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709.0435 | A Generic Approach to Coalition Formation | We propose an abstract approach to coalition formation that focuses on simple
merge and split rules transforming partitions of a group of players. We
identify conditions under which every iteration of these rules yields a unique
partition. The main conceptual tool is a specific notion of a stable partition.
The results are parametrized by a preference relation between partitions of a
group of players and naturally apply to coalitional TU-games, hedonic games and
exchange economy games.
| cs.GT | we propose an abstract approach to coalition formation that focuses on simple merge and split rules transforming partitions of a group of players we identify conditions under which every iteration of these rules yields a unique partition the main conceptual tool is a specific notion of a stable partition the results are parametrized by a preference relation between partitions of a group of players and naturally apply to coalitional tugames hedonic games and exchange economy games | [['we', 'propose', 'an', 'abstract', 'approach', 'to', 'coalition', 'formation', 'that', 'focuses', 'on', 'simple', 'merge', 'and', 'split', 'rules', 'transforming', 'partitions', 'of', 'a', 'group', 'of', 'players', 'we', 'identify', 'conditions', 'under', 'which', 'every', 'iteration', 'of', 'these', 'rules', 'yields', 'a', 'unique', 'partition', 'the', 'main', 'conceptual', 'tool', 'is', 'a', 'specific', 'notion', 'of', 'a', 'stable', 'partition', 'the', 'results', 'are', 'parametrized', 'by', 'a', 'preference', 'relation', 'between', 'partitions', 'of', 'a', 'group', 'of', 'players', 'and', 'naturally', 'apply', 'to', 'coalitional', 'tugames', 'hedonic', 'games', 'and', 'exchange', 'economy', 'games']] | [-0.14832205058385928, 0.06907362038444262, -0.19399400452772778, 0.108077456530494, -0.13085254543460906, -0.15314627359310787, 0.154165232082208, 0.3825124600933244, -0.2884810294707616, -0.27405070565020045, 0.04076259730927025, -0.21331231653069457, -0.1742730664710204, 0.08278246601422627, -0.10634203430265188, -0.052605784647166726, 0.05557699563602606, 0.04588834354653955, 0.007682471352939805, -0.259074564712743, 0.3983955662883818, -0.0349644556765755, 0.25435139193820455, 0.020889809102906536, 0.1278376847008864, 0.022037102170288564, -0.022335657589137553, 0.07079033593957623, -0.13304109024087665, 0.15928870075692733, 0.2855689833095918, 0.20313526821012298, 0.3822971189022064, -0.3905990057978003, -0.09078614950800935, 0.14002032638837894, 0.08901732157294949, 0.07270179680082947, -0.038047949940276646, -0.26556819370637336, 0.09246348748604456, -0.2101401753599445, -0.06876450764015317, -0.08232214794649433, -0.004303402795145909, 0.02689590128759543, -0.33252362787723544, -0.028742451953391233, 0.06933415494393558, 0.03677150997022788, -0.08128193489586313, -0.11384472432856758, -0.03491191861219704, 0.15361153292159238, -0.022507848345364134, -0.032087022165457404, 0.1226036448768961, -0.12596251642952364, -0.212856692088147, 0.4256309658288956, 0.0114230902120471, -0.1729349084943533, 0.16067742423464854, -0.06289460936561227, -0.18443468197559318, 0.06113892577588558, 0.13533045894194703, 0.15224279730270307, -0.13227921564131975, 0.056162680915246406, -0.1278560229887565, 0.1550034185545519, 0.07061820128932596, -0.01273407744243741, 0.20663984070221583, 0.17674716271460056, 0.1608703965942065, 0.18352829018297295, 0.07254450660509368, -0.19446619818607966, -0.2900067224105199, -0.1365806344524026, -0.09261081847051779, 0.011950112457076709, -0.11656722644285765, -0.1796763021995624, 0.40480282773574194, 0.09082398449090154, 0.15204327317653224, 0.13430242449200402, 0.23914931990206242, 0.0886661750668039, 0.06693251221130292, 0.02065393889322877, 0.0895202032973369, 0.13236470414636037, 0.01770785360907515, -0.17775992859775822, 0.06599594555795192, 0.11748050256632268] |
709.0436 | Jacobi operators along the structure flow on real hypersurfaces in a
nonflat complex space form | Let $M$ be a real hypersurface of a complex space form with almost contact
metric structure $(\phi, \xi, \eta, g)$. In this paper, we study real
hypersurfaces in a complex space form whose structure Jacobi operator
$R_\xi=R(\cdot,\xi)\xi$ is $\xi$-parallel. In particular, we prove that the
condition $\nabla_{\xi} R_{\xi}=0$ characterizes the homogeneous real
hypersurfaces of type $A$ in a complex projective space or a complex hyperbolic
space when $R_{\xi} \phi S=S \phi R_{\xi}$ holds on $M$, where $S$ denotes the
Ricci tensor of type (1,1) on $M$.
| math.DG | let m be a real hypersurface of a complex space form with almost contact metric structure phi xi eta g in this paper we study real hypersurfaces in a complex space form whose structure jacobi operator r_xircdotxixi is xiparallel in particular we prove that the condition nabla_xi r_xi0 characterizes the homogeneous real hypersurfaces of type a in a complex projective space or a complex hyperbolic space when r_xi phi ss phi r_xi holds on m where s denotes the ricci tensor of type 11 on m | [['let', 'm', 'be', 'a', 'real', 'hypersurface', 'of', 'a', 'complex', 'space', 'form', 'with', 'almost', 'contact', 'metric', 'structure', 'phi', 'xi', 'eta', 'g', 'in', 'this', 'paper', 'we', 'study', 'real', 'hypersurfaces', 'in', 'a', 'complex', 'space', 'form', 'whose', 'structure', 'jacobi', 'operator', 'r_xircdotxixi', 'is', 'xiparallel', 'in', 'particular', 'we', 'prove', 'that', 'the', 'condition', 'nabla_xi', 'r_xi0', 'characterizes', 'the', 'homogeneous', 'real', 'hypersurfaces', 'of', 'type', 'a', 'in', 'a', 'complex', 'projective', 'space', 'or', 'a', 'complex', 'hyperbolic', 'space', 'when', 'r_xi', 'phi', 'ss', 'phi', 'r_xi', 'holds', 'on', 'm', 'where', 's', 'denotes', 'the', 'ricci', 'tensor', 'of', 'type', '11', 'on', 'm']] | [-0.2799752851516554, 0.1306839991991249, -0.058095741562727024, 0.03314113460208585, -0.09380452070248926, -0.15102602871952625, -0.06680111779274828, 0.32897701484673636, -0.24743190643990912, -0.1776432801810343, 0.04666761545714263, -0.24724589486992576, -0.2119531589191089, 0.15618914828590322, -0.05308566696760131, -0.04227482612889328, 0.06441032279157875, 0.15602650737571644, -0.13332865452791406, -0.2543547611581389, 0.4713759685571237, -0.1014957281465574, 0.16966637478369037, 0.00759895373612824, 0.11183458215716045, 0.02671548787280122, 0.030492455690031554, 0.03164795222379858, -0.18056737704576267, 0.09790850482758975, 0.21253263677765682, 0.09661103176271044, 0.20556312129071846, -0.30904248116606076, -0.18588382902941325, 0.2627408227417618, 0.1214045357504269, -0.10712553950725123, 0.042151884925438136, -0.29033434961172866, 0.10396121671741329, -0.07765930770646508, -0.17440721726473762, -0.06226035698157985, 0.0858603034668216, -0.04664280214744461, -0.2887110664898234, 0.012036279877420605, 0.05074750286776845, 0.09580845762861938, -0.06080359579972559, -0.07506129981541051, -0.051772069810639795, 0.013311436498131626, -0.04816259930148811, 0.13674403673957852, 0.0817005164217113, -0.06737248825261415, -0.01522817586480481, 0.4063763685138306, -0.12962969522582504, -0.3264587948598513, 0.08851145941014515, -0.22356492078227058, -0.14122214129694352, 0.09445571019768534, 0.18720596517640642, 0.19135775655031023, -0.02724943453358719, 0.29801605765639644, -0.09909540314863367, 0.11430852402501353, 0.0988919761645176, -0.04738305317714992, 0.08642019244569649, 0.11022181680891663, 0.10061388917298555, 0.10088224300018671, 0.020874452339939592, -0.059047629238992205, -0.4010973937991189, -0.270122472208175, -0.16183189536649278, 0.20509878576665028, -0.16303728141526624, -0.19240294927276852, 0.3276165044786999, -0.07452372002710657, 0.27340145735141097, 0.07770226452863072, 0.22388445149834563, 0.040232433103416794, 0.014985655360605294, 0.10520901599126618, 0.10236313405287702, 0.18451375291660066, 0.08906244025452108, -0.13314574592315206, -0.03640460396162802, 0.11511949525873472] |
709.0437 | Assembly Maps for Group Extensions in $K$-Theory and $L$-Theory with
Twisted Coefficients | In this paper we show that the Farrell-Jones isomorphism conjectures are
inherited in group extensions for assembly maps in algebraic $K$-theory and
$L$-theory with twisted coefficients.
| math.KT math.AT | in this paper we show that the farrelljones isomorphism conjectures are inherited in group extensions for assembly maps in algebraic ktheory and ltheory with twisted coefficients | [['in', 'this', 'paper', 'we', 'show', 'that', 'the', 'farrelljones', 'isomorphism', 'conjectures', 'are', 'inherited', 'in', 'group', 'extensions', 'for', 'assembly', 'maps', 'in', 'algebraic', 'ktheory', 'and', 'ltheory', 'with', 'twisted', 'coefficients']] | [-0.20117050430809075, 0.07125853105949667, -0.11618116583961707, 0.09458698072166254, -0.08340838802261995, -0.1052549545868085, -0.10110857899641044, 0.3927403430526073, -0.4316825998517183, -0.23670040998751155, 0.1331768819139912, -0.23185101577949424, -0.25340518512978005, 0.21371822317059225, -0.22520147464596307, -0.04614375126906312, 0.06147716541846211, -0.005973154464020179, -0.11700741784611288, -0.317650064776759, 0.4462317509863239, -0.054903869732068136, 0.17943429595862442, 0.07204211159394337, 0.07436540053011133, 0.012012168747158004, -0.05553903402044223, -0.022924557543144777, -0.1970988887537365, 0.1597057063705646, 0.37858958456378716, 0.02459023162149466, 0.07805258830865988, -0.3821102795907511, -0.08154642750294162, 0.15894490195653185, 0.1437649609114697, 0.010616092512813898, -0.12116724155986539, -0.24879390123085335, 0.17072244318058857, -0.1536200509334986, -0.08932850219739172, -0.08849378904694906, 0.035114961698687136, 0.007609688461973117, -0.2140688901910415, -0.010002730521731652, 0.07428266595189388, 0.18007453258794087, -0.14460485459018785, -0.034250846378899254, -0.014360907344290843, 0.10709013180950513, -0.016134261296918757, -0.03410093982417423, 0.11449933641303617, -0.13423884304491088, -0.18432631705386135, 0.3631033871609431, -0.07913125990531765, -0.16042311661518538, 0.12777526619342658, -0.18804686301602766, -0.35135525008305335, 0.08889067717469655, 0.012769081988013707, 0.0865508274963269, 0.03066080489840645, 0.23561307898713635, -0.19816366898325774, 0.07671906293119089, 0.12567146443045482, -0.04563560378021346, 0.09709016825609769, -0.03665767262618129, 0.06308573907097945, 0.16482007747086194, 0.13555237020437533, -0.03903872834948393, -0.2903937885824304, -0.24744297769995263, -0.009209532720538286, 0.14538110935917267, -0.0743711587537501, -0.1507015571069832, 0.4286203053421699, 0.17323695921983856, 0.17288627557886335, 0.21879258938133717, 0.22333713692541307, 0.0049042718198436955, 0.04861503818000738, 0.04829704052267166, 0.08382535958662629, 0.31350792579066294, -0.041602567124825254, -0.11996313055547383, -0.07620000588492705, 0.2806289564603223] |
709.0438 | Log Minimal Model Program for the Kontsevich Space of Stable Maps
$\bar{\mathcal M}_{0,0}(\mathbb P^{3}, 3)$ | This work is inspired by conversations with Izzet Coskun and Joe Harris. We
run the log minimal model program for the Kontsevich space of stable maps
$\bar{\mathcal M}_{0,0}(\mathbb P^{3}, 3)$ and give modular interpretations to
all the intermediate spaces appearing in the process. In particular, we show
that one component of the Hilbert scheme $\mathcal H_{3,0,3}$ is the flip of
$\bar{\mathcal M}_{0,0}(\mathbb P^{3}, 3)$ over the Chow variety. Finally as an
easy corollary we obtain that $\bar{\mathcal M}_{0,0}(\mathbb P^{3}, 3)$ is a
Mori dream space.
| math.AG | this work is inspired by conversations with izzet coskun and joe harris we run the log minimal model program for the kontsevich space of stable maps barmathcal m_00mathbb p3 3 and give modular interpretations to all the intermediate spaces appearing in the process in particular we show that one component of the hilbert scheme mathcal h_303 is the flip of barmathcal m_00mathbb p3 3 over the chow variety finally as an easy corollary we obtain that barmathcal m_00mathbb p3 3 is a mori dream space | [['this', 'work', 'is', 'inspired', 'by', 'conversations', 'with', 'izzet', 'coskun', 'and', 'joe', 'harris', 'we', 'run', 'the', 'log', 'minimal', 'model', 'program', 'for', 'the', 'kontsevich', 'space', 'of', 'stable', 'maps', 'barmathcal', 'm_00mathbb', 'p3', '3', 'and', 'give', 'modular', 'interpretations', 'to', 'all', 'the', 'intermediate', 'spaces', 'appearing', 'in', 'the', 'process', 'in', 'particular', 'we', 'show', 'that', 'one', 'component', 'of', 'the', 'hilbert', 'scheme', 'mathcal', 'h_303', 'is', 'the', 'flip', 'of', 'barmathcal', 'm_00mathbb', 'p3', '3', 'over', 'the', 'chow', 'variety', 'finally', 'as', 'an', 'easy', 'corollary', 'we', 'obtain', 'that', 'barmathcal', 'm_00mathbb', 'p3', '3', 'is', 'a', 'mori', 'dream', 'space']] | [-0.1558018835957151, 0.059899987376762096, -0.09726710058748722, 0.0876171324713163, -0.05309729436861284, -0.1465390515513718, 0.002416337851479829, 0.3435092008762421, -0.2916571205336017, -0.2239763846127204, 0.11436374050407973, -0.21854006067053022, -0.17053530538028264, 0.22166508958809616, -0.13265309496558306, -0.02388730957397226, 0.007614856333393289, 0.017744678095072866, -0.06586828094160925, -0.3845645622700924, 0.3619887034720124, -0.02017391602093556, 0.18097212269105556, 0.020960432589502937, 0.1107598728281502, 0.05517711585208056, 0.009469364158225706, -0.08724453920815477, -0.17752668243101433, 0.11800220577012613, 0.29369945144168585, 0.12696780906765756, 0.17257941206945218, -0.34742087056209525, -0.12144548064995422, 0.17036144686750618, 0.1321151662191533, 0.03071611724704145, 0.02754946312227522, -0.2232761366449925, 0.10791073684546962, -0.20403750204896354, -0.13873882356369083, -0.11823523628065385, 0.10117160637739551, -0.03887908093361969, -0.2507676442927984, -0.043409569284328854, 0.11679996695952961, 0.1292445574696344, -0.04656701064836907, -0.09541636625450688, -0.05824682618076184, 0.06464887865403869, -0.025297355747302006, 0.15071539149103486, 0.056474924676614, -0.07381021255940755, -0.14292711261884275, 0.3353817161419485, -0.07309122599313507, -0.1377089539969183, 0.11030452893429761, -0.14138479701927806, -0.1687418899543763, 0.11825879513992961, 0.06230520847511579, 0.17291829070772033, 0.015295939564884427, 0.1839148326572143, -0.14075826325016208, 0.07728579052420984, 0.08139276483197169, -0.05354433694113809, 0.05323973219527538, 0.1294989933747888, 0.05154889295752867, 0.10170522418591273, -0.05532468641362664, -0.04303519437524367, -0.36728012301476604, -0.240777714503368, -0.08206200122928628, 0.11020668556476124, -0.09720689736563343, -0.10633255936295154, 0.36676793805678926, 0.07627471922391868, 0.23355229279722076, 0.11968577198729098, 0.2134984896058239, 0.010085187284331993, 0.013810568668666375, 0.07996924535135727, 0.12298021001842277, 0.12047243110712123, 0.02779299935679434, -0.09607992501345923, -0.008944095241422036, 0.16689693378508988] |
709.0439 | Cluster Model for Near-barrier Fusion Induced by Weakly Bound and Halo
Nuclei | The influence on the fusion process of coupling transfer/breakup channels is
investigated for the medium weight $^{6,7}$Li+$^{59}$Co systems in the vicinity
of the Coulomb barrier. Coupling effects are discussed within a comparison of
predictions of the Continuum Discretized Coupled-Channels model. Applications
to $^{6}$He+$^{59}$Co induced by the borromean halo nucleus $^{6}$He are also
proposed.
| nucl-th nucl-ex | the influence on the fusion process of coupling transferbreakup channels is investigated for the medium weight 67li59co systems in the vicinity of the coulomb barrier coupling effects are discussed within a comparison of predictions of the continuum discretized coupledchannels model applications to 6he59co induced by the borromean halo nucleus 6he are also proposed | [['the', 'influence', 'on', 'the', 'fusion', 'process', 'of', 'coupling', 'transferbreakup', 'channels', 'is', 'investigated', 'for', 'the', 'medium', 'weight', '67li59co', 'systems', 'in', 'the', 'vicinity', 'of', 'the', 'coulomb', 'barrier', 'coupling', 'effects', 'are', 'discussed', 'within', 'a', 'comparison', 'of', 'predictions', 'of', 'the', 'continuum', 'discretized', 'coupledchannels', 'model', 'applications', 'to', '6he59co', 'induced', 'by', 'the', 'borromean', 'halo', 'nucleus', '6he', 'are', 'also', 'proposed']] | [-0.10865963937714695, 0.1194240552932024, -0.058982223169878126, 0.10969187524071458, 0.03094478849321604, -0.09133358958177268, 0.04120485758408904, 0.3941941852867603, -0.2417981232330203, -0.2387896729260683, -0.017410717031452805, -0.29976139750331643, -0.08515131109394133, 0.1352759291185066, 0.06530331626068801, 0.04351909401360899, 0.0686919648759067, 0.02773696281015873, -0.016187427937984465, -0.1681142881885171, 0.3692658988945186, 0.10482825538143516, 0.25074616793543103, 0.1483595141513797, 0.0434669385291636, 0.052964735232526435, 0.013278584331274032, -0.033657939024269584, -0.09942815594375133, 0.0762203024700284, 0.19923095818609, -0.027891365233808755, 0.20512098502367734, -0.408507235981524, -0.2605592226982117, 0.04243826137855649, 0.18031113730743528, 0.1291567623242736, -0.08147287884028628, -0.3470598930120468, 0.03276443403447047, -0.22612275414168834, -0.15085720852948725, -0.022646120563149453, 0.0354851109161973, 0.04770853277295828, -0.2836486219242215, 0.08885525096266064, -0.0006866329535841942, 0.005775893777608871, -0.1157776496745646, -0.1728933540545404, -0.03415528899058699, 0.09094355531968176, 0.03644507884222548, -0.026469593374058603, 0.2502345999330282, -0.1477191155788023, -0.0707944752869662, 0.412012458704412, -0.020751147009432317, -0.16762849066406488, 0.16232290679588915, -0.09494780479930341, -0.09073965318500996, 0.16718080261722207, 0.17541990122757853, 0.09948785885237157, -0.18325113418512046, 0.09996036732569337, -0.020672570895403624, 0.12195334080606698, 0.05034752816427499, 0.041284878104925156, 0.15267970837652683, 0.2164481058344245, -0.03318384861573577, 0.11369407478719949, -0.11726270577404647, -0.1872231164947152, -0.3186929668486118, -0.04797225218266249, -0.14295647332444786, -0.03714115370530635, -0.056030518701300026, -0.10958232747390867, 0.36659203945484475, 0.11026346165686846, 0.17759954755660146, -0.03124733241740614, 0.2855604835599661, 0.12517215982079505, 0.07839399427175522, 0.005946905547752976, 0.3424003347568214, 0.24967357736546547, 0.003523052101954818, -0.30212333501316607, 0.04768220696423668, 0.06306324729230255] |
709.044 | Are volatility estimators robust with respect to modeling assumptions? | We consider microstructure as an arbitrary contamination of the underlying
latent securities price, through a Markov kernel $Q$. Special cases include
additive error, rounding and combinations thereof. Our main result is that,
subject to smoothness conditions, the two scales realized volatility is robust
to the form of contamination $Q$. To push the limits of our result, we show
what happens for some models that involve rounding (which is not, of course,
smooth) and see in this situation how the robustness deteriorates with
decreasing smoothness. Our conclusion is that under reasonable smoothness, one
does not need to consider too closely how the microstructure is formed, while
if severe non-smoothness is suspected, one needs to pay attention to the
precise structure and also the use to which the estimator of volatility will be
put.
| q-fin.ST math.ST stat.TH | we consider microstructure as an arbitrary contamination of the underlying latent securities price through a markov kernel q special cases include additive error rounding and combinations thereof our main result is that subject to smoothness conditions the two scales realized volatility is robust to the form of contamination q to push the limits of our result we show what happens for some models that involve rounding which is not of course smooth and see in this situation how the robustness deteriorates with decreasing smoothness our conclusion is that under reasonable smoothness one does not need to consider too closely how the microstructure is formed while if severe nonsmoothness is suspected one needs to pay attention to the precise structure and also the use to which the estimator of volatility will be put | [['we', 'consider', 'microstructure', 'as', 'an', 'arbitrary', 'contamination', 'of', 'the', 'underlying', 'latent', 'securities', 'price', 'through', 'a', 'markov', 'kernel', 'q', 'special', 'cases', 'include', 'additive', 'error', 'rounding', 'and', 'combinations', 'thereof', 'our', 'main', 'result', 'is', 'that', 'subject', 'to', 'smoothness', 'conditions', 'the', 'two', 'scales', 'realized', 'volatility', 'is', 'robust', 'to', 'the', 'form', 'of', 'contamination', 'q', 'to', 'push', 'the', 'limits', 'of', 'our', 'result', 'we', 'show', 'what', 'happens', 'for', 'some', 'models', 'that', 'involve', 'rounding', 'which', 'is', 'not', 'of', 'course', 'smooth', 'and', 'see', 'in', 'this', 'situation', 'how', 'the', 'robustness', 'deteriorates', 'with', 'decreasing', 'smoothness', 'our', 'conclusion', 'is', 'that', 'under', 'reasonable', 'smoothness', 'one', 'does', 'not', 'need', 'to', 'consider', 'too', 'closely', 'how', 'the', 'microstructure', 'is', 'formed', 'while', 'if', 'severe', 'nonsmoothness', 'is', 'suspected', 'one', 'needs', 'to', 'pay', 'attention', 'to', 'the', 'precise', 'structure', 'and', 'also', 'the', 'use', 'to', 'which', 'the', 'estimator', 'of', 'volatility', 'will', 'be', 'put']] | [-0.06834348319160088, 0.08780765717694355, -0.10619661435350392, 0.11760930390058395, -0.1456103239007379, -0.1655466260289717, 0.05958232924934815, 0.398607262269114, -0.30244904144130874, -0.2506464355709878, 0.15800784466079099, -0.2246159331072263, -0.15873649047165544, 0.17304785375370446, -0.17271560139135655, 0.02212925653227351, 0.03406886686394556, 0.010926629663586165, -0.054054477066859945, -0.33974549252800923, 0.3361061352629666, 0.0625662875933234, 0.2506704219955612, 0.050682507742418566, 0.0653892374689211, -0.018594065619447174, -0.007478227718930804, -0.0074771972941892854, -0.12850658973641685, 0.08826354760888287, 0.24311116118188333, 0.10105774301513465, 0.31838513007846125, -0.4179403335208807, -0.21802386269678897, 0.14858629823323677, 0.08337627303659577, 0.07151138569778678, 0.000328594698768222, -0.219637379986869, 0.08620404898079648, -0.14528921613413276, -0.13135534344297467, -0.09087442465225291, -0.006621627666225488, 0.00816731402521713, -0.3112310481413839, 0.06446677367145612, 0.1318084311981996, -0.019449512904181822, -0.014722705173136836, -0.11074653877100597, -0.0292350157220481, 0.10976389357044052, 0.130010692221042, 0.0208508745567859, 0.1187308832092888, -0.12224842150603901, -0.06795965105111738, 0.385923139877956, -0.036245245943339825, -0.2600379551506855, 0.17327187613453576, -0.16471185608393032, -0.14911822204224087, 0.11778918401537478, 0.16552771310406653, 0.06541804903694852, -0.12085963313681229, 0.07444106258855865, -0.01697076719243672, 0.1945614120905344, 0.06161093928456081, 0.021195546127714668, 0.1335925407510138, 0.1318117453519142, 0.1312643946845183, 0.14074429286781445, -0.06862184041617156, -0.09001192196879085, -0.32326611973853275, -0.09308443703886235, -0.16261844976036105, 0.06735043987216406, -0.10032113805507172, -0.17893804798862248, 0.3351969495592074, 0.19648125325682375, 0.21070737732136904, 0.05915303850391259, 0.2795177800580859, 0.11397195746240234, 0.03955500509420579, 0.04377976076846773, 0.2106782488613548, 0.09326852572231667, 0.059645763900003985, -0.17626318812218608, 0.17331306157619553, 0.01818656606712576] |
709.0441 | Progress and challenges in the theory of nuclei | Nuclear theory today aims for a comprehensive theoretical framework that can
describe all nuclei. I discuss recent progress in this pursuit and the
associated challenges as we move forward.
| nucl-th | nuclear theory today aims for a comprehensive theoretical framework that can describe all nuclei i discuss recent progress in this pursuit and the associated challenges as we move forward | [['nuclear', 'theory', 'today', 'aims', 'for', 'a', 'comprehensive', 'theoretical', 'framework', 'that', 'can', 'describe', 'all', 'nuclei', 'i', 'discuss', 'recent', 'progress', 'in', 'this', 'pursuit', 'and', 'the', 'associated', 'challenges', 'as', 'we', 'move', 'forward']] | [-0.04275583827482729, 0.10008035365749023, -0.10225495137274265, 0.09344230124582376, -0.10865582222247432, -0.10156677809447565, 0.019731927097068523, 0.40718663695814283, -0.2697702307125618, -0.23536335792520952, 0.06942264317807838, -0.284846442109295, -0.18670867637185187, 0.1427041956319891, -0.08842770398819241, 0.06407787856356852, 0.04369704373951616, -0.00202705846007528, -0.08361961036631517, -0.17611275166915408, 0.26788902438470513, 0.06606556757770736, 0.2821267986477449, 0.0911286245260773, 0.03894600781997473, 0.003721553382688555, -0.08238743719291584, 0.023535042716158104, -0.14886462294365127, 0.20191616173191318, 0.33721376788513413, 0.232088888240657, 0.37264755830682555, -0.5521701104168234, -0.21073516121069932, 0.05893185721903012, 0.18590875470946575, 0.17223980136472603, -0.16952121508275642, -0.19343542760430738, 0.07712101534908188, -0.22305698416613298, -0.20801387101026445, -0.1391850989954225, 0.02091633358263764, 0.01586755622049858, -0.1479506213458833, -0.02005957047744044, 0.0282044917794651, 0.01103912894453468, -0.041492999659786964, -0.1728294806008966, 0.1299708098943891, 0.12856200628046846, 0.048601081996256935, 0.08394057276369683, 0.09764040584258478, -0.16302250292762344, -0.19421139059202938, 0.4031347283965041, -0.02743158791342686, -0.08349436069517557, 0.17597344007086138, -0.10310368811518981, -0.2659767049782235, 0.042052322613268064, 0.23590931758798403, 0.10912608040159504, -0.1618966827297519, 0.10483555248256066, -0.06073997940482764, 0.05725075214587409, -0.07042949303888299, 0.01642680829712029, 0.25543756783008575, 0.22151608617398247, 0.04077686432042513, 0.02792911184951663, -0.07409348306928537, -0.10255049543198326, -0.358936407185834, -0.12205593891698739, -0.033634017217615296, 0.00024302946082476913, 0.044526472078046185, -0.025555235719115568, 0.4013413393163475, 0.18610812330233126, 0.2225978146788889, -0.009225038080957943, 0.350655113924937, 0.01884363677978901, -0.03530186369758228, 0.055886647021719096, 0.3061317005355296, 0.14446777452168794, 0.10067152222297315, -0.20600777562579203, 0.04638936798136424, 0.04954228649750866] |
709.0442 | Thermal diagnostic of the Optical Window on board LISA Pathfinder | Vacuum conditions inside the LTP Gravitational Reference Sensor must comply
with rather demanding requirements. The Optical Window (OW) is an interface
which seals the vacuum enclosure and, at the same time, lets the laser beam go
through for interferometric Metrology with the test masses. The OW is a
plane-parallel plate clamped in a Titanium flange, and is considerably
sensitive to thermal and stress fluctuations. It is critical for the required
precision measurements, hence its temperature will be carefully monitored in
flight. This paper reports on the results of a series of OW characterisation
laboratory runs, intended to study its response to selected thermal signals, as
well as their fit to numerical models, and the meaning of the latter. We find
that a single pole ARMA transfer function provides a consistent approximation
to the OW response to thermal excitations, and derive a relationship with the
physical processes taking place in the OW. We also show how system noise
reduction can be accomplished by means of that transfer function.
| gr-qc | vacuum conditions inside the ltp gravitational reference sensor must comply with rather demanding requirements the optical window ow is an interface which seals the vacuum enclosure and at the same time lets the laser beam go through for interferometric metrology with the test masses the ow is a planeparallel plate clamped in a titanium flange and is considerably sensitive to thermal and stress fluctuations it is critical for the required precision measurements hence its temperature will be carefully monitored in flight this paper reports on the results of a series of ow characterisation laboratory runs intended to study its response to selected thermal signals as well as their fit to numerical models and the meaning of the latter we find that a single pole arma transfer function provides a consistent approximation to the ow response to thermal excitations and derive a relationship with the physical processes taking place in the ow we also show how system noise reduction can be accomplished by means of that transfer function | [['vacuum', 'conditions', 'inside', 'the', 'ltp', 'gravitational', 'reference', 'sensor', 'must', 'comply', 'with', 'rather', 'demanding', 'requirements', 'the', 'optical', 'window', 'ow', 'is', 'an', 'interface', 'which', 'seals', 'the', 'vacuum', 'enclosure', 'and', 'at', 'the', 'same', 'time', 'lets', 'the', 'laser', 'beam', 'go', 'through', 'for', 'interferometric', 'metrology', 'with', 'the', 'test', 'masses', 'the', 'ow', 'is', 'a', 'planeparallel', 'plate', 'clamped', 'in', 'a', 'titanium', 'flange', 'and', 'is', 'considerably', 'sensitive', 'to', 'thermal', 'and', 'stress', 'fluctuations', 'it', 'is', 'critical', 'for', 'the', 'required', 'precision', 'measurements', 'hence', 'its', 'temperature', 'will', 'be', 'carefully', 'monitored', 'in', 'flight', 'this', 'paper', 'reports', 'on', 'the', 'results', 'of', 'a', 'series', 'of', 'ow', 'characterisation', 'laboratory', 'runs', 'intended', 'to', 'study', 'its', 'response', 'to', 'selected', 'thermal', 'signals', 'as', 'well', 'as', 'their', 'fit', 'to', 'numerical', 'models', 'and', 'the', 'meaning', 'of', 'the', 'latter', 'we', 'find', 'that', 'a', 'single', 'pole', 'arma', 'transfer', 'function', 'provides', 'a', 'consistent', 'approximation', 'to', 'the', 'ow', 'response', 'to', 'thermal', 'excitations', 'and', 'derive', 'a', 'relationship', 'with', 'the', 'physical', 'processes', 'taking', 'place', 'in', 'the', 'ow', 'we', 'also', 'show', 'how', 'system', 'noise', 'reduction', 'can', 'be', 'accomplished', 'by', 'means', 'of', 'that', 'transfer', 'function']] | [-0.09905301587057333, 0.1479332262604298, -0.12355333075630004, 0.030891185962388705, -0.057845656546725036, -0.12590307363136086, 0.049661768697241246, 0.38371381027523627, -0.2610974445155526, -0.3113587124908934, 0.11879305931332404, -0.25701736749155435, -0.08731588262306181, 0.19768581373064953, -0.04082277133742983, 0.08729371660274682, 0.04314052285682298, 0.018530092211886347, -0.061332857862935214, -0.1842199533377512, 0.2570195331678776, 0.1453841233697112, 0.27593014957829415, 0.01814258305779742, 0.09980026944568325, 0.002472000221671637, -0.02236116182304428, 0.002910732919723911, -0.12316455791084288, 0.03475544508476881, 0.20597651066540612, 0.07507890836519752, 0.21964521968770706, -0.4456185991624872, -0.21533414543310772, 0.04747127310285229, 0.09833662288854579, 0.08754060179215416, -0.029062497283856268, -0.2500847313681361, 0.04418457787996995, -0.12651248052186462, -0.13620611945582653, -0.06053858288301679, -0.005348362658775138, 0.013374850671169555, -0.30230611327946366, 0.027925327708658867, 0.019129366416645845, 0.03274746812478511, -0.07717102173364493, -0.07768951072622492, -0.019966037436472083, 0.13647535759509502, 0.014960092495189991, 0.03771526605228219, 0.1911121910147949, -0.11668722199772423, -0.03606494182921544, 0.3949051673920033, -0.10473925830143878, -0.18728718983600595, 0.19047195023806865, -0.16090362092680827, -0.06273420623358629, 0.13239942575124522, 0.16035866335454024, 0.09290863165051905, -0.18391579362245913, 0.020347267218159992, 0.02192831885984201, 0.20103723204187202, 0.07566840391505711, 0.030336127270704616, 0.21584258735330475, 0.1976324142051671, 0.033975479793930036, 0.16969670805923953, -0.103450849207542, -0.03491494613337124, -0.33292336885024054, -0.16870814345046475, -0.15983775851155024, 0.026082940974055294, -0.049220093636348994, -0.15087264062401778, 0.3682856143418766, 0.15591830208139149, 0.15770588594929366, 0.03617433788363604, 0.33203848088606297, 0.11762027581805129, 0.06463078516368158, 0.04119721761051409, 0.2810927007380806, 0.11506310673458446, 0.16965533961391377, -0.22662270431891976, 0.05980678383974793, 0.005181068480628247] |
709.0443 | Similar self-organizing scale-invariant properties characterize early
cancer invasion and long range species spread | Occupancy of new habitats through dispersion is a central process in nature.
