.0680414663665757, -0.008740923500486783, -0.12322867979124492, 0.08398231017232245, -0.01124876324201421, -0.2012564970978669, 0.4212730687339695, 0.00520502357762687, -0.22076202889106103, 0.11501706171096587, -0.16013924686276182, -0.15084421113893695, 0.14582882920394138, 0.10427697451443088, 0.18933411737029648, -0.010025088371214817, 0.29787862582051444, -0.27892460993358065, 0.09159777255500762, 0.07979623460191854, -0.04639366649243296, 0.0706090970459033, 0.12842309173690725, 0.12841433666798532, 0.2395069579004633, 0.16367864517533048, 0.06309229409208103, -0.39987824857234955, -0.06976669563018546, -0.03948000879312048, 0.11677975388129755, -0.2248442557219259, -0.30441928036244853, 0.4972190155970807, 0.019278647035968547, -0.011331111648861242, 0.2449186767584511, 0.13206344462779104, -0.044490977665599514, 0.07180641616257477, 0.10398657080166195, -0.0543682231206675, 0.3012330129134412, -0.3042463175572303, -0.29488341031329973, -0.06768884004226752, 0.28761996990259814] |
709.0744 | The High Voltage Feedthroughs for the ATLAS Liquid Argon Calorimeters | The purpose, design specifications, construction techniques, and testing
methods are described for the high voltage feedthrough ports and filters of the
ATLAS Liquid Argon calorimeters. These feedthroughs carry about 5000 high
voltage wires from a room-temperature environment (300 K) through the cryostat
walls to the calorimeters cells (89 K) while maintaining the electrical and
cryogenic integrity of the system. The feedthrough wiring and filters operate
at a maximum high voltage of 2.5 kV without danger of degradation by corona
discharges or radiation at the Large Hadron Collider.
| physics.ins-det | the purpose design specifications construction techniques and testing methods are described for the high voltage feedthrough ports and filters of the atlas liquid argon calorimeters these feedthroughs carry about 5000 high voltage wires from a roomtemperature environment 300 k through the cryostat walls to the calorimeters cells 89 k while maintaining the electrical and cryogenic integrity of the system the feedthrough wiring and filters operate at a maximum high voltage of 25 kv without danger of degradation by corona discharges or radiation at the large hadron collider | [['the', 'purpose', 'design', 'specifications', 'construction', 'techniques', 'and', 'testing', 'methods', 'are', 'described', 'for', 'the', 'high', 'voltage', 'feedthrough', 'ports', 'and', 'filters', 'of', 'the', 'atlas', 'liquid', 'argon', 'calorimeters', 'these', 'feedthroughs', 'carry', 'about', '5000', 'high', 'voltage', 'wires', 'from', 'a', 'roomtemperature', 'environment', '300', 'k', 'through', 'the', 'cryostat', 'walls', 'to', 'the', 'calorimeters', 'cells', '89', 'k', 'while', 'maintaining', 'the', 'electrical', 'and', 'cryogenic', 'integrity', 'of', 'the', 'system', 'the', 'feedthrough', 'wiring', 'and', 'filters', 'operate', 'at', 'a', 'maximum', 'high', 'voltage', 'of', '25', 'kv', 'without', 'danger', 'of', 'degradation', 'by', 'corona', 'discharges', 'or', 'radiation', 'at', 'the', 'large', 'hadron', 'collider']] | [-0.12748020262746462, 0.1841306559227664, 0.007560352302402601, -0.043587881992785155, -0.006945852200960976, -0.22335592794349823, 0.0827045736449032, 0.3975544785759572, -0.20534749562456006, -0.39782350816517725, 0.11401456339691562, -0.31950777271312886, 0.03883958844221786, 0.2051505943647875, -0.029055037238667238, 0.09797881559693608, 0.053403398621527626, -0.06910617012348583, -0.04506893639570509, -0.19513923109873016, 0.13832316470557246, 0.1397058531138832, 0.33157554265625516, 0.06072633038542565, 0.2108060095336117, -0.05013758950096009, 0.012013700330394438, 0.014272121196056062, -0.06211690312176515, -0.0071834824636749835, 0.34043446397301796, 0.05857007908795414, 0.23201216817244716, -0.489912457742739, -0.15064408241245286, 0.04751696394777846, 0.028584591855680377, 0.03466846854640064, -0.03250692580858695, -0.23344981130319595, 0.1518237722780684, -0.1811148618112436, -0.1096158951210479, -0.021014518254361618, -0.051771302300708734, 0.0390192570218993, -0.22270950314792237, -0.03265693976179879, 0.02732057898872714, 0.15516637163986077, -0.011817342574954376, -0.1523731161141768, -0.009717166059832463, 0.07695355791238608, -0.08753492580405597, -0.0014164276613757528, 0.31337568206691196, -0.1845042535007514, -0.05653473278828736, 0.27502397387877275, -0.013895593318638617, -0.08212334369362771, 0.21878029489568596, -0.2025925547075886, 0.01162042949434327, 0.22729099603455472, 0.18649293581858792, 0.04989740185054212, -0.21736387536732543, 0.03738436557564298, 0.09702281031928871, 0.18249904852756565, 0.16336839312377074, 0.024986785479912257, 0.26935087484789305, 0.23272497363752503, 0.07577954831094234, 0.1503724684596233, -0.13546737851896162, 0.08442971222744934, -0.3204735460766088, -0.1535981848609136, -0.10305472610025913, 0.004172077890881605, -0.06441110300218644, -0.12236650453762676, 0.3983805625025055, 0.12382706655082347, 0.13211449491523805, 0.00019120413745785583, 0.3923002490880846, 0.017168135660561336, 0.12515335140285488, 0.041465051170276615, 0.22613582671914334, 0.18010122422396538, 0.22858920147182185, -0.2516297979304439, 0.03215341774703956, -0.03346901521857443] |
709.0745 | Comment on 'Discreteness Effects in Simulations of Hot/Warm Dark Matter'
by J. Wang & S.D.M. White | Wang and White (2007) have discussed some problems with N-body simulation
methods. These problems are a special case of a more general problem which has
been largely unacknowledged for approximately 25 years, and affects results of
all dark matter simulations on small scales (the definition of 'small' varying
with time). Extensive numerical experiments with multiple types of N-body codes
have demonstrated that spurious fluctuations due to particle discreteness grow
rapidly even in the presence of substantial small-scale power from the intended
model spectrum, and modify the results on scales smaller than the mean comoving
interparticle separation. This implies that the spatial resolution of such
simulations is typically limited not by the force softening length, often
referred to as the 'resolution', and not by the particle density in halos.
Instead it is approximately N^-1/3, where N is the mean particle density, and
of course depends on and improves very slowly with increased number of
particles. This calls into question many results on smaller scales over more
than two decades.
| astro-ph | wang and white 2007 have discussed some problems with nbody simulation methods these problems are a special case of a more general problem which has been largely unacknowledged for approximately 25 years and affects results of all dark matter simulations on small scales the definition of small varying with time extensive numerical experiments with multiple types of nbody codes have demonstrated that spurious fluctuations due to particle discreteness grow rapidly even in the presence of substantial smallscale power from the intended model spectrum and modify the results on scales smaller than the mean comoving interparticle separation this implies that the spatial resolution of such simulations is typically limited not by the force softening length often referred to as the resolution and not by the particle density in halos instead it is approximately n13 where n is the mean particle density and of course depends on and improves very slowly with increased number of particles this calls into question many results on smaller scales over more than two decades | [['wang', 'and', 'white', '2007', 'have', 'discussed', 'some', 'problems', 'with', 'nbody', 'simulation', 'methods', 'these', 'problems', 'are', 'a', 'special', 'case', 'of', 'a', 'more', 'general', 'problem', 'which', 'has', 'been', 'largely', 'unacknowledged', 'for', 'approximately', '25', 'years', 'and', 'affects', 'results', 'of', 'all', 'dark', 'matter', 'simulations', 'on', 'small', 'scales', 'the', 'definition', 'of', 'small', 'varying', 'with', 'time', 'extensive', 'numerical', 'experiments', 'with', 'multiple', 'types', 'of', 'nbody', 'codes', 'have', 'demonstrated', 'that', 'spurious', 'fluctuations', 'due', 'to', 'particle', 'discreteness', 'grow', 'rapidly', 'even', 'in', 'the', 'presence', 'of', 'substantial', 'smallscale', 'power', 'from', 'the', 'intended', 'model', 'spectrum', 'and', 'modify', 'the', 'results', 'on', 'scales', 'smaller', 'than', 'the', 'mean', 'comoving', 'interparticle', 'separation', 'this', 'implies', 'that', 'the', 'spatial', 'resolution', 'of', 'such', 'simulations', 'is', 'typically', 'limited', 'not', 'by', 'the', 'force', 'softening', 'length', 'often', 'referred', 'to', 'as', 'the', 'resolution', 'and', 'not', 'by', 'the', 'particle', 'density', 'in', 'halos', 'instead', 'it', 'is', 'approximately', 'n13', 'where', 'n', 'is', 'the', 'mean', 'particle', 'density', 'and', 'of', 'course', 'depends', 'on', 'and', 'improves', 'very', 'slowly', 'with', 'increased', 'number', 'of', 'particles', 'this', 'calls', 'into', 'question', 'many', 'results', 'on', 'smaller', 'scales', 'over', 'more', 'than', 'two', 'decades']] | [-0.0909671672998229, 0.1768545945551956, -0.06890704862529501, 0.05993875207648324, -0.03865390861894758, -0.104206360208558, -0.03560904457256021, 0.3376476479295109, -0.22862863352721824, -0.3953540597022289, 0.08813473954381022, -0.2789565231166004, -0.09669674388715066, 0.22869186852906187, -0.03733595916058957, 0.04340536897576558, 0.08416456029850192, 0.003853308009551949, -0.05621178993758457, -0.28425328586239457, 0.28822871177717824, 0.13550399292892376, 0.23544216167093032, 0.043762632353242396, 0.0849868308231678, -0.014258400982639398, -0.08691228611306065, 0.06536141483922533, -0.1352226607730353, 0.03578770753423063, 0.19322677324193396, 0.08001642358569716, 0.3216935628346012, -0.4484595606779857, -0.2582790231140929, 0.11788201969604761, 0.18997021298301184, 0.109635956548681, -0.03170553420429877, -0.23493535886934427, 0.11855970860259342, -0.15218890539836138, -0.08354183248732061, -0.02461793379084806, 0.049561329386917694, 0.052664333350202513, -0.21927955143231279, 0.13093660121999814, 0.046993312800103534, 0.047492120026921235, -0.036182299965210926, -0.13517420041413666, 0.021648148468340792, 0.07691260435136169, 0.09917613875101476, 0.010085230210929044, 0.1413920657748046, -0.13404813495054396, -0.05821226682469603, 0.390614879198741, -0.0410848520947357, -0.1997576267825761, 0.24044242468828866, -0.16041983394617482, -0.10323586002258318, 0.17279328654556247, 0.15654973380532328, 0.12673615464951754, -0.06486260590498291, 0.06911084437091458, -0.052008729900643674, 0.23195202910296975, 0.09604302865392085, 0.03889293514553823, 0.1997720159983839, 0.17167753377829545, 0.07285581542133254, 0.06939914731247838, -0.08844615845425453, -0.1246266087858073, -0.2345210235012235, -0.07735498684702352, -0.20472360315934998, 0.04097140622155036, -0.11229549126628194, -0.13239777280527742, 0.35812899180954055, 0.1571528612458635, 0.20242219768087602, 0.0742342848908655, 0.29547611775342375, 0.08586857754978285, 0.09992029010096476, 0.08807772616135134, 0.2227554408054857, 0.11436466776302993, 0.08881140767715849, -0.19832532766546743, 0.0335833553371707, -0.015233222942610848] |
709.0746 | Geometric Complexity Theory: Introduction | These are lectures notes for the introductory graduate courses on geometric
complexity theory (GCT) in the computer science department, the university of
Chicago. Part I consists of the lecture notes for the course given by the first
author in the spring quarter, 2007. It gives introduction to the basic
structure of GCT. Part II consists of the lecture notes for the course given by
the second author in the spring quarter, 2003. It gives introduction to
invariant theory with a view towards GCT. No background in algebraic geometry
or representation theory is assumed. These lecture notes in conjunction with
the article \cite{GCTflip1}, which describes in detail the basic plan of GCT
based on the principle called the flip, should provide a high level picture of
GCT assuming familiarity with only basic notions of algebra, such as groups,
rings, fields etc.
| cs.CC | these are lectures notes for the introductory graduate courses on geometric complexity theory gct in the computer science department the university of chicago part i consists of the lecture notes for the course given by the first author in the spring quarter 2007 it gives introduction to the basic structure of gct part ii consists of the lecture notes for the course given by the second author in the spring quarter 2003 it gives introduction to invariant theory with a view towards gct no background in algebraic geometry or representation theory is assumed these lecture notes in conjunction with the article citegctflip1 which describes in detail the basic plan of gct based on the principle called the flip should provide a high level picture of gct assuming familiarity with only basic notions of algebra such as groups rings fields etc | [['these', 'are', 'lectures', 'notes', 'for', 'the', 'introductory', 'graduate', 'courses', 'on', 'geometric', 'complexity', 'theory', 'gct', 'in', 'the', 'computer', 'science', 'department', 'the', 'university', 'of', 'chicago', 'part', 'i', 'consists', 'of', 'the', 'lecture', 'notes', 'for', 'the', 'course', 'given', 'by', 'the', 'first', 'author', 'in', 'the', 'spring', 'quarter', '2007', 'it', 'gives', 'introduction', 'to', 'the', 'basic', 'structure', 'of', 'gct', 'part', 'ii', 'consists', 'of', 'the', 'lecture', 'notes', 'for', 'the', 'course', 'given', 'by', 'the', 'second', 'author', 'in', 'the', 'spring', 'quarter', '2003', 'it', 'gives', 'introduction', 'to', 'invariant', 'theory', 'with', 'a', 'view', 'towards', 'gct', 'no', 'background', 'in', 'algebraic', 'geometry', 'or', 'representation', 'theory', 'is', 'assumed', 'these', 'lecture', 'notes', 'in', 'conjunction', 'with', 'the', 'article', 'citegctflip1', 'which', 'describes', 'in', 'detail', 'the', 'basic', 'plan', 'of', 'gct', 'based', 'on', 'the', 'principle', 'called', 'the', 'flip', 'should', 'provide', 'a', 'high', 'level', 'picture', 'of', 'gct', 'assuming', 'familiarity', 'with', 'only', 'basic', 'notions', 'of', 'algebra', 'such', 'as', 'groups', 'rings', 'fields', 'etc']] | [-0.07209169449244472, 0.10702401649528484, -0.11973050977237415, 0.06193673978274916, -0.1260163574714026, -0.1231424544046787, -0.03963150832343096, 0.2602582709032962, -0.20233703562453817, -0.3822908176363801, 0.14465253926284288, -0.2717835656065735, -0.188664954257861, 0.16086906749292834, -0.16595376238328494, -0.07426841249488456, 0.070853633169594, 0.05601328641043058, -0.07169869599743284, -0.33425865475785177, 0.3226366275050443, 0.13843679434968253, 0.2785100359402651, 0.027599679570805898, 0.18006044064092336, 0.0772711248840574, -0.11015370053661278, -0.023826086411266018, -0.13074962097628834, 0.17420621393851454, 0.3359566166554745, 0.11635039973645571, 0.30258242243049976, -0.46264724777810434, -0.08395450133260796, -0.028243271982391103, 0.002458934575024483, 0.09803261238811102, -0.018728828508232674, -0.29803949631348575, 0.022214051694508723, -0.13678389212800016, -0.13774201175425765, 0.01831715058354433, 0.03230228969532487, -0.009329414961645178, -0.10720543168600742, -0.018480346853034103, 0.07777621140519304, 0.18956262310765845, -0.0414449266537441, -0.16611318628508062, 0.04850280454395701, 0.12094259521213742, -0.005158179494880622, 0.04310933222911294, 0.11561201951674206, -0.11268372208603637, -0.15556297532999688, 0.40998790513643685, -0.02171484106923822, -0.10567054545788242, 0.1432430277502737, -0.15154004309045002, -0.19237994423082513, 0.10628017651841795, 0.19380361612772287, 0.04204990025676733, -0.14346468974643542, 0.13647078277154578, -0.03070879443724499, 0.1494410566235189, 0.048521495306958186, -0.010663732836900695, 0.2292203755459661, 0.1271935796244539, -0.01011207140982151, 0.11341988569353338, 0.025822081522707888, -0.1315843891921929, -0.4440588211546913, -0.1737739138620095, -0.16134305218261458, 0.04065558836936093, 0.04982290592500203, -0.1327225008004566, 0.44889187205100445, 0.11064955766024671, 0.08227057712782415, 0.007481129142361954, 0.20431460496440207, 0.07577312544319886, 0.00677245774761968, 0.04364185572916762, 0.18351824559177532, 0.14472527389595513, 0.1809571243541168, -0.05253913959931321, 0.00881944800787371, 0.1930456629572369] |
709.0747 | On Lyubeznik numbers of projective schemes | Let $X$ be an arbitrary projective scheme over a field $k$. Let $A$ be the
local ring at the vertex of the affine cone for some embedding $\iota:
X\hookrightarrow \mathbb{P}^n_k$. G. Lyubeznik asked (in \cite{l2}) whether the
integers $\lambda_{i,j}(A)$ (defined in \cite{l1}), called the Lyubeznik
numbers of $A$, depend only on $X$, but not on the embedding. In this paper, we
make a big step toward a positive answer to this question by proving that in
positive characteristic, for a fixed $X$, the Lyubezink numbers
$\lambda_{i,j}(A)$ of the local ring $A$, can only achieve finitely many
possible values under all choices of embeddings.
| math.AC math.AG | let x be an arbitrary projective scheme over a field k let a be the local ring at the vertex of the affine cone for some embedding iota xhookrightarrow mathbbpn_k g lyubeznik asked in citel2 whether the integers lambda_ija defined in citel1 called the lyubeznik numbers of a depend only on x but not on the embedding in this paper we make a big step toward a positive answer to this question by proving that in positive characteristic for a fixed x the lyubezink numbers lambda_ija of the local ring a can only achieve finitely many possible values under all choices of embeddings | [['let', 'x', 'be', 'an', 'arbitrary', 'projective', 'scheme', 'over', 'a', 'field', 'k', 'let', 'a', 'be', 'the', 'local', 'ring', 'at', 'the', 'vertex', 'of', 'the', 'affine', 'cone', 'for', 'some', 'embedding', 'iota', 'xhookrightarrow', 'mathbbpn_k', 'g', 'lyubeznik', 'asked', 'in', 'citel2', 'whether', 'the', 'integers', 'lambda_ija', 'defined', 'in', 'citel1', 'called', 'the', 'lyubeznik', 'numbers', 'of', 'a', 'depend', 'only', 'on', 'x', 'but', 'not', 'on', 'the', 'embedding', 'in', 'this', 'paper', 'we', 'make', 'a', 'big', 'step', 'toward', 'a', 'positive', 'answer', 'to', 'this', 'question', 'by', 'proving', 'that', 'in', 'positive', 'characteristic', 'for', 'a', 'fixed', 'x', 'the', 'lyubezink', 'numbers', 'lambda_ija', 'of', 'the', 'local', 'ring', 'a', 'can', 'only', 'achieve', 'finitely', 'many', 'possible', 'values', 'under', 'all', 'choices', 'of', 'embeddings']] | [-0.19579470707057958, 0.08629894711881278, -0.0848830842513445, 0.015005599230290483, -0.06468655972275883, -0.18607182789356538, 0.02942854278451562, 0.3448399697686089, -0.33978697255838153, -0.21605977578563432, 0.07293558388254513, -0.23679223993573995, -0.09597478765656478, 0.20403298595007144, -0.12069429067310457, -0.0461564951257577, 0.014727771517309342, 0.1252446883590892, -0.06654396886291329, -0.3445226603059792, 0.36676971019044813, -0.036208066164844614, 0.17095484433458277, 0.06120283991799178, 0.1343503216573713, -0.002766829307017592, 0.018334490242505483, 0.061859031769392246, -0.15333864616274928, 0.09708072807338528, 0.3137236749935968, 0.11729173724312454, 0.30211303276283774, -0.34728018324091736, -0.1434809372705572, 0.2292111821874392, 0.136153479608908, -0.009629233055474126, -0.01547212099574287, -0.23467454808198063, 0.1782502971096512, -0.11230680078048916, -0.1184953274890123, -0.043370907505353294, 0.1101356724051156, 0.007376457345398033, -0.2929902100141215, -0.07869967083245807, 0.10390263839679606, 0.1139534052242251, -0.012196504673007511, -0.10315826547094713, -0.013243479594843937, 0.06631004597133427, -0.05661437979307605, 0.10178767936075946, 0.07446870409573118, -0.09397925399061219, -0.10515620490061302, 0.35524927841170745, -0.06121554203998005, -0.2380467678885907, 0.09435745609887675, -0.19613659184188673, -0.13910305773948922, 0.11527723847322312, 0.10446894290405051, 0.1822977408164126, -0.01272269804743986, 0.18647282251029038, -0.1621357369072297, 0.13600199203025184, 0.13176717465816468, -0.011704474199088473, 0.2015578607645105, 0.047769130442711506, 0.10491938409783567, 0.07074427203898427, 0.006938162597590217, 0.037957106465268335, -0.3469154902770385, -0.19112315933749663, -0.16214553671820528, 0.18577127520684905, -0.08952448634869035, -0.15321686864812292, 0.40980910433024165, 0.10170933187427912, 0.25658860261205074, 0.06862818775698543, 0.22103261120398254, 0.03479329676495171, 0.03172100007114019, 0.07659850623053453, 0.07576298360928536, 0.15263198473372078, 0.0053038588467090595, -0.137163856879388, 0.059162869223156105, 0.1451851921840845] |
709.0748 | On P vs. NP, Geometric Complexity Theory, and the Flip I: a high level
view | Geometric complexity theory (GCT) is an approach to the $P$ vs. $NP$ and
related problems through algebraic geometry and representation theory. This
article gives a high-level exposition of the basic plan of GCT based on the
principle, called the flip, without assuming any background in algebraic
geometry or representation theory.
| cs.CC | geometric complexity theory gct is an approach to the p vs np and related problems through algebraic geometry and representation theory this article gives a highlevel exposition of the basic plan of gct based on the principle called the flip without assuming any background in algebraic geometry or representation theory | [['geometric', 'complexity', 'theory', 'gct', 'is', 'an', 'approach', 'to', 'the', 'p', 'vs', 'np', 'and', 'related', 'problems', 'through', 'algebraic', 'geometry', 'and', 'representation', 'theory', 'this', 'article', 'gives', 'a', 'highlevel', 'exposition', 'of', 'the', 'basic', 'plan', 'of', 'gct', 'based', 'on', 'the', 'principle', 'called', 'the', 'flip', 'without', 'assuming', 'any', 'background', 'in', 'algebraic', 'geometry', 'or', 'representation', 'theory']] | [-0.08206821492873133, 0.045959777254902294, -0.190917062968947, 0.10536697878502309, -0.15127890851348638, -0.13320956441573797, 0.024218453431967647, 0.26717382777482274, -0.3195021311193705, -0.342856072075665, 0.0635245217452757, -0.21390263732522727, -0.23703663226682692, 0.16765594385098667, -0.1598954270593822, -0.009953842684626579, 0.01367239661514759, 0.08819743925705552, -0.13708514261990787, -0.20930735897738487, 0.32283980066888035, 0.05936358796432614, 0.28585341915488244, 0.06971685300813987, 0.17849849529302447, 0.115657853577286, -0.04448948331177235, 0.025648628920316698, -0.12058469964191318, 0.2123806590726599, 0.2633750224113464, 0.1957325263414532, 0.186767935808748, -0.47886556867510083, -0.16182358387857676, 0.05186806296929717, 0.04996310349553824, 0.10294972991745453, -0.013026423717383296, -0.2654373811371624, 0.07692832201719284, -0.11516251303255558, -0.12044239316135645, -0.03861287867184728, -0.019323436804115773, -0.06929149378556758, -0.20181335175409912, -0.053473688941448924, 0.1296631209924817, 0.12704214012250303, -0.04535467698704451, -0.09566660013515502, 0.08419341675937175, 0.05122970000375062, 0.0026702837040647864, 0.09976087544113398, 0.11096325752325356, -0.09989217858295887, -0.17512484297156333, 0.4149546939134598, 0.03156386900693178, -0.2406245319917798, 0.14346030636224896, -0.06890257581137121, -0.1542115419358015, 0.13570528773590923, 0.15067160136066376, 0.1208181381970644, -0.10711116667836905, 0.22660353841027245, -0.030784512627869843, 0.17690556157846005, 0.03501269416883588, 0.015921822227537633, 0.15032655883580445, 0.15510515712201595, 0.07099059075117112, 0.11950726561248302, 0.0026052998611703513, -0.12181215658783913, -0.386521093249321, -0.12434262167662383, -0.12910966787487269, 0.0834740631096065, -0.10177450971619692, -0.19179342344403266, 0.38582596151158216, 0.1042900534067303, 0.10801278086379171, 0.06330069319810719, 0.3028297870978713, 0.10055946270003915, -0.028338781301863493, 0.042479127207770945, 0.1362028686981648, 0.2008776238304563, 0.05880640529096127, -0.1885849788505584, 0.04089336172677577, 0.1785856676567346] |
709.0749 | Geometric Complexity Theory VII: Nonstandard quantum group for the
plethysm problem | This article describes a {\em nonstandard} quantum group that may be used to
derive a positive formula for the plethysm problem, just as the standard
(Drinfeld-Jimbo) quantum group can be used to derive the positive
Littlewood-Richardson rule for arbitrary complex semisimple Lie groups. The
sequel \cite{GCT8} gives conjecturally correct algorithms to construct
canonical bases of the coordinate rings of these nonstandard quantum groups and
canonical bases of the dually paired nonstandard deformations of the symmetric
group algebra. A positive $#P$-formula for the plethysm constant follows from
the conjectural properties of these canonical bases and the duality and
reciprocity conjectures herein.
| cs.CC | this article describes a em nonstandard quantum group that may be used to derive a positive formula for the plethysm problem just as the standard drinfeldjimbo quantum group can be used to derive the positive littlewoodrichardson rule for arbitrary complex semisimple lie groups the sequel citegct8 gives conjecturally correct algorithms to construct canonical bases of the coordinate rings of these nonstandard quantum groups and canonical bases of the dually paired nonstandard deformations of the symmetric group algebra a positive pformula for the plethysm constant follows from the conjectural properties of these canonical bases and the duality and reciprocity conjectures herein | [['this', 'article', 'describes', 'a', 'em', 'nonstandard', 'quantum', 'group', 'that', 'may', 'be', 'used', 'to', 'derive', 'a', 'positive', 'formula', 'for', 'the', 'plethysm', 'problem', 'just', 'as', 'the', 'standard', 'drinfeldjimbo', 'quantum', 'group', 'can', 'be', 'used', 'to', 'derive', 'the', 'positive', 'littlewoodrichardson', 'rule', 'for', 'arbitrary', 'complex', 'semisimple', 'lie', 'groups', 'the', 'sequel', 'citegct8', 'gives', 'conjecturally', 'correct', 'algorithms', 'to', 'construct', 'canonical', 'bases', 'of', 'the', 'coordinate', 'rings', 'of', 'these', 'nonstandard', 'quantum', 'groups', 'and', 'canonical', 'bases', 'of', 'the', 'dually', 'paired', 'nonstandard', 'deformations', 'of', 'the', 'symmetric', 'group', 'algebra', 'a', 'positive', 'pformula', 'for', 'the', 'plethysm', 'constant', 'follows', 'from', 'the', 'conjectural', 'properties', 'of', 'these', 'canonical', 'bases', 'and', 'the', 'duality', 'and', 'reciprocity', 'conjectures', 'herein']] | [-0.15099683461353333, 0.07686368243373705, -0.12719615723119315, 0.12212083259517459, -0.15886729375242886, -0.1827016626202473, 0.018646988493268086, 0.297104586263874, -0.349111045489671, -0.20852091604334566, 0.06673220862314631, -0.1811190451862234, -0.1748383466220188, 0.18592035904470267, -0.10157810165687944, -0.027410470814716936, 0.005458005918001737, 0.09803212302351239, -0.15705494184489127, -0.27180693718143784, 0.3710465574251356, 0.03560845128723862, 0.24047475405310215, -0.007686622478444167, 0.12693185251996372, 0.038328842560977044, -0.04884981902109252, -0.02173761845650998, -0.15409328721763832, 0.15592162797787237, 0.33865333244561996, 0.09930405549403995, 0.1563649911837972, -0.3840302756488925, -0.07881187513997459, 0.18518313536928457, 0.13739951749492763, 0.09746361604769423, -0.01436108619332163, -0.24870911681544827, 0.07316140289788224, -0.2203040038790516, -0.16525807555275734, -0.10566876554829915, 0.028342717498860727, -0.007947612356281641, -0.26075412939782394, 0.07476660499179905, 0.08591562995423722, 0.0936375047936283, -0.039229872493035715, -0.15070511253945756, 0.01983553987711367, 0.1275128613677666, -0.036083571118951746, -0.01453207508364523, 0.10882166201352245, -0.06879510062351597, -0.17988140040049047, 0.38837342528682767, -0.024416599460322447, -0.2249950867221512, 0.11424925430757793, -0.12305500151382552, -0.1662011875046624, 0.06685829381787717, 0.0823684289035472, 0.1368429774531361, -0.0710346685872987, 0.15635394485434517, -0.15307541164296745, 0.056732104652598876, 0.0906347952068153, 0.0005972768518735062, 0.19017414113676007, -0.025763870033463747, 0.045486461747475344, 0.1224330692820138, 0.07288927380277803, -0.07699372470519986, -0.37907955788000663, -0.2381732670797242, -0.11796516762350244, 0.13636305581100963, -0.11385869008040343, -0.20706958829359423, 0.3755546612947276, 0.056327918244554014, 0.14813004641069305, 0.12467649157130808, 0.17870305387322047, 0.09571758274699213, 0.08916196858538597, -0.00022086385411746574, 0.15220756321966725, 0.2798128432871755, -0.01383893901595112, -0.16534007621279065, -0.032727648946221426, 0.21065213641791483] |
709.075 | Reddening law and interstellar dust properties along Magellanic
sight-lines | This study establishes that SMC, LMC and Milky Way extinction curves obey the
same extinction law which depends on the 2200A bump size and one parameter, and
generalizes the Cardelli, Clayton and Mathis (1989) relationship. This suggests
that extinction in all three galaxies is of the same nature. The role of linear
reddening laws over all the visible/UV wavelength range, particularly important
in the SMC but also present in the LMC and in the Milky Way, is also
highlighted and discussed.
| astro-ph | this study establishes that smc lmc and milky way extinction curves obey the same extinction law which depends on the 2200a bump size and one parameter and generalizes the cardelli clayton and mathis 1989 relationship this suggests that extinction in all three galaxies is of the same nature the role of linear reddening laws over all the visibleuv wavelength range particularly important in the smc but also present in the lmc and in the milky way is also highlighted and discussed | [['this', 'study', 'establishes', 'that', 'smc', 'lmc', 'and', 'milky', 'way', 'extinction', 'curves', 'obey', 'the', 'same', 'extinction', 'law', 'which', 'depends', 'on', 'the', '2200a', 'bump', 'size', 'and', 'one', 'parameter', 'and', 'generalizes', 'the', 'cardelli', 'clayton', 'and', 'mathis', '1989', 'relationship', 'this', 'suggests', 'that', 'extinction', 'in', 'all', 'three', 'galaxies', 'is', 'of', 'the', 'same', 'nature', 'the', 'role', 'of', 'linear', 'reddening', 'laws', 'over', 'all', 'the', 'visibleuv', 'wavelength', 'range', 'particularly', 'important', 'in', 'the', 'smc', 'but', 'also', 'present', 'in', 'the', 'lmc', 'and', 'in', 'the', 'milky', 'way', 'is', 'also', 'highlighted', 'and', 'discussed']] | [-0.0632529223075835, 0.0460830248426646, -0.14668090376071632, 0.09487600501161068, -0.08285201149410568, -0.07359964947681874, 0.06626042941061314, 0.37408895692788063, -0.21377188634942285, -0.3040691690519452, 0.013663645129418001, -0.2361157810606528, -0.12296455013565719, 0.22792899563210084, -0.11581089659593999, -0.008424037671647965, -0.02127130371518433, -0.12561952953692526, 0.02965785500709899, -0.29415689896268304, 0.2849063195841154, 0.040849039528984575, 0.23708285636967047, -0.014851220979471691, 0.08320784724783152, -0.016613838350167498, -0.09463051159400493, -0.023377244838047772, -0.15630448286628962, 0.10070280670188367, 0.21677749879891053, 0.06908312935265712, 0.18108463443350048, -0.29365734674502164, -0.21923301313072444, 0.09916551961796358, 0.20453272477316203, 0.02527417097444413, -0.041124691495497245, -0.1957598957233131, 0.033054265804821625, -0.14967970855068416, -0.20345743969082833, 0.06318563520908356, 0.12396668316796422, 0.05988979459798429, -0.18150831966195255, 0.13618692328964244, 0.0825014584697783, 0.11340668436605483, -0.09229415075096767, -0.1154221262622741, -0.04810047408682294, 0.11174667921004584, 0.038889074661710765, 0.02398013481288217, 0.11823628107085823, -0.12405097645241767, 0.002965085190953687, 0.4285677283842233, -0.053172660677228124, -0.017537240590900182, 0.16519508468918503, -0.19403321562494966, -0.18314046874584164, 0.03992065407219343, 0.08738926321966574, 0.09252995338365508, -0.1924089600215666, 0.11265568080270896, -0.04209967636270449, 0.16461439328850247, 0.10078941476531326, 0.06741058687330223, 0.19514451923314483, 0.09211024944670498, 0.06658319319831207, 0.11488954718370223, -0.16588173432683107, -0.16361206899746322, -0.281585162691772, -0.15872792944137473, -0.10914501204679254, 0.053816963476128875, -0.18359732982826243, -0.11777079629246145, 0.324747654562816, 0.16138399045739787, 0.2627877160673961, 0.08484003200574079, 0.28037330946244765, 0.10043460822780617, 0.08194481790997088, 0.14011998121859506, 0.3305177100934088, 0.14720435633789747, 0.09539957349043107, -0.23439999405527487, 0.16486402663867922, 0.021495822322322056] |
709.0751 | Geometric Complexity Theory VIII: On canonical bases for the nonstandard
quantum groups | This article gives conjecturally correct algorithms to construct canonical
bases of the irreducible polynomial representations and the matrix coordinate
rings of the nonstandard quantum groups in GCT4 and GCT7, and canonical bases
of the dually paired nonstandard deformations of the symmetric group algebra
therein. These are generalizations of the canonical bases of the irreducible
polynomial representations and the matrix coordinate ring of the standard
quantum group, as constructed by Kashiwara and Lusztig, and the Kazhdan-Lusztig
basis of the Hecke algebra. A positive ($#P$-) formula for the well-known
plethysm constants follows from their conjectural properties and the duality
and reciprocity conjectures in \cite{GCT7}.
| cs.CC | this article gives conjecturally correct algorithms to construct canonical bases of the irreducible polynomial representations and the matrix coordinate rings of the nonstandard quantum groups in gct4 and gct7 and canonical bases of the dually paired nonstandard deformations of the symmetric group algebra therein these are generalizations of the canonical bases of the irreducible polynomial representations and the matrix coordinate ring of the standard quantum group as constructed by kashiwara and lusztig and the kazhdanlusztig basis of the hecke algebra a positive p formula for the wellknown plethysm constants follows from their conjectural properties and the duality and reciprocity conjectures in citegct7 | [['this', 'article', 'gives', 'conjecturally', 'correct', 'algorithms', 'to', 'construct', 'canonical', 'bases', 'of', 'the', 'irreducible', 'polynomial', 'representations', 'and', 'the', 'matrix', 'coordinate', 'rings', 'of', 'the', 'nonstandard', 'quantum', 'groups', 'in', 'gct4', 'and', 'gct7', 'and', 'canonical', 'bases', 'of', 'the', 'dually', 'paired', 'nonstandard', 'deformations', 'of', 'the', 'symmetric', 'group', 'algebra', 'therein', 'these', 'are', 'generalizations', 'of', 'the', 'canonical', 'bases', 'of', 'the', 'irreducible', 'polynomial', 'representations', 'and', 'the', 'matrix', 'coordinate', 'ring', 'of', 'the', 'standard', 'quantum', 'group', 'as', 'constructed', 'by', 'kashiwara', 'and', 'lusztig', 'and', 'the', 'kazhdanlusztig', 'basis', 'of', 'the', 'hecke', 'algebra', 'a', 'positive', 'p', 'formula', 'for', 'the', 'wellknown', 'plethysm', 'constants', 'follows', 'from', 'their', 'conjectural', 'properties', 'and', 'the', 'duality', 'and', 'reciprocity', 'conjectures', 'in', 'citegct7']] | [-0.14716034806380518, 0.06901919182314716, -0.11352656086709237, 0.06759367879912859, -0.11050108658394428, -0.13573851611822693, -0.019757499339792765, 0.2891536003467862, -0.386235799226496, -0.18343433737490242, 0.061651295032164065, -0.2096594985988405, -0.179272420459775, 0.15548082545512554, -0.09573207563259686, 0.00899309739282336, 0.025588565861166576, 0.10224761335988237, -0.19006273316953218, -0.2991608630188487, 0.3889007865535942, 0.051393418870936854, 0.26223975865433763, -0.026436902149909673, 0.13448271451687271, 0.047977886491953725, -0.07258930527652153, -0.09345303612262612, -0.12349156791701763, 0.1948970266561391, 0.3395077964723712, 0.10410939737439456, 0.1243601718475346, -0.39678820583856467, -0.018120573880621278, 0.18734130044138492, 0.14169193772411542, 0.0704429034282444, -0.0008577145447935721, -0.26512923105525776, 0.05193396842749813, -0.21755561158013992, -0.15748698626071064, -0.09652805155745209, 0.06652524032526547, 0.02242606995871874, -0.25269795859684097, 0.05774762878439041, 0.11514003709372547, 0.15994688164621515, -0.06003014394317312, -0.17417883745987306, -0.020719272333827584, 0.08377675313709511, -0.033244520656275325, -0.028589288093798765, 0.0926025588291161, -0.11023162832869349, -0.18530644180083816, 0.3701881408465631, 0.0076699927261080405, -0.23708591659111206, 0.10777944239265652, -0.15220278599816892, -0.14809283450471633, 0.05599381135437976, 0.0435262105352424, 0.09994146095193697, -0.03914416263425591, 0.20460987454656548, -0.16494384775822513, 0.01001931838056242, 0.12273951047429382, 0.017784846448010268, 0.1437497441421705, -0.04021249100039102, -0.009506551205178234, 0.10935190111172921, 0.08765947012080237, -0.07405111388152823, -0.3692765777608417, -0.23957107441894937, -0.13951596909795294, 0.09522812356325713, -0.1481310650024262, -0.1795661227631787, 0.4322264241525019, 0.034591202365441456, 0.17422443089743306, 0.11834497574829694, 0.16827092028100682, 0.0687309122642013, 0.10768855975310535, 0.005217996971550012, 0.12242850995472059, 0.31859809854961557, -0.0345741134099286, -0.18758776104089456, -0.03457882873375307, 0.2611204619905112] |
709.0752 | Sky in Google Earth: The Next Frontier in Astronomical Data Discovery
and Visualization | Astronomy began as a visual science, first through careful observations of
the sky using either an eyepiece or the naked eye, then on to the preservation
of those images with photographic media and finally the digital encoding of
that information via CCDs. This last step has enabled astronomy to move into a
fully automated era -- where data is recorded, analyzed and interpreted often
without any direct visual inspection. Sky in Google Earth completes that circle
by providing an intuitive visual interface to some of the largest astronomical
imaging surveys covering the full sky. By streaming imagery, catalogs, time
domain data, and ancillary information directly to a user, Sky can provide the
general public as well as professional and amateur astronomers alike with a
wealth of information for use in education and research. We provide here a
brief introduction to Sky in Google Earth, focusing on its extensible
environment, how it may be integrated into the research process and how it can
bring astronomical research to a broader community. With an open interface
available on Linux, Mac OS X and Windows, applications developed within Sky are
accessible not just within the Google framework but through any visual browser
that supports the Keyhole Markup Language. We present Sky as the embodiment of
a virtual telescope.
| astro-ph | astronomy began as a visual science first through careful observations of the sky using either an eyepiece or the naked eye then on to the preservation of those images with photographic media and finally the digital encoding of that information via ccds this last step has enabled astronomy to move into a fully automated era where data is recorded analyzed and interpreted often without any direct visual inspection sky in google earth completes that circle by providing an intuitive visual interface to some of the largest astronomical imaging surveys covering the full sky by streaming imagery catalogs time domain data and ancillary information directly to a user sky can provide the general public as well as professional and amateur astronomers alike with a wealth of information for use in education and research we provide here a brief introduction to sky in google earth focusing on its extensible environment how it may be integrated into the research process and how it can bring astronomical research to a broader community with an open interface available on linux mac os x and windows applications developed within sky are accessible not just within the google framework but through any visual browser that supports the keyhole markup language we present sky as the embodiment of a virtual telescope | [['astronomy', 'began', 'as', 'a', 'visual', 'science', 'first', 'through', 'careful', 'observations', 'of', 'the', 'sky', 'using', 'either', 'an', 'eyepiece', 'or', 'the', 'naked', 'eye', 'then', 'on', 'to', 'the', 'preservation', 'of', 'those', 'images', 'with', 'photographic', 'media', 'and', 'finally', 'the', 'digital', 'encoding', 'of', 'that', 'information', 'via', 'ccds', 'this', 'last', 'step', 'has', 'enabled', 'astronomy', 'to', 'move', 'into', 'a', 'fully', 'automated', 'era', 'where', 'data', 'is', 'recorded', 'analyzed', 'and', 'interpreted', 'often', 'without', 'any', 'direct', 'visual', 'inspection', 'sky', 'in', 'google', 'earth', 'completes', 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709.0753 | On the structure of the Si(103) surface | Although (103) is a stable nominal orientation for both silicon and
germanium, experimental observations revealed that in the case of silicon this
surface remains disordered on an atomic scale even after careful annealing. We
report here a set of low-energy reconstruction models corresponding to $1\times
2$, $2\times 2$, and $1\times 4$ periodicities, and propose that the observed
disorder stems from the presence of several coexisting reconstructions with
different morphologies and nearly equal surface energies. These models also
suggest that the model structures previously reported in the literature for the
(103) orientation have very high surface energies and are thus unlikely to be
experimentally observed.
| cond-mat.mtrl-sci | although 103 is a stable nominal orientation for both silicon and germanium experimental observations revealed that in the case of silicon this surface remains disordered on an atomic scale even after careful annealing we report here a set of lowenergy reconstruction models corresponding to 1times 2 2times 2 and 1times 4 periodicities and propose that the observed disorder stems from the presence of several coexisting reconstructions with different morphologies and nearly equal surface energies these models also suggest that the model structures previously reported in the literature for the 103 orientation have very high surface energies and are thus unlikely to be experimentally observed | [['although', '103', 'is', 'a', 'stable', 'nominal', 'orientation', 'for', 'both', 'silicon', 'and', 'germanium', 'experimental', 'observations', 'revealed', 'that', 'in', 'the', 'case', 'of', 'silicon', 'this', 'surface', 'remains', 'disordered', 'on', 'an', 'atomic', 'scale', 'even', 'after', 'careful', 'annealing', 'we', 'report', 'here', 'a', 'set', 'of', 'lowenergy', 'reconstruction', 'models', 'corresponding', 'to', '1times', '2', '2times', '2', 'and', '1times', '4', 'periodicities', 'and', 'propose', 'that', 'the', 'observed', 'disorder', 'stems', 'from', 'the', 'presence', 'of', 'several', 'coexisting', 'reconstructions', 'with', 'different', 'morphologies', 'and', 'nearly', 'equal', 'surface', 'energies', 'these', 'models', 'also', 'suggest', 'that', 'the', 'model', 'structures', 'previously', 'reported', 'in', 'the', 'literature', 'for', 'the', '103', 'orientation', 'have', 'very', 'high', 'surface', 'energies', 'and', 'are', 'thus', 'unlikely', 'to', 'be', 'experimentally', 'observed']] | [-0.08513862003411095, 0.19850197806968375, -0.010451225483288558, 0.045730060033607654, 0.04571677212907861, -0.12845686636193512, 0.028245638993282158, 0.4391530531888398, -0.20566864302740073, -0.38025931489224046, 0.1046756704924449, -0.2850896088549724, -0.12918106484665678, 0.1982346776371392, 0.011041250836569816, 0.017566097900271416, 0.04328872631930818, -0.035442997817881405, -0.12120564541188426, -0.22917555561826491, 0.25277979334350675, 0.06602712263030788, 0.2893633427794647, 0.07117264330512486, 0.07675521777351745, -0.07132116909129903, 0.043235019637415044, 0.021666173675419904, -0.12881949075486213, 0.09815203748159827, 0.2224675448589131, 0.012304923138379728, 0.1760410007644588, -0.45064128124011826, -0.2144301688620964, 0.061037983279675245, 0.11849218314567295, 0.11352864934955366, -0.07315031716335887, -0.23955459575518034, 0.12307056833602613, -0.12335776433778498, -0.11036126724390599, -0.044644930973075904, 0.04671719730294381, -0.041385243740828276, -0.215298733621379, 0.11565954890521915, 0.03761191149421323, 0.06678108091000468, -0.13793423706486535, -0.14881661212824, -0.04887687341229489, 0.046872958702106886, 0.019686980590519782, 0.03756971181540463, 0.13672916183266073, -0.09966356190181194, -0.10894561966527433, 0.37227501241543975, -0.015212657279334962, -0.10607724430827567, 0.24314097681781277, -0.1918588845471207, -0.1257822695098674, 0.20174385960966063, 0.1231873454973818, 0.10363512921209733, -0.11879118381497952, 0.039912548822310503, -0.024038658264684133, 0.22358528525532725, 0.06502875234806337, 0.046330915517711006, 0.21661011829900628, 0.18193605877772476, 0.040733157066055216, 0.08885762319998601, -0.1916285814569654, -0.008948905424823841, -0.23598368987082863, -0.08444592872939001, -0.1547528990284683, 0.06407537856676544, -0.09222934002774799, -0.15306268175705695, 0.3740862399930708, 0.16777800489217043, 0.24424638465279713, 0.020738626404916152, 0.22908671683846757, 0.05799898749585107, 0.052226172612371065, 0.02649443548020477, 0.2893300525941483, 0.10922189791185352, 0.0421027403163652, -0.1799273076668704, 0.07107488885790539, -0.045393370324745774] |
709.0754 | Coherent Control of Trapped Bosons | We investigate the quantum behavior of a mesoscopic two-boson system produced
by number-squeezing ultracold gases of alkali metal atoms. The quantum Poincare
maps of the wavefunctions are affected by chaos in those regions of the phase
space where the classical dynamics produces features that are comparable to
hbar. We also investigate the possibility for quantum control in the dynamics
of excitations in these systems. Controlled excitations are mediated by pulsed
signals that cause Stimulated Raman Adiabatic passage (STIRAP) from the ground
state to a state of higher energy. The dynamics of this transition is affected
by chaos caused by the pulses in certain regions of the phase space. A
transition to chaos can thus provide a method of controlling STIRAP.
| physics.atom-ph | we investigate the quantum behavior of a mesoscopic twoboson system produced by numbersqueezing ultracold gases of alkali metal atoms the quantum poincare maps of the wavefunctions are affected by chaos in those regions of the phase space where the classical dynamics produces features that are comparable to hbar we also investigate the possibility for quantum control in the dynamics of excitations in these systems controlled excitations are mediated by pulsed signals that cause stimulated raman adiabatic passage stirap from the ground state to a state of higher energy the dynamics of this transition is affected by chaos caused by the pulses in certain regions of the phase space a transition to chaos can thus provide a method of controlling stirap | [['we', 'investigate', 'the', 'quantum', 'behavior', 'of', 'a', 'mesoscopic', 'twoboson', 'system', 'produced', 'by', 'numbersqueezing', 'ultracold', 'gases', 'of', 'alkali', 'metal', 'atoms', 'the', 'quantum', 'poincare', 'maps', 'of', 'the', 'wavefunctions', 'are', 'affected', 'by', 'chaos', 'in', 'those', 'regions', 'of', 'the', 'phase', 'space', 'where', 'the', 'classical', 'dynamics', 'produces', 'features', 'that', 'are', 'comparable', 'to', 'hbar', 'we', 'also', 'investigate', 'the', 'possibility', 'for', 'quantum', 'control', 'in', 'the', 'dynamics', 'of', 'excitations', 'in', 'these', 'systems', 'controlled', 'excitations', 'are', 'mediated', 'by', 'pulsed', 'signals', 'that', 'cause', 'stimulated', 'raman', 'adiabatic', 'passage', 'stirap', 'from', 'the', 'ground', 'state', 'to', 'a', 'state', 'of', 'higher', 'energy', 'the', 'dynamics', 'of', 'this', 'transition', 'is', 'affected', 'by', 'chaos', 'caused', 'by', 'the', 'pulses', 'in', 'certain', 'regions', 'of', 'the', 'phase', 'space', 'a', 'transition', 'to', 'chaos', 'can', 'thus', 'provide', 'a', 'method', 'of', 'controlling', 'stirap']] | [-0.16857272940687834, 0.2856736978593593, -0.0801934746055243, 0.043925378165052584, 0.056091849342919886, -0.10797104477339113, 0.08959181306806083, 0.346020931036522, -0.29284615302458405, -0.23182088340787838, 0.02361370538613604, -0.2781988921769274, -0.13872753416653721, 0.21224179941539964, 0.01110764421755448, 0.05779129262858381, 0.01508968836084629, -0.012528500616463134, -0.04622555684375887, -0.16404608534746026, 0.3395604837414188, 0.05849572544781646, 0.2640305501389472, 0.011113063995920432, 0.05934489545567582, -0.04614877199443678, 0.07653317170528075, -0.06395866716484307, -0.11080615064577917, 0.10383479057345539, 0.2384585619904101, 0.01211319564996908, 0.24133888599462808, -0.46434242678806187, -0.2564370293325434, 0.09206147739120449, 0.1632926610802921, 0.1718935414700051, -0.04706069181362788, -0.38194194483900595, -0.013849845443231364, -0.13419395025703124, -0.1283459315270496, -0.1267919606839617, -0.010372078884392977, 0.029231863726939384, -0.21618206191148298, 0.0941803508726783, 0.06830633539017678, 0.06472645621979609, -0.05195143330104959, 0.015044704189252418, -0.01096115674590692, 0.08081434150614465, -0.04854893024894409, 0.007539340391910325, 0.194464588460202, -0.17220747827086597, -0.15467319450496386, 0.39840350529799856, -0.09790171428079096, -0.11995125885587185, 0.17895381797570736, -0.19383274183686203, -0.059439735409493245, 0.20193718522787094, 0.12998532633161328, 0.1205327788911139, -0.11261662483060111, 0.05376614088114972, 0.03639257551015665, 0.15498871851693063, 0.06638680387210721, 0.10338484876944373, 0.2172018905597118, 0.13043389307179798, 0.00949279012468954, 0.17774332921253516, -0.08578496413344207, -0.17581007035720783, -0.2276982723827435, -0.149556563111643, -0.21534027922122428, 0.041755483302404174, -0.03024636269935096, -0.13081915120516593, 0.4057814580000316, 0.1585339975519067, 0.19082951033487916, -0.07806503485771828, 0.24986501552630216, 0.165410601402012, 0.006021730894766127, 0.02142117436451372, 0.2931420001317747, 0.14390186404149669, 0.06430465594360915, -0.2984683004770583, 0.0687809914466925, 0.06773509115446359] |
709.0755 | Perfect state transfer over distance-regular spin networks | By considering distance-regular graphs as spin networks, first we introduce
some particular spin Hamiltonians which are extended version of those of
Refs.\cite{8,9''}. Then, by using spectral analysis techniques and algebraic
combinatoric structure of distance-regular graphs such as stratification
introduced in \cite{obata, js} and Bose-Mesner algebra, we give a method for
finding a set of coupling constants in the Hamiltonians so that a particular
state initially encoded on one site of a network will evolve freely to the
opposite site without any dynamical controls, i.e., we show that how to derive
the parameters of the system so that perfect state transfer (PST) can be
achieved. As examples, the cycle networks with even number of vertices and
$d$-dimensional hypercube networks are considered in details and the method is
applied for some important distance-regular networks in appendix.