In particular, long range dispersal is involved in the spread of species and
epidemics, although it has not been previously related with cancer invasion, a
process that involves spread to new tissues. We show that the early spread of
cancer cells is similar to the species individuals spread and that both
processes are represented by a common spatio-temporal signature, characterized
by a particular fractal geometry of the boundaries of patches generated, and a
power law-scaled, disrupted patch size distribution. We show that both
properties are a direct result of long-distance dispersal, and that they
reflect homologous ecological processes of population self-organization. Our
results are significant for processes involving long-range dispersal like
biological invasions, epidemics and cancer metastasis.
| q-bio.PE q-bio.CB | occupancy of new habitats through dispersion is a central process in nature in particular long range dispersal is involved in the spread of species and epidemics although it has not been previously related with cancer invasion a process that involves spread to new tissues we show that the early spread of cancer cells is similar to the species individuals spread and that both processes are represented by a common spatiotemporal signature characterized by a particular fractal geometry of the boundaries of patches generated and a power lawscaled disrupted patch size distribution we show that both properties are a direct result of longdistance dispersal and that they reflect homologous ecological processes of population selforganization our results are significant for processes involving longrange dispersal like biological invasions epidemics and cancer metastasis | [['occupancy', 'of', 'new', 'habitats', 'through', 'dispersion', 'is', 'a', 'central', 'process', 'in', 'nature', 'in', 'particular', 'long', 'range', 'dispersal', 'is', 'involved', 'in', 'the', 'spread', 'of', 'species', 'and', 'epidemics', 'although', 'it', 'has', 'not', 'been', 'previously', 'related', 'with', 'cancer', 'invasion', 'a', 'process', 'that', 'involves', 'spread', 'to', 'new', 'tissues', 'we', 'show', 'that', 'the', 'early', 'spread', 'of', 'cancer', 'cells', 'is', 'similar', 'to', 'the', 'species', 'individuals', 'spread', 'and', 'that', 'both', 'processes', 'are', 'represented', 'by', 'a', 'common', 'spatiotemporal', 'signature', 'characterized', 'by', 'a', 'particular', 'fractal', 'geometry', 'of', 'the', 'boundaries', 'of', 'patches', 'generated', 'and', 'a', 'power', 'lawscaled', 'disrupted', 'patch', 'size', 'distribution', 'we', 'show', 'that', 'both', 'properties', 'are', 'a', 'direct', 'result', 'of', 'longdistance', 'dispersal', 'and', 'that', 'they', 'reflect', 'homologous', 'ecological', 'processes', 'of', 'population', 'selforganization', 'our', 'results', 'are', 'significant', 'for', 'processes', 'involving', 'longrange', 'dispersal', 'like', 'biological', 'invasions', 'epidemics', 'and', 'cancer', 'metastasis']] | [-0.08607946302072378, 0.16904563476055046, -0.05930561559580383, 0.11086982214706609, -0.012403238946717465, -0.10752370979025727, 0.027483018309794716, 0.38875084699247964, -0.25276619978194503, -0.21213766060827766, 0.08611728830237553, -0.27509682194067864, -0.24692819920892362, 0.16700776305879117, -0.07324803286974202, -0.020220668262481922, 0.08494904672261328, -0.0424156536537339, 0.11082529987197631, -0.2450112445258128, 0.3341021610558528, 0.042681604180870636, 0.2730697821243666, 0.0363922055967123, 0.09532282744112308, -0.04177941095622373, -0.04174674878595397, 0.02859324455494061, -0.09995269971437892, 0.10186157201678725, 0.26516050573263783, 0.17772643608441285, 0.3042399432815728, -0.4479306694411207, -0.32207456638570875, 0.13821567438571947, 0.21947509751862526, 0.12433264773062547, -0.06350387972270255, -0.25442975005898916, 0.03692983296059538, -0.1500433744804468, -0.1372416488811723, -0.023479544855945278, 0.07017488920018877, 0.07615380581410136, -0.27886553952339455, 0.1582335420380332, 0.05360073328120052, 0.10414077318637283, -0.03685305959152174, -0.08449185591962305, -0.09097108018795552, 0.2242986276614829, 0.06147632813781456, -0.05476737286153366, 0.192497269337764, -0.1551580198974989, -0.11726671086944407, 0.3362031663127709, 0.0021846176132385153, -0.14923521568562137, 0.2797045597471879, -0.18138792937315884, -0.10320915494776273, 0.153437508179195, 0.2050063774076989, 0.08235061982304615, -0.20402860025205882, -0.017722752007557574, -0.008623923484265106, 0.145244804702088, 0.09627292208824656, 0.0001253992559213657, 0.19621270629795617, 0.23695775955457066, 0.040393484821834136, 0.05984575150250748, -0.08556732833415026, -0.16255966830431134, -0.21614315222541336, -0.14998304951950558, -0.1347674326316337, 0.0500874396512927, -0.104856341551681, -0.20582145946536912, 0.3881595754974114, 0.12333900821704447, 0.2089781432696327, 0.026797720187460072, 0.19808729542819492, 0.045686308517360885, 0.10803060046600876, 0.014732844603713602, 0.15026484796544537, 0.07397186618982232, 0.09359473203267044, -0.21040182085653214, 0.20748128380000708, -0.005771754185843747] |
709.0444 | Vortices in the two-dimensional Simple Exclusion Process | We show that the fluctuations of the partial current in two dimensional
diffusive systems are dominated by vortices leading to a different scaling from
the one predicted by the hydrodynamic large deviation theory. This is supported
by exact computations of the variance of partial current fluctuations for the
symmetric simple exclusion process on general graphs. On a two-dimensional
torus, our exact expressions are compared to the results of numerical
simulations. They confirm the logarithmic dependence on the system size of the
fluctuations of the partialflux. The impact of the vortices on the validity of
the fluctuation relation for partial currents is also discussed.
| cond-mat.stat-mech | we show that the fluctuations of the partial current in two dimensional diffusive systems are dominated by vortices leading to a different scaling from the one predicted by the hydrodynamic large deviation theory this is supported by exact computations of the variance of partial current fluctuations for the symmetric simple exclusion process on general graphs on a twodimensional torus our exact expressions are compared to the results of numerical simulations they confirm the logarithmic dependence on the system size of the fluctuations of the partialflux the impact of the vortices on the validity of the fluctuation relation for partial currents is also discussed | [['we', 'show', 'that', 'the', 'fluctuations', 'of', 'the', 'partial', 'current', 'in', 'two', 'dimensional', 'diffusive', 'systems', 'are', 'dominated', 'by', 'vortices', 'leading', 'to', 'a', 'different', 'scaling', 'from', 'the', 'one', 'predicted', 'by', 'the', 'hydrodynamic', 'large', 'deviation', 'theory', 'this', 'is', 'supported', 'by', 'exact', 'computations', 'of', 'the', 'variance', 'of', 'partial', 'current', 'fluctuations', 'for', 'the', 'symmetric', 'simple', 'exclusion', 'process', 'on', 'general', 'graphs', 'on', 'a', 'twodimensional', 'torus', 'our', 'exact', 'expressions', 'are', 'compared', 'to', 'the', 'results', 'of', 'numerical', 'simulations', 'they', 'confirm', 'the', 'logarithmic', 'dependence', 'on', 'the', 'system', 'size', 'of', 'the', 'fluctuations', 'of', 'the', 'partialflux', 'the', 'impact', 'of', 'the', 'vortices', 'on', 'the', 'validity', 'of', 'the', 'fluctuation', 'relation', 'for', 'partial', 'currents', 'is', 'also', 'discussed']] | [-0.1555630586066685, 0.11689169537367336, -0.06390687131195091, 0.09612955892519975, -0.0039980838385721045, -0.036233126441491584, 0.03025538978473895, 0.2841172349164445, -0.23666537472722576, -0.2380573506120081, 0.12422408853707761, -0.30429902439480466, -0.12371062942068367, 0.22821534150188752, 0.005929837441619705, 0.04664081000430765, 0.015071430718343631, 0.029067004069813763, -0.07242133565630544, -0.22926180919303613, 0.35555227240775805, 0.05339512743019298, 0.3038408204995315, 0.07246003884539082, 0.0758412945696025, -0.0367397488775097, -0.05274263898129849, 0.08097213493915749, -0.16057605272897704, 0.10608756425790489, 0.14379352817138402, 0.010874028317630291, 0.19782412379943565, -0.4535792828263605, -0.20013169409232398, 0.040044210139004624, 0.13792846923438357, 0.14858220078909368, -0.03447934474759534, -0.2844003900616229, 0.08886679432665308, -0.15907783391337624, -0.13664418945029633, -0.0560741853516768, 0.0312314599720469, 0.07868483273641151, -0.2627920688988239, 0.13542533748727245, 0.0797580102796429, 0.03618537921084128, -0.0276296772770401, -0.10650783695289683, -0.039859111861362324, 0.10799640643766478, 0.06168606623460244, -0.03696358819291288, 0.11800022878428447, -0.16539296674790083, -0.13683103534219532, 0.3600751502695037, -0.06695675895339352, -0.23225835427714914, 0.18860869605422897, -0.19231406639001386, -0.09314956898143624, 0.15080048457956782, 0.1566553458881875, 0.10599857731665228, -0.10795694210694409, 0.08049367409309044, -0.0599658012335353, 0.13424100162913366, 0.01687093866149, -0.015573929216342923, 0.20570694874314702, 0.16166361908921423, 0.02797919402227682, 0.13566797129198105, -0.06266770462560303, -0.16703722765212695, -0.3386670728761922, -0.11114401915612832, -0.19642918474753113, 0.05288361449150697, -0.13478770125035297, -0.15690628115964286, 0.39190671066114424, 0.17670461317403333, 0.19813645658923276, 0.08847132795827016, 0.28724615716411933, 0.17378132527936066, 0.04523004625248266, 0.0548975717175898, 0.2539399402471734, 0.1529419176330717, 0.06655087272691376, -0.2846466734772548, 0.052004970906886695, 0.059421057052745974] |
709.0445 | Magnetic Braking and Protostellar Disk Formation: The Ideal MHD Limit | Magnetic fields are usually considered dynamically important in star
formation when the dimensionless mass-to-flux ratio is close to, or less than,
unity (lambda<~1). We show that, in disk formation, the requirement is far less
stringent. This conclusion is drawn from a set of 2D (axisymmetric) simulations
of the collapse of rotating, magnetized, singular isothermal cores. We find
that a weak field corresponding to 1ambda~100 can begin to disrupt the
rotationally supported disk through magnetic braking, by creating regions of
rapid, supersonic collapse in the disk. These regions are separated by one or
more centrifugal barriers, where the rapid infall is temporarily halted. The
number of centrifugal barriers increases with lambda. When lambda>~100, they
merge together to form a more or less contiguous, rotationally supported disk.
Even though the magnetic field in such a case is extremely weak on the scale of
dense cores, it is amplified by collapse and differential rotation, to the
extent that its pressure dominates the thermal pressure in both the disk and
its surrounding region. For relatively strongly magnetized cores with
lambda<~10, the disk formation is suppressed completely, as found previously. A
new feature is that the mass accretion is highly episodic, due to reconnection
of the accumulated magnetic field lines. For rotationally supported disks to
appear during the protostellar mass accretion phase of star formation in dense
cores with realistic field strengths, the powerful magnetic brake must be
weakened, perhaps through nonideal MHD effects and/or protostellar winds. We
discuss the possibility of observing a generic product of the magnetic braking,
an extended circumstellar region that is supported by a combination of toroidal
magnetic field and rotation - a "magnetogyrosphere".
| astro-ph | magnetic fields are usually considered dynamically important in star formation when the dimensionless masstoflux ratio is close to or less than unity lambda1 we show that in disk formation the requirement is far less stringent this conclusion is drawn from a set of 2d axisymmetric simulations of the collapse of rotating magnetized singular isothermal cores we find that a weak field corresponding to 1ambda100 can begin to disrupt the rotationally supported disk through magnetic braking by creating regions of rapid supersonic collapse in the disk these regions are separated by one or more centrifugal barriers where the rapid infall is temporarily halted the number of centrifugal barriers increases with lambda when lambda100 they merge together to form a more or less contiguous rotationally supported disk even though the magnetic field in such a case is extremely weak on the scale of dense cores it is amplified by collapse and differential rotation to the extent that its pressure dominates the thermal pressure in both the disk and its surrounding region for relatively strongly magnetized cores with lambda10 the disk formation is suppressed completely as found previously a new feature is that the mass accretion is highly episodic due to reconnection of the accumulated magnetic field lines for rotationally supported disks to appear during the protostellar mass accretion phase of star formation in dense cores with realistic field strengths the powerful magnetic brake must be weakened perhaps through nonideal mhd effects andor protostellar winds we discuss the possibility of observing a generic product of the magnetic braking an extended circumstellar region that is supported by a combination of toroidal magnetic field and rotation a magnetogyrosphere | [['magnetic', 'fields', 'are', 'usually', 'considered', 'dynamically', 'important', 'in', 'star', 'formation', 'when', 'the', 'dimensionless', 'masstoflux', 'ratio', 'is', 'close', 'to', 'or', 'less', 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709.0446 | Logic Column 19: Symbolic Model Checking for Temporal-Epistemic Logics | This article surveys some of the recent work in verification of temporal
epistemic logic via symbolic model checking, focusing on OBDD-based and
SAT-based approaches for epistemic logics built on discrete and real-time
branching time temporal logics.
| cs.LO | this article surveys some of the recent work in verification of temporal epistemic logic via symbolic model checking focusing on obddbased and satbased approaches for epistemic logics built on discrete and realtime branching time temporal logics | [['this', 'article', 'surveys', 'some', 'of', 'the', 'recent', 'work', 'in', 'verification', 'of', 'temporal', 'epistemic', 'logic', 'via', 'symbolic', 'model', 'checking', 'focusing', 'on', 'obddbased', 'and', 'satbased', 'approaches', 'for', 'epistemic', 'logics', 'built', 'on', 'discrete', 'and', 'realtime', 'branching', 'time', 'temporal', 'logics']] | [-0.06513936540351198, 0.00915722336827053, -0.11423180467681959, 0.11375071168812509, -0.19062882211680213, -0.164507195353508, 0.0789265366167658, 0.41682016601165134, -0.2631118198106479, -0.26170738517410225, 0.16375154894194566, -0.17776730672145882, -0.05820403780995144, 0.17886951578030777, -0.16074256505817175, 0.20300846179533336, 0.07325263466272089, 0.024861597494843107, -0.00600878254044801, -0.20622418421165398, 0.2789182764115847, -0.02694953743937529, 0.23452563304454088, 0.03475611636208163, 0.120380762576436, 0.12433354953666115, -0.09756068412227453, 0.053677016817447215, -0.11540925657997529, 0.17714542241042686, 0.34985546255484223, 0.3253396242313708, 0.32188049145042896, -0.4726432357242124, -0.1705977680006375, 0.0987525568893438, 0.09280208623062612, 0.07471162091112798, 0.07582371326861903, -0.45578854668161106, -0.005345581151131127, -0.24558373261243105, 0.031075367134892277, -0.13005227005730072, 0.07233659364283085, 0.03248096886090934, -0.14923621928836736, -0.03888063316440417, 0.2304332662218561, 0.19154172397813657, -0.01709382117001547, -0.06701360715346204, 0.03653579282884797, -0.013627180066477094, -0.020025867661590584, -0.048972129912322596, 0.09843969984083539, -0.08306982515043476, -0.3557844862548841, 0.30835861671302056, 0.010156515313105451, -0.15770396760975322, 0.15904469932946894, -0.056633745682322316, -0.3205792405383868, 0.009359677917220526, 0.18971083080396056, 0.1589690817313062, -0.14913694275957015, 0.15630448213455062, -0.0337706980191999, 0.2872670701213388, 0.1028674714681175, 0.10225003730091783, 0.16971709367094767, 0.31526445219707155, -0.049713248723290034, 0.09037136638330089, 0.06143496230490402, -0.19640350308165783, -0.2656754867380692, -0.08220264966237462, -0.03263127808976504, -0.10566005767840478, -0.08514919487626887, -0.18768705965744126, 0.4127356872583429, 0.263452277208368, 0.05607804192954467, 0.27990496686349314, 0.40256981489559013, 0.1124879454728216, 0.01281130500137806, -0.04665425267174012, 0.12900200224006161, 0.11274335817951295, 0.21429177962353504, -0.1909670474835568, 0.16201212862183134, 0.09616962233687648] |
709.0447 | Local mixture models of exponential families | Exponential families are the workhorses of parametric modelling theory. One
reason for their popularity is their associated inference theory, which is very
clean, both from a theoretical and a computational point of view. One way in
which this set of tools can be enriched in a natural and interpretable way is
through mixing. This paper develops and applies the idea of local mixture
modelling to exponential families. It shows that the highly interpretable and
flexible models which result have enough structure to retain the attractive
inferential properties of exponential families. In particular, results on
identification, parameter orthogonality and log-concavity of the likelihood are
proved.
| math.ST stat.TH | exponential families are the workhorses of parametric modelling theory one reason for their popularity is their associated inference theory which is very clean both from a theoretical and a computational point of view one way in which this set of tools can be enriched in a natural and interpretable way is through mixing this paper develops and applies the idea of local mixture modelling to exponential families it shows that the highly interpretable and flexible models which result have enough structure to retain the attractive inferential properties of exponential families in particular results on identification parameter orthogonality and logconcavity of the likelihood are proved | [['exponential', 'families', 'are', 'the', 'workhorses', 'of', 'parametric', 'modelling', 'theory', 'one', 'reason', 'for', 'their', 'popularity', 'is', 'their', 'associated', 'inference', 'theory', 'which', 'is', 'very', 'clean', 'both', 'from', 'a', 'theoretical', 'and', 'a', 'computational', 'point', 'of', 'view', 'one', 'way', 'in', 'which', 'this', 'set', 'of', 'tools', 'can', 'be', 'enriched', 'in', 'a', 'natural', 'and', 'interpretable', 'way', 'is', 'through', 'mixing', 'this', 'paper', 'develops', 'and', 'applies', 'the', 'idea', 'of', 'local', 'mixture', 'modelling', 'to', 'exponential', 'families', 'it', 'shows', 'that', 'the', 'highly', 'interpretable', 'and', 'flexible', 'models', 'which', 'result', 'have', 'enough', 'structure', 'to', 'retain', 'the', 'attractive', 'inferential', 'properties', 'of', 'exponential', 'families', 'in', 'particular', 'results', 'on', 'identification', 'parameter', 'orthogonality', 'and', 'logconcavity', 'of', 'the', 'likelihood', 'are', 'proved']] | [-0.06841638749196696, 0.06793651774149531, -0.16238080900019178, 0.10833063982807709, -0.10486364042243132, -0.14969174121954262, 0.026622778743890543, 0.37503369238514167, -0.2960900173504622, -0.2985149189256705, 0.09413719539141031, -0.2264781091317463, -0.16927378829747725, 0.21005279855587736, -0.07566703318242127, 0.05900803258499274, 0.04628305468045605, 0.012098090861959813, -0.048978087825861834, -0.23584162066198097, 0.2876369170027409, 0.0385792054540406, 0.3016020822911881, -0.0039918557561647436, 0.05514639384413245, -0.037216790665227636, -0.03492338179253588, 0.015860126835132878, -0.09536252630452789, 0.2213944349742423, 0.2833768816304445, 0.16112229437119543, 0.2980806792642957, -0.37705861574683625, -0.2199856165635328, 0.1005157675222458, 0.14724522514958294, 0.10749617358333825, -0.06881349683233286, -0.2296153899246397, 0.09216912013093512, -0.19036286824848503, -0.1517934834342808, -0.14733315109445427, -0.010968176128629308, 0.03460836783946993, -0.2867023749349755, 0.0655043336647885, 0.15250562065137693, 0.054245901020924345, 0.0027471488843170497, -0.08785896115184116, -0.022662743509639628, 0.07010208714060494, 0.07233748062683915, -0.01823678005110616, 0.07565136172790797, -0.1369520828772623, -0.060738364866455626, 0.3538413679651477, -0.01591692709077436, -0.21447756349404629, 0.2531370949940398, -0.0889630042069117, -0.1773295241896099, 0.1100556373443956, 0.1749790628964547, 0.11738070890379067, -0.1619163903619315, 0.11652128843203312, -0.048722793822749876, 0.13248239561849354, 0.05297191238675553, 0.03615286556753115, 0.21274004622290915, 0.17183661937507658, 0.059768054752986736, 0.12003943859711469, -0.036727761977929804, -0.13572477690356138, -0.27460339006854784, -0.14111039214409316, -0.1383908344052123, 0.02047667639607635, -0.09704427041777727, -0.2111605792127263, 0.40531376691964954, 0.14695418627413276, 0.21066337565515333, 0.08949846878106026, 0.26364782511686474, 0.10982223436174256, 0.03712627413467719, 0.027485738559404966, 0.18896793618198268, 0.1619290507111985, 0.029452914309401352, -0.11806888305447781, 0.14586957588919455, 0.04111343001624426] |
709.0448 | When is Eaton's Markov chain irreducible? | Consider a parametric statistical model $P(\mathrm{d}x|\theta)$ and an
improper prior distribution $\nu(\mathrm{d}\theta)$ that together yield a
(proper) formal posterior distribution $Q(\mathrm{d}\theta|x)$. The prior is
called strongly admissible if the generalized Bayes estimator of every bounded
function of $\theta$ is admissible under squared error loss. Eaton [Ann.
Statist. 20 (1992) 1147--1179] has shown that a sufficient condition for strong
admissibility of $\nu$ is the local recurrence of the Markov chain whose
transition function is $R(\theta,\mathrm{d}\eta)=\int
Q(\mathrm{d}\eta|x)P(\mathrm {d}x|\theta)$. Applications of this result and its
extensions are often greatly simplified when the Markov chain associated with
$R$ is irreducible. However, establishing irreducibility can be difficult. In
this paper, we provide a characterization of irreducibility for general state
space Markov chains and use this characterization to develop an easily checked,
necessary and sufficient condition for irreducibility of Eaton's Markov chain.
All that is required to check this condition is a simple examination of $P$ and
$\nu$. Application of the main result is illustrated using two examples.
| math.ST stat.TH | consider a parametric statistical model pmathrmdxtheta and an improper prior distribution numathrmdtheta that together yield a proper formal posterior distribution qmathrmdthetax the prior is called strongly admissible if the generalized bayes estimator of every bounded function of theta is admissible under squared error loss eaton ann statist 20 1992 11471179 has shown that a sufficient condition for strong admissibility of nu is the local recurrence of the markov chain whose transition function is rthetamathrmdetaint qmathrmdetaxpmathrm dxtheta applications of this result and its extensions are often greatly simplified when the markov chain associated with r is irreducible however establishing irreducibility can be difficult in this paper we provide a characterization of irreducibility for general state space markov chains and use this characterization to develop an easily checked necessary and sufficient condition for irreducibility of eatons markov chain all that is required to check this condition is a simple examination of p and nu application of the main result is illustrated using two examples | [['consider', 'a', 'parametric', 'statistical', 'model', 'pmathrmdxtheta', 'and', 'an', 'improper', 'prior', 'distribution', 'numathrmdtheta', 'that', 'together', 'yield', 'a', 'proper', 'formal', 'posterior', 'distribution', 'qmathrmdthetax', 'the', 'prior', 'is', 'called', 'strongly', 'admissible', 'if', 'the', 'generalized', 'bayes', 'estimator', 'of', 'every', 'bounded', 'function', 'of', 'theta', 'is', 'admissible', 'under', 'squared', 'error', 'loss', 'eaton', 'ann', 'statist', '20', '1992', '11471179', 'has', 'shown', 'that', 'a', 'sufficient', 'condition', 'for', 'strong', 'admissibility', 'of', 'nu', 'is', 'the', 'local', 'recurrence', 'of', 'the', 'markov', 'chain', 'whose', 'transition', 'function', 'is', 'rthetamathrmdetaint', 'qmathrmdetaxpmathrm', 'dxtheta', 'applications', 'of', 'this', 'result', 'and', 'its', 'extensions', 'are', 'often', 'greatly', 'simplified', 'when', 'the', 'markov', 'chain', 'associated', 'with', 'r', 'is', 'irreducible', 'however', 'establishing', 'irreducibility', 'can', 'be', 'difficult', 'in', 'this', 'paper', 'we', 'provide', 'a', 'characterization', 'of', 'irreducibility', 'for', 'general', 'state', 'space', 'markov', 'chains', 'and', 'use', 'this', 'characterization', 'to', 'develop', 'an', 'easily', 'checked', 'necessary', 'and', 'sufficient', 'condition', 'for', 'irreducibility', 'of', 'eatons', 'markov', 'chain', 'all', 'that', 'is', 'required', 'to', 'check', 'this', 'condition', 'is', 'a', 'simple', 'examination', 'of', 'p', 'and', 'nu', 'application', 'of', 'the', 'main', 'result', 'is', 'illustrated', 'using', 'two', 'examples']] | [-0.12299540395427856, 0.09652920706636993, -0.08923679277781517, 0.0968901778090625, -0.11147273633809339, -0.1597130639959247, 0.03711100641577955, 0.3829295336629354, -0.2813301901873802, -0.2340554998166138, 0.15215389501573817, -0.16980510004345448, -0.15257244461606587, 0.17840743281337762, -0.09042850651688153, 0.07351602436336238, 0.09291427098214626, 0.046918734902283175, -0.07016506123867246, -0.2538648173303133, 0.3079872917639272, 0.06392829179868943, 0.2804725531774062, 0.03946382047180387, 0.13586871921415292, 0.05121939975407816, 0.00324529345117269, -0.03622551266303015, -0.18857900862231844, 0.10488101989030837, 0.22635384865946348, 0.1566808167905096, 0.2957378934798462, -0.32716907343523005, -0.1716234366920206, 0.1975737297922493, 0.10546869416570952, 0.05152782193355022, 0.021828642824003774, -0.2723366505796871, 0.12757690979257946, -0.17748308162610496, -0.14002486266075603, -0.09713487946578572, 0.019248841268070523, 0.03457206973069978, -0.37569915741802223, 0.07050767756037174, 0.15636749670300032, 0.11061852764368298, -0.01760046288235894, -0.1069321375482926, -0.013946584348506744, 0.06710746004940912, 0.02799523169204833, 0.031544132257301, 0.06344270744593813, -0.0711744281170409, -0.08781041279960905, 0.3119749965923538, -0.03556714067385802, -0.24635454876678844, 0.1723291069900076, -0.09287272997561001, -0.16101334853578478, 0.13974689580199698, 0.10338584472755752, 0.1037229332948036, -0.18330052000397232, 0.13149258923649246, -0.06958237144450147, 0.1252001706180313, 0.04790039578933389, -0.016598225965900645, 0.13358993851579726, 0.13058878638060584, 0.11765938318304477, 0.18623954578558163, -0.02213800202551929, -0.07407865940457992, -0.3652709191244456, -0.18950727275843102, -0.19562721631654928, 0.07839890420136432, -0.08978161814485511, -0.19752166876926147, 0.3549671511991971, 0.1370319584371593, 0.166316176392138, 0.12614336053149836, 0.21799722118904033, 0.1624293157151119, -0.02153673448239363, 0.0579894705660521, 0.17285256214710254, 0.20309267000805947, -0.004671088630153287, -0.13906012462572226, 0.13006428541134923, 0.08475503074934691] |
709.0449 | Comment on "Ab Initio study of 40-Ca with an importance-truncated
no-core shell model" | In a recent Letter [Phys. Rev. Lett. 99, 092501 (2007)], Roth and Navratil
present an importance-truncation scheme for the no-core shell model. The
authors claim that their truncation scheme leads to converged results for the
ground state of 40-Ca. We believe that this conclusion cannot be drawn from the
results presented in the Letter. Furthermore, the claimed convergence is at
variance with expectations of many-body theory. In particular, coupled-cluster
calculations indicate that a significant fraction of the correlation energy is
missing.
| nucl-th | in a recent letter phys rev lett 99 092501 2007 roth and navratil present an importancetruncation scheme for the nocore shell model the authors claim that their truncation scheme leads to converged results for the ground state of 40ca we believe that this conclusion cannot be drawn from the results presented in the letter furthermore the claimed convergence is at variance with expectations of manybody theory in particular coupledcluster calculations indicate that a significant fraction of the correlation energy is missing | [['in', 'a', 'recent', 'letter', 'phys', 'rev', 'lett', '99', '092501', '2007', 'roth', 'and', 'navratil', 'present', 'an', 'importancetruncation', 'scheme', 'for', 'the', 'nocore', 'shell', 'model', 'the', 'authors', 'claim', 'that', 'their', 'truncation', 'scheme', 'leads', 'to', 'converged', 'results', 'for', 'the', 'ground', 'state', 'of', '40ca', 'we', 'believe', 'that', 'this', 'conclusion', 'can', 'not', 'be', 'drawn', 'from', 'the', 'results', 'presented', 'in', 'the', 'letter', 'furthermore', 'the', 'claimed', 'convergence', 'is', 'at', 'variance', 'with', 'expectations', 'of', 'manybody', 'theory', 'in', 'particular', 'coupledcluster', 'calculations', 'indicate', 'that', 'a', 'significant', 'fraction', 'of', 'the', 'correlation', 'energy', 'is', 'missing']] | [-0.05785613404223113, 0.05567066191742924, -0.10612629347888287, -0.020982898118381853, 7.221517153084278e-05, -0.05455350051051937, 0.11042544017691398, 0.37110550651559604, -0.1303361582395155, -0.3039757545804605, -0.04151498610590352, -0.2946600348223001, -0.15568551502656192, 0.1638487951597199, -0.09221617861185223, 0.036965891893487424, 0.12894688585074618, -0.02624756607983727, -0.07654787865758408, -0.28245285560842603, 0.23217992490972392, 0.14980675863334908, 0.2917669870192185, 0.10713366809795843, 0.01608389338944107, -0.012086254221503622, 0.004574837966356426, -0.005699542560614645, -0.14989787285439887, 0.10562788923853077, 0.24577492375392468, 0.08563486163038761, 0.2762125963694416, -0.4300209218170494, -0.2067309008562006, 0.07024235507706181, 0.1200567359192064, 0.20404495758702978, -0.05695434748777188, -0.3158935614163056, 0.0797335948474938, -0.28893933014478534, -0.15745844695484265, -0.12354505502153187, 0.041948115747936755, -0.0037547946209087967, -0.28434108729125, 0.1577644819044508, 0.054131791161489674, 0.010328545311404013, -0.06684218830196187, -0.13916131120640785, -0.0005043012031819671, 0.00033997439895756544, 0.03171118970931275, 0.10017960414479603, 0.05409805658855475, -0.03845587763644289, -0.1351286027689639, 0.3481893150601536, -0.02745521835749969, -0.15035770731628872, 0.1855488602188416, -0.1490568606299348, -0.17198835135786794, 0.13758954904042184, 0.12526711775281002, 0.10920407235389576, -0.13612382350256666, 0.11754045552152093, -0.11679723690758692, 0.20710161107126623, 0.030964200547896326, 0.019292613823199644, 0.1279535171808675, 0.1017994569556322, -0.03380184328416362, 0.045488572567410304, -0.11005767931928859, -0.14730221363715829, -0.3368591700011166, -0.13284957536889125, -0.23034784020856022, 0.04202900023392431, 0.021100273105730594, -0.11833273833617568, 0.36372179290656276, 0.2135151724505704, 0.1862004781840369, 0.03947893415461294, 0.22697431477718055, 0.11778643714933423, -0.019071188484667802, 0.1231190809092368, 0.32687524895882236, 0.14919979603146202, 0.0687011510002776, -0.21420132782077417, 0.03727538995008217, 0.05018519602017477] |
709.045 | Deeply Virtual Compton Scattering off the neutron | The present experiment exploits the interference between the Deeply Virtual
Compton Scattering (DVCS) and the Bethe-Heitler processes to extract the
imaginary part of DVCS amplitudes on the neutron and on the deuteron from the
helicity-dependent D$({\vec e},e'\gamma)X$ cross section measured at $Q^2$=1.9
GeV$^2$ and $x_B$=0.36. We extract a linear combination of generalized parton
distributions (GPDs) particularly sensitive to $E_q$, the least constrained
GPD. A model dependent constraint on the contribution of the up and down quarks
to the nucleon spin is deduced.
| nucl-ex | the present experiment exploits the interference between the deeply virtual compton scattering dvcs and the betheheitler processes to extract the imaginary part of dvcs amplitudes on the neutron and on the deuteron from the helicitydependent dvec eegammax cross section measured at q219 gev2 and x_b036 we extract a linear combination of generalized parton distributions gpds particularly sensitive to e_q the least constrained gpd a model dependent constraint on the contribution of the up and down quarks to the nucleon spin is deduced | [['the', 'present', 'experiment', 'exploits', 'the', 'interference', 'between', 'the', 'deeply', 'virtual', 'compton', 'scattering', 'dvcs', 'and', 'the', 'betheheitler', 'processes', 'to', 'extract', 'the', 'imaginary', 'part', 'of', 'dvcs', 'amplitudes', 'on', 'the', 'neutron', 'and', 'on', 'the', 'deuteron', 'from', 'the', 'helicitydependent', 'dvec', 'eegammax', 'cross', 'section', 'measured', 'at', 'q219', 'gev2', 'and', 'x_b036', 'we', 'extract', 'a', 'linear', 'combination', 'of', 'generalized', 'parton', 'distributions', 'gpds', 'particularly', 'sensitive', 'to', 'e_q', 'the', 'least', 'constrained', 'gpd', 'a', 'model', 'dependent', 'constraint', 'on', 'the', 'contribution', 'of', 'the', 'up', 'and', 'down', 'quarks', 'to', 'the', 'nucleon', 'spin', 'is', 'deduced']] | [-0.04021366036074512, 0.20432191335791608, -0.15401763057790374, 0.1801563120737419, -0.0949545872202258, -0.0380633019807714, 0.06327260365525697, 0.3099219233349518, -0.24650276499443952, -0.19827305378369342, -0.0661824246937478, -0.3492252057199769, -0.007238626077679204, 0.1638058143535652, 0.10682432563331576, 0.06492444112132315, 0.00769036928375746, -0.003497769665202977, -0.04628479855572, -0.1552892342730092, 0.3962984038056967, 0.06308847255889832, 0.25910716225036684, 0.1974725725221229, 0.15580827199543515, 0.1580395771443476, -0.0917472581114666, -0.12313508601100356, -0.08395763634945508, 0.11342674620840469, 0.2597410019636614, 0.04747270022944352, 0.026286318788971797, -0.38977119315093683, -0.08371864754798604, 0.034572312895806485, 0.10697576967010528, 0.04980704624113845, 0.07367065477754092, -0.27466143810270743, 0.01906765133349432, -0.19545774356128626, -0.12342949768091425, -0.1015079433362885, -0.0013843738692410198, -0.03567159019502593, -0.30540735447020445, 0.03764830364408776, -0.035189917506535114, -0.02756287942835946, -0.021939355558083382, -0.25598394384400713, 0.0035056122664914088, 0.029355499133852853, 0.07649565861347694, 0.12696564032546717, 0.16675015058322454, -0.16323585106335856, -0.12262766137805388, 0.3586831061531686, -0.0066272249505682675, -0.18201348967390296, 0.06457315131240053, -0.24939724010771808, -0.10000043244526526, 0.16688988274998134, 0.2549195513819103, 0.10754453176977458, -0.19231222615933713, 0.09726891485272826, -0.00838995653198871, 0.19229882473792928, 0.1283420852879867, 0.026562317544709384, 0.15760216684322115, 0.19589514574927083, -0.04868260928556139, 0.07847389390111476, -0.177117936965653, -0.08072282653301954, -0.3768749121105137, -0.046830987850962964, -0.13337859879305333, 0.07967087509179557, -0.06441578078069321, -0.09244437527233436, 0.32027832351418006, 0.062155766783420136, 0.24109414301203264, 0.04275413447370132, 0.3696155015977077, 0.152000106340073, 0.11326467658013657, 0.059827823801265084, 0.2666738964272318, 0.22486227342605958, 0.1610499906503124, -0.2761427969643041, 0.07604587069471125, -0.004927174268681326] |
709.0451 | SuperB: A High-Luminosity Asymmetric e+ e- Super Flavor Factory.
Conceptual Design Report | The physics objectives of SuperB, an asymmetric electron-positron collider
with a luminosity above 10^36/cm^2/s are described, together with the
conceptual design of a novel low emittance design that achieves this
performance with wallplug power comparable to that of the current B Factories,
and an upgraded detector capable of doing the physics in the SuperB
environment.
| hep-ex | the physics objectives of superb an asymmetric electronpositron collider with a luminosity above 1036cm2s are described together with the conceptual design of a novel low emittance design that achieves this performance with wallplug power comparable to that of the current b factories and an upgraded detector capable of doing the physics in the superb environment | [['the', 'physics', 'objectives', 'of', 'superb', 'an', 'asymmetric', 'electronpositron', 'collider', 'with', 'a', 'luminosity', 'above', '1036cm2s', 'are', 'described', 'together', 'with', 'the', 'conceptual', 'design', 'of', 'a', 'novel', 'low', 'emittance', 'design', 'that', 'achieves', 'this', 'performance', 'with', 'wallplug', 'power', 'comparable', 'to', 'that', 'of', 'the', 'current', 'b', 'factories', 'and', 'an', 'upgraded', 'detector', 'capable', 'of', 'doing', 'the', 'physics', 'in', 'the', 'superb', 'environment']] | [-0.0667529453230263, 0.12340100267007344, -0.061918728415750794, 0.03361214808171132, -0.061193623860297655, -0.17730390592650683, -0.023755946231109125, 0.35948404724951144, -0.20633510501917313, -0.3523384647926799, 0.03799557721854567, -0.2830730226511757, -0.012132195704099204, 0.24496075711471754, -0.04249458894547489, 0.06908032686139147, 0.10718644436241852, -0.03425734186614001, -0.08659658543938012, -0.2270110435783863, 0.1985460074480485, 0.2866850499736352, 0.29499344165540403, 0.05702694569265953, 0.1527670449577272, -0.045437962191903755, 0.021011478129636357, 0.014617158375956394, -0.05870528599485557, 0.12142836592263645, 0.2958489516405044, 0.18556838437776874, 0.2461603745404217, -0.3821720403481137, -0.08068016760861846, 0.07062948924592799, 0.07888691443777471, -0.0257738102917318, -0.1625096136143569, -0.271645876466883, 0.06507144752820884, -0.2348428897007748, -0.14986723304415742, -0.034633217896852225, -0.024581376359694533, 0.03394538305561851, -0.27242049112640043, -0.030212519155746256, 0.04278598060072572, 0.03210658331712087, 0.004196517126358769, -0.18428058153087343, 0.04012751106724695, 0.02637759170115546, -0.04767122051540624, 0.05331239916591181, 0.1460956338862026, -0.21492029643289884, -0.20256950802825116, 0.36479895377393673, -0.041296619576988394, -0.10087701643782633, 0.2277711859938723, -0.20083320723777567, -0.0803930302478235, 0.12637996635641213, 0.26138344849244244, -0.009870411543589499, -0.19490390962541657, 0.07509379651512266, 0.023521340038213465, 0.154290155335157, 0.002423126750660163, 0.07802645194654663, 0.2612902957437284, 0.296946020555441, 0.08529601090898116, 0.11532914576431115, -0.08578802054506485, 0.004851314170217073, -0.3848590569579284, -0.10982274809093387, -0.1226132710084871, 0.02197252048386468, -0.012077965316334652, -0.08228459868028208, 0.42801769176084137, 0.16706441999930474, 0.21040631803097548, 0.028229843238713564, 0.36160145134285643, 0.069907589211922, 0.07800517357504254, 0.07450546456702459, 0.3111618739311342, 0.0701998991339847, 0.1624806780309882, -0.2946254279878404, 0.019184382287440477, -0.03001762166860755] |
709.0452 | The Magnetic Rayleigh-Taylor Instability in Three Dimensions | We study the magnetic Rayleigh-Taylor instability in three dimensions, with
focus on the nonlinear structure and evolution that results from different
initial field configurations. We study strong fields in the sense that the
critical wavelength l_c at which perturbations along the field are stable is a
large fraction of the size of the computational domain. We consider magnetic
fields which are initially parallel to the interface, but have a variety of
configurations, including uniform everywhere, uniform in the light fluid only,
and fields which change direction at the interface. Strong magnetic fields do
not suppress instability, in fact by inhibiting secondary shear instabilities,
they reduce mixing between the heavy and light fluid, and cause the rate of
growth of bubbles and fingers to increase in comparison to hydrodynamics.
Fields parallel to, but whose direction changes at, the interface produce long,
isolated fingers separated by the critical wavelength l_c, which may be
relevant to the morphology of the optical filaments in the Crab nebula.
| astro-ph | we study the magnetic rayleightaylor instability in three dimensions with focus on the nonlinear structure and evolution that results from different initial field configurations we study strong fields in the sense that the critical wavelength l_c at which perturbations along the field are stable is a large fraction of the size of the computational domain we consider magnetic fields which are initially parallel to the interface but have a variety of configurations including uniform everywhere uniform in the light fluid only and fields which change direction at the interface strong magnetic fields do not suppress instability in fact by inhibiting secondary shear instabilities they reduce mixing between the heavy and light fluid and cause the rate of growth of bubbles and fingers to increase in comparison to hydrodynamics fields parallel to but whose direction changes at the interface produce long isolated fingers separated by the critical wavelength l_c which may be relevant to the morphology of the optical filaments in the crab nebula | [['we', 'study', 'the', 'magnetic', 'rayleightaylor', 'instability', 'in', 'three', 'dimensions', 'with', 'focus', 'on', 'the', 'nonlinear', 'structure', 'and', 'evolution', 'that', 'results', 'from', 'different', 'initial', 'field', 'configurations', 'we', 'study', 'strong', 'fields', 'in', 'the', 'sense', 'that', 'the', 'critical', 'wavelength', 'l_c', 'at', 'which', 'perturbations', 'along', 'the', 'field', 'are', 'stable', 'is', 'a', 'large', 'fraction', 'of', 'the', 'size', 'of', 'the', 'computational', 'domain', 'we', 'consider', 'magnetic', 'fields', 'which', 'are', 'initially', 'parallel', 'to', 'the', 'interface', 'but', 'have', 'a', 'variety', 'of', 'configurations', 'including', 'uniform', 'everywhere', 'uniform', 'in', 'the', 'light', 'fluid', 'only', 'and', 'fields', 'which', 'change', 'direction', 'at', 'the', 'interface', 'strong', 'magnetic', 'fields', 'do', 'not', 'suppress', 'instability', 'in', 'fact', 'by', 'inhibiting', 'secondary', 'shear', 'instabilities', 'they', 'reduce', 'mixing', 'between', 'the', 'heavy', 'and', 'light', 'fluid', 'and', 'cause', 'the', 'rate', 'of', 'growth', 'of', 'bubbles', 'and', 'fingers', 'to', 'increase', 'in', 'comparison', 'to', 'hydrodynamics', 'fields', 'parallel', 'to', 'but', 'whose', 'direction', 'changes', 'at', 'the', 'interface', 'produce', 'long', 'isolated', 'fingers', 'separated', 'by', 'the', 'critical', 'wavelength', 'l_c', 'which', 'may', 'be', 'relevant', 'to', 'the', 'morphology', 'of', 'the', 'optical', 'filaments', 'in', 'the', 'crab', 'nebula']] | [-0.17745860296650076, 0.20772659950861078, -0.06354025640222101, 0.04042334067763795, -0.05917962637095729, -0.08597791723998412, -0.020154453483353044, 0.38151553541456174, -0.29467840401307205, -0.30576560750855075, 0.09923408315745554, -0.21669859937363606, -0.07433542806335205, 0.1813482669092132, 0.022234340109776683, -0.02672307670939188, 0.03379535161750105, -0.02017097805620977, -0.016241507551867082, -0.2154345213774123, 0.33065597576866257, 0.052699803277575896, 0.3120627123405414, 0.05113861092189156, 0.05071561495870626, -0.04198873182294456, 0.020461131332933535, 0.07160903062839975, -0.14974742650636114, 0.03302006049770355, 0.17772229225830063, 0.013106755115251783, 0.22950420550504938, -0.4692725434705067, -0.22441642935690612, 0.0666537361913732, 0.16979352046558463, 0.1333362043254396, -0.044431255635394046, -0.2187224350651109, 0.0959522595387695, -0.08311933339030647, -0.15225007620417266, 0.002750884107331191, 0.026255089722493765, 0.06756839680126897, -0.24389762415277824, 0.09959996439497976, 0.06162404188132085, 0.07533850581913706, -0.07120083438438232, -0.04666507293247372, -0.055593162363657925, 0.09997173387305869, 0.10813059600747185, 0.07632730576421129, 0.167844534877322, -0.20505489200136504, -0.0439370162906468, 0.35405248874781275, -0.056532948287889545, -0.15916640858845843, 0.25078696603286854, -0.21187263500071102, -0.06993310261186372, 0.19638977419482145, 0.2204434790882779, 0.09605541133658926, -0.08210126287482417, 0.046037206304491, 0.005934613471153689, 0.16334542810654074, 0.10667557587869968, 0.026152615838232765, 0.2596255657520214, 0.10307768750450134, 0.0476390461157436, 0.14663448097667103, -0.10832292674412163, -0.09888142209922883, -0.2848432408445772, -0.13548740520901933, -0.12348542909246464, 0.005988266451967783, -0.0919480760680173, -0.21528037693751462, 0.38099260708785676, 0.15076148208370718, 0.1781713629019678, -0.028632238675823058, 0.27994394193237726, 0.07779103673443176, 0.11006290434454025, 0.11284920334118916, 0.30457294782040856, 0.1406095631254917, 0.14266236972255186, -0.24430741462428007, 0.04390314362508936, 0.01255783511245726] |
709.0453 | Powerful nanosecond light sources based on LEDs for astroparticle
physics experiments | Powerful nanosecond light sources based on LEDs have been developed for use
in astroparticle physics experiments. The light sources use either matrixes of
ultra bright blue LEDs or a new generation high power blue LEDs. It's shown
that such light sources have light yield of up to 10**10 - 10**12 photons per
pulse with very fast light emission kinetics. The described light sources are
important for use in calibration systems of Cherenkov and scintillator
detectors. The developed light sources are currently used successfully in a
number of astroparticle experiments, namely: the TUNKA EAS experiment, the
Baikal neutrino experiment etc.
| physics.ins-det | powerful nanosecond light sources based on leds have been developed for use in astroparticle physics experiments the light sources use either matrixes of ultra bright blue leds or a new generation high power blue leds its shown that such light sources have light yield of up to 1010 1012 photons per pulse with very fast light emission kinetics the described light sources are important for use in calibration systems of cherenkov and scintillator detectors the developed light sources are currently used successfully in a number of astroparticle experiments namely the tunka eas experiment the baikal neutrino experiment etc | [['powerful', 'nanosecond', 'light', 'sources', 'based', 'on', 'leds', 'have', 'been', 'developed', 'for', 'use', 'in', 'astroparticle', 'physics', 'experiments', 'the', 'light', 'sources', 'use', 'either', 'matrixes', 'of', 'ultra', 'bright', 'blue', 'leds', 'or', 'a', 'new', 'generation', 'high', 'power', 'blue', 'leds', 'its', 'shown', 'that', 'such', 'light', 'sources', 'have', 'light', 'yield', 'of', 'up', 'to', '1010', '1012', 'photons', 'per', 'pulse', 'with', 'very', 'fast', 'light', 'emission', 'kinetics', 'the', 'described', 'light', 'sources', 'are', 'important', 'for', 'use', 'in', 'calibration', 'systems', 'of', 'cherenkov', 'and', 'scintillator', 'detectors', 'the', 'developed', 'light', 'sources', 'are', 'currently', 'used', 'successfully', 'in', 'a', 'number', 'of', 'astroparticle', 'experiments', 'namely', 'the', 'tunka', 'eas', 'experiment', 'the', 'baikal', 'neutrino', 'experiment', 'etc']] | [-0.019493293125248914, 0.23296589906118353, -0.07255501164199442, 0.10807437869501585, -0.04406154053095652, -0.17439881486019918, 0.018515353138577575, 0.4612218508382841, -0.13058156377578878, -0.3924595523549586, 0.09186424793822844, -0.3637269217240605, -0.05090141462456739, 0.3230478343701142, -0.045269388078274776, 0.0738761071347375, 0.08272264320023205, -0.10296295693486321, 0.03726136054111911, -0.22195607075011548, 0.17022136133164167, 0.10785459738452824, 0.3189994132797215, 0.04175183586111026, 0.16201516666582652, -0.04261495995012169, -0.07226563471711564, -0.11342811934193786, 0.0027611835568529144, 0.0665186021277415, 0.2626196142305069, 0.14045057579998535, 0.16213496313525402, -0.4600951235969456, -0.2774048763688426, 0.13922194020860656, 0.1273419980045256, 0.0026549639522421118, -0.1852410808882714, -0.2704991038926706, 0.027942658877190277, -0.12895388607819547, -0.1479609345741646, 0.042361070710823547, -0.02922168679117244, 0.10696919403057925, -0.1673342775391909, -0.03052320167403288, -0.1017375795838271, 0.02533241117263821, 0.038665435394528797, -0.14328588350504942, 0.07082285565248102, 0.043717263943553734, 0.019082238099404743, 0.013687263171625684, 0.16422937334959434, -0.13897671191287891, -0.109083757317644, 0.40241845307529583, -0.09036228846644564, -0.060260748718770185, 0.17057897502049205, -0.14096208229394896, -0.12354542136344375, 0.1938280813890148, 0.22858161167764313, 0.159877870041801, -0.1960857453451929, -0.012185299132843098, 0.03690500344014346, 0.23352367788249132, 0.09736030548335795, 0.1483148014961685, 0.3003475368593116, 0.2255575934577049, 0.012195096968920256, 0.0761362609764732, -0.23557620475125707, 0.043363083353532214, -0.25588181796388665, -0.10692486644494442, -0.15003193815818475, 0.06943005041162274, -0.024489139415631404, -0.0991440149934663, 0.40443883387714014, 0.1300485585531106, 0.07075102826846498, -0.05195425573691288, 0.3480896057979185, 0.054905391379012444, 0.10465440111073228, 0.013797412740484792, 0.3247818750690441, 0.14893363347771216, 0.15000228008388408, -0.1743165996087221, -0.010024793650384764, -0.039024163916593] |
709.0454 | Conformal dual of a quadruplet of points | Let $\{P_1, P_2, P_3, P_4\}$ be a quadruplet of points in $S^3$ . We define a
``dual'' quadruplet of it in a conformal geometric way. We show that the dual
of a dual quadruplet coincides with the original one. We also show that the
cross ratio of the dual quadruplet is equal to the complex conjugate of that of
the original one.
| math.GT | let p_1 p_2 p_3 p_4 be a quadruplet of points in s3 we define a dual quadruplet of it in a conformal geometric way we show that the dual of a dual quadruplet coincides with the original one we also show that the cross ratio of the dual quadruplet is equal to the complex conjugate of that of the original one | [['let', 'p_1', 'p_2', 'p_3', 'p_4', 'be', 'a', 'quadruplet', 'of', 'points', 'in', 's3', 'we', 'define', 'a', 'dual', 'quadruplet', 'of', 'it', 'in', 'a', 'conformal', 'geometric', 'way', 'we', 'show', 'that', 'the', 'dual', 'of', 'a', 'dual', 'quadruplet', 'coincides', 'with', 'the', 'original', 'one', 'we', 'also', 'show', 'that', 'the', 'cross', 'ratio', 'of', 'the', 'dual', 'quadruplet', 'is', 'equal', 'to', 'the', 'complex', 'conjugate', 'of', 'that', 'of', 'the', 'original', 'one']] | [-0.16913142230850262, 0.1344731914673428, -0.09533712243447538, 0.05529220048223668, -0.09623141153181186, -0.13625608424304939, -0.03545777713421915, 0.3290047136852976, -0.259925999144306, -0.1973353603579959, 0.03541361299709829, -0.29140039832621323, -0.18935972454453834, 0.09771502396610916, -0.08265067861400179, -0.0399917868561432, 0.025358657436598032, 0.1551764831252274, -0.14718309523094994, -0.2257159549865078, 0.3099751714693352, -0.08262794489254717, 0.21552383979080153, 0.016853538076545983, 0.14590590824296729, -0.001832677093410834, 0.07347950635508435, 0.05458583984691955, -0.1252418255229952, 0.15834983256569163, 0.1933498787922693, 0.1187887432389572, 0.20416361801936977, -0.35881025646431525, -0.08171998735776813, 0.1942686071527786, 0.1474952702486857, -0.02406554834031668, 0.006773409132128124, -0.22154466096372877, 0.16243295785283945, -0.1278045356395792, -0.14221820395562004, -0.026554005739630245, 0.008532389731253268, -0.013654718068657352, -0.306978539212561, 0.015688964573677903, 0.07931609207489451, -0.008230596490692898, -0.012357069125979161, -0.10561909558648458, -0.12228793656972588, 0.030317906366630655, 0.034023936085983135, 0.1066193916056244, 0.027050568577146432, -0.09297538271983016, -0.1907937620064152, 0.38455780082550206, -0.07684663718291482, -0.26838166791884627, 0.11594414136937407, -0.15727737913915857, -0.1543858235617947, 0.11801592063647313, 0.09018157581325437, 0.17403740564086398, -0.04709816262980954, 0.11122655015072373, -0.13069084079050627, 0.12070373555675881, 0.08477704052920224, 0.03989106887707212, 0.20924481578537676, 0.08103827540342864, 0.12008512743794528, 0.21986084389996516, -0.07984317269664808, -0.08472937876434966, -0.37984262993101214, -0.21116803384187524, -0.177083447856111, 0.11478270524654721, -0.13746927084676067, -0.12645429189576476, 0.4238035715505725, 0.10089969791764905, 0.29705938896866607, 0.020725342761877864, 0.26874347575787516, 0.11254525758692475, 0.07715161804865557, 0.05835075107723719, 0.20834617764826435, 0.127855335896621, -0.03337676269880145, -0.24467486924430754, -0.07238996051801522, 0.1308741630284024] |
709.0455 | On the Origin of Early-type Galaxies Nuclei | The ACS Virgo cluster survey by Cote' and collaborators shows the presence of
compact nuclei at the photocenters of many early-type galaxies. It is argued
that they are the low-mass counterparts of nuclei hosting Super Massive Black
Holes (SBHs) detected in the bright galaxies. If this view is correct, then one
should think in terms of central massive objects, either SBHs or Compact
Stellar Clusters (CSCs), that accompany the formation of almost all early-type
galaxies. In this observational frame, the hypothesis that galactic nuclei may
be the remains of globular clusters driven inward to the galactic center by
dynamical friction and there merged, finds an exciting possible confirm. In
this short paper we report of our recent results on globular cluster mergers
obtained by mean of detailed N-body simulations.
| astro-ph | the acs virgo cluster survey by cote and collaborators shows the presence of compact nuclei at the photocenters of many earlytype galaxies it is argued that they are the lowmass counterparts of nuclei hosting super massive black holes sbhs detected in the bright galaxies if this view is correct then one should think in terms of central massive objects either sbhs or compact stellar clusters cscs that accompany the formation of almost all earlytype galaxies in this observational frame the hypothesis that galactic nuclei may be the remains of globular clusters driven inward to the galactic center by dynamical friction and there merged finds an exciting possible confirm in this short paper we report of our recent results on globular cluster mergers obtained by mean of detailed nbody simulations | [['the', 'acs', 'virgo', 'cluster', 'survey', 'by', 'cote', 'and', 'collaborators', 'shows', 'the', 'presence', 'of', 'compact', 'nuclei', 'at', 'the', 'photocenters', 'of', 'many', 'earlytype', 'galaxies', 'it', 'is', 'argued', 'that', 'they', 'are', 'the', 'lowmass', 'counterparts', 'of', 'nuclei', 'hosting', 'super', 'massive', 'black', 'holes', 'sbhs', 'detected', 'in', 'the', 'bright', 'galaxies', 'if', 'this', 'view', 'is', 'correct', 'then', 'one', 'should', 'think', 'in', 'terms', 'of', 'central', 'massive', 'objects', 'either', 'sbhs', 'or', 'compact', 'stellar', 'clusters', 'cscs', 'that', 'accompany', 'the', 'formation', 'of', 'almost', 'all', 'earlytype', 'galaxies', 'in', 'this', 'observational', 'frame', 'the', 'hypothesis', 'that', 'galactic', 'nuclei', 'may', 'be', 'the', 'remains', 'of', 'globular', 'clusters', 'driven', 'inward', 'to', 'the', 'galactic', 'center', 'by', 'dynamical', 'friction', 'and', 'there', 'merged', 'finds', 'an', 'exciting', 'possible', 'confirm', 'in', 'this', 'short', 'paper', 'we', 'report', 'of', 'our', 'recent', 'results', 'on', 'globular', 'cluster', 'mergers', 'obtained', 'by', 'mean', 'of', 'detailed', 'nbody', 'simulations']] | [-0.10654921087169254, 0.1234252886972327, -0.08759314443892618, 0.13219507005766878, -0.07413706800705472, -0.014495381274145068, 0.033722699053997045, 0.40130831721390403, -0.12442861078307033, -0.3363622013811571, 0.01430094077129119, -0.3057075389336015, -0.0863115977181858, 0.2071900053956914, -0.05434343025319336, -0.08145207030131922, 0.11275604812702698, -0.040483961495491425, -0.011289796538835089, -0.33745659256982075, 0.3310822064504605, 0.08307633023391399, 0.12721436222078453, -0.09463097538181775, 0.04515726934728581, -0.05125091104703241, -0.08581356440721326, -0.0041084986815387884, -0.13303607050233562, 0.044388189710597256, 0.2758936605437897, 0.14270937983885176, 0.25802312222446583, -0.39509172119243546, -0.1977693521410458, 0.09083989366542461, 0.26999147357455233, 0.0911895702051562, -0.17464686410100913, -0.30379034608039396, 0.12914476862588767, -0.18472292262324413, -0.22599332996593544, 0.06428113078893444, 0.07208783899672157, 0.054516734584241874, -0.1363866786256364, 0.16294844698002056, 0.06563642035421641, 0.02760023007876882, -0.1326501019761082, -0.0790135274070871, -0.04625725190429551, 0.06775001114457233, 0.03775102849833147, 0.08622403652587718, 0.22625083287513648, -0.11774137485844567, -0.0627104444320985, 0.3967896210049575, 0.0340471099962863, 0.0076617578174485714, 0.2775065011323191, -0.2306124599715478, -0.23398486929476375, 0.07274069640760188, 0.1394879877650316, 0.13085797640617736, -0.172862837809434, 0.032047183501043235, -0.0477260109181552, 0.1939436450037499, 0.053318697991672645, 0.04427934306955268, 0.3909103480247102, 0.11776210504851138, 0.02809824710558421, 0.07589069408158837, -0.15832159652865616, -0.04275767178890158, -0.21549736117121093, -0.09927866804276327, -0.1193356900611286, 0.08805605903080152, -0.11180673112218312, -0.1221699397397307, 0.2636176593125213, 0.058789009341154275, 0.17832016188817373, 0.03366313969207451, 0.2754045745892626, 0.0366473104597192, 0.13208426848819205, 0.13914716043401248, 0.3360844365783151, 0.15884537323984468, 0.044467567888543356, -0.2234435631070546, 0.019931359721939695, -0.012096760487689297] |
709.0456 | An Improbable Solution to the Underluminosity of 2M1207B: A Hot
Protoplanet Collision Afterglow | We introduce an alternative hypothesis to explain the very low luminosity of
the cool (L-type) companion to the ~25 M_Jup ~8 Myr-old brown dwarf 2M1207A.
Recently, Mohanty et al. (2007) found that effective temperature estimates for
2M1207B (1600 +- 100 K) are grossly inconsistent with its lying on the same
isochrone as the primary, being a factor of ~10 underluminous at all bands
between I (0.8 um) and L' (3.6 um). Mohanty et al. explain this discrepency by
suggesting that 2M1207B is an 8 M_Jup object surrounded by an edge-on disk
comprised of large dust grains producing 2.5^m of achromatic extinction. We
offer an alternative explanation: the apparent flux reflects the actual source
luminosity. Given the temperature, we infer a small radius (~49,000 km), and
for a range of plausible densities, we estimate a mass < M_Jup. We suggest that
2M1207B is a hot protoplanet collision afterglow and show that the radiative
timescale for such an object is >~1% the age of the system. If our hypothesis
is correct, the surface gravity of 2M1207B should be an order of magnitude
lower than predicted by Mohanty et al. (2007).
| astro-ph | we introduce an alternative hypothesis to explain the very low luminosity of the cool ltype companion to the 25 m_jup 8 myrold brown dwarf 2m1207a recently mohanty et al 2007 found that effective temperature estimates for 2m1207b 1600 100 k are grossly inconsistent with its lying on the same isochrone as the primary being a factor of 10 underluminous at all bands between i 08 um and l 36 um mohanty et al explain this discrepency by suggesting that 2m1207b is an 8 m_jup object surrounded by an edgeon disk comprised of large dust grains producing 25m of achromatic extinction we offer an alternative explanation the apparent flux reflects the actual source luminosity given the temperature we infer a small radius 49000 km and for a range of plausible densities we estimate a mass m_jup we suggest that 2m1207b is a hot protoplanet collision afterglow and show that the radiative timescale for such an object is 1 the age of the system if our hypothesis is correct the surface gravity of 2m1207b should be an order of magnitude lower than predicted by mohanty et al 2007 | [['we', 'introduce', 'an', 'alternative', 'hypothesis', 'to', 'explain', 'the', 'very', 'low', 'luminosity', 'of', 'the', 'cool', 'ltype', 'companion', 'to', 'the', '25', 'm_jup', '8', 'myrold', 'brown', 'dwarf', '2m1207a', 'recently', 'mohanty', 'et', 'al', '2007', 'found', 'that', 'effective', 'temperature', 'estimates', 'for', '2m1207b', '1600', '100', 'k', 'are', 'grossly', 'inconsistent', 'with', 'its', 'lying', 'on', 'the', 'same', 'isochrone', 'as', 'the', 'primary', 'being', 'a', 'factor', 'of', '10', 'underluminous', 'at', 'all', 'bands', 'between', 'i', '08', 'um', 'and', 'l', '36', 'um', 'mohanty', 'et', 'al', 'explain', 'this', 'discrepency', 'by', 'suggesting', 'that', '2m1207b', 'is', 'an', '8', 'm_jup', 'object', 'surrounded', 'by', 'an', 'edgeon', 'disk', 'comprised', 'of', 'large', 'dust', 'grains', 'producing', '25m', 'of', 'achromatic', 'extinction', 'we', 'offer', 'an', 'alternative', 'explanation', 'the', 'apparent', 'flux', 'reflects', 'the', 'actual', 'source', 'luminosity', 'given', 'the', 'temperature', 'we', 'infer', 'a', 'small', 'radius', '49000', 'km', 'and', 'for', 'a', 'range', 'of', 'plausible', 'densities', 'we', 'estimate', 'a', 'mass', 'm_jup', 'we', 'suggest', 'that', '2m1207b', 'is', 'a', 'hot', 'protoplanet', 'collision', 'afterglow', 'and', 'show', 'that', 'the', 'radiative', 'timescale', 'for', 'such', 'an', 'object', 'is', '1', 'the', 'age', 'of', 'the', 'system', 'if', 'our', 'hypothesis', 'is', 'correct', 'the', 'surface', 'gravity', 'of', '2m1207b', 'should', 'be', 'an', 'order', 'of', 'magnitude', 'lower', 'than', 'predicted', 'by', 'mohanty', 'et', 'al', '2007']] | [-0.0683569454047228, 0.12552781347720507, -0.06920803112718928, 0.08300442327757776, -0.09118773922779827, -0.10312920331864828, 0.04864731623530789, 0.3846936624857687, -0.13956481391364978, -0.42396560023909297, 0.0525833304585909, -0.27026643996096905, -0.03618355487349383, 0.16861868498506405, -0.12885661246204969, -0.04020653184633502, 0.04339283316706618, -0.09169927902296887, -0.03049080976865865, -0.26233072787828704, 0.2485359331257441, 0.11429426009185932, 0.11560696488000974, 0.015296482898843205, 0.08179317713184382, -0.08911125280679033, -0.033570523178818264, -0.0533818626295655, -0.1888722363223825, 0.028380967336156034, 0.19154585484084824, 0.09399613263824033, 0.19629572658118621, -0.304086402190038, -0.18110661521186752, 0.057148605656449594, 0.13432878649528188, 0.009912323968995723, -0.022211551880939633, -0.2501953794015071, 0.11843585379775964, -0.22673700832804383, -0.1859205223517292, 0.08674175454922001, 0.16492618531018735, -0.05878742603004299, -0.27993621263698104, 0.14242929187074418, 0.07442429148521955, 0.119172659134292, -0.1247946475388392, -0.17678800429735753, -0.04973517714183457, 0.00025646825651487996, -0.006577536187094626, 0.10877034405837216, 0.1463286653937151, -0.06315930734854192, -0.03754841689000367, 0.35024534267002855, -0.09009856975023066, 0.012260679135559708, 0.26264369080183647, -0.1363615933029602, -0.0881193426352555, 0.17792478804501594, 0.0904334825914233, 0.11447156939445244, -0.1676290143801961, 0.010317277812157378, -0.07364710963954549, 0.2440041747439893, 0.08063360861182133, 0.01778205038769351, 0.3410527690323771, 0.14900700715436194, 0.018339967142329903, 0.04879707529307193, -0.23546856883362496, 0.013448645696557198, -0.2367242696564845, -0.13578075595119948, -0.1686862051391208, 0.09879986151692367, -0.13572594521904266, -0.10357964176043707, 0.2852609017698009, 0.1490934706350628, 0.2749673202683929, 0.06063139706509568, 0.24692715608054192, 0.10526663427221118, 0.08339042781591816, 0.1823763872737125, 0.3222607398475771, 0.14277125705629387, 0.07317900675303873, -0.20855762866596061, 0.04062704389966663, 0.009542122067663299] |
709.0457 | Computed Coupling Efficiencies of Kolmogorov Phase Screens into
Single-Mode Optical Fibers | Coupling efficiencies of an electromagnetic field with a Kolmogorov phase
statistics into a step-index fiber in its monomode regime of wavelengths are
computed from the overlap integral between the phase screens and the far-field
of the monomode at infrared wavelengths. The phase screens are composed from
Karhunen-Loeve basis functions, optionally cutting off some of the eigenmodes
of largest eigenvalue as if Adaptive Optics had corrected for some of the
perturbations. The examples are given for telescope diameters of 1 and 1.8 m,
and Fried parameters of 10 and 20 cm. The wavelength of the stellar light is in
the J, H, or K band of atmospheric transmission, where the fiber core diameter
is tailored to move the cutoff wavelength of the monomode regime to the edges
of these bands.
| astro-ph | coupling efficiencies of an electromagnetic field with a kolmogorov phase statistics into a stepindex fiber in its monomode regime of wavelengths are computed from the overlap integral between the phase screens and the farfield of the monomode at infrared wavelengths the phase screens are composed from karhunenloeve basis functions optionally cutting off some of the eigenmodes of largest eigenvalue as if adaptive optics had corrected for some of the perturbations the examples are given for telescope diameters of 1 and 18 m and fried parameters of 10 and 20 cm the wavelength of the stellar light is in the j h or k band of atmospheric transmission where the fiber core diameter is tailored to move the cutoff wavelength of the monomode regime to the edges of these bands | [['coupling', 'efficiencies', 'of', 'an', 'electromagnetic', 'field', 'with', 'a', 'kolmogorov', 'phase', 'statistics', 'into', 'a', 'stepindex', 'fiber', 'in', 'its', 'monomode', 'regime', 'of', 'wavelengths', 'are', 'computed', 'from', 'the', 'overlap', 'integral', 'between', 'the', 'phase', 'screens', 'and', 'the', 'farfield', 'of', 'the', 'monomode', 'at', 'infrared', 'wavelengths', 'the', 'phase', 'screens', 'are', 'composed', 'from', 'karhunenloeve', 'basis', 'functions', 'optionally', 'cutting', 'off', 'some', 'of', 'the', 'eigenmodes', 'of', 'largest', 'eigenvalue', 'as', 'if', 'adaptive', 'optics', 'had', 'corrected', 'for', 'some', 'of', 'the', 'perturbations', 'the', 'examples', 'are', 'given', 'for', 'telescope', 'diameters', 'of', '1', 'and', '18', 'm', 'and', 'fried', 'parameters', 'of', '10', 'and', '20', 'cm', 'the', 'wavelength', 'of', 'the', 'stellar', 'light', 'is', 'in', 'the', 'j', 'h', 'or', 'k', 'band', 'of', 'atmospheric', 'transmission', 'where', 'the', 'fiber', 'core', 'diameter', 'is', 'tailored', 'to', 'move', 'the', 'cutoff', 'wavelength', 'of', 'the', 'monomode', 'regime', 'to', 'the', 'edges', 'of', 'these', 'bands']] | [-0.13133406521781354, 0.1867740139546362, -0.07420098719136543, -0.010614401978519998, -0.03540662316923109, -0.11878189937998504, 0.024304683031442093, 0.421689847094375, -0.24372187686015584, -0.2875776436367585, 0.11388575478976723, -0.30306385575916417, -0.0724305143948038, 0.20794632857802592, -0.0022239090853132483, 0.034705677852255666, 0.01858890662330759, -0.01952582135500545, -0.02148258628850702, -0.16528132603171664, 0.3057871901857948, 0.06902106138047322, 0.21536420626216568, 0.006748653529572856, 0.08362303791719294, -0.005098690132632158, -0.03376873108998749, -0.01385572561976146, -0.12924582629948278, 0.08354574688457587, 0.23520056264104536, 0.05239059425377857, 0.22163564598371902, -0.39106965512614844, -0.18684547263118187, 0.06596287121173254, 0.1175465068794325, 0.04221761352996262, 0.021741545099454623, -0.24846568720256404, 0.03183370301149814, -0.07182582805128118, -0.16733764436153709, 0.04830974009704267, 0.034781282537530156, 0.052858289002707996, -0.2644330886113205, 0.013618651145794827, 0.013885950763500476, 0.07475126267576865, -0.03031960656494624, -0.12642322408843987, -0.06391337007923095, 0.12452311720157605, -0.017735442698954842, 0.0024237864715761915, 0.11741800144199253, -0.14751723910458098, -0.023867142927298655, 0.3746576190577791, -0.06760617517035945, -0.1016885107383132, 0.13361182500240068, -0.18353366977426894, -0.004799620100376449, 0.22675512044134644, 0.13927274518610203, 0.10803088762746878, -0.08819721130177725, 0.08507722347086771, 0.01290183582942384, 0.20374057970601747, 0.15874702985535644, 0.10956159082436284, 0.2272196951170647, 0.11473958406510741, 0.024877380710113216, 0.13368526389172605, -0.19628612492991568, -0.02882801132166556, -0.31008068372517134, -0.12612217731319023, -0.2092847353381704, 0.03993161320108776, -0.14212225667819608, -0.1532735982693212, 0.392779016737328, 0.08050808245532734, 0.1811971367217687, 0.05046674348377846, 0.29118823828969814, 0.1082733318438869, 0.10237643376440388, 0.0635035616064141, 0.32428902447766933, 0.17227478577870906, 0.09460696520540113, -0.20738397401851394, -0.0785260695834146, 0.04045727336869481] |
709.0458 | A LED Flasher for TUNKA experiment | A LED flasher has been developed for TUNKA-133 EAS Cherenkov detector. A blue
ultra bright InGaN LED is used as a light source in the flasher. The flasher's
driver is based on a fast discharge of a small capacitor via a complementary
pair of fast RF transistors. The light yield of the flasher is adjusted in the
wide range of from 0 to up to 10**9 photons per pulse. The results of studies
of the flasher's amplitude and timing parameters and their stability are
presented.
| physics.ins-det | a led flasher has been developed for tunka133 eas cherenkov detector a blue ultra bright ingan led is used as a light source in the flasher the flashers driver is based on a fast discharge of a small capacitor via a complementary pair of fast rf transistors the light yield of the flasher is adjusted in the wide range of from 0 to up to 109 photons per pulse the results of studies of the flashers amplitude and timing parameters and their stability are presented | [['a', 'led', 'flasher', 'has', 'been', 'developed', 'for', 'tunka133', 'eas', 'cherenkov', 'detector', 'a', 'blue', 'ultra', 'bright', 'ingan', 'led', 'is', 'used', 'as', 'a', 'light', 'source', 'in', 'the', 'flasher', 'the', 'flashers', 'driver', 'is', 'based', 'on', 'a', 'fast', 'discharge', 'of', 'a', 'small', 'capacitor', 'via', 'a', 'complementary', 'pair', 'of', 'fast', 'rf', 'transistors', 'the', 'light', 'yield', 'of', 'the', 'flasher', 'is', 'adjusted', 'in', 'the', 'wide', 'range', 'of', 'from', '0', 'to', 'up', 'to', '109', 'photons', 'per', 'pulse', 'the', 'results', 'of', 'studies', 'of', 'the', 'flashers', 'amplitude', 'and', 'timing', 'parameters', 'and', 'their', 'stability', 'are', 'presented']] | [-0.11077720587525297, 0.17354217230287544, -0.10316729734049124, 0.01487968744682696, -0.02936598224674954, -0.13288909171653143, 0.03727180196848862, 0.4132988493232166, -0.1519572643453584, -0.347111301660976, 0.0858413983739036, -0.27500646665747114, -0.034736169491182356, 0.2914496200843988, -0.06885712386711555, 0.0683530128451393, 0.07513272368951755, -0.019433641017359844, 0.00632789400543141, -0.17121724435950028, 0.16838228899766416, 0.11820934360079906, 0.26452303573708325, 0.05101074628970202, 0.15018710141234537, -0.05144006499801489, -0.03422063240671859, -0.05289182996048647, -0.06105877050362966, 0.0791927109746372, 0.21148787210969364, 0.11013600120923536, 0.24630679057582336, -0.4140602320432663, -0.2101966684903292, 0.07330005629097715, 0.11980480319162941, 0.04685829314403236, -0.12546465648475158, -0.2598552159745904, 0.11463551443508442, -0.1871093093910638, -0.1323039197089041, 0.07646545337184388, 0.0009807068580651983, 0.13215291426133582, -0.24808847096693867, -0.007972665574839886, -0.01706479732221102, 0.007934555653756593, -0.01708930407048148, -0.10496107487501029, 0.021346046162002228, 0.07257041009142995, 0.02237057678456254, 0.05404832771677962, 0.16172155136899913, -0.1063043369418558, -0.06810520776711843, 0.345869933912421, -0.09928181197439485, -0.07118742887807243, 0.18352270126616693, -0.12197331132038551, -0.061781603481401416, 0.22735600725692862, 0.17387984186986133, 0.1329059561166693, -0.18040910235003513, 0.025555728812811568, 0.030377960478311733, 0.22142121761160738, 0.09107630074791172, 0.05816011851763024, 0.26898797014180353, 0.25223312171943046, 0.022508912259603248, 0.15182392084697152, -0.20501486541538994, 0.00959575544385349, -0.2570010360220776, -0.1289620180559509, -0.156721657229697, 0.07437570241882521, -0.0415493893871933, -0.1655650582164526, 0.4520392820239067, 0.09519496194689589, 0.157835615590653, -0.04396660333389745, 0.3108096600017127, 0.09328785174772801, 0.10228300962651915, 0.0005948868689729887, 0.28930591081871704, 0.18968403111759793, 0.1409045960589805, -0.21014283264658468, 0.04566711628919139, -0.02709195556886056] |
709.0459 | Sur les fonctions \`a singularit\'e de dimension 1 | In this article we show that all results proved for a large class of
holomorphic germs $f : (\mathbb{C}^{n+1}, 0) \to (\mathbb{C}, 0)$ with a
1-dimension singularity in [B.II] are valid for an arbitrary such germ.
| math.CV math.AG | in this article we show that all results proved for a large class of holomorphic germs f mathbbcn1 0 to mathbbc 0 with a 1dimension singularity in bii are valid for an arbitrary such germ | [['in', 'this', 'article', 'we', 'show', 'that', 'all', 'results', 'proved', 'for', 'a', 'large', 'class', 'of', 'holomorphic', 'germs', 'f', 'mathbbcn1', '0', 'to', 'mathbbc', '0', 'with', 'a', '1dimension', 'singularity', 'in', 'bii', 'are', 'valid', 'for', 'an', 'arbitrary', 'such', 'germ']] | [-0.23675893651587623, 0.018731184866295995, -0.020884755819237658, 0.029575756202185794, -0.051411655372274774, -0.15522376370749302, -0.08669828636837858, 0.34712573353733334, -0.282503552016403, -0.09612743306372847, 0.04378760586093579, -0.25476199718458314, -0.16737950235339147, 0.20995849285806928, -0.0754222173110715, 0.05024507484797921, 0.011574978101998567, 0.06485728410937425, -0.0748907561746559, -0.24095189901334899, 0.4190521810735975, -0.1381155863404274, 0.13566058413790805, 0.06959379081215178, 0.10690091095332588, -0.03744896312377283, 0.07223765601270965, -0.0005830630127872739, -0.21817016831170935, 0.039958074476037705, 0.37213702659521786, 0.06177194703902517, 0.2880439679537501, -0.33749974593520166, -0.17480072858078138, 0.234170595609716, 0.19207014360332064, 0.023028967529535295, -0.04359030090272427, -0.27649465945682355, 0.1968329793108361, -0.11164605585592134, -0.26411616767623597, -0.09417768272438219, 0.10689745385731969, 0.03170527888994132, -0.33325912436204297, -0.002625973602490766, 0.15855055368904555, 0.12120785862207413, -0.08279562498043691, -0.0897724663572652, -0.0589438797639949, 0.05810936857014894, -0.011059558830623116, 0.1868201356780316, 0.047412740851619416, -0.08948690366399076, -0.05359125520501818, 0.3065905359174524, -0.11346216797828675, -0.2768473141959735, 0.12390912385723953, -0.24550472412790572, -0.24879399741600666, 0.13026226375784192, 0.06691948023757764, 0.237582630025489, -0.051604071326021635, 0.24324349790279354, -0.0775023919663259, 0.06769990253129175, 0.11153557269967028, -0.04053068311352815, 0.1388500536326319, 0.04323628091120294, 0.06747406210218157, 0.10061122512311808, 0.010406695572393281, 0.013805040091808354, -0.42534599048750743, -0.23543942836778506, -0.12477270977105945, 0.22169624801192964, -0.09003137541668756, -0.20127005731420858, 0.33976116265569417, 0.09490086365757244, 0.25815990482057843, 0.20050872127924646, 0.16673482159323091, 0.056876538055283685, 0.009025918359735182, 0.09618297937725272, 0.12351989320346288, 0.06586892354701246, -0.021004421663071426, -0.055861604453197544, -0.028399355110845396, 0.0851406954228878] |
709.046 | Tidal tails around globular clusters | We present the results of detailed N-body simulations of clusters moving in a
realistic Milky Way (MW) potential. The strong interaction with the bulge and
the disk of the Galaxy leads to the formation of tidal tails, emanating from
opposite sides of the cluster. Their orientation and morphology may be
interpreted easily in terms of a comoving frame of coordinates.
| astro-ph | we present the results of detailed nbody simulations of clusters moving in a realistic milky way mw potential the strong interaction with the bulge and the disk of the galaxy leads to the formation of tidal tails emanating from opposite sides of the cluster their orientation and morphology may be interpreted easily in terms of a comoving frame of coordinates | [['we', 'present', 'the', 'results', 'of', 'detailed', 'nbody', 'simulations', 'of', 'clusters', 'moving', 'in', 'a', 'realistic', 'milky', 'way', 'mw', 'potential', 'the', 'strong', 'interaction', 'with', 'the', 'bulge', 'and', 'the', 'disk', 'of', 'the', 'galaxy', 'leads', 'to', 'the', 'formation', 'of', 'tidal', 'tails', 'emanating', 'from', 'opposite', 'sides', 'of', 'the', 'cluster', 'their', 'orientation', 'and', 'morphology', 'may', 'be', 'interpreted', 'easily', 'in', 'terms', 'of', 'a', 'comoving', 'frame', 'of', 'coordinates']] | [-0.14168809126131238, 0.026262618019245565, -0.14392922629582852, 0.05118270278908312, -0.0967901613524494, 0.01594171127459655, -0.010636700465208074, 0.4034747985502084, -0.23783843978308142, -0.34515275976931054, -0.03337282921808461, -0.24200066837171713, -0.029612721999486287, 0.18273707372136413, -0.003391920883829395, -0.0354797142247359, 0.0702703071020854, -0.02697221493969361, -0.05525223118602298, -0.2344728879746981, 0.29687740849331024, 0.08106899086075524, 0.13526926327807207, -0.04177388027310371, 0.051461325321967406, -0.04489795730914921, -0.05347044241304199, 0.027973940890903274, -0.14678752218994, 0.10068446095586599, 0.14823052608505047, 0.0876939132809639, 0.2286899312088887, -0.47511859610676765, -0.17890540671845276, 0.02765028594682614, 0.23109869671364625, 0.11033614499804874, -0.11466391421854497, -0.3129693048695723, 0.07322520096010218, -0.19635694418878605, -0.24702558782882988, 0.07439500138474008, 0.018629964410016932, 0.10560239117282132, -0.2154375367021809, 0.17973725190386175, 0.06391514256441345, 0.04493038637253145, -0.09979224060662091, -0.042963002963612475, -0.07160437335260213, 0.14382816660411965, 0.05331469737769415, 0.07446464085175346, 0.22883795205658922, -0.15023966263979674, -0.052700112317688765, 0.46360376648372037, -0.05450876185980936, -0.09664378085484107, 0.2513033361174166, -0.22073731190369775, -0.09493937477624664, 0.06965645127153645, 0.1753245907370001, 0.09531729640439153, -0.1390713058412075, 0.05836073424628315, -0.046838698524516074, 0.13428983458628257, 0.08968228744342924, 0.02591434269779711, 0.3517850107202927, 0.07270370659728845, 0.047526185012732945, 0.161539782663264, -0.1740294284730529, -0.09525776567558447, -0.2927686800248921, -0.09494496813664834, -0.11681064832955598, 0.024684487197858592, -0.18158210601298683, -0.15015022768639028, 0.38695940557712066, 0.09143466095168454, 0.24900118426109355, 0.018228137298622944, 0.2978356173572441, 0.05440992422712346, 0.11310259108043587, 0.06720382197915266, 0.28281192880434297, 0.14723900811125834, 0.04165578947092096, -0.2632514142547734, 0.06308898324302087, -0.023889915524826697] |
709.0461 | Simulations of astronomical imaging phased arrays | We describe a theoretical procedure for analyzing astronomical phased arrays
with overlapping beams, and apply the procedure to simulate a simple example.