| quant-ph | by considering distanceregular graphs as spin networks first we introduce some particular spin hamiltonians which are extended version of those of refscite89 then by using spectral analysis techniques and algebraic combinatoric structure of distanceregular graphs such as stratification introduced in citeobata js and bosemesner algebra we give a method for finding a set of coupling constants in the hamiltonians so that a particular state initially encoded on one site of a network will evolve freely to the opposite site without any dynamical controls ie we show that how to derive the parameters of the system so that perfect state transfer pst can be achieved as examples the cycle networks with even number of vertices and ddimensional hypercube networks are considered in details and the method is applied for some important distanceregular networks in appendix | [['by', 'considering', 'distanceregular', 'graphs', 'as', 'spin', 'networks', 'first', 'we', 'introduce', 'some', 'particular', 'spin', 'hamiltonians', 'which', 'are', 'extended', 'version', 'of', 'those', 'of', 'refscite89', 'then', 'by', 'using', 'spectral', 'analysis', 'techniques', 'and', 'algebraic', 'combinatoric', 'structure', 'of', 'distanceregular', 'graphs', 'such', 'as', 'stratification', 'introduced', 'in', 'citeobata', 'js', 'and', 'bosemesner', 'algebra', 'we', 'give', 'a', 'method', 'for', 'finding', 'a', 'set', 'of', 'coupling', 'constants', 'in', 'the', 'hamiltonians', 'so', 'that', 'a', 'particular', 'state', 'initially', 'encoded', 'on', 'one', 'site', 'of', 'a', 'network', 'will', 'evolve', 'freely', 'to', 'the', 'opposite', 'site', 'without', 'any', 'dynamical', 'controls', 'ie', 'we', 'show', 'that', 'how', 'to', 'derive', 'the', 'parameters', 'of', 'the', 'system', 'so', 'that', 'perfect', 'state', 'transfer', 'pst', 'can', 'be', 'achieved', 'as', 'examples', 'the', 'cycle', 'networks', 'with', 'even', 'number', 'of', 'vertices', 'and', 'ddimensional', 'hypercube', 'networks', 'are', 'considered', 'in', 'details', 'and', 'the', 'method', 'is', 'applied', 'for', 'some', 'important', 'distanceregular', 'networks', 'in', 'appendix']] | [-0.1432343949299221, 0.11997746780627605, -0.034657604597283134, 0.06920791033277937, -0.06286742113474192, -0.17668951576386904, 0.026449305986082465, 0.405442159174885, -0.2780562481105638, -0.28960286878811364, 0.12232364972023237, -0.24524970227767798, -0.20111729034794157, 0.17457444344428508, -0.05275187504770601, 0.013657732519222367, 0.1257327051028948, 0.08758552300666149, -0.02327960286162455, -0.24268605832934775, 0.3704861497548832, 0.023452977755699645, 0.20554442730534708, 0.04838243293731163, 0.08651568353613556, 0.028566601239920903, 0.026802821596378857, 0.07297538653294781, -0.12923922660934983, 0.10694080567213171, 0.25519246496366, 0.12256847384163518, 0.20558556825606944, -0.4227261400894459, -0.20842110776522366, 0.1500801501132435, 0.1479927401629869, 0.14089176408103385, 0.0019636511349359134, -0.2568688692091117, 0.07957046505444768, -0.1844054158515946, -0.11041613962063848, -0.10163443096892232, 0.015459248725550644, 0.035616770162429624, -0.25047214207756263, -0.01716177745468237, 0.09663439887663117, 0.05491610950169464, -0.014626476229309585, -0.1383486681663657, -0.06517403480194678, 0.13721002484177888, -0.04196081380536215, 0.02614150317315238, 0.09040493581613357, -0.10849930001704981, -0.17310594039207156, 0.36470814250148553, -0.04159157394491503, -0.22648551277322412, 0.13518717466980557, -0.10091142518671625, -0.16982845823054737, 0.06482127960418549, 0.15076042954443078, 0.13511840111900572, -0.14646981507195794, 0.0839984540697046, -0.06249033805744892, 0.1309912423814901, 0.05959629548967562, 0.06130174553431006, 0.13240409565553296, 0.12642220283195263, 0.09789691879202357, 0.1831983528514463, -0.023553551451627616, -0.07905033359191183, -0.2719390216445776, -0.11957187496503166, -0.22776527693636264, 0.0862881500233374, -0.11339686734374316, -0.15818093505125339, 0.4288743907148301, 0.1400073992368892, 0.187257190129127, 0.046424528276089186, 0.2160766456738312, 0.05840827692593324, 0.06162169569782264, 0.10859553314477319, 0.18946721486590282, 0.17156886958841686, 0.05267243438301551, -0.14862693575030955, 0.04384156160240033, 0.12213881980895883] |
709.0756 | Calculating effective resistances on underlying networks of association
schemes | Recently, in Refs. \cite{jsj} and \cite{res2}, calculation of effective
resistances on distance-regular networks was investigated, where in the first
paper, the calculation was based on stratification and Stieltjes function
associated with the network, whereas in the latter one a recursive formula for
effective resistances was given based on the Christoffel-Darboux identity. In
this paper, evaluation of effective resistances on more general networks which
are underlying networks of association schemes is considered, where by using
the algebraic combinatoric structures of association schemes such as
stratification and Bose-Mesner algebras, an explicit formula for effective
resistances on these networks is given in terms of the parameters of
corresponding association schemes. Moreover, we show that for particular
underlying networks of association schemes with diameter $d$ such that the
adjacency matrix $A$ possesses $d+1$ distinct eigenvalues, all of the other
adjacency matrices $A_i$, $i\neq 0,1$ can be written as polynomials of $A$,
i.e., $A_i=P_i(A)$, where $P_i$ is not necessarily of degree $i$. Then, we use
this property for these particular networks and assume that all of the
conductances except for one of them, say $c\equiv c_1=1$, are zero to give a
procedure for evaluating effective resistances on these networks. The
preference of this procedure is that one can evaluate effective resistances by
using the structure of their Bose-Mesner algebra without any need to know the
spectrum of the adjacency matrices.
| math-ph math.MP | recently in refs citejsj and citeres2 calculation of effective resistances on distanceregular networks was investigated where in the first paper the calculation was based on stratification and stieltjes function associated with the network whereas in the latter one a recursive formula for effective resistances was given based on the christoffeldarboux identity in this paper evaluation of effective resistances on more general networks which are underlying networks of association schemes is considered where by using the algebraic combinatoric structures of association schemes such as stratification and bosemesner algebras an explicit formula for effective resistances on these networks is given in terms of the parameters of corresponding association schemes moreover we show that for particular underlying networks of association schemes with diameter d such that the adjacency matrix a possesses d1 distinct eigenvalues all of the other adjacency matrices a_i ineq 01 can be written as polynomials of a ie a_ip_ia where p_i is not necessarily of degree i then we use this property for these particular networks and assume that all of the conductances except for one of them say cequiv c_11 are zero to give a procedure for evaluating effective resistances on these networks the preference of this procedure is that one can evaluate effective resistances by using the structure of their bosemesner algebra without any need to know the spectrum of the adjacency matrices | [['recently', 'in', 'refs', 'citejsj', 'and', 'citeres2', 'calculation', 'of', 'effective', 'resistances', 'on', 'distanceregular', 'networks', 'was', 'investigated', 'where', 'in', 'the', 'first', 'paper', 'the', 'calculation', 'was', 'based', 'on', 'stratification', 'and', 'stieltjes', 'function', 'associated', 'with', 'the', 'network', 'whereas', 'in', 'the', 'latter', 'one', 'a', 'recursive', 'formula', 'for', 'effective', 'resistances', 'was', 'given', 'based', 'on', 'the', 'christoffeldarboux', 'identity', 'in', 'this', 'paper', 'evaluation', 'of', 'effective', 'resistances', 'on', 'more', 'general', 'networks', 'which', 'are', 'underlying', 'networks', 'of', 'association', 'schemes', 'is', 'considered', 'where', 'by', 'using', 'the', 'algebraic', 'combinatoric', 'structures', 'of', 'association', 'schemes', 'such', 'as', 'stratification', 'and', 'bosemesner', 'algebras', 'an', 'explicit', 'formula', 'for', 'effective', 'resistances', 'on', 'these', 'networks', 'is', 'given', 'in', 'terms', 'of', 'the', 'parameters', 'of', 'corresponding', 'association', 'schemes', 'moreover', 'we', 'show', 'that', 'for', 'particular', 'underlying', 'networks', 'of', 'association', 'schemes', 'with', 'diameter', 'd', 'such', 'that', 'the', 'adjacency', 'matrix', 'a', 'possesses', 'd1', 'distinct', 'eigenvalues', 'all', 'of', 'the', 'other', 'adjacency', 'matrices', 'a_i', 'ineq', '01', 'can', 'be', 'written', 'as', 'polynomials', 'of', 'a', 'ie', 'a_ip_ia', 'where', 'p_i', 'is', 'not', 'necessarily', 'of', 'degree', 'i', 'then', 'we', 'use', 'this', 'property', 'for', 'these', 'particular', 'networks', 'and', 'assume', 'that', 'all', 'of', 'the', 'conductances', 'except', 'for', 'one', 'of', 'them', 'say', 'cequiv', 'c_11', 'are', 'zero', 'to', 'give', 'a', 'procedure', 'for', 'evaluating', 'effective', 'resistances', 'on', 'these', 'networks', 'the', 'preference', 'of', 'this', 'procedure', 'is', 'that', 'one', 'can', 'evaluate', 'effective', 'resistances', 'by', 'using', 'the', 'structure', 'of', 'their', 'bosemesner', 'algebra', 'without', 'any', 'need', 'to', 'know', 'the', 'spectrum', 'of', 'the', 'adjacency', 'matrices']] | [-0.14347562833158467, 0.07029375483850615, -0.047219178407570464, 0.04363306583721308, -0.062381308309750645, -0.1743322729367998, 0.03800212588425524, 0.3893264656475334, -0.25148608141603906, -0.24278980301447142, 0.09150023630197235, -0.2560916933470179, -0.2054149367687133, 0.1606059688193774, -0.04989575383175785, 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709.0757 | Morita equivalence of dual operator algebras | We consider a variant of the notion of Morita equivalence appropriate to
weak* closed algebras of Hilbert space operators, which we call {\em weak
Morita equivalence}. We obtain new variants, appropriate to the dual algebra
setting, of the basic theory of strong Morita equivalence, and new
nonselfadjoint variants of aspects of Rieffel's $W^*$-algebraic Morita
equivalence.
| math.OA math.FA | we consider a variant of the notion of morita equivalence appropriate to weak closed algebras of hilbert space operators which we call em weak morita equivalence we obtain new variants appropriate to the dual algebra setting of the basic theory of strong morita equivalence and new nonselfadjoint variants of aspects of rieffels walgebraic morita equivalence | [['we', 'consider', 'a', 'variant', 'of', 'the', 'notion', 'of', 'morita', 'equivalence', 'appropriate', 'to', 'weak', 'closed', 'algebras', 'of', 'hilbert', 'space', 'operators', 'which', 'we', 'call', 'em', 'weak', 'morita', 'equivalence', 'we', 'obtain', 'new', 'variants', 'appropriate', 'to', 'the', 'dual', 'algebra', 'setting', 'of', 'the', 'basic', 'theory', 'of', 'strong', 'morita', 'equivalence', 'and', 'new', 'nonselfadjoint', 'variants', 'of', 'aspects', 'of', 'rieffels', 'walgebraic', 'morita', 'equivalence']] | [-0.18998696757480502, 0.07787329836494543, -0.04921763640066439, 0.20736306489191272, -0.14139472652988677, -0.2148979669521478, -0.003474371433681385, 0.3314298805526712, -0.45839526612650267, -0.16022805764593862, 0.05727499751374125, -0.16706828671422871, -0.13772579738870264, 0.09772956205362623, -0.21411936352537436, 0.004707853411408988, 0.10278662015175954, 0.06039030558683656, -0.18338210841810162, -0.20216594739732416, 0.5088786572387273, 0.033735324624417855, 0.29041712006384673, 0.018897845833138985, 0.14957447258586234, 0.04948844259858809, -0.0059360123324123295, 0.04901239278419366, -0.18016925452446395, 0.1768652676604688, 0.2715653664686463, 0.14578685774044556, 0.29217191223393785, -0.35926226621324364, -0.012500521951270374, 0.16355446245182645, 0.08440560226921331, 0.004192918352253566, 0.004464878319677981, -0.35650774883953007, 0.07344596379605883, -0.21826294565742665, -0.10039638638157736, -0.12764390498738398, 0.0760841550247278, -0.011372962153770707, -0.27662177885120565, -0.02003319442102855, 0.14916696920990943, 0.12659746907990088, -0.11834475296464833, 0.042962063307111914, 0.025943399148739197, 0.032266763961789284, -0.0001872028076005253, -0.07293357452039015, 0.11462233698164875, -0.02480330907485702, -0.1866644492203539, 0.33166946213353765, -0.08291933519490571, -0.14556727389043028, 0.17428684801879255, -0.08552695842121136, -0.26710160151124, 0.024932864850217645, 0.020368770323693754, 0.18039743263613095, -0.09269293272359805, 0.23714197460794822, -0.15604648337784138, -0.003628693013028665, 0.0758917609737678, 0.10309637370096011, 0.06664763258939439, 0.05736132336103104, 0.11479035546495156, 0.18746901794590734, 0.10584603514183652, -0.11059750277887691, -0.3890308257361705, -0.20813716417178513, 0.0471254643433812, 0.14159288413145327, -0.13544902485684196, -0.21915381103754045, 0.3930314837023616, 0.19178241184827957, 0.10523074191402305, 0.15244258847299286, 0.16950932390860873, 0.07330781551585956, 0.10721311876550317, -0.02401640433818102, 0.2310813662003387, 0.38404071337797424, -0.03924697794189507, -0.12742254563014616, -0.11023101370612329, 0.3873140960762447] |
709.0758 | Simulation of an All-Silicon Tracker | We present recent improvements in the performance of the reconstruction of
non-prompt track in the SiD Detector Concept Design, including initial results
on the effect of longitudinal segmentation in the SiD tracker. We also describe
a generic tracking validation package developed at SCIPP.
| physics.ins-det | we present recent improvements in the performance of the reconstruction of nonprompt track in the sid detector concept design including initial results on the effect of longitudinal segmentation in the sid tracker we also describe a generic tracking validation package developed at scipp | [['we', 'present', 'recent', 'improvements', 'in', 'the', 'performance', 'of', 'the', 'reconstruction', 'of', 'nonprompt', 'track', 'in', 'the', 'sid', 'detector', 'concept', 'design', 'including', 'initial', 'results', 'on', 'the', 'effect', 'of', 'longitudinal', 'segmentation', 'in', 'the', 'sid', 'tracker', 'we', 'also', 'describe', 'a', 'generic', 'tracking', 'validation', 'package', 'developed', 'at', 'scipp']] | [-0.04617675145286634, 0.007068834018482025, -0.10978972816536593, 0.013891022565752961, -0.01144058281165916, -0.1074089361463002, -0.10044343079180391, 0.3764647401566076, -0.16512280871528526, -0.3265799232866875, 0.07221128196228123, -0.2972242645919323, -0.12165271746384543, 0.20119304095698132, -0.09162122013350558, 0.1298545887477176, 0.19139876693140628, 0.030436342560447926, -0.12086816028107045, -0.22066669859436103, 0.23617663741285025, 0.1374783546468893, 0.3516100313904327, 0.07924612251998381, 0.1389699560091939, 0.06580792892680959, -0.10703350977192438, 0.016233766830504634, -0.168218381118116, 0.06616058727309411, 0.2726087172104176, 0.16227079931170094, 0.21153913442651892, -0.3759304551017839, -0.11556898672566858, 0.007383040520687436, 0.0836039947908978, 0.10115897768112116, -0.13707568385194294, -0.3492784561416091, 0.08422754715781572, -0.23718543387516294, -0.08357686453044068, -0.03928245465693519, -0.036774586582946224, -0.012852356097725936, -0.23237026760051416, 0.026602288756145943, 0.04945934016452452, 0.050986520686121875, -0.06822030397868434, -0.15283351319538818, 0.04356618716143245, 0.11209046140009928, 0.002449312139042588, 0.041492586922940125, 0.15279146286030842, -0.15032324380089723, -0.17668195657951888, 0.2850335260290046, -0.05150094712802837, -0.23556239309525767, 0.16522697285142576, -0.1322803418043741, -0.17621962113175973, 0.12598409787426854, 0.30312987475461045, 0.08583961485690156, -0.17051355995584366, 0.03175481210657677, 0.02311684448965067, 0.13035611019924628, 0.004126806445636375, 0.009070830462976943, 0.13355896557507993, 0.33174547544398975, 0.017351887691062117, 0.18286650830630732, -0.19753021747415322, -0.031814113909075424, -0.3612422744721867, -0.14853493727440403, -0.10319159572489213, -0.10063184585508912, -0.015452718795385472, -0.16133628508379294, 0.49954518242630847, 0.20811312824577705, 0.16379249438123647, -0.028771061623512312, 0.374449024431754, -0.04145062773293534, 0.07344340630482103, 0.040376817504333896, 0.2831253499918899, 0.04436261228523975, 0.16114702278228346, -0.2623017596210851, 0.07450049207275083, 0.07128055161948121] |
709.0759 | Optical Cluster-Finding with An Adaptive Matched-Filter Technique:
Algorithm and Comparison with Simulations | We present a modified adaptive matched filter algorithm designed to identify
clusters of galaxies in wide-field imaging surveys such as the Sloan Digital
Sky Survey. The cluster-finding technique is fully adaptive to imaging surveys
with spectroscopic coverage, multicolor photometric redshifts, no redshift
information at all, and any combination of these within one survey. It works
with high efficiency in multi-band imaging surveys where photometric redshifts
can be estimated with well-understood error distributions. Tests of the
algorithm on realistic mock SDSS catalogs suggest that the detected sample is
~85% complete and over 90% pure for clusters with masses above 1.0*10^{14}
h^{-1} M_solar and redshifts up to z=0.45. The errors of estimated cluster
redshifts from maximum likelihood method are shown to be small (typically less
that 0.01) over the whole redshift range with photometric redshift errors
typical of those found in the Sloan survey. Inside the spherical radius
corresponding to a galaxy overdensity of Delta=200, we find the derived cluster
richness Lambda_{200} a roughly linear indicator of its virial mass M_{200},
which well recovers the relation between total luminosity and cluster mass of
the input simulation.
| astro-ph | we present a modified adaptive matched filter algorithm designed to identify clusters of galaxies in widefield imaging surveys such as the sloan digital sky survey the clusterfinding technique is fully adaptive to imaging surveys with spectroscopic coverage multicolor photometric redshifts no redshift information at all and any combination of these within one survey it works with high efficiency in multiband imaging surveys where photometric redshifts can be estimated with wellunderstood error distributions tests of the algorithm on realistic mock sdss catalogs suggest that the detected sample is 85 complete and over 90 pure for clusters with masses above 101014 h1 m_solar and redshifts up to z045 the errors of estimated cluster redshifts from maximum likelihood method are shown to be small typically less that 001 over the whole redshift range with photometric redshift errors typical of those found in the sloan survey inside the spherical radius corresponding to a galaxy overdensity of delta200 we find the derived cluster richness lambda_200 a roughly linear indicator of its virial mass m_200 which well recovers the relation between total luminosity and cluster mass of the input simulation | [['we', 'present', 'a', 'modified', 'adaptive', 'matched', 'filter', 'algorithm', 'designed', 'to', 'identify', 'clusters', 'of', 'galaxies', 'in', 'widefield', 'imaging', 'surveys', 'such', 'as', 'the', 'sloan', 'digital', 'sky', 'survey', 'the', 'clusterfinding', 'technique', 'is', 'fully', 'adaptive', 'to', 'imaging', 'surveys', 'with', 'spectroscopic', 'coverage', 'multicolor', 'photometric', 'redshifts', 'no', 'redshift', 'information', 'at', 'all', 'and', 'any', 'combination', 'of', 'these', 'within', 'one', 'survey', 'it', 'works', 'with', 'high', 'efficiency', 'in', 'multiband', 'imaging', 'surveys', 'where', 'photometric', 'redshifts', 'can', 'be', 'estimated', 'with', 'wellunderstood', 'error', 'distributions', 'tests', 'of', 'the', 'algorithm', 'on', 'realistic', 'mock', 'sdss', 'catalogs', 'suggest', 'that', 'the', 'detected', 'sample', 'is', '85', 'complete', 'and', 'over', '90', 'pure', 'for', 'clusters', 'with', 'masses', 'above', '101014', 'h1', 'm_solar', 'and', 'redshifts', 'up', 'to', 'z045', 'the', 'errors', 'of', 'estimated', 'cluster', 'redshifts', 'from', 'maximum', 'likelihood', 'method', 'are', 'shown', 'to', 'be', 'small', 'typically', 'less', 'that', '001', 'over', 'the', 'whole', 'redshift', 'range', 'with', 'photometric', 'redshift', 'errors', 'typical', 'of', 'those', 'found', 'in', 'the', 'sloan', 'survey', 'inside', 'the', 'spherical', 'radius', 'corresponding', 'to', 'a', 'galaxy', 'overdensity', 'of', 'delta200', 'we', 'find', 'the', 'derived', 'cluster', 'richness', 'lambda_200', 'a', 'roughly', 'linear', 'indicator', 'of', 'its', 'virial', 'mass', 'm_200', 'which', 'well', 'recovers', 'the', 'relation', 'between', 'total', 'luminosity', 'and', 'cluster', 'mass', 'of', 'the', 'input', 'simulation']] | 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709.076 | Quantum electron transport in toroidal carbon nanotubes with metallic
leads | A recursive Green's function method is employed to calculate the
density-of-states, transmission function, and current through a 150 layer (3,3)
armchair nanotorus (1800 atoms) with laterally attached metallic leads as
functions of relative lead angle and magnetic flux. Plateaus in the
transmissivity through the torus occur over wide ranges of lead placement,
accompanied by enhancements in the transmissivity through the torus as magnetic
flux normal to the toroidal plane is varied.
| quant-ph | a recursive greens function method is employed to calculate the densityofstates transmission function and current through a 150 layer 33 armchair nanotorus 1800 atoms with laterally attached metallic leads as functions of relative lead angle and magnetic flux plateaus in the transmissivity through the torus occur over wide ranges of lead placement accompanied by enhancements in the transmissivity through the torus as magnetic flux normal to the toroidal plane is varied | [['a', 'recursive', 'greens', 'function', 'method', 'is', 'employed', 'to', 'calculate', 'the', 'densityofstates', 'transmission', 'function', 'and', 'current', 'through', 'a', '150', 'layer', '33', 'armchair', 'nanotorus', '1800', 'atoms', 'with', 'laterally', 'attached', 'metallic', 'leads', 'as', 'functions', 'of', 'relative', 'lead', 'angle', 'and', 'magnetic', 'flux', 'plateaus', 'in', 'the', 'transmissivity', 'through', 'the', 'torus', 'occur', 'over', 'wide', 'ranges', 'of', 'lead', 'placement', 'accompanied', 'by', 'enhancements', 'in', 'the', 'transmissivity', 'through', 'the', 'torus', 'as', 'magnetic', 'flux', 'normal', 'to', 'the', 'toroidal', 'plane', 'is', 'varied']] | [-0.1632243077414976, 0.15694299499458358, -0.007434070608775381, -0.00291356632918854, -0.02630918405451615, -0.12230408989207846, 0.09199681148280613, 0.4328695988990891, -0.26504068564571126, -0.3351607801733722, 0.010001309304563721, -0.251675199940276, -0.08869946769661677, 0.2468701044595997, 0.017573691878310392, -0.0022664071673742154, -0.010321291032391535, -0.05394061558066644, -0.1103456803846737, -0.15543563837762658, 0.2671564079716172, 0.024119715173532005, 0.31421918204237875, 0.08906891639385385, 0.04549877918784467, 0.04871277768217342, 0.03742570215901753, 0.0253653914280708, -0.13323622000154475, 0.017906089549438214, 0.20084020815474887, -0.05241758432763983, 0.18059237222646324, -0.46175206924828005, -0.16431365694693276, 0.026952439315722023, 0.16809219746312626, 0.03159779808680776, 0.01837195894471042, -0.20957693470720673, 0.017855259707905878, -0.16913004209366167, -0.16724585613865459, 0.0013192959890609057, -0.02528504593770059, 0.052766049416853825, -0.24022474163539811, 0.10545781919811394, -0.044673924586341326, 0.08713353059293938, -0.036901466010636846, -0.11060424017864214, -0.08965923456462022, 0.07222331285765263, 0.048727005398766676, 0.10871908290173964, 0.2367554982336284, -0.0992125036640906, -0.06827630038360055, 0.3282532780496797, -0.08885278006438428, -0.16603139012028845, 0.11606422777641827, -0.16937999336153897, 0.025389395752580653, 0.2828005495231966, 0.11985796149557745, 0.1099096639868869, -0.08417694145997226, 0.021917193345922296, -0.03107720687673886, 0.12509394154726514, 0.1230652887688976, 0.03462972179461848, 0.27317028180499314, 0.10959639353021769, 0.08202396650326399, 0.19826355392874126, -0.20119200109071295, -0.03644498940032553, -0.23887102493793297, -0.13501487546403643, -0.13995200346230569, 0.09116056447022293, -0.09404070942923361, -0.22747372621899917, 0.4150649407275126, 0.09401644639093691, 0.23790349585699364, -0.007327093100863915, 0.25464291610709117, 0.1711895348025407, 0.12484605745477996, 0.04248485102934737, 0.22771998178738523, 0.22865586494699017, 0.12118597300952746, -0.21492899819211642, 0.0566970498733957, 0.016434023146924208] |
709.0761 | The coupling between pulsation and mass loss in massive stars | To what extent can pulsational instabilities resolve the mass-loss problem of
massive stars? How important is pulsation in structuring and modulating the
winds of these stars? What role does pulsation play in redistributing angular
momentum in massive stars? Although I cannot offer answers to these questions,
I hope at the very least to explain how they come to be asked.
| astro-ph | to what extent can pulsational instabilities resolve the massloss problem of massive stars how important is pulsation in structuring and modulating the winds of these stars what role does pulsation play in redistributing angular momentum in massive stars although i cannot offer answers to these questions i hope at the very least to explain how they come to be asked | [['to', 'what', 'extent', 'can', 'pulsational', 'instabilities', 'resolve', 'the', 'massloss', 'problem', 'of', 'massive', 'stars', 'how', 'important', 'is', 'pulsation', 'in', 'structuring', 'and', 'modulating', 'the', 'winds', 'of', 'these', 'stars', 'what', 'role', 'does', 'pulsation', 'play', 'in', 'redistributing', 'angular', 'momentum', 'in', 'massive', 'stars', 'although', 'i', 'can', 'not', 'offer', 'answers', 'to', 'these', 'questions', 'i', 'hope', 'at', 'the', 'very', 'least', 'to', 'explain', 'how', 'they', 'come', 'to', 'be', 'asked']] | [-0.07496858646207658, 0.21660061052343885, -0.10824495032582371, 0.1808159863061012, -0.21866020198422867, -0.1245791572833159, 0.061851067743340475, 0.42192349375271404, -0.2633650272657148, -0.3561683054097363, 0.03782442885596061, -0.24709693776046643, -0.07926743211163605, 0.17001109358808789, -0.14045819814973434, -0.06326452148009519, 0.11879306452990067, -0.04679761701797853, 0.017044159693483142, -0.34064819311081873, 0.3444077152440126, 0.09561988998387681, 0.09922021067105845, 0.04079690835911964, -0.02007613986822181, -0.18010960060522938, -0.05686068142474186, -0.0383549683544113, -0.1539164486104531, 0.044204907051905926, 0.34514671828231364, 0.19355916021178005, 0.29305565583168486, -0.44522075269554484, -0.20419182920004011, 0.06955594331270358, 0.3250980862553735, 0.08710848105704931, -0.01978822322715013, -0.12674719155537056, 0.07769568781673786, -0.10744435319554854, -0.17725004469517802, -0.06171889698560365, 0.032402482799819256, -0.008390037526116997, -0.20817840779505548, 0.06254916207399219, 0.12579718360402545, 0.06249054628195333, -0.041585341767698035, -0.09309874468895256, -0.05103122454411427, 0.16723090388857928, 0.11340545186177507, 0.06969184090276478, 0.09347416411657802, -0.1640948508026414, -0.05289720667556661, 0.43831186998085897, -0.025105012305935877, -0.1421966691669382, 0.21748793711427783, -0.22466901028681485, -0.16201354643200203, 0.07012922106096979, 0.21189759398398342, 0.08750783169611556, -0.13959200224947932, -0.06394883062877524, 0.0146580842002982, 0.17841631048893342, 0.13449602151197976, 0.10306649390211114, 0.37853229087090395, 0.08826307655831218, -0.02394091316544619, -0.004783284638580851, -0.08519678233099766, -0.06754246834268579, -0.21109631825543818, -0.11576586241879669, -0.07185586350282928, 0.11582692790863326, -0.05410627861193297, -0.1063663707258844, 0.33984386175870895, 0.2152318565984119, 0.16402031099576442, -0.09820374309039506, 0.21391449863335393, 0.10381961007007078, 0.11171101146667707, 0.16654605223018615, 0.3291939253934094, 0.17816180158783415, 0.13491916271751045, -0.2839062397490393, 0.09474948040957822, 0.013496885885347108] |
709.0762 | Regularizations of the Euler product representation for zeta functions
and the Birch--Swinnerton-Dyer conjecture | We consider a variant expression to regularize the Euler product
representation of the zeta functions, where we mainly apply to that of the
Riemann zeta function in this paper. The regularization itself is identical to
that of the zeta function of the summation expression, but the non-use of the
M\"oebius function enable us to confirm a finite behavior of residual terms
which means an absence of zeros except for the critical line. Same technique
can be applied to the $L$-function associated to the elliptic curve, and we can
deal with the Taylor expansion at the pole in critical strip which is deeply
related to the Birch--Swinnerton-Dyer conjecture.
| math-ph math.MP | we consider a variant expression to regularize the euler product representation of the zeta functions where we mainly apply to that of the riemann zeta function in this paper the regularization itself is identical to that of the zeta function of the summation expression but the nonuse of the moebius function enable us to confirm a finite behavior of residual terms which means an absence of zeros except for the critical line same technique can be applied to the lfunction associated to the elliptic curve and we can deal with the taylor expansion at the pole in critical strip which is deeply related to the birchswinnertondyer conjecture | [['we', 'consider', 'a', 'variant', 'expression', 'to', 'regularize', 'the', 'euler', 'product', 'representation', 'of', 'the', 'zeta', 'functions', 'where', 'we', 'mainly', 'apply', 'to', 'that', 'of', 'the', 'riemann', 'zeta', 'function', 'in', 'this', 'paper', 'the', 'regularization', 'itself', 'is', 'identical', 'to', 'that', 'of', 'the', 'zeta', 'function', 'of', 'the', 'summation', 'expression', 'but', 'the', 'nonuse', 'of', 'the', 'moebius', 'function', 'enable', 'us', 'to', 'confirm', 'a', 'finite', 'behavior', 'of', 'residual', 'terms', 'which', 'means', 'an', 'absence', 'of', 'zeros', 'except', 'for', 'the', 'critical', 'line', 'same', 'technique', 'can', 'be', 'applied', 'to', 'the', 'lfunction', 'associated', 'to', 'the', 'elliptic', 'curve', 'and', 'we', 'can', 'deal', 'with', 'the', 'taylor', 'expansion', 'at', 'the', 'pole', 'in', 'critical', 'strip', 'which', 'is', 'deeply', 'related', 'to', 'the', 'birchswinnertondyer', 'conjecture']] | [-0.16044548671463044, 0.027256682555536114, -0.16432899231456707, 0.08403166913248981, -0.1086283240980843, -0.08776367945753247, 0.03458688492238278, 0.2892308033497952, -0.2928790941521108, -0.2333506584737589, 0.09584650849253287, -0.25049068307434424, -0.17987448904907036, 0.1831776938166156, -0.05380439338770425, 0.060067524010681106, 0.003591686754844317, 0.07126196709713925, -0.09951225315899562, -0.255218693823336, 0.3883818700805167, 0.01943524698857392, 0.22709810200243075, 0.11226484030659233, 0.08420086632021398, 0.027406683365736054, 0.005705723924144546, -0.029547807107740475, -0.1203465946330134, 0.11045657352448623, 0.24130135670165034, 0.054395068567420275, 0.232739218915421, -0.37197440516238456, -0.16797237406772014, 0.14870294577781565, 0.1950301148049603, 0.02340227610727546, 0.06327435312897106, -0.20571688463406584, 0.10286433227843318, -0.15661880528014677, -0.20311229651637167, -0.05642457331408895, -0.00867838086125171, 0.03351733682755485, -0.30061023854694074, 0.06761026251016655, 0.01636096169501891, 0.048521421614721, -0.07286928923774476, -0.11582437487945796, 0.02399303828514068, 0.12120077752934716, 0.09505241872877683, 0.10460670834633513, 0.07082802742702242, -0.15782289332753727, -0.049278081403435946, 0.3359296395417268, -0.08813833710781047, -0.24117105401982772, 0.14467930199717668, -0.20192134901924738, -0.13968954170035702, 0.130799343711566, 0.13852081191943627, 0.14866674863776871, -0.09734577022788819, 0.08121250049922633, -0.047418112022297405, 0.12162058944074071, 0.10509547391018578, -0.05674767584722733, 0.16788972452039194, 0.03330382233851145, 0.04079157220217112, 0.21346888383611096, -0.07599137662137449, -0.09460336007351909, -0.32895309781812343, -0.2083480315256829, -0.1855935350943914, 0.06204248074807714, -0.08061546217973853, -0.24919643448926856, 0.4052656255314283, 0.13858767164975544, 0.21882817401141624, 0.09180865391749436, 0.24098609490146009, 0.22351822357681345, 0.11759858709002767, 0.012302809773517824, 0.15603255040325642, 0.15187489226347306, 0.05106168309505159, -0.21639057993888855, 0.045142600706682724, 0.15364138935213892] |
709.0763 | U(1)' solution to the mu-problem and the proton decay problem in
supersymmetry without R-parity | The Minimal Supersymmetric Standard Model (MSSM) is plagued by two major
fine-tuning problems: the mu-problem and the proton decay problem. We present a
simultaneous solution to both problems within the framework of a U(1)'-extended
MSSM (UMSSM), without requiring R-parity conservation. We identify several
classes of phenomenologically viable models and provide specific examples of
U(1)' charge assignments. Our models generically contain either lepton number
violating or baryon number violating renormalizable interactions, whose
coexistence is nevertheless automatically forbidden by the new U(1)' gauge
symmetry. The U(1)' symmetry also prohibits the potentially dangerous and often
ignored higher-dimensional proton decay operators such as QQQL and UUDE which
are still allowed by R-parity. Thus, under minimal assumptions, we show that
once the mu-problem is solved, the proton is sufficiently stable, even in the
presence of a minimum set of exotics fields, as required for anomaly
cancellation. Our models provide impetus for pursuing the collider
phenomenology of R-parity violation within the UMSSM framework.
| hep-ph | the minimal supersymmetric standard model mssm is plagued by two major finetuning problems the muproblem and the proton decay problem we present a simultaneous solution to both problems within the framework of a u1extended mssm umssm without requiring rparity conservation we identify several classes of phenomenologically viable models and provide specific examples of u1 charge assignments our models generically contain either lepton number violating or baryon number violating renormalizable interactions whose coexistence is nevertheless automatically forbidden by the new u1 gauge symmetry the u1 symmetry also prohibits the potentially dangerous and often ignored higherdimensional proton decay operators such as qqql and uude which are still allowed by rparity thus under minimal assumptions we show that once the muproblem is solved the proton is sufficiently stable even in the presence of a minimum set of exotics fields as required for anomaly cancellation our models provide impetus for pursuing the collider phenomenology of rparity violation within the umssm framework | [['the', 'minimal', 'supersymmetric', 'standard', 'model', 'mssm', 'is', 'plagued', 'by', 'two', 'major', 'finetuning', 'problems', 'the', 'muproblem', 'and', 'the', 'proton', 'decay', 'problem', 'we', 'present', 'a', 'simultaneous', 'solution', 'to', 'both', 'problems', 'within', 'the', 'framework', 'of', 'a', 'u1extended', 'mssm', 'umssm', 'without', 'requiring', 'rparity', 'conservation', 'we', 'identify', 'several', 'classes', 'of', 'phenomenologically', 'viable', 'models', 'and', 'provide', 'specific', 'examples', 'of', 'u1', 'charge', 'assignments', 'our', 'models', 'generically', 'contain', 'either', 'lepton', 'number', 'violating', 'or', 'baryon', 'number', 'violating', 'renormalizable', 'interactions', 'whose', 'coexistence', 'is', 'nevertheless', 'automatically', 'forbidden', 'by', 'the', 'new', 'u1', 'gauge', 'symmetry', 'the', 'u1', 'symmetry', 'also', 'prohibits', 'the', 'potentially', 'dangerous', 'and', 'often', 'ignored', 'higherdimensional', 'proton', 'decay', 'operators', 'such', 'as', 'qqql', 'and', 'uude', 'which', 'are', 'still', 'allowed', 'by', 'rparity', 'thus', 'under', 'minimal', 'assumptions', 'we', 'show', 'that', 'once', 'the', 'muproblem', 'is', 'solved', 'the', 'proton', 'is', 'sufficiently', 'stable', 'even', 'in', 'the', 'presence', 'of', 'a', 'minimum', 'set', 'of', 'exotics', 'fields', 'as', 'required', 'for', 'anomaly', 'cancellation', 'our', 'models', 'provide', 'impetus', 'for', 'pursuing', 'the', 'collider', 'phenomenology', 'of', 'rparity', 'violation', 'within', 'the', 'umssm', 'framework']] | [-0.12531369087837968, 0.22446917255177715, 0.018941741592434655, 0.19737677973736623, -0.12646321137435734, -0.2234024194778821, 0.053214534972696105, 0.26795359563740906, -0.20357280546075598, -0.33905512576175345, 0.09140289254237417, -0.2532288392881157, -0.05992372543551028, 0.09328291313960009, -0.01255174111100329, 0.08067450254405166, 0.02423241437756854, -0.016033290146485232, -0.04843818721254683, -0.23360342188785743, 0.28611361144027514, -0.0061540225651233816, 0.21012999371263633, 0.10948068238490789, 0.0667584944126392, -0.025903734176828983, 0.007561380066612297, -0.028161602625682666, -0.06807394710965017, 0.08944205461447365, 0.21059082473116497, 0.14414826844029935, 0.1439496697768996, -0.4469097795997076, -0.22187598032437883, 0.24140895861883166, 0.16009263224769266, 0.1262743208716048, -0.10628413799616276, -0.3029929180303292, 0.09170383027351349, -0.21287953175580615, -0.12025800147790841, -0.15174594512921136, -0.06355573833403978, -0.128526003734701, -0.3387333274563881, 0.0998471431969146, -0.0009274062439932778, 0.021856947616632483, -0.020523109077327666, -0.11103769365970971, -0.059604101187021585, -6.944513553456896e-05, 0.22371336427342242, -0.022959127562464612, 0.11071012520593158, -0.2068416840711217, -0.1700603710368845, 0.4409563640832521, -0.020950603981021863, -0.2348476143518261, 0.1500738397741892, -0.09710226336362102, -0.19304622543951983, 0.1379363249311117, 0.11985365466724868, 0.11829510617372431, -0.18741338970554863, 0.22301881683391228, -0.0717411177517597, 0.13442530349537635, 0.04814802368533364, 0.06174629629340474, 0.26494504613979797, 0.17793533294965888, 0.10580870491648271, 0.04630211702470852, -0.017189788738870698, -0.09086062240853289, -0.47018834576010704, -0.0775250675583816, -0.0767089710541212, 0.0372920349287759, -0.06091220936089885, -0.10501429943106831, 0.40969418946084135, 0.12860711557046542, 0.18487858515422625, 0.04187036663142573, 0.2719990045105101, 0.037707999352811376, 0.13597146570656574, 0.03424008132971061, 0.26237612043412484, 0.07908758869881083, 0.06525811925794593, -0.25834922775460084, 0.008412146937861374, 0.088498556427361] |
709.0764 | On the ruin time distribution for a Sparre Andersen process with
exponential claim sizes | We derive a closed-form (infinite series) representation for the distribution
of the ruin time for the Sparre Andersen model with exponentially distributed
claims. This extends a recent result of Dickson et al. (2005) for such
processes with Erlang inter-claim times. We illustrate our result in the cases
of gamma and mixed exponential inter-claim time distributions.
| math.PR | we derive a closedform infinite series representation for the distribution of the ruin time for the sparre andersen model with exponentially distributed claims this extends a recent result of dickson et al 2005 for such processes with erlang interclaim times we illustrate our result in the cases of gamma and mixed exponential interclaim time distributions | [['we', 'derive', 'a', 'closedform', 'infinite', 'series', 'representation', 'for', 'the', 'distribution', 'of', 'the', 'ruin', 'time', 'for', 'the', 'sparre', 'andersen', 'model', 'with', 'exponentially', 'distributed', 'claims', 'this', 'extends', 'a', 'recent', 'result', 'of', 'dickson', 'et', 'al', '2005', 'for', 'such', 'processes', 'with', 'erlang', 'interclaim', 'times', 'we', 'illustrate', 'our', 'result', 'in', 'the', 'cases', 'of', 'gamma', 'and', 'mixed', 'exponential', 'interclaim', 'time', 'distributions']] | [-0.08387835254384712, 0.07273330624977296, -0.11149841563945467, 0.03895363525529815, -0.010286625051362948, -0.09032153954560107, 0.10409889576787298, 0.32853094503622166, -0.2369028399486772, -0.28697531177577645, 0.09437925089785659, -0.24159355017949236, -0.13314380191943861, 0.1820602893490683, -0.11220553672279823, 0.09185433081266554, 0.03841812175444581, -0.0507824749939821, -0.004584845070811835, -0.30241733975708485, 0.22447741776916452, 0.07648324691267176, 0.24032771282575346, 3.542322665452957e-05, 0.0773194604891945, 0.05684907217933373, -0.09058697599155659, -0.08732777341372805, -0.16112192117355087, 0.07112003720619461, 0.23267550000243567, 0.12890117535875603, 0.24243211774578827, -0.38876048732887614, -0.2201399386098439, 0.12927134594329717, 0.09690683953972025, 0.08114261999726295, -0.036105259643359616, -0.2927641766992482, 0.021187560133297336, -0.2636865041472695, -0.18320345031944188, -0.01177388463507999, 0.12602305732328783, 0.08702514313838698, -0.3617613980207931, 0.13929621086201885, 0.1461524415591901, 0.010609171353280544, -0.03675143733535978, -0.16762456612830812, 0.07264454785141755, 0.056027368913319976, 0.06895675669127906, -0.00818223160776225, 0.01842044527557763, -0.03026838911781934, -0.17955030937763777, 0.2801297229630026, -0.09578073005276648, -0.13776997619054535, 0.16284727635370058, -0.13862682188099082, -0.20016092615710063, 0.08165816268036989, 0.15568082288584925, 0.15238144954835828, -0.07947023338214917, 0.17336900218876755, -0.11654138388958844, 0.06609112120826136, 0.10227697923440825, -0.03905818569050594, 0.06702567080713132, 0.12718123470390724, 0.031160844589414243, 0.14793633100661366, -0.018614534606141122, -0.15248325292380865, -0.32660137210041285, -0.20179267516359686, -0.19031550882553513, 0.068893423888155, -0.10035132565085818, -0.1496683368459344, 0.3706302379257977, 0.10552113004113463, 0.21477026717991315, 0.20937399227934128, 0.21543962278149345, 0.18803729471877556, -0.05591529886322943, 0.13996695833616699, 0.10286572931165044, 0.1184469632465731, 0.13241360300135882, -0.13965659221126275, 0.11913578148550269, 0.0727844282053411] |
709.0765 | Leptonic color models from Z_8 orbifolded AdS/CFT | We study orbifold compactifications of the type IIB superstring on AdS_5 x
S^5/Gamma, where Gamma is the abelian group Z_8, which can lead to non-SUSY
three and four family models based on quartification. In particular, we focus
on two models, one fully quartified model and one a model with two
trinification families and one quartification family, which reduces to the
standard model with a minimal leptonic color sector.
| hep-ph | we study orbifold compactifications of the type iib superstring on ads_5 x s5gamma where gamma is the abelian group z_8 which can lead to nonsusy three and four family models based on quartification in particular we focus on two models one fully quartified model and one a model with two trinification families and one quartification family which reduces to the standard model with a minimal leptonic color sector | [['we', 'study', 'orbifold', 'compactifications', 'of', 'the', 'type', 'iib', 'superstring', 'on', 'ads_5', 'x', 's5gamma', 'where', 'gamma', 'is', 'the', 'abelian', 'group', 'z_8', 'which', 'can', 'lead', 'to', 'nonsusy', 'three', 'and', 'four', 'family', 'models', 'based', 'on', 'quartification', 'in', 'particular', 'we', 'focus', 'on', 'two', 'models', 'one', 'fully', 'quartified', 'model', 'and', 'one', 'a', 'model', 'with', 'two', 'trinification', 'families', 'and', 'one', 'quartification', 'family', 'which', 'reduces', 'to', 'the', 'standard', 'model', 'with', 'a', 'minimal', 'leptonic', 'color', 'sector']] | [-0.0792014769730017, 0.1318444942095966, -0.027350977500618406, 0.11350386675313172, -0.09384304696383576, -0.23884465820579368, 0.001863597080845273, 0.3449373379928257, -0.17979692498391325, -0.2559317325411195, 0.1354500834431471, -0.2943515630128483, -0.10833782984903365, 0.15660152457668586, -0.06522650745076437, -0.03281944945003047, -0.0074188688798158455, 0.04331977499973481, -0.0944783590331843, -0.28429340209924814, 0.39036104400557553, -0.10938845912107464, 0.30476829830105556, -0.02267543827606873, 0.08730239931945548, -0.03955938876606524, 0.010459148762465426, -0.047083014086114636, -0.10974126567331648, 0.16292911693524342, 0.14438778949889555, 0.0640851580185082, 0.08002165981540174, -0.4147591426065474, -0.2460343592771978, 0.20588246641229047, 0.11997209521624344, 0.10008523793481855, -0.0036231698027360394, -0.2267073689197952, 0.05079281682176798, -0.22936332488615968, -0.10094191464172168, -0.008193319663405418, -0.047433092879752316, -0.08986636766613545, -0.25964135027518775, -0.0055432640241854115, 0.006238978934671843, -0.00017236348128680027, -0.018097779544239693, -0.11444550234238815, -0.07370817781228459, 0.008487573810711954, 0.1223304673348497, 0.05647659113023882, 0.04789670185665741, -0.140449104463738, -0.16574959344033038, 0.39652460421767144, -0.10910587352841641, -0.24810215102677996, 0.18297684026501057, -0.11659506244133368, -0.2328324395119015, 0.06778681520937067, 0.15207848657805836, 0.16552881240336734, -0.13123082795716595, 0.19648975548493167, -0.07769672428681092, 0.12914140442047606, 0.004222836246657552, 0.02231543945769469, 0.21329974871354573, 0.1917124951335912, -0.005226291483268142, 0.09896350725532764, -0.08657242085742341, -0.12033615368559505, -0.4015230495821346, -0.09096313495132508, -0.017341552408073436, 0.11169740417972207, -0.11986770979979844, -0.18015774266060555, 0.4736156694478158, 0.06880274244273703, 0.19436724780296738, 0.049739788081779174, 0.17135307802395386, 0.0014759872080475995, 0.05850818152116104, 0.04666926728201692, 0.18521789604600405, 0.09136484628261039, -0.045857281191274524, -0.18572376155520254, -0.09693732187875095, 0.22283240699801932] |
709.0766 | Search for Gravitational Waves Associated with 39 Gamma-Ray Bursts Using
Data from the Second, Third, and Fourth LIGO Runs | We present the results of a search for short-duration gravitational-wave
bursts associated with 39 gamma-ray bursts (GRBs) detected by gamma-ray
satellite experiments during LIGO's S2, S3, and S4 science runs. The search
involves calculating the crosscorrelation between two interferometer data
streams surrounding the GRB trigger time. We search for associated
gravitational radiation from single GRBs, and also apply statistical tests to
search for a gravitational-wave signature associated with the whole sample. For
the sample examined, we find no evidence for the association of gravitational
radiation with GRBs, either on a single-GRB basis or on a statistical basis.