We demonstrate the effect of overlapping beams on the number of degrees of
freedom of the array, and on the ability of the array to recover a source. We
show that the best images are obtained using overlapping beams, contrary to
common practise, and show how the dynamic range of a phased array directly
affects the image quality.
| astro-ph | we describe a theoretical procedure for analyzing astronomical phased arrays with overlapping beams and apply the procedure to simulate a simple example we demonstrate the effect of overlapping beams on the number of degrees of freedom of the array and on the ability of the array to recover a source we show that the best images are obtained using overlapping beams contrary to common practise and show how the dynamic range of a phased array directly affects the image quality | [['we', 'describe', 'a', 'theoretical', 'procedure', 'for', 'analyzing', 'astronomical', 'phased', 'arrays', 'with', 'overlapping', 'beams', 'and', 'apply', 'the', 'procedure', 'to', 'simulate', 'a', 'simple', 'example', 'we', 'demonstrate', 'the', 'effect', 'of', 'overlapping', 'beams', 'on', 'the', 'number', 'of', 'degrees', 'of', 'freedom', 'of', 'the', 'array', 'and', 'on', 'the', 'ability', 'of', 'the', 'array', 'to', 'recover', 'a', 'source', 'we', 'show', 'that', 'the', 'best', 'images', 'are', 'obtained', 'using', 'overlapping', 'beams', 'contrary', 'to', 'common', 'practise', 'and', 'show', 'how', 'the', 'dynamic', 'range', 'of', 'a', 'phased', 'array', 'directly', 'affects', 'the', 'image', 'quality']] | [-0.11429811448324471, 0.06785785149550065, -0.06295719140907749, 0.04971111386548728, -0.07813518098555505, -0.09201632669428364, 0.04985123912047129, 0.44858360798098146, -0.250333076226525, -0.34728047040407545, 0.11794473272166214, -0.2511392451357096, -0.14875712801876945, 0.22874641108792276, -0.03240333776921034, 0.029918043375801062, 0.1274513121577911, -0.02265202075941488, -0.01668513633485418, -0.2085549817653373, 0.2543656808789819, 0.09076144491555169, 0.32279973031254483, -0.006231026383466088, 0.15255905609810724, 0.05806177745689638, -0.05294887840282172, 0.03819307606318034, -0.0531952740017914, 0.15368634272599593, 0.23153616715862882, 0.15497644767165183, 0.1924085882899817, -0.4211779266013764, -0.19846923366421834, 0.06071354754967615, 0.1136807125469204, 0.14874209135305136, -0.026622093180776574, -0.27492684142198415, 0.05262730456888676, -0.11865662779309787, -0.16178561340202577, -0.06475971437757835, -0.058026517026883086, 0.0946869467254146, -0.2735264744842425, -0.008358870260417461, 0.0109181557840202, 0.019610069005284458, -0.014431246853200718, -0.12054051249288023, 0.047085632861126214, 0.12594663873314857, -0.014418970188125968, -0.014070492330938577, 0.09472064959118143, -0.10305153160588816, -0.08315285042626783, 0.37928139213472606, -0.045035050925798716, -0.18866330658493097, 0.19684135713614523, -0.17100497474893928, -0.07887690977659076, 0.13788171253399922, 0.2371108364313841, 0.10810255511314608, -0.11539607522427105, 0.01646598555453238, -0.05508398018428125, 0.22316406280733644, 0.11467740298539866, 0.037467206979636104, 0.24097449773689733, 0.17616747331921942, 0.03458665715297684, 0.2318089194886852, -0.17841700035496616, -0.023368034686427563, -0.2476461641024798, -0.1050033223349601, -0.19970246954762844, -0.01465038041351363, -0.04436134838269936, -0.14012827043479775, 0.4444460443221033, 0.1944416728671058, 0.18671641967375763, 0.03314771620789543, 0.2996963055687957, 0.004914931510575116, 0.07739906946662814, -0.012259546970017254, 0.2327656289562583, 0.12078968406713102, 0.051461464469321073, -0.2424914159520995, -0.03140165040967986, -0.021603793825488538] |
709.0462 | Self-consistent models of triaxial cuspy galaxies with dark matter halos | We have constructed realistic, self-consistent models of triaxial elliptical
galaxies embedded in triaxial dark matter halos. Self-consistent solutions by
means of the standard orbital superposition technique introduced by
Schwarzschild were found in each of the three cases studied. Chaotic orbits
were found to be important in all of the models, and their presence was shown
to imply a possible slow evolution of the shapes of the halos. The equilibrium
velocity distribution is reproduced by a Lorentzian function better than by a
Gaussian. Our results demonstrate for the first time that triaxial dark matter
halos can co-exist with triaxial galaxies.
| astro-ph | we have constructed realistic selfconsistent models of triaxial elliptical galaxies embedded in triaxial dark matter halos selfconsistent solutions by means of the standard orbital superposition technique introduced by schwarzschild were found in each of the three cases studied chaotic orbits were found to be important in all of the models and their presence was shown to imply a possible slow evolution of the shapes of the halos the equilibrium velocity distribution is reproduced by a lorentzian function better than by a gaussian our results demonstrate for the first time that triaxial dark matter halos can coexist with triaxial galaxies | [['we', 'have', 'constructed', 'realistic', 'selfconsistent', 'models', 'of', 'triaxial', 'elliptical', 'galaxies', 'embedded', 'in', 'triaxial', 'dark', 'matter', 'halos', 'selfconsistent', 'solutions', 'by', 'means', 'of', 'the', 'standard', 'orbital', 'superposition', 'technique', 'introduced', 'by', 'schwarzschild', 'were', 'found', 'in', 'each', 'of', 'the', 'three', 'cases', 'studied', 'chaotic', 'orbits', 'were', 'found', 'to', 'be', 'important', 'in', 'all', 'of', 'the', 'models', 'and', 'their', 'presence', 'was', 'shown', 'to', 'imply', 'a', 'possible', 'slow', 'evolution', 'of', 'the', 'shapes', 'of', 'the', 'halos', 'the', 'equilibrium', 'velocity', 'distribution', 'is', 'reproduced', 'by', 'a', 'lorentzian', 'function', 'better', 'than', 'by', 'a', 'gaussian', 'our', 'results', 'demonstrate', 'for', 'the', 'first', 'time', 'that', 'triaxial', 'dark', 'matter', 'halos', 'can', 'coexist', 'with', 'triaxial', 'galaxies']] | [-0.09942738395542931, 0.11032478536262808, -0.14179314313588118, 0.13896778129591522, -0.03158918397990291, -0.08177749428314844, -0.086773541022205, 0.38457585184486826, -0.1295712045017592, -0.36225938537355623, -0.010275693794928792, -0.21046466132005057, -0.0943176087387132, 0.18525656011200162, 0.007077031430195679, 0.0816928708003928, 0.026218332754767905, -0.047065461547151584, -0.07333992200379137, -0.28773798292145286, 0.3232653150617173, 0.03664224732178028, 0.1825778791116494, -0.1035578739594179, 0.06749663221640419, -0.05019118610035741, -0.02271291111229044, 0.026654941931900048, -0.16048679280018663, 0.011805218940770084, 0.19621067065041514, 0.08003843554079232, 0.22454877252539976, -0.442363460388298, -0.27642410988725413, 0.09693074050933273, 0.22305928190436328, 0.1256088362160054, -0.0918838571371379, -0.3351276233002092, 0.09701702758350005, -0.20800419011614238, -0.21102595509904803, -0.06434895008840043, 0.022129826285321303, 0.0760403840010045, -0.19830147540102702, 0.18009620001821808, 0.047027518551189904, -0.015974472627288315, -0.10003581793621333, -0.1079069381965456, -0.08109102798672864, 0.026190352837809107, 0.048854246272263355, -0.009123703229683216, 0.2062523925742793, -0.09747970024725855, -0.055115411034550026, 0.45485290239630927, -0.06376855244529034, -0.1515676523041394, 0.15970760588581212, -0.16283768580078778, -0.10682194383645599, 0.13193111844135053, 0.12183030307612787, 0.12961261644206865, -0.14997282717376947, 0.06023297966352071, -0.04936231622905141, 0.16333487001482885, 0.05893073863152302, -0.04338625675029676, 0.3330415518803879, 0.11443934069400785, 0.008650760689628018, 0.09758602286044583, -0.09234009459238461, -0.10601277683798055, -0.22249308008361945, -0.06917960094076327, -0.15535949200810395, 0.006109058438339318, -0.10429113798858856, -0.11809435194314721, 0.3974384026733613, 0.054066924223055444, 0.20173179412806275, 0.051900698935067414, 0.3089048989008962, 0.0736311173426326, 0.05949423364551757, 0.09595415096334887, 0.3281684871386699, 0.16834369999582344, 0.017163471920848494, -0.2039143844664031, 0.04879645511714949, -0.03726183560046584] |
709.0463 | Vortices on a superconducting nanoshell: phase diagram and dynamics | In superconductors, the search for special vortex states such as giant
vortices focuses on laterally confined or nanopatterned thin superconducting
films, disks, rings, or polygons. We examine the possibility to realize giant
vortex states and states with non-uniform vorticity on a superconducting
spherical nanoshell, due to the interplay of the topology and the applied
magnetic field. We derive the phase diagram and identify where, as a function
of the applied magnetic field, the shell thickness and the shell radius, these
different vortex phases occur. Moreover, the curved geometry allows these
states (or a vortex lattice) to coexist with a Meissner state, on the same
curved film. We have examined the dynamics of the decay of giant vortices or
states with non-uniform vorticity into a vortex lattice, when the magnetic
field is adapted so that a phase boundary is crossed.
| cond-mat.supr-con | in superconductors the search for special vortex states such as giant vortices focuses on laterally confined or nanopatterned thin superconducting films disks rings or polygons we examine the possibility to realize giant vortex states and states with nonuniform vorticity on a superconducting spherical nanoshell due to the interplay of the topology and the applied magnetic field we derive the phase diagram and identify where as a function of the applied magnetic field the shell thickness and the shell radius these different vortex phases occur moreover the curved geometry allows these states or a vortex lattice to coexist with a meissner state on the same curved film we have examined the dynamics of the decay of giant vortices or states with nonuniform vorticity into a vortex lattice when the magnetic field is adapted so that a phase boundary is crossed | [['in', 'superconductors', 'the', 'search', 'for', 'special', 'vortex', 'states', 'such', 'as', 'giant', 'vortices', 'focuses', 'on', 'laterally', 'confined', 'or', 'nanopatterned', 'thin', 'superconducting', 'films', 'disks', 'rings', 'or', 'polygons', 'we', 'examine', 'the', 'possibility', 'to', 'realize', 'giant', 'vortex', 'states', 'and', 'states', 'with', 'nonuniform', 'vorticity', 'on', 'a', 'superconducting', 'spherical', 'nanoshell', 'due', 'to', 'the', 'interplay', 'of', 'the', 'topology', 'and', 'the', 'applied', 'magnetic', 'field', 'we', 'derive', 'the', 'phase', 'diagram', 'and', 'identify', 'where', 'as', 'a', 'function', 'of', 'the', 'applied', 'magnetic', 'field', 'the', 'shell', 'thickness', 'and', 'the', 'shell', 'radius', 'these', 'different', 'vortex', 'phases', 'occur', 'moreover', 'the', 'curved', 'geometry', 'allows', 'these', 'states', 'or', 'a', 'vortex', 'lattice', 'to', 'coexist', 'with', 'a', 'meissner', 'state', 'on', 'the', 'same', 'curved', 'film', 'we', 'have', 'examined', 'the', 'dynamics', 'of', 'the', 'decay', 'of', 'giant', 'vortices', 'or', 'states', 'with', 'nonuniform', 'vorticity', 'into', 'a', 'vortex', 'lattice', 'when', 'the', 'magnetic', 'field', 'is', 'adapted', 'so', 'that', 'a', 'phase', 'boundary', 'is', 'crossed']] | [-0.20374844874516665, 0.22737317638833532, -0.06287280461422616, 0.04204742177121556, -0.06868301844224334, -0.10961607658042968, 0.03548925406158828, 0.38882200091594843, -0.23132624877650265, -0.24943332416976957, 0.06945382112305504, -0.2191718429790369, -0.08197720607126252, 0.13491927576083823, 0.020619191758237485, 0.006774391469766767, -0.0128247009007354, -0.00028234117550494003, -0.06509855369662049, -0.18421439771714668, 0.3760125369449957, -0.03743528101673658, 0.3272889125958192, 0.04753525771172181, 0.01857005695564498, -0.047194049375386335, 0.10034009767863765, 0.07829811005926818, -0.20566236497290982, 0.028703652459226896, 0.16500567112171607, -0.07760750789282402, 0.1567984800249767, -0.5477175381061413, -0.19466008779947921, 0.0459453297323353, 0.1719798714110105, 0.1398183881680367, -0.05732434285091062, -0.31870160209644827, 0.023362574740413495, -0.11985680215703927, -0.17906497267791802, -0.05450804024036947, 0.011734846529631252, 0.03531968879694347, -0.22568295457067047, 0.03758959106015537, 0.08952956356228792, 0.06539067466033073, -0.08075779360231589, -0.08628518271708874, -0.07777188982975354, 0.0520972601506983, 0.0373290533555015, 0.059610304623681436, 0.17375191973133697, -0.16148673002851002, -0.08673753165941445, 0.34816864396867564, -0.013710991228200334, -0.14882795888890357, 0.17708372391204236, -0.18131088165797898, -0.017337720807668544, 0.1623629863204756, 0.15268767125261345, 0.12430266109998707, -0.03726791049633929, 0.05551395325573068, -0.051904063465797325, 0.14569855153078226, 0.09007082713379276, 0.04283513564603041, 0.31245233105133763, 0.17230115030061374, 0.06193157701448222, 0.21344945411258143, -0.18411026408614442, -0.11046848156348728, -0.25409809034987746, -0.17948979177518928, -0.1871100707421843, 0.036514933334107394, -0.04222866132639335, -0.2660330154953136, 0.4020757640330054, 0.06866835243581199, 0.18225904591377362, -0.09403942868100118, 0.24071225703513022, 0.06579622559805515, 0.10824193386696011, 0.07871149103793738, 0.25600525801130336, 0.219290588930477, 0.11679172109347255, -0.27617280705322733, -0.015807737201023443, 0.048595028847335374] |
709.0464 | Beltrami States for Plasma Dynamics Models | The various plasma models - incompressible magnetohydrodynamic (MHD) model,
compressible MHD model, incompressible Hall MHD model, compressible Hall MHD
model, electron MHD model, compressible Hall MHD with electron inertia model -
notwithstanding the diversity of the underlying physics, are shown to exhibit
some common features in the Beltrami states like certain robustness with
respect to the plasma compressibility effects (albeit in the barotropy
assumption) and the {\it Bernoulli} condition. The Beltrami states for these
models are deduced by minimizing the appropriate total energy while keeping the
appropriate total helicity constant. A Hamiltonian formulation framework is
used to carry out these variational problems.
| physics.plasm-ph | the various plasma models incompressible magnetohydrodynamic mhd model compressible mhd model incompressible hall mhd model compressible hall mhd model electron mhd model compressible hall mhd with electron inertia model notwithstanding the diversity of the underlying physics are shown to exhibit some common features in the beltrami states like certain robustness with respect to the plasma compressibility effects albeit in the barotropy assumption and the it bernoulli condition the beltrami states for these models are deduced by minimizing the appropriate total energy while keeping the appropriate total helicity constant a hamiltonian formulation framework is used to carry out these variational problems | [['the', 'various', 'plasma', 'models', 'incompressible', 'magnetohydrodynamic', 'mhd', 'model', 'compressible', 'mhd', 'model', 'incompressible', 'hall', 'mhd', 'model', 'compressible', 'hall', 'mhd', 'model', 'electron', 'mhd', 'model', 'compressible', 'hall', 'mhd', 'with', 'electron', 'inertia', 'model', 'notwithstanding', 'the', 'diversity', 'of', 'the', 'underlying', 'physics', 'are', 'shown', 'to', 'exhibit', 'some', 'common', 'features', 'in', 'the', 'beltrami', 'states', 'like', 'certain', 'robustness', 'with', 'respect', 'to', 'the', 'plasma', 'compressibility', 'effects', 'albeit', 'in', 'the', 'barotropy', 'assumption', 'and', 'the', 'it', 'bernoulli', 'condition', 'the', 'beltrami', 'states', 'for', 'these', 'models', 'are', 'deduced', 'by', 'minimizing', 'the', 'appropriate', 'total', 'energy', 'while', 'keeping', 'the', 'appropriate', 'total', 'helicity', 'constant', 'a', 'hamiltonian', 'formulation', 'framework', 'is', 'used', 'to', 'carry', 'out', 'these', 'variational', 'problems']] | [-0.14402725082240067, 0.1777034905226901, -0.052128074229694905, 0.11565975204692222, -0.05221769624389708, -0.18148992862086744, -0.09214759833179414, 0.2748068854771554, -0.3068428040295839, -0.33028800297353883, 0.049622795013710856, -0.2274708203691989, -0.06291577838361263, 0.16845618382561953, 0.012074591489508749, 0.19846336337737738, 0.0715481043420732, -0.0874795868434012, -0.054608967881649734, -0.17660004095640033, 0.30315478881821034, 0.08447160586714744, 0.3034580390714109, -0.03975263067986816, 0.08933435954153537, -0.11368308625882491, -0.017453596396371722, 0.07361573952250183, -0.15758968436246504, -0.006507448680931702, 0.20784677481140534, -0.017066421010531484, 0.2583437929395586, -0.5032260648533702, -0.3033601638674736, -0.012220830502919854, 0.08663043348351493, 0.12272140829125419, 0.02069320109090768, -0.2450881912652403, 0.034231879841536285, -0.20390996765345334, -0.1286383646540344, -0.10185021797660739, -0.034392348187684545, -0.007982486310065724, -0.29802943323738873, 0.14355652218917384, 0.11579735839739441, 0.05431243773549795, -0.17618888442171737, -0.12241957953199745, -0.08951593284262344, 0.0327552418410778, 0.11980341254267841, 0.024900453174486758, 0.11948946749791503, -0.21069436552468687, -0.08577261933125556, 0.4401340740174055, -0.010401959419250489, -0.32578902038745583, 0.20610206596786157, -0.18127685912419111, -0.0731978607783094, 0.16871540599502624, 0.15621404213830828, 0.03983909629983828, -0.09316648400854319, 0.0903069371212041, -0.1625503853696864, 0.09187221195548773, 0.004872546726837754, -0.022041407329961658, 0.22537617736496032, 0.11980107836425305, 0.030759164951741694, 0.09985784159391187, -0.1114743966772221, -0.12238455727696419, -0.3091199475992471, -0.13954863895662128, -0.1387366996053606, 0.09690721907652915, -0.07612009168587974, -0.20157949095679215, 0.377067171279341, 0.1970852443156764, 0.07075862235855311, 0.001000772025436163, 0.3120468790084124, 0.16928942827507854, -0.02977703576674685, 0.16920648814644665, 0.24763313558214578, 0.22672288213158026, 0.1623674306855537, -0.2924048038455658, 0.04630433010403067, 0.16258773177862168] |
709.0465 | Orbital periods of cataclysmic variables identified by the SDSS. II.
Measurements for six objects, including two eclipsing systems | Continuing our work from Paper I (Southworth et al., 2006) we present
medium-resolution spectroscopy and broad-band photometry of seven cataclysmic
variables (CVs) discovered by the SDSS. For six of these objects we derive
accurate orbital periods, all which are measured for the first time. For SDSS
J013132.39+090122.2, which contains a non-radially pulsating white dwarf, we
find an orbital period of 81.54 +/- 0.13 min and a low radial velocity
variation amplitude indicative of an extreme mass ratio. For SDSS
J205914.87+061220.4, we find a period of 107.52 +/- 0.14 min. This object is a
dwarf nova and was fading from its first recorded outburst throughout our
observations. INT photometry of SDSS J155531.99-001055.0 shows that this system
undergoes total eclipses which are 1.5 mag deep and occur on a period of 113.54
+/- 0.03 min. A NOT light curve of SDSS J075443.01+500729.2 shows that this
system is also eclipsing, on a period of 205.965 +/- 0.014 min, but here the
eclipses are V-shaped and only 0.5 mag deep. Its low emission-line strengths,
orbital period and V-shaped eclipse unambiguously mark it as a novalike object.
WHT photometry of SDSS J005050.88+000912.6 and SDSS J210449.94+010545.8 yields
periods of 80.3 +/- 2.2 and 103.62 +/- 0.12 min, respectively. Photometry of
the seventh and final system, SDSS J165658.12+212139.3, shows only flickering.
Our results strengthen the conclusion that the faint magnitude limit of the
SDSS spectroscopic database implies that the sample of CVs contained in it has
quite different characteristics to previously studied samples of these objects.
Five of the six orbital periods measured here are shorter than the observed 2-3
hr CV period gap. Two systems have periods very close to the minimum orbital
period for hydrogen-rich CVs.
| astro-ph | continuing our work from paper i southworth et al 2006 we present mediumresolution spectroscopy and broadband photometry of seven cataclysmic variables cvs discovered by the sdss for six of these objects we derive accurate orbital periods all which are measured for the first time for sdss j013132390901222 which contains a nonradially pulsating white dwarf we find an orbital period of 8154 013 min and a low radial velocity variation amplitude indicative of an extreme mass ratio for sdss j205914870612204 we find a period of 10752 014 min this object is a dwarf nova and was fading from its first recorded outburst throughout our observations int photometry of sdss j155531990010550 shows that this system undergoes total eclipses which are 15 mag deep and occur on a period of 11354 003 min a not light curve of sdss j075443015007292 shows that this system is also eclipsing on a period of 205965 0014 min but here the eclipses are vshaped and only 05 mag deep its low emissionline strengths orbital period and vshaped eclipse unambiguously mark it as a novalike object wht photometry of sdss j005050880009126 and sdss j210449940105458 yields periods of 803 22 and 10362 012 min respectively photometry of the seventh and final system sdss j165658122121393 shows only flickering our results strengthen the conclusion that the faint magnitude limit of the sdss spectroscopic database implies that the sample of cvs contained in it has quite different characteristics to previously studied samples of these objects five of the six orbital periods measured here are shorter than the observed 23 hr cv period gap two systems have periods very close to the minimum orbital period for hydrogenrich cvs | [['continuing', 'our', 'work', 'from', 'paper', 'i', 'southworth', 'et', 'al', '2006', 'we', 'present', 'mediumresolution', 'spectroscopy', 'and', 'broadband', 'photometry', 'of', 'seven', 'cataclysmic', 'variables', 'cvs', 'discovered', 'by', 'the', 'sdss', 'for', 'six', 'of', 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709.0466 | Comment on "Relativistic Aharonov-Bohm effect in the presence of planar
Coulomb potentials" | It is shown that the principal results of a recent work by Khalilov are
incorrect. These errors are attributable to the author's insistence that wave
functions must be regular at the origin even when the relevant potential is
singular at that point.
| quant-ph hep-th | it is shown that the principal results of a recent work by khalilov are incorrect these errors are attributable to the authors insistence that wave functions must be regular at the origin even when the relevant potential is singular at that point | [['it', 'is', 'shown', 'that', 'the', 'principal', 'results', 'of', 'a', 'recent', 'work', 'by', 'khalilov', 'are', 'incorrect', 'these', 'errors', 'are', 'attributable', 'to', 'the', 'authors', 'insistence', 'that', 'wave', 'functions', 'must', 'be', 'regular', 'at', 'the', 'origin', 'even', 'when', 'the', 'relevant', 'potential', 'is', 'singular', 'at', 'that', 'point']] | [-0.10187823011642094, 0.12243765607339943, -0.10879327009273011, 0.07810156495401227, -0.0631247493097695, -0.10901357030223419, -0.009481906345704706, 0.36556807996296303, -0.2555940380070086, -0.22241942102952703, 0.167725593124221, -0.33980524340053886, -0.21304230519184253, 0.2100030960197129, -0.06533903505925726, 0.04290238954126835, 0.08117156365613748, 0.053111443863954486, -0.041852476665886436, -0.2909171757538144, 0.39556423556513903, 0.07236751707316172, 0.21901844251083163, 0.08273820702849728, 0.02101084158369681, -0.06448035143179501, -0.011964606200685589, 0.05980400282253579, -0.05088377530135004, 0.08803743074034773, 0.2858135345414644, 0.0605980607385679, 0.2936106188359057, -0.40303506029815206, -0.2230746161601529, 0.10360357871778854, 0.09862009298465238, 0.13361416221028422, 0.015128884419071965, -0.26219828313261995, 0.16987616807313227, -0.08634530655221968, -0.17701012908094904, -0.08166600816042685, 0.06761437870857374, 0.03587814706672982, -0.24135025399850635, 0.08616629317857144, 0.08608218580030086, -0.005882457080410748, -0.030991573812349175, -0.14893107556896965, -0.03746688974703231, 0.09850570853450336, 0.10550666396029112, 0.10581521596759558, 0.0991732099252503, -0.06863163207180617, -0.07462713416529501, 0.35302920694599244, 0.0047574537215618095, -0.19940626575815967, 0.1973154467655482, -0.15834556522256718, -0.1287727996979545, 0.16841521845539895, 0.09557266763933911, 0.06931831938691618, -0.13856251507879677, 0.07627672801169044, -0.04387139561891317, 0.11828750673264106, 0.07158610513774542, -0.0017647306071367206, 0.2604883324990912, 0.04543377535712973, 0.04007294637764373, 0.04584056707155868, -0.03611290826257772, -0.05690011120878342, -0.3451306873296456, -0.08042808590320552, -0.22259003505474184, 0.035531495676145934, -0.032848096259574334, -0.11558522398955552, 0.3725314040373011, 0.19761331761028708, 0.17882063580540622, 0.009506179837555421, 0.28592132295413714, 0.17873905963695993, 0.0701334461933229, 0.06470628761936252, 0.27451565523245713, 0.04979161473513558, 0.043950917619484955, -0.1589829762488967, 0.1201633839760112, 0.02104730308964485] |
709.0467 | Lie-algebra Dolbeault cohomology and small deformations of nilmanifolds | We consider nilmanifolds with left-invariant complex structure and prove that
small deformations of such structures are again left invariant if the
Dolbeault-cohomology of the nilmanifold can be calculated using left-invariant
forms. By a result of Console and Fino this is generically the case. Our main
tool is an analog of Dolbeault-cohomology for Lie-algebras with complex
structure.
| math.AG math.DG | we consider nilmanifolds with leftinvariant complex structure and prove that small deformations of such structures are again left invariant if the dolbeaultcohomology of the nilmanifold can be calculated using leftinvariant forms by a result of console and fino this is generically the case our main tool is an analog of dolbeaultcohomology for liealgebras with complex structure | [['we', 'consider', 'nilmanifolds', 'with', 'leftinvariant', 'complex', 'structure', 'and', 'prove', 'that', 'small', 'deformations', 'of', 'such', 'structures', 'are', 'again', 'left', 'invariant', 'if', 'the', 'dolbeaultcohomology', 'of', 'the', 'nilmanifold', 'can', 'be', 'calculated', 'using', 'leftinvariant', 'forms', 'by', 'a', 'result', 'of', 'console', 'and', 'fino', 'this', 'is', 'generically', 'the', 'case', 'our', 'main', 'tool', 'is', 'an', 'analog', 'of', 'dolbeaultcohomology', 'for', 'liealgebras', 'with', 'complex', 'structure']] | [-0.16441000377569623, 0.1070827797717626, -0.0701128408588745, 0.0394458241730549, -0.08788499349935187, -0.10501601566836515, -0.11771275183289415, 0.3986912591822652, -0.3097041902688539, -0.23542298174773654, 0.13475758203788213, -0.2457451740435014, -0.23507229052484035, 0.2210675913978506, -0.06599973601772001, -0.02099026619732656, 0.07703060693866401, 0.10188020138863337, -0.06908622708740747, -0.22403027372072554, 0.442666317715689, 0.01671959921993591, 0.19218636019569305, 0.033833123424469876, 0.10727900753867019, -0.011670752695796115, 0.00784896056305755, 0.011413349459568659, -0.11843129674781705, 0.11909190648994236, 0.24627932614250178, 0.060191647524738476, 0.16140959924086928, -0.368971303484782, -0.14637972868082147, 0.13527536944106774, 0.11321278017755874, 0.05246513831877598, -0.06308813102077693, -0.3129806268779147, 0.17586415599496966, -0.14352121580116176, -0.16013660675984015, -0.1333946433711659, 0.030225278870030133, 0.007857700637369245, -0.22959718745658864, 0.04956177002922804, 0.1034049795664571, 0.07330234253917027, -0.08240372463370915, -0.04761634197051602, -0.07032849799617436, 0.11268384648590452, -0.003716835702545251, 0.03373093421019062, 0.08666383137891966, -0.049203675425680424, -0.11836670425341085, 0.42777791740027843, -0.08050767178819687, -0.2702099754716511, 0.13385876381976736, -0.14045871256988635, -0.19015645845448254, 0.0738260489543555, 0.1271542565362459, 0.17317639801789214, -0.07118252483929542, 0.1553660602011304, -0.08773636078048083, 0.12376945467958986, 0.04496512324894192, -0.03425355822158357, 0.13438882558020177, 0.1714314036157534, 0.1022938699806454, 0.114103866368101, 0.011338650137919036, -0.029073449377729384, -0.2950831784832257, -0.185992533168583, -0.09396909862860209, 0.16257515799737088, -0.08995784397390068, -0.17738120651079547, 0.36482526634440376, 0.0210523132916057, 0.22038509682062324, 0.06555027783744866, 0.24183502144835614, 0.08159808536314543, 0.07601557071838114, 0.09551077511989409, 0.1716801810802685, 0.1617852985833047, -0.0310995269424489, -0.12708834375910186, -0.005532304980550651, 0.08579256194126275] |
709.0468 | High-j single-particle neutron states outside the N=82 core | The behaviour of the i13/2 and h9/2 single-neutron strength was studied with
the (4He,3He) reaction on 138Ba, 140Ce, 142Nd and 144Sm targets at a beam
energy of 51 MeV. The separation between the single-neutron states i13/2 and
h9/2 was measured in N =83 nuclei with changing proton number. To this end
spectroscopic factors for states populated in high-l transfer were extracted
from the data. Some mixing of l=5 and 6 strength was observed with states that
are formed by coupling the f7/2 state to the 2+ and 3- vibrational states and
the mixing matrix elements were found to be remarkably constant. The centroids
of the strength indicate a systematic change in the energies of the i13/2 and
h9/2 single-neutron states with increasing proton number that is in
quantitative agreement with the effects expected from the tensor interaction.
| nucl-ex | the behaviour of the i132 and h92 singleneutron strength was studied with the 4he3he reaction on 138ba 140ce 142nd and 144sm targets at a beam energy of 51 mev the separation between the singleneutron states i132 and h92 was measured in n 83 nuclei with changing proton number to this end spectroscopic factors for states populated in highl transfer were extracted from the data some mixing of l5 and 6 strength was observed with states that are formed by coupling the f72 state to the 2 and 3 vibrational states and the mixing matrix elements were found to be remarkably constant the centroids of the strength indicate a systematic change in the energies of the i132 and h92 singleneutron states with increasing proton number that is in quantitative agreement with the effects expected from the tensor interaction | [['the', 'behaviour', 'of', 'the', 'i132', 'and', 'h92', 'singleneutron', 'strength', 'was', 'studied', 'with', 'the', '4he3he', 'reaction', 'on', '138ba', '140ce', '142nd', 'and', '144sm', 'targets', 'at', 'a', 'beam', 'energy', 'of', '51', 'mev', 'the', 'separation', 'between', 'the', 'singleneutron', 'states', 'i132', 'and', 'h92', 'was', 'measured', 'in', 'n', '83', 'nuclei', 'with', 'changing', 'proton', 'number', 'to', 'this', 'end', 'spectroscopic', 'factors', 'for', 'states', 'populated', 'in', 'highl', 'transfer', 'were', 'extracted', 'from', 'the', 'data', 'some', 'mixing', 'of', 'l5', 'and', '6', 'strength', 'was', 'observed', 'with', 'states', 'that', 'are', 'formed', 'by', 'coupling', 'the', 'f72', 'state', 'to', 'the', '2', 'and', '3', 'vibrational', 'states', 'and', 'the', 'mixing', 'matrix', 'elements', 'were', 'found', 'to', 'be', 'remarkably', 'constant', 'the', 'centroids', 'of', 'the', 'strength', 'indicate', 'a', 'systematic', 'change', 'in', 'the', 'energies', 'of', 'the', 'i132', 'and', 'h92', 'singleneutron', 'states', 'with', 'increasing', 'proton', 'number', 'that', 'is', 'in', 'quantitative', 'agreement', 'with', 'the', 'effects', 'expected', 'from', 'the', 'tensor', 'interaction']] | [-0.07559729488668487, 0.24758235185006022, -0.034303689078320786, 0.047553185291968995, 0.05711592585727892, -0.10319570908373915, 0.06358864605698707, 0.35086017107441475, -0.18455136463855032, -0.36943178622385175, -0.01214768001333858, -0.3460515392366389, -0.0177483851800462, 0.13484768640168393, 0.07042583226341836, 0.03885603340924293, 0.06682851136641672, 0.0255428556026551, -0.05638996431821563, -0.15374438308288146, 0.2984419108375254, 0.08868593244684221, 0.2558596531221521, 0.08760861044980749, 0.03248096003118957, -0.007772634487368003, 0.025249148596649187, -0.028240231593159863, -0.09637054491562541, 0.087375061677847, 0.233454867371912, 0.051621507511671334, 0.16762829838442977, -0.37451749144081214, -0.146327031783107, 0.061818092092735706, 0.11127724719741959, 0.11870320182443209, -0.03160795111576245, -0.30492769346239357, 0.03981217094459129, -0.16790947681088952, -0.13082618242211258, -0.03533535340399801, 0.062198067022773036, 0.05454240840975277, -0.2736208984478764, 0.08011987037875139, -0.0487942859771777, 0.07898765889397502, -0.09847048001472641, -0.21580176884444416, -0.07103748585226653, 0.10735274549152185, 0.040166847270158845, 0.055120725875735674, 0.13432562680248797, -0.09085159156858975, -0.06855313052307732, 0.3339254335792613, -0.05755679517726067, -0.1061559087387796, 0.15410147038760874, -0.17262522717869846, -0.09997045854446444, 0.17323792221391723, 0.10541866701538165, 0.07675583493436115, -0.0867996966384732, 0.025196602911752967, 0.015171198888144789, 0.20672037111200992, 0.09707384754013079, 0.034297060175919075, 0.12147776312262744, 0.12250141606302456, -0.029280142498331784, 0.09420953198917292, -0.16583293077304795, -0.060891734164235364, -0.24029611047173777, -0.08960981610108738, -0.1581552808621667, 0.057906123430529324, -0.03453244424153571, -0.05988113148763341, 0.3759505113410036, 0.03431676994723669, 0.24262314488011733, -0.004866348489452779, 0.21136124755670554, 0.06649587011087114, 0.07811233966380195, 0.056760160993431175, 0.3494392524103304, 0.19738911317124364, 0.08760777099676648, -0.28269942788012925, 0.07267838374908714, -0.020821510260095343] |
709.0469 | Decoherence bypass of macroscopic superpositions in quantum measurement | We study a class of quantum measurement models. A microscopic object is
entangled with a macroscopic pointer such that a distinct pointer position is
tied to each eigenvalue of the measured object observable. Those different
pointer positions mutually decohere under the influence of an environment.
Overcoming limitations of previous approaches we (i) cope with initial
correlations between pointer and environment by considering them initially in a
metastable local thermal equilibrium, (ii) allow for object-pointer
entanglement and environment-induced decoherence of distinct pointer readouts
to proceed simultaneously, such that mixtures of macroscopically distinct
object-pointer product states arise without intervening macroscopic
superpositions, and (iii) go beyond the Markovian treatment of decoherence.
| quant-ph | we study a class of quantum measurement models a microscopic object is entangled with a macroscopic pointer such that a distinct pointer position is tied to each eigenvalue of the measured object observable those different pointer positions mutually decohere under the influence of an environment overcoming limitations of previous approaches we i cope with initial correlations between pointer and environment by considering them initially in a metastable local thermal equilibrium ii allow for objectpointer entanglement and environmentinduced decoherence of distinct pointer readouts to proceed simultaneously such that mixtures of macroscopically distinct objectpointer product states arise without intervening macroscopic superpositions and iii go beyond the markovian treatment of decoherence | [['we', 'study', 'a', 'class', 'of', 'quantum', 'measurement', 'models', 'a', 'microscopic', 'object', 'is', 'entangled', 'with', 'a', 'macroscopic', 'pointer', 'such', 'that', 'a', 'distinct', 'pointer', 'position', 'is', 'tied', 'to', 'each', 'eigenvalue', 'of', 'the', 'measured', 'object', 'observable', 'those', 'different', 'pointer', 'positions', 'mutually', 'decohere', 'under', 'the', 'influence', 'of', 'an', 'environment', 'overcoming', 'limitations', 'of', 'previous', 'approaches', 'we', 'i', 'cope', 'with', 'initial', 'correlations', 'between', 'pointer', 'and', 'environment', 'by', 'considering', 'them', 'initially', 'in', 'a', 'metastable', 'local', 'thermal', 'equilibrium', 'ii', 'allow', 'for', 'objectpointer', 'entanglement', 'and', 'environmentinduced', 'decoherence', 'of', 'distinct', 'pointer', 'readouts', 'to', 'proceed', 'simultaneously', 'such', 'that', 'mixtures', 'of', 'macroscopically', 'distinct', 'objectpointer', 'product', 'states', 'arise', 'without', 'intervening', 'macroscopic', 'superpositions', 'and', 'iii', 'go', 'beyond', 'the', 'markovian', 'treatment', 'of', 'decoherence']] | [-0.13015328747591143, 0.24056231979557197, -0.0852677652405368, 0.048475153716194826, 0.004769803507736436, -0.2476755815765096, 0.0386680168923232, 0.3607621524758913, -0.2890174570320933, -0.2608881574727733, 0.00031834213964261664, -0.2739938278854997, -0.04416330790371393, 0.10474597444516365, -0.03853049467283266, 0.07482863945403585, 0.09232130215968937, -0.0017336399091787084, -0.0487437053816393, -0.1576346731335097, 0.3529445014902632, 0.003739896397477154, 0.2545505274535605, -0.0449286637492521, 0.120753300113763, 0.006187337860292582, 0.015388549115784743, 0.06322274204447037, -0.07415458952851219, 0.05815295573308874, 0.24866102266932338, 0.17255888952166532, 0.28202307763233503, -0.4861112206622406, -0.15505563310068315, 0.13151948704358396, 0.08809596275117386, 0.21071077112315428, 0.04088159555491681, -0.36983699485211186, -0.03640689327450538, -0.18341883021855243, -0.13950470462872613, -0.06543323746666795, 0.036165329024057696, -0.008417075588281645, -0.2248635329219892, 0.10874495793271947, 0.08877830562199017, 0.034741710492030335, -0.0665049310989195, -0.05963004629571784, 0.014420755104058318, 0.14870571761922394, -0.023159675386893838, -0.05771702838818008, 0.22328668273284738, -0.13914488202512817, -0.16147095021895236, 0.3206782679103694, -0.030578684206206904, -0.20574298353770887, 0.26425927009916417, -0.1110678553684718, -0.11530356842127663, 0.09249794857330723, 0.09970367911564945, 0.09449831687595213, -0.14918246458250065, 0.0030013709226666295, -0.009177892639180991, 0.15240042209754595, 0.08454902129058071, 0.16954027138719405, 0.24225207345767152, 0.10716251109584442, 0.06366988142986817, 0.16095618558055894, -0.07713348883946848, -0.16018177760351035, -0.3189605049642355, -0.1588367248531776, -0.21145691962360783, 0.10741912043239507, -0.07350986759586332, -0.1647966508279313, 0.3698248315895735, 0.1654062976034496, 0.20090917729841615, 0.010599338475407826, 0.27188655195317957, 0.06035637801202635, 0.01842745485784555, 0.017719937557423557, 0.23064095415099506, 0.10824787694986703, 0.030050949409121164, -0.287480042376383, 0.1409405817351028, -0.024071871438839782] |
709.047 | Hidden Dirac Monopoles | Dirac showed that the existence of one magnetic pole in the universe could
offer an explanation of the discrete nature of the electric charge. Magnetic
poles appear naturally in most grand unified theories. Their discovery would be
of greatest importance for particle physics and cosmology. The intense
experimental search carried thus far has not met with success. I proposed a
universe with magnetic poles which are not observed free because they hide in
deeply bound monopole--anti-monopole states named monopolium. I discuss the
realization of this proposal and its consistency with known cosmological
features. I furthermore analyze its implications and the experimental
signatures that confirm the scenario.
| astro-ph | dirac showed that the existence of one magnetic pole in the universe could offer an explanation of the discrete nature of the electric charge magnetic poles appear naturally in most grand unified theories their discovery would be of greatest importance for particle physics and cosmology the intense experimental search carried thus far has not met with success i proposed a universe with magnetic poles which are not observed free because they hide in deeply bound monopoleantimonopole states named monopolium i discuss the realization of this proposal and its consistency with known cosmological features i furthermore analyze its implications and the experimental signatures that confirm the scenario | [['dirac', 'showed', 'that', 'the', 'existence', 'of', 'one', 'magnetic', 'pole', 'in', 'the', 'universe', 'could', 'offer', 'an', 'explanation', 'of', 'the', 'discrete', 'nature', 'of', 'the', 'electric', 'charge', 'magnetic', 'poles', 'appear', 'naturally', 'in', 'most', 'grand', 'unified', 'theories', 'their', 'discovery', 'would', 'be', 'of', 'greatest', 'importance', 'for', 'particle', 'physics', 'and', 'cosmology', 'the', 'intense', 'experimental', 'search', 'carried', 'thus', 'far', 'has', 'not', 'met', 'with', 'success', 'i', 'proposed', 'a', 'universe', 'with', 'magnetic', 'poles', 'which', 'are', 'not', 'observed', 'free', 'because', 'they', 'hide', 'in', 'deeply', 'bound', 'monopoleantimonopole', 'states', 'named', 'monopolium', 'i', 'discuss', 'the', 'realization', 'of', 'this', 'proposal', 'and', 'its', 'consistency', 'with', 'known', 'cosmological', 'features', 'i', 'furthermore', 'analyze', 'its', 'implications', 'and', 'the', 'experimental', 'signatures', 'that', 'confirm', 'the', 'scenario']] | [-0.1377153369369653, 0.14349938247406105, -0.10309185733017072, 0.12198762401371738, -0.10279121755112736, -0.1385944363757757, 0.03349397917506548, 0.3272692528575272, -0.19793355411889454, -0.32713233886444765, 0.07575945374333488, -0.22944506288523664, -0.1368337948543002, 0.1528485427678668, -0.003709534771810725, -0.018585117274614156, 0.022953085189483146, 0.04251311215097612, -0.020579702089066215, -0.2417042886724098, 0.27983738989393525, 0.08934281397400037, 0.25940866717840283, 0.09427524957847606, 0.050261408345387226, -0.06073836660899995, -0.020834457608629547, -0.009379719375228544, -0.10516368847778002, 0.07472098837244184, 0.22819085878689052, 0.14716371856981292, 0.22637331593377552, -0.43992383802696217, -0.21189048002586033, 0.1314651038385664, 0.1767999407108258, 0.09797711317089193, -0.13361898517095536, -0.29481550109273985, 0.06894080895262789, -0.13932354987449594, -0.18374830278357104, -0.08995838522173043, -0.000614820355725176, -0.035249261774193005, -0.21405283951218118, 0.0463539810240585, 0.03804210486452816, 0.014978050983528484, -0.09536032463459052, -0.13559847951532816, -0.02122830349143665, 0.05359111617776161, 0.10991524231404874, 0.02739675483613644, 0.13598781492438097, -0.18794139871980012, -0.17917637923240382, 0.3883333120496179, -0.026852127037204382, -0.13083042955149035, 0.21047126000114488, -0.20043665407234276, -0.16977514703055177, 0.10984455490537551, 0.08149446378888141, 0.0822120710662654, -0.13206463369083996, 0.0977294302950745, -0.03808692691601672, 0.09736864869746398, 0.034547381660953724, 0.11234241345115357, 0.33941832103959796, 0.13493309102355028, 0.00033224668828243356, 0.06659558438146838, -0.09784452458772203, -0.1051064394853728, -0.34311220229972367, -0.1465461464573515, -0.17917857526467657, 0.028721180826014804, -0.029045632758802724, -0.15606622795029632, 0.384740598227407, 0.18552974350574725, 0.1974867661088213, -0.03499839903966893, 0.24056879727099584, 0.06615959545531538, 0.06947231784414605, 0.06334503080238993, 0.31672938704218295, 0.11403388787886866, 0.11368840353954408, -0.23218660538067232, 0.055475265796423694, 0.01743047414698972] |
709.0471 | Space-time filling branes in non critical (super) string theories | We consider solutions of (super) gravities associated to non-critical (super)
string theories in arbitrary space-time dimension D=p+3, that describe
generically non extremal black p-branes charged under NSNS or RR gauge fields,
embedded in some non critical vacuum. In the case of vacuum (uncharged)
backgrounds, we solve completely the problem obtaining all the possible
solutions, that consist of the (p+1)-dimensional Minkowski space times a linear
dilaton times a S^1, and a three parameter family of solutions that include
(p+1)-dimensional Minkowski space times the cigar, and its T-dual
(p+1)-dimensional Minkowski space times the trumpet. For NSNS charged
solutions, we also solve in closed form the problem, obtaining several families
of solutions, that include in particular the fundamental non-critical string
solution embedded in the cigar vacuum, recently found in hep-th/0604202, a
solution that we interpret as a fundamental non-critical string embedded in the
linear dilaton vacuum, and a two-parameter family of regular curvature
solutions asymptotic to AdS_{1,2}\times S^1. In the case of RR charged
Dp-branes solutions, an ansatz allows us to find a non conformal, constant
curvature, asymptotically AdS_{1,p+1} space, T-dual to AdS_{1,p+2}, together
with a two-parameter family of solutions that includes the non conformal, AdS
black hole like solution associated with the earlier space. The solutions
obtained by T-duality are Einstein spaces consisting of a two-parameter family
of conformal, constant dilaton solutions, that include, in particular, the AdS
black hole of hep-th/0403254. We speculate about the possible applications of
some of them in the framework of the gauge-gravity correspondence.
| hep-th | we consider solutions of super gravities associated to noncritical super string theories in arbitrary spacetime dimension dp3 that describe generically non extremal black pbranes charged under nsns or rr gauge fields embedded in some non critical vacuum in the case of vacuum uncharged backgrounds we solve completely the problem obtaining all the possible solutions that consist of the p1dimensional minkowski space times a linear dilaton times a s1 and a three parameter family of solutions that include p1dimensional minkowski space times the cigar and its tdual p1dimensional minkowski space times the trumpet for nsns charged solutions we also solve in closed form the problem obtaining several families of solutions that include in particular the fundamental noncritical string solution embedded in the cigar vacuum recently found in hepth0604202 a solution that we interpret as a fundamental noncritical string embedded in the linear dilaton vacuum and a twoparameter family of regular curvature solutions asymptotic to ads_12times s1 in the case of rr charged dpbranes solutions an ansatz allows us to find a non conformal constant curvature asymptotically ads_1p1 space tdual to ads_1p2 together with a twoparameter family of solutions that includes the non conformal ads black hole like solution associated with the earlier space the solutions obtained by tduality are einstein spaces consisting of a twoparameter family of conformal constant dilaton solutions that include in particular the ads black hole of hepth0403254 we speculate about the possible applications of some of them in the framework of the gaugegravity correspondence | [['we', 'consider', 'solutions', 'of', 'super', 'gravities', 'associated', 'to', 'noncritical', 'super', 'string', 'theories', 'in', 'arbitrary', 'spacetime', 'dimension', 'dp3', 'that', 'describe', 'generically', 'non', 'extremal', 'black', 'pbranes', 'charged', 'under', 'nsns', 'or', 'rr', 'gauge', 'fields', 'embedded', 'in', 'some', 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709.0472 | Extended N=1 super Yang-Mills theory | We solve a generalization of ordinary N=1 super Yang-Mills theory with gauge
group U(N) and an adjoint chiral multiplet X for which we turn on both an
arbitrary tree-level superpotential term \int d^{2}\theta Tr W(X) and an
arbitrary field-dependent gauge kinetic term \int d^{2}\theta Tr
V(X)W^{\alpha}W_{\alpha}. When W=0, the model reduces to the extended
Seiberg-Witten theory recently studied by Marshakov and Nekrasov. We use two
different points of view: a ''macroscopic'' approach, using generalized anomaly
equations, the Dijkgraaf-Vafa matrix model and the glueball superpotential; and
the recently proposed ''microscopic'' approach, using Nekrasov's sum over
colored partitions and the quantum microscopic superpotential. The two
formalisms are based on completely different sets of variables and statistical
ensembles. Yet it is shown that they yield precisely the same gauge theory
correlators. This beautiful mathematical equivalence is a facet of the
open/closed string duality. A full microscopic derivation of the
non-perturbative N=1 gauge dynamics follows.
| hep-th | we solve a generalization of ordinary n1 super yangmills theory with gauge group un and an adjoint chiral multiplet x for which we turn on both an arbitrary treelevel superpotential term int d2theta tr wx and an arbitrary fielddependent gauge kinetic term int d2theta tr vxwalphaw_alpha when w0 the model reduces to the extended seibergwitten theory recently studied by marshakov and nekrasov we use two different points of view a macroscopic approach using generalized anomaly equations the dijkgraafvafa matrix model and the glueball superpotential and the recently proposed microscopic approach using nekrasovs sum over colored partitions and the quantum microscopic superpotential the two formalisms are based on completely different sets of variables and statistical ensembles yet it is shown that they yield precisely the same gauge theory correlators this beautiful mathematical equivalence is a facet of the openclosed string duality a full microscopic derivation of the nonperturbative n1 gauge dynamics follows | [['we', 'solve', 'a', 'generalization', 'of', 'ordinary', 'n1', 'super', 'yangmills', 'theory', 'with', 'gauge', 'group', 'un', 'and', 'an', 'adjoint', 'chiral', 'multiplet', 'x', 'for', 'which', 'we', 'turn', 'on', 'both', 'an', 'arbitrary', 'treelevel', 'superpotential', 'term', 'int', 'd2theta', 'tr', 'wx', 'and', 'an', 'arbitrary', 'fielddependent', 'gauge', 'kinetic', 'term', 'int', 'd2theta', 'tr', 'vxwalphaw_alpha', 'when', 'w0', 'the', 'model', 'reduces', 'to', 'the', 'extended', 'seibergwitten', 'theory', 'recently', 'studied', 'by', 'marshakov', 'and', 'nekrasov', 'we', 'use', 'two', 'different', 'points', 'of', 'view', 'a', 'macroscopic', 'approach', 'using', 'generalized', 'anomaly', 'equations', 'the', 'dijkgraafvafa', 'matrix', 'model', 'and', 'the', 'glueball', 'superpotential', 'and', 'the', 'recently', 'proposed', 'microscopic', 'approach', 'using', 'nekrasovs', 'sum', 'over', 'colored', 'partitions', 'and', 'the', 'quantum', 'microscopic', 'superpotential', 'the', 'two', 'formalisms', 'are', 'based', 'on', 'completely', 'different', 'sets', 'of', 'variables', 'and', 'statistical', 'ensembles', 'yet', 'it', 'is', 'shown', 'that', 'they', 'yield', 'precisely', 'the', 'same', 'gauge', 'theory', 'correlators', 'this', 'beautiful', 'mathematical', 'equivalence', 'is', 'a', 'facet', 'of', 'the', 'openclosed', 'string', 'duality', 'a', 'full', 'microscopic', 'derivation', 'of', 'the', 'nonperturbative', 'n1', 'gauge', 'dynamics', 'follows']] | [-0.12447111441224788, 0.16549457181322302, -0.12926729358091227, 0.1257860647668099, -0.08066109522898383, -0.1701968342927443, -0.002571821680013724, 0.2902167538857265, -0.22611038272148695, -0.25573422589662426, 0.022692286924199282, -0.26206701308279773, -0.22269328951607553, 0.06536410682752324, -0.0401102898477697, 0.0579380193663061, -0.026009562536187116, 0.058251336014189685, -0.11173839383635062, -0.2782158961988428, 0.31892122305948667, -0.018907495319754594, 0.28957476402271765, 0.04609641250615724, 0.17098318611201987, 0.033245560131035745, -0.015114879881849095, 0.0008663244444091304, -0.10585414868056636, 0.11544240814266207, 0.20173898281935018, 0.06684450371203576, 0.11746151400666659, -0.4341327735495304, -0.19899537280949503, 0.07751391265465289, 0.14875396200040747, 0.1079365081275769, 0.024473926782620704, -0.28713779332318984, 0.04833081993116003, -0.18592459439984238, -0.12635026802784022, -0.1133822681146993, 0.012998964114836892, -0.09698833411774871, -0.2891525615348804, 0.034683254056413766, 0.005063581251900415, 0.06468529995504314, -0.01969071281567013, -0.13388955410645934, -0.05976410903872884, 0.051961378646788, 0.0744608685843089, 0.0920610370995084, 0.0907888086766106, -0.16951041750223408, -0.12872736417485692, 0.3516075543324355, -0.06032275795131972, -0.2525121822674461, 0.1336155355382128, -0.08570131776398238, -0.1942582831553304, 0.09079197701541897, 0.040534221674917506, 0.16206531331171187, -0.17169862287326915, 0.2388484782391215, -0.08399109588619195, 0.1268775750032379, 0.09768829425657485, 0.015771468942921585, 0.21538096730641665, 0.0667293809439835, 0.008322935132468182, 0.09095141077675495, 0.017223163115076063, -0.17314152855688997, -0.4121230286957861, -0.12498959908689543, -0.14603467398088704, 0.11986308411828109, -0.14067479581534498, -0.15209128699470534, 0.3673947881273672, 0.10220340552813449, 0.13963940572690497, 0.09625503347416846, 0.19959311038065625, 0.1595569350835899, 0.05193615879991795, 0.0029589835012673723, 0.17224215950696495, 0.22717443713126387, 0.08276778735698764, -0.25140426382279896, -0.13313105042238219, 0.24415321927517653] |
709.0473 | Resolving the Multiple Outflows in the Egg Nebula with Keck II Laser
Guide Star Adaptive Optics | The Egg Nebula has been regarded as the archetype of bipolar proto-planetary
nebulae, yet we lack a coherent model that can explain the morphology and
kinematics of the nebular and dusty components observed at high-spatial and
spectral resolution. Here, we report on two sets of observations obtained with
the Keck Adaptive Optics Laser Guide Star: H to M-band NIRC2 imaging, and
narrow bandpath K-band OSIRIS 3-D imaging-spectroscopy (through the H2
2.121micron emission line). While the central star or engine remains
un-detected at all bands, we clearly resolve the dusty components in the
central region and confirm that peak A is not a companion star. The
spatially-resolved spectral analysis provide kinematic information of the H_2
emission regions in the eastern and central parts of the nebula and show
projected velocities for the H_2 emission higher than 100 km/s. We discuss
these observations against a possible formation scenario for the nebular
components.
| astro-ph | the egg nebula has been regarded as the archetype of bipolar protoplanetary nebulae yet we lack a coherent model that can explain the morphology and kinematics of the nebular and dusty components observed at highspatial and spectral resolution here we report on two sets of observations obtained with the keck adaptive optics laser guide star h to mband nirc2 imaging and narrow bandpath kband osiris 3d imagingspectroscopy through the h2 2121micron emission line while the central star or engine remains undetected at all bands we clearly resolve the dusty components in the central region and confirm that peak a is not a companion star the spatiallyresolved spectral analysis provide kinematic information of the h_2 emission regions in the eastern and central parts of the nebula and show projected velocities for the h_2 emission higher than 100 kms we discuss these observations against a possible formation scenario for the nebular components | [['the', 'egg', 'nebula', 'has', 'been', 'regarded', 'as', 'the', 'archetype', 'of', 'bipolar', 'protoplanetary', 'nebulae', 'yet', 'we', 'lack', 'a', 'coherent', 'model', 'that', 'can', 'explain', 'the', 'morphology', 'and', 'kinematics', 'of', 'the', 'nebular', 'and', 'dusty', 'components', 'observed', 'at', 'highspatial', 'and', 'spectral', 'resolution', 'here', 'we', 'report', 'on', 'two', 'sets', 'of', 'observations', 'obtained', 'with', 'the', 'keck', 'adaptive', 'optics', 'laser', 'guide', 'star', 'h', 'to', 'mband', 'nirc2', 'imaging', 'and', 'narrow', 'bandpath', 'kband', 'osiris', '3d', 'imagingspectroscopy', 'through', 'the', 'h2', '2121micron', 'emission', 'line', 'while', 'the', 'central', 'star', 'or', 'engine', 'remains', 'undetected', 'at', 'all', 'bands', 'we', 'clearly', 'resolve', 'the', 'dusty', 'components', 'in', 'the', 'central', 'region', 'and', 'confirm', 'that', 'peak', 'a', 'is', 'not', 'a', 'companion', 'star', 'the', 'spatiallyresolved', 'spectral', 'analysis', 'provide', 'kinematic', 'information', 'of', 'the', 'h_2', 'emission', 'regions', 'in', 'the', 'eastern', 'and', 'central', 'parts', 'of', 'the', 'nebula', 'and', 'show', 'projected', 'velocities', 'for', 'the', 'h_2', 'emission', 'higher', 'than', '100', 'kms', 'we', 'discuss', 'these', 'observations', 'against', 'a', 'possible', 'formation', 'scenario', 'for', 'the', 'nebular', 'components']] | [-0.04205267456308246, 0.029079437075336965, -0.06155808232693203, 0.053942369536270164, -0.09567027603200562, -0.08928219976558073, -0.0047559754410129345, 0.48950869856855356, -0.16380105019748412, -0.3009096746225967, 0.09671805200412416, -0.2524645856166309, -0.02691193367826526, 0.16808364069328416, -0.02145891903205051, -0.06283132171075842, 0.11277719020742823, -0.11360067786862035, -0.0060464169313294205, -0.15384880819427152, 0.29688240613511485, 0.07966786052566022, 0.14611781044624042, 0.0284505812482707, 0.08861415348380704, -0.10868643782875576, -0.08975452211735821, -0.035411441585401424, -0.15949726451829002, 0.07607116430016184, 0.22516264577673092, 0.13955663346112832, 0.19390687542791302, -0.36142964857454235, -0.23597479425449353, 0.018935371413701087, 0.23482535478074537, 0.006453536383216144, -0.0322744179921338, -0.2811520302139625, 0.04376090390173517, -0.1600033640389557, -0.18510645595567957, 0.07221172513311251, 0.032478647633782914, -0.004935686969327288, -0.23598395755225038, 0.09414066591872708, 0.014183345976807931, 0.13503272582248255, -0.12316391612969439, -0.09514179366099573, -0.08155848270414297, 0.06763568557201054, -0.0669353456209678, 0.04048872658451138, 0.1799506959757088, -0.16898779470410946, -0.0518562127804585, 0.39764028627777825, -0.06363264443653689, 0.00908258287676585, 0.27563874179503656, -0.26955890410966743, -0.1933066799632601, 0.20044067073802188, 0.10378236615577259, 0.11373367969802506, -0.11664269194384483, -0.01851203869454047, -0.05222698647491131, 0.21479911067227303, 0.049275308803378326, 0.09913123335777405, 0.334593444587537, 0.0920365454780089, 0.004401864649382234, 0.13381759200647875, -0.3256640914698584, -0.028169453393029224, -0.24536084782684575, -0.13460561186641556, -0.1272903283518374, 0.041370255274110555, -0.10165435126032822, -0.0835357743466424, 0.3523754153174122, 0.09654182560100437, 0.2182367045551891, -0.01488866563807745, 0.339448049076128, 0.08729456240119338, 0.09662921640493378, 0.10687668658667118, 0.31485557940165587, 0.19061110745580565, 0.12217608828733147, -0.2624515425067747, 0.05023805816292863, -0.0018729673308395857] |
709.0474 | Disordered Systems, Spanning Trees and SLE | We define a minimization problem for paths on planar graphs that, on the
honeycomb lattice, is equivalent to the exploration path of the critical site
percolation and than has the same scaling limit of SLE_6. We numerically study
this model (testing several SLE properties on other lattices and with different
boundary conditions) and state it in terms of spanning trees. This statement of
the problem allows the definition of a random growth process for trees on two
dimensional graphs such that SLE is recovered as a special choice of boundary
conditions.
| math-ph math.MP | we define a minimization problem for paths on planar graphs that on the honeycomb lattice is equivalent to the exploration path of the critical site percolation and than has the same scaling limit of sle_6 we numerically study this model testing several sle properties on other lattices and with different boundary conditions and state it in terms of spanning trees this statement of the problem allows the definition of a random growth process for trees on two dimensional graphs such that sle is recovered as a special choice of boundary conditions | [['we', 'define', 'a', 'minimization', 'problem', 'for', 'paths', 'on', 'planar', 'graphs', 'that', 'on', 'the', 'honeycomb', 'lattice', 'is', 'equivalent', 'to', 'the', 'exploration', 'path', 'of', 'the', 'critical', 'site', 'percolation', 'and', 'than', 'has', 'the', 'same', 'scaling', 'limit', 'of', 'sle_6', 'we', 'numerically', 'study', 'this', 'model', 'testing', 'several', 'sle', 'properties', 'on', 'other', 'lattices', 'and', 'with', 'different', 'boundary', 'conditions', 'and', 'state', 'it', 'in', 'terms', 'of', 'spanning', 'trees', 'this', 'statement', 'of', 'the', 'problem', 'allows', 'the', 'definition', 'of', 'a', 'random', 'growth', 'process', 'for', 'trees', 'on', 'two', 'dimensional', 'graphs', 'such', 'that', 'sle', 'is', 'recovered', 'as', 'a', 'special', 'choice', 'of', 'boundary', 'conditions']] | [-0.12391774868080904, 0.13551750288928274, -0.07096965157600878, 0.055914065814139685, -0.0639869172361444, -0.11527859196987944, 0.07536731746334296, 0.40165848546446514, -0.2629174442634314, -0.24406658977290596, 0.16031325078738218, -0.26272647779266695, -0.14986282617754335, 0.19887226434926, -0.035381121755383174, 0.09151502902322746, 0.09649445520007757, 0.05060488731692453, -0.04159291842338312, -0.25250129961500783, 0.3533913997849635, -0.007038503675465728, 0.2797152763437275, 0.06435303951378216, 0.10400281169011698, 0.0605413754327366, 0.05186478415463161, 0.07730687617907649, -0.23177171216149953, 0.09306249827412623, 0.17119865864899092, 0.09088968768060862, 0.21488107165710613, -0.38860143213481696, -0.22162969785507072, 0.13384321974692764, 0.1129346090870408, 0.09406709681254821, 0.04188188737524407, -0.21396277380267997, 0.06179035664791917, -0.08336687073684655, -0.1329521345138386, 0.014120983834900371, 0.026801753901763932, -0.01183581571184242, -0.26826136933823863, 0.021241273521189832, 0.08863180305982767, 0.06881619212064115, -0.04893638340533701, -0.08968368104075665, -0.026992180599616125, 0.12547325845910134, -0.002858637347574356, 0.027753019482818442, 0.06275694267721948, -0.12925757124489443, -0.1773097299264519, 0.40660065911955884, -0.009959460746088823, -0.21379368060401507, 0.22597283635615975, -0.1295823594759945, -0.18616922611401385, 0.05400985388141535, 0.14336247493482226, 0.1392042596752827, -0.15236920807101242, 0.10823521288533972, -0.09326748861253241, 0.08603635710756202, 0.10030472872185182, -0.011185602039344364, 0.1380957321614535, 0.20232590676316028, 0.1494950787624815, 0.21710196505415838, -0.0181873145789563, -0.12304481618351988, -0.2779434454719444, -0.1576329384019578, -0.20419018885509654, 0.06140563574333031, -0.20588691050015967, -0.2539594905543049, 0.3903830217218006, 0.17520784891842464, 0.19515120289749005, 0.11499134623087369, 0.19648099082501624, 0.13177031244709064, 0.03182297386229038, 0.056018788211436556, 0.13238263162809863, 0.15357146985255754, 0.041020352250108354, -0.17441515078010794, 0.06530132328907212, 0.14346096916431253] |
709.0475 | Exact Green's functions and Bosonization of a Luttinger liquid coupled
to impedances | The exact Green's functions of a finite-size Luttinger Liquid (LL) connected
to impedances are computed at zero and finite temperature. Bosonization for a
LL with Impedance boundary conditions (IBC) is proven to hold. The LL with open
boundary conditions (for both Neumann and Dirichlet cases) is explicitly
recovered as a special limit when one has infinite impedances. Additionally
when the impedances are equal to the characteristic impedance of the Luttinger
liquid then the finite Luttinger liquid is shown to be effectively equivalent
to an infinite Luttinger liquid.
| cond-mat.mes-hall cond-mat.str-el | the exact greens functions of a finitesize luttinger liquid ll connected to impedances are computed at zero and finite temperature bosonization for a ll with impedance boundary conditions ibc is proven to hold the ll with open boundary conditions for both neumann and dirichlet cases is explicitly recovered as a special limit when one has infinite impedances additionally when the impedances are equal to the characteristic impedance of the luttinger liquid then the finite luttinger liquid is shown to be effectively equivalent to an infinite luttinger liquid | [['the', 'exact', 'greens', 'functions', 'of', 'a', 'finitesize', 'luttinger', 'liquid', 'll', 'connected', 'to', 'impedances', 'are', 'computed', 'at', 'zero', 'and', 'finite', 'temperature', 'bosonization', 'for', 'a', 'll', 'with', 'impedance', 'boundary', 'conditions', 'ibc', 'is', 'proven', 'to', 'hold', 'the', 'll', 'with', 'open', 'boundary', 'conditions', 'for', 'both', 'neumann', 'and', 'dirichlet', 'cases', 'is', 'explicitly', 'recovered', 'as', 'a', 'special', 'limit', 'when', 'one', 'has', 'infinite', 'impedances', 'additionally', 'when', 'the', 'impedances', 'are', 'equal', 'to', 'the', 'characteristic', 'impedance', 'of', 'the', 'luttinger', 'liquid', 'then', 'the', 'finite', 'luttinger', 'liquid', 'is', 'shown', 'to', 'be', 'effectively', 'equivalent', 'to', 'an', 'infinite', 'luttinger', 'liquid']] | [-0.1255950820993568, 0.21757148959471218, -0.09693123585940606, 0.057605277199629996, -0.07961830691081183, -0.28325996882464183, -0.011415318596637112, 0.3056538025554184, -0.22641285391652893, -0.16407271839100226, 0.12016906319273069, -0.3057617580587708, -0.05161357921516073, 0.19066563240070453, -0.02796043123214923, 0.10433973434204556, 0.00024162713791532763, 0.04995506034157742, -0.14046361078989916, -0.22540413955462046, 0.2973938634212332, -0.064740932846292, 0.2897476714810935, 0.13423614802331418, 0.09045881699321084, -0.008387636343798676, 0.12650912310178766, 0.09554006803618799, -0.1703519123745547, -0.054420764805567075, 0.36989004725868674, -0.1046266266754989, 0.18237527148348504, -0.44638448369143335, -0.21628510097748246, 0.05298385429784827, 0.140564424082123, 0.07025407906621695, 0.10493922474976072, -0.2746514745120858, 0.10491368560998261, -0.17964558011113568, -0.19652174014983506, -0.023217248157651603, 0.017991849686950445, -0.016076573384818674, -0.29767909304549295, 0.0717419682809248, 0.036934723199784074, 0.037538619508602836, -0.061293809792433665, -0.10790258712381467, -0.012177529680574763, 0.12470675399326238, 0.03453486587520389, -0.012466074877429283, 0.10692867859341633, -0.14222137882085195, 0.010699994005021992, 0.3234647815008701, -0.01850486911790467, -0.2822824404628455, 0.22212345892598254, -0.16405623450061713, -0.0322851266433624, 0.15341824358034795, 0.02085769636792013, 0.051216227489512885, -0.13720671314078425, 0.13421435827448236, -0.05605788079047597, 0.13900154998831066, 0.08783165822554936, -0.04434553524158124, 0.18605286991973033, 0.1352951891195757, 0.09516122566145342, 0.18278878998819567, -0.06378649786949672, -0.041793314922044335, -0.3572496077067208, -0.15185552660841495, -0.2509618613162431, 0.08635439487152743, -0.08803409411827498, -0.2572666942366083, 0.3579126539072771, 0.08544485459382507, 0.14323158472797823, 0.10602555064559412, 0.28353506450851756, 0.21126299576924837, 0.023151571463643647, 0.06548835374093775, 0.15516135814845905, 0.20957709086694937, 0.019191870647857243, -0.2945320212614091, 0.007455820624513188, 0.12290831845810359] |
709.0476 | Eikonal but not: a complementary view of high energy evolution | The high energy evolution equations that describe the evolution of hadronic
amplitudes with energy are derived assuming eikonal interaction of the evolved
hadronic wave function with the target. In this note we remark that this
derivation allows a different interpretation, whereby the hadronic wave
function is not evolved, but instead the evolution acts on the S - matrix
operator. In this approach, analogous to the Heisenberg picture of Quantum
mechanics, the scattering is not eikonal and additional boost provides for
radiation of more gluons in the final state.
| hep-ph | the high energy evolution equations that describe the evolution of hadronic amplitudes with energy are derived assuming eikonal interaction of the evolved hadronic wave function with the target in this note we remark that this derivation allows a different interpretation whereby the hadronic wave function is not evolved but instead the evolution acts on the s matrix operator in this approach analogous to the heisenberg picture of quantum mechanics the scattering is not eikonal and additional boost provides for radiation of more gluons in the final state | [['the', 'high', 'energy', 'evolution', 'equations', 'that', 'describe', 'the', 'evolution', 'of', 'hadronic', 'amplitudes', 'with', 'energy', 'are', 'derived', 'assuming', 'eikonal', 'interaction', 'of', 'the', 'evolved', 'hadronic', 'wave', 'function', 'with', 'the', 'target', 'in', 'this', 'note', 'we', 'remark', 'that', 'this', 'derivation', 'allows', 'a', 'different', 'interpretation', 'whereby', 'the', 'hadronic', 'wave', 'function', 'is', 'not', 'evolved', 'but', 'instead', 'the', 'evolution', 'acts', 'on', 'the', 's', 'matrix', 'operator', 'in', 'this', 'approach', 'analogous', 'to', 'the', 'heisenberg', 'picture', 'of', 'quantum', 'mechanics', 'the', 'scattering', 'is', 'not', 'eikonal', 'and', 'additional', 'boost', 'provides', 'for', 'radiation', 'of', 'more', 'gluons', 'in', 'the', 'final', 'state']] | [-0.11028781805278455, 0.18888309333559083, -0.16250717396922837, 0.10988113919845728, -0.09131955548093237, -0.0585168839817674, -0.023684082658501106, 0.33375731979807216, -0.22738187824343814, -0.262218550960908, -0.010664191323161211, -0.2578643782670816, -0.112779025015175, 0.11152479874141429, 0.03761803334172087, 0.0304486141700683, 0.09208706734520009, 0.057111774019939804, -0.10860921102897103, -0.16486653421159791, 0.3728422771968033, 0.06060375781574597, 0.2233791214938479, 0.07128336868682426, 0.09052839929816024, 0.07239813039122128, -0.03067776642140301, -0.06116184168334665, -0.09205224528596281, 0.08393993302269828, 0.22367383424131115, 0.12291868511940642, 0.17754145026549525, -0.434899493923475, -0.22207504965835947, 0.07955874599537802, 0.16378496521441588, 0.14001876712059494, -0.010210497550507097, -0.24168640035793357, 0.028739544434537148, -0.205741627013375, -0.18865462786507334, -0.032835851292307865, 0.01065852600096286, -0.015488956238667684, -0.24497754999233046, 0.08919199492150767, 0.06508437559361858, -0.035285794454487575, -0.0923606021384623, -0.11586928641123848, -0.017092519685968584, 0.07083172057808816, 0.03687149867410076, 0.08125979045470214, 0.12060035067749605, -0.1473039726207525, -0.06848151894050768, 0.3824737884891059, -0.06053761771114693, -0.233289558504676, 0.16426696216998002, -0.18783981324141397, -0.12031744785831663, 0.15475250271031227, 0.13944337506853471, 0.08218031592303138, -0.19343638466135865, 0.09928291544636669, -0.009403838197655183, 0.15025679617263804, 0.04098956612602476, 0.07144276727922261, 0.17135518438172068, 0.1649354144438416, -0.009842334882538209, 0.10842658924045918, -0.0350227281210366, -0.12549469039786135, -0.37786904217182904, -0.14607631860450768, -0.16600546695495388, 0.12504846502721695, -0.07718537038111198, -0.17005517545702128, 0.3716912514091223, 0.13202036643700524, 0.1718243046545948, 0.01753939099973817, 0.2980573517216862, 0.1887802929435482, 0.02682602571473382, 0.09060100039424396, 0.29917730050611085, 0.15495532747336674, 0.12972633764897099, -0.26927053959519687, 0.05430078923423914, 0.0894548952600908] |
709.0477 | A practical model of convective dynamics for stellar evolution
calculations | Turbulent motions in the interior of a star play an important role in its
evolution, since they transport chemical species, thermal energy and angular
momentum. Our overall goal is to construct a practical turbulent closure model
for convective transport that can be used in a multi-dimensional stellar
evolution calculation including the effects of rotation, shear and magnetic
fields. Here, we focus on the first step of this task: capturing the well-known
transition from radiative heat transport to turbulent convection with and
without rotation, as well as the asymptotic relationship between turbulent and
radiative transport in the limit of large Rayleigh number. We extend the
closure model developed by Ogilvie (2003) and Garaud and Ogilvie (2005) to
include heat transport and compare it with experimental results of
Rayleigh-Benard convection.
| astro-ph | turbulent motions in the interior of a star play an important role in its evolution since they transport chemical species thermal energy and angular momentum our overall goal is to construct a practical turbulent closure model for convective transport that can be used in a multidimensional stellar evolution calculation including the effects of rotation shear and magnetic fields here we focus on the first step of this task capturing the wellknown transition from radiative heat transport to turbulent convection with and without rotation as well as the asymptotic relationship between turbulent and radiative transport in the limit of large rayleigh number we extend the closure model developed by ogilvie 2003 and garaud and ogilvie 2005 to include heat transport and compare it with experimental results of rayleighbenard convection | [['turbulent', 'motions', 'in', 'the', 'interior', 'of', 'a', 'star', 'play', 'an', 'important', 'role', 'in', 'its', 'evolution', 'since', 'they', 'transport', 'chemical', 'species', 'thermal', 'energy', 'and', 'angular', 'momentum', 'our', 'overall', 'goal', 'is', 'to', 'construct', 'a', 'practical', 'turbulent', 'closure', 'model', 'for', 'convective', 'transport', 'that', 'can', 'be', 'used', 'in', 'a', 'multidimensional', 'stellar', 'evolution', 'calculation', 'including', 'the', 'effects', 'of', 'rotation', 'shear', 'and', 'magnetic', 'fields', 'here', 'we', 'focus', 'on', 'the', 'first', 'step', 'of', 'this', 'task', 'capturing', 'the', 'wellknown', 'transition', 'from', 'radiative', 'heat', 'transport', 'to', 'turbulent', 'convection', 'with', 'and', 'without', 'rotation', 'as', 'well', 'as', 'the', 'asymptotic', 'relationship', 'between', 'turbulent', 'and', 'radiative', 'transport', 'in', 'the', 'limit', 'of', 'large', 'rayleigh', 'number', 'we', 'extend', 'the', 'closure', 'model', 'developed', 'by', 'ogilvie', '2003', 'and', 'garaud', 'and', 'ogilvie', '2005', 'to', 'include', 'heat', 'transport', 'and', 'compare', 'it', 'with', 'experimental', 'results', 'of', 'rayleighbenard', 'convection']] | [-0.08945572980883298, 0.16088474467608194, -0.06299989870967693, 0.06184313002086128, -0.07052089025091846, -0.03077253651281353, 0.029015096526563866, 0.3243270922685042, -0.28219015515060164, -0.3446062759248889, 0.0759316630937974, -0.21905765217525186, -0.11283978347455559, 0.2246825292786525, -0.01731614171694673, 0.07832154184097817, 0.07421330892339029, -0.05478951765689999, 0.004315068807954958, -0.1629034318621052, 0.31644300023890537, 0.09852207038420602, 0.23368711815237475, 0.05286383354541613, 0.06422537668186123, -0.075710892871939, -0.06453859256362193, 0.018434313315083273, -0.20202537193318904, 0.04387000947463093, 0.21242725911724847, 0.018950197558297077, 0.2158611244885833, -0.46101844740042, -0.28407896286807954, 0.03380649781138345, 0.15525930807689292, 0.10921943645735155, -0.053346746634815645, -0.18801705949590541, 0.004466730479180114, -0.17952871157649497, -0.08408846713791718, -0.08729537587714731, 0.04494017477190937, 0.038187031150300754, -0.2822737091992167, 0.13757806011199136, 0.09702040180491167, 0.09635341230750782, -0.09258076776222879, -0.09380335268360795, -0.10262435048207408, 0.16284088052634615, 0.06508921196655137, 0.014297484949565842, 0.1407453077590617, -0.14561506223071774, -0.053399963115225546, 0.41587975110815023, -0.09917051491356688, -0.19445220668785623, 0.20627046525623882, -0.17339036537669017, -0.08919432424227125, 0.12123562153692546, 0.19821206768938282, 0.11177052495622775, -0.11828015541777859, 0.021683122726699366, -0.05528864869302197, 0.07629673639348766, 0.034204552190203685, -0.013140701910742791, 0.2231847629227559, 0.2198658049455844, 0.01515692378688982, 0.10821095113806223, -0.16764541462362104, -0.1310126758653496, -0.26792269261477486, -0.16872312669147504, -0.14130345562443836, 0.08550601802949132, -0.06545649770771433, -0.1623697244504001, 0.3482350368713014, 0.18396320381043552, 0.1683077123516341, 0.01236590881308075, 0.31056608881408465, 0.10405643236936157, 0.024434114482573932, 0.1745844513711745, 0.2595490678213537, 0.24758217007365602, 0.18073899961382267, -0.33123695642461826, 0.060803009850133094, 0.06444173394993413] |
709.0478 | Soliton interaction with slowly varying potentials | We study the Gross-Pitaevskii equation with a slowly varying smooth
potential, $V(x) = W(hx)$. We show that up to time $\log(1/h)/h $ and errors of
size $h^2$ in $H^1$, the solution is a soliton evolving according to the
classical dynamics of a natural effective Hamiltonian, $ (\xi^2 + \sech^2 * V
(x))/2 $. This provides an improvement ($ h \to h^2 $) compared to previous
works, and is strikingly confirmed by numerical simulations.
| math.AP math-ph math.MP | we study the grosspitaevskii equation with a slowly varying smooth potential vx whx we show that up to time log1hh and errors of size h2 in h1 the solution is a soliton evolving according to the classical dynamics of a natural effective hamiltonian xi2 sech2 v x2 this provides an improvement h to h2 compared to previous works and is strikingly confirmed by numerical simulations | [['we', 'study', 'the', 'grosspitaevskii', 'equation', 'with', 'a', 'slowly', 'varying', 'smooth', 'potential', 'vx', 'whx', 'we', 'show', 'that', 'up', 'to', 'time', 'log1hh', 'and', 'errors', 'of', 'size', 'h2', 'in', 'h1', 'the', 'solution', 'is', 'a', 'soliton', 'evolving', 'according', 'to', 'the', 'classical', 'dynamics', 'of', 'a', 'natural', 'effective', 'hamiltonian', 'xi2', 'sech2', 'v', 'x2', 'this', 'provides', 'an', 'improvement', 'h', 'to', 'h2', 'compared', 'to', 'previous', 'works', 'and', 'is', 'strikingly', 'confirmed', 'by', 'numerical', 'simulations']] | [-0.13295721088070422, 0.048440165783404154, -0.08063351002601848, 0.034474962778404006, -0.04286884363682475, -0.13078414856136078, 0.017928522487636656, 0.4015725471545011, -0.2337404677818995, -0.2530304023530334, 0.044350463704176946, -0.29014616494532675, -0.10105361155001447, 0.18120047757111024, -0.023465609265258536, 0.05890538159292191, 0.05271690635345294, 0.02081301191356033, -0.08003908697719453, -0.2684899345622398, 0.268284975941242, 0.032768250501248986, 0.1547096113936277, 0.011006284796167165, 0.08097634390287567, -0.08172844478031038, 0.010849214537302032, 0.0041576898028097276, -0.21588370766096432, 0.0654190542845754, 0.17053689547174145, 0.04018396870378638, 0.28666721667104866, -0.37648267393524293, -0.2400876614265144, 0.07730651049496373, 0.18217816928518005, 0.10730137304926757, -0.04577688626886811, -0.3000761635667004, 0.08149187221533793, -0.11466824488161365, -0.21994761926907813, -0.06479804516857257, 0.11262360971886665, 0.07018329572383664, -0.32063933594326954, 0.12780939246431444, 0.022378407447831705, -0.008018767988687614, -0.08184784588047478, -0.07970470111467876, -0.05119915260002017, 0.022032751274309703, 0.054489818583533634, 0.15701765769699705, 0.10744977697322611, -0.08582183122052811, -0.04028644780191826, 0.38905956970120315, -0.17970603493813542, -0.2061324822716415, 0.18850655057758559, -0.13025263237250329, -0.06757504137931392, 0.1552177460216626, 0.10016348723002011, 0.12029514403548092, -0.11338095629707823, 0.146638510062985, -0.0217827820306411, 0.22169353321078233, 0.05285281874239445, -0.03992671597370645, 0.0840772791125346, 0.17325662057555746, 0.08144592533062678, 0.09661453410808463, -0.042125215877604205, -0.12284993338107597, -0.2763703466334846, -0.133544973374228, -0.15785674560902407, 0.12054512634131243, -0.1016550576237023, -0.10187739045795752, 0.3572814816398022, 0.11612139759654383, 0.23643233446637169, 0.05970394106407184, 0.25878986647876445, 0.1601482027908787, 0.0066050606983480975, 0.08486873820947949, 0.18348692652216414, 0.13623069960158318, 0.10491106820700224, -0.26102384891783004, -0.06439321316429414, 0.026325087615987286] |
709.0479 | Granular Fluids | The terminology granular matter refers to systems with a large number of hard
objects (grains) of mesoscopic size ranging from millimeters to meters.