Simulating gravitational-wave bursts with sine-gaussian waveforms, we set upper
limits on the root-sum-square of the gravitational-wave strain amplitude of
such waveforms at the times of the GRB triggers. We also demonstrate how a
sample of several GRBs can be used collectively to set constraints on
population models. The small number of GRBs and the significant change in
sensitivity of the detectors over the three runs, however, limits the
usefulness of a population study for the S2, S3, and S4 runs. Finally, we
discuss prospects for the search sensitivity for the ongoing S5 run, and beyond
for the next generation of detectors.
| gr-qc astro-ph | we present the results of a search for shortduration gravitationalwave bursts associated with 39 gammaray bursts grbs detected by gammaray satellite experiments during ligos s2 s3 and s4 science runs the search involves calculating the crosscorrelation between two interferometer data streams surrounding the grb trigger time we search for associated gravitational radiation from single grbs and also apply statistical tests to search for a gravitationalwave signature associated with the whole sample for the sample examined we find no evidence for the association of gravitational radiation with grbs either on a singlegrb basis or on a statistical basis simulating gravitationalwave bursts with sinegaussian waveforms we set upper limits on the rootsumsquare of the gravitationalwave strain amplitude of such waveforms at the times of the grb triggers we also demonstrate how a sample of several grbs can be used collectively to set constraints on population models the small number of grbs and the significant change in sensitivity of the detectors over the three runs however limits the usefulness of a population study for the s2 s3 and s4 runs finally we discuss prospects for the search sensitivity for the ongoing s5 run and beyond for the next generation of detectors | [['we', 'present', 'the', 'results', 'of', 'a', 'search', 'for', 'shortduration', 'gravitationalwave', 'bursts', 'associated', 'with', '39', 'gammaray', 'bursts', 'grbs', 'detected', 'by', 'gammaray', 'satellite', 'experiments', 'during', 'ligos', 's2', 's3', 'and', 's4', 'science', 'runs', 'the', 'search', 'involves', 'calculating', 'the', 'crosscorrelation', 'between', 'two', 'interferometer', 'data', 'streams', 'surrounding', 'the', 'grb', 'trigger', 'time', 'we', 'search', 'for', 'associated', 'gravitational', 'radiation', 'from', 'single', 'grbs', 'and', 'also', 'apply', 'statistical', 'tests', 'to', 'search', 'for', 'a', 'gravitationalwave', 'signature', 'associated', 'with', 'the', 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'we', 'discuss', 'prospects', 'for', 'the', 'search', 'sensitivity', 'for', 'the', 'ongoing', 's5', 'run', 'and', 'beyond', 'for', 'the', 'next', 'generation', 'of', 'detectors']] | [-0.11090911860071917, 0.1132080054080804, -0.020764763657296747, 0.1436379332010289, -0.08856137638183566, -0.03949518718752008, 0.08329624337082739, 0.3907462421418782, -0.15894666176790437, -0.33967436017317293, 0.10878609962522662, -0.3344036208720982, -0.06322898757691273, 0.3085177415901521, 0.06016815044009481, 0.027762257985695062, 0.11618814664197906, -0.013753669586997044, -0.09236822797335344, -0.21853910704252077, 0.2526903897866626, 0.1232707738784156, 0.2066771217422716, -0.050961265109094135, 0.10414522784989005, -0.008622699532998244, -0.10270108967348177, -0.04597322987912573, -0.11967997947414666, 0.03717969579688335, 0.24380553714059153, 0.20402622941011553, 0.18707075979333693, -0.43032339081434245, -0.2053340158950027, 0.16625565406511808, 0.1063607286834418, 0.06488117360720307, 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709.0767 | Exact Foldy-Wouthuysen transformation for gravitational waves and
magnetic field background | We consider an exact Foldy-Wouthuysen transformation for the Dirac spinor
field on the combined background of a gravitational wave and constant uniform
magnetic field. By taking the classical limit of the spinor field Hamiltonian
we arrive at the equations of motion for the non-relativistic spinning
particle. Two different kinds of the gravitational fields are considered and in
both cases the effect of the gravitational wave on the spinor field and on the
corresponding spinning particle may be enforced by the sufficiently strong
magnetic field. This result can be relevant for the astrophysical applications
and, in principle, useful for creating the gravitational wave detectors based
on atomic physics and precise interferometry.
| gr-qc | we consider an exact foldywouthuysen transformation for the dirac spinor field on the combined background of a gravitational wave and constant uniform magnetic field by taking the classical limit of the spinor field hamiltonian we arrive at the equations of motion for the nonrelativistic spinning particle two different kinds of the gravitational fields are considered and in both cases the effect of the gravitational wave on the spinor field and on the corresponding spinning particle may be enforced by the sufficiently strong magnetic field this result can be relevant for the astrophysical applications and in principle useful for creating the gravitational wave detectors based on atomic physics and precise interferometry | [['we', 'consider', 'an', 'exact', 'foldywouthuysen', 'transformation', 'for', 'the', 'dirac', 'spinor', 'field', 'on', 'the', 'combined', 'background', 'of', 'a', 'gravitational', 'wave', 'and', 'constant', 'uniform', 'magnetic', 'field', 'by', 'taking', 'the', 'classical', 'limit', 'of', 'the', 'spinor', 'field', 'hamiltonian', 'we', 'arrive', 'at', 'the', 'equations', 'of', 'motion', 'for', 'the', 'nonrelativistic', 'spinning', 'particle', 'two', 'different', 'kinds', 'of', 'the', 'gravitational', 'fields', 'are', 'considered', 'and', 'in', 'both', 'cases', 'the', 'effect', 'of', 'the', 'gravitational', 'wave', 'on', 'the', 'spinor', 'field', 'and', 'on', 'the', 'corresponding', 'spinning', 'particle', 'may', 'be', 'enforced', 'by', 'the', 'sufficiently', 'strong', 'magnetic', 'field', 'this', 'result', 'can', 'be', 'relevant', 'for', 'the', 'astrophysical', 'applications', 'and', 'in', 'principle', 'useful', 'for', 'creating', 'the', 'gravitational', 'wave', 'detectors', 'based', 'on', 'atomic', 'physics', 'and', 'precise', 'interferometry']] | [-0.1701688409825279, 0.19103434730588395, -0.04902545152316717, 0.09326419422551142, -0.0797737280711193, -0.06733021177774803, -0.04415170392021537, 0.31188420731235633, -0.20781551047482275, -0.29693794936492024, 0.0566321781529537, -0.20722951372577386, -0.0895912922241471, 0.24239283824889837, 0.06904857915995473, 0.050779672999950974, 0.020715426542499863, 0.07558854872530157, -0.0766742518721995, -0.19930854675952683, 0.3714536852118644, 0.04782069512558254, 0.2522491668096998, 0.02560875161804936, 0.13642746009863913, 0.07090809251266447, 0.00033951685763895513, 0.0457315837108333, -0.09020115271718665, 0.06507614509371872, 0.16650565851834306, 0.0826491666957736, 0.1792631775225428, -0.506393818624995, -0.23067846488715574, 0.04991134243001315, 0.11607538315213539, 0.18476688546890563, -0.07140287070704454, -0.3684309577569366, -0.001192158310335468, -0.1277972944461825, -0.16207434228960085, -0.07396928113673559, 0.03330010645282031, 0.043204616670581425, -0.26349713522940876, 0.0656172955981178, 0.06539716481030072, 0.01901477041908286, -0.09964911530048333, -0.08582694679075344, 0.03004633137871596, 0.07698905738070608, 0.08701439965622161, 0.0701623823387887, 0.1411074692859653, -0.1829864317339591, -0.08559841511093758, 0.4266917206939648, -0.129962959963913, -0.23861796573143113, 0.18540824839040976, -0.1525875910862603, -0.11073644797910344, 0.12312258367680691, 0.17371199597519907, 0.13460236079990864, -0.1556529640982097, 0.13413330660868353, 0.0033856760587448, 0.08520897416905923, 0.11419416751966557, 0.049958726010200655, 0.33111054983667354, 0.08389942568557507, 0.04500735809666697, 0.10296534105225212, -0.11846210408998145, -0.07859727314207703, -0.3436038158156655, -0.16457964107288386, -0.18615346429446203, 0.07360990818878319, -0.11376435097918147, -0.13981059748171407, 0.38180163027295333, 0.16451400379830208, 0.07925277652896263, -0.019442816307260233, 0.26085224872116336, 0.17790087514810943, 0.02206860987511887, 0.02683556442233649, 0.34491921422833743, 0.18391376962800596, 0.11657752561890944, -0.24624948162289167, -0.0645599994639104, 0.07857982214032248] |
709.0768 | Muon Identification without Iron | Muons can be identified with high efficiency and purity and reconstructed
with high precision is a detector with a dual readout calorimeter and a dual
solenoid to return the flux without iron. We shown CERN test beam data for the
calorimeter and calculations for the magnetic fields and the track
reconstruction. For isolated tracks, the rejection of pions against muons
ranges from $10^3$ at 20 GeV/c to $10^5$ at 300 GeV/c.
| physics.ins-det | muons can be identified with high efficiency and purity and reconstructed with high precision is a detector with a dual readout calorimeter and a dual solenoid to return the flux without iron we shown cern test beam data for the calorimeter and calculations for the magnetic fields and the track reconstruction for isolated tracks the rejection of pions against muons ranges from 103 at 20 gevc to 105 at 300 gevc | [['muons', 'can', 'be', 'identified', 'with', 'high', 'efficiency', 'and', 'purity', 'and', 'reconstructed', 'with', 'high', 'precision', 'is', 'a', 'detector', 'with', 'a', 'dual', 'readout', 'calorimeter', 'and', 'a', 'dual', 'solenoid', 'to', 'return', 'the', 'flux', 'without', 'iron', 'we', 'shown', 'cern', 'test', 'beam', 'data', 'for', 'the', 'calorimeter', 'and', 'calculations', 'for', 'the', 'magnetic', 'fields', 'and', 'the', 'track', 'reconstruction', 'for', 'isolated', 'tracks', 'the', 'rejection', 'of', 'pions', 'against', 'muons', 'ranges', 'from', '103', 'at', '20', 'gevc', 'to', '105', 'at', '300', 'gevc']] | [0.0005477929740330912, 0.26194198829659693, -0.03966520848670896, 0.07397690898915885, 0.05265285825671654, -0.1246964184134464, -0.000728166576894656, 0.3905895655633698, -0.1575336944784077, -0.4561495414187371, 0.018731684312486733, -0.40557001312066554, 0.17080182317172138, 0.19454919831486236, -0.0010903019484289934, 0.09280391161421865, 0.14374069670136547, -0.0012132980775507822, -0.11441421512724229, -0.17397715414638146, 0.1740979664945896, 0.2065041132048297, 0.30306080568903193, 0.07309958183011499, 0.21611785474331707, -0.0052799369720086245, -0.008425696779199889, 0.016910080430688153, -0.08044627209810513, -0.022644462129494673, 0.29242651967305533, 0.08258263124021846, 0.11258626319992711, -0.35851467036130563, -0.08871672083426949, 0.07680657927051816, 0.1131532719542443, 0.013033407753412152, -0.11702995974255699, -0.28516944438796227, 0.20250030606985092, -0.16860065047799702, -0.13132032818934866, -0.041405369317762446, -0.06963908299147872, 0.013803866214748524, -0.3201051899100798, 0.02672876666864039, -0.0361780170793973, 0.09948220753517169, -0.04588564617795424, -0.14771684088324472, 0.00020122463801797006, 0.02224081529724136, 0.0447169013787061, 0.1392247995073107, 0.19962883431753012, -0.14456364719039747, -0.1291771880728127, 0.3153061949267564, -0.005022822184042192, -0.17865579105703763, 0.18698856349982007, -0.2611591333890675, -0.03517370362123343, 0.2809546548925655, 0.21718678075138112, 0.07967230493963605, -0.19501775634330762, -0.020456232449439893, 0.07084391915901814, 0.21212971997512897, 0.09236404628978229, 0.03382944845607583, 0.20945341334166662, 0.21455354800998744, 0.05978474712891268, 0.11148499787627707, -0.2309427031014167, 0.037047202633300295, -0.3357966818230253, -0.1590119537661298, -0.09587457154149479, 0.08321652013126393, -0.05261705003733727, -0.0772684950288877, 0.3844917153309978, 0.0730526083752408, 0.19910140222751757, -0.022891131511718874, 0.32593594711851065, 0.009336083930667857, 0.08376029187577291, 0.054428401895024826, 0.2900749301459168, 0.18522740705069943, 0.18277856277328142, -0.20912415966142336, -0.010841216688687113, 0.021778567428503866] |
709.0769 | Strain Hardening of Polymer Glasses: Entanglements, Energetics, and
Plasticity | Simulations are used to examine the microscopic origins of strain hardening
in polymer glasses. While stress-strain curves for a wide range of temperature
can be fit to the functional form predicted by entropic network models, many
other results are fundamentally inconsistent with the physical picture
underlying these models. Stresses are too large to be entropic and have the
wrong trend with temperature. The most dramatic hardening at large strains
reflects increases in energy as chains are pulled taut between entanglements
rather than a change in entropy. A weak entropic stress is only observed in
shape recovery of deformed samples when heated above the glass transition.
While short chains do not form an entangled network, they exhibit partial shape
recovery, orientation, and strain hardening. Stresses for all chain lengths
collapse when plotted against a microscopic measure of chain stretching rather
than the macroscopic stretch. The thermal contribution to the stress is
directly proportional to the rate of plasticity as measured by breaking and
reforming of interchain bonds. These observations suggest that the correct
microscopic theory of strain hardening should be based on glassy state physics
rather than rubber elasticity.
| cond-mat.soft cond-mat.mtrl-sci | simulations are used to examine the microscopic origins of strain hardening in polymer glasses while stressstrain curves for a wide range of temperature can be fit to the functional form predicted by entropic network models many other results are fundamentally inconsistent with the physical picture underlying these models stresses are too large to be entropic and have the wrong trend with temperature the most dramatic hardening at large strains reflects increases in energy as chains are pulled taut between entanglements rather than a change in entropy a weak entropic stress is only observed in shape recovery of deformed samples when heated above the glass transition while short chains do not form an entangled network they exhibit partial shape recovery orientation and strain hardening stresses for all chain lengths collapse when plotted against a microscopic measure of chain stretching rather than the macroscopic stretch the thermal contribution to the stress is directly proportional to the rate of plasticity as measured by breaking and reforming of interchain bonds these observations suggest that the correct microscopic theory of strain hardening should be based on glassy state physics rather than rubber elasticity | [['simulations', 'are', 'used', 'to', 'examine', 'the', 'microscopic', 'origins', 'of', 'strain', 'hardening', 'in', 'polymer', 'glasses', 'while', 'stressstrain', 'curves', 'for', 'a', 'wide', 'range', 'of', 'temperature', 'can', 'be', 'fit', 'to', 'the', 'functional', 'form', 'predicted', 'by', 'entropic', 'network', 'models', 'many', 'other', 'results', 'are', 'fundamentally', 'inconsistent', 'with', 'the', 'physical', 'picture', 'underlying', 'these', 'models', 'stresses', 'are', 'too', 'large', 'to', 'be', 'entropic', 'and', 'have', 'the', 'wrong', 'trend', 'with', 'temperature', 'the', 'most', 'dramatic', 'hardening', 'at', 'large', 'strains', 'reflects', 'increases', 'in', 'energy', 'as', 'chains', 'are', 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709.077 | General K=-1 Friedman-Lema\^itre models and the averaging problem in
cosmology | We introduce the notion of general K=-1 Friedman-Lema\^itre (compact)
cosmologies and the notion of averaged evolution by means of an averaging map.
We then analyze the Friedman-Lema\^itre equations and the role of gravitational
energy on the universe evolution. We distinguish two asymptotic behaviors:
radiative and mass gap. We discuss the averaging problem in cosmology for them
through precise definitions. We then describe in quantitative detail the
radiative case, stressing on precise estimations on the evolution of the
gravitational energy and its effect in the universe's deceleration. Also in the
radiative case we present a smoothing property which tells that the long time
H^{3} x H^{2} stability of the flat K=-1 FL models implies H^{i+1} x H^{i}
stability independently of how big the initial state was in H^{i+1} x H^{i},
i.e. there is long time smoothing of the space-time. Finally we discuss the
existence of initial "big-bang" states of large gravitational energy, showing
that there is no mathematical restriction to assume it to be low at the
beginning of time.
| gr-qc | we introduce the notion of general k1 friedmanlemaitre compact cosmologies and the notion of averaged evolution by means of an averaging map we then analyze the friedmanlemaitre equations and the role of gravitational energy on the universe evolution we distinguish two asymptotic behaviors radiative and mass gap we discuss the averaging problem in cosmology for them through precise definitions we then describe in quantitative detail the radiative case stressing on precise estimations on the evolution of the gravitational energy and its effect in the universes deceleration also in the radiative case we present a smoothing property which tells that the long time h3 x h2 stability of the flat k1 fl models implies hi1 x hi stability independently of how big the initial state was in hi1 x hi ie there is long time smoothing of the spacetime finally we discuss the existence of initial bigbang states of large gravitational energy showing that there is no mathematical restriction to assume it to be low at the beginning of time | [['we', 'introduce', 'the', 'notion', 'of', 'general', 'k1', 'friedmanlemaitre', 'compact', 'cosmologies', 'and', 'the', 'notion', 'of', 'averaged', 'evolution', 'by', 'means', 'of', 'an', 'averaging', 'map', 'we', 'then', 'analyze', 'the', 'friedmanlemaitre', 'equations', 'and', 'the', 'role', 'of', 'gravitational', 'energy', 'on', 'the', 'universe', 'evolution', 'we', 'distinguish', 'two', 'asymptotic', 'behaviors', 'radiative', 'and', 'mass', 'gap', 'we', 'discuss', 'the', 'averaging', 'problem', 'in', 'cosmology', 'for', 'them', 'through', 'precise', 'definitions', 'we', 'then', 'describe', 'in', 'quantitative', 'detail', 'the', 'radiative', 'case', 'stressing', 'on', 'precise', 'estimations', 'on', 'the', 'evolution', 'of', 'the', 'gravitational', 'energy', 'and', 'its', 'effect', 'in', 'the', 'universes', 'deceleration', 'also', 'in', 'the', 'radiative', 'case', 'we', 'present', 'a', 'smoothing', 'property', 'which', 'tells', 'that', 'the', 'long', 'time', 'h3', 'x', 'h2', 'stability', 'of', 'the', 'flat', 'k1', 'fl', 'models', 'implies', 'hi1', 'x', 'hi', 'stability', 'independently', 'of', 'how', 'big', 'the', 'initial', 'state', 'was', 'in', 'hi1', 'x', 'hi', 'ie', 'there', 'is', 'long', 'time', 'smoothing', 'of', 'the', 'spacetime', 'finally', 'we', 'discuss', 'the', 'existence', 'of', 'initial', 'bigbang', 'states', 'of', 'large', 'gravitational', 'energy', 'showing', 'that', 'there', 'is', 'no', 'mathematical', 'restriction', 'to', 'assume', 'it', 'to', 'be', 'low', 'at', 'the', 'beginning', 'of', 'time']] | [-0.13577943141162313, 0.10084150817402647, -0.10407317251782622, 0.12771148154423875, -0.03982681909282609, -0.06221937750240226, 0.015738894340455445, 0.36828347489502306, -0.26068631356262423, -0.2703399873695463, 0.09713924367507071, -0.24025972604960996, -0.08043506295701279, 0.15884158920948588, -0.024170688806052082, 0.00966007237084287, 0.04201305260022099, 0.024056807028118674, -0.09891836798457793, -0.23843958051241493, 0.37177675733061716, 0.07511802172679564, 0.21048029532694648, 0.04078503955464215, 0.1272832934948555, -0.026431037142002105, -0.06013178159124576, -0.0043111581674958824, -0.21803697705802372, 0.04415544050231785, 0.17990310832964598, 0.13754451751279143, 0.25506314980251904, -0.4119055420711372, -0.20577970171380325, 0.13926807088920704, 0.11545044163444504, 0.11544538557752636, -0.029181132384454665, -0.25168836700658387, 0.06393969695864951, -0.1429178144496221, -0.1487376889098193, -0.0350953718487548, 0.06437770181236314, -0.0070723683391449715, -0.20791199221689055, 0.10268961649078782, 0.04912641821787334, 0.013301586853505592, -0.09662750688830622, -0.05679433223083285, -0.03771948976409153, 0.08974986087211226, 0.07031031746896722, 0.002544415717911438, 0.09893273531056984, -0.09990764225243463, -0.03334024055108715, 0.36597379326776286, -0.11873609983650196, -0.16408669527553948, 0.15922143696889987, -0.18687859488948738, -0.15897497696768956, 0.09283235564844451, 0.11410954327821268, 0.11287040449403359, -0.0908030016959463, 0.13622740268471, -0.013284111522226291, 0.1599150892090846, 0.10121993038416895, 0.04165862684004483, 0.22148526503467525, 0.14870999274036942, 0.06309837254987666, 0.09082846707573503, -0.08234435699541899, -0.08617310704850763, -0.3431147096055896, -0.1724057309150409, -0.12818073436029576, 0.10207126836689222, -0.12100213716948713, -0.14302567051470103, 0.3821803079918027, 0.1451581285015498, 0.18451872799743915, 0.047840907363105326, 0.272160222610602, 0.09844384686649396, -0.01842623938580413, 0.09755296035554017, 0.26507820709630536, 0.13343949732921753, 0.1210612832078126, -0.24468147067508808, 0.034065731638524485, 0.06278297162928878] |
709.0771 | Theory of light-induced current in molecular-tunneling junctions excited
with intense shaped pulses | A theory for light-induced current by strong optical pulses in
molecular-tunneling junctions is described. We consider a molecular bridge
represented by its highest occupied and lowest unoccupied levels, HOMO and
LUMO, respectively. We take into account two types of couplings between the
molecule and the metal leads: electron transfer that gives rise to net current
in the biased junction and energy transfer between the molecule and
electron-hole excitations in the leads. Using a Markovian approximation, we
derive a closed system of equations for the expectation values of the relevant
variables: populations and molecular polarization that are binary, and exciton
populations that are tetradic in the annihilation and creation operators for
electrons in the molecular states. We have proposed an optical control method
using chirped pulses for enhancing charge transfer in unbiased junctions where
the bridging molecule is characterized by a strong charge-transfer transition.
An approximate analytical solution of the resulting dynamical equation is
supported by a full numerical solution. When energy transfer between the
molecule and electron-hole excitations in the leads is absent, the optical
control problem for inducing charge transfer with linearly chirped pulse can be
reduced to the Landau-Zener transition to a decaying level. When chirp is fast
with respect to the rate of the electron transfer, the Landau theory is
recovered. The proposed control mechanism is potentially useful for developing
novel opto-electronic single-electron devices with optical gating based on
molecular nanojunctions.
| cond-mat.mes-hall cond-mat.other | a theory for lightinduced current by strong optical pulses in moleculartunneling junctions is described we consider a molecular bridge represented by its highest occupied and lowest unoccupied levels homo and lumo respectively we take into account two types of couplings between the molecule and the metal leads electron transfer that gives rise to net current in the biased junction and energy transfer between the molecule and electronhole excitations in the leads using a markovian approximation we derive a closed system of equations for the expectation values of the relevant variables populations and molecular polarization that are binary and exciton populations that are tetradic in the annihilation and creation operators for electrons in the molecular states we have proposed an optical control method using chirped pulses for enhancing charge transfer in unbiased junctions where the bridging molecule is characterized by a strong chargetransfer transition an approximate analytical solution of the resulting dynamical equation is supported by a full numerical solution when energy transfer between the molecule and electronhole excitations in the leads is absent the optical control problem for inducing charge transfer with linearly chirped pulse can be reduced to the landauzener transition to a decaying level when chirp is fast with respect to the rate of the electron transfer the landau theory is recovered the proposed control mechanism is potentially useful for developing novel optoelectronic singleelectron devices with optical gating based on molecular nanojunctions | [['a', 'theory', 'for', 'lightinduced', 'current', 'by', 'strong', 'optical', 'pulses', 'in', 'moleculartunneling', 'junctions', 'is', 'described', 'we', 'consider', 'a', 'molecular', 'bridge', 'represented', 'by', 'its', 'highest', 'occupied', 'and', 'lowest', 'unoccupied', 'levels', 'homo', 'and', 'lumo', 'respectively', 'we', 'take', 'into', 'account', 'two', 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709.0772 | Astrophysics Motivation behind the Pierre Auger Southern Observatory
Enhancements | The Pierre Auger Collaboration intends to extend the energy range of its
southern observatory in Argentina for high quality data from 0.1 to 3 EeV. The
extensions, described in accompanying papers, include three additional
fluorescence telescopes with a more elevated field of view (HEAT) and a nested
surface array with 750 and 433 m spacing respectively and additional muon
detection capabilities (AMIGA). The enhancement of the detector will allow
measurement of cosmic rays, using the same techniques, from below the second
knee up to the highest energies observed. The evolution of the spectrum through
the second knee and ankle, and corresponding predicted changes in composition,
are crucial to the understanding of the end of Galactic confinement and the
effects of propagation on the lower energy portion of the extragalactic flux.
The latter is strongly related to the cosmological distribution of sources and
to the composition of the injected spectrum. We discuss the science motivation
behind these enhancements as well as the impact of combined HEAT and AMIGA
information on the assessment of shower simulations and reconstruction
techniques.
| astro-ph | the pierre auger collaboration intends to extend the energy range of its southern observatory in argentina for high quality data from 01 to 3 eev the extensions described in accompanying papers include three additional fluorescence telescopes with a more elevated field of view heat and a nested surface array with 750 and 433 m spacing respectively and additional muon detection capabilities amiga the enhancement of the detector will allow measurement of cosmic rays using the same techniques from below the second knee up to the highest energies observed the evolution of the spectrum through the second knee and ankle and corresponding predicted changes in composition are crucial to the understanding of the end of galactic confinement and the effects of propagation on the lower energy portion of the extragalactic flux the latter is strongly related to the cosmological distribution of sources and to the composition of the injected spectrum we discuss the science motivation behind these enhancements as well as the impact of combined heat and amiga information on the assessment of shower simulations and reconstruction techniques | [['the', 'pierre', 'auger', 'collaboration', 'intends', 'to', 'extend', 'the', 'energy', 'range', 'of', 'its', 'southern', 'observatory', 'in', 'argentina', 'for', 'high', 'quality', 'data', 'from', '01', 'to', '3', 'eev', 'the', 'extensions', 'described', 'in', 'accompanying', 'papers', 'include', 'three', 'additional', 'fluorescence', 'telescopes', 'with', 'a', 'more', 'elevated', 'field', 'of', 'view', 'heat', 'and', 'a', 'nested', 'surface', 'array', 'with', '750', 'and', '433', 'm', 'spacing', 'respectively', 'and', 'additional', 'muon', 'detection', 'capabilities', 'amiga', 'the', 'enhancement', 'of', 'the', 'detector', 'will', 'allow', 'measurement', 'of', 'cosmic', 'rays', 'using', 'the', 'same', 'techniques', 'from', 'below', 'the', 'second', 'knee', 'up', 'to', 'the', 'highest', 'energies', 'observed', 'the', 'evolution', 'of', 'the', 'spectrum', 'through', 'the', 'second', 'knee', 'and', 'ankle', 'and', 'corresponding', 'predicted', 'changes', 'in', 'composition', 'are', 'crucial', 'to', 'the', 'understanding', 'of', 'the', 'end', 'of', 'galactic', 'confinement', 'and', 'the', 'effects', 'of', 'propagation', 'on', 'the', 'lower', 'energy', 'portion', 'of', 'the', 'extragalactic', 'flux', 'the', 'latter', 'is', 'strongly', 'related', 'to', 'the', 'cosmological', 'distribution', 'of', 'sources', 'and', 'to', 'the', 'composition', 'of', 'the', 'injected', 'spectrum', 'we', 'discuss', 'the', 'science', 'motivation', 'behind', 'these', 'enhancements', 'as', 'well', 'as', 'the', 'impact', 'of', 'combined', 'heat', 'and', 'amiga', 'information', 'on', 'the', 'assessment', 'of', 'shower', 'simulations', 'and', 'reconstruction', 'techniques']] | [-0.06310973994862709, 0.14905642315227075, -0.03699555964929994, 0.1046210949757731, -0.057542311577494704, -0.019394694709108543, 0.018823849243811717, 0.366198440992647, -0.2333451017979427, -0.41089479173244225, 0.07718689333171305, -0.33722002595126377, -0.047299825433789, 0.2138584945140417, 0.0051621717537653315, 0.016163672236028513, 0.0579677805906993, 0.0049028500696212726, -0.053361860182830845, -0.18214517663937393, 0.2836700391134847, 0.2111333954900419, 0.27115903136394076, 0.09280524675479149, 0.09051729282587873, -0.02782654560218423, -0.0844158899765146, -0.03595784351119172, -0.11299638364314085, 0.13199967355438605, 0.23149834401605618, 0.11879220768272625, 0.18570383729171114, -0.38057980784557044, -0.21101281555148504, 0.0778982881193528, 0.12561596464102634, 0.009665266629097993, -0.04258523720205106, -0.2826395496294576, 0.06805615154447528, -0.1485540053917695, -0.15388163576089373, 0.0496000972692197, -0.0723850413917506, 0.05537564312712957, -0.19411191231167302, 0.048638462965076755, 0.033055658471286505, 0.062829319755994, -0.0952519819588995, -0.15182891563317702, -0.029321021051803803, 0.14984131001506926, 0.0686157781007242, 0.03527070422548969, 0.16162518103341283, -0.14383664022010387, -0.10295265440376591, 0.3795878465292649, -0.09115804454816853, -0.06298478692243833, 0.18582996621755568, -0.22532743614184733, -0.1374894655677937, 0.18296029369904537, 0.18339005692143093, 0.05049220871411811, -0.15950655150306176, 0.053875760534111646, 0.05704655515366776, 0.16273331159783663, 0.062490405043913316, 0.021874414954208218, 0.22914062360285828, 0.17630550941178774, 0.08707101617040018, 0.10549090954930243, -0.19017803481922058, -0.01017439431289874, -0.3118026298694418, -0.13073248759775008, -0.15101704242939162, 0.05367666803363521, -0.052700941334396345, -0.1251339194575972, 0.4332915080953284, 0.1553623420580969, 0.19054281963745795, -0.007005012436312134, 0.30450158087157847, 0.03974672382971072, 0.06634873651904659, 0.054510139639549864, 0.27297819881584223, 0.13860912290881888, 0.1480367134277851, -0.22878873301045127, 0.03540936160285426, 0.0007547052974397012] |
709.0773 | Self-similar stable processes arising from high-density limits of
occupation times of particle systems | We extend results on time-rescaled occupation time fluctuation limits of the
$(d,\alpha, \beta)$-branching particle system $(0<\alpha \leq 2, 0<\beta \leq
1)$ with Poisson initial condition. The earlier results in the homogeneous case
(i.e., with Lebesgue initial intensity measure) were obtained for dimensions
$d>\alpha / \beta$ only, since the particle system becomes locally extinct if
$d\le \alpha / \beta$. In this paper we show that by introducing high density
of the initial Poisson configuration, limits are obtained for all dimensions,
and they coincide with the previous ones if $d>\alpha/\beta$. We also give
high-density limits for the systems with finite intensity measures (without
high density no limits exist in this case due to extinction); the results are
different and harder to obtain due to the non-invariance of the measure for the
particle motion. In both cases, i.e., Lebesgue and finite intensity measures,
for low dimensions ($d<\alpha(1+\beta)/\beta$ and
$d<\alpha(2+\beta)/(1+\beta)$, respectively) the limits are determined by
non-L\'evy self-similar stable processes. For the corresponding high dimensions
the limits are qualitatively different: ${\cal S}'(R^d)$-valued L\'evy
processes in the Lebesgue case, stable processes constant in time on
$(0,\infty)$ in the finite measure case. For high dimensions, the laws of all
limit processes are expressed in terms of Riesz potentials. If $\beta=1$, the
limits are Gaussian. Limits are also given for particle systems without
branching, which yields in particular weighted fractional Brownian motions in
low dimensions. The results are obtained in the setup of weak convergence of
S'(R^d)$-valued processes.
| math.PR | we extend results on timerescaled occupation time fluctuation limits of the dalpha betabranching particle system 0alpha leq 2 0beta leq 1 with poisson initial condition the earlier results in the homogeneous case ie with lebesgue initial intensity measure were obtained for dimensions dalpha beta only since the particle system becomes locally extinct if dle alpha beta in this paper we show that by introducing high density of the initial poisson configuration limits are obtained for all dimensions and they coincide with the previous ones if dalphabeta we also give highdensity limits for the systems with finite intensity measures without high density no limits exist in this case due to extinction the results are different and harder to obtain due to the noninvariance of the measure for the particle motion in both cases ie lebesgue and finite intensity measures for low dimensions dalpha1betabeta and dalpha2beta1beta respectively the limits are determined by nonlevy selfsimilar stable processes for the corresponding high dimensions the limits are qualitatively different cal srdvalued levy processes in the lebesgue case stable processes constant in time on 0infty in the finite measure case for high dimensions the laws of all limit processes are expressed in terms of riesz potentials if beta1 the limits are gaussian limits are also given for particle systems without branching which yields in particular weighted fractional brownian motions in low dimensions the results are obtained in the setup of weak convergence of srdvalued processes | [['we', 'extend', 'results', 'on', 'timerescaled', 'occupation', 'time', 'fluctuation', 'limits', 'of', 'the', 'dalpha', 'betabranching', 'particle', 'system', '0alpha', 'leq', '2', '0beta', 'leq', '1', 'with', 'poisson', 'initial', 'condition', 'the', 'earlier', 'results', 'in', 'the', 'homogeneous', 'case', 'ie', 'with', 'lebesgue', 'initial', 'intensity', 'measure', 'were', 'obtained', 'for', 'dimensions', 'dalpha', 'beta', 'only', 'since', 'the', 'particle', 'system', 'becomes', 'locally', 'extinct', 'if', 'dle', 'alpha', 'beta', 'in', 'this', 'paper', 'we', 'show', 'that', 'by', 'introducing', 'high', 'density', 'of', 'the', 'initial', 'poisson', 'configuration', 'limits', 'are', 'obtained', 'for', 'all', 'dimensions', 'and', 'they', 'coincide', 'with', 'the', 'previous', 'ones', 'if', 'dalphabeta', 'we', 'also', 'give', 'highdensity', 'limits', 'for', 'the', 'systems', 'with', 'finite', 'intensity', 'measures', 'without', 'high', 'density', 'no', 'limits', 'exist', 'in', 'this', 'case', 'due', 'to', 'extinction', 'the', 'results', 'are', 'different', 'and', 'harder', 'to', 'obtain', 'due', 'to', 'the', 'noninvariance', 'of', 'the', 'measure', 'for', 'the', 'particle', 'motion', 'in', 'both', 'cases', 'ie', 'lebesgue', 'and', 'finite', 'intensity', 'measures', 'for', 'low', 'dimensions', 'dalpha1betabeta', 'and', 'dalpha2beta1beta', 'respectively', 'the', 'limits', 'are', 'determined', 'by', 'nonlevy', 'selfsimilar', 'stable', 'processes', 'for', 'the', 'corresponding', 'high', 'dimensions', 'the', 'limits', 'are', 'qualitatively', 'different', 'cal', 'srdvalued', 'levy', 'processes', 'in', 'the', 'lebesgue', 'case', 'stable', 'processes', 'constant', 'in', 'time', 'on', '0infty', 'in', 'the', 'finite', 'measure', 'case', 'for', 'high', 'dimensions', 'the', 'laws', 'of', 'all', 'limit', 'processes', 'are', 'expressed', 'in', 'terms', 'of', 'riesz', 'potentials', 'if', 'beta1', 'the', 'limits', 'are', 'gaussian', 'limits', 'are', 'also', 'given', 'for', 'particle', 'systems', 'without', 'branching', 'which', 'yields', 'in', 'particular', 'weighted', 'fractional', 'brownian', 'motions', 'in', 'low', 'dimensions', 'the', 'results', 'are', 'obtained', 'in', 'the', 'setup', 'of', 'weak', 'convergence', 'of', 'srdvalued', 'processes']] | [-0.08906057729138973, 0.20262854080996975, -0.02479085533643869, 0.07981656414512625, 0.030225563566540187, -0.12976682352006053, 0.02809773678061964, 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709.0774 | Entropy of (2+1)-dimensional de Sitter black hole to all orders in the
Planck length | We calculate the statistical entropy of a scalar field on the background of
(2+1)-dimensional de Sitter space without an artificial cutoff considering
corrections to all orders in the Planck length from a generalized uncertainty
principle (GUP) on the quantum state density. The desired entropy proportional
to the horizon perimeter is obtained.
| gr-qc | we calculate the statistical entropy of a scalar field on the background of 21dimensional de sitter space without an artificial cutoff considering corrections to all orders in the planck length from a generalized uncertainty principle gup on the quantum state density the desired entropy proportional to the horizon perimeter is obtained | [['we', 'calculate', 'the', 'statistical', 'entropy', 'of', 'a', 'scalar', 'field', 'on', 'the', 'background', 'of', '21dimensional', 'de', 'sitter', 'space', 'without', 'an', 'artificial', 'cutoff', 'considering', 'corrections', 'to', 'all', 'orders', 'in', 'the', 'planck', 'length', 'from', 'a', 'generalized', 'uncertainty', 'principle', 'gup', 'on', 'the', 'quantum', 'state', 'density', 'the', 'desired', 'entropy', 'proportional', 'to', 'the', 'horizon', 'perimeter', 'is', 'obtained']] | [-0.1507822159202952, 0.17864559007627095, -0.12377689957764804, 0.13717499900581864, -0.05865326161295468, -0.0615599883501144, -0.00630376625386085, 0.23108303455599383, -0.24104836265392163, -0.2632339602591945, 0.054815305737029835, -0.3394943290371813, -0.022239689514333128, 0.17298507193724313, -0.06983286975061193, 0.09842467549092629, -0.06432380999310636, 0.12937223703107414, -0.0878385479434156, -0.23581841814916069, 0.3684695418558869, 0.14177662298065044, 0.32925902427557635, 0.0038556225378723707, 0.1468701685742274, 0.033145424639109945, -0.0003925039770775566, 0.0929933261832761, -0.2359594760243507, 0.0996596391550174, 0.1623393334813562, 0.08330776065807133, 0.20016338482645213, -0.37869348989197, -0.27226186921710477, 0.12250985679965393, 0.05765344759485885, 0.16762344930868814, 0.027337537142539434, -0.3133959582477224, -3.712818336983522e-05, -0.18834600247004452, -0.14246326652081573, -0.028679776877420498, 1.3119424693286419e-05, -0.1134319638265023, -0.20905405792462475, 0.12042902384464647, -0.008662281553352288, -0.018713687199587915, -0.10742576924317024, -0.08571466935031555, -0.03377419698746035, 0.041176763399704996, 0.08068898045823124, 0.035271213846463784, 0.168239187823572, -0.10319075232152553, -0.13908590500781715, 0.3390107796180482, -0.1341936479450441, -0.21807554459162787, 0.06803685293405079, -0.16257644753318792, -0.09829185399975554, 0.10680599670911975, 0.1353708952665329, 0.09614492017848819, -0.12243597034145803, 0.20195760428175039, 0.06271563057431623, 0.21810715912165596, 0.12368116984326466, 0.042186309747836166, 0.2570323527461904, 0.06355459613762066, 0.10258093574906096, 0.16936267143590192, -0.07966481458724421, -0.17419495048257067, -0.4179375528120527, -0.16614520781691752, -0.2347505218554836, 0.09981861705070033, -0.21051547240794583, -0.18871133659473238, 0.2982183879551788, 0.13554579465120448, 0.15720990774970428, 0.07813698378409825, 0.26800536806238634, 0.16704577443135135, 0.0634347985124252, 0.09092589397914708, 0.27726264155524616, 0.1306017540947662, 0.0843661278577558, -0.3070364688276587, -0.050740398283974794, 0.12432729681570302] |
709.0775 | More Visible Effects of the Hidden Sector | There is a growing appreciation that hidden sector dynamics may affect the
supersymmetry breaking parameters in the visible sector (supersymmetric
standard model), especially when the dynamics is strong and superconformal. We
point out that there are effects that have not been previously discussed in the
literature. For example, the gaugino masses are suppressed relative to the
gravitino mass. We discuss their implications in the context of various
mediation mechanisms. The issues discussed include anomaly mediation with
singlets, the mu (B mu) problem in gauge and gaugino mediation, and distinct
mass spectra for the superparticles that have not been previously considered.
| hep-ph hep-th | there is a growing appreciation that hidden sector dynamics may affect the supersymmetry breaking parameters in the visible sector supersymmetric standard model especially when the dynamics is strong and superconformal we point out that there are effects that have not been previously discussed in the literature for example the gaugino masses are suppressed relative to the gravitino mass we discuss their implications in the context of various mediation mechanisms the issues discussed include anomaly mediation with singlets the mu b mu problem in gauge and gaugino mediation and distinct mass spectra for the superparticles that have not been previously considered | [['there', 'is', 'a', 'growing', 'appreciation', 'that', 'hidden', 'sector', 'dynamics', 'may', 'affect', 'the', 'supersymmetry', 'breaking', 'parameters', 'in', 'the', 'visible', 'sector', 'supersymmetric', 'standard', 'model', 'especially', 'when', 'the', 'dynamics', 'is', 'strong', 'and', 'superconformal', 'we', 'point', 'out', 'that', 'there', 'are', 'effects', 'that', 'have', 'not', 'been', 'previously', 'discussed', 'in', 'the', 'literature', 'for', 'example', 'the', 'gaugino', 'masses', 'are', 'suppressed', 'relative', 'to', 'the', 'gravitino', 'mass', 'we', 'discuss', 'their', 'implications', 'in', 'the', 'context', 'of', 'various', 'mediation', 'mechanisms', 'the', 'issues', 'discussed', 'include', 'anomaly', 'mediation', 'with', 'singlets', 'the', 'mu', 'b', 'mu', 'problem', 'in', 'gauge', 'and', 'gaugino', 'mediation', 'and', 'distinct', 'mass', 'spectra', 'for', 'the', 'superparticles', 'that', 'have', 'not', 'been', 'previously', 'considered']] | [-0.12048766849562526, 0.23511837863828988, -0.012693550530239009, 0.18618260741466655, -0.10242583142826334, -0.17094395096879453, -0.006665136087685823, 0.38231636784243167, -0.19337243407033383, -0.2981225047633052, 0.11380495658377185, -0.26988066850230097, -0.12982343642041086, 0.11209910582518205, -0.03237629014998675, 0.045949746388942, -0.013317894856445491, 0.0037770648812875153, -0.024130339957773684, -0.25029560276539997, 0.3213874966558069, 0.014704079520888626, 0.2356838240288198, 0.11967147280462086, 0.021117550246417524, -0.06165423956001177, -0.02287763049826026, -0.042930890321731564, -0.10928248972079019, 0.030116390286711977, 0.21578023333102464, 0.08671375130768866, 0.1516142359049991, -0.3662980651203543, -0.2677925483137369, 0.18956516727805137, 0.1738022818812169, 0.09602285009808838, -0.11140013763681055, -0.28108423518016934, 0.10231149493716657, -0.18402421018108725, -0.10353541695192689, -0.05638090217486024, -0.006203351239673793, -0.14118285658769308, -0.2700133835989982, 0.1018223138153553, -0.026778684456003246, 0.038352469680830836, -0.026962714018300176, -0.17704320509103127, -0.10964945781626739, 0.08352291158313165, 0.24057969098794274, -0.04632801061496138, 0.16015015886165201, -0.21472033574711533, -0.15028223818168043, 0.4276952768117189, -0.05377589119132608, -0.21396246924530715, 0.21262542213778943, -0.13010356362909078, -0.23313768981490285, 0.1000015794718638, 0.13393241681624204, 0.10262874937150628, -0.1784339661274862, 0.21283545573998708, -0.059273762302473186, 0.15233764208998765, 0.04204951210878789, 0.08722035695798695, 0.29279021454043686, 0.15759841474471614, 0.02020351953804493, 0.056858091154135766, -0.015570760504342616, -0.13705638269893824, -0.36653646726161243, -0.08426398559473455, -0.06856429851613939, 0.00032435207191156224, -0.0650220524748147, -0.06742446485906839, 0.35505542694125325, 0.1895873792807106, 0.21259075872600078, 0.009790845420211554, 0.23274593376088887, 0.09718207165598869, 0.1551649224763969, 0.00989856818690896, 0.33807535296771674, 0.0904029425419867, 0.11201439459342509, -0.23697642379207537, -0.029275632915087044, 0.0424445474287495] |
709.0776 | Born reciprocity and the 1/r potential | Many structures in nature are invariant under the transformation
(p,r)->(br,-p/b), where b is some scale factor. Born's reciprocity hypothesis
affirms that this invariance extends to the entire Hamiltonian and equations of
motion. We investigate this idea for atomic physics and galactic motion, where
one is basically dealing with a 1/r potential and the observations are very
accurate, so as to determine the scale $b = m\Omega$. We find that an $\Omega
\sim 1.5\times 10^{-15}$ Hz has essentially no effect on atomic physics but
might possibly offer an explanation for galactic rotation, without invoking
dark matter.
| hep-th astro-ph physics.class-ph | many structures in nature are invariant under the transformation prbrpb where b is some scale factor borns reciprocity hypothesis affirms that this invariance extends to the entire hamiltonian and equations of motion we investigate this idea for atomic physics and galactic motion where one is basically dealing with a 1r potential and the observations are very accurate so as to determine the scale b momega we find that an omega sim 15times 1015 hz has essentially no effect on atomic physics but might possibly offer an explanation for galactic rotation without invoking dark matter | [['many', 'structures', 'in', 'nature', 'are', 'invariant', 'under', 'the', 'transformation', 'prbrpb', 'where', 'b', 'is', 'some', 'scale', 'factor', 'borns', 'reciprocity', 'hypothesis', 'affirms', 'that', 'this', 'invariance', 'extends', 'to', 'the', 'entire', 'hamiltonian', 'and', 'equations', 'of', 'motion', 'we', 'investigate', 'this', 'idea', 'for', 'atomic', 'physics', 'and', 'galactic', 'motion', 'where', 'one', 'is', 'basically', 'dealing', 'with', 'a', '1r', 'potential', 'and', 'the', 'observations', 'are', 'very', 'accurate', 'so', 'as', 'to', 'determine', 'the', 'scale', 'b', 'momega', 'we', 'find', 'that', 'an', 'omega', 'sim', '15times', '1015', 'hz', 'has', 'essentially', 'no', 'effect', 'on', 'atomic', 'physics', 'but', 'might', 'possibly', 'offer', 'an', 'explanation', 'for', 'galactic', 'rotation', 'without', 'invoking', 'dark', 'matter']] | [-0.14588265226883512, 0.16130874069909545, -0.08527897751729896, 0.09028111068752184, -0.12526638368244775, -0.124141502439455, 0.0049533847599260265, 0.3422307634065228, -0.27766388192051844, -0.3424891385932638, 0.06116746457028253, -0.23981421848418571, -0.08110574895373023, 0.18773195349676433, -0.0208092093222364, -0.005520204007024726, 0.0020185408610550147, 0.03504201537498864, -0.04264645164792416, -0.17061936669802713, 0.2773122661046043, 0.066749335811173, 0.1986717371650601, 0.03634605759451847, 0.09956332177965231, -0.040048018057820614, -0.003984962389754352, -0.024927666951571743, -0.13130120564110062, 0.055955939775993745, 0.1973063458277974, 0.10112763294870014, 0.23720133744470615, -0.39913069988570865, -0.21771528008043445, 0.10886262080341738, 0.14144106798740205, 0.09311304858044511, -0.06978446701967148, -0.2701672365368214, 0.07395537160036544, -0.14916874714676412, -0.17708022217516617, -0.09525348355252576, 0.0685946315286621, -0.0398918509693636, -0.2595284756583472, 0.11186486231525378, 0.0884968279961056, 0.05501219418659676, -0.08612325561973917, -0.09643718144125356, 0.06529330222376732, 0.02898902832079799, 0.06551622152353527, 0.07109028273212012, 0.15534809234762384, -0.13227961826769094, -0.06379692685560033, 0.47356486989445584, -0.05736968515350694, -0.1836297334602443, 0.20332313452281497, -0.1921739708732373, -0.1742999623078973, 0.10404965880837652, 0.09519054794243427, 0.06276461622247131, -0.1578281993316787, 0.13391480728876226, -0.03784982003872433, 0.19122926853797448, 0.08854797648726612, 0.04944286744175379, 0.2341696555996614, 0.12355285705698113, 0.08663515510195266, 0.023568270001961017, -0.11218414490952366, -0.09055338407395988, -0.31412515094533805, -0.10798209293865003, -0.13627246423794698, 0.14177943467693302, -0.06381521765496306, -0.113214508660378, 0.29877493459129234, 0.13635796175328313, 0.24003035699327788, 0.027354354246629662, 0.25670708213201776, 0.09686731390269493, 0.08738786902063356, 0.08260238504097346, 0.2750548533710366, 0.13233685482954305, 0.045090429196935344, -0.19506317104703635, 0.040969536439465576, 0.012660274036749396] |
709.0777 | Precise Numerical Evaluation of the Scalar One-Loop Integrals with the
Infrared Divergence | We present a new approach for obtaining very precise integration results for
infrared vertex and box diagrams, where the integration is carried out directly
without performing any analytic integration of Feynman parameters. Using an
appropriate numerical integration routine with an extrapolation method,
together with a multi-precision library, we have obtained integration results
which agree with the analytic results to 10 digits even for such a very small
photon mass as $10^{-150}$ GeV in the infrared vertex diagram.
| hep-ph | we present a new approach for obtaining very precise integration results for infrared vertex and box diagrams where the integration is carried out directly without performing any analytic integration of feynman parameters using an appropriate numerical integration routine with an extrapolation method together with a multiprecision library we have obtained integration results which agree with the analytic results to 10 digits even for such a very small photon mass as 10150 gev in the infrared vertex diagram | [['we', 'present', 'a', 'new', 'approach', 'for', 'obtaining', 'very', 'precise', 'integration', 'results', 'for', 'infrared', 'vertex', 'and', 'box', 'diagrams', 'where', 'the', 'integration', 'is', 'carried', 'out', 'directly', 'without', 'performing', 'any', 'analytic', 'integration', 'of', 'feynman', 'parameters', 'using', 'an', 'appropriate', 'numerical', 'integration', 'routine', 'with', 'an', 'extrapolation', 'method', 'together', 'with', 'a', 'multiprecision', 'library', 'we', 'have', 'obtained', 'integration', 'results', 'which', 'agree', 'with', 'the', 'analytic', 'results', 'to', '10', 'digits', 'even', 'for', 'such', 'a', 'very', 'small', 'photon', 'mass', 'as', '10150', 'gev', 'in', 'the', 'infrared', 'vertex', 'diagram']] | [-0.0704369153222674, 0.04732993916742951, -0.0985058785065428, 0.056403454225328935, -0.10323979348161971, -0.1054546732951391, 0.09597522104703277, 0.4335695002953728, -0.1472932663383325, -0.34108953320651086, 0.1250834094357447, -0.2510699022972545, -0.08546058234891721, 0.30119298637372915, 0.008086792429207594, 0.07447711329955559, 0.16054182847985973, -0.016036899155610566, -0.089985560096631, -0.21003073474767242, 0.2825540641894225, 0.051959238970628034, 0.15856380269608714, 0.04288924352701318, 0.1108679792468811, 0.03254548701542345, -0.08971032330330897, 0.024682287338443777, -0.134813758623242, 0.12337457707345292, 0.24353602727498652, 0.05258400561650852, 0.21730476077464592, -0.3819727632111277, -0.16138815074288226, 0.023089489875385512, 0.16263185977609224, 0.10101731434651928, -0.0947389891718865, -0.2455858150738981, 0.09191998547281731, -0.20888223252924426, -0.18690823577344418, -0.14961933188575816, -0.013798927005332012, 0.0015155118149281902, -0.3357537412991771, 0.0020534678289739344, -0.06728536011530208, 0.09576192732852001, -0.025745287658525753, -0.16186931818215686, 0.01788439534985545, 0.16796071489353653, -0.023862714377268182, 0.09203372595759181, 0.1008403785224375, -0.12722862409669664, -0.12712125389461781, 0.3422300997008751, -0.05905960226891103, -0.2031492596951785, 0.1565628049308555, -0.11652917695509923, -0.15927385012679673, 0.1864692455326969, 0.053789026599812814, 0.14003241343375344, -0.1672398055391084, 0.0856902557115264, 0.013193816956519694, 0.17885980467227372, 0.0821234437624936, 0.0036538360011461493, 0.16847956386189183, 0.1566979257486664, 0.0013477359021493755, 0.0991181391805362, -0.08701229879826114, -0.10788784078140924, -0.3489282421114576, -0.1390211047459539, -0.16540740115882516, 0.054284560536457735, -0.15011269556847553, -0.19239983380191608, 0.32331524984064425, 0.14093153402451183, 0.2155603619134386, 0.104304678727534, 0.34823224727403035, 0.15662419282401877, 0.13378646256184423, 0.05169997495514425, 0.20615692699158733, 0.07775890412695052, 0.10281503104374974, -0.16152755778839256, -0.07091831978616099, 0.09251137621483052] |
709.0778 | Modular co-evolution of metabolic networks | The architecture of biological networks has been reported to exhibit high
level of modularity, and to some extent, topological modules of networks
overlap with known functional modules. However, how the modular topology of the
molecular network affects the evolution of its member proteins remains unclear.