Geological examples include desert sand and the rocks of a landslide. But the
scope of such systems is much broader, including powders and snow, edible
products such a seeds and salt, medical products like pills, and
extraterrestrial systems such as the surface regolith of Mars and the rings of
Saturn. The importance of a fundamental understanding for granular matter
properties can hardly be overestimated. Practical issues of current concern
range from disaster mitigation of avalanches and explosions of grain silos to
immense economic consequences within the pharmaceutical industry. In addition,
they are of academic and conceptual importance as well as examples of systems
far from equilibrium. Under many conditions of interest, granular matter flows
like a normal fluid. In the latter case such flows are accurately described by
the equations of hydrodynamics. Attention is focused here on the possibility
for a corresponding hydrodynamic description of granular flows. The tools of
nonequilibrium statistical mechanics, developed over the past fifty years for
fluids composed of atoms and molecules, are applied here to a system of grains
for a fundamental approach to both qualitative questions and practical
quantitative predictions. The nonlinear Navier-Stokes equations and expressions
for the associated transport coefficients are obtained.
| cond-mat.stat-mech cond-mat.soft | the terminology granular matter refers to systems with a large number of hard objects grains of mesoscopic size ranging from millimeters to meters geological examples include desert sand and the rocks of a landslide but the scope of such systems is much broader including powders and snow edible products such a seeds and salt medical products like pills and extraterrestrial systems such as the surface regolith of mars and the rings of saturn the importance of a fundamental understanding for granular matter properties can hardly be overestimated practical issues of current concern range from disaster mitigation of avalanches and explosions of grain silos to immense economic consequences within the pharmaceutical industry in addition they are of academic and conceptual importance as well as examples of systems far from equilibrium under many conditions of interest granular matter flows like a normal fluid in the latter case such flows are accurately described by the equations of hydrodynamics attention is focused here on the possibility for a corresponding hydrodynamic description of granular flows the tools of nonequilibrium statistical mechanics developed over the past fifty years for fluids composed of atoms and molecules are applied here to a system of grains for a fundamental approach to both qualitative questions and practical quantitative predictions the nonlinear navierstokes equations and expressions for the associated transport coefficients are obtained | [['the', 'terminology', 'granular', 'matter', 'refers', 'to', 'systems', 'with', 'a', 'large', 'number', 'of', 'hard', 'objects', 'grains', 'of', 'mesoscopic', 'size', 'ranging', 'from', 'millimeters', 'to', 'meters', 'geological', 'examples', 'include', 'desert', 'sand', 'and', 'the', 'rocks', 'of', 'a', 'landslide', 'but', 'the', 'scope', 'of', 'such', 'systems', 'is', 'much', 'broader', 'including', 'powders', 'and', 'snow', 'edible', 'products', 'such', 'a', 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709.048 | Orbital circularisation of white dwarfs and the formation of
gravitational radiation sources in star clusters containing an intermediate
mass black hole | (abbreviated) We consider how tight binaries consisting of a super-massive
black hole of mass $M=10^{3}-10^{4}M_{\odot}$ and a white dwarf can be formed
in a globular cluster. We point out that a major fraction of white dwarfs
tidally captured by the black hole may be destroyed by tidal inflation during
ongoing circularisation, and the formation of tight binaries is inhibited.
However, some stars may survive being spun up to high rotation rates. Then the
energy loss through gravitational wave emission induced by tidally excited
pulsation modes and dissipation through non linear effects may compete with the
increase of pulsation energy due to dynamic tides. The semi-major axes of these
stars can be decreased below a 'critical' value where dynamic tides are not
effective because pulsation modes retain phase coherence between successive
pericentre passages. The rate of formation of such circularising stars is
estimated assuming that they can be modelled as $n=1.5$ polytropes and that
results of the tidal theory for slow rotators can be extrapolated to fast
rotators. We estimate the total capture rate as $\sim \dot N\sim 2.5\cdot
10^{-8}M_{4}^{1.3}r_{0.1}^{-2.1}yr^{-1}$, where $M_{4}=M/10^4M_{\odot}$ and
$r_{0.1}$ is the radius of influence of the black hole in units $0.1pc$. We
find that the formation rate of tight pairs is approximately 10 times smaller
than the total capture rate. It is used to estimate the probability of
detection of gravitational waves coming from such tight binaries by LISA. We
conclude that LISA may detect such binaries provided that the fraction of
globular clusters with black holes in the mass range of interest is substantial
and that the dispersion velocity of the cluster stars near the radius of
influence of the black hole exceeds $\sim 20km/s$.
| astro-ph | abbreviated we consider how tight binaries consisting of a supermassive black hole of mass m103104m_odot and a white dwarf can be formed in a globular cluster we point out that a major fraction of white dwarfs tidally captured by the black hole may be destroyed by tidal inflation during ongoing circularisation and the formation of tight binaries is inhibited however some stars may survive being spun up to high rotation rates then the energy loss through gravitational wave emission induced by tidally excited pulsation modes and dissipation through non linear effects may compete with the increase of pulsation energy due to dynamic tides the semimajor axes of these stars can be decreased below a critical value where dynamic tides are not effective because pulsation modes retain phase coherence between successive pericentre passages the rate of formation of such circularising stars is estimated assuming that they can be modelled as n15 polytropes and that results of the tidal theory for slow rotators can be extrapolated to fast rotators we estimate the total capture rate as sim dot nsim 25cdot 108m_413r_0121yr1 where m_4m104m_odot and r_01 is the radius of influence of the black hole in units 01pc we find that the formation rate of tight pairs is approximately 10 times smaller than the total capture rate it is used to estimate the probability of detection of gravitational waves coming from such tight binaries by lisa we conclude that lisa may detect such binaries provided that the fraction of globular clusters with black holes in the mass range of interest is substantial and that the dispersion velocity of the cluster stars near the radius of influence of the black hole exceeds sim 20kms | [['abbreviated', 'we', 'consider', 'how', 'tight', 'binaries', 'consisting', 'of', 'a', 'supermassive', 'black', 'hole', 'of', 'mass', 'm103104m_odot', 'and', 'a', 'white', 'dwarf', 'can', 'be', 'formed', 'in', 'a', 'globular', 'cluster', 'we', 'point', 'out', 'that', 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709.0481 | The Fr\"olicher spectral sequence can be arbitrarily non degenerate | The Fr\"olicher spectral sequence of a compact complex manifold $X$ measures
the difference between Dolbeault cohomology and de Rham cohomology.
We construct for $n\geq 2$ nilmanifolds with left-invariant complex structure
$X_n$ such that the $n$-th differential $d_n$ does not vanish. This replaces an
earlier incorrect example by the second author.
| math.AG math.DG | the frolicher spectral sequence of a compact complex manifold x measures the difference between dolbeault cohomology and de rham cohomology we construct for ngeq 2 nilmanifolds with leftinvariant complex structure x_n such that the nth differential d_n does not vanish this replaces an earlier incorrect example by the second author | [['the', 'frolicher', 'spectral', 'sequence', 'of', 'a', 'compact', 'complex', 'manifold', 'x', 'measures', 'the', 'difference', 'between', 'dolbeault', 'cohomology', 'and', 'de', 'rham', 'cohomology', 'we', 'construct', 'for', 'ngeq', '2', 'nilmanifolds', 'with', 'leftinvariant', 'complex', 'structure', 'x_n', 'such', 'that', 'the', 'nth', 'differential', 'd_n', 'does', 'not', 'vanish', 'this', 'replaces', 'an', 'earlier', 'incorrect', 'example', 'by', 'the', 'second', 'author']] | [-0.25047422060742974, 0.0358765201762435, -0.10550810601562262, 0.1193529178830795, -0.1556475169584155, -0.114037108970806, -0.1250361053808592, 0.359211118016392, -0.29406493962043895, -0.2399453652277589, 0.06570116101764142, -0.24373354498296976, -0.20905000689439476, 0.12376048133708537, -0.20471208839677274, -0.0561703832144849, 0.025173802841454745, 0.12885685569606722, -0.10777577461209148, -0.26792204165365546, 0.5046720034629106, -0.0238964999653399, 0.19204780653119088, -0.026176860723644495, 0.12755802059546112, -0.0243805434089154, -0.035392371295019986, -0.12439637649804354, -0.16942209406362962, 0.13860145941376686, 0.3347008282877505, 0.024260527901351452, 0.17417794352862984, -0.3427876552194357, -0.10684333305805921, 0.2540724581666291, 0.15243711868766696, -0.03587679760530591, -0.008066694457083941, -0.3320907861739397, 0.1180085474345833, -0.1383093220810406, -0.18323713100515307, -0.10230755256954581, 0.07843068238347768, 0.030390124246478082, -0.19478475986630656, 0.05373082211241126, 0.14872573636472225, 0.12261211266741157, -0.07230325252283365, -0.09972885111346841, -0.14185254815965892, 0.09055351595394313, -0.08699882278218865, 0.0801421445980668, 0.09321751278825104, 0.026409599985927342, -0.15748202151618898, 0.30474574014544487, -0.12883679192513228, -0.274682201705873, 0.04100722622126341, -0.22949611400254072, -0.2846234736777842, 0.13226380351930855, 0.012828131690621376, 0.24371440822258592, 0.046635474133072424, 0.20261679639923386, -0.016766364919021726, 0.1540953735820949, 0.13732522713020445, -0.0717199030611664, 0.07955754207447172, 0.07890730515122414, 0.1045105436630547, -0.006015722332522273, 0.05113198928302154, -0.04559193300083279, -0.36360622361302375, -0.2532067787833512, -0.1590565746370703, 0.23430791706341553, -0.16711205783271, -0.19451524760574102, 0.31531678333878516, 0.018842580150812863, 0.20966446526348592, 0.12382319239899515, 0.22094410121440888, 0.05998508704360574, 0.00886264642700553, 0.030520459497347475, 0.041671448620036244, 0.2246797882625833, 0.07999427998671309, -0.13516129088180606, -0.06034600704908371, 0.24768265798687936] |
709.0482 | Springer correspondences for dihedral groups | Recent work by a number of people has shown that complex reflection groups
give rise to many representation-theoretic structures (e.g., generic degrees
and families of characters), as though they were Weyl groups of algebraic
groups. Conjecturally, these structures are actually describing the
representation theory of as-yet undescribed objects called ''spetses'', of
which reductive algebraic groups ought to be a special case.
In this paper, we carry out the Lusztig--Shoji algorithm for calculating
Green functions for the dihedral groups. With a suitable set-up, the output of
this algorithm turns out to satisfy all the integrality and positivity
conditions that hold in the Weyl group case, so we may think of it as
describing the geometry of the ''unipotent variety'' associated to a spets.
From this, we determine the possible ''Springer correspondences'', and we
show that, as is true for algebraic groups, each special piece is rationally
smooth, as is the full unipotent variety.
| math.RT math.GR | recent work by a number of people has shown that complex reflection groups give rise to many representationtheoretic structures eg generic degrees and families of characters as though they were weyl groups of algebraic groups conjecturally these structures are actually describing the representation theory of asyet undescribed objects called spetses of which reductive algebraic groups ought to be a special case in this paper we carry out the lusztigshoji algorithm for calculating green functions for the dihedral groups with a suitable setup the output of this algorithm turns out to satisfy all the integrality and positivity conditions that hold in the weyl group case so we may think of it as describing the geometry of the unipotent variety associated to a spets from this we determine the possible springer correspondences and we show that as is true for algebraic groups each special piece is rationally smooth as is the full unipotent variety | [['recent', 'work', 'by', 'a', 'number', 'of', 'people', 'has', 'shown', 'that', 'complex', 'reflection', 'groups', 'give', 'rise', 'to', 'many', 'representationtheoretic', 'structures', 'eg', 'generic', 'degrees', 'and', 'families', 'of', 'characters', 'as', 'though', 'they', 'were', 'weyl', 'groups', 'of', 'algebraic', 'groups', 'conjecturally', 'these', 'structures', 'are', 'actually', 'describing', 'the', 'representation', 'theory', 'of', 'asyet', 'undescribed', 'objects', 'called', 'spetses', 'of', 'which', 'reductive', 'algebraic', 'groups', 'ought', 'to', 'be', 'a', 'special', 'case', 'in', 'this', 'paper', 'we', 'carry', 'out', 'the', 'lusztigshoji', 'algorithm', 'for', 'calculating', 'green', 'functions', 'for', 'the', 'dihedral', 'groups', 'with', 'a', 'suitable', 'setup', 'the', 'output', 'of', 'this', 'algorithm', 'turns', 'out', 'to', 'satisfy', 'all', 'the', 'integrality', 'and', 'positivity', 'conditions', 'that', 'hold', 'in', 'the', 'weyl', 'group', 'case', 'so', 'we', 'may', 'think', 'of', 'it', 'as', 'describing', 'the', 'geometry', 'of', 'the', 'unipotent', 'variety', 'associated', 'to', 'a', 'spets', 'from', 'this', 'we', 'determine', 'the', 'possible', 'springer', 'correspondences', 'and', 'we', 'show', 'that', 'as', 'is', 'true', 'for', 'algebraic', 'groups', 'each', 'special', 'piece', 'is', 'rationally', 'smooth', 'as', 'is', 'the', 'full', 'unipotent', 'variety']] | [-0.17296560956398024, 0.06973026374849724, -0.13696259864295524, 0.07563323535646002, -0.13991991590708494, -0.13924039748186867, 0.008483528471551836, 0.3634711576377352, -0.3006753826607019, -0.2683037773457666, 0.10262148530338891, -0.21063612760044634, -0.20148111294644575, 0.22978329718112944, -0.12225268928334117, -0.02648561979876831, 0.02907290599619349, 0.08929060501977801, -0.07755032031175992, -0.2915351546679934, 0.3799425085044156, -0.0060902847225467365, 0.24103721792499225, 0.01632990364295741, 0.08433683105433981, 0.02395637926335136, -0.017970457123592496, 0.01728132996708155, -0.08241699445289366, 0.12742453486658634, 0.3425371099705808, 0.06821714939704786, 0.20301964382641016, -0.38575298394386964, -0.17358973141293974, 0.17373602081711093, 0.14224594864518925, 0.10414767393919949, -0.01746509219830235, -0.25846914408262817, 0.11620908044589062, -0.17453941985654334, -0.16142738346941768, -0.10091292946288984, 0.0514732536735634, 0.01811077571163575, -0.19983185790479183, -0.004268113615301748, 0.05174241992024084, 0.08761742946808226, -0.040974060844940444, -0.10322673317122584, -0.02712890926748514, 0.15870824728161095, 0.03163793651852757, -0.017363088893083235, 0.09642889926210046, -0.1097902693413198, -0.09446620400684576, 0.4243070249445736, 0.036855056099593636, -0.209970667026937, 0.1787574323146449, -0.14096841923970108, -0.20756579967138047, 0.12518207299988718, 0.12294696482208868, 0.134306809764045, -0.08115348214283585, 0.11032334755989723, -0.16388401977407435, 0.0736653561082979, 0.09389384696648145, 0.019004664585615196, 0.1732042700983584, 0.061660731205095846, 0.06359032963363764, 0.11708224107433732, 0.024498441192748334, -0.03806946956824201, -0.34164039781938, -0.20426198292523623, -0.10200935715110973, 0.10658269103926916, -0.05565668097978536, -0.18657244880121046, 0.4096764181740582, 0.09513428429840133, 0.17480997115373612, 0.09107499083581691, 0.1886881981790066, 0.06763746571571877, 0.09086795046304663, 0.05087885087666412, 0.14769339030686146, 0.19513103241411348, -0.018247902312626442, -0.12744076953890424, 0.017156198406980062, 0.12631283717385183] |
709.0483 | The PT-symmetric brachistochrone problem, Lorentz boosts and non-unitary
operator equivalence classes | The PT-symmetric (PTS) quantum brachistochrone problem is reanalyzed as
quantum system consisting of a non-Hermitian PTS component and a purely
Hermitian component simultaneously. Interpreting this specific setup as
subsystem of a larger Hermitian system, we find non-unitary operator
equivalence classes (conjugacy classes) as natural ingredient which contain at
least one Dirac-Hermitian representative. With the help of a geometric analysis
the compatibility of the vanishing passage time solution of a PTS
brachistochrone with the Anandan-Aharonov lower bound for passage times of
Hermitian brachistochrones is demonstrated.
| quant-ph hep-th math-ph math.MP | the ptsymmetric pts quantum brachistochrone problem is reanalyzed as quantum system consisting of a nonhermitian pts component and a purely hermitian component simultaneously interpreting this specific setup as subsystem of a larger hermitian system we find nonunitary operator equivalence classes conjugacy classes as natural ingredient which contain at least one dirachermitian representative with the help of a geometric analysis the compatibility of the vanishing passage time solution of a pts brachistochrone with the anandanaharonov lower bound for passage times of hermitian brachistochrones is demonstrated | [['the', 'ptsymmetric', 'pts', 'quantum', 'brachistochrone', 'problem', 'is', 'reanalyzed', 'as', 'quantum', 'system', 'consisting', 'of', 'a', 'nonhermitian', 'pts', 'component', 'and', 'a', 'purely', 'hermitian', 'component', 'simultaneously', 'interpreting', 'this', 'specific', 'setup', 'as', 'subsystem', 'of', 'a', 'larger', 'hermitian', 'system', 'we', 'find', 'nonunitary', 'operator', 'equivalence', 'classes', 'conjugacy', 'classes', 'as', 'natural', 'ingredient', 'which', 'contain', 'at', 'least', 'one', 'dirachermitian', 'representative', 'with', 'the', 'help', 'of', 'a', 'geometric', 'analysis', 'the', 'compatibility', 'of', 'the', 'vanishing', 'passage', 'time', 'solution', 'of', 'a', 'pts', 'brachistochrone', 'with', 'the', 'anandanaharonov', 'lower', 'bound', 'for', 'passage', 'times', 'of', 'hermitian', 'brachistochrones', 'is', 'demonstrated']] | [-0.17401733496282473, 0.12295267220407007, -0.06604654764397497, 0.04723676065886281, -0.04479325136326882, -0.21700934579326625, -0.011615624084664756, 0.30054071119212245, -0.2486374186329454, -0.2720370932246547, 0.12012449999799929, -0.2713457973427083, -0.1551731930020355, 0.1701536785856069, -0.02936898785676942, 0.09969895135566413, 0.08744464125708644, 0.07733006954350206, -0.13934939025890036, -0.1862475625632039, 0.3504502354301961, 0.005267413128279598, 0.18803540485383696, 0.0014518603180389267, 0.1213212053877784, 0.01993144194718944, 0.04658474021378052, -0.03381295692938638, -0.08716015882105622, 0.058693845675615114, 0.26433008696872695, 0.11516886644825586, 0.21720105375398893, -0.3803998036197869, -0.21672907984445253, 0.17672486989253974, 0.10627144544261945, 0.07580385672865458, -0.015224818476890943, -0.28393075352601976, 0.032859206670917664, -0.15356065576379918, -0.16174831346844334, -0.010730085877634316, 0.07553222462400255, -0.07531025904758148, -0.2205580975635942, 0.05323253826137228, 0.11624562733032438, 0.058677062773740435, -0.032166113695466375, -0.07979228658074267, 0.024255769624632884, 0.08587815689416714, -0.014134147434484169, -0.022606405244399625, 0.10698409038539751, -0.042940369490197444, -0.1453517377727205, 0.4097612388207611, -0.061403007229722764, -0.16865840603608684, 0.14967379004256912, -0.06850054630790893, -0.13427248787897897, 0.12384338088961969, 0.12576036550194383, 0.140162539769368, -0.11935438774666379, 0.08943285670970197, -0.07576859206050994, 0.15678012984277434, 0.05978058128202536, 0.07813150235500849, 0.17810724902875633, 0.11899703599692109, 0.10202809328953903, 0.18136173222741359, 0.00741372052131288, -0.16898171311940055, -0.33358407552432584, -0.197088215952453, -0.21306723778147296, 0.11843993005213743, -0.11668370840829062, -0.1867627918002117, 0.4347610656755516, 0.06623853507738543, 0.2054135946203472, 0.06306575278959137, 0.2531963119575058, 0.16999329143366496, 0.061819042337228014, 0.04497414364490703, 0.20790506695279382, 0.19071374038873937, 0.05757583832615111, -0.23537879015588348, -0.010104938309235745, 0.14111246781266598] |
709.0484 | Determination of F_pi from Distributions of Dirac Operator Eigenvalues
with Imaginary Density | In the epsilon-regime of lattice QCD one can get an accurate measurement of
the pion decay constant F_pi by monitoring how just one single Dirac operator
eigenvalue splits into two when subjected to two different external vector
sources. Because we choose imaginary chemical potentials our Dirac eigenvalues
remain real. Based on the relevant chiral Random Two-Matrix Theory we derive
individual eigenvalue distributions in terms of density correlations functions
to leading order in the finite-volume epsilon-expansion. As a simple byproduct
we also show how the associated individual Dirac eigenvalue distributions and
their correlations can be computed directly from the effective chiral
Lagrangian.
| hep-lat | in the epsilonregime of lattice qcd one can get an accurate measurement of the pion decay constant f_pi by monitoring how just one single dirac operator eigenvalue splits into two when subjected to two different external vector sources because we choose imaginary chemical potentials our dirac eigenvalues remain real based on the relevant chiral random twomatrix theory we derive individual eigenvalue distributions in terms of density correlations functions to leading order in the finitevolume epsilonexpansion as a simple byproduct we also show how the associated individual dirac eigenvalue distributions and their correlations can be computed directly from the effective chiral lagrangian | [['in', 'the', 'epsilonregime', 'of', 'lattice', 'qcd', 'one', 'can', 'get', 'an', 'accurate', 'measurement', 'of', 'the', 'pion', 'decay', 'constant', 'f_pi', 'by', 'monitoring', 'how', 'just', 'one', 'single', 'dirac', 'operator', 'eigenvalue', 'splits', 'into', 'two', 'when', 'subjected', 'to', 'two', 'different', 'external', 'vector', 'sources', 'because', 'we', 'choose', 'imaginary', 'chemical', 'potentials', 'our', 'dirac', 'eigenvalues', 'remain', 'real', 'based', 'on', 'the', 'relevant', 'chiral', 'random', 'twomatrix', 'theory', 'we', 'derive', 'individual', 'eigenvalue', 'distributions', 'in', 'terms', 'of', 'density', 'correlations', 'functions', 'to', 'leading', 'order', 'in', 'the', 'finitevolume', 'epsilonexpansion', 'as', 'a', 'simple', 'byproduct', 'we', 'also', 'show', 'how', 'the', 'associated', 'individual', 'dirac', 'eigenvalue', 'distributions', 'and', 'their', 'correlations', 'can', 'be', 'computed', 'directly', 'from', 'the', 'effective', 'chiral', 'lagrangian']] | [-0.10567145448380916, 0.19899587189023138, -0.10811726640135345, 0.10634759989668532, -0.07411045201196528, -0.13535776890648327, 0.03128218094675368, 0.36691884412476333, -0.2417528088098521, -0.24622124044390598, 0.03002483382392306, -0.3351203953791963, -0.1434372129416702, 0.08638985991929796, 0.06484862312785175, 0.10379936048152423, 0.031929440169346214, 0.08541163513644387, -0.09824256012608104, -0.21768465449129887, 0.35668875720112186, -0.03228198651611657, 0.2330022884030264, 0.10188216260763457, 0.029290961511986385, 0.020782937263461327, 0.008650119527067878, -0.03640436153803574, -0.0839663196613293, 0.08449417719211762, 0.23002134639271857, 0.010765005543938663, 0.19413580421800955, -0.42793878466628565, -0.1869854683812597, 0.11497813051031662, 0.2059044770494168, 0.11033765610196802, -0.015824107062486506, -0.2862401111604701, 0.05406349865111089, -0.15318294799434815, -0.18995284915689636, -0.15586137605628164, -0.04209836046349737, -0.02090673871213884, -0.2888242851546274, 0.11122180010701557, -0.045927159935420396, 0.026928753555189856, -0.05605746602344484, -0.20671686811815246, -0.02777288160932315, 0.16234363568860272, 0.05393993068892177, -0.0014363621029597107, 0.14382147123128877, -0.1003204980994215, -0.10222175690612875, 0.42382753842123, -0.0856495265316421, -0.2697968432255606, 0.0996729813834265, -0.14989110492262067, -0.11959095591550122, 0.08852747798261076, 0.17186650043321164, 0.10299329712726453, -0.15754136086126333, 0.09003064408840722, -0.018352190116743123, 0.13149842324823435, 0.07772978530311496, 0.019402616528222467, 0.20445411833058488, 0.047169520821662085, 0.05929060917495206, 0.1192423508048408, -0.04164974989731436, -0.13662470553743442, -0.3489311283620277, -0.08366690350493006, -0.22208052262258116, 0.1278325378996237, -0.16360569918181836, -0.19269141703924755, 0.4376820892713374, 0.14172102699037825, 0.24653319601605803, 0.01985113491479418, 0.28310480666817117, 0.19039159138124473, 0.05506338590368776, 0.0380657291925042, 0.21085695975856616, 0.16908794257208926, 0.06909874388210402, -0.25419375027695873, -0.03910714731376508, 0.11642334710502315] |
709.0485 | The distance to the Orion Nebula | We have used the Very Long Baseline Array to measure the trigonometric
parallax of several member stars of the Orion Nebula Cluster showing
non-thermal radio emission. We have determined the distance to the cluster to
be 414 +/- 7 pc. Our distance determination allows for an improved calibration
of luminosities and ages of young stars. We have also measured the proper
motions of four cluster stars which, when accurate radial velocities are
measured, will put strong constraints on the origin of the cluster.
| astro-ph | we have used the very long baseline array to measure the trigonometric parallax of several member stars of the orion nebula cluster showing nonthermal radio emission we have determined the distance to the cluster to be 414 7 pc our distance determination allows for an improved calibration of luminosities and ages of young stars we have also measured the proper motions of four cluster stars which when accurate radial velocities are measured will put strong constraints on the origin of the cluster | [['we', 'have', 'used', 'the', 'very', 'long', 'baseline', 'array', 'to', 'measure', 'the', 'trigonometric', 'parallax', 'of', 'several', 'member', 'stars', 'of', 'the', 'orion', 'nebula', 'cluster', 'showing', 'nonthermal', 'radio', 'emission', 'we', 'have', 'determined', 'the', 'distance', 'to', 'the', 'cluster', 'to', 'be', '414', '7', 'pc', 'our', 'distance', 'determination', 'allows', 'for', 'an', 'improved', 'calibration', 'of', 'luminosities', 'and', 'ages', 'of', 'young', 'stars', 'we', 'have', 'also', 'measured', 'the', 'proper', 'motions', 'of', 'four', 'cluster', 'stars', 'which', 'when', 'accurate', 'radial', 'velocities', 'are', 'measured', 'will', 'put', 'strong', 'constraints', 'on', 'the', 'origin', 'of', 'the', 'cluster']] | [-0.06855989988075524, 0.09070870249760025, -0.12534814390422003, 0.07284588961884743, -0.14384696615587284, -0.040766220666161486, 0.07411615621502989, 0.48965154465560506, -0.2035983036294943, -0.3585071659578783, 0.048654362405991046, -0.24229064768073064, 0.07195674055312737, 0.2435874347447236, -0.027537927088304992, 0.001739366831848534, 0.15376650454567337, -0.023597749410106277, -0.048713307759565554, -0.2656890124440329, 0.2601974600608029, 0.07965510532759675, 0.12475060350148053, -0.007395701744116661, 0.07781730923324642, -0.12976273432055987, -0.09743091355009777, 0.021659446834791, -0.16919872124974683, 0.11052083743100123, 0.17348855886631076, 0.14228072941371397, 0.1891186697544848, -0.3165534070988254, -0.17041684530970708, 0.07245530763913582, 0.19645988612390328, 0.03993354150997021, 0.0003866359475068748, -0.32969943886032194, 0.08780890198924192, -0.2102615390336368, -0.22980672119912215, 0.048180826076465406, 0.0999641132927159, 0.07654414839315705, -0.20305958858168707, 0.10483069604272648, -0.03079981555191164, 0.10203264404951436, -0.11039835243079835, -0.20000391753345, 0.027228638498544146, 0.16768113619018993, -0.019317177260612568, 0.0738734115346721, 0.1296269499083481, -0.059454346870685494, -0.05802717058714933, 0.41261531003728147, -0.06433363717117506, -0.04143475882656497, 0.2469663457922274, -0.2108001156778234, -0.21655409905219042, 0.09434746768007554, 0.16042783377101508, 0.10359189172684238, -0.2278182115727005, -0.03678514972036682, -0.009988482155632682, 0.1780102418553902, 0.07547307362859478, 0.09420851490278614, 0.26911742049382953, 0.09001824243289487, 0.06201871043559527, 0.08188773081325586, -0.31386441620146266, -0.01784209795182616, -0.22113875447340856, -0.07796484562579015, -0.14014963705444755, 0.06411666870003611, -0.16080095255502538, -0.14103544907780682, 0.3140909715112662, 0.11358528120852099, 0.17109550547036456, 0.055433967654740936, 0.22650233492618654, 0.0988276046090305, 0.14139976074334187, 0.10498809544142426, 0.3427618012377402, 0.23475840976234616, 0.04766919780181857, -0.26029334676156685, 0.06207252336984, 0.001028197726643667] |
709.0486 | Enhancement of Intermediate-Field Two-Photon Absorption by
Rationally-Shaped Femtosecond Pulses | We extend the powerful frequency-domain analysis of femtosecond two-photon
absorption to the intermediate-field regime, which involves both two- and
four-photon transitions. Consequently, we find a broad family of shaped pulses
that enhance the absorption over the transform-limited pulse. It includes any
spectral phase that is anti-symmetric around half the transition frequency. The
spectrum is asymmetric around it. The theoretical framework and results for Na
are verified experimentally. This work opens the door for rational femtosecond
coherent control in a regime of considerable absorption yields.
| physics.atom-ph physics.chem-ph | we extend the powerful frequencydomain analysis of femtosecond twophoton absorption to the intermediatefield regime which involves both two and fourphoton transitions consequently we find a broad family of shaped pulses that enhance the absorption over the transformlimited pulse it includes any spectral phase that is antisymmetric around half the transition frequency the spectrum is asymmetric around it the theoretical framework and results for na are verified experimentally this work opens the door for rational femtosecond coherent control in a regime of considerable absorption yields | [['we', 'extend', 'the', 'powerful', 'frequencydomain', 'analysis', 'of', 'femtosecond', 'twophoton', 'absorption', 'to', 'the', 'intermediatefield', 'regime', 'which', 'involves', 'both', 'two', 'and', 'fourphoton', 'transitions', 'consequently', 'we', 'find', 'a', 'broad', 'family', 'of', 'shaped', 'pulses', 'that', 'enhance', 'the', 'absorption', 'over', 'the', 'transformlimited', 'pulse', 'it', 'includes', 'any', 'spectral', 'phase', 'that', 'is', 'antisymmetric', 'around', 'half', 'the', 'transition', 'frequency', 'the', 'spectrum', 'is', 'asymmetric', 'around', 'it', 'the', 'theoretical', 'framework', 'and', 'results', 'for', 'na', 'are', 'verified', 'experimentally', 'this', 'work', 'opens', 'the', 'door', 'for', 'rational', 'femtosecond', 'coherent', 'control', 'in', 'a', 'regime', 'of', 'considerable', 'absorption', 'yields']] | [-0.12734038732014596, 0.14822363929401727, -0.06772175858107705, 0.021968292273370372, -0.041945219084265684, -0.16758203006438202, 0.05313885281793773, 0.4716848811519975, -0.22458088958990716, -0.25228365049475715, 0.013540583001616011, -0.26353776886909536, -0.1343562053973853, 0.2565979400782713, 0.024927503035758577, 0.0490254401617373, 0.010890029825358874, -0.07765114591235206, -0.024941425047083094, -0.11439960337953553, 0.29741798059105695, 0.03283794737598371, 0.29572040619816453, 0.08450011751015804, 0.07776204795542678, 0.023409321161341808, 0.0038370774515594044, -0.07275403304291624, -0.10354137153955803, 0.10818073674592943, 0.26875819429932607, 0.0554709890413852, 0.24751728443273655, -0.3379991760122634, -0.2595860148735699, 0.07042800346001361, 0.1670785372708841, 0.1655633009435232, -0.07467785878716746, -0.2779066806126918, 0.037318197455966755, -0.14658423559185826, -0.13644531074844832, -0.08369177754225564, 0.006055801957180458, 0.005992902531510308, -0.28230713624950676, 0.04467073820775286, 0.07331954989959263, 0.027308247661927625, -0.034663695348648445, -0.022482417806583856, 0.0026795954105355555, 0.06065155370604424, -0.04375317666701795, -0.010890547152874725, 0.11693387496883847, -0.08789375619242146, -0.1098306970781691, 0.36289177403904477, -0.1203135622088753, -0.03594311303181928, 0.13430213343928613, -0.1993419035958747, -0.07771616760319808, 0.27006868489219676, 0.11985290252570328, 0.1696516697161964, -0.09670334568086435, 0.03366028941984821, -0.023503556897464608, 0.2261024328209238, 0.10957679287752226, 0.10035831262246661, 0.20440460215987905, 0.17086589404581382, 0.036204550542779976, 0.17256258308078118, -0.1198950741451145, -0.10360297342828874, -0.26302557018408107, -0.10441966399195649, -0.14155899949227682, 0.021735394308398964, -0.04381619920985984, -0.12206438189328071, 0.4689630131636347, 0.13593223697638937, 0.15454907672080612, 0.02189739074674435, 0.2951981684780635, 0.17789178101035455, 0.028316703469802935, 0.016669704889257748, 0.32649634572278174, 0.1568608480350425, 0.09853279005637021, -0.25801445670852746, 0.023238919996878223, -0.05520298674569598] |
709.0487 | Cosmic Infrared Background from Early Epochs - Searching for Signatures
of the First Stars | Cosmic infrared background (CIB) contains emission from epochs inaccessible
to current telescopic studies, such as the era of the first stars. We discuss
theoretical expectations for the CIB contributions from the early population of
massive stars. We then present the latest results from the ongoing project by
our team (Kashlinsky, Arendt, Mather & Moseley 2005,2007a,b,c,) to measure CIB
fluctuations from early epochs using deep Spitzer data. The results show the
existence of significant CIB fluctuations at the IRAC wavelengths (3.6 to 8
mic) which remain after removing galaxies down to very faint levels. These
fluctuations must arise from populations that have a significant clustering
component, but only low levels of the shot noise. Furthermore, there are no
correlations between the source-subtracted IRAC maps and the corresponding
fields observed with the HST ACS at optical wavelengths. Taken together, these
data imply that 1) the sources producing the CIB fluctuations are individually
faint with flux < a few nJy at 3.6 and 4.5 mic; 2) are located within the first
0.7 Gyr (unless these fluctuations can somehow be produced by - so far
unobserved - local galaxies of extremely low luminosity and with the unusual
for local populations clustering pattern), 3) they produce contribution to the
net CIB flux of at least 1-2 nW/m^2/sr at 3.6 and 4.5 mic and must have
mass-to-light ratio significantly below the present-day populations, and 4)
they have angular density of ~ a few per arcsec^2 and are in the confusion of
the present day instruments, but can be individually observable with JWST.
| astro-ph | cosmic infrared background cib contains emission from epochs inaccessible to current telescopic studies such as the era of the first stars we discuss theoretical expectations for the cib contributions from the early population of massive stars we then present the latest results from the ongoing project by our team kashlinsky arendt mather moseley 20052007abc to measure cib fluctuations from early epochs using deep spitzer data the results show the existence of significant cib fluctuations at the irac wavelengths 36 to 8 mic which remain after removing galaxies down to very faint levels these fluctuations must arise from populations that have a significant clustering component but only low levels of the shot noise furthermore there are no correlations between the sourcesubtracted irac maps and the corresponding fields observed with the hst acs at optical wavelengths taken together these data imply that 1 the sources producing the cib fluctuations are individually faint with flux a few njy at 36 and 45 mic 2 are located within the first 07 gyr unless these fluctuations can somehow be produced by so far unobserved local galaxies of extremely low luminosity and with the unusual for local populations clustering pattern 3 they produce contribution to the net cib flux of at least 12 nwm2sr at 36 and 45 mic and must have masstolight ratio significantly below the presentday populations and 4 they have angular density of a few per arcsec2 and are in the confusion of the present day instruments but can be individually observable with jwst | [['cosmic', 'infrared', 'background', 'cib', 'contains', 'emission', 'from', 'epochs', 'inaccessible', 'to', 'current', 'telescopic', 'studies', 'such', 'as', 'the', 'era', 'of', 'the', 'first', 'stars', 'we', 'discuss', 'theoretical', 'expectations', 'for', 'the', 'cib', 'contributions', 'from', 'the', 'early', 'population', 'of', 'massive', 'stars', 'we', 'then', 'present', 'the', 'latest', 'results', 'from', 'the', 'ongoing', 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-0.0753002629680559] |
709.0488 | Spitzer Infrared Spectrograph Observations of Magellanic Cloud Planetary
Nebulae: the nature of dust in low metallicity circumstellar ejecta | We present 5 - 40 micron spectroscopy of 41 planetary nebulae (PNe) in the
Magellanic Clouds, observed with the Infrared Spectrograph on board the Spitzer
Space Telescope. The spectra show the presence of a combination of nebular
emission lines and solid-state features from dust, superimposed on the thermal
IR continuum.