In this work, the functional and evolutionary modularity of Homo sapiens (H.
sapiens) metabolic network were investigated from a topological point of view.
Network decomposition shows that the metabolic network is organized in a highly
modular core-periphery way, in which the core modules are tightly linked
together and perform basic metabolism functions, whereas the periphery modules
only interact with few modules and accomplish relatively independent and
specialized functions. Moreover, over half of the modules exhibit
co-evolutionary feature and belong to specific evolutionary ages. Peripheral
modules tend to evolve more cohesively and faster than core modules do. The
correlation between functional, evolutionary and topological modularity
suggests that the evolutionary history and functional requirements of metabolic
systems have been imprinted in the architecture of metabolic networks. Such
systems level analysis could demonstrate how the evolution of genes may be
placed in a genome-scale network context, giving a novel perspective on
molecular evolution.
| q-bio.MN | the architecture of biological networks has been reported to exhibit high level of modularity and to some extent topological modules of networks overlap with known functional modules however how the modular topology of the molecular network affects the evolution of its member proteins remains unclear in this work the functional and evolutionary modularity of homo sapiens h sapiens metabolic network were investigated from a topological point of view network decomposition shows that the metabolic network is organized in a highly modular coreperiphery way in which the core modules are tightly linked together and perform basic metabolism functions whereas the periphery modules only interact with few modules and accomplish relatively independent and specialized functions moreover over half of the modules exhibit coevolutionary feature and belong to specific evolutionary ages peripheral modules tend to evolve more cohesively and faster than core modules do the correlation between functional evolutionary and topological modularity suggests that the evolutionary history and functional requirements of metabolic systems have been imprinted in the architecture of metabolic networks such systems level analysis could demonstrate how the evolution of genes may be placed in a genomescale network context giving a novel perspective on molecular evolution | [['the', 'architecture', 'of', 'biological', 'networks', 'has', 'been', 'reported', 'to', 'exhibit', 'high', 'level', 'of', 'modularity', 'and', 'to', 'some', 'extent', 'topological', 'modules', 'of', 'networks', 'overlap', 'with', 'known', 'functional', 'modules', 'however', 'how', 'the', 'modular', 'topology', 'of', 'the', 'molecular', 'network', 'affects', 'the', 'evolution', 'of', 'its', 'member', 'proteins', 'remains', 'unclear', 'in', 'this', 'work', 'the', 'functional', 'and', 'evolutionary', 'modularity', 'of', 'homo', 'sapiens', 'h', 'sapiens', 'metabolic', 'network', 'were', 'investigated', 'from', 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709.0779 | Low-frequency spectroscopy of superconducting photonic crystals | Transmission, reflection and absorption of electromagnetic radiation and
photon dispersion law for 2D photonic crystals with superconducting elements
are studied. The calculation of optical properties of photonic crystals is
studied by layer-by-layer Korringa-Kohn-Rostoker techniques. The results of
numerical calculations performed for an array of superconducting cylinders have
been understood in terms of a simple analytical model. The controlling of
optical properties of superconducting photonic crystal by temperature and
magnetic field is discussed. The variation of superconducting component density
with temperature leads, particularly, to significant reduction of the
transmission peaks and even to a nonmonotonous behavior of some absorbance
peaks.
| cond-mat.mes-hall | transmission reflection and absorption of electromagnetic radiation and photon dispersion law for 2d photonic crystals with superconducting elements are studied the calculation of optical properties of photonic crystals is studied by layerbylayer korringakohnrostoker techniques the results of numerical calculations performed for an array of superconducting cylinders have been understood in terms of a simple analytical model the controlling of optical properties of superconducting photonic crystal by temperature and magnetic field is discussed the variation of superconducting component density with temperature leads particularly to significant reduction of the transmission peaks and even to a nonmonotonous behavior of some absorbance peaks | [['transmission', 'reflection', 'and', 'absorption', 'of', 'electromagnetic', 'radiation', 'and', 'photon', 'dispersion', 'law', 'for', '2d', 'photonic', 'crystals', 'with', 'superconducting', 'elements', 'are', 'studied', 'the', 'calculation', 'of', 'optical', 'properties', 'of', 'photonic', 'crystals', 'is', 'studied', 'by', 'layerbylayer', 'korringakohnrostoker', 'techniques', 'the', 'results', 'of', 'numerical', 'calculations', 'performed', 'for', 'an', 'array', 'of', 'superconducting', 'cylinders', 'have', 'been', 'understood', 'in', 'terms', 'of', 'a', 'simple', 'analytical', 'model', 'the', 'controlling', 'of', 'optical', 'properties', 'of', 'superconducting', 'photonic', 'crystal', 'by', 'temperature', 'and', 'magnetic', 'field', 'is', 'discussed', 'the', 'variation', 'of', 'superconducting', 'component', 'density', 'with', 'temperature', 'leads', 'particularly', 'to', 'significant', 'reduction', 'of', 'the', 'transmission', 'peaks', 'and', 'even', 'to', 'a', 'nonmonotonous', 'behavior', 'of', 'some', 'absorbance', 'peaks']] | [-0.16867665716475158, 0.16327977715653363, -0.052068023753677015, -0.04105375270886027, -0.028607814092979286, -0.1531192221387167, 0.047693827976190456, 0.46153244605720645, -0.1944307027234122, -0.2998017246054128, 0.011663787982972207, -0.3171722416276808, -0.11056599299884354, 0.24068118806756714, 0.06130045315608232, 0.11249106005774905, -0.03604917620976615, -0.07387661989401988, -0.1068054069271029, -0.17148357240313833, 0.27958919129315574, 0.07760389297824315, 0.3355590123683214, 0.09746981756479452, 0.054670272206868785, 0.011840615106389077, 0.03137980413275084, 0.04263789613138546, -0.13858451223179621, 0.09603200443653447, 0.2650475479907008, -0.07671301305350481, 0.18611758448785604, -0.46005066472924117, -0.27161569315424944, 0.018711602465823443, 0.14470318766402532, 0.1132531067158914, -0.09822647523069096, -0.22363322849074999, 0.04733976757511346, -0.12577079512141268, -0.1835270620496812, -0.07702729140756408, -0.024032604902973303, 0.033870541667001264, -0.2029142009865756, 0.07996670397544148, 0.019731837559980574, 0.10646335733753119, -0.0707411577482943, -0.07818332633163516, -0.03919067599744809, 0.015180319651133485, -0.001962349690130037, -0.03856459851235603, 0.1781088442005443, -0.13318027749497707, -0.11840907397745835, 0.3851737069586913, -0.04036697115034166, -0.06952991664898817, 0.09798277929575756, -0.16421016670688235, -0.0372753316828172, 0.20633379577875438, 0.12756900571820542, 0.046842273265123954, -0.1383591942451518, 0.05235767600860334, -0.01422746511143303, 0.20368561531520551, 0.10182559150130008, 0.134345610691893, 0.20048162292199906, 0.19991632191596007, -0.03914764039735827, 0.15354413768944492, -0.11750588426601631, -0.00711778368485734, -0.23662525228215286, -0.16988389060663228, -0.21888759062917093, 0.03127559840754427, -0.10044140713991988, -0.23920941019825864, 0.42525600139616115, 0.06796091273803302, 0.14392119683701582, -0.03651957505504892, 0.28208419330643886, 0.18092234526770284, 0.09036318155598234, -0.007604460704676581, 0.2838294189920146, 0.2572595626727273, 0.10482051577230897, -0.3037551570521442, 0.03349452621463423, -0.026576395377027568] |
709.078 | Eigenvalues Estimates For The Dirac Operator In Terms Of Codazzi Tensors | We prove a lower bound for the first eigenvalue of the Dirac operator on a
compact Riemannian spin manifold depending on the scalar curvature as well as a
chosen Codazzi tensor. The inequality generalizes the classical estimate from
[2].
| math.DG | we prove a lower bound for the first eigenvalue of the dirac operator on a compact riemannian spin manifold depending on the scalar curvature as well as a chosen codazzi tensor the inequality generalizes the classical estimate from 2 | [['we', 'prove', 'a', 'lower', 'bound', 'for', 'the', 'first', 'eigenvalue', 'of', 'the', 'dirac', 'operator', 'on', 'a', 'compact', 'riemannian', 'spin', 'manifold', 'depending', 'on', 'the', 'scalar', 'curvature', 'as', 'well', 'as', 'a', 'chosen', 'codazzi', 'tensor', 'the', 'inequality', 'generalizes', 'the', 'classical', 'estimate', 'from', '2']] | [-0.1298635100515989, 0.10600885865875544, -0.08060043706343724, 0.11578640630707526, -0.14340174594559732, -0.16407873678522614, -0.03128372887388254, 0.25150595180308205, -0.22283801124789393, -0.27068345511379915, 0.14363852260598484, -0.2847073861421683, -0.15978565571668485, 0.19366870207998615, -0.03334636372537949, 0.044253868934435725, 0.022725988418245927, 0.1820683434892159, -0.1483028961214213, -0.16414726358384657, 0.4634242140902923, -0.02673412787799652, 0.2045883775378267, 0.12719645881308958, 0.1448474268978223, -0.00794019197854094, 0.04144456466803184, -0.025858235760377005, -0.14634399567372525, 0.11874255664551105, 0.15383897262076154, 0.05821904968112134, 0.21865345709598982, -0.3748240864429718, -0.197671640640459, 0.13618189294655353, 0.11707544065295504, 0.049580849265345395, -0.010126962648847928, -0.3364615708302993, 0.06497424185419312, -0.09065242050788723, -0.15850185507383102, -0.051355235589047275, -0.04713932343591482, -0.04642947271275215, -0.2748793092293617, 0.10496816860559659, 0.11905648700522785, 0.0024584391369269444, -0.13940748107882264, -0.20812161152179426, -0.0542393479651461, 0.05238108705872527, 0.013626135360354032, 0.048981993686025724, 0.12114708695130852, -0.04842778937652325, -0.12027840040779363, 0.32841047754463476, -0.182346468934646, -0.31074400026446736, 0.03923773783474015, -0.12447664564332137, -0.1303899085793931, 0.0084643360072126, 0.19694947733137852, 0.21383715411409354, -0.036185422768959634, 0.16784101464331913, -0.0853035343476595, 0.09128415866348988, 0.08814289232190603, 0.02679329678320732, 0.0959805618159664, 0.09983861842789711, 0.25684557938709474, 0.14789090297208765, -0.03543807999589122, -0.08286370084477732, -0.371137719696913, -0.23870493676543283, -0.32358027815532225, 0.21049527819149005, -0.2063114857659317, -0.18945848698226306, 0.4061717472206324, -0.01174578745998681, 0.2209980529628527, 0.13749310156951347, 0.2629819459831103, 0.1153720725590411, 0.03876207119379288, 0.12788413000555757, 0.24569652506556267, 0.24861767169279167, 0.06722312155537881, -0.16742111731153458, -0.04150001927971458, 0.1588802826949037] |
709.0781 | Structure of logarithmically divergent one-loop lattice Feynman
integrals | For logarithmically divergent one-loop lattice Feynman integrals I(p,a),
subject to mild general conditions, we prove the following expected and crucial
structural result: I(p,a) = f(p)log(aM)+g(p)+h(p,M) up to terms which vanish
for lattice spacing a -> 0. Here p denotes collectively the external momenta
and M is a mass scale which may be chosen arbitrarily. The f(p) and h(p,M) are
shown to be universal and coincide with analogous quantities in the
corresponding continuum integral when the latter is regularized either by
momentum cut-off or dimensional regularization. The non-universal term g(p) is
shown to be a homogeneous polynomial in p of the same degree as f(p). This
structure is essential for consistency between renormalized lattice and
continuum formulations of QCD at one loop.
| hep-lat math-ph math.MP | for logarithmically divergent oneloop lattice feynman integrals ipa subject to mild general conditions we prove the following expected and crucial structural result ipa fplogamgphpm up to terms which vanish for lattice spacing a 0 here p denotes collectively the external momenta and m is a mass scale which may be chosen arbitrarily the fp and hpm are shown to be universal and coincide with analogous quantities in the corresponding continuum integral when the latter is regularized either by momentum cutoff or dimensional regularization the nonuniversal term gp is shown to be a homogeneous polynomial in p of the same degree as fp this structure is essential for consistency between renormalized lattice and continuum formulations of qcd at one loop | [['for', 'logarithmically', 'divergent', 'oneloop', 'lattice', 'feynman', 'integrals', 'ipa', 'subject', 'to', 'mild', 'general', 'conditions', 'we', 'prove', 'the', 'following', 'expected', 'and', 'crucial', 'structural', 'result', 'ipa', 'fplogamgphpm', 'up', 'to', 'terms', 'which', 'vanish', 'for', 'lattice', 'spacing', 'a', '0', 'here', 'p', 'denotes', 'collectively', 'the', 'external', 'momenta', 'and', 'm', 'is', 'a', 'mass', 'scale', 'which', 'may', 'be', 'chosen', 'arbitrarily', 'the', 'fp', 'and', 'hpm', 'are', 'shown', 'to', 'be', 'universal', 'and', 'coincide', 'with', 'analogous', 'quantities', 'in', 'the', 'corresponding', 'continuum', 'integral', 'when', 'the', 'latter', 'is', 'regularized', 'either', 'by', 'momentum', 'cutoff', 'or', 'dimensional', 'regularization', 'the', 'nonuniversal', 'term', 'gp', 'is', 'shown', 'to', 'be', 'a', 'homogeneous', 'polynomial', 'in', 'p', 'of', 'the', 'same', 'degree', 'as', 'fp', 'this', 'structure', 'is', 'essential', 'for', 'consistency', 'between', 'renormalized', 'lattice', 'and', 'continuum', 'formulations', 'of', 'qcd', 'at', 'one', 'loop']] | [-0.1302396337545114, 0.1887227915951556, -0.10006697631788329, 0.0965237612431569, -0.06772966906073172, -0.14653137954291334, 0.010496136179919971, 0.3605250948882204, -0.2840487926061881, -0.22845653601985236, 0.08803915126067666, -0.24806069871568578, -0.11164163202599828, 0.13507196760610124, -0.030197962400823106, 0.0717589545016319, 0.036708802126853145, 0.07670388821812378, -0.06567879040307223, -0.25491881159714314, 0.3174507005882086, 0.028958595014508752, 0.21714359725099372, 0.06982785989372534, 0.07892322533574524, -0.003988500210945889, 0.002099529007386606, 0.04231703022921111, -0.13612806885818934, 0.06104221078863178, 0.23177258068916656, -0.02558492508645848, 0.23921778228654825, -0.3499203057391411, -0.1655395470364256, 0.1121543739898667, 0.16231984022404936, 0.07067720568936192, 0.06802869564656294, -0.20717129999203449, 0.1068246470353866, -0.11977888521715166, -0.1948348812372187, -0.10007850458782355, 0.027181842293337744, -0.016772848423728247, -0.3417118052287043, 0.08691304493537647, 0.04668932570138615, 0.04770496613109263, -0.032976076184472035, -0.14181894193683608, -0.04432538633582072, 0.1028202077212558, 0.07908411598685434, 0.10525823184446889, 0.08067396879432943, -0.12675956903614738, -0.08136872603692177, 0.4065061750648133, -0.06335537209889804, -0.2384870520366703, 0.15359058184450555, -0.15880070477664882, -0.12449025279463474, 0.1416276537248928, 0.11693856517894793, 0.1105670293761512, -0.14561835591894895, 0.16621198588183103, -0.006432311270007138, 0.15017988095533544, 0.10660863151947447, 0.04003255441242245, 0.1675397953200075, 0.0642520232003782, 0.08198625783207115, 0.12137163342943541, -0.012563055223327572, -0.11576433654606216, -0.3867184513769412, -0.10705420355928147, -0.18669142597354949, 0.1073969791690677, -0.1250960718226467, -0.18185931013382073, 0.3016098987397943, 0.0972164557892553, 0.2193979133932725, 0.08417876782408773, 0.2464334933093149, 0.20181395919200318, 0.11472766016021971, 0.06960029133706022, 0.20359341221687904, 0.13180787481912176, 0.034743980196762385, -0.26240882835492996, -0.011217106844030194, 0.13304150118137378] |
709.0782 | Cluster-Spin Gaussian Model for Lattice-Ising Models | In this paper we lay special stress on analyzing the topological properties
of the lattice systems and try to ovoid the conventional ways to calculate the
critical points. Only those clusters with finite sizes can execute the self
similar transformations of infinite hierarchies. Each ordered cluster has
fractal dimension, their minimum relates to the edge fixed point, which accords
with the transformations fixed point relating to a critical point. There are
two classes of systems and clusters by their connectivity. Using mathematic
mapping method we set up cluster-spin Gaussian model solved accurately. There
are single state and -fold coupling state in a reducible cluster, each of which
corresponds to a subsystem described by a Gaussian model. By the minimal
fractal dimension a final expression of the critical points is obtained. The
critical points of three lattice systems are calculated, our method makes the
calculations very simplified and highly accurate. A possibility of existence of
different clusters at the critical temperature is discussed.
| physics.gen-ph | in this paper we lay special stress on analyzing the topological properties of the lattice systems and try to ovoid the conventional ways to calculate the critical points only those clusters with finite sizes can execute the self similar transformations of infinite hierarchies each ordered cluster has fractal dimension their minimum relates to the edge fixed point which accords with the transformations fixed point relating to a critical point there are two classes of systems and clusters by their connectivity using mathematic mapping method we set up clusterspin gaussian model solved accurately there are single state and fold coupling state in a reducible cluster each of which corresponds to a subsystem described by a gaussian model by the minimal fractal dimension a final expression of the critical points is obtained the critical points of three lattice systems are calculated our method makes the calculations very simplified and highly accurate a possibility of existence of different clusters at the critical temperature is discussed | [['in', 'this', 'paper', 'we', 'lay', 'special', 'stress', 'on', 'analyzing', 'the', 'topological', 'properties', 'of', 'the', 'lattice', 'systems', 'and', 'try', 'to', 'ovoid', 'the', 'conventional', 'ways', 'to', 'calculate', 'the', 'critical', 'points', 'only', 'those', 'clusters', 'with', 'finite', 'sizes', 'can', 'execute', 'the', 'self', 'similar', 'transformations', 'of', 'infinite', 'hierarchies', 'each', 'ordered', 'cluster', 'has', 'fractal', 'dimension', 'their', 'minimum', 'relates', 'to', 'the', 'edge', 'fixed', 'point', 'which', 'accords', 'with', 'the', 'transformations', 'fixed', 'point', 'relating', 'to', 'a', 'critical', 'point', 'there', 'are', 'two', 'classes', 'of', 'systems', 'and', 'clusters', 'by', 'their', 'connectivity', 'using', 'mathematic', 'mapping', 'method', 'we', 'set', 'up', 'clusterspin', 'gaussian', 'model', 'solved', 'accurately', 'there', 'are', 'single', 'state', 'and', 'fold', 'coupling', 'state', 'in', 'a', 'reducible', 'cluster', 'each', 'of', 'which', 'corresponds', 'to', 'a', 'subsystem', 'described', 'by', 'a', 'gaussian', 'model', 'by', 'the', 'minimal', 'fractal', 'dimension', 'a', 'final', 'expression', 'of', 'the', 'critical', 'points', 'is', 'obtained', 'the', 'critical', 'points', 'of', 'three', 'lattice', 'systems', 'are', 'calculated', 'our', 'method', 'makes', 'the', 'calculations', 'very', 'simplified', 'and', 'highly', 'accurate', 'a', 'possibility', 'of', 'existence', 'of', 'different', 'clusters', 'at', 'the', 'critical', 'temperature', 'is', 'discussed']] | [-0.14907133943684722, 0.13801069020854762, -0.08492252292250346, 0.05907992726865786, -0.015871558990618734, -0.15127516399941737, 0.09668612224519867, 0.3362054343245669, -0.26999069752622834, -0.27102880482995734, 0.08129169232131023, -0.30043642251370534, -0.14255627891430572, 0.1694305786727031, -0.003845618911932066, 0.0866730128406252, 0.02665630377169629, 0.060675306712068985, -0.09934966166515297, -0.25407703495613354, 0.3623382606838616, 0.01600783300059645, 0.28416414339361445, 0.005715764166717851, 0.09379053385407658, -0.007210517394709291, 0.00014479042996901162, 0.05521933822632299, -0.13225977507749606, 0.12672071430148119, 0.22926954309432912, 0.06761482040114376, 0.22474041701473804, -0.3694096505367168, -0.19534828280162367, 0.1207838394384114, 0.13831722214297384, 0.12281427728388204, 0.004161049475205009, -0.2519929185741066, 0.1201272603133057, -0.12339242865904147, -0.18103076323363582, -0.08117930891617021, 0.014193962325243661, 0.02117154568503177, -0.21434525454197056, 0.047881423109587026, 0.02473047134749915, 0.07079443272440196, -0.06549698276364285, -0.11676800893099042, -0.04640021894896484, 0.15608075094519194, -0.015752522535159352, 0.04209352405821349, 0.125776062956693, -0.10791539096979205, -0.11018743172652372, 0.407534243475345, 0.006032093885059682, -0.19709547321595575, 0.23635479014494126, -0.12055721521227164, -0.13642825879249143, 0.13546295281317408, 0.1359330418502322, 0.08303481979029519, -0.1643572114292324, 0.08727146958017046, -0.03726786597464118, 0.14634503273894253, 0.054959027449490494, -0.02231823136272221, 0.2310362283794082, 0.15127747443429432, 0.07248205443416138, 0.17233083456153084, -0.05489846075283398, -0.12442704671646775, -0.29476461607546356, -0.1048669879235615, -0.1804813156309335, 0.024332799344259946, -0.1322424570499827, -0.18571178259339577, 0.40017582610342073, 0.13491415171392307, 0.22723180141013624, 0.03373938084215573, 0.23184279530592586, 0.15234351133566526, 0.07306788655530129, 0.07455588753012686, 0.17895747827921318, 0.11575698330333191, 0.04472274008432623, -0.18775096411168898, 0.023206178289809212, 0.09800673546182767] |
709.0783 | Godel's theorem as a corollary of impossibility of complete
axiomatization of geometry | Not any geometry can be axiomatized. The paradoxical Godel's theorem starts
from the supposition that any geometry can be axiomatized and goes to the
result, that not any geometry can be axiomatized. One considers example of two
close geometries (Riemannian geometry and $\sigma $-Riemannian one), which are
constructed by different methods and distinguish in some details. The
Riemannian geometry reminds such a geometry, which is only a part of the full
geometry. Such a possibility is covered by the Godel's theorem.
| math.GM | not any geometry can be axiomatized the paradoxical godels theorem starts from the supposition that any geometry can be axiomatized and goes to the result that not any geometry can be axiomatized one considers example of two close geometries riemannian geometry and sigma riemannian one which are constructed by different methods and distinguish in some details the riemannian geometry reminds such a geometry which is only a part of the full geometry such a possibility is covered by the godels theorem | [['not', 'any', 'geometry', 'can', 'be', 'axiomatized', 'the', 'paradoxical', 'godels', 'theorem', 'starts', 'from', 'the', 'supposition', 'that', 'any', 'geometry', 'can', 'be', 'axiomatized', 'and', 'goes', 'to', 'the', 'result', 'that', 'not', 'any', 'geometry', 'can', 'be', 'axiomatized', 'one', 'considers', 'example', 'of', 'two', 'close', 'geometries', 'riemannian', 'geometry', 'and', 'sigma', 'riemannian', 'one', 'which', 'are', 'constructed', 'by', 'different', 'methods', 'and', 'distinguish', 'in', 'some', 'details', 'the', 'riemannian', 'geometry', 'reminds', 'such', 'a', 'geometry', 'which', 'is', 'only', 'a', 'part', 'of', 'the', 'full', 'geometry', 'such', 'a', 'possibility', 'is', 'covered', 'by', 'the', 'godels', 'theorem']] | [-0.09141107369214296, 0.09838576178514848, -0.15109862467664995, 0.1468407456147956, -0.15547725629567363, -0.17643181994244064, -0.03607957264017544, 0.30580258599401994, -0.31062046210798955, -0.281441663219421, 0.1465388761508497, -0.24093168681878366, -0.15840064414581398, 0.2025405039412924, -0.17463172343272118, -0.07528847232345998, 0.03841035752154795, 0.06291018174616275, -0.0764158966054243, -0.21088985836903715, 0.36700266296112977, -0.021502797089425135, 0.2053279224610715, 0.06812938651713876, 0.08610847658753672, 0.01199305419706636, 0.007635365498976575, 0.142773605066777, -0.10644073588403523, 0.08217995171722622, 0.2904531084644942, 0.15999074498720375, 0.23152206047081653, -0.4266241826117039, -0.23142279483331943, 0.10529571193856774, 0.07876221970712513, 0.13659232505022284, 0.029614850039375418, -0.29990965587857327, 0.0751021821051836, -0.10695749075140482, -0.17872489590979654, -0.05574165765242076, -0.028242555021503826, -0.04689778134636274, -0.16923061267323333, -0.019327440162557236, 0.21673949998745948, 0.020637034424178212, -0.03069704420933569, -0.06932772253065106, -0.03675172894181293, 0.11608332431196798, -0.003535513403928942, 0.049944733246517034, 0.1567852042592418, -0.0221102163138121, -0.1393607668319924, 0.3585715889470813, -0.0221744997004323, -0.29995187979053567, 0.15339916776635765, -0.15179872488671983, -0.10319459041649545, 0.11027081574048893, 0.07648958739491156, 0.16149511398103686, -0.14349641149610648, 0.16700313828761953, -0.06612096719420803, 0.17625327969406857, 0.11158164495740223, -0.03328988721801175, 0.21862176241192185, 0.08318469337084228, 0.03899453944285159, 0.09284937480194379, 0.0012821236245886044, -0.09668691941525465, -0.3595489027599494, -0.15153599339594812, -0.20685027854770055, 0.15952406775955122, -0.130430316120813, -0.14743966351185614, 0.34128647412598867, 0.06628460491673997, 0.20709223999285403, -0.0006391732568312206, 0.27312499310039445, 0.09266796086075497, 0.08062613072494666, 0.07599606106264724, 0.24358970822118234, 0.15019707977886737, 0.061606100708660155, -0.08876549809334662, 0.06893153078164216, 0.1180757991394695] |
709.0784 | Connections between high energy QCD and statistical physics | It has been proposed that the energy evolution of QCD amplitudes in the
high-energy regime falls in the universality class of reaction-diffusion
processes. We review the arguments for this correspondence, and we explain how
it enables one to compute analytically asymptotic features of QCD amplitudes.
| hep-ph | it has been proposed that the energy evolution of qcd amplitudes in the highenergy regime falls in the universality class of reactiondiffusion processes we review the arguments for this correspondence and we explain how it enables one to compute analytically asymptotic features of qcd amplitudes | [['it', 'has', 'been', 'proposed', 'that', 'the', 'energy', 'evolution', 'of', 'qcd', 'amplitudes', 'in', 'the', 'highenergy', 'regime', 'falls', 'in', 'the', 'universality', 'class', 'of', 'reactiondiffusion', 'processes', 'we', 'review', 'the', 'arguments', 'for', 'this', 'correspondence', 'and', 'we', 'explain', 'how', 'it', 'enables', 'one', 'to', 'compute', 'analytically', 'asymptotic', 'features', 'of', 'qcd', 'amplitudes']] | [-0.09023254124654664, 0.1448493481717176, -0.1812929718988016, 0.13952885476820584, -0.057919046613905165, -0.06860341498007377, 0.0530325908627775, 0.3504551487664382, -0.21590819391939375, -0.2166522059796585, 0.04747089783971508, -0.26638106303030834, -0.17470714702374404, 0.13691131948596902, 0.015844665384954878, 0.08393943229069313, 0.0150051803017656, 0.0014089333928293652, -0.04431940883708497, -0.1979622906487849, 0.31572618894279003, 0.011005578645401531, 0.2796799738374021, 0.11711741247110896, 0.0706285442949997, -0.026271758699375723, -0.01796509971221288, -0.03534566480666399, -0.1715480760006661, 0.06838199624584781, 0.2785307225253847, 0.11081197913218703, 0.1775193764310744, -0.3975070305996471, -0.24816267595936856, 0.11938071977347135, 0.18318795408639643, 0.15128557813586668, 0.01979417773998446, -0.2083182640787628, 0.08820896943410238, -0.1933292505227857, -0.20809999698152146, -0.10711608682241705, 0.04833560855024391, -0.017928260404409632, -0.2395959458210402, 0.05178294258399142, 0.045980426337983875, -0.04347930473999845, -0.010079504770692438, -0.06444703226702081, 0.03903242430339257, 0.12207509039176835, 0.11829989386177557, -0.009671980804867215, 0.07391935527945558, -0.18353545110569233, -0.13992810828818214, 0.3765700977606078, -0.043936436716467145, -0.15246427528974082, 0.21065939433044858, -0.202838055913647, -0.21803747258252568, 0.1425562118826848, 0.16727086561214594, 0.11515118543886477, -0.17098919639570845, 0.15407462935351457, -0.026934845869739852, 0.10488209972778956, 0.06122648935351107, 0.053112867340031594, 0.20356280653634004, 0.18390593718116482, -0.06061104115926557, 0.1470392486287488, -0.06426676950520939, -0.16009214056862725, -0.34682015925645826, -0.10893518370058801, -0.15693886950612068, 0.048385370057076216, -0.07446247192274313, -0.12652524333033296, 0.4382392501562006, 0.21848826420803866, 0.1842068497919374, 0.07957093492150306, 0.2511491828184161, 0.18738830909132959, 0.04529559137299657, 0.0641088853072789, 0.2981733645415968, 0.17208201181557442, 0.1561119263784753, -0.27039774926896726, 0.028598459923846853, 0.12916885287397437] |
709.0785 | A description based on Schubert classes of cohomology of flag manifolds | We describe the integral cohomology rings of the flag manifolds of types B_n,
D_n, G_2 and F_4 in terms of their Schubert classes. The main tool is the
divided difference operators of Bernstein-Gelfand-Gelfand and Demazure. As an
application, we compute the Chow rings of the corresponding complex algebraic
groups, recovering thereby the results of R. Marlin.
| math.AT math.AG | we describe the integral cohomology rings of the flag manifolds of types b_n d_n g_2 and f_4 in terms of their schubert classes the main tool is the divided difference operators of bernsteingelfandgelfand and demazure as an application we compute the chow rings of the corresponding complex algebraic groups recovering thereby the results of r marlin | [['we', 'describe', 'the', 'integral', 'cohomology', 'rings', 'of', 'the', 'flag', 'manifolds', 'of', 'types', 'b_n', 'd_n', 'g_2', 'and', 'f_4', 'in', 'terms', 'of', 'their', 'schubert', 'classes', 'the', 'main', 'tool', 'is', 'the', 'divided', 'difference', 'operators', 'of', 'bernsteingelfandgelfand', 'and', 'demazure', 'as', 'an', 'application', 'we', 'compute', 'the', 'chow', 'rings', 'of', 'the', 'corresponding', 'complex', 'algebraic', 'groups', 'recovering', 'thereby', 'the', 'results', 'of', 'r', 'marlin']] | [-0.21725520923999803, -0.021344839303960077, -0.06614009024841445, 0.08040072745019902, -0.0634803592984099, -0.09287735801522753, -0.07191908989833402, 0.3015242843123685, -0.34419589177040116, -0.21673331251700542, 0.11642800373894195, -0.22124779185313465, -0.15031578845810145, 0.19158982078079134, -0.15896841359790415, -0.08177120857206839, 0.006802204830039825, 0.09161746685692508, -0.12284835145276572, -0.33226755858465495, 0.4371550584411515, -0.06452972428607089, 0.2252656959462911, 0.015868231188505888, 0.0760982656086396, -0.008635702717583627, -0.08126374724088237, -0.0740378584346867, -0.18148648445328167, 0.2158714100951329, 0.36749424545892645, 0.06400831948433604, 0.12489578929463667, -0.39089891479151057, -0.007265790847928396, 0.20256054480393818, 0.20562271354719996, -0.008596872112580709, 0.026121630782394538, -0.26418389384967406, 0.07943779964365863, -0.19743629832685525, -0.195595025833297, -0.08787552563340537, 0.08086285189658936, 0.10590232965270323, -0.19842559555503872, -0.0012281815039127, 0.10081730984217886, 0.1536750233998256, -0.08586200805647033, -0.17130807673882892, -0.04848918723707486, 0.17242930210860713, -0.02411595717421733, -0.04826056222996807, 0.1248485551581585, -0.0836437302433686, -0.1817431273604078, 0.39330547103392227, -0.021421167750044594, -0.20438645939741815, 0.09020537056494504, -0.16704543611766504, -0.1523399209337575, 0.11023977423402746, 0.052533401059918106, 0.1914635590427289, 0.020101612184329758, 0.1723866104460155, -0.1021901201955708, -0.02841193710420547, 0.11342703989690303, 0.019352482134958597, 0.11224426988337655, 0.08614117662156266, 0.00434655715279015, 0.14493224665472684, 0.006948466527059541, -0.0019395634215990348, -0.3722484768368304, -0.25799296940177946, -0.10071248021891474, 0.14003247578927716, -0.1979509384998112, -0.16209545124937513, 0.4611866693677647, -0.004956629725971392, 0.1346318375685119, 0.1128672850318253, 0.19997293350752443, 0.03348528492123088, 0.09924174435686187, -0.03525797492225787, 0.07133610804365682, 0.32627993927287335, -0.009412253674651896, -0.21897154678091674, -0.06869600307462471, 0.2439234478432419] |
709.0786 | Low accretion rates at the AGN cosmic downsizing epoch | Context: X-ray surveys of Active Galactic Nuclei (AGN) indicate `cosmic
downsizing', with the comoving number density of high-luminosity objects
peaking at higher redshifts (z about 2) than low-luminosity AGN (z<1). Aims: We
test whether downsizing is caused by activity shifting towards low-mass black
holes accreting at near-Eddington rates, or by a change in the average rate of
accretion onto supermassive black holes. We estimate the black hole masses and
Eddington ratios of an X-ray selected sample of AGN in the Chandra Deep Field
South at z<1, probing the epoch where AGN cosmic downsizing has been reported.
Methods: Black hole masses are estimated both from host galaxy stellar masses,
which are estimated from fitting to published optical and near-infrared
photometry, and from near-infrared luminosities, applying established
correlations between black hole mass and host galaxy properties. Both methods
give consistent results. Comparison and calibration of possible
redshift-dependent effects is also made using published faint host galaxy
velocity dispersion measurements. Results: The Eddington ratios in our sample
span the range 10^{-5} to 1, with median log(L_bol/L_Edd)=-2.87, and with
typical black hole masses about 10^{8} solar masses. The broad distribution of
Eddington ratios is consistent with that expected for AGN samples at low and
moderate luminosity. We find no evidence that the CDF-S AGN population is
dominated by low-mass black holes accreting at near-Eddington ratios and the
results suggest that diminishing accretion rates onto average-sized black holes
are responsible for the reported AGN downsizing at redshifts below unity.
| astro-ph | context xray surveys of active galactic nuclei agn indicate cosmic downsizing with the comoving number density of highluminosity objects peaking at higher redshifts z about 2 than lowluminosity agn z1 aims we test whether downsizing is caused by activity shifting towards lowmass black holes accreting at neareddington rates or by a change in the average rate of accretion onto supermassive black holes we estimate the black hole masses and eddington ratios of an xray selected sample of agn in the chandra deep field south at z1 probing the epoch where agn cosmic downsizing has been reported methods black hole masses are estimated both from host galaxy stellar masses which are estimated from fitting to published optical and nearinfrared photometry and from nearinfrared luminosities applying established correlations between black hole mass and host galaxy properties both methods give consistent results comparison and calibration of possible redshiftdependent effects is also made using published faint host galaxy velocity dispersion measurements results the eddington ratios in our sample span the range 105 to 1 with median logl_boll_edd287 and with typical black hole masses about 108 solar masses the broad distribution of eddington ratios is consistent with that expected for agn samples at low and moderate luminosity we find no evidence that the cdfs agn population is dominated by lowmass black holes accreting at neareddington ratios and the results suggest that diminishing accretion rates onto averagesized black holes are responsible for the reported agn downsizing at redshifts below unity | [['context', 'xray', 'surveys', 'of', 'active', 'galactic', 'nuclei', 'agn', 'indicate', 'cosmic', 'downsizing', 'with', 'the', 'comoving', 'number', 'density', 'of', 'highluminosity', 'objects', 'peaking', 'at', 'higher', 'redshifts', 'z', 'about', '2', 'than', 'lowluminosity', 'agn', 'z1', 'aims', 'we', 'test', 'whether', 'downsizing', 'is', 'caused', 'by', 'activity', 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0.1729421927679882, 0.0737402762387929, -0.247545407858865, 0.049471196295011316, 0.04913850480771083] |
709.0787 | Sound Generation by a Turbulent Flow in Musical Instruments -
Multiphysics Simulation Approach - | Total computational costs of scientific simulations are analyzed between
direct numerical simulations (DNS) and multiphysics simulations (MPS) for sound
generation in musical instruments. In order to produce acoustic sound by a
turbulent flow in a simple recorder-like instrument, compressible fluid dynamic
calculations with a low Mach number are required around the edges and the
resonator of the instrument in DNS, while incompressible fluid dynamic
calculations coupled with dynamics of sound propagation based on the
Lighthill's acoustic analogy are used in MPS. These strategies are evaluated
not only from the viewpoint of computational performances but also from the
theoretical points of view as tools for scientific simulations of complicated
systems.
| physics.comp-ph cs.CE physics.flu-dyn | total computational costs of scientific simulations are analyzed between direct numerical simulations dns and multiphysics simulations mps for sound generation in musical instruments in order to produce acoustic sound by a turbulent flow in a simple recorderlike instrument compressible fluid dynamic calculations with a low mach number are required around the edges and the resonator of the instrument in dns while incompressible fluid dynamic calculations coupled with dynamics of sound propagation based on the lighthills acoustic analogy are used in mps these strategies are evaluated not only from the viewpoint of computational performances but also from the theoretical points of view as tools for scientific simulations of complicated systems | [['total', 'computational', 'costs', 'of', 'scientific', 'simulations', 'are', 'analyzed', 'between', 'direct', 'numerical', 'simulations', 'dns', 'and', 'multiphysics', 'simulations', 'mps', 'for', 'sound', 'generation', 'in', 'musical', 'instruments', 'in', 'order', 'to', 'produce', 'acoustic', 'sound', 'by', 'a', 'turbulent', 'flow', 'in', 'a', 'simple', 'recorderlike', 'instrument', 'compressible', 'fluid', 'dynamic', 'calculations', 'with', 'a', 'low', 'mach', 'number', 'are', 'required', 'around', 'the', 'edges', 'and', 'the', 'resonator', 'of', 'the', 'instrument', 'in', 'dns', 'while', 'incompressible', 'fluid', 'dynamic', 'calculations', 'coupled', 'with', 'dynamics', 'of', 'sound', 'propagation', 'based', 'on', 'the', 'lighthills', 'acoustic', 'analogy', 'are', 'used', 'in', 'mps', 'these', 'strategies', 'are', 'evaluated', 'not', 'only', 'from', 'the', 'viewpoint', 'of', 'computational', 'performances', 'but', 'also', 'from', 'the', 'theoretical', 'points', 'of', 'view', 'as', 'tools', 'for', 'scientific', 'simulations', 'of', 'complicated', 'systems']] | [-0.13621950615844172, 0.14056741922265953, -0.07845136761251423, 0.025334067780662467, -0.08924131318969929, -0.08434887715460111, 0.005583482104595061, 0.35846917925368027, -0.24560235006113848, -0.3639878484558452, 0.09281064682269331, -0.28337982960942165, -0.11394603267156829, 0.2643790447209203, 0.0019846748144590055, 0.1314780835657277, 0.12101562059036007, -0.020179952796617592, -0.030675681025496924, -0.1656826743554255, 0.24601777172776768, 0.09876173336265816, 0.29159378206909253, -0.009407378396847181, 0.0895989479376348, -0.08854707219655177, -0.08146350140385847, 0.09022670622302771, -0.15492645515499776, 0.09048493285404725, 0.3134811142485382, 0.08379941921318984, 0.2715886234762837, -0.5131860910052503, -0.24643217560973157, -0.024102127809008514, 0.12211214606995108, 0.10816877176424626, -0.04462408454209152, -0.26483240552867454, 0.08312341549295794, -0.17603539162384416, -0.08710062744837531, -0.09761590604170191, -0.033829968232937435, 0.07569991341841631, -0.20263592362904023, 0.09472199352388054, -0.028483266114360757, 0.1102333418900714, -0.05147119535400567, -0.07679741182450757, -0.039337186170828146, 0.11494366276612575, 0.03375796415774083, -0.044245424714905245, 0.10415118811080767, -0.18083617856070675, -0.10794885582894224, 0.4428022887678472, -0.0405946249989534, -0.24369275585437813, 0.25172200180046883, -0.11292416254070338, -0.05158627494583251, 0.17116733926727815, 0.21719539654522022, 0.07781099127519324, -0.09631793482953475, 0.020818262077766662, -0.01919507098392825, 0.1842659645243893, 0.055967776777429715, -0.02311310473467327, 0.21010292964746002, 0.20710515987162512, -0.005471583050503223, 0.09690464699114845, -0.08258104431917201, -0.1182227887523671, -0.2834168020290909, -0.12237064843066037, -0.20378654085841305, -0.005958803767565836, -0.10534311303948656, -0.16942483807819103, 0.35900580585520303, 0.18742834631767538, 0.08247183844138851, 0.05438873279813884, 0.3871658192947507, 0.060032688231095324, 0.00016511611950894198, 0.11281365754634694, 0.2678296419067515, 0.14619907613679836, 0.15074727496916981, -0.22759775940277097, 0.029671778074569173, 0.05122646034902169] |
709.0788 | Laplacian comparison for Alexandrov spaces | We consider an infinitesimal version of the Bishop-Gromov relative volume
comparison condition as generalized notion of Ricci curvature bounded below for
Alexandrov spaces. We prove a Laplacian comparison theorem for Alexandrov
spaces under the condition. As an application we prove a topological splitting
theorem.
| math.DG math.MG | we consider an infinitesimal version of the bishopgromov relative volume comparison condition as generalized notion of ricci curvature bounded below for alexandrov spaces we prove a laplacian comparison theorem for alexandrov spaces under the condition as an application we prove a topological splitting theorem | [['we', 'consider', 'an', 'infinitesimal', 'version', 'of', 'the', 'bishopgromov', 'relative', 'volume', 'comparison', 'condition', 'as', 'generalized', 'notion', 'of', 'ricci', 'curvature', 'bounded', 'below', 'for', 'alexandrov', 'spaces', 'we', 'prove', 'a', 'laplacian', 'comparison', 'theorem', 'for', 'alexandrov', 'spaces', 'under', 'the', 'condition', 'as', 'an', 'application', 'we', 'prove', 'a', 'topological', 'splitting', 'theorem']] | [-0.18268399401991206, 0.0829375468846675, -0.09503969742747193, 0.20835142174143007, -0.09407417340712114, -0.1096227274763144, -0.024468485392968763, 0.3212644471575252, -0.2905146289955486, -0.18723665770481934, 0.16291743649212134, -0.25804024699821393, -0.1250948102890768, 0.18911542315882715, -0.22565976447764446, 0.010181007652797482, 0.06329967329193922, 0.0816955046664754, -0.12341170745309103, -0.1957018856377214, 0.4576114395802671, -0.08117763939662836, 0.26829837389628997, 0.21110242581264835, 0.15084535465575755, 0.01844041146052239, 0.03772123935844072, 0.04699689369987358, -0.29829164437780326, 0.11005239658565684, 0.1817623716355725, 0.02732743817085231, 0.3063920684666796, -0.3219122585671192, -0.19326291649750518, 0.21333640005270188, 0.06612336510707709, 0.017411228227005762, -0.029864391491917722, -0.3545075072483583, 0.14182467806279997, -0.1284504123032093, -0.23239400455680548, -0.08683564594354141, -0.04726392278363081, -0.047138329087333244, -0.24540888662026686, 0.08486310988717544, 0.20113915276521188, 0.1263720428317108, -0.18082749293270436, -0.059238197916949335, -0.03981857732552188, -0.01793092047922652, 0.0002083504355554892, 0.02260353782383556, 0.08457377219614996, 0.006293047473511912, -0.1327231159415202, 0.30969144082204864, -0.15263113324445757, -0.2914410834624009, 0.019036567346616226, -0.01596893450583924, -0.14727066000076858, 0.008024588248438456, 0.12203333416784351, 0.19350483034015104, -0.015903012409001927, 0.1739831357474693, -0.09914530085569079, 0.07138670712116767, 0.18907367715358056, 0.046253815684890884, 0.027200601640453733, 0.10062267307446084, 0.28732115940444847, 0.23271593430201226, 0.014771381467157467, -0.08749180818135342, -0.4171330046586015, -0.2579402159899473, -0.20346614813156935, 0.174737633142451, -0.2002196453554048, -0.23518809718503195, 0.26867091037671675, -0.009155308129265904, 0.14485269560563294, 0.23763454296964814, 0.23192619320682503, 0.08536228685195303, -0.04403508484194225, 0.08878716610541398, 0.17497491341253574, 0.3082795395431193, 0.12030672950839455, -0.04101819633929567, -0.04510616398924454, 0.303417162790786] |
709.0789 | Structural peculiarities of plastically-deformed cementite and their
influence on magnetic characteristics and Mossbauer parameters | Cementite Fe3C is studied with first-principles calculations. Two possible
positions of carbon atoms in the iron sublattice are considered: with prismatic
or octahedral environment. Mossbauer spectra (MS) with parameters calculated
for both modifications are simulated above and below the Curie temperature. A
possibility to detect the change in carbon position upon annealing from MS is
discussed. It is shown that this is hardly possible using a standard approach
to treatment of MS, but it can be seen in more subtle details of the MS below
the Curie temperature, such as widths and positions of separate lines.
| cond-mat.mtrl-sci | cementite fe3c is studied with firstprinciples calculations two possible positions of carbon atoms in the iron sublattice are considered with prismatic or octahedral environment mossbauer spectra ms with parameters calculated for both modifications are simulated above and below the curie temperature a possibility to detect the change in carbon position upon annealing from ms is discussed it is shown that this is hardly possible using a standard approach to treatment of ms but it can be seen in more subtle details of the ms below the curie temperature such as widths and positions of separate lines | [['cementite', 'fe3c', 'is', 'studied', 'with', 'firstprinciples', 'calculations', 'two', 'possible', 'positions', 'of', 'carbon', 'atoms', 'in', 'the', 'iron', 'sublattice', 'are', 'considered', 'with', 'prismatic', 'or', 'octahedral', 'environment', 'mossbauer', 'spectra', 'ms', 'with', 'parameters', 'calculated', 'for', 'both', 'modifications', 'are', 'simulated', 'above', 'and', 'below', 'the', 'curie', 'temperature', 'a', 'possibility', 'to', 'detect', 'the', 'change', 'in', 'carbon', 'position', 'upon', 'annealing', 'from', 'ms', 'is', 'discussed', 'it', 'is', 'shown', 'that', 'this', 'is', 'hardly', 'possible', 'using', 'a', 'standard', 'approach', 'to', 'treatment', 'of', 'ms', 'but', 'it', 'can', 'be', 'seen', 'in', 'more', 'subtle', 'details', 'of', 'the', 'ms', 'below', 'the', 'curie', 'temperature', 'such', 'as', 'widths', 'and', 'positions', 'of', 'separate', 'lines']] | [-0.05647233819066363, 0.2001780419620142, -0.017586432407066848, 0.021975735297019128, -0.011747206929915896, -0.13801112847856226, 0.09322177723515779, 0.5044669668811063, -0.24918170876723403, -0.341827630220602, 0.03817727076360219, -0.3009285797112777, -0.049784552492686394, 0.1863324977797068, 0.01280216571467463, -0.031472586605862794, 0.021195054190078128, 0.03348380117677152, -0.12250080619196524, -0.22968678966086978, 0.23150915771354144, 0.07312757489368475, 0.2718729197416299, 0.07696679292227297, 0.015152329438327191, -0.04397666094943512, 0.0697267569679146, 0.055807602184358984, -0.10884155067992651, 0.026013069446586694, 0.25069964586631005, 0.01585657838829017, 0.1619056769219848, -0.38377245179920766, -0.207973076714552, 0.014187669420304397, 0.10847721292520873, 0.13808757513955547, -0.04173401739126348, -0.25639419258368434, 0.09822269676290792, -0.08857135653185348, -0.16592793508122364, -0.07095873479071695, -0.003811874291083465, 0.01453107897845977, -0.19190781943689217, 0.10213144653243944, 0.04146133918159952, 0.09844589110366542, -0.09992325489292853, -0.1975383463674613, -0.09850239600928035, 0.06825323105780019, 0.05823187768692151, 0.02447034517778472, 0.20939738183127096, -0.024512475218216423, -0.07231952822379147, 0.4400254147670542, -0.05430263702874072, -0.06957595651814093, 0.1831330924081461, -0.14598676474997774, -0.10473399331385735, 0.17963077235617675, 0.07447976896946784, 0.125852491488331, -0.17088704737640606, 0.023188899066250695, 0.027477330451498954, 0.22081186636690595, 0.09643916922505014, -5.212816904531792e-05, 0.2154933792189695, 0.18095327916186457, -0.0036612092565822727, 0.10496893693137584, -0.14574240040383302, -0.08181360929423438, -0.22409312170687676, -0.12097176922058377, -0.157687580162019, 0.02699475418436729, -0.04652125683757428, -0.1515133913844693, 0.33735140797216445, 0.15486841471283697, 0.20803535403683782, -0.045306097163120285, 0.2792807074729353, 0.08200540295729297, 0.10336577124932471, 0.026419796767489363, 0.248119762603892, 0.1725857028407821, 0.09896998677383333, -0.2503923283899591, 0.10383792434004135, -0.018670836643044215] |
709.079 | MarlinTPC: A Marlin based common TPC software framework for the LC-TPC
collaboration | We describe the goals and present functionality of MarlinTPC, a common
software framework for the LC-TPC collaboration based on LCIO, Marlin and other
ilcsoft tools.
| physics.ins-det | we describe the goals and present functionality of marlintpc a common software framework for the lctpc collaboration based on lcio marlin and other ilcsoft tools | [['we', 'describe', 'the', 'goals', 'and', 'present', 'functionality', 'of', 'marlintpc', 'a', 'common', 'software', 'framework', 'for', 'the', 'lctpc', 'collaboration', 'based', 'on', 'lcio', 'marlin', 'and', 'other', 'ilcsoft', 'tools']] | [-0.06107472933151505, -0.01749963090035387, -0.10740444876930931, 0.03975577157160098, -0.10317870356481183, -0.12322883627546782, 0.01656008078597634, 0.3734862519936128, -0.16674694469706577, -0.32381053624505346, 0.11865501120601865, -0.24585976047356697, -0.17211995294994928, 0.24567422645420514, -0.0339172668331726, 0.0992929083718495, 0.08995013430037281, 0.009762980890544977, -0.007169980492273515, -0.17259609220888128, 0.3583125586367466, 0.06978241155262697, 0.3247214971025559, 0.09435961272736842, 0.08700181425295093, 0.05217728192325343, -0.12328373266130009, -0.021448374683545393, -0.1672443343665112, 0.21884716014293107, 0.2810601526024667, 0.28751154318028554, 0.26713163405656815, -0.43241017176346347, -0.11739640776067972, -0.006964350119233131, 0.042697008402848784, 0.03413046100600199, -0.08582931023027579, -0.29368098185990343, 0.0928616755303334, -0.22891435933045365, -0.1425262515602464, -0.09316158055497165, -0.06720720510929823, 0.0633022038435394, -0.21511358149688353, -0.08412117798897353, 0.019036688016388904, 0.0991992673159323, 0.010698063785887578, -0.1614501073279164, 0.06127624979920008, 0.16900652744383973, -0.04709792619740421, 0.022638271562755108, 0.11734612186608667, -0.08941425875210288, -0.20790149169889363, 0.37838842652060767, -0.04571703461591493, -0.1403012109433555, 0.22712315373725936, -0.040418611077422444, -0.24374320984564044, -0.02013803713700988, 0.24160148592835123, 0.08734875451773405, -0.2334274911237034, 0.09130186957455325, 0.0774871149439026, 0.17633663524280896, -0.0636386060346426, 0.014758556615561247, 0.19150637826797637, 0.25097140026363457, 0.007289725990796631, 0.09867835043008778, -0.03291220017920502, -0.052120458080687306, -0.2880971677262675, -0.1728908772241663, -0.08792394235074012, -0.09780590811913664, 0.01886518657424445, -0.11404091377996585, 0.4593601348725232, 0.16835408640856092, 0.09082326481372795, 0.04656427374786951, 0.3471814476546239, -0.043936135205016894, 0.08602951534769752, 0.09261739773633466, 0.20962273786691102, 0.038314929517748, 0.1269345279910009, -0.16284525860100985, 0.05720688099972904, 0.049085456539284096] |
709.0791 | Magneto-optical behaviour of EuIn_2P_2 | We report results of a magneto-optical investigation of the Zintl-phase
compound EuIn$_2$P$_2$. The compound orders magnetically at $T_C$=24 K and
exhibits concomitant large magnetoresistance effects. For $T\le$50 K and
increasing magnetic fields we observe a transfer of spectral weight in
$\sigma_1(\omega)$ from energies above 1 eV into the low-energy metallic
component as well as into a mid-infrared signal centered at about 600
cm$^{-1}$. This latter absorption is reminiscent to what has been seen in a
large variety of so-called Kondo materials and ascribed to excitations across
the hybridization gap. The observed gain of Drude weight upon increasing
magnetic field suggests an enhancement of the itinerant charge-carrier
concentration due to the increasing magnetization, a phenomenon that was
previously observed in other compounds which exhibit colossal magnetoresistive
effects.
| cond-mat.str-el cond-mat.mtrl-sci | we report results of a magnetooptical investigation of the zintlphase compound euin_2p_2 the compound orders magnetically at t_c24 k and exhibits concomitant large magnetoresistance effects for tle50 k and increasing magnetic fields we observe a transfer of spectral weight in sigma_1omega from energies above 1 ev into the lowenergy metallic component as well as into a midinfrared signal centered at about 600 cm1 this latter absorption is reminiscent to what has been seen in a large variety of socalled kondo materials and ascribed to excitations across the hybridization gap the observed gain of drude weight upon increasing magnetic field suggests an enhancement of the itinerant chargecarrier concentration due to the increasing magnetization a phenomenon that was previously observed in other compounds which exhibit colossal magnetoresistive effects | [['we', 'report', 'results', 'of', 'a', 'magnetooptical', 'investigation', 'of', 'the', 'zintlphase', 'compound', 'euin_2p_2', 'the', 'compound', 'orders', 'magnetically', 'at', 't_c24', 'k', 'and', 'exhibits', 'concomitant', 'large', 'magnetoresistance', 'effects', 'for', 'tle50', 'k', 'and', 'increasing', 'magnetic', 'fields', 'we', 'observe', 'a', 'transfer', 'of', 'spectral', 'weight', 'in', 'sigma_1omega', 'from', 'energies', 'above', '1', 'ev', 'into', 'the', 'lowenergy', 'metallic', 'component', 'as', 'well', 'as', 'into', 'a', 'midinfrared', 'signal', 'centered', 'at', 'about', '600', 'cm1', 'this', 'latter', 'absorption', 'is', 'reminiscent', 'to', 'what', 'has', 'been', 'seen', 'in', 'a', 'large', 'variety', 'of', 'socalled', 'kondo', 'materials', 'and', 'ascribed', 'to', 'excitations', 'across', 'the', 'hybridization', 'gap', 'the', 'observed', 'gain', 'of', 'drude', 'weight', 'upon', 'increasing', 'magnetic', 'field', 'suggests', 'an', 'enhancement', 'of', 'the', 'itinerant', 'chargecarrier', 'concentration', 'due', 'to', 'the', 'increasing', 'magnetization', 'a', 'phenomenon', 'that', 'was', 'previously', 'observed', 'in', 'other', 'compounds', 'which', 'exhibit', 'colossal', 'magnetoresistive', 'effects']] | [-0.14280568500866228, 0.2141884809502326, -0.03514380687389706, 0.02272296706061871, -0.04996161545115355, -0.12434030932252157, 0.08442128709036491, 0.39007289168142456, -0.26618504974242974, -0.3216367915089502, -0.015523208853918448, -0.33414225329141145, -0.11096211593430184, 0.17979615542381147, 0.03615685624879648, -0.04127606926751886, -0.055879453471938116, -0.0019579007000219625, -0.0704231301005777, -0.15275290975973133, 0.26870264736630145, 0.07180408311585064, 0.30959030231613605, 0.12995273109952934, 0.04818014171142437, -0.02614405979192434, 0.12276750884293655, 0.036065565687451576, -0.11671947300288354, 0.03993724679696511, 0.29672509318858875, -0.09180952276324579, 0.23916570457904676, -0.3558757445797874, -0.24908214820487823, 0.020623292949539226, 0.16692664210883076, 0.1140364466385809, -0.07257174721109819, -0.23473891350593357, 0.06667299211868773, -0.13126316076129307, -0.11812131413731908, -0.07058273504686649, -0.0041012091773989625, -0.02432010389223206, -0.26024785605411915, 0.11495316621549732, 0.09787194753546634, 0.15679369809594554, -0.12510640444768378, -0.21519372086651378, -0.03163329376190229, 0.015341265726315438, 0.10138204193590056, 0.050958220152275975, 0.1494321789321505, -0.11770116853371232, -0.11126255506428233, 0.3430513255908841, -0.08329556352787147, 0.03746325925689622, 0.17053066461049327, -0.23704016571253783, -0.06286601181386313, 0.2569465562853901, 0.13501097620169053, 0.0727336787023261, -0.10828995060358869, 0.05703602420771113, -0.008082155176423123, 0.20180566630662097, 0.04727510865739562, 0.12309544518414396, 0.2543226759270078, 0.18760781510748337, 0.023919949781332838, 0.18256500323511066, -0.14255984232390728, -0.017869137964196136, -0.17079239189586617, -0.154279081349368, -0.21691134872227968, 0.10002140923532978, -0.05825498110395723, -0.1922124171263126, 0.4021529817617819, 0.14229143030758276, 0.24975985948179588, -0.07257475062072101, 0.20517304219442922, 0.12829588869105657, 0.1529389085309183, 0.020731649082917414, 0.249633566903897, 0.18172885708083383, 0.1587737425245711, -0.27417504576179885, 0.07600453944893966, -0.04775505747691896] |
709.0792 | Brownian dynamics of a microswimmer | We report on dynamic properties of a simple model microswimmer composed of
three spheres and propelling itself in a viscous fluid by spinning motion of
the spheres under zero net torque constraint. At a fixed temperature and
increasing the spinning frequency, the swimmer demonstrates a transition from
dissipation-dominated to a pumping-dominated motion regime characterized by
negative effective friction coefficient. In the limit of high frequencies, the
diffusion of the swimmer can be described by a model of an active particle with
constant velocity.
| physics.flu-dyn physics.bio-ph | we report on dynamic properties of a simple model microswimmer composed of three spheres and propelling itself in a viscous fluid by spinning motion of the spheres under zero net torque constraint at a fixed temperature and increasing the spinning frequency the swimmer demonstrates a transition from dissipationdominated to a pumpingdominated motion regime characterized by negative effective friction coefficient in the limit of high frequencies the diffusion of the swimmer can be described by a model of an active particle with constant velocity | [['we', 'report', 'on', 'dynamic', 'properties', 'of', 'a', 'simple', 'model', 'microswimmer', 'composed', 'of', 'three', 'spheres', 'and', 'propelling', 'itself', 'in', 'a', 'viscous', 'fluid', 'by', 'spinning', 'motion', 'of', 'the', 'spheres', 'under', 'zero', 'net', 'torque', 'constraint', 'at', 'a', 'fixed', 'temperature', 'and', 'increasing', 'the', 'spinning', 'frequency', 'the', 'swimmer', 'demonstrates', 'a', 'transition', 'from', 'dissipationdominated', 'to', 'a', 'pumpingdominated', 'motion', 'regime', 'characterized', 'by', 'negative', 'effective', 'friction', 'coefficient', 'in', 'the', 'limit', 'of', 'high', 'frequencies', 'the', 'diffusion', 'of', 'the', 'swimmer', 'can', 'be', 'described', 'by', 'a', 'model', 'of', 'an', 'active', 'particle', 'with', 'constant', 'velocity']] | [-0.17859432135890352, 0.2286748460271444, -0.08713699430624795, -0.06084383219741739, -0.0445168135239084, -0.14224543457669092, 0.029486567358395492, 0.32782172323091, -0.26627916066975493, -0.30520270187862036, 0.035022097682330486, -0.24558351220699345, -0.12288647233622103, 0.1753631410453037, -0.028383104908620803, 0.033937214223508975, 0.00038684101593567104, 0.040646719283469745, 0.005956830925353598, -0.12105593947330262, 0.2548907611110225, 0.06283807859006452, 0.24572003516936447, 0.027244467773082915, 0.20511647259316793, -0.010488356957666395, 0.0458116607808667, 0.12430181515562098, -0.16447165773268618, 0.060671003240092496, 0.13168883724592445, -0.05591469005363562, 0.21485993154801247, -0.40675010459452143, -0.2328429670384006, 0.019274428143256868, 0.1410652668947899, 0.10525972132639187, -0.042702528342843146, -0.23526518983857297, 0.008735881770518041, -0.2150295778779631, -0.18419468471575984, -0.032923909347140935, 0.0867718836667425, 0.047423394589980204, -0.24794288333959696, 0.14157580787411084, 0.11591436026799606, 0.08488669222584222, -0.10881340837037963, -0.05743282020273732, -0.013626738343524134, 0.08381631207175372, 0.08557927634328513, -0.00031272155550740116, 0.23656671751494995, -0.18825967322535267, -0.07860955204701096, 0.4062947819759024, -0.1429974670328836, -0.25812580858970563, 0.2072568785671781, -0.17168775041411607, -0.028147671008255423, 0.18525395616775425, 0.19838122880404316, 0.14252223224782318, -0.13803344570162773, 0.048004013814245745, -0.009131897842829547, 0.1671711266177093, 0.07303714152516388, -0.09617584715199816, 0.2966767542927367, 0.2089068898562024, 0.049036581199843346, 0.18653896544554566, -0.09621015124937957, -0.0812296121943424, -0.26151653863035323, -0.11363691389106395, -0.2120501956527644, 0.059595391994751085, -0.14467701333803523, -0.1468907535152805, 0.3377024489398137, 0.06417546971564794, 0.23659138518908038, 0.07175144933663853, 0.2966961831467726, 0.10745650755877538, 0.03710905260054349, 0.08175219427339914, 0.29904582495687576, 0.12706640762242874, 0.1253804987716693, -0.2721597155777556, 0.013059241464361548, 0.07366772198186415] |
709.0793 | The formation and ordering of local magnetic moments in Fe-Al alloys | With density functional theory, studied are the local magnetic moments in
Fe-Al alloys depending on concentration and Fe nearest environment. At zero
temperature, the system can be in different states: ferromagnetic,
antiferromagnetic and spin-spiral waves (SSW) which has a minimum energy. Both
SSW and negative moment of Fe atoms with many Al atoms around them agree with
experiments. Magnetization curves taken from literature are analysed.
Assumption on percolation character of size distribution of magnetic clusters
describes well the experimental superparamagnetic behaviour above 150 K.
| cond-mat.mtrl-sci | with density functional theory studied are the local magnetic moments in feal alloys depending on concentration and fe nearest environment at zero temperature the system can be in different states ferromagnetic antiferromagnetic and spinspiral waves ssw which has a minimum energy both ssw and negative moment of fe atoms with many al atoms around them agree with experiments magnetization curves taken from literature are analysed assumption on percolation character of size distribution of magnetic clusters describes well the experimental superparamagnetic behaviour above 150 k | [['with', 'density', 'functional', 'theory', 'studied', 'are', 'the', 'local', 'magnetic', 'moments', 'in', 'feal', 'alloys', 'depending', 'on', 'concentration', 'and', 'fe', 'nearest', 'environment', 'at', 'zero', 'temperature', 'the', 'system', 'can', 'be', 'in', 'different', 'states', 'ferromagnetic', 'antiferromagnetic', 'and', 'spinspiral', 'waves', 'ssw', 'which', 'has', 'a', 'minimum', 'energy', 'both', 'ssw', 'and', 'negative', 'moment', 'of', 'fe', 'atoms', 'with', 'many', 'al', 'atoms', 'around', 'them', 'agree', 'with', 'experiments', 'magnetization', 'curves', 'taken', 'from', 'literature', 'are', 'analysed', 'assumption', 'on', 'percolation', 'character', 'of', 'size', 'distribution', 'of', 'magnetic', 'clusters', 'describes', 'well', 'the', 'experimental', 'superparamagnetic', 'behaviour', 'above', '150', 'k']] | [-0.13013519755276365, 0.21554613091228975, 0.0014383465362091858, 0.046303693819070416, -0.016295584226359745, -0.12051921690969418, 0.05886979093650423, 0.43247407163393553, -0.23011043657814817, -0.35342031473382596, 0.009928836828164225, -0.3734531847183548, -0.03192756396518754, 0.14207362560998826, 0.0901685679785996, 0.0017279492236585135, -0.014445880680189779, 0.030520295566280504, -0.07944601004072908, -0.2484811013342724, 0.24097882506127158, 0.027320645938050888, 0.29503567556717564, 0.047749246653568535, 0.016056990616821816, -0.0046819761240233975, 0.12662820260240032, 0.08080224170347113, -0.14217925009801374, 0.024709361843720433, 0.21845653369313195, -0.0359215595027698, 0.16393691913357802, -0.45859977330214213, -0.2146991600956036, 0.009171427105597797, 0.09540838852990419, 0.11997047506710737, -0.037470221247834466, -0.30199218516160425, 0.07400304227346732, -0.08590540771616534, -0.13720951897959735, -0.07304454327233889, 0.02525273570790887, 0.10811897051254553, -0.25152488937601447, 0.12511630864381523, 0.05880567705996024, 0.16297071214233125, -0.1473446051046873, -0.21585328044741237, -0.07790445429106642, 0.04302994201480899, 0.05674145667858067, 0.035508222478841035, 0.18931608456408694, -0.03970531722699802, -0.07528049051983371, 0.3114314828444982, -0.06912053484813355, -0.03892248135525733, 0.19589413854243634, -0.21335694107360073, -0.1035991139610165, 0.17349981115521154, 0.12516852065787784, 0.08749677051812232, -0.1303661420187425, 0.11082027154389791, -0.007647107201462079, 0.20126950352763137, 0.06968148456542708, 0.02290238860517829, 0.25733444522622795, 0.12904716143384576, 0.021696938641114338, 0.1122787002241239, -0.14056401454235173, -0.10419627444588557, -0.20867074945098943, -0.12703691169597386, -0.2551984749069171, 0.02515603686195044, -0.1119273938898654, -0.18078595375464784, 0.3422843137800339, 0.12400905788429857, 0.2064418453013613, -0.049839425730862696, 0.20422096898601877, 0.0886044067308484, 0.024945317030263443, 0.07876622083962762, 0.21377659728750587, 0.22494656983984723, 0.1305560029106259, -0.2554621536900023, 0.12447949939606977, 0.018846961977292916] |
709.0794 | The thermal width of heavy quarkonia moving in quark gluon plasma | The velocity dependence of the thermal width of heavy quarkonia traveling
with respect to the quark gluon plasma is calculated up to the NLO in
perturbative QCD. At the LO, the width decreases with increasing speed, whereas
at the NLO it increases with a magnitude approximately proportional to the
expectation value of the relative velocity between the quarkonium and a parton
in thermal equilibrium. Such an asymptotic behavior is due to the NLO
dissociation cross section converging to a nonvanishing value in the high
energy limit.
| hep-ph | the velocity dependence of the thermal width of heavy quarkonia traveling with respect to the quark gluon plasma is calculated up to the nlo in perturbative qcd at the lo the width decreases with increasing speed whereas at the nlo it increases with a magnitude approximately proportional to the expectation value of the relative velocity between the quarkonium and a parton in thermal equilibrium such an asymptotic behavior is due to the nlo dissociation cross section converging to a nonvanishing value in the high energy limit | [['the', 'velocity', 'dependence', 'of', 'the', 'thermal', 'width', 'of', 'heavy', 'quarkonia', 'traveling', 'with', 'respect', 'to', 'the', 'quark', 'gluon', 'plasma', 'is', 'calculated', 'up', 'to', 'the', 'nlo', 'in', 'perturbative', 'qcd', 'at', 'the', 'lo', 'the', 'width', 'decreases', 'with', 'increasing', 'speed', 'whereas', 'at', 'the', 'nlo', 'it', 'increases', 'with', 'a', 'magnitude', 'approximately', 'proportional', 'to', 'the', 'expectation', 'value', 'of', 'the', 'relative', 'velocity', 'between', 'the', 'quarkonium', 'and', 'a', 'parton', 'in', 'thermal', 'equilibrium', 'such', 'an', 'asymptotic', 'behavior', 'is', 'due', 'to', 'the', 'nlo', 'dissociation', 'cross', 'section', 'converging', 'to', 'a', 'nonvanishing', 'value', 'in', 'the', 'high', 'energy', 'limit']] | [-0.061643353414987105, 0.24263885899512558, -0.12165867084593968, 0.05341431281670148, 0.00028033451675329096, -0.02212678048174915, 0.026717593828432782, 0.3544622630660617, -0.23083323928078117, -0.24116393790355622, -0.01814040699621749, -0.3556567668524939, 0.1017882626958538, 0.09102087420259797, 0.05132515775581259, 0.122472393218168, 0.040112789733833525, 0.0668411893975856, -0.09910491479257512, -0.20826686622553267, 0.2843159039986731, 0.0945562369861575, 0.262917916615342, 0.2218171002310809, 0.07467189120388655, -0.0006852778822703417, -0.0054818756369397394, -0.011509313659612523, -0.125838877214085, 0.035601312207967736, 0.20374619284154696, -0.05420820034098227, 0.21060995339838312, -0.3082757262556359, -0.0852362844134616, 0.07963247693598617, 0.13818766473965763, 0.12448661236179083, 0.055094766668802087, -0.2228420367789303, 0.11229323029929641, -0.22594883188951848, -0.23175414863751856, -0.0165283938350026, 0.02120812322272984, -0.01603340835386324, -0.3040624538891364, 0.10930668318449238, -0.07499944961446725, -0.015016492282928423, -0.00022188658544490503, -0.1775252276944906, -0.11433206613413817, 0.03148137187303672, 0.16884597782370483, 0.13225995878036523, 0.16631512848530397, -0.2461654866157576, -0.09543062736507678, 0.3934302452821718, -0.1287970026023686, -0.1312965956370368, 0.13231796505427812, -0.20669762788037227, -0.052766831991395396, 0.22960130424173766, 0.18034641486376005, 0.08109242386498683, -0.09204129594226562, 0.07406883461463135, 0.047349377497380905, 0.18541674070374303, 0.12223060737732191, 0.07347392902146418, 0.17998425430769838, 0.16067270043869178, 0.04504444400325071, 0.09512036017597068, -0.07260967711281832, -0.14880205293424253, -0.374498377467484, -0.1183218059324941, -0.1010134536989553, 0.061785915260051574, -0.16716558814064333, -0.19791803869613728, 0.37111741380202906, 0.1504720033926153, 0.2694776300963577, 0.07164712499307338, 0.3610817096954168, 0.23164949369032023, 0.05665907359595389, 0.13563509412153169, 0.30833001906961893, 0.21834943986898506, 0.1651548941316473, -0.34147410819220336, 0.07354528178612507, 0.056897820753240305] |
709.0795 | Quasisymmetric structures on surfaces | We show that a locally Ahlfors 2-regular and locally linearly locally
contractible metric surface is locally quasisymmetrically equivalent to the
disk. We also discuss an application of this result to the problem of
characterizing surfaces in some Euclidean space that are locally bi-Lipschitz
equivalent to an open subset of the plane.
| math.MG math.CV | we show that a locally ahlfors 2regular and locally linearly locally contractible metric surface is locally quasisymmetrically equivalent to the disk we also discuss an application of this result to the problem of characterizing surfaces in some euclidean space that are locally bilipschitz equivalent to an open subset of the plane | [['we', 'show', 'that', 'a', 'locally', 'ahlfors', '2regular', 'and', 'locally', 'linearly', 'locally', 'contractible', 'metric', 'surface', 'is', 'locally', 'quasisymmetrically', 'equivalent', 'to', 'the', 'disk', 'we', 'also', 'discuss', 'an', 'application', 'of', 'this', 'result', 'to', 'the', 'problem', 'of', 'characterizing', 'surfaces', 'in', 'some', 'euclidean', 'space', 'that', 'are', 'locally', 'bilipschitz', 'equivalent', 'to', 'an', 'open', 'subset', 'of', 'the', 'plane']] | [-0.16225356743762306, 0.11766922722317223, -0.051686816027059275, 0.09152813379963239, -0.09904288777204998, -0.08705656722589743, -0.012810108142302316, 0.48308852227295146, -0.3680962286159104, -0.14042842022015475, 0.13425112514546617, -0.2628072308120774, -0.17416730439107792, 0.2366544749660819, -0.18814700104150117, 0.008590164566960405, 0.01861969531312877, 0.039996227587335835, -0.05753064236841073, -0.35144902955667645, 0.4515161292225707, -0.02159437405712464, 0.23037922725665802, 0.06569166401145506, 0.07824383544114728, -0.041036837597322816, 0.018020607841511566, 0.11445202619949009, -0.19926389051725696, 0.1445680929886579, 0.25253186177681475, 0.12079482244364187, 0.1998761843743862, -0.3607384391932511, -0.18700407334037272, 0.18081208518432343, 0.10528278077824735, 0.021785600147410936, -0.028966911009275446, -0.2804897071099749, 0.14448387230582097, -0.04375057114178643, -0.19007054811307028, -0.026744427415085772, 0.06707438448553577, -0.031336352283902025, -0.1743773740634103, -0.04565986342255629, 0.1366001443718286, 1.7650845442332473e-06, -0.13351089590429968, 0.008087859096407307, -0.08755918015159812, 0.09275859811653693, -0.022907920935026863, 0.20301159201920324, 0.09233245994968742, -0.002038008054060971, -0.05771044043677987, 0.353819632866219, -0.07649333320338936, -0.31094503282185865, 0.19269011680986367, -0.1763771425238719, -0.10741439263573756, 0.12605421166574837, 0.12935746870204515, 0.1748087945960316, -0.13867014363481134, 0.19976404606816633, -0.1272162925451994, 0.15230795765505628, 0.07148483148136851, 0.027776768531504216, 0.1364762519495379, 0.07157737282378708, 0.24646655768703887, 0.22405081697027474, 0.023547623781304733, -0.011399687203925615, -0.36183661500028536, -0.1930243617982841, -0.13915091459685022, 0.09978836410514572, -0.11202658350350034, -0.28101089708141835, 0.31344918821773987, 0.04614069236113744, 0.2012950303580831, 0.11386909647205588, 0.21209544454719506, 0.008613453411004123, -0.017485272869759916, 0.1861078027982776, 0.15255784764988622, 0.13992764066685648, -0.09550296515226364, -0.14323579681598964, -0.04883239508661277, 0.13796395149228036] |
709.0796 | On frames in Hilbert modules over pro-C*-algebras | We introduce the concept of frame of multipliers in Hilbert modules over
pro-C*-algebras and show that many properties of frames in Hilbert C*-modules
are valid for frames of multipliers in Hilbert modules over pro-C*-algebras.
| math.OA math.FA | we introduce the concept of frame of multipliers in hilbert modules over procalgebras and show that many properties of frames in hilbert cmodules are valid for frames of multipliers in hilbert modules over procalgebras | [['we', 'introduce', 'the', 'concept', 'of', 'frame', 'of', 'multipliers', 'in', 'hilbert', 'modules', 'over', 'procalgebras', 'and', 'show', 'that', 'many', 'properties', 'of', 'frames', 'in', 'hilbert', 'cmodules', 'are', 'valid', 'for', 'frames', 'of', 'multipliers', 'in', 'hilbert', 'modules', 'over', 'procalgebras']] | [-0.17024211256819613, 0.07125343768583502, -0.07467252201476025, 0.02914449093205964, 0.021253647484734434, -0.07006025626598035, -0.1006732658647439, 0.48428894973853054, -0.3713323627324665, -0.0950459686710554, 0.0757882978171384, -0.15876491263727932, -0.09797141550327926, 0.28715030465494185, -0.21389075686388156, 0.01281195755719262, 0.11166429237517364, 0.06855495471288175, -0.1597950424766168, -0.3405593569212429, 0.42386448175153313, 0.02793711588224944, 0.19841617291026256, -0.046750016757013166, 0.19409983780454187, 0.0910851456471445, -0.06449983066276592, -0.052129605757620406, -0.06234203307202038, 0.18664925507105448, 0.40596206354744296, 0.1449399781139458, 0.32726620948489976, -0.40418782107093754, -0.15774185799390955, 0.14091496900929248, 0.152442777680014, -0.08453502588878002, -0.009750531767221057, -0.28985159698983326, 0.04827630355515901, -0.20712993787053754, 0.01932312289307661, -0.1587516779442975, 0.06805549583890859, 0.06443547698504784, -0.2510501835221315, 0.019210327526225764, 0.10083751281832948, 0.12527502719860742, -0.22153132769060047, -0.03856179118156433, 0.0340970940887928, 0.03784344684990013, -0.07095977998174288, -0.07071452211205136, 0.10958811302450211, -0.04228522061534664, -0.15763643904424765, 0.34437499524039383, -0.061830743813462666, -0.2898838624686879, 0.1528018926636672, -0.22824344532016447, -0.09385423837503527, 0.04974152606583255, 0.11692966252346249, 0.15714473619728403, -0.07558556999463369, 0.22972487510175116, -0.18557301097932985, 0.04807616619612364, 0.12999577588840006, 0.2049431910546606, 0.07157464697957039, 0.05958702234441743, 0.12830834580852432, 0.1229215793479371, -0.023791024749002913, -0.05893243750666871, -0.40685462557217655, -0.33162904443109736, -0.14509553626617966, -0.046857597744640184, -0.05124311743480468, -0.13504281092215986, 0.5080156326293945, 0.16632094568408587, 0.21986944075016415, 0.10642968822161064, 0.1655709963182316, -0.01612150647184428, 0.1604079865193104, 0.07374823205720853, 0.18430031158084817, 0.19077538737260244, 0.028989458312828315, -0.033296949695795774, -0.10671964220647864, 0.270615088616443] |
709.0797 | Copies of a one-ended group in a Mapping Class Group | We establish that, given $\Sigma$ a compact orientable surface, and $G$ a
finitely presented one-ended group, the set of copies of $G$ in the mapping
class group $\mathcal{MCG}(\Sigma)$ consisting of only pseudo-anosov elements
except identity, is finite up to conjugacy. This relies on a result of Bowditch
on the same problem for images of surfaces groups. He asked us whether we could
reduce the case of one-ended groups to his result ; this is a positive answer.
Our work involves analogues of Rips and Sela canonical cylinders in curve
complexes, and the argument of Delzant to bound the number of images of a
one-ended group in a hyperbolic group.
| math.GR | we establish that given sigma a compact orientable surface and g a finitely presented oneended group the set of copies of g in the mapping class group mathcalmcgsigma consisting of only pseudoanosov elements except identity is finite up to conjugacy this relies on a result of bowditch on the same problem for images of surfaces groups he asked us whether we could reduce the case of oneended groups to his result this is a positive answer our work involves analogues of rips and sela canonical cylinders in curve complexes and the argument of delzant to bound the number of images of a oneended group in a hyperbolic group | [['we', 'establish', 'that', 'given', 'sigma', 'a', 'compact', 'orientable', 'surface', 'and', 'g', 'a', 'finitely', 'presented', 'oneended', 'group', 'the', 'set', 'of', 'copies', 'of', 'g', 'in', 'the', 'mapping', 'class', 'group', 'mathcalmcgsigma', 'consisting', 'of', 'only', 'pseudoanosov', 'elements', 'except', 'identity', 'is', 'finite', 'up', 'to', 'conjugacy', 'this', 'relies', 'on', 'a', 'result', 'of', 'bowditch', 'on', 'the', 'same', 'problem', 'for', 'images', 'of', 'surfaces', 'groups', 'he', 'asked', 'us', 'whether', 'we', 'could', 'reduce', 'the', 'case', 'of', 'oneended', 'groups', 'to', 'his', 'result', 'this', 'is', 'a', 'positive', 'answer', 'our', 'work', 'involves', 'analogues', 'of', 'rips', 'and', 'sela', 'canonical', 'cylinders', 'in', 'curve', 'complexes', 'and', 'the', 'argument', 'of', 'delzant', 'to', 'bound', 'the', 'number', 'of', 'images', 'of', 'a', 'oneended', 'group', 'in', 'a', 'hyperbolic', 'group']] | [-0.19586766848371095, 0.08004113821156114, -0.11864432203365821, 0.03782004050183693, -0.10936853383171642, -0.11675166879197425, 0.08721752932173348, 0.35133162241812066, -0.27591434082399324, -0.2925755010186651, 0.08369956850879347, -0.2795254216294422, -0.1284736904063236, 0.24324856044846438, -0.17840145395146073, -0.02846326636681964, 0.0820299503252032, 0.09184851279812996, -0.037986849462961624, -0.3004296776560074, 0.38781587568886366, -0.06210941732556463, 0.209490846912159, 0.05050767906810914, 0.11716711711329973, -0.002293202173069259, -0.03692049167562868, 0.007839763936206967, -0.12143386748139845, 0.14952256965611965, 0.2776775269673389, 0.06821926551268254, 0.22569242119136326, -0.345037184203061, -0.17877679973294405, 0.19174007029559847, 0.08855129544031327, 0.03655440588351165, -0.06586073214736567, -0.2689111919303329, 0.11406639146400402, -0.11612086523776856, -0.17135163442292642, 0.028763971996502342, 0.0989580284260109, -0.034403891141622144, -0.19484898984153695, -6.167366056241722e-06, 0.13367194203642485, 0.08755339610729819, -0.022536515192973002, -0.058942087055575625, -0.017899822918088917, 0.18096755032871512, -0.004133971753660016, 0.04380639438260625, 0.09616013280351028, -0.05885704933604765, -0.08905742464534869, 0.42076228741800115, -0.07783528728079851, -0.19949164651508364, 0.1816365105778884, -0.18370097995709592, -0.20053860634047468, 0.16008314858277756, 0.13880098491872303, 0.19252027940248775, -0.04161341534301891, 0.17154854315683402, -0.18875770751282434, 0.12917698115528187, 0.10789075283176988, -0.09136222617126236, 0.10756098952962556, 0.10123923528835038, 0.12106345066034765, 0.14071268824616742, 0.0487571912469499, 0.07629085047862484, -0.3248204217536079, -0.22841786274471032, -0.17039779976671823, 0.14355784241614916, -0.07322396780976212, -0.20532499858239125, 0.40605724515898206, 0.025235376072716767, 0.15632244306572965, 0.11520548908161783, 0.18349868208866252, 0.0014153266741478573, 0.05466514137338534, 0.07751477762151544, 0.0763238302201346, 0.23358121898164538, -0.10208972965619553, -0.15498150906973807, -0.01611603181112871, 0.22750320291651466] |
709.0798 | Optimizing the electronic control loop of a solid-state ring laser
gyroscope | We study in this Letter the dynamical effects of the limited bandwidth of the
control electronics in a solid-state (Nd-YAG) ring laser gyroscope. We derive a
stability condition for the rotation-sensing regime in the case of a
first-order control loop, showing that the smallest measurable rotation speed
depends directly on the cutoff frequency value. Our experimental measurements
are in good agreement with this prediction.
| physics.optics | we study in this letter the dynamical effects of the limited bandwidth of the control electronics in a solidstate ndyag ring laser gyroscope we derive a stability condition for the rotationsensing regime in the case of a firstorder control loop showing that the smallest measurable rotation speed depends directly on the cutoff frequency value our experimental measurements are in good agreement with this prediction | [['we', 'study', 'in', 'this', 'letter', 'the', 'dynamical', 'effects', 'of', 'the', 'limited', 'bandwidth', 'of', 'the', 'control', 'electronics', 'in', 'a', 'solidstate', 'ndyag', 'ring', 'laser', 'gyroscope', 'we', 'derive', 'a', 'stability', 'condition', 'for', 'the', 'rotationsensing', 'regime', 'in', 'the', 'case', 'of', 'a', 'firstorder', 'control', 'loop', 'showing', 'that', 'the', 'smallest', 'measurable', 'rotation', 'speed', 'depends', 'directly', 'on', 'the', 'cutoff', 'frequency', 'value', 'our', 'experimental', 'measurements', 'are', 'in', 'good', 'agreement', 'with', 'this', 'prediction']] | [-0.19302776975498076, 0.1375964508938884, -0.05912352844496213, -0.014915701486022464, -0.04913685770912303, -0.11432315440412374, 0.07644006357129131, 0.39201014814159224, -0.24952501838745933, -0.272682190118801, 0.10128545883806452, -0.24152194302056043, -0.09669358513894535, 0.2699766883900064, -0.0899108921635955, 0.08517904947733596, 0.048873092565271586, 0.038237856257529484, -0.06331923943648618, -0.1380784832355049, 0.24399097355836558, 0.09392232844044292, 0.3089944871053809, 0.04376944057303407, 0.09983827124187161, -0.02088113229662653, 0.022462597057696373, 0.0006123637884027428, -0.1836610803172031, 0.08184684845360203, 0.22418551319944008, 0.01182583695100177, 0.2503949873447825, -0.38300077694039497, -0.20938417024260003, 0.08464953672909548, 0.08373804510541497, 0.12852865601668045, -0.10843607657108574, -0.23530820277815181, 0.059431316441900674, -0.15475570098201316, -0.13656017225649622, -0.020242131936053436, 0.0019576739933755663, 0.04227798351729732, -0.2946152087330582, 0.06264067473747427, 0.038331447684276286, 0.08511779729336028, -0.07742699571249503, -0.027693168075370884, 0.045403402878917636, 0.09439189815598112, -0.01380047042454992, 0.024877826598221586, 0.16324135263465225, -0.1306910429164649, -0.09242943872416777, 0.370183020889286, -0.11032095812224148, -0.1786304439107577, 0.13309284657358178, -0.2397029543561595, -0.10262072815870245, 0.08657482738739677, 0.14978726006331042, 0.13069347348359842, -0.11611915318228837, 0.0735710324601285, -0.044351800625759455, 0.24734347369817514, 0.08481744334604295, 0.08945159895596416, 0.18647741535235018, 0.21068213118558068, 0.05673632739039715, 0.14763952086546592, -0.08813417384711404, -0.10010535086667727, -0.3481461341300654, -0.10262792981747124, -0.16286383802810359, 0.0276077937682174, -0.0843085542483817, -0.116079719430427, 0.4062248340231322, 0.20150477371163786, 0.18041033893527966, 0.03503874662731375, 0.33871693297156263, 0.1661882093213203, 0.04616194661884081, 0.012955498645111682, 0.32900616633040564, 0.12559511578301824, 0.10213868628211674, -0.3170975155477959, 0.048677520212968665, -0.007591483253423893] |
709.0799 | Appropriate SCF basis sets for orbital studies of galaxies and a
`quantum-mechanical' method to compute them | We address the question of an appropriate choice of basis functions for the
self-consistent field (SCF) method of simulation of the N-body problem. Our
criterion is based on a comparison of the orbits found in N-body realizations
of analytical potential-density models of triaxial galaxies, in which the
potential is fitted by the SCF method using a variety of basis sets, with those
of the original models. Our tests refer to maximally triaxial Dehnen
gamma-models for values of $\gamma$ in the range 0<=gamma<=1. When an N-body
realization of a model is fitted by the SCF method, the choice of radial basis
functions affects significantly the way the potential, forces, or derivatives
of the forces are reproduced, especially in the central regions of the system.
We find that this results in serious discrepancies in the relative amounts of
chaotic versus regular orbits, or in the distributions of the Lyapunov
characteristic exponents, as found by different basis sets. Numerical tests
include the Clutton-Brock and the Hernquist-Ostriker (HO) basis sets, as well
as a family of numerical basis sets which are `close' to the HO basis set. The
family of numerical basis sets is parametrized in terms of a quantity
$\epsilon$ which appears in the kernel functions of the Sturm-Liouville (SL)
equation defining each basis set. The HO basis set is the $\epsilon=0$ member
of the family. We demonstrate that grid solutions of the SL equation yielding
numerical basis sets introduce large errors in the variational equations of
motion. We propose a quantum-mechanical method of solution of the SL equation
which overcomes these errors. We finally give criteria for a choice of optimal
value of $\epsilon$ and calculate the latter as a function of the value of
gamma.
| astro-ph | we address the question of an appropriate choice of basis functions for the selfconsistent field scf method of simulation of the nbody problem our criterion is based on a comparison of the orbits found in nbody realizations of analytical potentialdensity models of triaxial galaxies in which the potential is fitted by the scf method using a variety of basis sets with those of the original models our tests refer to maximally triaxial dehnen gammamodels for values of gamma in the range 0gamma1 when an nbody realization of a model is fitted by the scf method the choice of radial basis functions affects significantly the way the potential forces or derivatives of the forces are reproduced especially in the central regions of the system we find that this results in serious discrepancies in the relative amounts of chaotic versus regular orbits or in the distributions of the lyapunov characteristic exponents as found by different basis sets numerical tests include the cluttonbrock and the hernquistostriker ho basis sets as well as a family of numerical basis sets which are close to the ho basis set the family of numerical basis sets is parametrized in terms of a quantity epsilon which appears in the kernel functions of the sturmliouville sl equation defining each basis set the ho basis set is the epsilon0 member of the family we demonstrate that grid solutions of the sl equation yielding numerical basis sets introduce large errors in the variational equations of motion we propose a quantummechanical method of solution of the sl equation which overcomes these errors we finally give criteria for a choice of optimal value of epsilon and calculate the latter as a function of the value of gamma | [['we', 'address', 'the', 'question', 'of', 'an', 'appropriate', 'choice', 'of', 'basis', 'functions', 'for', 'the', 'selfconsistent', 'field', 'scf', 'method', 'of', 'simulation', 'of', 'the', 'nbody', 'problem', 'our', 'criterion', 'is', 'based', 'on', 'a', 'comparison', 'of', 'the', 'orbits', 'found', 'in', 'nbody', 'realizations', 'of', 'analytical', 'potentialdensity', 'models', 'of', 'triaxial', 'galaxies', 'in', 'which', 'the', 'potential', 'is', 'fitted', 'by', 'the', 'scf', 'method', 'using', 'a', 'variety', 'of', 'basis', 'sets', 'with', 'those', 'of', 'the', 'original', 'models', 'our', 'tests', 'refer', 'to', 'maximally', 'triaxial', 'dehnen', 'gammamodels', 'for', 'values', 'of', 'gamma', 'in', 'the', 'range', '0gamma1', 'when', 'an', 'nbody', 'realization', 'of', 'a', 'model', 'is', 'fitted', 'by', 'the', 'scf', 'method', 'the', 'choice', 'of', 'radial', 'basis', 'functions', 'affects', 'significantly', 'the', 'way', 'the', 'potential', 'forces', 'or', 'derivatives', 'of', 'the', 'forces', 'are', 'reproduced', 'especially', 'in', 'the', 'central', 'regions', 'of', 'the', 'system', 'we', 'find', 'that', 'this', 'results', 'in', 'serious', 'discrepancies', 'in', 'the', 'relative', 'amounts', 'of', 'chaotic', 'versus', 'regular', 'orbits', 'or', 'in', 'the', 'distributions', 'of', 'the', 'lyapunov', 'characteristic', 'exponents', 'as', 'found', 'by', 'different', 'basis', 'sets', 'numerical', 'tests', 'include', 'the', 'cluttonbrock', 'and', 'the', 'hernquistostriker', 'ho', 'basis', 'sets', 'as', 'well', 'as', 'a', 'family', 'of', 'numerical', 'basis', 'sets', 'which', 'are', 'close', 'to', 'the', 'ho', 'basis', 'set', 'the', 'family', 'of', 'numerical', 'basis', 'sets', 'is', 'parametrized', 'in', 'terms', 'of', 'a', 'quantity', 'epsilon', 'which', 'appears', 'in', 'the', 'kernel', 'functions', 'of', 'the', 'sturmliouville', 'sl', 'equation', 'defining', 'each', 'basis', 'set', 'the', 'ho', 'basis', 'set', 'is', 'the', 'epsilon0', 'member', 'of', 'the', 'family', 'we', 'demonstrate', 'that', 'grid', 'solutions', 'of', 'the', 'sl', 'equation', 'yielding', 'numerical', 'basis', 'sets', 'introduce', 'large', 'errors', 'in', 'the', 'variational', 'equations', 'of', 'motion', 'we', 'propose', 'a', 'quantummechanical', 'method', 'of', 'solution', 'of', 'the', 'sl', 'equation', 'which', 'overcomes', 'these', 'errors', 'we', 'finally', 'give', 'criteria', 'for', 'a', 'choice', 'of', 'optimal', 'value', 'of', 'epsilon', 'and', 'calculate', 'the', 'latter', 'as', 'a', 'function', 'of', 'the', 'value', 'of', 'gamma']] | [-0.11833502757887711, 0.03758857362589251, -0.10210112364090403, 0.046191920331207066, -0.015058205880283733, -0.06998683815546544, 0.05528951923257973, 0.31328200046374777, -0.2538685488586747, -0.28879814787479247, 0.06549858340327824, -0.2528937070689518, -0.1273505439822772, 0.22372111988366208, -0.006089827167132581, 0.09441886065265657, 0.07512388181295508, 0.003963131982255989, -0.08619555031460985, -0.2150790109323718, 0.3497896242762168, 0.040516359933847106, 0.23635546114905673, -0.03183148230399779, 0.08058458262835494, -0.025703837584932072, -0.029867550172895507, 0.03233255388569349, -0.14591080166218504, 0.12321855303295232, 0.19728078407803276, 0.11983394710934052, 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709.08 | Elation generalised quadrangles of order (s,p), where p is prime | We show that an elation generalised quadrangle which has p+1 lines on each
point, for some prime p, is classical or arises from a flock of a quadratic
cone (i.e., is a flock quadrangle).