By analyzing the 25 LMC and 16 SMC PNe in our sample we found that the IR
spectra of 14 LMC and 4 SMC PNe are dominated by nebular emission lines, while
the other spectra show solid-state features. We observed that the solid-state
features are compatible with carbon-rich dust grains (SiC, polycyclic aromatic
hydrocarbons (PAHs), etc.) in most cases, except in three PNe showing
oxygen-rich dust features. The frequency of carbonaceous dust features is
generally higher in LMC than in SMC PNe.
The spectral analysis allowed the correlations of the dust characteristics
with the gas composition and morphology, and the properties of the central
stars. We found that: 1) all PNe with carbonaceous dust features have C/O>1,
none of these being bipolar or otherwise highly asymmetric; 2) all PNe with
oxygen-rich dust features have C/O<1, with probable high mass progenitors if
derived from single-star evolution (these PNe are either bipolar or highly
asymmetric); 3) the dust temperature tracks the nebular and stellar evolution;
and 4) the dust production efficiency depends on metallicity, with low
metallicity environments not favoring dust production.
| astro-ph | we present 5 40 micron spectroscopy of 41 planetary nebulae pne in the magellanic clouds observed with the infrared spectrograph on board the spitzer space telescope the spectra show the presence of a combination of nebular emission lines and solidstate features from dust superimposed on the thermal ir continuum by analyzing the 25 lmc and 16 smc pne in our sample we found that the ir spectra of 14 lmc and 4 smc pne are dominated by nebular emission lines while the other spectra show solidstate features we observed that the solidstate features are compatible with carbonrich dust grains sic polycyclic aromatic hydrocarbons pahs etc in most cases except in three pne showing oxygenrich dust features the frequency of carbonaceous dust features is generally higher in lmc than in smc pne the spectral analysis allowed the correlations of the dust characteristics with the gas composition and morphology and the properties of the central stars we found that 1 all pne with carbonaceous dust features have co1 none of these being bipolar or otherwise highly asymmetric 2 all pne with oxygenrich dust features have co1 with probable high mass progenitors if derived from singlestar evolution these pne are either bipolar or highly asymmetric 3 the dust temperature tracks the nebular and stellar evolution and 4 the dust production efficiency depends on metallicity with low metallicity environments not favoring dust production | [['we', 'present', '5', '40', 'micron', 'spectroscopy', 'of', '41', 'planetary', 'nebulae', 'pne', 'in', 'the', 'magellanic', 'clouds', 'observed', 'with', 'the', 'infrared', 'spectrograph', 'on', 'board', 'the', 'spitzer', 'space', 'telescope', 'the', 'spectra', 'show', 'the', 'presence', 'of', 'a', 'combination', 'of', 'nebular', 'emission', 'lines', 'and', 'solidstate', 'features', 'from', 'dust', 'superimposed', 'on', 'the', 'thermal', 'ir', 'continuum', 'by', 'analyzing', 'the', '25', 'lmc', 'and', '16', 'smc', 'pne', 'in', 'our', 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709.0489 | Corotating Interaction Regions and clumping | We present hydrodynamical models for Corotating Interaction Regions, which
were used by Lobel (2007) to model the Discrete Absorption Components in HD
64760. We also discuss our failure to model the rotational modulations seen in
the same star.
| astro-ph | we present hydrodynamical models for corotating interaction regions which were used by lobel 2007 to model the discrete absorption components in hd 64760 we also discuss our failure to model the rotational modulations seen in the same star | [['we', 'present', 'hydrodynamical', 'models', 'for', 'corotating', 'interaction', 'regions', 'which', 'were', 'used', 'by', 'lobel', '2007', 'to', 'model', 'the', 'discrete', 'absorption', 'components', 'in', 'hd', '64760', 'we', 'also', 'discuss', 'our', 'failure', 'to', 'model', 'the', 'rotational', 'modulations', 'seen', 'in', 'the', 'same', 'star']] | [-0.08774309383856284, 0.05213790653726539, -0.062006622150137615, 0.08319183876989661, -0.04612755347546693, -0.103766747095899, -0.0012822709788845197, 0.4351243377738708, -0.20514222073393898, -0.3062797322667934, 0.02968878429257185, -0.235435173897123, -0.11961424433802431, 0.11564514492764263, -0.06123556277236423, 0.020295441276519686, 0.06383038489651438, -0.053103019382703946, -0.011096034350024687, -0.22773626750033046, 0.255913498761082, 0.05650904218389376, 0.16455111483967788, -0.0296828306808665, 0.014301368375182958, -0.05933257520853265, -0.03224043976012114, -0.04705017457741338, -0.18002920590240407, 0.04502361544684784, 0.21189384356841548, 0.08952769194100355, 0.12975057344128554, -0.4263407799440461, -0.3241623823933706, 0.05496503782735483, 0.18736282708375035, 0.11402460994085649, -0.01807770538269668, -0.29590417092313637, 0.03635654497790981, -0.2304914636487091, -0.14070711323890733, -0.00768614696288431, 0.05307862341303278, 0.03922806700339188, -0.2739135775010328, 0.12028970432741493, 0.052530652918928375, 0.07649063205698857, -0.16424187808926846, -0.05556660242429053, -0.06951337045285146, 0.07802178457102461, 0.023133800912497414, 0.010207375146549296, 0.07476299614771395, -0.07080152036773192, -0.10899756458663457, 0.42108563434433294, -0.15070172676162139, -0.12833994672306487, 0.27293013630283847, -0.16927060314982728, -0.19597029380147923, 0.1115706734975951, 0.19540873804205172, 0.11001007333146157, -0.11261717672459781, -0.048756176668747854, -0.032772208916375764, 0.16661446096652463, 0.030787236988544464, -0.01654846452780672, 0.26007444305798494, 0.08619010549139332, -0.07000522261561756, 0.1477488715050591, -0.22131930378806852, -0.07988141927666761, -0.25360610925693167, -0.07471611109134313, -0.09383192777986059, -0.03845735573889436, -0.061703098497378664, -0.09027216037282267, 0.41139475110213497, 0.18999326771213296, 0.22364651915189382, -0.012274202736522499, 0.30364780309232503, 0.11964377403775281, 0.06285464204847813, 0.13749649180602785, 0.31576953360156435, 0.13402895635698694, 0.11446864940729495, -0.24914576042745565, 0.0661854644532542, 0.04901999361322236] |
709.049 | GW's towards fundamental principles of GR | The physical non-existence of gravitational waves (GW's) as a consequence of
the non-existence in general relativity (GR) of physically privileged reference
frames, and of the ``plasticity'' of relativistic notion of a coordinate
system.
| physics.gen-ph | the physical nonexistence of gravitational waves gws as a consequence of the nonexistence in general relativity gr of physically privileged reference frames and of the plasticity of relativistic notion of a coordinate system | [['the', 'physical', 'nonexistence', 'of', 'gravitational', 'waves', 'gws', 'as', 'a', 'consequence', 'of', 'the', 'nonexistence', 'in', 'general', 'relativity', 'gr', 'of', 'physically', 'privileged', 'reference', 'frames', 'and', 'of', 'the', 'plasticity', 'of', 'relativistic', 'notion', 'of', 'a', 'coordinate', 'system']] | [-0.24857317455903147, 0.065769042650407, -0.12263075098621123, 0.0949542864197583, -0.10481446326682062, -0.09206000103079008, -0.03685502905511495, 0.23884503248458108, -0.23587928229773586, -0.2329832607823791, 0.023727098081232696, -0.19852208346128464, -0.13855211686512287, 0.1716964184588781, -0.054503260519016876, 0.04575247278041912, 0.041698251709793556, 0.07121710300755997, -0.1328197532248768, -0.1278036278531407, 0.3529976474854982, 0.12740984022843116, 0.17216381199206365, -0.0601550250342398, 0.13056328249248592, 0.019483887780965728, -0.03016388269536423, 0.04512509269018968, -0.07923998511537458, 0.05676500440511683, 0.25507334958423267, 0.21536340993462186, 0.29568129657965264, -0.4172223318706859, -0.263182690818653, 0.04235497658902949, 0.04012930144866308, 0.2354784874301968, -0.039644594276041695, -0.369292354267655, 0.009086368323275537, -0.19606051323088733, -0.19894378767772156, 0.004886337189060269, 0.08609096152764378, 0.06905963689540372, -0.18473320163673523, 0.12952517571322847, 0.14276657640143778, 0.054680308891516746, -0.16865089688111434, 0.02244714333915688, -0.038657203944625726, 0.041244125783895004, 0.1219920063334884, 0.058556053237142885, 0.13293937712230466, -0.10603768502672513, -0.1327913340117613, 0.5321225137873129, -0.07013602068675964, -0.25652799165497225, 0.18256207840573607, -0.1816992351333752, -0.1091756317411747, 0.08560698128051379, 0.17817841165445067, 0.17072906531393528, -0.158766134246958, 0.03858259274927674, -0.04744726825844158, 0.11079691398437276, 0.1893048414847616, 0.14654502253732504, 0.3248582606514295, 0.10808113908790278, 0.023374832517495663, 0.06935020903068961, -0.024964361042348726, -0.039698759827649956, -0.48294221993648645, -0.16127474718924725, -0.16424123415102562, 0.12315424497831952, -0.17007887593398197, -0.21452366127491448, 0.3893850075758316, 0.10017947440571857, 0.04948426887505886, 0.07962889963704528, 0.2153460054771241, -0.017715688343300964, 0.0031980248168110847, 0.02277324642195846, 0.36962383138862526, 0.19695836672502937, 0.11496068393303589, -0.18806002972026667, -0.017376812485357124, 0.09640760090075094] |
709.0491 | Surface location of alkaline-earth atom impurities on helium
nanodroplets | There has been notable uncertainty regarding the degree of solvation of
alkaline-earth atoms, especially Mg, in free He-4 nanodroplets. We have
measured the electron energy dependence of the ionization yield of picked-up
atoms. There is a qualitative shape difference between the yield curves of
species solvated in the middle of the droplet and species located in the
surface region; this difference arises from the enhanced role played by the
Penning ionization process in the latter case. The measurements demonstrate
that Mg, Ca, Sr and Ba all reside at or near the droplet surface.
| cond-mat.other | there has been notable uncertainty regarding the degree of solvation of alkalineearth atoms especially mg in free he4 nanodroplets we have measured the electron energy dependence of the ionization yield of pickedup atoms there is a qualitative shape difference between the yield curves of species solvated in the middle of the droplet and species located in the surface region this difference arises from the enhanced role played by the penning ionization process in the latter case the measurements demonstrate that mg ca sr and ba all reside at or near the droplet surface | [['there', 'has', 'been', 'notable', 'uncertainty', 'regarding', 'the', 'degree', 'of', 'solvation', 'of', 'alkalineearth', 'atoms', 'especially', 'mg', 'in', 'free', 'he4', 'nanodroplets', 'we', 'have', 'measured', 'the', 'electron', 'energy', 'dependence', 'of', 'the', 'ionization', 'yield', 'of', 'pickedup', 'atoms', 'there', 'is', 'a', 'qualitative', 'shape', 'difference', 'between', 'the', 'yield', 'curves', 'of', 'species', 'solvated', 'in', 'the', 'middle', 'of', 'the', 'droplet', 'and', 'species', 'located', 'in', 'the', 'surface', 'region', 'this', 'difference', 'arises', 'from', 'the', 'enhanced', 'role', 'played', 'by', 'the', 'penning', 'ionization', 'process', 'in', 'the', 'latter', 'case', 'the', 'measurements', 'demonstrate', 'that', 'mg', 'ca', 'sr', 'and', 'ba', 'all', 'reside', 'at', 'or', 'near', 'the', 'droplet', 'surface']] | [-0.06003604321590354, 0.18568405144477404, -0.024040593780697353, 0.030980335211263806, 0.1123561011151641, -0.13186508406614583, 0.043134303600151816, 0.39597565436395266, -0.21006005233333958, -0.3202851195869747, -0.05086212912674553, -0.33222015587592957, -0.04642387585944786, 0.15228758171771564, -0.016422953474478075, -0.054096260303331, 0.053883708383192015, 0.011802378901711074, -0.050122415041050285, -0.21471783204094297, 0.30683567469078366, 0.0790417834375334, 0.2501360981559922, 0.13354552230266956, 0.06819116328192014, -0.056548245428931165, 0.042122943917669915, 0.036269606774552696, -0.15091360036713405, 0.1434533710776758, 0.259034554348878, 0.040586702112529065, 0.198700901025766, -0.43237293491600665, -0.235616417982245, 0.10458639594576051, 0.13483624627953897, 0.11273027586585452, -0.11940801093074423, -0.22248413217233953, -0.013508551994398717, -0.1072292367376009, -0.15125340469568338, 0.0437110562418257, 0.03997681792625176, 0.04667251727353501, -0.19401868214450216, 0.10290582981761745, 0.0700743771708941, 0.1571507393532703, -0.06323412940987656, -0.17360617525835512, -0.08391568317548723, 0.10346790781414877, 0.03559672459678334, -0.0012334397473242333, 0.21312020111688842, -0.09659070905888834, -0.004789520545752459, 0.4051810464150803, -0.09546639915976313, -0.10090528203234557, 0.18568707702140655, -0.23251655825503892, -0.07935371349430492, 0.2249278482925948, 0.10326560663299696, 0.10822057121142906, -0.06174608555331986, 0.09999816413963794, -0.02711499881459981, 0.1836331963328825, 0.14491519312905046, 0.02959177317097783, 0.21735540882594162, 0.16842925384195062, 0.02887786565578833, 0.07806880679982965, -0.17392584441169615, -0.11193513789624777, -0.2535852194633535, -0.19497091955034643, -0.13748103358297137, -0.021469936968999043, -0.057232897508055755, -0.14335873899280385, 0.3274291922608691, 0.04107700748073678, 0.17926976044652282, -0.12669722550618712, 0.21003723977714456, 0.09934090421239655, 0.02419003511663847, 0.030959028825764696, 0.29651438428830074, 0.17285643882739046, 0.10087654761148877, -0.330998118498653, 0.13463666649555328, 0.04144768620170252] |
709.0492 | Composable Security in the Bounded-Quantum-Storage Model | We present a simplified framework for proving sequential composability in the
quantum setting. In particular, we give a new, simulation-based, definition for
security in the bounded-quantum-storage model, and show that this definition
allows for sequential composition of protocols. Damgard et al. (FOCS '05,
CRYPTO '07) showed how to securely implement bit commitment and oblivious
transfer in the bounded-quantum-storage model, where the adversary is only
allowed to store a limited number of qubits. However, their security
definitions did only apply to the standalone setting, and it was not clear if
their protocols could be composed. Indeed, we first give a simple attack that
shows that these protocols are not composable without a small refinement of the
model. Finally, we prove the security of their randomized oblivious transfer
protocol in our refined model. Secure implementations of oblivious transfer and
bit commitment then follow easily by a (classical) reduction to randomized
oblivious transfer.
| quant-ph cs.CR | we present a simplified framework for proving sequential composability in the quantum setting in particular we give a new simulationbased definition for security in the boundedquantumstorage model and show that this definition allows for sequential composition of protocols damgard et al focs 05 crypto 07 showed how to securely implement bit commitment and oblivious transfer in the boundedquantumstorage model where the adversary is only allowed to store a limited number of qubits however their security definitions did only apply to the standalone setting and it was not clear if their protocols could be composed indeed we first give a simple attack that shows that these protocols are not composable without a small refinement of the model finally we prove the security of their randomized oblivious transfer protocol in our refined model secure implementations of oblivious transfer and bit commitment then follow easily by a classical reduction to randomized oblivious transfer | [['we', 'present', 'a', 'simplified', 'framework', 'for', 'proving', 'sequential', 'composability', 'in', 'the', 'quantum', 'setting', 'in', 'particular', 'we', 'give', 'a', 'new', 'simulationbased', 'definition', 'for', 'security', 'in', 'the', 'boundedquantumstorage', 'model', 'and', 'show', 'that', 'this', 'definition', 'allows', 'for', 'sequential', 'composition', 'of', 'protocols', 'damgard', 'et', 'al', 'focs', '05', 'crypto', '07', 'showed', 'how', 'to', 'securely', 'implement', 'bit', 'commitment', 'and', 'oblivious', 'transfer', 'in', 'the', 'boundedquantumstorage', 'model', 'where', 'the', 'adversary', 'is', 'only', 'allowed', 'to', 'store', 'a', 'limited', 'number', 'of', 'qubits', 'however', 'their', 'security', 'definitions', 'did', 'only', 'apply', 'to', 'the', 'standalone', 'setting', 'and', 'it', 'was', 'not', 'clear', 'if', 'their', 'protocols', 'could', 'be', 'composed', 'indeed', 'we', 'first', 'give', 'a', 'simple', 'attack', 'that', 'shows', 'that', 'these', 'protocols', 'are', 'not', 'composable', 'without', 'a', 'small', 'refinement', 'of', 'the', 'model', 'finally', 'we', 'prove', 'the', 'security', 'of', 'their', 'randomized', 'oblivious', 'transfer', 'protocol', 'in', 'our', 'refined', 'model', 'secure', 'implementations', 'of', 'oblivious', 'transfer', 'and', 'bit', 'commitment', 'then', 'follow', 'easily', 'by', 'a', 'classical', 'reduction', 'to', 'randomized', 'oblivious', 'transfer']] | [-0.1371564353023738, 0.04506020199352254, -0.08731195679244896, 0.09174971835687756, -0.04663161855190992, -0.27705821275090176, 0.15006444196527202, 0.3866144122183323, -0.27869950398938576, -0.3261980926586936, 0.06485359975136816, -0.18214113952136055, -0.13416786173048117, 0.21766979567085704, -0.18514825374664118, 0.08451742583264907, 0.039848160240023085, -0.03649532974387209, -0.015146099460932115, -0.30722979420019936, 0.2894282544761275, 0.057232616423474006, 0.2669885258624951, 0.0515252230130136, 0.06021849447861314, 0.04232011957714955, -0.0232426856427143, -0.04268287968744213, -0.13076385498585297, 0.11032523777956764, 0.26142080905071147, 0.20316268615579852, 0.2829895852009455, -0.4134296206757426, -0.1589767716638744, 0.09865951018407941, 0.14344198533178618, 0.18168285698319475, -0.061809835691625875, -0.22123350075135628, 0.14905350044912968, -0.26991819180858634, -0.015183073460745315, -0.10419563107192516, -0.009859932779024045, -0.022029769592142354, -0.28896767075484, 0.002319209091365337, 0.11793466712736214, 0.029647742589004336, 0.004981926306694125, -0.035955565815481046, 0.018417333680821078, 0.1359029221891736, -0.08381155385170132, 0.00649540283329164, 0.1268966143205762, -0.05992690570186823, -0.21217774954779695, 0.32904810309410093, 0.009116471314725155, -0.19827644024665156, 0.15213747101525465, -0.04426140082068741, -0.17535127753702304, 0.049587840288877486, 0.16112872315221466, 0.12169663537293672, -0.12323400497126083, 0.06907559336007883, -0.08258307429030537, 0.24383322027667115, 0.03647332256659865, 0.0423034804717948, 0.10044750886348387, 0.10443881476763636, 0.07461222531894843, 0.1446256979329822, -0.01236388365039602, -0.16301343704767834, -0.267665061224252, -0.18722384427053232, -0.1761512845242396, 0.08433330779448928, -0.05202153650461696, -0.12707589344587178, 0.3165590238198638, 0.22734440509113482, 0.16095982621889562, 0.10561193330213428, 0.38112420324236157, 0.031516433594903595, 0.06259900832703957, 0.17918877537362277, 0.23502948263039192, 0.07482271779173365, 0.1342585813254118, -0.1324929609025518, 0.16369576264172792, 0.045943677956820465] |
709.0493 | Suppression of conductance fluctuation in weakly disordered mesoscopic
graphene samples near the charge neutral point | We measured the conductance fluctuation of bi- and trilayer graphene devices
prepared on mechanical exfoliated graphene by an all-dry, lithography-free
process using an ultrathin quartz filament as a shadow mask. Reproducible
fluctuations in conductance as a function of applied gate voltage or magnetic
field were found. As the gate voltage was tuned so that the graphene device was
pushed to the charge neutral point, the amplitude of the conductance
fluctuation was found to be suppressed quickly from a value consistent with
universal conductance fluctuation when the devices were still well within
weakly disordered regime. The possible physical origins of the suppression are
discussed.
| cond-mat.mes-hall | we measured the conductance fluctuation of bi and trilayer graphene devices prepared on mechanical exfoliated graphene by an alldry lithographyfree process using an ultrathin quartz filament as a shadow mask reproducible fluctuations in conductance as a function of applied gate voltage or magnetic field were found as the gate voltage was tuned so that the graphene device was pushed to the charge neutral point the amplitude of the conductance fluctuation was found to be suppressed quickly from a value consistent with universal conductance fluctuation when the devices were still well within weakly disordered regime the possible physical origins of the suppression are discussed | [['we', 'measured', 'the', 'conductance', 'fluctuation', 'of', 'bi', 'and', 'trilayer', 'graphene', 'devices', 'prepared', 'on', 'mechanical', 'exfoliated', 'graphene', 'by', 'an', 'alldry', 'lithographyfree', 'process', 'using', 'an', 'ultrathin', 'quartz', 'filament', 'as', 'a', 'shadow', 'mask', 'reproducible', 'fluctuations', 'in', 'conductance', 'as', 'a', 'function', 'of', 'applied', 'gate', 'voltage', 'or', 'magnetic', 'field', 'were', 'found', 'as', 'the', 'gate', 'voltage', 'was', 'tuned', 'so', 'that', 'the', 'graphene', 'device', 'was', 'pushed', 'to', 'the', 'charge', 'neutral', 'point', 'the', 'amplitude', 'of', 'the', 'conductance', 'fluctuation', 'was', 'found', 'to', 'be', 'suppressed', 'quickly', 'from', 'a', 'value', 'consistent', 'with', 'universal', 'conductance', 'fluctuation', 'when', 'the', 'devices', 'were', 'still', 'well', 'within', 'weakly', 'disordered', 'regime', 'the', 'possible', 'physical', 'origins', 'of', 'the', 'suppression', 'are', 'discussed']] | [-0.1564833087512084, 0.2010123876030263, -0.045543106453655995, -0.0014771871528953021, 0.0203187472087521, -0.20138059208820602, 0.08145526631720643, 0.4059848823286231, -0.2838041730026163, -0.30678295116256743, 0.003299517605625527, -0.2997698809463278, -0.1501986379350888, 0.23797107822243665, -0.024170934252025, 0.07945477263549867, -0.026611967744685494, -0.048617131890530144, -0.02988483980738838, -0.20125769205997218, 0.22577323066296726, 0.0847533034619613, 0.34449641421907445, 0.07679645982977834, 0.028591213426869183, -0.038096697888002524, 0.10055296673683577, 0.10247232943990277, -0.11292828402282203, -0.015813053528511516, 0.226252923499187, -0.13334923988497518, 0.19453211678915378, -0.47246000619189255, -0.16989199340442937, -0.036343348863561754, 0.1384399422507697, 0.14712894894182682, -0.05538641464516737, -0.3000464856678855, 0.08031578162612701, -0.11186185746354241, -0.09576612658028998, -0.052221877138736175, 0.008951502604618017, -0.0057961626104938175, -0.22088480985457334, 0.09303323496856446, 0.008510188964756152, 0.062353861060454645, -0.044878567947872726, -0.12296739648367805, -0.116884177272633, 0.06980829301388546, 0.01311833552029481, 0.05683534458568953, 0.34543909316032545, -0.12298256086832075, -0.09329468197555471, 0.2913579912856221, -0.059661281050987613, -0.09028505381802548, 0.09641618898943138, -0.17252335721373702, 0.0056416555714694045, 0.136460791726244, 0.05746127228541933, 0.06705958784351045, -0.20270488954454918, 0.05749452843735429, 0.03492786566211471, 0.2130779067647205, 0.12103027998451686, 0.05238647212825932, 0.29259093426217697, 0.20889871096966373, 0.031604218882597866, 0.1933675976131039, -0.13637049561954168, 0.021219652308291276, -0.23146770044582562, -0.1437507130259883, -0.2100514685825526, 0.13925229403918193, -0.025789468128599218, -0.2430033856297581, 0.41733179562408657, 0.1548033180167374, 0.1980719383607067, -0.04806468583693167, 0.27440782947447695, 0.16052136345861426, 0.12779336970398944, -0.00613953017638725, 0.27827637494559787, 0.19243936977593354, 0.17054693745358765, -0.23693450956008605, 0.09832762285614345, -0.046895890155336954] |
709.0494 | Toward a Quantum theory of Gravity and a Resolution of the Time paradox | One of the major issues confronting theoretical physics is finding a quantum
theory of gravity and a resolution to the cosmological constant problem. It is
believed that a true quantum theory of gravity will lead to a solution to the
this problem. Finding a quantum theory of gravity has been a difficult issue
mainly because of the high energy scale required for testing quantum gravity
which is far the reach of current accelerators. Also general relativity does
not possess a natural time variable thus the nature of time is not clear in
quantum gravity, a problem called the time paradox. The two main approaches are
string theory and loop quantum gravity. String theory unifies all interaction
but provides a perturbative background dependent formulation which violates
general covariance. Loop quantum gravity provides a non-perturbative approach
but does not provide a unified theory of interactions, which most physicist
believe should be the case at Planck scale energies. It doesn't also seem to
connect with low energy phenomena.
In this note I look at how quantum cosmology provides useful inference toward
a quantum gravity theory by merging inputs from the perturbative and the
non-perturbative approaches, and resolving the time paradox issue.
| hep-th | one of the major issues confronting theoretical physics is finding a quantum theory of gravity and a resolution to the cosmological constant problem it is believed that a true quantum theory of gravity will lead to a solution to the this problem finding a quantum theory of gravity has been a difficult issue mainly because of the high energy scale required for testing quantum gravity which is far the reach of current accelerators also general relativity does not possess a natural time variable thus the nature of time is not clear in quantum gravity a problem called the time paradox the two main approaches are string theory and loop quantum gravity string theory unifies all interaction but provides a perturbative background dependent formulation which violates general covariance loop quantum gravity provides a nonperturbative approach but does not provide a unified theory of interactions which most physicist believe should be the case at planck scale energies it doesnt also seem to connect with low energy phenomena in this note i look at how quantum cosmology provides useful inference toward a quantum gravity theory by merging inputs from the perturbative and the nonperturbative approaches and resolving the time paradox issue | [['one', 'of', 'the', 'major', 'issues', 'confronting', 'theoretical', 'physics', 'is', 'finding', 'a', 'quantum', 'theory', 'of', 'gravity', 'and', 'a', 'resolution', 'to', 'the', 'cosmological', 'constant', 'problem', 'it', 'is', 'believed', 'that', 'a', 'true', 'quantum', 'theory', 'of', 'gravity', 'will', 'lead', 'to', 'a', 'solution', 'to', 'the', 'this', 'problem', 'finding', 'a', 'quantum', 'theory', 'of', 'gravity', 'has', 'been', 'a', 'difficult', 'issue', 'mainly', 'because', 'of', 'the', 'high', 'energy', 'scale', 'required', 'for', 'testing', 'quantum', 'gravity', 'which', 'is', 'far', 'the', 'reach', 'of', 'current', 'accelerators', 'also', 'general', 'relativity', 'does', 'not', 'possess', 'a', 'natural', 'time', 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709.0495 | Chaos in generalized Jaynes-Cummings model. Kinetic approach | In this work we study possibility of chaos formation in the dynamics governed
by paradigmatic model of Cavity Quantum Electrodynamics, the so called
James-Cammings model. In particular we consider generalized JC model. It is
shown that even in the case of zero detuning dynamics is chaotic. Kinetic
approach for the problem under study has been applied.
| nlin.CD | in this work we study possibility of chaos formation in the dynamics governed by paradigmatic model of cavity quantum electrodynamics the so called jamescammings model in particular we consider generalized jc model it is shown that even in the case of zero detuning dynamics is chaotic kinetic approach for the problem under study has been applied | [['in', 'this', 'work', 'we', 'study', 'possibility', 'of', 'chaos', 'formation', 'in', 'the', 'dynamics', 'governed', 'by', 'paradigmatic', 'model', 'of', 'cavity', 'quantum', 'electrodynamics', 'the', 'so', 'called', 'jamescammings', 'model', 'in', 'particular', 'we', 'consider', 'generalized', 'jc', 'model', 'it', 'is', 'shown', 'that', 'even', 'in', 'the', 'case', 'of', 'zero', 'detuning', 'dynamics', 'is', 'chaotic', 'kinetic', 'approach', 'for', 'the', 'problem', 'under', 'study', 'has', 'been', 'applied']] | [-0.14402386276686394, 0.14305847678333522, -0.06758834956721826, 0.05065737878268754, 0.026072940941561353, -0.1767507124014876, -0.023143407636830076, 0.33948372771794144, -0.2533543756654994, -0.2418372934176163, 0.029333317017352038, -0.21513876571235332, -0.25169855928556484, 0.21437660332515157, -0.02992462186481465, 0.0778365630614148, 0.019236211614175276, 0.03508236310021444, 0.026089279768480494, -0.21346690269102428, 0.3289385201748122, 0.051342466943473976, 0.315746168542484, 0.0435841748861342, 0.09277371091937477, -0.036177806005897845, 0.06584088609299876, 0.033004540848461064, -0.16798803063006332, 0.01885982953138988, 0.1745348634706302, 0.04762919847853482, 0.318630294688046, -0.420941433716904, -0.2866803931707347, 0.12851578335870395, 0.15841584967618638, 0.16241619138216432, -0.039450452527539294, -0.2431995930446481, 0.03991297736171295, -0.19163625978610732, -0.15957905148071322, -0.07137395438145508, 0.003224261917851188, -0.04204519757662307, -0.2275544346394864, 0.08551245585761287, 0.10259846845133738, 0.05578090599314733, -0.034520175291055985, 0.008117418676953423, 0.03344535753130913, 0.04039187053726478, 0.03074497925117612, -0.005122705896131017, 0.08368141757832333, -0.15286512564105745, -0.1158278897320005, 0.41068514868278394, -0.10147361228750511, -0.2337193168022416, 0.14162270031784746, -0.1650107980875129, -0.14852547190702436, 0.06449811549814925, 0.16418332415209574, 0.1320886365730654, -0.17124396464364094, 0.18004598686979575, -0.07372748867015946, 0.11617741787128828, 0.037090892327780074, -0.007922998671843247, 0.18224572392011232, 0.2390098879748786, 0.0337548567828807, 0.23376894992014224, -0.03876402038572864, -0.22387533722106706, -0.23998723871667277, -0.11586263474415649, -0.17917834008959208, 0.07438189751383933, 0.009204026794230396, -0.1313388852587774, 0.41707733840766276, 0.23607074665752323, 0.14555942185900428, -0.02944093325429342, 0.24795502945780754, 0.18302691880274902, 0.015343673391775652, 0.053213442658836194, 0.27791364126923407, 0.17312229657122358, 0.08445241637527942, -0.2767324406822974, 0.05660460404205051, 0.059192844412543556] |
709.0496 | Chaotic dynamics of two 1/2 spin-qubit system in the optical cavity | Spin systems are one of the most promising candidates for quantum
computation. At the same time control of a system's quantum state during time
evolution is one of the actual problems. It is usually considered that to hold
well-known resonance condition in magnetic resonance is sufficient to control
spin system. But because of nonlinearity of the system, obstructions of control
of system's quantum state may emerge.
In particular quantum dynamics of two 1/2 spin-qubit system in the optical
cavity is studied in this work. The problem under study is a generalization of
paradigmatic model for Cavity Quantum Electrodynamics of James-Cummings model
in case of interacting spins. In this work it is shown that dynamics is chaotic
when taking into account center-of-mass motion of the qubit and recoil effect.
And besides even in case of zero detuning chaotic dynamics emerges in the
system. It is also shown in this work that because of the chaotic dynamics the
system execute irreversible transition from pure quantum-mechanical state to
mixed one. Irreversibility in its turn is an obstacle for controlling state of
quantum-mechanical system.
| nlin.CD | spin systems are one of the most promising candidates for quantum computation at the same time control of a systems quantum state during time evolution is one of the actual problems it is usually considered that to hold wellknown resonance condition in magnetic resonance is sufficient to control spin system but because of nonlinearity of the system obstructions of control of systems quantum state may emerge in particular quantum dynamics of two 12 spinqubit system in the optical cavity is studied in this work the problem under study is a generalization of paradigmatic model for cavity quantum electrodynamics of jamescummings model in case of interacting spins in this work it is shown that dynamics is chaotic when taking into account centerofmass motion of the qubit and recoil effect and besides even in case of zero detuning chaotic dynamics emerges in the system it is also shown in this work that because of the chaotic dynamics the system execute irreversible transition from pure quantummechanical state to mixed one irreversibility in its turn is an obstacle for controlling state of quantummechanical system | [['spin', 'systems', 'are', 'one', 'of', 'the', 'most', 'promising', 'candidates', 'for', 'quantum', 'computation', 'at', 'the', 'same', 'time', 'control', 'of', 'a', 'systems', 'quantum', 'state', 'during', 'time', 'evolution', 'is', 'one', 'of', 'the', 'actual', 'problems', 'it', 'is', 'usually', 'considered', 'that', 'to', 'hold', 'wellknown', 'resonance', 'condition', 'in', 'magnetic', 'resonance', 'is', 'sufficient', 'to', 'control', 'spin', 'system', 'but', 'because', 'of', 'nonlinearity', 'of', 'the', 'system', 'obstructions', 'of', 'control', 'of', 'systems', 'quantum', 'state', 'may', 'emerge', 'in', 'particular', 'quantum', 'dynamics', 'of', 'two', '12', 'spinqubit', 'system', 'in', 'the', 'optical', 'cavity', 'is', 'studied', 'in', 'this', 'work', 'the', 'problem', 'under', 'study', 'is', 'a', 'generalization', 'of', 'paradigmatic', 'model', 'for', 'cavity', 'quantum', 'electrodynamics', 'of', 'jamescummings', 'model', 'in', 'case', 'of', 'interacting', 'spins', 'in', 'this', 'work', 'it', 'is', 'shown', 'that', 'dynamics', 'is', 'chaotic', 'when', 'taking', 'into', 'account', 'centerofmass', 'motion', 'of', 'the', 'qubit', 'and', 'recoil', 'effect', 'and', 'besides', 'even', 'in', 'case', 'of', 'zero', 'detuning', 'chaotic', 'dynamics', 'emerges', 'in', 'the', 'system', 'it', 'is', 'also', 'shown', 'in', 'this', 'work', 'that', 'because', 'of', 'the', 'chaotic', 'dynamics', 'the', 'system', 'execute', 'irreversible', 'transition', 'from', 'pure', 'quantummechanical', 'state', 'to', 'mixed', 'one', 'irreversibility', 'in', 'its', 'turn', 'is', 'an', 'obstacle', 'for', 'controlling', 'state', 'of', 'quantummechanical', 'system']] | [-0.17755210321323747, 0.1659410912420779, -0.0819231287066372, 0.025282227147732178, 0.0044578095070768, -0.18950449826466387, -0.008327700900090806, 0.3167323784996344, -0.2723628795925559, -0.27169374781842837, 0.08063775218643414, -0.2615776648367729, -0.13893375948185943, 0.23166622718088536, -0.028459032076409648, 0.08129845945230899, 0.06482439955914986, 0.06624489283584599, -0.0024678450813985235, -0.22099248260128254, 0.30900090492150667, 0.025971709315498574, 0.26441069996874134, 0.029979842598875203, 0.10927457208146846, -0.0016681638509867577, 0.11526175622318419, -0.011433953224218259, -0.04988901349828889, 0.0405274048283717, 0.23460463733105352, 0.06054581487135098, 0.27336327627030665, -0.429307157610798, -0.22483995165441747, 0.095081627965962, 0.15168204126546586, 0.18920249549682414, -0.017861143415325513, -0.2788769752541609, 0.034000118775553374, -0.1533538496873586, -0.13759970002906532, -0.06126398375185009, 0.04692054848452021, -0.05275795349783613, -0.23401019101937734, 0.09103785703259822, 0.12068365856890655, 0.04378327504153215, -0.08301879969807914, -0.015418185551999418, -0.006145150439720081, 0.12594269864035473, 0.0011999473969488503, 0.005659310615428999, 0.14389240202577214, -0.15920210623588185, -0.13704605691665628, 0.41194906517051616, -0.0175024942292015, -0.19791355651059298, 0.1801777190295329, -0.1748722587717312, -0.11362159061935007, 0.12108897312749801, 0.16380280815715273, 0.11419280473788024, -0.16783306371414444, 0.08465204870669098, 0.005892261472535866, 0.17115324166702242, 0.005475702989513481, 0.0881575899869828, 0.21224215862929155, 0.19750985428534823, 0.08844926078965128, 0.18138332536974766, -0.039597529776175845, -0.22016460602770055, -0.27613842715938475, -0.1773441308151993, -0.20876648917653748, 0.07403557561077802, -0.006321704954100128, -0.13884782845865903, 0.3940481063675697, 0.17395023480379648, 0.15371999706469436, -0.038503246449516804, 0.2821540571567108, 0.15788907774004762, 0.027002570921732062, 0.01986389387432777, 0.28786243560760383, 0.15693651323919522, 0.10871054937636386, -0.29626646957440855, 0.046434229263234574, 0.002692377112816249] |
709.0497 | Hard spectator interactions in B to pi pi at order alpha_s^2 | In the present thesis I discuss the hard spectator interaction amplitude in
$B\to\pi\pi$ at NLO i.e. at $\mathcal{O}(\alpha_s^2)$. This special part of the
amplitude, whose LO starts at $\mathcal{O}(\alpha_s)$, is defined in the
framework of QCD factorization. QCD factorization allows to separate the short-
and the long-distance physics in leading power in an expansion in $\lqcd/m_b$,
where the short-distance physics can be calculated in a perturbative expansion
in $\alpha_s$. Compared to other parts of the amplitude hard spectator
interactions are formally enhanced by the hard collinear scale $\sqrt{\lqcd
m_b}$, which occurs next to the $m_b$-scale and leads to an enhancement of
$\alpha_s$.
From a technical point of view the main challenges of this calculation are
due to the fact that we have to deal with Feynman integrals that come with up
to five external legs and with three independent ratios of scales. These
Feynman integrals have to be expanded in powers of $\lqcd/m_b$. I will discuss
integration by parts identities to reduce the number of master integrals and
differential equations techniques to get their power expansions. A concrete
implementation of integration by parts identities in a computer algebra system
is given in the appendix.