| math.CO math.GR | we show that an elation generalised quadrangle which has p1 lines on each point for some prime p is classical or arises from a flock of a quadratic cone ie is a flock quadrangle | [['we', 'show', 'that', 'an', 'elation', 'generalised', 'quadrangle', 'which', 'has', 'p1', 'lines', 'on', 'each', 'point', 'for', 'some', 'prime', 'p', 'is', 'classical', 'or', 'arises', 'from', 'a', 'flock', 'of', 'a', 'quadratic', 'cone', 'ie', 'is', 'a', 'flock', 'quadrangle']] | [-0.2167777310618583, 0.04595600785251008, -0.1314148534746731, 0.019127743024214664, -0.12145426606430727, -0.2208020437426646, 0.023584846461958745, 0.3395876845564036, -0.3565295952207902, -0.15873267451602527, 0.06662864120581242, -0.32035427058444305, -0.15017574125051716, 0.16125130315776914, -0.11799316012012936, -0.04420527264557998, -0.00472019226564204, 0.11600250505623133, -0.03476805732284179, -0.2296022302197183, 0.3680007974891102, -0.08511940702138578, 0.1613028050838586, -0.015657519524478736, 0.15139574064489672, 0.0060830675065517426, 0.07949206459007281, 0.05003746516783448, -0.10145428818620583, 0.04347548623884316, 0.19269448967979236, 0.12318689195329652, 0.28525905333021107, -0.3097627385355094, -0.16411403418682954, 0.1709537007024183, 0.11863140123622383, 0.08423076680628583, -0.025664049012394732, -0.20745515949366725, 0.12309273399809814, -0.09462799533160732, -0.2109777389149017, -0.0015131965252187323, 0.0717874751700198, 0.03527945647125735, -0.29923569947919426, -0.029743333073223337, 0.16876430497230852, 0.13399093217380784, -0.017350917702595538, -0.1408243490218678, -0.03307579159188796, 0.02954634542659144, -0.006531246088664322, 0.08119227852234069, 0.07143741021590198, -0.09732361630920101, -0.17477524244938702, 0.4780048355460167, -0.015909921651815668, -0.18036033834933357, 0.1202517814715119, -0.16666762114447706, -0.12822689717252025, 0.15771457859698465, 0.12144370720831349, 0.12606963770025792, -0.008284577278091627, 0.14932253145996263, -0.20128925867816982, 0.14271530060196871, 0.1464983093114022, -0.10735008812865571, 0.20189225191579147, 0.06289436555851032, 0.16892661143313437, 0.15793803014607607, -0.12232781283091754, -0.05469453214284252, -0.35612853764392, -0.18895524978528128, -0.13423804615569465, 0.10382543705910553, -0.10378549734185286, -0.19704565340105226, 0.336744675768868, 0.0015652063354055451, 0.20204019152066288, 0.06259496304932434, 0.18581657018512487, 0.07524265518740696, 0.05050356434110333, 0.10426116014337715, 0.132214628479286, 0.07477045861785026, -0.04795746343648609, -0.16593901554862148, 0.012603954288779813, 0.1224944839007495] |
709.0801 | Lie admissible algebras are Volichenko | Withdrawn on account of a crucial error in the main theorem
| math.RT | withdrawn on account of a crucial error in the main theorem | [['withdrawn', 'on', 'account', 'of', 'a', 'crucial', 'error', 'in', 'the', 'main', 'theorem']] | [-0.15422422997653484, -0.098627263256772, -0.13387677987868135, 0.14313536069609903, 0.038328029892661354, -0.09185178810730577, 0.0816514478488402, 0.23239376937801187, -0.22051021016456865, -0.29385083947669377, 0.07926423427521843, -0.1721055218103257, -0.08225782351060347, 0.21508272263136777, -0.31481023818593135, 0.03822523829611865, 0.09544683146205815, -0.03746245124123313, 0.018443610857833515, -0.261373085393147, 0.3028929595920173, 0.058192806149070915, 0.2866180359639905, 0.2739281662824479, 0.07261659679087726, 0.08980529488657009, -0.17679180594330485, -0.09172557429833846, -0.15038638790561396, 0.08947586386718533, 0.18065801601518283, -0.0101613489148969, 0.49802613393826917, -0.43693999192592775, -0.13066212748262016, 0.12046049251644449, 0.12105716002935712, 0.11351255564527078, -0.09660791204607283, -0.39992632242766296, 0.17899306025356054, -0.17713072150945663, -0.15608370710502972, 0.05452546697448601, 0.024738500741395084, -0.06464337709952485, -0.14623269087910143, 0.15021156418052586, 0.3283480956134471, 0.088594739748673, -0.0823855825107206, -0.2325690977952697, 0.0014026302166960456, 0.2695880049246956, 0.15062147582119162, 0.07504985189404, 0.024398475567894904, -0.059452283111485565, -0.018164972520687363, 0.4130468089133501, 0.0222240322354165, -0.21502976678311825, -0.0296986922621727, -0.0689941541376439, -0.19958665492859753, 0.17868378665298223, 0.29430930164049973, 0.03935451805591583, -0.16629808514632963, 0.11814567412842404, 0.03324485231529583, 0.2274343151260506, 0.05651339778507298, 0.026809373701160603, 0.1569566069678827, 0.2345002449371598, 0.0365336336703463, 0.15145682408051056, -0.016764152350581506, -0.055939368226311424, -0.4270139749754559, -0.20262016254392537, -0.27917946329001675, 0.11300876872106032, -0.024199802597815342, -0.16124807094985788, 0.3613830533894626, 0.24846245555884458, 0.11590755862099203, -0.0567823512987657, 0.3812550109895793, 0.11285094221503558, 0.120962825095789, -0.025900906121188946, 0.2933530565351248, 0.2545485000380061, 0.0653289172544398, -0.1038966558196328, 0.19021853224628352, 0.2432679948608645] |
709.0802 | Robust Preparation of GHZ and W States of Three Distant Atoms | Schemes to generate Greenberger-Horne-Zeilinger(GHZ) and W states of three
distant atoms are proposed in this paper. The schemes use the effects of
quantum statistics of indistinguishable photons emitted by the atoms inside
optical cavities. The advantages of the schemes are their robustness against
detection inefficiency and asynchronous emission of the photons. Moreover, in
Lamb-Dicke limit, the schemes do not require simultaneous click of the
detectors, this makes the schemes more realizable in experiments.
| quant-ph | schemes to generate greenbergerhornezeilingerghz and w states of three distant atoms are proposed in this paper the schemes use the effects of quantum statistics of indistinguishable photons emitted by the atoms inside optical cavities the advantages of the schemes are their robustness against detection inefficiency and asynchronous emission of the photons moreover in lambdicke limit the schemes do not require simultaneous click of the detectors this makes the schemes more realizable in experiments | [['schemes', 'to', 'generate', 'greenbergerhornezeilingerghz', 'and', 'w', 'states', 'of', 'three', 'distant', 'atoms', 'are', 'proposed', 'in', 'this', 'paper', 'the', 'schemes', 'use', 'the', 'effects', 'of', 'quantum', 'statistics', 'of', 'indistinguishable', 'photons', 'emitted', 'by', 'the', 'atoms', 'inside', 'optical', 'cavities', 'the', 'advantages', 'of', 'the', 'schemes', 'are', 'their', 'robustness', 'against', 'detection', 'inefficiency', 'and', 'asynchronous', 'emission', 'of', 'the', 'photons', 'moreover', 'in', 'lambdicke', 'limit', 'the', 'schemes', 'do', 'not', 'require', 'simultaneous', 'click', 'of', 'the', 'detectors', 'this', 'makes', 'the', 'schemes', 'more', 'realizable', 'in', 'experiments']] | [-0.1221618637464915, 0.14693724325449806, -0.03370564943817381, 0.036552219053216865, 0.023981689207562027, -0.1796207968145609, 0.09163113665441688, 0.43265697594783076, -0.20369061638205632, -0.2670604978777366, 0.016565847441821983, -0.3030939907958246, -0.04178731417768214, 0.23993595675660986, -0.06838957141217304, 0.0730554950232171, 0.07727280575526904, -0.048372159150671466, -0.06699009290704988, -0.2715870817255688, 0.3105654866906674, 0.08011045992495619, 0.35045641895434626, 0.01764292278237743, 0.10971757507410972, -0.027084353105611587, -0.052516344577482305, -0.04723990579575862, -0.04757570850420488, 0.13003132593967914, 0.26039459997762554, 0.11335428757593036, 0.25482198629171066, -0.45785257031452165, -0.20620977138615634, 0.1559866735431021, 0.16082111406714134, 0.17903576386224937, -0.03635873825848262, -0.29920702356181733, 0.03240808752709872, -0.1918497074886595, -0.0813396958162217, -0.050835020253307196, -0.045621322927205527, 0.0595164009208842, -0.24071214977039457, 0.05051524319992184, 0.06983208099869717, 0.006937166267674263, 0.0341619787584633, -0.0034181924715434037, 0.03190582391027719, 0.0929459481921098, -0.026242935468685138, -0.11348920607020797, 0.1653203998424419, -0.1406181840352038, -0.20479958185492314, 0.4116121357791636, -0.0462119431164728, -0.18233177165041536, 0.2104376231843274, -0.11956491561172759, -0.07572079993376177, 0.1687336726598952, 0.1474288812557822, 0.16095271568158515, -0.07852374164591709, 0.029462249660928263, 0.0025164339283149538, 0.17061471514569673, 0.07266198759196862, 0.1851016504766598, 0.17517973281034868, 0.07857133187863925, 0.029527654079560903, 0.14001075832702678, -0.14385260451482992, -0.07974278304266604, -0.2871076707243409, -0.14360275927114569, -0.18597439514498595, -0.024798759342010184, -0.021527553729518405, -0.11198756427899616, 0.35914761698103115, 0.18440862917277503, 0.14820153390261512, -0.013147759442664173, 0.3911733517346725, 0.06152742552532725, 0.053954019660946644, 0.05848717962532011, 0.3196064735928627, 0.12283058395953722, 0.06178760962969024, -0.2373998208507283, 0.037232916470463964, 0.0007526789702577134] |
709.0803 | On non-monotonic orbital velocity profiles around rapidly rotating
Kerr-(anti)de Sitter black holes: acomment to the recently published results | Critical discussion of the recently published results [Muller, A. and
Aschenbach, B. 2007 Class. Quantum Grav. 24, p. 2637; arXiv:0704.3963] on the
non-monotonic orbital velocity profiles of the Keplerian motion of test
particles and l = const motion of test perfect fluid around K(a)dS black holes
is given, and the discrepancies concerned the existence of the non-monotonicity
in dependence of the spacetime parameters are corrected. Moreover a new
non-monotonic behaviour of the Keplerian orbital velocity in the Kerr-antide
Sitter spacetimes is highlighted.
| gr-qc | critical discussion of the recently published results muller a and aschenbach b 2007 class quantum grav 24 p 2637 arxiv07043963 on the nonmonotonic orbital velocity profiles of the keplerian motion of test particles and l const motion of test perfect fluid around kads black holes is given and the discrepancies concerned the existence of the nonmonotonicity in dependence of the spacetime parameters are corrected moreover a new nonmonotonic behaviour of the keplerian orbital velocity in the kerrantide sitter spacetimes is highlighted | [['critical', 'discussion', 'of', 'the', 'recently', 'published', 'results', 'muller', 'a', 'and', 'aschenbach', 'b', '2007', 'class', 'quantum', 'grav', '24', 'p', '2637', 'arxiv07043963', 'on', 'the', 'nonmonotonic', 'orbital', 'velocity', 'profiles', 'of', 'the', 'keplerian', 'motion', 'of', 'test', 'particles', 'and', 'l', 'const', 'motion', 'of', 'test', 'perfect', 'fluid', 'around', 'kads', 'black', 'holes', 'is', 'given', 'and', 'the', 'discrepancies', 'concerned', 'the', 'existence', 'of', 'the', 'nonmonotonicity', 'in', 'dependence', 'of', 'the', 'spacetime', 'parameters', 'are', 'corrected', 'moreover', 'a', 'new', 'nonmonotonic', 'behaviour', 'of', 'the', 'keplerian', 'orbital', 'velocity', 'in', 'the', 'kerrantide', 'sitter', 'spacetimes', 'is', 'highlighted']] | [-0.20408354625105857, 0.12903711579274385, -0.0954142331960611, 0.06808262954873498, -0.08612620871281251, -0.1501533662318252, -0.007110355122131295, 0.25744099798321257, -0.14979949964908884, -0.3165387743385509, 0.02511528806062415, -0.29508538339578083, -0.06706265122047625, 0.18436162414145657, -0.09248232266036212, 0.09789377991692164, 0.026171575102489443, 0.0017975355265662074, -0.08330156378215178, -0.2106233721191529, 0.2939119073271286, 0.06115740127715981, 0.21537550687789916, -0.0039646975230425595, 0.09370478020282462, -0.003197553534118924, -0.04005359385628253, 0.08172501670778728, -0.23661453929380513, 0.025894970959052445, 0.16626709916163235, 0.0698376532032853, 0.214382715721149, -0.31358718998963014, -0.18389150366128887, 0.02664861741941422, 0.11668546228320338, 0.10459431250928901, -0.03225367544946493, -0.30261783180758356, 0.04281046663454617, -0.17171188024803996, -0.1961556646958343, 0.0037601771648041902, 0.189766277349554, 0.018683000933378935, -0.19673347738571464, 0.17974954051314854, 0.13626945681171493, 0.10483403233811259, -0.12921800650947263, -0.10631131367699709, -0.06864463498350233, 0.03011838396632811, 0.09253123385715298, 0.03540985699510202, 0.14353658517356963, -0.08969159624539316, -0.11446942451875657, 0.37521555221173913, -0.08783545266487636, -0.1685280646313913, 0.17125351063441485, -0.2223235941492021, -0.08697741982177831, 0.1350005018990487, 0.1551606630673632, 0.17576601984910667, -0.11786476380657404, 0.13419159136610687, -0.058170848482404836, 0.1632952673593536, 0.1399020103679504, 0.001980324671603739, 0.28721640040457713, 0.052951478281465826, -0.01724745929823257, 0.08987451196007896, -0.11339841336885001, -0.14467412831363619, -0.32437356864102185, -0.16795275246258826, -0.1478917783824727, 0.05990345828176942, -0.13964756475124887, -0.16559418346732854, 0.332380753941834, 0.10477804720430868, 0.18933197765436488, 0.010038162174168974, 0.17725001497005904, 0.0761421732371673, -0.023958540255989647, 0.13302596571156755, 0.30343962968327104, 0.16288225834141484, 0.16932472656044412, -0.2784853220568039, 0.01948079186840914, 0.04844456997234374] |
709.0804 | Measurable entanglement for tripartite quantum pure states of qubits | We show that for tripartite quantum pure states of qubits, all the kinds of
entanglement in terms of SLOCC classification are experimentally measurable by
simple projective measurements, provided that four copies of the composite
quantum system are available. In particular, the entanglement of reduced
density matrices, even though they are mixed states, can be exactly determined
in experiment. Concurrence of assistance is also shown to be measurable by
introducing an interesting equations with explicit physical meanings.
| quant-ph | we show that for tripartite quantum pure states of qubits all the kinds of entanglement in terms of slocc classification are experimentally measurable by simple projective measurements provided that four copies of the composite quantum system are available in particular the entanglement of reduced density matrices even though they are mixed states can be exactly determined in experiment concurrence of assistance is also shown to be measurable by introducing an interesting equations with explicit physical meanings | [['we', 'show', 'that', 'for', 'tripartite', 'quantum', 'pure', 'states', 'of', 'qubits', 'all', 'the', 'kinds', 'of', 'entanglement', 'in', 'terms', 'of', 'slocc', 'classification', 'are', 'experimentally', 'measurable', 'by', 'simple', 'projective', 'measurements', 'provided', 'that', 'four', 'copies', 'of', 'the', 'composite', 'quantum', 'system', 'are', 'available', 'in', 'particular', 'the', 'entanglement', 'of', 'reduced', 'density', 'matrices', 'even', 'though', 'they', 'are', 'mixed', 'states', 'can', 'be', 'exactly', 'determined', 'in', 'experiment', 'concurrence', 'of', 'assistance', 'is', 'also', 'shown', 'to', 'be', 'measurable', 'by', 'introducing', 'an', 'interesting', 'equations', 'with', 'explicit', 'physical', 'meanings']] | [-0.1453576899780034, 0.2510213473105978, -0.04777429741807282, 0.04438883482362144, 0.0445112823815036, -0.21862904479923218, -0.0278987708611806, 0.3628957325984773, -0.23955226791287332, -0.2751922446094747, 0.07572319367318414, -0.27991782559547573, -0.134249133492918, 0.2203332714393343, -0.05708360007817024, 0.101271628978123, 0.0942826701686595, 0.06751088141524968, -0.09735169692277468, -0.3214421447513527, 0.34996001064581306, -0.02828617846458464, 0.2510148144180053, 0.0576657061587627, 0.09991757215711435, -0.03342812837677469, 0.04533179148443436, 0.06330992236096215, -0.09123950440985745, 0.09644729997441907, 0.33807229365859376, 0.1582769055660863, 0.14816616433841104, -0.42088665006878345, -0.19494103847414648, 0.14237400703132153, 0.11178011533583661, 0.15714024063689927, 0.007950855026903906, -0.3428329318443215, 0.044022589499179865, -0.18688103829289934, -0.09343643045346987, -0.1581248542980144, 0.021013022449455764, -0.03464275000518874, -0.2468618143251852, 0.10298942325071518, 0.03087399086890448, 0.07549461417243276, -0.02360140351505068, -0.06717790501945849, -0.054700043616130165, 0.12713068313161402, -0.06492333412538037, -0.06674219905031159, 0.09238897960657548, -0.12077678988785728, -0.1786237802221685, 0.31541279845527914, -0.0409689497564135, -0.24859779925617131, 0.18258949903477179, -0.14035559363516145, -0.11143872093433808, 0.06270527151584822, 0.08845862650655602, 0.0978370928021736, -0.17043411138614542, 0.0725028756760845, -0.08588908327970114, 0.17896938944039376, 0.08851703399130584, 0.14866072835866362, 0.1766962448478137, 0.02301601990505955, 0.06377180546865259, 0.2026789059194638, 0.05178996270497967, -0.1322113086598141, -0.34790750436092677, -0.21560943254122608, -0.25803142678648183, 0.09756439126488801, -0.08858832788322807, -0.08768231965912396, 0.39545850146954, 0.09793244984987388, 0.1564478478762076, -0.007481277920305729, 0.23912839903373664, 0.14802429050446095, 0.06755511673461449, 0.05352448838713922, 0.25018956071213133, 0.13788090313564202, -0.026770278983014196, -0.21908893688018188, 0.08377101045641068, 0.024675779795200612] |
709.0805 | Weak approximation of a fractional SDE | In this note, a diffusion approximation result is shown for stochastic
differential equations driven by a (Liouville) fractional Brownian motion B
with Hurst parameter H in (1/3,1/2). More precisely, we resort to the
Kac-Stroock type approximation using a Poisson process studied in Bardina,
Jolis and Tudor (2003) and Delgado and Jolis (2000), and our method of proof
relies on the algebraic integration theory introduced by Gubinelli (2004).
| math.PR | in this note a diffusion approximation result is shown for stochastic differential equations driven by a liouville fractional brownian motion b with hurst parameter h in 1312 more precisely we resort to the kacstroock type approximation using a poisson process studied in bardina jolis and tudor 2003 and delgado and jolis 2000 and our method of proof relies on the algebraic integration theory introduced by gubinelli 2004 | [['in', 'this', 'note', 'a', 'diffusion', 'approximation', 'result', 'is', 'shown', 'for', 'stochastic', 'differential', 'equations', 'driven', 'by', 'a', 'liouville', 'fractional', 'brownian', 'motion', 'b', 'with', 'hurst', 'parameter', 'h', 'in', '1312', 'more', 'precisely', 'we', 'resort', 'to', 'the', 'kacstroock', 'type', 'approximation', 'using', 'a', 'poisson', 'process', 'studied', 'in', 'bardina', 'jolis', 'and', 'tudor', '2003', 'and', 'delgado', 'and', 'jolis', '2000', 'and', 'our', 'method', 'of', 'proof', 'relies', 'on', 'the', 'algebraic', 'integration', 'theory', 'introduced', 'by', 'gubinelli', '2004']] | [-0.059718005009926856, 0.04609342458460367, -0.10171463024435622, 0.05697703681226179, -0.08777253335398255, -0.12686147879470477, 0.042302081373760084, 0.287784474901855, -0.26006137958558445, -0.2925243739772475, 0.08951183024151815, -0.22700714494920138, -0.20907627619100932, 0.20186910835433414, -0.14092187325216152, 0.0771651253329985, 0.03784249813267679, -0.0683913625438105, 0.021541075040162963, -0.24160109307955613, 0.27245788846983376, 0.013329173297141537, 0.18664358616947677, -0.04466069275231072, 0.15416529067707332, 0.05211858264749136, -0.14115172909232293, 0.0225763425202758, -0.2445934123543063, 0.11288087297527288, 0.17530327226444514, -0.008625199404460463, 0.29158109254344844, -0.3606045250498662, -0.19546838976781478, 0.04077542888593267, 0.11710360891734264, 0.03338049598757855, -0.004368060654087458, -0.3511688079628529, 0.024476661389185625, -0.1797355692833662, -0.14196193078532815, -0.06739182932175357, 0.11538958797852199, 0.04248592186944954, -0.311428560395584, 0.13466541077871103, 0.14733697845120775, 0.06146892068456068, -0.03451545291693148, -0.09172647511833489, 0.005762315288214295, -0.046637755712832914, -0.017194998119410946, 0.05133208930210182, 0.06764563173761196, -0.030592745237024217, -0.1659214214323032, 0.31544983744000393, -0.12803631926406966, -0.24748591593269145, 0.1415956609363837, -0.12601501603300372, -0.1635656236727355, 0.12468173271609527, 0.09081964728874013, 0.15970538347733743, -0.19174377275913052, 0.20379035331830947, -0.00951405902477828, 0.08189409051203367, 0.12450326259501955, -0.11403737990467837, 0.003295209922009345, 0.1257266013981831, 0.05832208939969088, 0.07766824966352998, -0.05829616860754675, -0.1729452107877781, -0.24880241923683294, -0.1788763749257972, -0.16236365470809466, 0.13996751279443165, -0.08087573946139662, -0.15021799720786724, 0.31959565645648225, 0.11559091504155235, 0.14812184039108228, 0.04223692409207367, 0.18758515982225424, 0.20430431223763718, -0.07541229290390303, 0.09893173457010451, 0.17150427059580883, 0.23959408272198882, 0.1755687950644642, -0.1573911787956163, 0.03333331622663095, 0.20104310590999597] |
709.0806 | The UV colours of high-redshift early-type galaxies: evidence for recent
star formation and stellar mass assembly over the last 8 billion years | We combine deep UBVRIzJK photometry from the Multiwavelength Survey by
Yale-Chile (MUSYC) with redshifts from the COMBO-17 survey to perform a
large-scale study of the rest-frame ultraviolet (UV) properties of 674
high-redshift (0.5<z<1) early-type galaxies, drawn from the Extended Chandra
Deep Field South (E-CDFS). Galaxy morphologies are determined through visual
inspection of Hubble Space Telescope (HST) images taken from the GEMS survey.
We harness the sensitivity of the UV to young (<1 Gyr old) stars to quantify
the recent star formation history of early-type galaxies across a range of
luminosities (-23.5 < M(V) < -18). Comparisons to simple stellar populations
forming at high redshift indicate that only ~1.1 percent of early-types in this
sample are consistent with purely passive ageing since z=2. Parametrising the
recent star formation (RSF) in terms of the mass fraction of stars less than a
Gyr old, we find that the early-type population as a whole shows a typical RSF
between 5 and 13% in the redshift range 0.5<z<1. Early-types on the UV red
sequence show RSF values less than 5% while the reddest early-types are
virtually quiescent with RSF values of ~1%. We find compelling evidence that
early-types of all luminosities form stars over the lifetime of the Universe,
although the bulk of their star formation is already complete at high redshift.
This tail-end of star formation is measurable and not negligible, with luminous
(-23<M(V)<-20.5) early-types potentially forming 10-15% of their mass since
z=1, with their less luminous (M(V)>-20.5) counterparts potentially forming
30-60 percent of their mass in the same redshift range. (abridged)
| astro-ph | we combine deep ubvrizjk photometry from the multiwavelength survey by yalechile musyc with redshifts from the combo17 survey to perform a largescale study of the restframe ultraviolet uv properties of 674 highredshift 05z1 earlytype galaxies drawn from the extended chandra deep field south ecdfs galaxy morphologies are determined through visual inspection of hubble space telescope hst images taken from the gems survey we harness the sensitivity of the uv to young 1 gyr old stars to quantify the recent star formation history of earlytype galaxies across a range of luminosities 235 mv 18 comparisons to simple stellar populations forming at high redshift indicate that only 11 percent of earlytypes in this sample are consistent with purely passive ageing since z2 parametrising the recent star formation rsf in terms of the mass fraction of stars less than a gyr old we find that the earlytype population as a whole shows a typical rsf between 5 and 13 in the redshift range 05z1 earlytypes on the uv red sequence show rsf values less than 5 while the reddest earlytypes are virtually quiescent with rsf values of 1 we find compelling evidence that earlytypes of all luminosities form stars over the lifetime of the universe although the bulk of their star formation is already complete at high redshift this tailend of star formation is measurable and not negligible with luminous 23mv205 earlytypes potentially forming 1015 of their mass since z1 with their less luminous mv205 counterparts potentially forming 3060 percent of their mass in the same redshift range abridged | [['we', 'combine', 'deep', 'ubvrizjk', 'photometry', 'from', 'the', 'multiwavelength', 'survey', 'by', 'yalechile', 'musyc', 'with', 'redshifts', 'from', 'the', 'combo17', 'survey', 'to', 'perform', 'a', 'largescale', 'study', 'of', 'the', 'restframe', 'ultraviolet', 'uv', 'properties', 'of', '674', 'highredshift', '05z1', 'earlytype', 'galaxies', 'drawn', 'from', 'the', 'extended', 'chandra', 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709.0807 | A SIMBOL-X View of Microquasars | Based on spectral simulations, I show how focusing of the X-ray radiations
above 10 keV will open a new window for the study of microquasars. With
simulations of soft and hard state spectra of Galactic sources, I discuss how
SIMBOL-X can help to precisely measure the spin of black holes. Spectral study
on short ~1 s time scales will also allow the accretion-ejection connections to
be accessed, and the formation of jets possibly witnessed in X-rays. I then
turn to external galaxies, and demonstrate that spectral studies of hard
sources will be possible up to at least ~1 Mpc. For such sources, subtle
spectral signatures (e.g. a reflection bump) will clearly be detected. I
finally discuss the implications that these original results will bring on the
physics of microquasars and black holes.
| astro-ph | based on spectral simulations i show how focusing of the xray radiations above 10 kev will open a new window for the study of microquasars with simulations of soft and hard state spectra of galactic sources i discuss how simbolx can help to precisely measure the spin of black holes spectral study on short 1 s time scales will also allow the accretionejection connections to be accessed and the formation of jets possibly witnessed in xrays i then turn to external galaxies and demonstrate that spectral studies of hard sources will be possible up to at least 1 mpc for such sources subtle spectral signatures eg a reflection bump will clearly be detected i finally discuss the implications that these original results will bring on the physics of microquasars and black holes | [['based', 'on', 'spectral', 'simulations', 'i', 'show', 'how', 'focusing', 'of', 'the', 'xray', 'radiations', 'above', '10', 'kev', 'will', 'open', 'a', 'new', 'window', 'for', 'the', 'study', 'of', 'microquasars', 'with', 'simulations', 'of', 'soft', 'and', 'hard', 'state', 'spectra', 'of', 'galactic', 'sources', 'i', 'discuss', 'how', 'simbolx', 'can', 'help', 'to', 'precisely', 'measure', 'the', 'spin', 'of', 'black', 'holes', 'spectral', 'study', 'on', 'short', '1', 's', 'time', 'scales', 'will', 'also', 'allow', 'the', 'accretionejection', 'connections', 'to', 'be', 'accessed', 'and', 'the', 'formation', 'of', 'jets', 'possibly', 'witnessed', 'in', 'xrays', 'i', 'then', 'turn', 'to', 'external', 'galaxies', 'and', 'demonstrate', 'that', 'spectral', 'studies', 'of', 'hard', 'sources', 'will', 'be', 'possible', 'up', 'to', 'at', 'least', '1', 'mpc', 'for', 'such', 'sources', 'subtle', 'spectral', 'signatures', 'eg', 'a', 'reflection', 'bump', 'will', 'clearly', 'be', 'detected', 'i', 'finally', 'discuss', 'the', 'implications', 'that', 'these', 'original', 'results', 'will', 'bring', 'on', 'the', 'physics', 'of', 'microquasars', 'and', 'black', 'holes']] | [-0.06379281907610482, 0.1421830792061166, -0.08116571000551409, 0.15085966433539535, -0.10101949686720742, -0.12699777216325994, 0.03892474558740629, 0.44064635924543394, -0.23142401375596158, -0.32523504102066386, 0.1225910913754805, -0.31752219197347364, -0.06185787934880478, 0.23331075434389553, -0.015038785275960849, -0.028930813983386157, 0.057663845088840884, -0.057185583135861, -0.06233588452706692, -0.22307955370651503, 0.34496115066223976, 0.11142390382574928, 0.15444798371754587, 0.08087921320017785, 0.04370917163253056, -0.056286691670362474, -0.0609185820530084, 0.02639194795593732, -0.13865239762713882, 0.0718587345027393, 0.2560737274735319, 0.1523516107871811, 0.21534555861900584, -0.4177925432185558, -0.23602201987170812, 0.07982670806461212, 0.1767928217427239, 0.027432242240827305, -0.05489917353031959, -0.2542564785901711, 0.10484989058353346, -0.163219763862082, -0.16658730031948918, -0.03840840204661204, 0.016590001389638266, 0.05709865103320529, -0.16863996608563783, 0.04384623151638538, 0.061066753155142636, -0.0372989919463483, -0.07668263434827553, -0.059721692555203015, 0.002743437000776105, 0.09089925830696964, 0.06673370350053477, 0.007625737656119533, 0.15748873102182354, -0.12427978071377077, -0.17032327373145204, 0.35662454803417803, -0.023161496343108767, -0.042554990226177106, 0.24282252815178115, -0.21974783657413244, -0.18835936809156203, 0.12170649791898375, 0.19966472910406688, 0.11899782821472565, -0.12191167611903934, 0.02119872141823483, 0.02273942066081376, 0.24175654430997162, 0.04497990388225651, 0.09388779342936521, 0.3130995833921726, 0.10732304039420067, 0.021116527238380953, 0.1361197027383076, -0.18614635242600786, 0.006485088664428049, -0.30461037122630374, -0.10628614073026586, -0.12799928937403654, 0.12980328089642254, -0.08472048275297946, -0.08304458540365114, 0.3968616521874951, 0.15947500382423063, 0.1967999666618804, -0.013569870331345803, 0.2422574397036387, 0.07553587173760841, 0.018006412194650198, 0.08508230807175013, 0.30313540271229367, 0.09590739749061565, 0.11251459980496403, -0.20664372852170895, -0.024895286420360208, -0.017761406894406362] |
709.0808 | Circular invasion of fluid into a quenched disordered media | The Hele-Shaw experiment is performed with a circular invasion to study the
scaling and dynamic behavior of the interface. We did not find any universal
power law. The time exponent varies with the range of scale, as has been
reported in the literature but not captured by existing models. We ascribe this
distinct difference from the planar injection to the fact that our interface
size grows with time. This renders the old geometries being constantly pushed
apart to leave rooms for new features. As a result, the amplitude of the
interface spectrum will decrease with the angular momentum, different from that
of a white noise commonly assumed for the planar injection. Due to the moving
boundary, the existing Kardar-Parisi-Zhang and Edwards-Wilkinson (EW) equations
can no longer be applied. We propose a modified EW equation that not only
conserves the fluid volume, but is also capable of predicting all the above
features. Two phenomenological coefficients are introduced to represent the
competing trend of instability and smoothness. Their dependence on the
microscopic parameters are determined from dimensional arguments, and their
estimated values conform with the experiments.
| cond-mat.dis-nn | the heleshaw experiment is performed with a circular invasion to study the scaling and dynamic behavior of the interface we did not find any universal power law the time exponent varies with the range of scale as has been reported in the literature but not captured by existing models we ascribe this distinct difference from the planar injection to the fact that our interface size grows with time this renders the old geometries being constantly pushed apart to leave rooms for new features as a result the amplitude of the interface spectrum will decrease with the angular momentum different from that of a white noise commonly assumed for the planar injection due to the moving boundary the existing kardarparisizhang and edwardswilkinson ew equations can no longer be applied we propose a modified ew equation that not only conserves the fluid volume but is also capable of predicting all the above features two phenomenological coefficients are introduced to represent the competing trend of instability and smoothness their dependence on the microscopic parameters are determined from dimensional arguments and their estimated values conform with the experiments | [['the', 'heleshaw', 'experiment', 'is', 'performed', 'with', 'a', 'circular', 'invasion', 'to', 'study', 'the', 'scaling', 'and', 'dynamic', 'behavior', 'of', 'the', 'interface', 'we', 'did', 'not', 'find', 'any', 'universal', 'power', 'law', 'the', 'time', 'exponent', 'varies', 'with', 'the', 'range', 'of', 'scale', 'as', 'has', 'been', 'reported', 'in', 'the', 'literature', 'but', 'not', 'captured', 'by', 'existing', 'models', 'we', 'ascribe', 'this', 'distinct', 'difference', 'from', 'the', 'planar', 'injection', 'to', 'the', 'fact', 'that', 'our', 'interface', 'size', 'grows', 'with', 'time', 'this', 'renders', 'the', 'old', 'geometries', 'being', 'constantly', 'pushed', 'apart', 'to', 'leave', 'rooms', 'for', 'new', 'features', 'as', 'a', 'result', 'the', 'amplitude', 'of', 'the', 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709.0809 | Group velocity control in the ultraviolet domain via interacting
dark-state resonances | The propagation of a weak probe field in a laser-driven four-level atomic
system is investigated. We choose mercury as our model system, where the probe
transition is in the ultraviolet region. A high-resolution peak appears in the
optical spectra due to the presence of interacting dark resonances. We show
that this narrow peak leads to superluminal light propagation with strong
absorption, and thus by itself is only of limited interest. But if in addition
a weak incoherent pump field is applied to the probe transition, then the peak
structure can be changed such that both sub- and superluminal light propagation
or a negative group velocity can be achieved without absorption, controlled by
the incoherent pumping strength.
| quant-ph | the propagation of a weak probe field in a laserdriven fourlevel atomic system is investigated we choose mercury as our model system where the probe transition is in the ultraviolet region a highresolution peak appears in the optical spectra due to the presence of interacting dark resonances we show that this narrow peak leads to superluminal light propagation with strong absorption and thus by itself is only of limited interest but if in addition a weak incoherent pump field is applied to the probe transition then the peak structure can be changed such that both sub and superluminal light propagation or a negative group velocity can be achieved without absorption controlled by the incoherent pumping strength | [['the', 'propagation', 'of', 'a', 'weak', 'probe', 'field', 'in', 'a', 'laserdriven', 'fourlevel', 'atomic', 'system', 'is', 'investigated', 'we', 'choose', 'mercury', 'as', 'our', 'model', 'system', 'where', 'the', 'probe', 'transition', 'is', 'in', 'the', 'ultraviolet', 'region', 'a', 'highresolution', 'peak', 'appears', 'in', 'the', 'optical', 'spectra', 'due', 'to', 'the', 'presence', 'of', 'interacting', 'dark', 'resonances', 'we', 'show', 'that', 'this', 'narrow', 'peak', 'leads', 'to', 'superluminal', 'light', 'propagation', 'with', 'strong', 'absorption', 'and', 'thus', 'by', 'itself', 'is', 'only', 'of', 'limited', 'interest', 'but', 'if', 'in', 'addition', 'a', 'weak', 'incoherent', 'pump', 'field', 'is', 'applied', 'to', 'the', 'probe', 'transition', 'then', 'the', 'peak', 'structure', 'can', 'be', 'changed', 'such', 'that', 'both', 'sub', 'and', 'superluminal', 'light', 'propagation', 'or', 'a', 'negative', 'group', 'velocity', 'can', 'be', 'achieved', 'without', 'absorption', 'controlled', 'by', 'the', 'incoherent', 'pumping', 'strength']] | [-0.1360946333352958, 0.20408340398440988, -0.0684130640844975, 0.04548796214231547, -0.07203927096220311, -0.17849425295094862, 0.04337651397220505, 0.4254632619819764, -0.29121460745127165, -0.2899675169108628, 0.04168681962945466, -0.2415864708078704, -0.08548697047055988, 0.18411759441268855, 0.011788682307363569, -0.028422268138142658, 0.02954188483799326, 0.020112198641009885, -0.010822934851227007, -0.1277110402107014, 0.2849656221685642, 0.044419664460041655, 0.2873521320168571, 0.07529239012490443, 0.0827397359896387, 0.0007579410850102531, 0.043633854885762234, 0.03316789408663994, -0.04065835481729852, 0.05077824679405051, 0.19527902235357283, 0.03730612383364571, 0.2439873917991745, -0.38957049442326713, -0.2676799763746736, 0.09148811120218758, 0.19510426623987612, 0.1455397194909767, -0.0765355912615256, -0.32483846080943074, 0.029682794312850154, -0.11901457995730291, -0.16137501020145056, -0.03859676917222557, -0.0064955068539410575, 0.013540370566449288, -0.2802393275603114, 0.05968248221926905, 0.026572156320165456, 0.029393021547203434, -0.029809762549120933, 0.025205446569778925, -0.0280343234751791, 0.06017137509931264, 0.018510622083779488, 0.042154155284214505, 0.17257432646824625, -0.165079161952784, -0.04904579827642261, 0.40955546543259047, -0.16615468602033395, -0.08907807738809236, 0.1840989138682148, -0.20226307619781564, -0.03385332258867806, 0.2058160383222175, 0.15363195233984353, 0.10509858334011495, -0.10889361370083925, 0.04885438847223072, -0.04189807205091648, 0.22146463185420323, 0.08755564631830001, 0.09678642723934147, 0.23079300632475522, 0.1389403360703125, 0.03602625751578859, 0.11617438308693918, -0.14162797547860778, -0.028480087617685182, -0.2758650129925909, -0.11596851614865891, -0.15877738637560657, 0.0752955802619971, -0.04177961525219244, -0.11095485861557697, 0.39616127376813953, 0.14612584533812156, 0.1975931363995187, -0.06657723505411232, 0.3158168391613611, 0.17960165078542997, 0.0521327750837623, 0.039944400878398324, 0.3634927829261869, 0.15935537142374007, 0.10290694864595244, -0.2589226197371067, 0.05348136132293991, -0.030142126665129488] |
709.081 | A Comparative Study of Stochastic Volatility Models | The correlated stochastic volatility models constitute a natural extension of
the Black and Scholes-Merton framework: here the volatility is not a constant,
but a stochastic process correlated with the price log-return one. At present,
several stochastic volatility models are discussed in the literature, differing
in the dynamics attached to the volatility. The aim of the present work is to
compare the most recent results about three popular models: the Vasicek, Heston
and exponential Ornstein-Uhlenbeck models. We analyzed for each of them the
theoretical results known in the literature (volatility and return
distribution, higher-order moments and different-time correlations) in order to
test their predictive effectiveness on the outcomes of original numerical
simulations, paying particular attention to their ability to reproduce
empirical statistical properties of prices. The numerical results demonstrate
that these models can be implemented maintaining all their features, especially
in view of financial applications like market risk management or option
pricing. In order to critically compare the models, we also perform an
empirical analysis of financial time series from the Italian stock market,
showing the exponential Ornstein-Uhlenbeck model's ability to capture the
stylized facts of volatility and log-return probability distributions.
| q-fin.ST physics.soc-ph | the correlated stochastic volatility models constitute a natural extension of the black and scholesmerton framework here the volatility is not a constant but a stochastic process correlated with the price logreturn one at present several stochastic volatility models are discussed in the literature differing in the dynamics attached to the volatility the aim of the present work is to compare the most recent results about three popular models the vasicek heston and exponential ornsteinuhlenbeck models we analyzed for each of them the theoretical results known in the literature volatility and return distribution higherorder moments and differenttime correlations in order to test their predictive effectiveness on the outcomes of original numerical simulations paying particular attention to their ability to reproduce empirical statistical properties of prices the numerical results demonstrate that these models can be implemented maintaining all their features especially in view of financial applications like market risk management or option pricing in order to critically compare the models we also perform an empirical analysis of financial time series from the italian stock market showing the exponential ornsteinuhlenbeck models ability to capture the stylized facts of volatility and logreturn probability distributions | [['the', 'correlated', 'stochastic', 'volatility', 'models', 'constitute', 'a', 'natural', 'extension', 'of', 'the', 'black', 'and', 'scholesmerton', 'framework', 'here', 'the', 'volatility', 'is', 'not', 'a', 'constant', 'but', 'a', 'stochastic', 'process', 'correlated', 'with', 'the', 'price', 'logreturn', 'one', 'at', 'present', 'several', 'stochastic', 'volatility', 'models', 'are', 'discussed', 'in', 'the', 'literature', 'differing', 'in', 'the', 'dynamics', 'attached', 'to', 'the', 'volatility', 'the', 'aim', 'of', 'the', 'present', 'work', 'is', 'to', 'compare', 'the', 'most', 'recent', 'results', 'about', 'three', 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709.0811 | Survival of icy grains in debris discs. The role of photosputtering | We put theoretical constraints on the presence and survival of icy grains in
debris discs. Particular attention is paid to UV sputtering of water ice, which
has so far not been studied in detail in this context. We present a
photosputtering model based on available experimental and theoretical studies.
We quantitatively estimate the erosion rate of icy and ice-silicate grains,
under the influence of both sublimation and photosputtering, as a function of
grain size, composition and distance from the star. The effect of erosion on
the grain's location is investigated through numerical simulations coupling the
grain size to its dynamical evolution. Our model predicts that photodesorption
efficiently destroy ice in optically thin discs, even far beyond the
sublimation snow line. For the reference case of beta Pictoris, we find that
only > 5mm grains can keep their icy component for the age of the system in the
50-150AU region. When taking into account the collisional reprocessing of
grains, we show that the water ice survival on grains improves (grains down to
~ 20 um might be partially icy). However, estimates of the amount of gas
photosputtering would produce on such a hypothetical population of big icy
grains lead to values for the OI column density that strongly exceed
observational constraints for beta Pic, thus ruling out the presence of a
significant amount of icy grains in this system. Erosion rates and icy grains
survival timescales are also given for a set of 11 other debris disc systems.
We show that, with the possible exception of M stars, photosputtering cannot be
neglected in calculations of icy grain lifetimes.
| astro-ph | we put theoretical constraints on the presence and survival of icy grains in debris discs particular attention is paid to uv sputtering of water ice which has so far not been studied in detail in this context we present a photosputtering model based on available experimental and theoretical studies we quantitatively estimate the erosion rate of icy and icesilicate grains under the influence of both sublimation and photosputtering as a function of grain size composition and distance from the star the effect of erosion on the grains location is investigated through numerical simulations coupling the grain size to its dynamical evolution our model predicts that photodesorption efficiently destroy ice in optically thin discs even far beyond the sublimation snow line for the reference case of beta pictoris we find that only 5mm grains can keep their icy component for the age of the system in the 50150au region when taking into account the collisional reprocessing of grains we show that the water ice survival on grains improves grains down to 20 um might be partially icy however estimates of the amount of gas photosputtering would produce on such a hypothetical population of big icy grains lead to values for the oi column density that strongly exceed observational constraints for beta pic thus ruling out the presence of a significant amount of icy grains in this system erosion rates and icy grains survival timescales are also given for a set of 11 other debris disc systems we show that with the possible exception of m stars photosputtering cannot be neglected in calculations of icy grain lifetimes | [['we', 'put', 'theoretical', 'constraints', 'on', 'the', 'presence', 'and', 'survival', 'of', 'icy', 'grains', 'in', 'debris', 'discs', 'particular', 'attention', 'is', 'paid', 'to', 'uv', 'sputtering', 'of', 'water', 'ice', 'which', 'has', 'so', 'far', 'not', 'been', 'studied', 'in', 'detail', 'in', 'this', 'context', 'we', 'present', 'a', 'photosputtering', 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'region', 'when', 'taking', 'into', 'account', 'the', 'collisional', 'reprocessing', 'of', 'grains', 'we', 'show', 'that', 'the', 'water', 'ice', 'survival', 'on', 'grains', 'improves', 'grains', 'down', 'to', '20', 'um', 'might', 'be', 'partially', 'icy', 'however', 'estimates', 'of', 'the', 'amount', 'of', 'gas', 'photosputtering', 'would', 'produce', 'on', 'such', 'a', 'hypothetical', 'population', 'of', 'big', 'icy', 'grains', 'lead', 'to', 'values', 'for', 'the', 'oi', 'column', 'density', 'that', 'strongly', 'exceed', 'observational', 'constraints', 'for', 'beta', 'pic', 'thus', 'ruling', 'out', 'the', 'presence', 'of', 'a', 'significant', 'amount', 'of', 'icy', 'grains', 'in', 'this', 'system', 'erosion', 'rates', 'and', 'icy', 'grains', 'survival', 'timescales', 'are', 'also', 'given', 'for', 'a', 'set', 'of', '11', 'other', 'debris', 'disc', 'systems', 'we', 'show', 'that', 'with', 'the', 'possible', 'exception', 'of', 'm', 'stars', 'photosputtering', 'can', 'not', 'be', 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709.0812 | Combinatorial aspects of boundary loop models | We discuss in this paper combinatorial aspects of boundary loop models, that
is models of self-avoiding loops on a strip where loops get different weights
depending on whether they touch the left, the right, both or no boundary. These
models are described algebraically by a generalization of the Temperley-Lieb
algebra, dubbed the two-boundary TL algebra. We give results for the dimensions
of TL representations and the corresponding degeneracies in the partition
functions. We interpret these results in terms of fusion and in the light of
the recently uncovered A_n large symmetry present in loop models, paving the
way for the analysis of the conformal field theory properties. Finally, we
propose conjectures for determinants of Gram matrices in all cases, including
the two-boundary one, which has recently been discussed by de Gier and Nichols.
| math-ph cond-mat.stat-mech math.MP math.RT | we discuss in this paper combinatorial aspects of boundary loop models that is models of selfavoiding loops on a strip where loops get different weights depending on whether they touch the left the right both or no boundary these models are described algebraically by a generalization of the temperleylieb algebra dubbed the twoboundary tl algebra we give results for the dimensions of tl representations and the corresponding degeneracies in the partition functions we interpret these results in terms of fusion and in the light of the recently uncovered a_n large symmetry present in loop models paving the way for the analysis of the conformal field theory properties finally we propose conjectures for determinants of gram matrices in all cases including the twoboundary one which has recently been discussed by de gier and nichols | [['we', 'discuss', 'in', 'this', 'paper', 'combinatorial', 'aspects', 'of', 'boundary', 'loop', 'models', 'that', 'is', 'models', 'of', 'selfavoiding', 'loops', 'on', 'a', 'strip', 'where', 'loops', 'get', 'different', 'weights', 'depending', 'on', 'whether', 'they', 'touch', 'the', 'left', 'the', 'right', 'both', 'or', 'no', 'boundary', 'these', 'models', 'are', 'described', 'algebraically', 'by', 'a', 'generalization', 'of', 'the', 'temperleylieb', 'algebra', 'dubbed', 'the', 'twoboundary', 'tl', 'algebra', 'we', 'give', 'results', 'for', 'the', 'dimensions', 'of', 'tl', 'representations', 'and', 'the', 'corresponding', 'degeneracies', 'in', 'the', 'partition', 'functions', 'we', 'interpret', 'these', 'results', 'in', 'terms', 'of', 'fusion', 'and', 'in', 'the', 'light', 'of', 'the', 'recently', 'uncovered', 'a_n', 'large', 'symmetry', 'present', 'in', 'loop', 'models', 'paving', 'the', 'way', 'for', 'the', 'analysis', 'of', 'the', 'conformal', 'field', 'theory', 'properties', 'finally', 'we', 'propose', 'conjectures', 'for', 'determinants', 'of', 'gram', 'matrices', 'in', 'all', 'cases', 'including', 'the', 'twoboundary', 'one', 'which', 'has', 'recently', 'been', 'discussed', 'by', 'de', 'gier', 'and', 'nichols']] | [-0.10958149936050177, 0.1256049543004693, -0.04894894845363565, 0.06336809787199013, -0.05158792114361448, -0.1451525649027829, -0.011007893870801743, 0.3540171477313441, -0.25045043367654424, -0.2404548652589153, 0.14439379152687812, -0.2535589716600296, -0.19308431912738747, 0.17806966096701982, -0.06511571763356433, 0.019681927621980806, 0.029472599145641227, 0.08880782186550866, -0.1087308082434929, -0.25964915390473026, 0.3645169660033259, 0.012096687048477562, 0.23185233227712543, 0.06275312127755549, 0.08795268940752463, -0.003624100017508394, -0.02301825778173717, -0.007098851841778685, -0.15608666312235933, 0.12588575567272878, 0.23284067001504058, 0.09345282306649576, 0.18002472910154751, -0.43357179018395736, -0.18136775008003628, 0.09802898643468332, 0.19161506982958312, 0.07677789032021608, -0.035268339326060764, -0.2778584141340247, 0.0820357937442797, -0.16775389350040404, -0.11737809535396054, -0.06890188699196044, 0.024795138447797557, -0.017804932535478945, -0.2260033951764156, 0.04898151810652107, 0.06821642419029224, 0.06856569875422533, -0.06928394546144102, -0.15708769165868766, -0.001194620025309181, 0.12115870261585858, 0.03073977903617, -0.027826250628813318, 0.0564601162450276, -0.17062460550954356, -0.1818013372213958, 0.335461344380856, 0.01229475038712564, -0.22502410585144744, 0.16742887208938487, -0.15808511267353156, -0.17470518217765188, 0.028241708993743685, 0.10988579253154926, 0.121266606883531, -0.10226997364788576, 0.17197859141135569, -0.09851438250861838, 0.0709808907756946, 0.0759946525734114, 0.005841570793426966, 0.20340264109628542, 0.09750045962628201, -0.011420679839741075, 0.1608564298971087, -0.030239835276471495, -0.08669711210365806, -0.33325896868692306, -0.1815616226531005, -0.09363418611561306, 0.026795114417795855, -0.10187500636095506, -0.2097277657682062, 0.4477993398764752, 0.1578744536669902, 0.2381638594293841, 0.05837080071074538, 0.1980899359498705, 0.12360710896817702, 0.10841166559970916, 0.051758634766801856, 0.18233856479672336, 0.1859745667946238, 0.05882827784775063, -0.17697944676681227, -0.01311038586107972, 0.17155295194308728] |
709.0813 | The night-sky at the Calar Alto Observatory | We present a characterization of the main properties of the night-sky at the
Calar Alto observatory for the time period between 2004 and 2007. We use
optical spectrophotometric data, photometric calibrated images taken in
moonless observing periods, together with the observing conditions regularly
monitored at the observatory, such as atmospheric extinction and seeing. We
derive, for the first time, the typical moonless night-sky optical spectrum for
the observatory. The spectrum shows a strong contamination by different
pollution lines, in particular from Mercury lines, which contribution to the
sky-brightness in the different bands is of the order of ~0.09 mag, ~0.16 mag
and ~0.10 mag in B, V and R respectively. The zenith-corrected values of the
moonless night-sky surface brightness are 22.39, 22.86, 22.01, 21.36 and 19.25
mag arcsec^-2 in U, B, V, R and I, which indicates that Calar Alto is a
particularly dark site for optical observations up to the I-band. The fraction
of astronomical useful nights at the observatory is ~70%, with a ~30% of
photometric nights. The typical extinction at the observatory is k_V~0.15 mag
in the Winter season, with little dispersion. In summer the extinction has a
wider range of values, although it does not reach the extreme peaks observed at
other sites. The median seeing for the last two years (2005-6) was ~0.90",
being smaller in the Summer (~0.87") than in the Winter (~0.96"). We conclude
in general that after 26 years of operations Calar Alto is still a good
astronomical site, being a natural candidate for future large aperture optical
telescopes.
| astro-ph | we present a characterization of the main properties of the nightsky at the calar alto observatory for the time period between 2004 and 2007 we use optical spectrophotometric data photometric calibrated images taken in moonless observing periods together with the observing conditions regularly monitored at the observatory such as atmospheric extinction and seeing we derive for the first time the typical moonless nightsky optical spectrum for the observatory the spectrum shows a strong contamination by different pollution lines in particular from mercury lines which contribution to the skybrightness in the different bands is of the order of 009 mag 016 mag and 010 mag in b v and r respectively the zenithcorrected values of the moonless nightsky surface brightness are 2239 2286 2201 2136 and 1925 mag arcsec2 in u b v r and i which indicates that calar alto is a particularly dark site for optical observations up to the iband the fraction of astronomical useful nights at the observatory is 70 with a 30 of photometric nights the typical extinction at the observatory is k_v015 mag in the winter season with little dispersion in summer the extinction has a wider range of values although it does not reach the extreme peaks observed at other sites the median seeing for the last two years 20056 was 090 being smaller in the summer 087 than in the winter 096 we conclude in general that after 26 years of operations calar alto is still a good astronomical site being a natural candidate for future large aperture optical telescopes | [['we', 'present', 'a', 'characterization', 'of', 'the', 'main', 'properties', 'of', 'the', 'nightsky', 'at', 'the', 'calar', 'alto', 'observatory', 'for', 'the', 'time', 'period', 'between', '2004', 'and', '2007', 'we', 'use', 'optical', 'spectrophotometric', 'data', 'photometric', 'calibrated', 'images', 'taken', 'in', 'moonless', 'observing', 'periods', 'together', 'with', 'the', 'observing', 'conditions', 'regularly', 'monitored', 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709.0814 | A Morphological and Statistical Analysis of Ansae in Barred Galaxies | Many barred galaxies show a set of symmetric enhancements at the ends of the
stellar bar, called {\it ansae}, or the ``handles'' of the bar. The ansa bars
have been in the literature for some decades, but their origin has still not
been specifically addressed, although, they could be related to the growth
process of bars. But even though ansae have been known for a long time, no
statistical analysis of their relative frequency of occurrence has been
performed yet. Similarly, there has been no study of the varieties in
morphology of ansae even though significant morphological variations are known
to characterise the features. In this paper, we make a quantitative analysis of
the occurrence of ansae in barred galaxies, making use of {\it The de
Vaucouleurs Atlas of Galaxies} by Buta and coworkers. We find that $\sim 40%$
of SB0's show ansae in their bars, thus confirming that ansae are common
features in barred lenticulars. The ansa frequency decreases dramatically with
later types, and hardly any ansae are found in galaxies of type Sb or later.
The bars in galaxies with ansae are stronger in the median than those in
galaxies without ansae, but the presence of inner and outer rings is not
related to the presence of ansae. Implications of these results and theories
for the possible origin of ansae are discussed briefly.
| astro-ph | many barred galaxies show a set of symmetric enhancements at the ends of the stellar bar called it ansae or the handles of the bar the ansa bars have been in the literature for some decades but their origin has still not been specifically addressed although they could be related to the growth process of bars but even though ansae have been known for a long time no statistical analysis of their relative frequency of occurrence has been performed yet similarly there has been no study of the varieties in morphology of ansae even though significant morphological variations are known to characterise the features in this paper we make a quantitative analysis of the occurrence of ansae in barred galaxies making use of it the de vaucouleurs atlas of galaxies by buta and coworkers we find that sim 40 of sb0s show ansae in their bars thus confirming that ansae are common features in barred lenticulars the ansa frequency decreases dramatically with later types and hardly any ansae are found in galaxies of type sb or later the bars in galaxies with ansae are stronger in the median than those in galaxies without ansae but the presence of inner and outer rings is not related to the presence of ansae implications of these results and theories for the possible origin of ansae are discussed briefly | [['many', 'barred', 'galaxies', 'show', 'a', 'set', 'of', 'symmetric', 'enhancements', 'at', 'the', 'ends', 'of', 'the', 'stellar', 'bar', 'called', 'it', 'ansae', 'or', 'the', 'handles', 'of', 'the', 'bar', 'the', 'ansa', 'bars', 'have', 'been', 'in', 'the', 'literature', 'for', 'some', 'decades', 'but', 'their', 'origin', 'has', 'still', 'not', 'been', 'specifically', 'addressed', 'although', 'they', 'could', 'be', 'related', 'to', 'the', 'growth', 'process', 'of', 'bars', 'but', 'even', 'though', 'ansae', 'have', 'been', 'known', 'for', 'a', 'long', 'time', 'no', 'statistical', 'analysis', 'of', 'their', 'relative', 'frequency', 'of', 'occurrence', 'has', 'been', 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709.0815 | Nonequilibrium Electron Interactions in Metal Films | Ultrafast relaxation dynamics of an athermal electron distribution is
investigated in silver films using a femtosecond pump-probe technique with 18
fs pulses in off-resonant conditions. The results yield evidence for an
increase with time of the electron-gas energy loss rate to the lattice and of
the free electron damping during the early stages of the electron-gas
thermalization. These effects are attributed to transient alterations of the
electron average scattering processes due to the athermal nature of the
electron gas, in agreement with numerical simulations.
| cond-mat.str-el | ultrafast relaxation dynamics of an athermal electron distribution is investigated in silver films using a femtosecond pumpprobe technique with 18 fs pulses in offresonant conditions the results yield evidence for an increase with time of the electrongas energy loss rate to the lattice and of the free electron damping during the early stages of the electrongas thermalization these effects are attributed to transient alterations of the electron average scattering processes due to the athermal nature of the electron gas in agreement with numerical simulations | [['ultrafast', 'relaxation', 'dynamics', 'of', 'an', 'athermal', 'electron', 'distribution', 'is', 'investigated', 'in', 'silver', 'films', 'using', 'a', 'femtosecond', 'pumpprobe', 'technique', 'with', '18', 'fs', 'pulses', 'in', 'offresonant', 'conditions', 'the', 'results', 'yield', 'evidence', 'for', 'an', 'increase', 'with', 'time', 'of', 'the', 'electrongas', 'energy', 'loss', 'rate', 'to', 'the', 'lattice', 'and', 'of', 'the', 'free', 'electron', 'damping', 'during', 'the', 'early', 'stages', 'of', 'the', 'electrongas', 'thermalization', 'these', 'effects', 'are', 'attributed', 'to', 'transient', 'alterations', 'of', 'the', 'electron', 'average', 'scattering', 'processes', 'due', 'to', 'the', 'athermal', 'nature', 'of', 'the', 'electron', 'gas', 'in', 'agreement', 'with', 'numerical', 'simulations']] | [-0.10885063335479658, 0.22452745315864117, -0.09861278471847375, 0.04413582261102939, 0.07020481660618402, -0.08599694512806655, 0.026425020381187398, 0.43002001863039496, -0.25005039060488343, -0.2880083058234526, 0.036721628579904235, -0.2953436712379612, -0.08014619823855658, 0.23061820502126856, 0.03833536001565378, 0.08249925482752067, 0.05854166943269471, -0.09204295275378085, -0.053488007735549695, -0.20732843895287564, 0.23966863325663976, 0.1479127100191406, 0.30345200645249515, 0.11629892469084423, 0.08994917276625831, 0.026383015723522044, 0.04109136722538443, -0.06509392365946301, -0.16750968629050822, 0.03061600482933933, 0.23215260657958597, -0.05323942352662839, 0.23788998422345944, -0.5285882784630216, -0.2586363650126649, 0.00872171611782895, 0.13610172062319525, 0.12800748178380586, -0.11261832162632518, -0.20224566506277325, 0.0012790102489470016, -0.1294833767516095, -0.13204837702436462, -0.02911500430976351, 0.005514844775288587, 0.060494694276712835, -0.29091859383819, 0.15593740101238446, 0.04597546246146694, 0.057992519450462646, -0.12609936824689308, -0.009239703638567812, -0.0174076181692293, 0.025472528574201056, 0.09363677720206656, 0.024771405905041666, 0.21646164204659207, -0.1376593014824071, -0.13231015204274582, 0.3671566721972167, -0.08472957578764874, -0.07198921728524424, 0.2224644699156107, -0.20242482969271286, -0.0072929783491417766, 0.27154123355146675, 0.1276994956369024, 0.10297785966014046, -0.16007078415159845, -0.004208707162650258, 0.030590709165803025, 0.20789624850398727, 0.08446971616996009, 0.10172596476184567, 0.18311127663833932, 0.2266889184025959, -0.030382199013339623, 0.1256298555506094, -0.1438782816500558, -0.06280169565053213, -0.22398218402772077, -0.11307370066199274, -0.17970530215894714, 0.10476805319056093, -0.05898405023600346, -0.12553849230365208, 0.37913662079344723, 0.118185964429618, 0.16563972325751647, -0.03881007665768266, 0.2588168302373517, 0.14308849757071584, 0.013004652795470542, 0.018554237518747824, 0.2494953035687407, 0.1600027896208866, 0.09178721112021733, -0.3797379724537244, 0.07273851171512866, -0.006521725677885115] |
709.0816 | Noncommutative Quantum Mechanics Viewed from Feynman Formalism | Dyson published in 1990 a proof due to Feynman of the Maxwell equations. This
proof is based on the assumption of simple commutation relations between
position and velocity. We first study a nonrelativistic particle using Feynman
formalism. We show that Poincar\'{e}'s magnetic angular momentum and Dirac
magnetic monopole are the direct consequences of the structure of the sO(3) Lie
algebra in Feynman formalism. Then we show how to extend this formalism to the
dual momentum space with the aim of introducing Noncommutative Quantum
Mechanics which was recently the subject of a wide range of works from particle
physics to condensed matter physics.
| hep-th | dyson published in 1990 a proof due to feynman of the maxwell equations this proof is based on the assumption of simple commutation relations between position and velocity we first study a nonrelativistic particle using feynman formalism we show that poincares magnetic angular momentum and dirac magnetic monopole are the direct consequences of the structure of the so3 lie algebra in feynman formalism then we show how to extend this formalism to the dual momentum space with the aim of introducing noncommutative quantum mechanics which was recently the subject of a wide range of works from particle physics to condensed matter physics | [['dyson', 'published', 'in', '1990', 'a', 'proof', 'due', 'to', 'feynman', 'of', 'the', 'maxwell', 'equations', 'this', 'proof', 'is', 'based', 'on', 'the', 'assumption', 'of', 'simple', 'commutation', 'relations', 'between', 'position', 'and', 'velocity', 'we', 'first', 'study', 'a', 'nonrelativistic', 'particle', 'using', 'feynman', 'formalism', 'we', 'show', 'that', 'poincares', 'magnetic', 'angular', 'momentum', 'and', 'dirac', 'magnetic', 'monopole', 'are', 'the', 'direct', 'consequences', 'of', 'the', 'structure', 'of', 'the', 'so3', 'lie', 'algebra', 'in', 'feynman', 'formalism', 'then', 'we', 'show', 'how', 'to', 'extend', 'this', 'formalism', 'to', 'the', 'dual', 'momentum', 'space', 'with', 'the', 'aim', 'of', 'introducing', 'noncommutative', 'quantum', 'mechanics', 'which', 'was', 'recently', 'the', 'subject', 'of', 'a', 'wide', 'range', 'of', 'works', 'from', 'particle', 'physics', 'to', 'condensed', 'matter', 'physics']] | [-0.09541122479291231, 0.16305169224848642, -0.14915381026837757, 0.06915792940965142, -0.17236537740145827, -0.05325214135204898, -0.0025738191211084815, 0.30057821490381864, -0.24738408188682562, -0.33353952867179815, -0.01980739145987101, -0.2209132291084411, -0.17427946560486568, 0.17947459059502638, -0.041132401227585824, 0.0324155859987014, 0.023821010783899064, 0.03825032496916167, -0.1394039073333546, -0.2091268981811499, 0.3524654132916647, 0.040518316918500136, 0.24362703521882056, 0.07079665712080896, 0.13838428089522994, 0.06812228072507709, -0.05708996977602296, 0.011547090302794423, -0.159536472976327, 0.10044215803317652, 0.20089192438058043, 0.05767166159371389, 0.21608840205076643, -0.40905675480105713, -0.16073875931803794, 0.07080917191856048, 0.11826026099551395, 0.13304390630333265, -0.035886962707474025, -0.2980902167402354, 0.004206775523283903, -0.19917484217633805, -0.16498881272569882, -0.078218681893001, 0.03446741752764758, -0.02198842261214832, -0.17522222422549555, 0.07354529886780416, 0.07783364017914031, 0.06013260407409832, -0.06850562356503717, -0.0791736725927787, -0.0193513078505502, 0.045823728090480846, 0.032163059544366074, 0.029687725885214247, 0.11815904145695123, -0.12628248222994015, -0.15365781194037376, 0.41430519072010236, -0.013721707423089766, -0.23247967254114793, 0.14479236724996464, -0.1848447124345922, -0.16591425318563102, 0.0689329629690916, 0.12215467711326246, 0.12804478210369674, -0.16679615049917415, 0.18569905196622416, -0.08094898646003475, 0.08364809149255355, 0.0807335600393879, 0.019027412974038253, 0.2182475119445692, 0.10278558013412882, -0.003938375570464368, 0.11576912931495291, -0.05865989813316321, -0.17587198692547412, -0.3610835769670267, -0.19620410939512345, -0.19817132855235947, 0.1027598540257553, -0.05535300125598488, -0.147664080748298, 0.3720657579993427, 0.18020765153764218, 0.15882362167444536, 0.019685969164129347, 0.26972657897710506, 0.15164733893584972, 0.06767285327591441, 0.045021855696926225, 0.26417555537659165, 0.2564138105120875, 0.14443428537297046, -0.2146745387113233, -0.09397014878306757, 0.1604931090282751] |
709.0817 | Competition between final-state and pairing-gap effects in the
radio-frequency spectra of ultracold Fermi atoms | The radio-frequency spectra of ultracold Fermi atoms are calculated by
including final-state interactions affecting the excited level of the
transition, and compared with the experimental data. A competition is revealed
between pairing-gap effects which tend to push the oscillator strength toward
high frequencies away from threshold, and final-state effects which tend
instead to pull the oscillator strength toward threshold. As a result of this
competition, the position of the peak of the spectra cannot be simply related
to the value of the pairing gap, whose extraction thus requires support from
theoretical calculations.
| cond-mat.supr-con cond-mat.other | the radiofrequency spectra of ultracold fermi atoms are calculated by including finalstate interactions affecting the excited level of the transition and compared with the experimental data a competition is revealed between pairinggap effects which tend to push the oscillator strength toward high frequencies away from threshold and finalstate effects which tend instead to pull the oscillator strength toward threshold as a result of this competition the position of the peak of the spectra cannot be simply related to the value of the pairing gap whose extraction thus requires support from theoretical calculations | [['the', 'radiofrequency', 'spectra', 'of', 'ultracold', 'fermi', 'atoms', 'are', 'calculated', 'by', 'including', 'finalstate', 'interactions', 'affecting', 'the', 'excited', 'level', 'of', 'the', 'transition', 'and', 'compared', 'with', 'the', 'experimental', 'data', 'a', 'competition', 'is', 'revealed', 'between', 'pairinggap', 'effects', 'which', 'tend', 'to', 'push', 'the', 'oscillator', 'strength', 'toward', 'high', 'frequencies', 'away', 'from', 'threshold', 'and', 'finalstate', 'effects', 'which', 'tend', 'instead', 'to', 'pull', 'the', 'oscillator', 'strength', 'toward', 'threshold', 'as', 'a', 'result', 'of', 'this', 'competition', 'the', 'position', 'of', 'the', 'peak', 'of', 'the', 'spectra', 'can', 'not', 'be', 'simply', 'related', 'to', 'the', 'value', 'of', 'the', 'pairing', 'gap', 'whose', 'extraction', 'thus', 'requires', 'support', 'from', 'theoretical', 'calculations']] | [-0.08805880063183365, 0.20131503920864455, -0.058821131828896984, 0.03563939610255822, -0.04265150231539562, -0.12724019327671618, 0.11316122856336616, 0.3481313844201385, -0.2541907411769673, -0.3230904721684994, 0.004659349188929604, -0.33132693013276465, -0.054339987245859, 0.1714668004718479, 0.05447914477397678, -0.005138212209066717, 0.04955053288659822, 0.027761049788965975, -0.04149667040434896, -0.13768999700269272, 0.3453574768638098, 0.1297717173233308, 0.28702464718772197, 0.11258940875370016, 0.013280294521371283, -0.012247223992862048, 0.025714649578496333, -0.0034421576908038507, -0.08160613661491743, 0.10073461603894028, 0.25231595292201725, 0.010252265394815514, 0.2471602211596184, -0.4089240127553542, -0.1763112222042275, 0.08514116930034292, 0.16157298323307787, 0.15841365685956854, -0.007783086279467229, -0.3274306899477397, 0.012732137455254472, -0.1593515618694245, -0.14135292535447466, -0.05517219435123186, 0.00012763654212317159, 0.0705964062162625, -0.25019919650969646, 0.07013018343157025, 0.04700278974719025, 0.05846772057694941, -0.08384359121743229, -0.14782031484809455, -0.0675050675097893, 0.13988931748705605, 0.06143993136513057, 0.05598849174472684, 0.1739006937751847, -0.15554434675673243, -0.08747979066264565, 0.4093370086924043, -0.06594574789802034, -0.12144355273615288, 0.20199612474008913, -0.16866665917839255, -0.05354880140493474, 0.1736765959530428, 0.1532631819837436, 0.04314856417727486, -0.07956950006986498, 0.005440114790784015, 0.05953871810768721, 0.17114269768603907, 0.04707463868262787, 0.053941498044878244, 0.22863412780627126, 0.11445939849801762, 0.02016366808424874, 0.13509605519388432, -0.13498199846650605, -0.09418934087709634, -0.26671812084493457, -0.04679344126063409, -0.18430180081056172, 0.03501292426775645, -0.02027603577771124, -0.12708302482097944, 0.38760277197285686, 0.13736070687031393, 0.2585940852921496, 0.014651839023015352, 0.2792209687903123, 0.14720057311933488, 0.0980541191955087, 0.005565691468936782, 0.3268375048784399, 0.1396697749538968, 0.06932777769222695, -0.28578452301281754, 0.08291204443441764, 0.007786815154856892] |
709.0818 | SPH simulations of the chemical evolution of bulges | We have implemented a chemical evolution model on the parallel AP3M+SPH DEVA
code which we use to perform high resolution simulations of spiral galaxy
formation. It includes feedback by SNII and SNIa using the Qij matrix
formalism. We also include a diffusion mechanism that spreads newly introduced
metals. The gas cooling rate depends on its specific composition. We study the
stellar populations of the resulting bulges finding a potential scenario where
they seem to be composed of two populations: an old, metal poor,
$\alpha$-enriched population, formed in a multiclump scenario at the beginning
of the simulation and a younger one, formed by slow accretion of satellites or
gas, possibly from the disk due to instabilities.
| astro-ph | we have implemented a chemical evolution model on the parallel ap3msph deva code which we use to perform high resolution simulations of spiral galaxy formation it includes feedback by snii and snia using the qij matrix formalism we also include a diffusion mechanism that spreads newly introduced metals the gas cooling rate depends on its specific composition we study the stellar populations of the resulting bulges finding a potential scenario where they seem to be composed of two populations an old metal poor alphaenriched population formed in a multiclump scenario at the beginning of the simulation and a younger one formed by slow accretion of satellites or gas possibly from the disk due to instabilities | [['we', 'have', 'implemented', 'a', 'chemical', 'evolution', 'model', 'on', 'the', 'parallel', 'ap3msph', 'deva', 'code', 'which', 'we', 'use', 'to', 'perform', 'high', 'resolution', 'simulations', 'of', 'spiral', 'galaxy', 'formation', 'it', 'includes', 'feedback', 'by', 'snii', 'and', 'snia', 'using', 'the', 'qij', 'matrix', 'formalism', 'we', 'also', 'include', 'a', 'diffusion', 'mechanism', 'that', 'spreads', 'newly', 'introduced', 'metals', 'the', 'gas', 'cooling', 'rate', 'depends', 'on', 'its', 'specific', 'composition', 'we', 'study', 'the', 'stellar', 'populations', 'of', 'the', 'resulting', 'bulges', 'finding', 'a', 'potential', 'scenario', 'where', 'they', 'seem', 'to', 'be', 'composed', 'of', 'two', 'populations', 'an', 'old', 'metal', 'poor', 'alphaenriched', 'population', 'formed', 'in', 'a', 'multiclump', 'scenario', 'at', 'the', 'beginning', 'of', 'the', 'simulation', 'and', 'a', 'younger', 'one', 'formed', 'by', 'slow', 'accretion', 'of', 'satellites', 'or', 'gas', 'possibly', 'from', 'the', 'disk', 'due', 'to', 'instabilities']] | [-0.08784518330711373, 0.11202712837374358, -0.08751627128679372, 0.09633930347419144, -0.04451790014198715, -0.0910191015323757, 0.06346780176058278, 0.3855497784180833, -0.23534314045017318, -0.31892626652344397, 0.0663862472980067, -0.24898033410447948, -0.07574809805165776, 0.18835144686662325, -0.015770564047020992, -0.06948553460668856, 0.05910497814017747, -0.08713924613922634, -0.05298340205445129, -0.2901022491984934, 0.3414675673120655, 0.10401058192863795, 0.1668985296128085, -0.05169143676591505, 0.06413206652671631, -0.09434123158072387, -0.04012047973394926, -0.02041261444329783, -0.15912019296885255, 0.04565760433615651, 0.16188983722947473, 0.11754543515520968, 0.25452100435671, -0.449459110918854, -0.24063857376209594, 0.06663239713816438, 0.20000079985142552, 0.11915716693017332, -0.14402035688025144, -0.19797923934778996, 0.03733085546887845, -0.23177918257819588, -0.15849312214413658, 0.05250956630126374, -0.025946988596842857, 0.01340298316136211, -0.2433464498691527, 0.1373061750260344, 0.03857413700981332, 0.04526870750955173, -0.07154017714700396, -0.07069281337317079, -0.0731379815551918, 0.08604957186928784, -0.009261345636332408, 0.026686001645949937, 0.2074154669285885, -0.1130073885391799, -0.03484713958459906, 0.39315334727455464, -0.06636167522395096, -0.10021267933604706, 0.28679814308998175, -0.18138348881205144, -0.11952852800355426, 0.11658653103846259, 0.19214117207489576, 0.11168361147117269, -0.1453644025605172, 0.0065914758753414, -0.007197897690015712, 0.15974251945070655, 0.03138819754323257, 0.00767343523758817, 0.3039241300762764, 0.1806164376009422, -0.02058169554844166, 0.09444596781291434, -0.10996830200435527, -0.10538490875374659, -0.1955213323568127, -0.10685330399509699, -0.1314744496152603, 0.06626923876215837, -0.08262717843561924, -0.1688508033236888, 0.3377328311991213, 0.10457583384634615, 0.22395772961941215, -0.006445378077582323, 0.305473147473614, 0.07169227024756505, 0.1304024819775285, 0.11253464130485165, 0.21635222289478406, 0.1755897005454504, 0.07803301490743511, -0.27957810860867277, 0.1208701747174408, 0.01463641841629786] |
709.0819 | Spin-gravity coupling and gravity-induced quantum phases | External gravitational fields induce phase factors in the wave functions of
particles. The phases are exact to first order in the background gravitational
field, are manifestly covariant and gauge invariant and provide a useful tool
for the study of spin-gravity coupling and of the optics of particles in
gravitational or inertial fields. We discuss the role that spin-gravity
coupling plays in particular problems.
| gr-qc | external gravitational fields induce phase factors in the wave functions of particles the phases are exact to first order in the background gravitational field are manifestly covariant and gauge invariant and provide a useful tool for the study of spingravity coupling and of the optics of particles in gravitational or inertial fields we discuss the role that spingravity coupling plays in particular problems | [['external', 'gravitational', 'fields', 'induce', 'phase', 'factors', 'in', 'the', 'wave', 'functions', 'of', 'particles', 'the', 'phases', 'are', 'exact', 'to', 'first', 'order', 'in', 'the', 'background', 'gravitational', 'field', 'are', 'manifestly', 'covariant', 'and', 'gauge', 'invariant', 'and', 'provide', 'a', 'useful', 'tool', 'for', 'the', 'study', 'of', 'spingravity', 'coupling', 'and', 'of', 'the', 'optics', 'of', 'particles', 'in', 'gravitational', 'or', 'inertial', 'fields', 'we', 'discuss', 'the', 'role', 'that', 'spingravity', 'coupling', 'plays', 'in', 'particular', 'problems']] | [-0.22450895295552317, 0.23464973018105542, -0.08187839052536422, 0.10069358354759594, -0.06587023934763339, -0.05313444554450966, -0.06613724310660646, 0.34460168994135326, -0.19541162488952515, -0.2895200583078558, 0.028556551414704513, -0.21932845174645385, -0.19290503509534848, 0.17315552619818067, 0.05838092305653152, 0.025338494884116308, -0.017090066616970396, 0.03941993691472499, -0.05378838901644543, -0.17669722034285465, 0.37670935014824547, 0.06720311664754436, 0.21961579810354917, 0.06333687183787189, 0.13411564746546367, 0.03873972520823517, -0.04317325143705285, 0.011695882748989831, -0.10486067886640307, 0.05444645033114486, 0.22177652985094085, 0.05285591961786387, 0.19843139245160044, -0.4658730433337272, -0.21767810124549128, 0.11026291785732148, 0.10563018797926368, 0.17888390739995336, -0.10482935877270291, -0.31929041099335465, 0.0013526440376327152, -0.12978481412643478, -0.1639991981321059, -0.11415237448148666, 0.03402834600170276, 0.023505845968241967, -0.30955964102158473, 0.10594783909618855, 0.04221404911044778, 0.023715279201814342, -0.06578367438522123, -0.042777689853830944, 0.03655811117607213, 0.13587007638702672, 0.13734813457325337, 0.09898441336265514, 0.17402984832398713, -0.22404342177250083, -0.1071428604690092, 0.4577278676073229, -0.09429371505717023, -0.22358765538841013, 0.1758815332774132, -0.1526649241404523, -0.14214594134440026, 0.10349739252752255, 0.22538369695936877, 0.11453912280026883, -0.1310973492495361, 0.1637448968988518, 0.0530129838737175, 0.10197736856911982, 0.07411050588069927, 0.13443860060550153, 0.28670979305983535, 0.06513484413292081, 0.038600766772611275, 0.13726174454426482, -0.029001643363800313, -0.08552853488141582, -0.37408065523893114, -0.19043806254945045, -0.10342238003033258, -0.0034229739394504577, -0.11161147308510928, -0.16076151399858415, 0.38253930362591904, 0.1708456328903724, 0.07439554478263571, -0.03193944022946414, 0.23442193759339197, 0.11934284510142687, 0.04772745862987543, 0.01742959331484541, 0.3784103413363771, 0.21159050193807435, 0.08779358128196604, -0.23365778263865244, -0.06478592435578032, 0.08888772645935653] |
709.082 | Astrometry of Galactic Star Forming Region Sharpless 269 with VERA :
Parallax Measurements and Constraint on Outer Rotation Curve | We have performed high-precision astrometry of H2O maser sources in Galactic
star forming region Sharpless 269 (S269) with VERA. We have successfully
detected a trigonometric parallax of 189+/-8 micro-arcsec, corresponding to the
source distance of 5.28 +0.24/-0.22 kpc. This is the smallest parallax ever
measured, and the first one detected beyond 5 kpc. The source distance as well
as proper motions are used to constrain the outer rotation curve of the Galaxy,
demonstrating that the difference of rotation velocities at the Sun and at S269
(which is 13.1 kpc away from the Galaxy's center) is less than 3%. This gives
the strongest constraint on the flatness of the outer rotation curve and
provides a direct confirmation on the existence of large amount of dark matter
in the Galaxy's outer disk.
| astro-ph | we have performed highprecision astrometry of h2o maser sources in galactic star forming region sharpless 269 s269 with vera we have successfully detected a trigonometric parallax of 1898 microarcsec corresponding to the source distance of 528 024022 kpc this is the smallest parallax ever measured and the first one detected beyond 5 kpc the source distance as well as proper motions are used to constrain the outer rotation curve of the galaxy demonstrating that the difference of rotation velocities at the sun and at s269 which is 131 kpc away from the galaxys center is less than 3 this gives the strongest constraint on the flatness of the outer rotation curve and provides a direct confirmation on the existence of large amount of dark matter in the galaxys outer disk | [['we', 'have', 'performed', 'highprecision', 'astrometry', 'of', 'h2o', 'maser', 'sources', 'in', 'galactic', 'star', 'forming', 'region', 'sharpless', '269', 's269', 'with', 'vera', 'we', 'have', 'successfully', 'detected', 'a', 'trigonometric', 'parallax', 'of', '1898', 'microarcsec', 'corresponding', 'to', 'the', 'source', 'distance', 'of', '528', '024022', 'kpc', 'this', 'is', 'the', 'smallest', 'parallax', 'ever', 'measured', 'and', 'the', 'first', 'one', 'detected', 'beyond', '5', 'kpc', 'the', 'source', 'distance', 'as', 'well', 'as', 'proper', 'motions', 'are', 'used', 'to', 'constrain', 'the', 'outer', 'rotation', 'curve', 'of', 'the', 'galaxy', 'demonstrating', 'that', 'the', 'difference', 'of', 'rotation', 'velocities', 'at', 'the', 'sun', 'and', 'at', 's269', 'which', 'is', '131', 'kpc', 'away', 'from', 'the', 'galaxys', 'center', 'is', 'less', 'than', '3', 'this', 'gives', 'the', 'strongest', 'constraint', 'on', 'the', 'flatness', 'of', 'the', 'outer', 'rotation', 'curve', 'and', 'provides', 'a', 'direct', 'confirmation', 'on', 'the', 'existence', 'of', 'large', 'amount', 'of', 'dark', 'matter', 'in', 'the', 'galaxys', 'outer', 'disk']] | [-0.10145602951389412, 0.04775945312260513, -0.09463521598104131, 0.03006280331724403, -0.12941029188836844, -0.047200794586218724, 0.04120912632089137, 0.3804548468960579, -0.2094682531743563, -0.37310366466814693, 0.09139469221718031, -0.29382146772199363, 0.04980938843552514, 0.2241320706571835, -0.033114611765219966, -0.0242064279655731, 0.053507822892419246, -0.006827381966534511, -0.06717684336887426, -0.20022167214156353, 0.2265332929353237, 0.08249638464672729, 0.11186968713507865, -0.012585784128123476, 0.11276106546856751, -0.11480546243084494, -0.08499705800136854, -0.04860508721682799, -0.1658433626405105, 0.10588760221694675, 0.1925467638869214, 0.12668657036093894, 0.1905139575318917, -0.29529925526025913, -0.1974054835014796, 0.06122075569953105, 0.1668787399458504, 0.045962781633625834, -0.010526323288520293, -0.32245273771154326, 0.08553501014492128, -0.16525602161653283, -0.22186305839568377, 0.10885510590764903, 0.10731212848927392, -0.009312181296765573, -0.16260786675450992, 0.16120877163484693, 0.010176501439905963, 0.14912230972662682, -0.0897805921610647, -0.14462455146216838, -0.06443592131249751, 0.11488361892384268, 0.008228345158195859, 0.14480600832752133, 0.17390387761948067, -0.06596512320386462, -0.03427602583542466, 0.43273428397238717, -0.08223086635118744, -0.03161705937958503, 0.1917300750970725, -0.2496642335281931, -0.15118479192285805, 0.15553685544643464, 0.16013422347388642, 0.10249440883315175, -0.15033696319676879, -0.006831001701075295, -0.05100279219823983, 0.22398869859329026, 0.10310328584669749, 0.053463763108069995, 0.31258837977611975, 0.08358310231516614, 0.13031791344775942, 0.07719233795159403, -0.3099797108181745, -0.048609084163633604, -0.2920859140062401, -0.09315458053990101, -0.1334900465367954, 0.056700935379724746, -0.13736538434716558, -0.05429199659528415, 0.31895507749733193, 0.07595894205232345, 0.20975724798302317, 0.03012089507542406, 0.2942094885736935, 0.0410686626781298, 0.1293504292798741, 0.1447921893775983, 0.38364807176295407, 0.19797716007835064, 0.0536558141015008, -0.2548074681228821, 0.07627525951626689, 0.00581080034418508] |
709.0821 | Random colourings of aperiodic graphs: Ergodic and spectral properties | We study randomly coloured graphs embedded into Euclidean space, whose vertex
sets are infinite, uniformly discrete subsets of finite local complexity. We
construct the appropriate ergodic dynamical systems, explicitly characterise
ergodic measures, and prove an ergodic theorem. For covariant operators of
finite range defined on those graphs, we show the existence and self-averaging
of the integrated density of states, as well as the non-randomness of the
spectrum. Our main result establishes Lifshits tails at the lower spectral edge
of the graph Laplacian on bond percolation subgraphs, for sufficiently small
probabilities. Among other assumptions, its proof requires exponential decay of
the cluster-size distribution for percolation on rather general graphs.
| math.SP math-ph math.MP math.PR | we study randomly coloured graphs embedded into euclidean space whose vertex sets are infinite uniformly discrete subsets of finite local complexity we construct the appropriate ergodic dynamical systems explicitly characterise ergodic measures and prove an ergodic theorem for covariant operators of finite range defined on those graphs we show the existence and selfaveraging of the integrated density of states as well as the nonrandomness of the spectrum our main result establishes lifshits tails at the lower spectral edge of the graph laplacian on bond percolation subgraphs for sufficiently small probabilities among other assumptions its proof requires exponential decay of the clustersize distribution for percolation on rather general graphs | [['we', 'study', 'randomly', 'coloured', 'graphs', 'embedded', 'into', 'euclidean', 'space', 'whose', 'vertex', 'sets', 'are', 'infinite', 'uniformly', 'discrete', 'subsets', 'of', 'finite', 'local', 'complexity', 'we', 'construct', 'the', 'appropriate', 'ergodic', 'dynamical', 'systems', 'explicitly', 'characterise', 'ergodic', 'measures', 'and', 'prove', 'an', 'ergodic', 'theorem', 'for', 'covariant', 'operators', 'of', 'finite', 'range', 'defined', 'on', 'those', 'graphs', 'we', 'show', 'the', 'existence', 'and', 'selfaveraging', 'of', 'the', 'integrated', 'density', 'of', 'states', 'as', 'well', 'as', 'the', 'nonrandomness', 'of', 'the', 'spectrum', 'our', 'main', 'result', 'establishes', 'lifshits', 'tails', 'at', 'the', 'lower', 'spectral', 'edge', 'of', 'the', 'graph', 'laplacian', 'on', 'bond', 'percolation', 'subgraphs', 'for', 'sufficiently', 'small', 'probabilities', 'among', 'other', 'assumptions', 'its', 'proof', 'requires', 'exponential', 'decay', 'of', 'the', 'clustersize', 'distribution', 'for', 'percolation', 'on', 'rather', 'general', 'graphs']] | [-0.14188255536956368, 0.17239514998867958, -0.08735774480306578, 0.14311564309281055, -0.019827806897444167, -0.10416459665672544, 0.07005679892932272, 0.36774507718574667, -0.25899038605254004, -0.2251108712301141, 0.10087968856398086, -0.29579711660604785, -0.10343425869251843, 0.12554712550007496, -0.06806491878685644, 0.0847875003145654, 0.05446200895433625, 0.07651855684040736, -0.023759054705604084, -0.216002786115159, 0.3664722806705093, -0.04480540622198195, 0.2544070521080694, 0.08155333350791975, 0.07394273708902162, 0.05573866260776952, -0.05677327829633012, 0.026209556768999727, -0.19171149590639053, 0.10212194004270714, 0.22860772163753776, 0.09173580579658004, 0.2307916144965458, -0.38685240796594705, -0.2185858575006326, 0.20024894448902664, 0.14698490532140973, 0.04411587450896251, 0.014038044145477383, -0.30649382217476767, 0.1227129408184232, -0.12995059239781565, -0.16274536683448348, -0.04268105463900914, 0.04380801028175348, 0.0789964657246687, -0.2603469105799579, 0.05777929864685844, 0.13692451616360038, 0.0639491620965634, -0.03687498010630305, -0.1327092823113263, -0.04316512901439435, 0.12741619827122325, -0.021245740086737054, -0.03428315560881014, 0.12570536254336023, -0.04091283099518882, -0.14606994602676154, 0.32624607433401115, -0.05525607324563208, -0.18402794253779575, 0.17585923640850792, -0.17778395249128895, -0.19178355807283273, 0.1082302417381908, 0.15550085409820355, 0.12111280089313234, -0.10713342208139322, 0.1592240818955125, -0.075239933342716, 0.09959668265138236, 0.07081247043054274, 0.11206566787991, 0.11888505337345931, 0.11496905788899986, 0.186204182359183, 0.19603534259335398, 0.018328037549508736, -0.14106486311734276, -0.32847066565106314, -0.08146642745231036, -0.270798656804901, 0.09209378670763087, -0.2241258997234615, -0.27385075607647497, 0.3852139303969495, 0.062219293274985696, 0.18951254454441369, 0.1917888465945402, 0.19753962134752698, 0.12923566107444154, 0.005221405195900136, 0.1172730097866103, 0.10535396856505906, 0.19907106153873932, -0.0008342687387657524, -0.15569548139831535, 0.06706513033498561, 0.15776940447890578] |
709.0822 | Supersymmetric lattice models in one and two dimensions | We study and simulate N=2 supersymmetric Wess-Zumino models in one and two
dimensions. For any choice of the lattice derivative, the theories can be made
manifestly supersymmetric by adding appropriate improvement terms corresponding
to discretizations of surface integrals. In particular, we check that fermionic
and bosonic masses coincide and the unbroken Ward identities are fulfilled to
high accuracy. Equally good results for the effective masses can be obtained in
a model with the SLAC derivative (even without improvement terms). In two
dimensions we introduce a non-standard Wilson term in such a way that the
discretization errors of the kinetic terms are only of order a squared. Masses
extracted from the corresponding manifestly supersymmetric model prove to
approach their continuum values much quicker than those from a model containing
the standard Wilson term. Again, a comparable enhancement can be achieved in a
theory using the SLAC derivative.
| hep-lat | we study and simulate n2 supersymmetric wesszumino models in one and two dimensions for any choice of the lattice derivative the theories can be made manifestly supersymmetric by adding appropriate improvement terms corresponding to discretizations of surface integrals in particular we check that fermionic and bosonic masses coincide and the unbroken ward identities are fulfilled to high accuracy equally good results for the effective masses can be obtained in a model with the slac derivative even without improvement terms in two dimensions we introduce a nonstandard wilson term in such a way that the discretization errors of the kinetic terms are only of order a squared masses extracted from the corresponding manifestly supersymmetric model prove to approach their continuum values much quicker than those from a model containing the standard wilson term again a comparable enhancement can be achieved in a theory using the slac derivative | [['we', 'study', 'and', 'simulate', 'n2', 'supersymmetric', 'wesszumino', 'models', 'in', 'one', 'and', 'two', 'dimensions', 'for', 'any', 'choice', 'of', 'the', 'lattice', 'derivative', 'the', 'theories', 'can', 'be', 'made', 'manifestly', 'supersymmetric', 'by', 'adding', 'appropriate', 'improvement', 'terms', 'corresponding', 'to', 'discretizations', 'of', 'surface', 'integrals', 'in', 'particular', 'we', 'check', 'that', 'fermionic', 'and', 'bosonic', 'masses', 'coincide', 'and', 'the', 'unbroken', 'ward', 'identities', 'are', 'fulfilled', 'to', 'high', 'accuracy', 'equally', 'good', 'results', 'for', 'the', 'effective', 'masses', 'can', 'be', 'obtained', 'in', 'a', 'model', 'with', 'the', 'slac', 'derivative', 'even', 'without', 'improvement', 'terms', 'in', 'two', 'dimensions', 'we', 'introduce', 'a', 'nonstandard', 'wilson', 'term', 'in', 'such', 'a', 'way', 'that', 'the', 'discretization', 'errors', 'of', 'the', 'kinetic', 'terms', 'are', 'only', 'of', 'order', 'a', 'squared', 'masses', 'extracted', 'from', 'the', 'corresponding', 'manifestly', 'supersymmetric', 'model', 'prove', 'to', 'approach', 'their', 'continuum', 'values', 'much', 'quicker', 'than', 'those', 'from', 'a', 'model', 'containing', 'the', 'standard', 'wilson', 'term', 'again', 'a', 'comparable', 'enhancement', 'can', 'be', 'achieved', 'in', 'a', 'theory', 'using', 'the', 'slac', 'derivative']] | [-0.0906264910702466, 0.1408764994591602, -0.061047618093179566, 0.11851248056755388, -0.043818370734137316, -0.1508680684906622, 0.012290311078636665, 0.3554980339775857, -0.17036431257243026, -0.31324301751518674, 0.10192941968673713, -0.29509353074436523, -0.112763465821507, 0.15246248661942322, -0.04431595014127558, 0.060378499747009165, 0.06419686509028383, 0.05479659101836486, -0.14102924603503197, -0.27134584297493025, 0.2528267015785948, 0.0053955538306793525, 0.22082642332031965, 0.04810581980783441, 0.09729161814544095, -0.0365848018730391, -0.007233315922498499, 0.027256936160209654, -0.0775278061888482, 0.14541457317712117, 0.18560034468481879, 0.013709943797375548, 0.1543758843119626, -0.408852497744055, -0.21450014268877368, 0.11947070335178342, 0.14354094386432473, 0.1239679868266063, 0.02201674840759788, -0.26865916704274206, 0.06361997751232032, -0.21954024763465285, -0.17280994173719816, -0.11582499476506898, -0.04640963758909692, -0.07859903015355796, -0.33316807554594613, 0.10489361820649196, -0.01544887383391902, 0.048674516746621224, -0.049343132006868795, -0.13600944938083906, -0.04897929950177108, 0.08243359971714959, 0.07541505917539973, 0.050999263979252175, 0.08565935192387296, -0.17080972308120754, -0.1364527237171001, 0.4214645040744584, -0.1396846224444046, -0.26670870639077604, 0.1587444105797945, -0.1480505549801794, -0.12361392051568382, 0.10638030910325902, 0.11914064042662487, 0.11484612596700883, -0.17583049267326314, 0.13033863857280054, -0.025175888856397686, 0.1570562237254918, 0.11329063346405348, 0.047091498256546176, 0.21386199866817013, 0.08569862289602984, 0.024377910452193185, 0.12103641091778951, 0.010752658158770367, -0.12154117191516578, -0.3923944738846629, -0.14630960805137475, -0.12029708773599401, 0.04453887245522123, -0.13961207172283202, -0.12149177933405217, 0.3760008494726905, 0.1782246677297461, 0.18485321154282108, 0.10695038114719042, 0.24480138934689433, 0.17567791845904637, 0.12114855841803683, 0.03559624659190949, 0.23248525360624675, 0.09215114173983313, 0.06920640101043941, -0.22152334607321106, -0.04695665677499077, 0.15636459954899468] |
709.0823 | Reply to ''Comment on 'Regularizing Capacity of Metabolic Networks' '' | In a recent paper [C. Marr, M. Mueller-Linow, and M.-T. Huett, Phys. Rev. E
75, 041917 (2007)] we discuss the pronounced potential of real metabolic
network topologies, compared to randomized counterparts, to regularize complex
binary dynamics. In their comment [P. Holme and M. Huss, arXiv:0705.4084v1],
Holme and Huss criticize our approach and repeat our study with more realistic
dynamics, where stylized reaction kinetics are implemented on sets of pairwise
reactions. The authors find no dynamic difference between the reaction sets
recreated from the metabolic networks and randomized counterparts. We reproduce
the author's observation and find that their algorithm leads to a dynamical
fragmentation and thus eliminates the topological information contained in the
graphs. Hence, their approach cannot rule out a connection between the topology
of metabolic networks and the ubiquity of steady states.
| q-bio.MN nlin.CG | in a recent paper c marr m muellerlinow and mt huett phys rev e 75 041917 2007 we discuss the pronounced potential of real metabolic network topologies compared to randomized counterparts to regularize complex binary dynamics in their comment p holme and m huss arxiv07054084v1 holme and huss criticize our approach and repeat our study with more realistic dynamics where stylized reaction kinetics are implemented on sets of pairwise reactions the authors find no dynamic difference between the reaction sets recreated from the metabolic networks and randomized counterparts we reproduce the authors observation and find that their algorithm leads to a dynamical fragmentation and thus eliminates the topological information contained in the graphs hence their approach cannot rule out a connection between the topology of metabolic networks and the ubiquity of steady states | [['in', 'a', 'recent', 'paper', 'c', 'marr', 'm', 'muellerlinow', 'and', 'mt', 'huett', 'phys', 'rev', 'e', '75', '041917', '2007', 'we', 'discuss', 'the', 'pronounced', 'potential', 'of', 'real', 'metabolic', 'network', 'topologies', 'compared', 'to', 'randomized', 'counterparts', 'to', 'regularize', 'complex', 'binary', 'dynamics', 'in', 'their', 'comment', 'p', 'holme', 'and', 'm', 'huss', 'arxiv07054084v1', 'holme', 'and', 'huss', 'criticize', 'our', 'approach', 'and', 'repeat', 'our', 'study', 'with', 'more', 'realistic', 'dynamics', 'where', 'stylized', 'reaction', 'kinetics', 'are', 'implemented', 'on', 'sets', 'of', 'pairwise', 'reactions', 'the', 'authors', 'find', 'no', 'dynamic', 'difference', 'between', 'the', 'reaction', 'sets', 'recreated', 'from', 'the', 'metabolic', 'networks', 'and', 'randomized', 'counterparts', 'we', 'reproduce', 'the', 'authors', 'observation', 'and', 'find', 'that', 'their', 'algorithm', 'leads', 'to', 'a', 'dynamical', 'fragmentation', 'and', 'thus', 'eliminates', 'the', 'topological', 'information', 'contained', 'in', 'the', 'graphs', 'hence', 'their', 'approach', 'can', 'not', 'rule', 'out', 'a', 'connection', 'between', 'the', 'topology', 'of', 'metabolic', 'networks', 'and', 'the', 'ubiquity', 'of', 'steady', 'states']] | [-0.11885591617409283, 0.06895420004506238, -0.06582565987527442, 0.06694106397648844, -0.04051890396513045, -0.11657748759204808, 0.11933505322891645, 0.37268864841272054, -0.21100773239651552, -0.30723257354962136, -0.00098812363217943, -0.2826395290187345, -0.22809097280601587, 0.16595064488311226, -0.06523974473194148, 0.02522845918026108, 0.09216130495322152, -0.007343334446732815, -0.02721276720381306, -0.2506794498284132, 0.27966905774530737, 0.0623992129891681, 0.264941188499618, 0.05911646460971007, 0.05155493599147751, -0.013229434260238822, -0.06636880358788542, -0.0003924736278489805, -0.1498954245107038, 0.10408968822806715, 0.22703482111056264, 0.14728832262514446, 0.21844903064461854, -0.4335517070757655, -0.22612912809619537, 0.15372957195459794, 0.07862925965410586, 0.09974048638429779, 0.022102483061406438, -0.28927791858396423, 0.08566045456458456, -0.16546810353712108, -0.06645349205041734, -0.12236066015723807, 0.09124158765726652, 0.0327498522049819, -0.24532031228479284, 0.077586620583987, 0.05469532269836726, 0.06060887402496659, -0.04332039698492736, -0.10476094405345905, -0.062364923681777255, 0.09718708887409705, 0.0037559538506544555, 0.050480803123299174, 0.13665736911890025, -0.07289769531657489, -0.17003181768366352, 0.3440114152331192, 0.0012559305025766103, -0.16143629010766744, 0.23261923185155656, -0.11588525572934975, -0.15170244918419765, 0.09879300342335437, 0.17942753073831016, 0.10770180963266354, -0.15270554968514122, 0.07940112992476385, -0.026204033247687712, 0.1281723249112614, 0.08996684232798334, -0.010651967059283588, 0.13840801670359304, 0.1534167981097618, 0.009497889154590666, 0.09624003728206915, -0.059793446887320335, -0.13645133864886771, -0.2427011218280173, -0.12767367378580205, -0.1572998644425892, 0.09546344745378099, -0.0606819734756405, -0.12551271477714182, 0.3684945936099841, 0.1372961943001988, 0.23509337779206152, 0.07810365934229384, 0.22281538382745705, 0.012365491976603292, 0.023166463480223543, 0.1250928938961946, 0.20149816180492053, 0.14585820994554805, 0.13081646462759147, -0.2479191122791515, 0.0770709599545136, 0.015853588802453418] |
709.0824 | On Random Unitary Channels | In this article we provide necessary and sufficient conditions for a
completely positive trace-preserving (CPT) map to be decomposable into a convex
combination of unitary maps. Additionally, we set out to define a proper
distance measure between a given CPT map and the set of random unitary maps,
and methods for calculating it. In this way one could determine whether
non-classical error mechanisms such as spontaneous decay or photon loss
dominate over classical uncertainties, for example in a phase parameter. The
present paper is a step towards achieving this goal.
| quant-ph | in this article we provide necessary and sufficient conditions for a completely positive tracepreserving cpt map to be decomposable into a convex combination of unitary maps additionally we set out to define a proper distance measure between a given cpt map and the set of random unitary maps and methods for calculating it in this way one could determine whether nonclassical error mechanisms such as spontaneous decay or photon loss dominate over classical uncertainties for example in a phase parameter the present paper is a step towards achieving this goal | [['in', 'this', 'article', 'we', 'provide', 'necessary', 'and', 'sufficient', 'conditions', 'for', 'a', 'completely', 'positive', 'tracepreserving', 'cpt', 'map', 'to', 'be', 'decomposable', 'into', 'a', 'convex', 'combination', 'of', 'unitary', 'maps', 'additionally', 'we', 'set', 'out', 'to', 'define', 'a', 'proper', 'distance', 'measure', 'between', 'a', 'given', 'cpt', 'map', 'and', 'the', 'set', 'of', 'random', 'unitary', 'maps', 'and', 'methods', 'for', 'calculating', 'it', 'in', 'this', 'way', 'one', 'could', 'determine', 'whether', 'nonclassical', 'error', 'mechanisms', 'such', 'as', 'spontaneous', 'decay', 'or', 'photon', 'loss', 'dominate', 'over', 'classical', 'uncertainties', 'for', 'example', 'in', 'a', 'phase', 'parameter', 'the', 'present', 'paper', 'is', 'a', 'step', 'towards', 'achieving', 'this', 'goal']] | [-0.08252570735251842, 0.11069992256040374, -0.09356373994766425, 0.07515657919510785, -0.04414645436271611, -0.15030944160082274, 0.1128691847423195, 0.39962944123480054, -0.31671901697085963, -0.22388636610574192, 0.09259620188838906, -0.2245064386477073, -0.1390422475317286, 0.19782300532226346, -0.07210691596517588, 0.07084406543936994, 0.04505969251687121, 0.0075368013003349514, -0.08792285367122127, -0.21104475715870244, 0.3394048434164789, 0.025574826658703385, 0.22198451296943758, 0.05584808099601004, 0.14706488024546868, -0.016366427769470546, -0.04713064671442327, 0.005828718861771954, -0.13733221105002386, 0.07711919207746784, 0.2644800829390685, 0.16986075634033315, 0.2635046063197984, -0.35571927140635023, -0.18002526839781138, 0.2365483978142341, 0.10133695119034705, 0.13288585412471246, -0.04177257322913243, -0.26509277693306404, 0.07812839942570361, -0.134175972138635, -0.11411093935085874, -0.11998891182140344, 0.03011585360703369, -0.05772407913787497, -0.33361852000364, 0.05654463241290715, 0.09988718856539991, 0.07612637724313472, -0.025495563778612347, -0.04208521901940306, 0.041975054677782786, 0.1596435104419167, -0.04338299702697744, 0.07768273329129442, 0.12019619659404271, -0.07458863828020791, -0.1009772592327661, 0.3861894657421443, -0.0708014120037357, -0.25146076830828357, 0.14282003891809533, -0.1336418020952907, -0.1540689658270114, 0.09523813381998075, 0.1776032479479909, 0.09346066354256537, -0.1853923571916918, 0.04491873561831502, -0.02712073708987898, 0.1362968909036782, 0.06226658547918002, 0.07538819132993618, 0.21727968582159116, 0.1129445475163973, 0.16781713111429578, 0.1711550041502859, -0.03830251865502861, -0.05064146466449731, -0.3708499605456988, -0.19807851708804566, -0.12895205893760753, 0.10045827654604282, -0.04564929669933109, -0.14835632991873557, 0.4117243706352181, 0.12982912025504953, 0.21416320474818348, 0.07612265062828859, 0.2875328641048529, 0.11364345375752438, 0.020681909814528707, 0.04234159263368282, 0.19032879324319463, 0.14466290693316194, -8.718381868675352e-05, -0.19463946754371542, 0.05564381274291211, 0.06645550998962588] |
709.0825 | Shaping Planetary Nebulae by Jets | We conduct 2D axisymmetrical hydrodynamical simulations to investigate the
interaction of a collimated fast wind (CFW; wide jets) with a spherical AGB
wind. The code includes radiative cooling. We find that the shape of the
planetary nebula (PN) is sensitive to the exact mass loss history of the AGB
wind, and the opening angle of the CFW. Some typical PN morphologies are
obtained, but many other observed morphologies seem to require more ingredients
than what we assume in our present simulations, e.g., equatorial AGB wind, and
ionization and fast wind during the PN phase. The hot bipolar bubble formed by
the jets is an X-ray source.
| astro-ph | we conduct 2d axisymmetrical hydrodynamical simulations to investigate the interaction of a collimated fast wind cfw wide jets with a spherical agb wind the code includes radiative cooling we find that the shape of the planetary nebula pn is sensitive to the exact mass loss history of the agb wind and the opening angle of the cfw some typical pn morphologies are obtained but many other observed morphologies seem to require more ingredients than what we assume in our present simulations eg equatorial agb wind and ionization and fast wind during the pn phase the hot bipolar bubble formed by the jets is an xray source | [['we', 'conduct', '2d', 'axisymmetrical', 'hydrodynamical', 'simulations', 'to', 'investigate', 'the', 'interaction', 'of', 'a', 'collimated', 'fast', 'wind', 'cfw', 'wide', 'jets', 'with', 'a', 'spherical', 'agb', 'wind', 'the', 'code', 'includes', 'radiative', 'cooling', 'we', 'find', 'that', 'the', 'shape', 'of', 'the', 'planetary', 'nebula', 'pn', 'is', 'sensitive', 'to', 'the', 'exact', 'mass', 'loss', 'history', 'of', 'the', 'agb', 'wind', 'and', 'the', 'opening', 'angle', 'of', 'the', 'cfw', 'some', 'typical', 'pn', 'morphologies', 'are', 'obtained', 'but', 'many', 'other', 'observed', 'morphologies', 'seem', 'to', 'require', 'more', 'ingredients', 'than', 'what', 'we', 'assume', 'in', 'our', 'present', 'simulations', 'eg', 'equatorial', 'agb', 'wind', 'and', 'ionization', 'and', 'fast', 'wind', 'during', 'the', 'pn', 'phase', 'the', 'hot', 'bipolar', 'bubble', 'formed', 'by', 'the', 'jets', 'is', 'an', 'xray', 'source']] | [-0.11059210271209935, 0.09272417037449623, -0.06426771382036847, 0.10697627117866124, -0.09324062005880307, -0.06874144120352729, -0.029465991313973407, 0.45099295703869946, -0.19450538893195116, -0.3265547875033797, 0.03745613298884083, -0.23298634303171398, -0.018762463448955765, 0.23536533823693698, -0.01351306141619922, -0.016160316273288906, 0.12442361458450696, -0.12789763486724487, -0.0678687024694639, -0.17532467043449013, 0.30007957231323673, 0.08115217049676433, 0.11412013822041873, -0.015597439801566443, 0.054447076430561826, -0.12510434231053125, -0.032318891601566715, -0.06392332210363645, -0.1751363988692421, 0.03850877154091338, 0.14565894948724956, 0.12302729729035834, 0.16560881820431567, -0.4730579424298035, -0.25302851974155827, -0.0011478823539361638, 0.20389282695313735, 0.05218961217906326, -0.08630792761096875, -0.18708247332042963, 0.03924238941531172, -0.26018602262418017, -0.19375441713205907, 0.04403105630750223, 0.010588809456851965, 0.07822752573949127, -0.2891993889374272, 0.07080734376180566, 0.029499794400455255, 0.06283887477486201, -0.03493180288713566, -0.08707187838746973, -0.09905414975617292, 0.06969922453929442, 0.05960920877877693, 0.05815729507539456, 0.20725895778522035, -0.17675470420651418, -0.004524438020351501, 0.42164103095507566, 0.0026435472903375617, -0.05533308944146518, 0.2657956189106939, -0.2647660983823029, -0.10942263658299058, 0.22276989812523407, 0.16258098552759104, 0.1567937799329641, -0.1256133108751251, -0.04446056353989198, -0.028217898027198214, 0.15770064591526775, 0.02526555826694195, 0.014975184497845202, 0.28372763173724963, 0.1358879094269074, -0.03924972568429954, 0.1542062075245238, -0.236143326905187, -0.08053027615302576, -0.2357151247736699, -0.09452075960294712, -0.10448802083967922, 0.08547055852195283, -0.149912175383745, -0.18699819247572208, 0.35116114119893677, 0.13541850831605634, 0.16798218078735583, -0.05519047849767683, 0.3460069972107995, 0.04895506142572728, 0.04140090887909228, 0.18918671373515125, 0.3370772614157517, 0.13737806155926213, 0.13636271854563844, -0.26079145251808444, 0.1367049552368457, 0.020423414914886345] |
709.0826 | Diffuse Galactic light at high Galactic latitude: nature and
interpretation | The hypothesis of an extended red emission (ERE) in diffuse Galactic light
(DGL) has been put forward in 1998 by Gordon, Witt and Friedmann who found that
scattered starlight was not enough to explain the amount of DGL in the R band,
in some high Galactic latitude directions. This paper re-investigates, for high
Galactic latitudes, the brightnesses and colours of DGL, integrated star and
galaxy light (ISGL), and of the total extrasolar light (ISGL+DGL) measured by
Pioneer. Under the traditional assumption that DGL is forward scattering of
background starlight by interstellar dust on the line of sight, ISGL and
Pioneer have very close colours, as it is found by Gordon, Witt and Friedmann.
Pioneer observations at high |b| thus accept an alternative and simple
interpretation, with no involvement of ERE in DGL.
| astro-ph | the hypothesis of an extended red emission ere in diffuse galactic light dgl has been put forward in 1998 by gordon witt and friedmann who found that scattered starlight was not enough to explain the amount of dgl in the r band in some high galactic latitude directions this paper reinvestigates for high galactic latitudes the brightnesses and colours of dgl integrated star and galaxy light isgl and of the total extrasolar light isgldgl measured by pioneer under the traditional assumption that dgl is forward scattering of background starlight by interstellar dust on the line of sight isgl and pioneer have very close colours as it is found by gordon witt and friedmann pioneer observations at high b thus accept an alternative and simple interpretation with no involvement of ere in dgl | [['the', 'hypothesis', 'of', 'an', 'extended', 'red', 'emission', 'ere', 'in', 'diffuse', 'galactic', 'light', 'dgl', 'has', 'been', 'put', 'forward', 'in', '1998', 'by', 'gordon', 'witt', 'and', 'friedmann', 'who', 'found', 'that', 'scattered', 'starlight', 'was', 'not', 'enough', 'to', 'explain', 'the', 'amount', 'of', 'dgl', 'in', 'the', 'r', 'band', 'in', 'some', 'high', 'galactic', 'latitude', 'directions', 'this', 'paper', 'reinvestigates', 'for', 'high', 'galactic', 'latitudes', 'the', 'brightnesses', 'and', 'colours', 'of', 'dgl', 'integrated', 'star', 'and', 'galaxy', 'light', 'isgl', 'and', 'of', 'the', 'total', 'extrasolar', 'light', 'isgldgl', 'measured', 'by', 'pioneer', 'under', 'the', 'traditional', 'assumption', 'that', 'dgl', 'is', 'forward', 'scattering', 'of', 'background', 'starlight', 'by', 'interstellar', 'dust', 'on', 'the', 'line', 'of', 'sight', 'isgl', 'and', 'pioneer', 'have', 'very', 'close', 'colours', 'as', 'it', 'is', 'found', 'by', 'gordon', 'witt', 'and', 'friedmann', 'pioneer', 'observations', 'at', 'high', 'b', 'thus', 'accept', 'an', 'alternative', 'and', 'simple', 'interpretation', 'with', 'no', 'involvement', 'of', 'ere', 'in', 'dgl']] | [-0.018760183645600035, 0.0844022547990867, -0.12982432892574935, 0.08694972647372055, -0.15290349562717384, -0.09241082205242196, 0.02327970014758726, 0.42927544737819495, -0.18569655680321445, -0.3387036283984203, 0.0019316097510285503, -0.2956188202207518, -0.038936122963132785, 0.19062930436501668, -0.11117841444851816, -0.030390493463464948, -0.00701332102392533, -0.0925427711922531, 0.0758564566269286, -0.27995367945973265, 0.26328465488807895, 0.14271587801577393, 0.16706141233516408, 0.019469741556356668, 0.0884900167742347, -0.014117584123398906, -0.1205312030194977, -0.014394604532380206, -0.07310850008324514, 0.065811009391738, 0.2511399258289111, 0.1377333923686989, 0.14266380994732297, -0.41049736512232887, -0.25381489569508986, 0.08061131411150835, 0.167207016985026, 0.02684274986259957, -0.07239684102020782, -0.2763430025760633, 0.04002621885417968, -0.13048249448274168, -0.21667714389907414, 0.08295579160953503, 0.11410548901474175, -0.021483703805205895, -0.15599089131741098, 0.0314491960299454, 0.04303643735425272, 0.13727041095668494, -0.07720517659516529, -0.12903091843535966, -0.04650191406452263, 0.015277699811939988, 0.04697104793153847, 0.08600833565050867, 0.11565466973093129, -0.11113801797628114, -0.043976185771152955, 0.40934669411950564, -0.11048532896061507, -0.036458110321284265, 0.14798927841375964, -0.21061278516318388, -0.12175305295995502, 0.18591221717958764, 0.11336436305310606, 0.07173212909666721, -0.17985983645586773, 0.11318617030958349, -0.061380472460169665, 0.13041098853356617, 0.1444023373724474, 0.03521878075302676, 0.3142768877897729, 0.006274736178641807, 0.057093383760603016, 0.058196527745336464, -0.20865615349544517, -0.0009163165945097688, -0.2591672012069833, -0.11692235366055063, -0.11418462496308625, 0.08370445608515599, -0.12078847939632707, -0.06999804029085983, 0.29569897512984716, 0.11814766914345497, 0.2002816513585028, 0.04725747488713426, 0.357327752530055, 0.09759885486298378, 0.07642407189962606, 0.147374526767219, 0.3395380717208122, 0.19055451544420432, 0.14669662971742625, -0.21992545039934475, 0.08369717393824, -0.0037398127290283064] |
709.0827 | Sympathetic cooling in a mixture of diamagnetic and paramagnetic atoms | We have experimentally realized a hybrid trap for ultracold paramagnetic
rubidium and diamagnetic ytterbium atoms by combining a bichromatic optical
dipole trap for ytterbium with a Ioffe-Pritchard-type magnetic trap for
rubidium. In this hybrid trap, sympathetic cooling of five different ytterbium
isotopes through elastic collisions with rubidium was achieved. A strong
dependence of the interspecies collisional cross section on the mass of the
ytterbium isotope was observed.
| physics.atom-ph | we have experimentally realized a hybrid trap for ultracold paramagnetic rubidium and diamagnetic ytterbium atoms by combining a bichromatic optical dipole trap for ytterbium with a ioffepritchardtype magnetic trap for rubidium in this hybrid trap sympathetic cooling of five different ytterbium isotopes through elastic collisions with rubidium was achieved a strong dependence of the interspecies collisional cross section on the mass of the ytterbium isotope was observed | [['we', 'have', 'experimentally', 'realized', 'a', 'hybrid', 'trap', 'for', 'ultracold', 'paramagnetic', 'rubidium', 'and', 'diamagnetic', 'ytterbium', 'atoms', 'by', 'combining', 'a', 'bichromatic', 'optical', 'dipole', 'trap', 'for', 'ytterbium', 'with', 'a', 'ioffepritchardtype', 'magnetic', 'trap', 'for', 'rubidium', 'in', 'this', 'hybrid', 'trap', 'sympathetic', 'cooling', 'of', 'five', 'different', 'ytterbium', 'isotopes', 'through', 'elastic', 'collisions', 'with', 'rubidium', 'was', 'achieved', 'a', 'strong', 'dependence', 'of', 'the', 'interspecies', 'collisional', 'cross', 'section', 'on', 'the', 'mass', 'of', 'the', 'ytterbium', 'isotope', 'was', 'observed']] | [-0.07364987332204526, 0.36001729599736404, 0.06438755357257006, -0.05643030995182044, 0.15349026010230635, -0.23270944229355364, 0.10180889576969837, 0.48775572736154904, -0.12331022864038294, -0.21640283258801157, -0.12386605885959315, -0.3111672816854535, 0.0787001708522439, 0.20008817546521174, 0.1047324189690478, 0.0949585660515974, 0.06655115912188635, -0.033373642430612534, -0.024908492327526663, -0.1964551460202501, 0.23177263092701184, 0.06618480234773773, 0.26133812743831764, 0.13253785499061146, 0.13112537974886823, -0.037677627839994704, 0.20677944061092354, -0.09479945989777193, -0.10464601052191222, 0.14569200839623314, 0.22016631377240023, -0.07327183757231316, 0.1860668467301311, -0.4680215935363914, -0.19525159560990604, 0.1340466163854933, 0.16899188613575516, 0.25621919777018554, -0.14729997805834777, -0.3464173443446105, -0.15427853447159356, -0.20718104922861763, -0.14668154924451796, -0.15256837119037905, 0.03711186980856865, 0.0995487989011136, -0.34283590821944404, 0.013325998940589752, 0.0009831247258592737, 0.2312487356900943, -0.17420982366258447, -0.11629544240845875, 0.06574997335150273, -0.12015884781651424, -0.1155864613582239, -0.005564117275009101, 0.2664243351795118, -0.01333497456013874, -0.0790212828327309, 0.4280137298417024, -0.19965985547186751, 0.0317338617574988, 0.13522704426820079, -0.1755402890019909, -0.03294585635673932, 0.22384725897714045, 0.1493100392152414, 0.05075239705514501, -0.15259193154898557, 0.017842435714555904, -0.09265493469799614, 0.20721047252564775, 0.20247188649337852, 0.06612827974921939, 0.25842463850241265, 0.25387411199820537, -0.052151375813550796, 0.18385300892546322, -0.20294682290334481, -0.027184869896507625, -0.1684257130731236, -0.14883099925337415, -0.16800494513220407, -0.023519649494890913, 0.005869588419789745, -0.10071100750417716, 0.3149220605423166, 0.06459376308361464, 0.17791676690632646, -0.16424657315876562, 0.3646347534024354, 0.11108941038731825, 0.04825607682340143, -0.07202390884754784, 0.37834027756682853, 0.2322995915169348, 0.14189247010191056, -0.40806015781268024, -0.0073317269667644396, 0.06579873613505201] |
709.0828 | Study of the core-excited Fano Resonances in the neutron-rich C-isotopes | Fano Resonances are a new continuum excitation mode in light exotic nuclei.
By the QPC model we explain these sharp and asymmetric structures as due to the
coupling of a single particle elastic channel to the closed core-excited
channels. Theoretical model calculations are compared for 15C, 17C and 19C. The
theoretical results for 15C are in qualitative agreement with the experimental
spectrum.
| nucl-th nucl-ex | fano resonances are a new continuum excitation mode in light exotic nuclei by the qpc model we explain these sharp and asymmetric structures as due to the coupling of a single particle elastic channel to the closed coreexcited channels theoretical model calculations are compared for 15c 17c and 19c the theoretical results for 15c are in qualitative agreement with the experimental spectrum | [['fano', 'resonances', 'are', 'a', 'new', 'continuum', 'excitation', 'mode', 'in', 'light', 'exotic', 'nuclei', 'by', 'the', 'qpc', 'model', 'we', 'explain', 'these', 'sharp', 'and', 'asymmetric', 'structures', 'as', 'due', 'to', 'the', 'coupling', 'of', 'a', 'single', 'particle', 'elastic', 'channel', 'to', 'the', 'closed', 'coreexcited', 'channels', 'theoretical', 'model', 'calculations', 'are', 'compared', 'for', '15c', '17c', 'and', '19c', 'the', 'theoretical', 'results', 'for', '15c', 'are', 'in', 'qualitative', 'agreement', 'with', 'the', 'experimental', 'spectrum']] | [-0.09628995879357981, 0.1354781941871249, -0.09202508171719889, 0.1353611119669832, 0.01264615761747043, -0.20554874573023088, 0.06168397745838569, 0.423612198522014, -0.18357594102440822, -0.30175031195845337, -0.032495282857017894, -0.34759673851752476, -0.08731038652871165, 0.1859135265263068, 0.028435786975727927, 0.09592337188340964, 0.08073046282609744, -0.007303343522512625, -0.004137062873210638, -0.11081524441889938, 0.2885035445853587, 0.067940759112037, 0.26037416658214024, 0.1268988837968678, -0.04400837081935136, -0.005982038587512028, 0.05245334019644126, -0.04847190306792336, -0.15481730664689694, 0.10157611570696556, 0.24424807000304422, -0.059555861164793195, 0.10246699103604882, -0.43924963510324877, -0.20866368023017723, 0.016127414205261776, 0.16715303266931686, 0.191138529091052, -0.08455149103857336, -0.30599834562669836, 0.0540072915384606, -0.1565119781110796, -0.13701151299380487, -0.08517313114697894, -0.012963299647033695, 0.04908661675008555, -0.2789633196868723, 0.10806343900490432, 0.0017745261185712392, 0.043612996043873045, -0.11928357174169392, -0.18148416764808878, -0.015542187799339092, 0.04580236127179477, 0.043812606701507203, -0.0035169240774496667, 0.1471226294449861, -0.1212733399513508, -0.1441847825603139, 0.36318439533633573, -0.06439111755049277, -0.12440331759787496, 0.15542277171851077, -0.15709612818224536, -0.07368944371457122, 0.23256661319324085, 0.16226676480484106, 0.06479506345555908, -0.110199682790065, 0.05408270628334234, -0.05891051853353518, 0.14705996291952267, 0.024877330280780312, 0.08599829212506584, 0.17395800967971164, 0.18353693119640793, -0.06257260668902628, 0.08445268216347622, -0.13068676754952438, -0.13660371462784468, -0.3350557362841022, -0.0711786917208003, -0.09268980707753555, 0.011392994393264093, -0.044595813911479536, -0.08947137130364295, 0.3818938551290381, 0.01891344318526887, 0.25411272298304305, -0.009214907073445858, 0.3031761943167376, 0.09369905802023207, 0.006554807926858625, 0.014671622895665707, 0.3635693762992178, 0.23616370550101443, 0.04015715331620266, -0.26951684006640025, 0.02065431597762771, -0.05522934361661394] |
709.0829 | Long GRBs from binary stars: runaway, Wolf-Rayet progenitors | The collapsar model for long gamma-ray bursts requires a rapidly rotating
Wolf-Rayet star as progenitor. We test the idea of producing rapidly rotating
Wolf-Rayet stars in massive close binaries through mass accretion and
consecutive quasi-chemically homogeneous evolution; the latter had previously
been shown to provide collapsars below a certain metallicity threshold for
single stars. The binary channel presented here may provide a means for massive
stars to obtain the high rotation rates required to evolve quasi-chemically
homogeneous and fulfill the collapsar scenario. Moreover, it suggests that a
possibly large fraction of long gamma-ray bursts occurs in runaway stars.
| astro-ph | the collapsar model for long gammaray bursts requires a rapidly rotating wolfrayet star as progenitor we test the idea of producing rapidly rotating wolfrayet stars in massive close binaries through mass accretion and consecutive quasichemically homogeneous evolution the latter had previously been shown to provide collapsars below a certain metallicity threshold for single stars the binary channel presented here may provide a means for massive stars to obtain the high rotation rates required to evolve quasichemically homogeneous and fulfill the collapsar scenario moreover it suggests that a possibly large fraction of long gammaray bursts occurs in runaway stars | [['the', 'collapsar', 'model', 'for', 'long', 'gammaray', 'bursts', 'requires', 'a', 'rapidly', 'rotating', 'wolfrayet', 'star', 'as', 'progenitor', 'we', 'test', 'the', 'idea', 'of', 'producing', 'rapidly', 'rotating', 'wolfrayet', 'stars', 'in', 'massive', 'close', 'binaries', 'through', 'mass', 'accretion', 'and', 'consecutive', 'quasichemically', 'homogeneous', 'evolution', 'the', 'latter', 'had', 'previously', 'been', 'shown', 'to', 'provide', 'collapsars', 'below', 'a', 'certain', 'metallicity', 'threshold', 'for', 'single', 'stars', 'the', 'binary', 'channel', 'presented', 'here', 'may', 'provide', 'a', 'means', 'for', 'massive', 'stars', 'to', 'obtain', 'the', 'high', 'rotation', 'rates', 'required', 'to', 'evolve', 'quasichemically', 'homogeneous', 'and', 'fulfill', 'the', 'collapsar', 'scenario', 'moreover', 'it', 'suggests', 'that', 'a', 'possibly', 'large', 'fraction', 'of', 'long', 'gammaray', 'bursts', 'occurs', 'in', 'runaway', 'stars']] | [-0.10549626785255636, 0.2164072469138179, -0.029501896541641683, 0.18555504475169035, -0.14653750926693332, -0.11361561188170193, 0.09858663194356676, 0.39046637658790057, -0.142111030540296, -0.3141831078243499, 0.01216813160358377, -0.22866294526361994, 0.016721825495514334, 0.24350497133944335, -0.05317947556910922, 0.0035995943091657696, 0.15917277469641852, -0.005673352644983109, -0.054780979612272004, -0.28281255597628807, 0.305330499707322, 0.09680760987293051, 0.14469145097275626, -0.09364174619526128, 0.05588527754595389, -0.12600263185818128, -0.009094250241142451, -0.100457888163094, -0.1384654803827734, -0.07311116909722284, 0.22984863052201665, 0.17891502942728374, 0.22753260121205632, -0.38962476329915985, -0.2976505458164884, 0.09149104082120621, 0.25213466240663307, 0.07257873223077659, -0.15188280419845665, -0.2248748371327695, 0.10067554849332996, -0.28136979732116, -0.21318398384681467, 0.053304449170447736, 0.07771303679803576, 0.07997131809041057, -0.26527729710297926, 0.11210188559703149, 0.08297086816414126, 0.006460419361840705, -0.11746347325911023, 0.002948408951146566, -0.030780775919176485, 0.05453716834284821, 0.10055063482093606, 0.0771081262334649, 0.11164869689287579, -0.11808008495338108, -0.0013701474978303422, 0.40073168852689617, -0.07023816124289012, -0.02982880214552338, 0.24986643471092232, -0.2271806821987337, -0.1847780314749297, 0.17413052888492084, 0.16896203010727898, 0.18380557301416234, -0.16955479061021944, -0.07382943027068348, 0.018630312318552514, 0.17685787642151307, 0.07048742097032694, 0.050156479516085616, 0.3991543059427367, 0.19237186768263273, -0.032545422878572525, 0.11377107974483955, -0.20089826659223406, -0.07839804351785962, -0.2044422143300501, -0.11049827570523306, -0.1015820892869818, 0.14968674422873715, -0.1259013506645047, -0.17615043212824777, 0.27827273126767604, 0.03782564530039814, 0.18681724198466662, 0.05365035206682942, 0.23856898830557355, 0.0802056880368452, 0.1204830505077404, 0.16618484005389011, 0.34401543443186244, 0.19774221193653588, 0.1249699578371032, -0.2137335978890294, 0.10637696311162899, 0.008951732659550878] |
709.083 | Small Angle Scattering and Zeta Potential of Liposomes Loaded with
Octa(carboranyl)porphyrazine | In this work the physicochemical characterization of liposomes loaded with a
newly synthesised carboranyl porphyrazine (H2HECASPz) is described. This
molecule represents a potential drug for different anticancer therapies, such
as Boron Neutron Capture Therapy, Photodynamic Therapy and Photothermal
Therapy. Different loading methods and different lipid mixtures were tested.
The corresponding loaded vectors were studied by Small Angle Scattering (SANS
and SAXS), light scattering and zeta potential. The combined analysis of
structural data at various length scales and the measurement of the surface
charge allowed to obtain a detailed characterization of the investigated
systems. The mechanisms underlying the onset of differences in relevant
physicochemical parameters (size, polydispersity and charge) were also
critically discussed.
| cond-mat.soft physics.bio-ph | in this work the physicochemical characterization of liposomes loaded with a newly synthesised carboranyl porphyrazine h2hecaspz is described this molecule represents a potential drug for different anticancer therapies such as boron neutron capture therapy photodynamic therapy and photothermal therapy different loading methods and different lipid mixtures were tested the corresponding loaded vectors were studied by small angle scattering sans and saxs light scattering and zeta potential the combined analysis of structural data at various length scales and the measurement of the surface charge allowed to obtain a detailed characterization of the investigated systems the mechanisms underlying the onset of differences in relevant physicochemical parameters size polydispersity and charge were also critically discussed | [['in', 'this', 'work', 'the', 'physicochemical', 'characterization', 'of', 'liposomes', 'loaded', 'with', 'a', 'newly', 'synthesised', 'carboranyl', 'porphyrazine', 'h2hecaspz', 'is', 'described', 'this', 'molecule', 'represents', 'a', 'potential', 'drug', 'for', 'different', 'anticancer', 'therapies', 'such', 'as', 'boron', 'neutron', 'capture', 'therapy', 'photodynamic', 'therapy', 'and', 'photothermal', 'therapy', 'different', 'loading', 'methods', 'and', 'different', 'lipid', 'mixtures', 'were', 'tested', 'the', 'corresponding', 'loaded', 'vectors', 'were', 'studied', 'by', 'small', 'angle', 'scattering', 'sans', 'and', 'saxs', 'light', 'scattering', 'and', 'zeta', 'potential', 'the', 'combined', 'analysis', 'of', 'structural', 'data', 'at', 'various', 'length', 'scales', 'and', 'the', 'measurement', 'of', 'the', 'surface', 'charge', 'allowed', 'to', 'obtain', 'a', 'detailed', 'characterization', 'of', 'the', 'investigated', 'systems', 'the', 'mechanisms', 'underlying', 'the', 'onset', 'of', 'differences', 'in', 'relevant', 'physicochemical', 'parameters', 'size', 'polydispersity', 'and', 'charge', 'were', 'also', 'critically', 'discussed']] | [-0.08229723453111605, 0.18800380688754484, -0.04208076348391558, 0.05079892276115545, -0.014382314300079137, -0.16306032809063603, 0.03575997608243872, 0.3938409055865139, -0.23868188076148475, -0.2823156759467557, 0.05877417783250759, -0.2969448109746936, -0.13448166696850314, 0.18412011440569928, 0.004861543352348269, 0.09366254731500094, 0.036337775332050036, -0.027027889996459453, -0.01815215975405016, -0.1971464116230966, 0.2572933534104719, 0.10104216888991244, 0.3145254045690692, 0.13438164611099238, 0.0715162176339793, 0.06284725658142717, -0.03316040337085724, 0.010061044327128645, -0.19889627816155553, 0.1037118524663287, 0.26542856932164877, 0.07741026115526847, 0.19242925879571143, -0.46356418474209965, -0.2839154314950382, 0.03670948523165094, 0.09946067987112414, 0.09870042666416923, -0.07338011629546783, -0.22967589471634442, 0.03223190878747819, -0.12615791570561843, -0.13196888046099917, -0.08355452598781761, 0.03635189639951248, 0.09122626629546968, -0.24794922133377933, 0.06068249868091256, -0.02508612030074684, 0.11711423106730805, -0.16359476689377442, -0.19215967301108422, -0.01663978591052935, 0.11016199821948049, 0.08109105721654353, -0.019114321579413333, 0.2656370521866964, -0.12373359247170594, -0.055889853105427476, 0.36315832994536523, 0.025749683790250655, -0.15044933038020353, 0.19324619165801127, -0.1325747909562645, -0.08963527808119671, 0.17469765720547203, 0.1832608950725936, 0.14848340126694343, -0.22090344210454357, -0.01578618462485584, 0.02709308119251504, 0.18908609141843444, 0.15155469895759172, 0.00979135643878798, 0.20355588005889858, 0.27219188989165727, -0.11708493773406799, 0.13151205552810238, -0.14158235004581854, -0.0045232300084819075, -0.1949728999079692, -0.15346290271968469, -0.12039764302381135, 0.024561192892671245, -0.08120763048005222, -0.165004380001396, 0.37327980743550243, 0.08577155229558639, 0.15448112207798098, -0.04056565292871668, 0.26588170325122945, 0.019027358018195068, 0.07325200634418962, -0.10036542086750952, 0.21589836376556837, 0.1410172027546417, 0.11018646758374408, -0.31369435200745394, 0.14704804808977956, -0.014323557135349977] |
709.0831 | Eigenvalue pinching and application to the stability and the almost
umbilicity of hypersurfaces | In this paper we give pinching theorems for the first nonzero eigenvalue of
the Laplacian on the compact hypersurfaces of ambient spaces with bounded
sectional curvature. As application we deduce rigidity results for stable
constant mean curvature hypersurfaces $M$ of these spaces $N$. Indeed, we prove
that if $M$ is included in a ball of radius small enough then the
Hausdorff-distance between $M$ and a geodesic sphere $S$ of $N$ is small.
Moreover $M$ is diffeomorphic and quasi-isometric to $S$. As other application,
we give rigidity results for almost umbilic hypersurfaces.
| math.DG | in this paper we give pinching theorems for the first nonzero eigenvalue of the laplacian on the compact hypersurfaces of ambient spaces with bounded sectional curvature as application we deduce rigidity results for stable constant mean curvature hypersurfaces m of these spaces n indeed we prove that if m is included in a ball of radius small enough then the hausdorffdistance between m and a geodesic sphere s of n is small moreover m is diffeomorphic and quasiisometric to s as other application we give rigidity results for almost umbilic hypersurfaces | [['in', 'this', 'paper', 'we', 'give', 'pinching', 'theorems', 'for', 'the', 'first', 'nonzero', 'eigenvalue', 'of', 'the', 'laplacian', 'on', 'the', 'compact', 'hypersurfaces', 'of', 'ambient', 'spaces', 'with', 'bounded', 'sectional', 'curvature', 'as', 'application', 'we', 'deduce', 'rigidity', 'results', 'for', 'stable', 'constant', 'mean', 'curvature', 'hypersurfaces', 'm', 'of', 'these', 'spaces', 'n', 'indeed', 'we', 'prove', 'that', 'if', 'm', 'is', 'included', 'in', 'a', 'ball', 'of', 'radius', 'small', 'enough', 'then', 'the', 'hausdorffdistance', 'between', 'm', 'and', 'a', 'geodesic', 'sphere', 's', 'of', 'n', 'is', 'small', 'moreover', 'm', 'is', 'diffeomorphic', 'and', 'quasiisometric', 'to', 's', 'as', 'other', 'application', 'we', 'give', 'rigidity', 'results', 'for', 'almost', 'umbilic', 'hypersurfaces']] | [-0.21872865172246328, 0.12866767390457157, -0.07122355553188495, 0.06628492961965174, -0.07116372224741749, -0.15062873902638535, -0.037792570662561926, 0.36742202745197894, -0.22514733700350356, -0.22188883093646267, 0.1329547611684385, -0.2922735427925875, -0.15136115149605078, 0.17859303826404796, -0.1446901463422474, 0.022851197107869026, 0.09685905748507478, 0.12096958878644548, -0.06706153553050871, -0.2870289197698195, 0.425775078686906, -0.05062466232454056, 0.13603036688988682, 0.15133582887490496, 0.10541193927177689, -0.02058875697644448, 0.034002488759182554, 0.06532675775463928, -0.2736148837737766, 0.13106502358197838, 0.24198181265555732, 0.07077755141686035, 0.20527497631149713, -0.3641610313974485, -0.17818878398655535, 0.20311289365597807, 0.13090089794023188, -0.034873719818398846, -0.02193337622652557, -0.2577087129824437, 0.16095612822919264, -0.0394712246463194, -0.2294246713108905, -0.08764755961249818, 0.09964965991061794, 0.005206818016921426, -0.22320602363446257, 0.06240330693813471, 0.16860704916621466, 0.04609526325385649, -0.10442607091985397, -0.12078760690209302, -0.04362464648067624, 0.1002327326971751, 0.06383970008579666, 0.04442183739904847, 0.09083109862774938, 0.018350053437893372, -0.018356953527532763, 0.3485244050785735, -0.14444143748791008, -0.2549944087903906, 0.08286823137857757, -0.17429038553734075, -0.1264318709676205, 0.10637726075947285, 0.16582010710448192, 0.203474001396079, 0.006266032212546894, 0.1927348317547732, -0.06944038371355939, 0.08682498537710162, 0.15390569236702645, -0.023517776398336167, 0.0900214503974664, 0.08585555919005976, 0.22480306802010472, 0.11848447447358681, -0.053822746354533914, 0.008411575841799296, -0.4221663041101707, -0.22510083631745406, -0.21657915488154125, 0.19217755296779285, -0.18214437121539478, -0.1834204749480545, 0.276044552060929, -0.008629240648268343, 0.24457073985384062, 0.17438974922297748, 0.24537418428603763, -0.035852346502776654, -0.006970332216491903, 0.14583176116018995, 0.1920302363373544, 0.2307645188757106, 0.04154095285480003, -0.08920893947348245, -0.06833737239671442, 0.1579985176934285] |
709.0832 | SPLASH: An interactive visualisation tool for Smoothed Particle
Hydrodynamics simulations | This paper presents SPLASH, a publicly available interactive visualisation
tool for Smoothed Particle Hydrodynamics (SPH) simulations. Visualisation of
SPH data is more complicated than for grid-based codes because the data is
defined on a set of irregular points and therefore requires a mapping procedure
to a two dimensional pixel array. This means that, in practise, many authors
simply produce particle plots which offer a rather crude representation of the
simulation output. Here we describe the techniques and algorithms which are
utilised in SPLASH in order to provide the user with a fast, interactive and
meaningful visualisation of one, two and three dimensional SPH results.
| astro-ph | this paper presents splash a publicly available interactive visualisation tool for smoothed particle hydrodynamics sph simulations visualisation of sph data is more complicated than for gridbased codes because the data is defined on a set of irregular points and therefore requires a mapping procedure to a two dimensional pixel array this means that in practise many authors simply produce particle plots which offer a rather crude representation of the simulation output here we describe the techniques and algorithms which are utilised in splash in order to provide the user with a fast interactive and meaningful visualisation of one two and three dimensional sph results | [['this', 'paper', 'presents', 'splash', 'a', 'publicly', 'available', 'interactive', 'visualisation', 'tool', 'for', 'smoothed', 'particle', 'hydrodynamics', 'sph', 'simulations', 'visualisation', 'of', 'sph', 'data', 'is', 'more', 'complicated', 'than', 'for', 'gridbased', 'codes', 'because', 'the', 'data', 'is', 'defined', 'on', 'a', 'set', 'of', 'irregular', 'points', 'and', 'therefore', 'requires', 'a', 'mapping', 'procedure', 'to', 'a', 'two', 'dimensional', 'pixel', 'array', 'this', 'means', 'that', 'in', 'practise', 'many', 'authors', 'simply', 'produce', 'particle', 'plots', 'which', 'offer', 'a', 'rather', 'crude', 'representation', 'of', 'the', 'simulation', 'output', 'here', 'we', 'describe', 'the', 'techniques', 'and', 'algorithms', 'which', 'are', 'utilised', 'in', 'splash', 'in', 'order', 'to', 'provide', 'the', 'user', 'with', 'a', 'fast', 'interactive', 'and', 'meaningful', 'visualisation', 'of', 'one', 'two', 'and', 'three', 'dimensional', 'sph', 'results']] | [-0.05367296089025331, 0.03152425843738736, -0.16748645453033253, 0.09790649303557494, -0.08924838125060958, -0.14981717690646362, -0.029527258717840035, 0.3895213245055996, -0.22653822957251507, -0.3490329850106858, 0.10635915519154739, -0.2487704884305668, -0.1250353508333389, 0.26411484876119246, -0.05249715535543286, 0.06466304736050706, 0.14965185400349304, -0.03903076764338319, -0.06127799566400846, -0.26336543222602743, 0.2836143074091524, 0.07791123063697551, 0.21868199277713968, -0.022979703606464542, 0.11620021333174708, -0.011155446655510996, -0.13829293716340685, 0.05149451865760896, -0.17193252038550083, 0.1282072651038806, 0.283686666646435, 0.16487052970870325, 0.2781416349238358, -0.4391315615144916, -0.20957046294307263, 0.05599800065885155, 0.170523764005898, 0.12510060639201234, -0.11095591711930936, -0.21842953852879313, 0.05237895319274125, -0.1888088764031776, -0.08775961772950652, -0.09248748645544626, -0.025003759768039275, 0.01020742852303486, -0.3039659263852697, 0.036064272200187236, 0.033848677976773336, 0.11070430512504223, 0.026109538696940805, -0.0659294054359914, 0.009797796248816527, 0.1014698701586055, -0.020754475965916824, 0.05387043746976325, 0.09543361732861601, -0.11430609862663214, -0.09856533986749128, 0.4035886131549397, 0.006876183857737208, -0.25630946206981137, 0.28503040791614553, -0.08749224580913925, -0.1264719614544167, 0.15755526434916717, 0.21110380128084216, 0.10296575567917898, -0.15744956217419642, 0.01895018472434738, -0.030656375537196603, 0.1889599547184144, 0.027467768435599282, -0.03018338025923675, 0.19705883694741017, 0.20517743308132944, 0.042496084620114956, 0.1433509991329629, -0.12165849716956682, -0.0850088837491617, -0.27538404029865676, -0.19862532931773996, -0.2157295044095148, -0.01830758820198333, -0.10236832853507412, -0.21548293787054718, 0.4018945864115197, 0.1993598146039473, 0.14274530635716823, 0.036344878692314245, 0.39293659074554366, 0.020585671572217298, 0.07367237431194204, 0.09225186083215074, 0.12426728712587366, 0.037403541863358654, 0.13367603320288113, -0.12121280772911493, 0.007421809485934388, 0.11051535384299663] |
709.0833 | An Introduction to Galactic Chemical Evolution | The formalism of the simple model of galactic chemical evolution (GCE) and
its main ingredients (stellar properties, initial mass function, star formation
rate and gas flows) are presented in this tutorial. It is stressed that GCE is
not (yet) an astrophysical theory, but it merely provides a framework in which
the large body of data concerning the chemical composition of stars and gas in
galaxies may be intrepreted. A few examples illustrating those concepts are
provided, through studies of the Solar neighborhood and of the Milky Way's
halo.
| astro-ph | the formalism of the simple model of galactic chemical evolution gce and its main ingredients stellar properties initial mass function star formation rate and gas flows are presented in this tutorial it is stressed that gce is not yet an astrophysical theory but it merely provides a framework in which the large body of data concerning the chemical composition of stars and gas in galaxies may be intrepreted a few examples illustrating those concepts are provided through studies of the solar neighborhood and of the milky ways halo | [['the', 'formalism', 'of', 'the', 'simple', 'model', 'of', 'galactic', 'chemical', 'evolution', 'gce', 'and', 'its', 'main', 'ingredients', 'stellar', 'properties', 'initial', 'mass', 'function', 'star', 'formation', 'rate', 'and', 'gas', 'flows', 'are', 'presented', 'in', 'this', 'tutorial', 'it', 'is', 'stressed', 'that', 'gce', 'is', 'not', 'yet', 'an', 'astrophysical', 'theory', 'but', 'it', 'merely', 'provides', 'a', 'framework', 'in', 'which', 'the', 'large', 'body', 'of', 'data', 'concerning', 'the', 'chemical', 'composition', 'of', 'stars', 'and', 'gas', 'in', 'galaxies', 'may', 'be', 'intrepreted', 'a', 'few', 'examples', 'illustrating', 'those', 'concepts', 'are', 'provided', 'through', 'studies', 'of', 'the', 'solar', 'neighborhood', 'and', 'of', 'the', 'milky', 'ways', 'halo']] | [-0.05888891101428519, 0.09988660061489182, -0.09755179105030204, 0.10694756171142217, -0.07361366101593542, -0.02149381657363847, 0.026236879484548063, 0.3667810938786715, -0.22735813750081102, -0.3484381588641554, 0.027937039056930436, -0.26180004118941724, -0.10555704348635944, 0.2324212808982173, -0.04298374006016688, 0.0011539876121043396, 0.07589178162478757, -0.021917797857895494, -0.0315764256457359, -0.281877944171852, 0.3214923281550661, 0.09626914277693933, 0.137368545970689, 0.0381115611737848, 0.05490709284442181, -0.12600803172046487, -0.06338472289181399, -0.02748286662707952, -0.15431304457268363, 0.05613009272862903, 0.24151209838138046, 0.19847530855225737, 0.2270903832448477, -0.40319700221615756, -0.2580552226017145, 0.05727482649540021, 0.1513254725538321, 0.0981951553668213, -0.147364181058947, -0.21909098092212595, 0.0618421772537245, -0.21251729951208373, -0.19633580474923787, -0.027019617932885674, 0.022079446448267183, 0.0551639127608558, -0.21802666182735597, 0.08929594372933604, 0.0860378469435752, 0.07589531466047364, -0.10430569515896919, -0.09685466836460611, -0.07010806691092016, 0.11356977162226527, 0.05394922641756817, 0.0402310182583857, 0.2342401591436514, -0.11089500653377565, 0.004155786570415578, 0.4493832095018165, -0.013962491087361494, -0.11820540320001204, 0.24342809538145296, -0.18100958632897923, -0.17547308340330015, 0.05066012073075399, 0.12850410148332064, 0.12100352073585699, -0.24452569425656376, 0.08106490015846, -0.04524794029368257, 0.13646094168970277, -0.009938771317882294, 0.019571495480539106, 0.30502651989544655, 0.18357369233854115, 0.025350915908347815, 0.04453835027710407, -0.06943807330786843, -0.12938668908001008, -0.27728466205404734, -0.13367688560575433, -0.14498146413825452, 0.03394313836328034, -0.12151221741475059, -0.14405001239290208, 0.383816603042016, 0.11315478248103648, 0.23171899268742313, -0.009901710731686431, 0.32596585154533386, 0.07066635088995099, 0.07106715613785623, 0.09326566285877065, 0.25996218650305475, 0.1973634912627114, 0.09215094842313026, -0.20693377651993863, 0.09767776269423352, 0.03068882238585502] |
709.0834 | AC/DC Susceptibility of the Heavy-Fermion Superconductor CePt3Si under
Pressure | We have investigated the pressure dependence of ac and dc susceptibilities of
the heavy-fermion superconductor CePt3Si (Tc= 0.75 K) that coexists with
antiferromagnetism (TN = 2.2 K). As hydrostatic pressure is increased, Tc first
decreases rapidly, then rather slowly near the critical pressure Pc = 0.6 GPa
and shows a stronger decrease again at higher pressures, where Pc is the
pressure at which TN becomes zero. A transition width and a difference in the
two transition temperatures defined in the form of structures in the
out-of-phase component of ac susceptibilities also become small near Pc,
indicating that a double transition observed in CePt3Si is caused by some
inhomogeneous property in the sample that leads to a spatial variation of local
pressure. A sudden increase in the Meissner fraction above Pc suggests the
influence of antiferromagnetism on superconductivity.
| cond-mat.supr-con | we have investigated the pressure dependence of ac and dc susceptibilities of the heavyfermion superconductor cept3si tc 075 k that coexists with antiferromagnetism tn 22 k as hydrostatic pressure is increased tc first decreases rapidly then rather slowly near the critical pressure pc 06 gpa and shows a stronger decrease again at higher pressures where pc is the pressure at which tn becomes zero a transition width and a difference in the two transition temperatures defined in the form of structures in the outofphase component of ac susceptibilities also become small near pc indicating that a double transition observed in cept3si is caused by some inhomogeneous property in the sample that leads to a spatial variation of local pressure a sudden increase in the meissner fraction above pc suggests the influence of antiferromagnetism on superconductivity | [['we', 'have', 'investigated', 'the', 'pressure', 'dependence', 'of', 'ac', 'and', 'dc', 'susceptibilities', 'of', 'the', 'heavyfermion', 'superconductor', 'cept3si', 'tc', '075', 'k', 'that', 'coexists', 'with', 'antiferromagnetism', 'tn', '22', 'k', 'as', 'hydrostatic', 'pressure', 'is', 'increased', 'tc', 'first', 'decreases', 'rapidly', 'then', 'rather', 'slowly', 'near', 'the', 'critical', 'pressure', 'pc', '06', 'gpa', 'and', 'shows', 'a', 'stronger', 'decrease', 'again', 'at', 'higher', 'pressures', 'where', 'pc', 'is', 'the', 'pressure', 'at', 'which', 'tn', 'becomes', 'zero', 'a', 'transition', 'width', 'and', 'a', 'difference', 'in', 'the', 'two', 'transition', 'temperatures', 'defined', 'in', 'the', 'form', 'of', 'structures', 'in', 'the', 'outofphase', 'component', 'of', 'ac', 'susceptibilities', 'also', 'become', 'small', 'near', 'pc', 'indicating', 'that', 'a', 'double', 'transition', 'observed', 'in', 'cept3si', 'is', 'caused', 'by', 'some', 'inhomogeneous', 'property', 'in', 'the', 'sample', 'that', 'leads', 'to', 'a', 'spatial', 'variation', 'of', 'local', 'pressure', 'a', 'sudden', 'increase', 'in', 'the', 'meissner', 'fraction', 'above', 'pc', 'suggests', 'the', 'influence', 'of', 'antiferromagnetism', 'on', 'superconductivity']] | [-0.20006859488785267, 0.26018496701942273, -0.046508179308363685, -0.0016631439060869593, -0.03350576453117861, -0.12493372499528858, 0.16089033380719936, 0.3594825037099697, -0.25473324904839195, -0.2697167061545231, 0.02052751033635879, -0.36540341071991456, -0.063111113494745, 0.12533440418472444, 0.06272960138955602, -0.042689678674408545, -0.11448871964347307, 0.06945117723188121, -0.17422743254962067, -0.202114206014408, 0.2865038955239234, 0.021928096321169977, 0.3143805766961089, 0.10109035460347379, 0.017552439161334876, -0.09178881054675138, 0.13973202457548015, 0.10850895950570702, -0.13547072768533663, -0.05484837831722365, 0.2550897771147666, -0.06252840162444584, 0.24507456032076366, -0.3432374796447995, -0.23172118649300602, 0.024728051686866415, 0.11173847261298862, 0.05490462056240412, -0.0541178608002762, -0.22505040692372455, 0.11569509475871369, -0.1330284814591761, -0.16751021541637817, -0.04129890203691536, 0.04184930207966654, -0.026140285414402133, -0.2507058875290332, 0.19584232157385148, 0.08723853918275347, 0.17269895266465568, -0.1148714458319807, -0.15158956366487675, -0.0766524707208629, -0.004147363854227243, 0.06269063757973965, 0.127728546762632, 0.18689981737622507, -0.10938218819253423, -0.005119363585038593, 0.34328363880653073, -0.09367132727056741, 0.02156068234083553, 0.15517080799435023, -0.22497876989827664, -0.0782716665830877, 0.23589796789887327, 0.12028434325389012, 0.0659570471038697, -0.08510797712434497, 0.026546315443960744, 0.022965823610623676, 0.2193119493899522, 0.09215497874689323, 0.008247088740959212, 0.23893577702584917, 0.16865739522478113, 0.07615934773348272, 0.17152539586165436, -0.12202540854923427, -0.058910071109938955, -0.22994937369323992, -0.1456439470458362, -0.13902085178393733, 0.045131652909158555, -0.1201685973146663, -0.17272995751765038, 0.2896632403049066, 0.15018133193564911, 0.25290040503648387, -0.03045108221143622, 0.2265159315671082, 0.13676830690043668, 0.11113554005407625, 0.11697968065531718, 0.2593316407867759, 0.21268680980256585, 0.1804165521972916, -0.3033682885234831, 0.08734258420213505, -0.021655405481794367] |
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