Finally I discuss numerical issues like scale dependence of the amplitudes
and branching ratios. It will turn out that the NLO contributions of the hard
spectator interactions are important but small enough for perturbation theory
to be valid
| hep-ph | in the present thesis i discuss the hard spectator interaction amplitude in btopipi at nlo ie at mathcaloalpha_s2 this special part of the amplitude whose lo starts at mathcaloalpha_s is defined in the framework of qcd factorization qcd factorization allows to separate the short and the longdistance physics in leading power in an expansion in lqcdm_b where the shortdistance physics can be calculated in a perturbative expansion in alpha_s compared to other parts of the amplitude hard spectator interactions are formally enhanced by the hard collinear scale sqrtlqcd m_b which occurs next to the m_bscale and leads to an enhancement of alpha_s from a technical point of view the main challenges of this calculation are due to the fact that we have to deal with feynman integrals that come with up to five external legs and with three independent ratios of scales these feynman integrals have to be expanded in powers of lqcdm_b i will discuss integration by parts identities to reduce the number of master integrals and differential equations techniques to get their power expansions a concrete implementation of integration by parts identities in a computer algebra system is given in the appendix finally i discuss numerical issues like scale dependence of the amplitudes and branching ratios it will turn out that the nlo contributions of the hard spectator interactions are important but small enough for perturbation theory to be valid | [['in', 'the', 'present', 'thesis', 'i', 'discuss', 'the', 'hard', 'spectator', 'interaction', 'amplitude', 'in', 'btopipi', 'at', 'nlo', 'ie', 'at', 'mathcaloalpha_s2', 'this', 'special', 'part', 'of', 'the', 'amplitude', 'whose', 'lo', 'starts', 'at', 'mathcaloalpha_s', 'is', 'defined', 'in', 'the', 'framework', 'of', 'qcd', 'factorization', 'qcd', 'factorization', 'allows', 'to', 'separate', 'the', 'short', 'and', 'the', 'longdistance', 'physics', 'in', 'leading', 'power', 'in', 'an', 'expansion', 'in', 'lqcdm_b', 'where', 'the', 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709.0498 | Enumeration formulas for Young tableaux in a diagonal strip | We derive combinatorial identities, involving the Bernoulli and Euler
numbers, for the numbers of standard Young tableaux of certain skew shapes.
This generalizes the classical formulas of D. Andre on the number of up-down
permutations. The analysis uses a transfer operator approach extending the
method of Elkies, combined with an identity expressing the volume of a certain
polytope in terms of a Schur function.
| math.CO | we derive combinatorial identities involving the bernoulli and euler numbers for the numbers of standard young tableaux of certain skew shapes this generalizes the classical formulas of d andre on the number of updown permutations the analysis uses a transfer operator approach extending the method of elkies combined with an identity expressing the volume of a certain polytope in terms of a schur function | [['we', 'derive', 'combinatorial', 'identities', 'involving', 'the', 'bernoulli', 'and', 'euler', 'numbers', 'for', 'the', 'numbers', 'of', 'standard', 'young', 'tableaux', 'of', 'certain', 'skew', 'shapes', 'this', 'generalizes', 'the', 'classical', 'formulas', 'of', 'd', 'andre', 'on', 'the', 'number', 'of', 'updown', 'permutations', 'the', 'analysis', 'uses', 'a', 'transfer', 'operator', 'approach', 'extending', 'the', 'method', 'of', 'elkies', 'combined', 'with', 'an', 'identity', 'expressing', 'the', 'volume', 'of', 'a', 'certain', 'polytope', 'in', 'terms', 'of', 'a', 'schur', 'function']] | [-0.16391490593741764, 0.08438359712658894, -0.11106565746013075, 0.08602310814421799, -0.09474590345053002, -0.09020114983286476, 0.06880582587837125, 0.23177405078604352, -0.31890711801315774, -0.3017824799462687, 0.0486216306744609, -0.21185139446970425, -0.1575003607722465, 0.20671609882629127, -0.13910491088495291, 0.04027769388630986, 0.03338000715302769, 0.04206639397307299, -0.1196760371038863, -0.2305991000321228, 0.3431128970114514, -0.03147443209309131, 0.21642258575593587, 0.029622185491462005, 0.11841514440311585, 0.06334416184108704, -0.0989534446853213, -0.027277911744022276, -0.11970726079016458, 0.18339196349552367, 0.165343435597606, 0.14807380540878512, 0.20887409686110914, -0.3650746936618816, -0.06811220525332828, 0.15993643557885662, 0.1454936973459553, 0.04635170781693887, -0.022121166659417213, -0.25617065973347053, 0.046990495022328105, -0.20108948654524283, -0.18892822141060606, -0.03863432000798639, 0.034951173060107976, 0.11989369461844035, -0.302923739713151, 0.04601518684648909, 0.09815625889314106, 0.13096339334879303, -0.0024326700513483956, -0.2222369519804488, 0.0534256997925695, 0.08233537075284403, 0.005580274882959202, -0.0021493753883987665, 0.05773766517268086, -0.13854932144386112, -0.1854697368980851, 0.34655387367820367, 0.020916138259053696, -0.27819891332183033, 0.0900503697921522, -0.16429107407748234, -0.15684702624275815, 0.1340490043621685, 0.07841420566546731, 0.17883856863772962, -0.05585285033157561, 0.11911560183852998, -0.2071008350176271, 0.061589650431415066, 0.18031702395819593, -0.02504970895824954, 0.12423939764266834, 0.05516999194514938, 0.024196648504585028, 0.24567538872634032, -0.029008105058892397, -0.10280376725131646, -0.3215595968067646, -0.18719346313446295, -0.17532997849411913, 0.08527520710958925, -0.18123522290238725, -0.23410111891280394, 0.39197033856180497, 0.0711068169284772, 0.18708825646535843, 0.16472233193780994, 0.23287126678042114, 0.13045182637870312, 0.10095075823483057, -0.021912928503297735, 0.04143004868819844, 0.2711176408811298, 0.07442361785797402, -0.1917113675008295, 0.0481755873261136, 0.26228724494285416] |
709.0499 | Scattering Models for Ultracold Atoms | We present a review of scattering models that can be used to describe the
low-energy behavior of identical bosonic atoms. In the simplest models, the
only degrees of freedom are atoms in the same spin state. More elaborate models
have other degrees of freedom, such as atoms in other spin states or diatomic
molecules. The parameters of the scattering models are specified by giving the
S-wave phase shifts for scattering of atoms in the spin state of primary
interest. The models are formulated as local quantum field theories and the
renormalization of their coupling constants is determined. Some of the
parameters can be constrained by renormalizability or by the absence of
negative-norm states. The Green's functions that describe the evolution of
two-atom states are determined analytically. They are used to determine the
T-matrix elements for atom-atom scattering and the binding energies of diatomic
molecules. The scattering models all exhibit universal behavior as the
scattering length in a specific spin state becomes large.
| cond-mat.other hep-ph nucl-th | we present a review of scattering models that can be used to describe the lowenergy behavior of identical bosonic atoms in the simplest models the only degrees of freedom are atoms in the same spin state more elaborate models have other degrees of freedom such as atoms in other spin states or diatomic molecules the parameters of the scattering models are specified by giving the swave phase shifts for scattering of atoms in the spin state of primary interest the models are formulated as local quantum field theories and the renormalization of their coupling constants is determined some of the parameters can be constrained by renormalizability or by the absence of negativenorm states the greens functions that describe the evolution of twoatom states are determined analytically they are used to determine the tmatrix elements for atomatom scattering and the binding energies of diatomic molecules the scattering models all exhibit universal behavior as the scattering length in a specific spin state becomes large | [['we', 'present', 'a', 'review', 'of', 'scattering', 'models', 'that', 'can', 'be', 'used', 'to', 'describe', 'the', 'lowenergy', 'behavior', 'of', 'identical', 'bosonic', 'atoms', 'in', 'the', 'simplest', 'models', 'the', 'only', 'degrees', 'of', 'freedom', 'are', 'atoms', 'in', 'the', 'same', 'spin', 'state', 'more', 'elaborate', 'models', 'have', 'other', 'degrees', 'of', 'freedom', 'such', 'as', 'atoms', 'in', 'other', 'spin', 'states', 'or', 'diatomic', 'molecules', 'the', 'parameters', 'of', 'the', 'scattering', 'models', 'are', 'specified', 'by', 'giving', 'the', 'swave', 'phase', 'shifts', 'for', 'scattering', 'of', 'atoms', 'in', 'the', 'spin', 'state', 'of', 'primary', 'interest', 'the', 'models', 'are', 'formulated', 'as', 'local', 'quantum', 'field', 'theories', 'and', 'the', 'renormalization', 'of', 'their', 'coupling', 'constants', 'is', 'determined', 'some', 'of', 'the', 'parameters', 'can', 'be', 'constrained', 'by', 'renormalizability', 'or', 'by', 'the', 'absence', 'of', 'negativenorm', 'states', 'the', 'greens', 'functions', 'that', 'describe', 'the', 'evolution', 'of', 'twoatom', 'states', 'are', 'determined', 'analytically', 'they', 'are', 'used', 'to', 'determine', 'the', 'tmatrix', 'elements', 'for', 'atomatom', 'scattering', 'and', 'the', 'binding', 'energies', 'of', 'diatomic', 'molecules', 'the', 'scattering', 'models', 'all', 'exhibit', 'universal', 'behavior', 'as', 'the', 'scattering', 'length', 'in', 'a', 'specific', 'spin', 'state', 'becomes', 'large']] | [-0.147598111458025, 0.2576840974068568, -0.0473133175070455, 0.06687887086903814, 0.009253502630824108, -0.14990323667276512, 0.005749665948067919, 0.35038179140767933, -0.258661257284176, -0.26356634881669355, 0.02150655647288479, -0.30432920488112114, -0.08687918191778554, 0.13620184585854503, 0.07026819183123241, 0.047253676799390416, 0.01308794612823813, 0.049589315197936454, -0.0759467543109987, -0.23394110284883668, 0.3222624669196429, 0.026098765182038654, 0.2182233127374432, 0.07579330240525765, 0.04380730342660329, 0.04357785781569503, 0.07923414899369725, -0.03177653389327504, -0.10771583025618586, 0.11830787115225878, 0.2668152550342015, 0.04734454919400131, 0.13895308376968274, -0.4718794223427037, -0.24675958848523874, 0.05892139284175901, 0.1586082589921806, 0.20426219405842094, 0.01414485885946721, -0.2806281805423629, -0.03825551865875353, -0.15558547850225385, -0.17906235252438044, -0.1343717517124282, 0.005937987341355809, 0.04770399868793004, -0.2280032128299713, 0.08178114281093449, 0.021267131121863646, 0.04922996674675816, -0.07741929771505113, -0.14529887065406383, -0.04904306723655742, 0.1266972834932802, 0.03668640082763392, -0.035113038348585916, 0.14278580977101407, -0.1916137378588089, -0.13183850931064053, 0.4153369833301339, -0.07583920632339554, -0.20878097226082945, 0.1859438212870126, -0.11178486353256395, -0.08284585017216518, 0.12568015678078626, 0.13995980789718207, 0.1505297443162604, -0.16892532765129467, 0.10910843308931677, -0.03171745154224796, 0.15932567673519737, 0.05702185069662565, 0.11747222657050983, 0.22404401899993787, 0.1065076097133167, -0.004995078657592796, 0.12796931477467655, -0.06763243275826773, -0.12074108996118109, -0.28854439883596367, -0.11641958150775517, -0.20471568421796998, 0.04620882108905295, -0.055297772256178886, -0.14203058514905012, 0.40113263709447633, 0.11852598447867534, 0.20811730040306295, -0.01101814339765244, 0.2220418924741723, 0.1609491461889393, 0.08461387320795315, 0.02162596200776781, 0.28969777282129794, 0.17333562551626797, -0.007123984847746697, -0.2893767784993498, 0.06770452911057222, 0.03571153465187016] |
709.05 | Pion Form Factor in Chiral Limit of Hard-Wall AdS/QCD Model | We develop a formalism to calculate form factor and charge density
distribution of pion in the chiral limit using the holographic dual model of
QCD with hard-wall cutoff. We introduce two conjugate pion wave functions and
present analytic expressions for these functions and for the pion form factor.
They allow to relate such observables as the pion decay constant and the pion
charge electric radius to the values of chiral condensate and hard-wall cutoff
scale. The evolution of the pion form factor to large values of the momentum
transfer is discussed, and results are compared to existing experimental data.
| hep-ph | we develop a formalism to calculate form factor and charge density distribution of pion in the chiral limit using the holographic dual model of qcd with hardwall cutoff we introduce two conjugate pion wave functions and present analytic expressions for these functions and for the pion form factor they allow to relate such observables as the pion decay constant and the pion charge electric radius to the values of chiral condensate and hardwall cutoff scale the evolution of the pion form factor to large values of the momentum transfer is discussed and results are compared to existing experimental data | [['we', 'develop', 'a', 'formalism', 'to', 'calculate', 'form', 'factor', 'and', 'charge', 'density', 'distribution', 'of', 'pion', 'in', 'the', 'chiral', 'limit', 'using', 'the', 'holographic', 'dual', 'model', 'of', 'qcd', 'with', 'hardwall', 'cutoff', 'we', 'introduce', 'two', 'conjugate', 'pion', 'wave', 'functions', 'and', 'present', 'analytic', 'expressions', 'for', 'these', 'functions', 'and', 'for', 'the', 'pion', 'form', 'factor', 'they', 'allow', 'to', 'relate', 'such', 'observables', 'as', 'the', 'pion', 'decay', 'constant', 'and', 'the', 'pion', 'charge', 'electric', 'radius', 'to', 'the', 'values', 'of', 'chiral', 'condensate', 'and', 'hardwall', 'cutoff', 'scale', 'the', 'evolution', 'of', 'the', 'pion', 'form', 'factor', 'to', 'large', 'values', 'of', 'the', 'momentum', 'transfer', 'is', 'discussed', 'and', 'results', 'are', 'compared', 'to', 'existing', 'experimental', 'data']] | [-0.08437705257992176, 0.19881335619103277, -0.10412084121219438, 0.11369768465337617, -0.05714090828868476, -0.08300744975691265, 0.03377439614827509, 0.3709102228773062, -0.15103214314075733, -0.2326939616239432, -0.0027692041611487063, -0.2998368367458684, -0.03619504319221684, 0.10512319801497565, 0.08269453792823385, 0.13742924818205834, -0.012403117565701555, 0.026970632099123162, -0.1291662794220346, -0.13430759028033024, 0.39495898217828285, 0.040264146430700115, 0.26165591107888353, 0.17717388556385882, 0.06340654798891546, 0.01058537026189945, -0.016860332678664814, -0.03924914141834685, -0.20047705084781606, 0.08970090553089223, 0.20933382960290395, 0.04236508629313021, 0.12001718226067647, -0.40060954286970873, -0.1717061900434959, 0.07359733445701575, 0.14442260798085668, 0.1277322352962625, -0.012146796344431362, -0.23697483579091955, 0.061311398143644884, -0.22719402927811247, -0.19361980921927502, -0.17512812519050908, 0.0023866563169944164, 0.026221369797683726, -0.3459878064682613, 0.11503186987506019, -0.051998183319363935, -0.007275162335259445, -0.08780364340378179, -0.20100538042195218, 0.04097915577909185, 0.10214419918360584, 0.12844349278932005, 0.09160199790082947, 0.2025369249585301, -0.18402508155659142, -0.0728304705422635, 0.3986594800959633, -0.08494081908150228, -0.22744719225047816, 0.09016417905763545, -0.19642297952727536, -0.045518194654523725, 0.10009082904405366, 0.1713663274516361, 0.07056064471941102, -0.14799828077619426, 0.06721836124485678, -0.02915962761008731, 0.161919983966991, 0.12191415309548528, 0.07682580003195037, 0.2073491079205967, 0.12123478716827289, -0.024157805641115915, 0.11944827087214123, -0.06230277388422477, -0.14374273114207417, -0.3664868472125193, -0.10230651746167845, -0.14694711096547167, 0.09143110451266767, -0.13515007303412674, -0.15994927401400424, 0.37055795329547664, 0.11811616946237558, 0.27465863444964694, 0.05931870685419952, 0.29096031106180614, 0.17571432507394652, 0.1260597829664634, 0.09114599704384954, 0.23445651628020586, 0.17744551257540783, 0.12664612528463506, -0.2668194430550993, -0.08944177052307159, 0.10135852754812198] |
709.0501 | Neutrino-Induced Gamma-Ray Emission from Supernovae | During a core-collapse supernova, absorption of anti-nu_e emitted from the
proto-neutron star by protons in the hydrogen envelope produces neutrons and
positrons. Neutron capture on protons and positron annihilation then produce
gamma rays of 2.22 and 0.511 MeV, respectively. We calculate the fluxes of
these gamma rays expected from a supernova with an 11 M_sun progenitor. The
flux from neutron capture on protons exponentially decays on a timescale of 564
s, which is determined by neutron decay and capture on protons and 3He nuclei.
The peak flux is 2.38x10^{-7}/cm^2/s for a supernova at a distance of 1 kpc. In
contrast, the gamma-ray flux from positron annihilation follows the time
evolution of the anti-nu_e luminosity and lasts for ~10 s. The peak flux in
this case is 6.8x10^{-5}/cm^2/s for a supernova at a distance of 1 kpc.
Detection of the above gamma-ray fluxes is beyond the capability of current
instruments, and perhaps even those planned for the near future. However, if
such fluxes can be detected, they not only constitute a new kind of signals
that occur during the gap of several hours between the neutrino signals and the
optical display of a supernova, but may also provide a useful probe of the
conditions in the surface layers of the supernova progenitor.
| astro-ph | during a corecollapse supernova absorption of antinu_e emitted from the protoneutron star by protons in the hydrogen envelope produces neutrons and positrons neutron capture on protons and positron annihilation then produce gamma rays of 222 and 0511 mev respectively we calculate the fluxes of these gamma rays expected from a supernova with an 11 m_sun progenitor the flux from neutron capture on protons exponentially decays on a timescale of 564 s which is determined by neutron decay and capture on protons and 3he nuclei the peak flux is 238x107cm2s for a supernova at a distance of 1 kpc in contrast the gammaray flux from positron annihilation follows the time evolution of the antinu_e luminosity and lasts for 10 s the peak flux in this case is 68x105cm2s for a supernova at a distance of 1 kpc detection of the above gammaray fluxes is beyond the capability of current instruments and perhaps even those planned for the near future however if such fluxes can be detected they not only constitute a new kind of signals that occur during the gap of several hours between the neutrino signals and the optical display of a supernova but may also provide a useful probe of the conditions in the surface layers of the supernova progenitor | [['during', 'a', 'corecollapse', 'supernova', 'absorption', 'of', 'antinu_e', 'emitted', 'from', 'the', 'protoneutron', 'star', 'by', 'protons', 'in', 'the', 'hydrogen', 'envelope', 'produces', 'neutrons', 'and', 'positrons', 'neutron', 'capture', 'on', 'protons', 'and', 'positron', 'annihilation', 'then', 'produce', 'gamma', 'rays', 'of', '222', 'and', '0511', 'mev', 'respectively', 'we', 'calculate', 'the', 'fluxes', 'of', 'these', 'gamma', 'rays', 'expected', 'from', 'a', 'supernova', 'with', 'an', '11', 'm_sun', 'progenitor', 'the', 'flux', 'from', 'neutron', 'capture', 'on', 'protons', 'exponentially', 'decays', 'on', 'a', 'timescale', 'of', '564', 's', 'which', 'is', 'determined', 'by', 'neutron', 'decay', 'and', 'capture', 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'also', 'provide', 'a', 'useful', 'probe', 'of', 'the', 'conditions', 'in', 'the', 'surface', 'layers', 'of', 'the', 'supernova', 'progenitor']] | [-0.035300247967198634, 0.20642198966076636, -0.03767470523501127, 0.15223734431137537, -0.04396863762162844, -0.06926937058398669, 0.06631722503829676, 0.37750645635346547, -0.2108439226820285, -0.31827344969761645, 0.015962206051154643, -0.34187915959533605, 0.05580025121712228, 0.2594026307749192, 0.03553009890714765, -0.06776978418845951, 0.11272883089927681, 0.02335602412366255, -0.09197405089889363, -0.19019745616855002, 0.28226283387365664, 0.11782703351487882, 0.16856623238006063, 0.06689822017415717, 0.07872379559167977, -0.08395002081596992, -0.03548025645752344, -0.09308785730393594, -0.09800041534910207, 0.029012559676926102, 0.2047637068858965, 0.1479930610854945, 0.12127109839130888, -0.4362672279548773, -0.24597482657857667, 0.14398208924382033, 0.1676024119837575, 0.02150871239504532, -0.05582563381232143, 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709.0502 | Anthropics and Myopics: Conditional Probabilities and the Cosmological
Constant | We re-examine claims that anthropic arguments provide an explanation for the
observed smallness of the cosmological constant, and argue that correlations
between the cosmological constant value and the existence of life can be
demonstrated only under restrictive assumptions. Causal effects are more subtle
to uncover.
| hep-th astro-ph gr-qc hep-ph | we reexamine claims that anthropic arguments provide an explanation for the observed smallness of the cosmological constant and argue that correlations between the cosmological constant value and the existence of life can be demonstrated only under restrictive assumptions causal effects are more subtle to uncover | [['we', 'reexamine', 'claims', 'that', 'anthropic', 'arguments', 'provide', 'an', 'explanation', 'for', 'the', 'observed', 'smallness', 'of', 'the', 'cosmological', 'constant', 'and', 'argue', 'that', 'correlations', 'between', 'the', 'cosmological', 'constant', 'value', 'and', 'the', 'existence', 'of', 'life', 'can', 'be', 'demonstrated', 'only', 'under', 'restrictive', 'assumptions', 'causal', 'effects', 'are', 'more', 'subtle', 'to', 'uncover']] | [-0.15915508564923786, 0.1130557431351109, -0.1199302130482263, 0.21180735578139623, -0.16793891655074225, -0.15573679013177752, 0.06851886591563622, 0.3424467535896434, -0.2122596076793141, -0.3354814721788797, 0.10346202026638719, -0.19284215066581964, -0.12866177318824662, 0.17446896272401016, -0.03281469612071911, -0.03876431015216642, 0.03267315472993586, -0.009331109834602103, -0.05821690694946382, -0.25004708973897827, 0.3808125723153353, 0.07445866581466463, 0.24574363289607895, 0.11387014179361156, 0.07403917987313535, -0.06802966464310885, -0.04427038815079464, 0.0237057964834902, -0.21367566092101495, 0.048629590848253836, 0.17460315738701157, 0.16042248234152795, 0.2907834000057644, -0.4668885335326195, -0.2710816306786405, 0.1614613593245546, 0.056811744771483874, 0.13260300283630688, -0.06202745315159619, -0.2747542757540941, 0.09638616451993584, -0.07579733533267345, -0.1613448864625146, -0.14135786688162222, 0.04782077529364162, -0.07667788242300351, -0.27145557022757, 0.15955912610774653, 0.04375032380016314, 0.030883739003911614, -0.07954434065743246, -0.09403372295200825, 0.01604029879801803, 0.056248977262940675, 0.20111766269223558, -0.07616415174884929, 0.11800675259696113, -0.10924445901893907, -0.11842516304718123, 0.38499288943906623, -0.06997076055655876, -0.18678873848790925, 0.16123365683274138, -0.1596979166691502, -0.1546826418178777, 0.031101475855232114, 0.07066403561168247, 0.057655736265910994, -0.1497326023152305, 0.07492741857293166, -0.05953517065693935, 0.21869734562933446, 0.09332947132902013, 0.08099458360423645, 0.24520589481625293, 0.10753673340918289, 0.05025607996309797, 0.0010414317845263415, -0.015051109509335624, -0.10042165937936968, -0.3751745612257057, -0.1129026886075735, -0.1420317466267281, 0.11453558610648745, -0.15669834585795697, -0.15141242881202036, 0.2620568266759316, 0.2558531380258501, 0.21179495737370518, 0.05584744382132259, 0.23263536654412748, 0.09006310684813393, 0.027768645404527583, 0.05551476082247164, 0.3567028947174549, 0.09633956249389383, 0.031014644897853334, -0.22178700701850984, 0.18841651210354435, -0.010657672791017427] |
709.0503 | Electrodynamics with an Infrared Scale and PVLAS experiment | We consider an infrared Lorentz violation in connection with recent results
of PVLAS experiment. Our analysis is based in a relation that can be
established, under certain conditions, between an axial-like-particle theory
and electrodynamics with an infrared scale. In the PVLAS case, the conditions
imply two dispersion relations such that the infrared scale $|\vec \theta|$,
the inverse axion-photon coupling constant $M^{-1}$ and the external magnetic
field ${\vec B}$ can be connected through the formula $|{\vec \theta}|= {|\vec
B|}/M$. Our analysis, which only requires a non-dynamical (auxiliar) axial-like
field leads to $|{\vec\theta}| \leq 5.4 \times 10^{-7}$ meV and $M^{-1} \sim
1.2 \times 10^{-3}$ GeV $^{-1}$.
| hep-ph gr-qc hep-th | we consider an infrared lorentz violation in connection with recent results of pvlas experiment our analysis is based in a relation that can be established under certain conditions between an axiallikeparticle theory and electrodynamics with an infrared scale in the pvlas case the conditions imply two dispersion relations such that the infrared scale vec theta the inverse axionphoton coupling constant m1 and the external magnetic field vec b can be connected through the formula vec theta vec bm our analysis which only requires a nondynamical auxiliar axiallike field leads to vectheta leq 54 times 107 mev and m1 sim 12 times 103 gev 1 | [['we', 'consider', 'an', 'infrared', 'lorentz', 'violation', 'in', 'connection', 'with', 'recent', 'results', 'of', 'pvlas', 'experiment', 'our', 'analysis', 'is', 'based', 'in', 'a', 'relation', 'that', 'can', 'be', 'established', 'under', 'certain', 'conditions', 'between', 'an', 'axiallikeparticle', 'theory', 'and', 'electrodynamics', 'with', 'an', 'infrared', 'scale', 'in', 'the', 'pvlas', 'case', 'the', 'conditions', 'imply', 'two', 'dispersion', 'relations', 'such', 'that', 'the', 'infrared', 'scale', 'vec', 'theta', 'the', 'inverse', 'axionphoton', 'coupling', 'constant', 'm1', 'and', 'the', 'external', 'magnetic', 'field', 'vec', 'b', 'can', 'be', 'connected', 'through', 'the', 'formula', 'vec', 'theta', 'vec', 'bm', 'our', 'analysis', 'which', 'only', 'requires', 'a', 'nondynamical', 'auxiliar', 'axiallike', 'field', 'leads', 'to', 'vectheta', 'leq', '54', 'times', '107', 'mev', 'and', 'm1', 'sim', '12', 'times', '103', 'gev', '1']] | [-0.1907070340290304, 0.22646040552975588, -0.03502449728729366, 0.03169830111465733, -0.07336188348160505, -0.10885500441784564, 0.012387852033021526, 0.3438724452828609, -0.20632574314848312, -0.31676788265518485, 0.05603443287896191, -0.24554288484951825, -0.10524906091464376, 0.19034027473015475, 0.010642564932372674, -0.002413836077253506, -0.02250322977135193, 0.029448494082316756, -0.08338060392772109, -0.17283468702762814, 0.25214686871786574, 0.029037475333892677, 0.2593380446789913, 0.07616847643156274, 0.0779454828086264, -0.01480013059759603, 0.03831282989076764, -0.02497782898180693, -0.14965309676992847, 0.01289471380810425, 0.17860373792699674, 0.0666413807029863, 0.19046477823929625, -0.39289769290684207, -0.1315065392030819, 0.10025215077494244, 0.09260025176952041, -0.0012416595494763438, -0.015143112152887201, -0.29745017589087985, 0.0750161433768757, -0.14303781976923347, -0.14342107705645335, -0.04371074270863918, 0.06229308218857979, -0.041331294661803734, -0.3781955280133243, 0.1082325612773522, 0.01833269023562519, 0.061416778898825054, -0.05677915590553029, -0.1270828908987488, 0.04188505280310813, 0.029055211168614405, 0.11212577350840008, 0.17101105697706198, 0.12385556449914731, -0.1275541296497765, -0.08711478946102078, 0.36578759967430846, -0.10821295405729013, -0.16245375085284128, 0.11909789644245022, -0.16475398745387793, -0.13213955168725325, 0.11062957128867036, 0.08009946458855445, 0.10773050696905521, -0.12724748619343831, 0.16761008832090563, -0.05922553861893497, 0.20371413008689662, 0.08903068183803732, 0.02845980000944392, 0.16264480096061976, 0.07384028811306123, 0.0515149392558316, 0.028288476675459483, -0.12680499255205097, -0.03310349950051496, -0.37046056891818646, -0.11348487140194884, -0.12957458540761066, 0.17147421728575477, -0.16525808365937, -0.03501954274161637, 0.2953877272898132, 0.1550751941468458, 0.22850251454606796, 0.014195424270617225, 0.23165176567413565, 0.14118796446726847, 0.08383504359686783, 0.09280446042912532, 0.3073481751415987, 0.18038320604675603, 0.08288200701885287, -0.22479642719229304, -0.06243566544251788, 0.03622677345371362] |
709.0504 | S-duality in hyperkaehler Hodge theory | Here we survey questions and results on the Hodge theory of hyperkaehler
quotients, motivated by certain S-duality considerations in string theory. The
problems include L^2 harmonic forms, Betti numbers and mixed Hodge structures
on the moduli spaces of Yang-Mills instantons on ALE gravitational instantons,
magnetic monopoles on R^3 and Higgs bundles on a Riemann surface. Several of
these spaces and their hyperkaehler metrics were constructed by Nigel Hitchin
and his collaborators.
| math.AG hep-th math-ph math.DG math.MP | here we survey questions and results on the hodge theory of hyperkaehler quotients motivated by certain sduality considerations in string theory the problems include l2 harmonic forms betti numbers and mixed hodge structures on the moduli spaces of yangmills instantons on ale gravitational instantons magnetic monopoles on r3 and higgs bundles on a riemann surface several of these spaces and their hyperkaehler metrics were constructed by nigel hitchin and his collaborators | [['here', 'we', 'survey', 'questions', 'and', 'results', 'on', 'the', 'hodge', 'theory', 'of', 'hyperkaehler', 'quotients', 'motivated', 'by', 'certain', 'sduality', 'considerations', 'in', 'string', 'theory', 'the', 'problems', 'include', 'l2', 'harmonic', 'forms', 'betti', 'numbers', 'and', 'mixed', 'hodge', 'structures', 'on', 'the', 'moduli', 'spaces', 'of', 'yangmills', 'instantons', 'on', 'ale', 'gravitational', 'instantons', 'magnetic', 'monopoles', 'on', 'r3', 'and', 'higgs', 'bundles', 'on', 'a', 'riemann', 'surface', 'several', 'of', 'these', 'spaces', 'and', 'their', 'hyperkaehler', 'metrics', 'were', 'constructed', 'by', 'nigel', 'hitchin', 'and', 'his', 'collaborators']] | [-0.20842900102249753, 0.14256835888503908, -0.0936290015873145, 0.19862620755669358, -0.13378190624357109, -0.08157289734529988, -0.011867633840383989, 0.3209788411540884, -0.20518944991595098, -0.24011654785873604, 0.14409651001095508, -0.24639955270563213, -0.2476399830922904, 0.19645239487552726, -0.20283410683090627, 0.04596830786428821, 0.031197161800687163, 0.015167453903442537, -0.08166110397539508, -0.4019391785939814, 0.5061586328821492, -0.03871830161267393, 0.23186653312689193, 0.10712872225214058, 0.08412361210605628, -0.03969066854300712, -0.06283499047317555, -0.0430523513514601, -0.19073144952491136, 0.20203273269859418, 0.25166260419597086, 0.03792815145865922, 0.10810282826423645, -0.48044657917089867, -0.20438249691218977, 0.11882747531356946, 0.07747572436141716, 0.019751925926498125, 0.019494697190886756, -0.36904196323118577, 0.027886203759100656, -0.08051919626255691, -0.14736957193522807, -0.15078037668963973, 0.013602019136797793, 0.03446406772045393, -0.11476040600051343, -0.034621778206611185, -0.007866889789280757, 0.1321369167384495, -0.1721853123007106, -0.14005013195220645, -0.13933197329555388, -0.015289289660384538, 0.10350879683146175, 0.06514031327867383, 0.117480720622911, -0.14281386447148922, -0.1873717168739564, 0.3449154371841693, -0.053454481222679914, -0.25423207721331903, 0.08394544443745218, -0.09815830347770957, -0.19674634471253663, 0.0706656362195696, 0.10906466987954688, 0.24514454632053073, 0.07760009854297403, 0.23327260238403769, -0.08238637384394525, 0.05156446245669479, 0.17995206845110992, -0.01568877508103008, 0.22494436819171926, 0.06093844123394557, 0.01829780537215337, 0.06230644960756558, 0.001968054884624943, -0.1070183546980843, -0.4028798444327754, -0.17656183492025018, -0.10186971899476165, 0.18167511478696072, -0.14160857252464268, -0.17538044762036856, 0.3449873398976322, -0.040083182031210036, 0.13669257309668187, 0.10906153572329753, 0.17800942341416653, -0.05328659718351202, 0.050788364133758236, -0.03017180668793514, 0.19696276826442968, 0.3050032682343006, 0.07069343365204166, -0.1487347187718678, -0.18353268176376242, 0.31915347145634215] |
709.0505 | On the Distance to the Ophiuchus Star-Forming Region | The Ophiuchus molecular cloud complex has produced in Lynds 1688 the richest
known embedded cluster within ~300 pc of the Sun. Unfortunately, distance
estimates to the Oph complex vary by nearly ~40% (~120-165 pc). Here I
calculate a new independent distance estimate of 135 +- 8 pc to this benchmark
star-forming region based on Hipparcos trigonometric parallaxes to stars
illuminating reflection nebulosity in close proximity to Lynds 1688. Combining
this value with recent distance estimates from reddening studies suggests a
consensus distance of 139 +- 6 pc (4% error), situating it within ~11 pc of the
centroid of the ~5 Myr old Upper Sco OB subgroup of Sco OB2 (145 pc). The
velocity vectors for Oph and Upper Sco are statistically indistinguishable
within ~1 km/s in each vector component. Both Oph and Upper Sco have negligible
motion (<1 km/s) in the Galactic vertical direction with respect to the Local
Standard of Rest, which is inconsistent with the young stellar groups having
formed via the high velocity cloud impact scenario.
| astro-ph | the ophiuchus molecular cloud complex has produced in lynds 1688 the richest known embedded cluster within 300 pc of the sun unfortunately distance estimates to the oph complex vary by nearly 40 120165 pc here i calculate a new independent distance estimate of 135 8 pc to this benchmark starforming region based on hipparcos trigonometric parallaxes to stars illuminating reflection nebulosity in close proximity to lynds 1688 combining this value with recent distance estimates from reddening studies suggests a consensus distance of 139 6 pc 4 error situating it within 11 pc of the centroid of the 5 myr old upper sco ob subgroup of sco ob2 145 pc the velocity vectors for oph and upper sco are statistically indistinguishable within 1 kms in each vector component both oph and upper sco have negligible motion 1 kms in the galactic vertical direction with respect to the local standard of rest which is inconsistent with the young stellar groups having formed via the high velocity cloud impact scenario | [['the', 'ophiuchus', 'molecular', 'cloud', 'complex', 'has', 'produced', 'in', 'lynds', '1688', 'the', 'richest', 'known', 'embedded', 'cluster', 'within', '300', 'pc', 'of', 'the', 'sun', 'unfortunately', 'distance', 'estimates', 'to', 'the', 'oph', 'complex', 'vary', 'by', 'nearly', '40', '120165', 'pc', 'here', 'i', 'calculate', 'a', 'new', 'independent', 'distance', 'estimate', 'of', '135', '8', 'pc', 'to', 'this', 'benchmark', 'starforming', 'region', 'based', 'on', 'hipparcos', 'trigonometric', 'parallaxes', 'to', 'stars', 'illuminating', 'reflection', 'nebulosity', 'in', 'close', 'proximity', 'to', 'lynds', '1688', 'combining', 'this', 'value', 'with', 'recent', 'distance', 'estimates', 'from', 'reddening', 'studies', 'suggests', 'a', 'consensus', 'distance', 'of', '139', '6', 'pc', '4', 'error', 'situating', 'it', 'within', '11', 'pc', 'of', 'the', 'centroid', 'of', 'the', '5', 'myr', 'old', 'upper', 'sco', 'ob', 'subgroup', 'of', 'sco', 'ob2', '145', 'pc', 'the', 'velocity', 'vectors', 'for', 'oph', 'and', 'upper', 'sco', 'are', 'statistically', 'indistinguishable', 'within', '1', 'kms', 'in', 'each', 'vector', 'component', 'both', 'oph', 'and', 'upper', 'sco', 'have', 'negligible', 'motion', '1', 'kms', 'in', 'the', 'galactic', 'vertical', 'direction', 'with', 'respect', 'to', 'the', 'local', 'standard', 'of', 'rest', 'which', 'is', 'inconsistent', 'with', 'the', 'young', 'stellar', 'groups', 'having', 'formed', 'via', 'the', 'high', 'velocity', 'cloud', 'impact', 'scenario']] | [-0.07958778972085008, 0.09056575053990512, -0.04336479521458648, 0.029080803423121707, -0.09335200595641564, -0.10297743132453646, 0.1274517533609164, 0.4201909711829827, -0.21223113366854404, -0.3556940068932066, 0.04011172649846552, -0.2815662960244432, 0.01712393902714816, 0.1705759528014965, -0.050603539434932225, -0.04504837850554885, 0.09739475552003808, 0.002951873220994087, -0.06242564187000344, -0.23507703296159824, 0.23931823178573686, 0.04497920194484606, 0.09828827387867997, -0.044028976332663956, 0.0500006671983771, -0.14090570666608374, -0.06179709886312262, -0.0823459323763312, -0.15085711362938994, 0.1302255235143943, 0.18099936209674813, 0.09761130780675749, 0.22701967667793843, -0.2699686536610037, -0.1796288196015601, 0.028698950858848046, 0.23818447860480638, -0.07130541193332456, -0.0051256263479423116, -0.33598147459818933, 0.1317971402940948, -0.18668560807531823, -0.21480686716389602, 0.15468934496647183, 0.1418504054465716, 0.019612248618891853, -0.18174687153129968, 0.192756892874151, -0.062004468549101494, 0.1770050434214774, -0.14510119917473482, -0.20102501890906496, -0.0032319051288849042, 0.07504182767044909, -0.02153183791220389, 0.191661470076125, 0.18179481146678686, -0.08028378645878308, -0.03731142092791726, 0.4055324137841022, -0.08072542671802939, -0.03175205082725315, 0.25298363880622393, -0.20582453354434696, -0.17623092468080673, 0.15536915093191905, 0.1383935046287443, 0.1067493158576642, -0.18464368030228123, 0.018714089263760357, -0.05683916003560413, 0.23307676132333405, 0.08485044804011321, 0.050300762447679115, 0.24634251186992237, 0.07218321555567359, 0.042725672350058745, 0.08582384552120671, -0.3192404591447735, -0.12121643110395905, -0.20791807001760554, -0.09784108367302416, -0.1258245337064187, 0.08267484631871772, -0.2165482227851199, -0.1166614571427313, 0.26650853834287846, 0.10617416309650073, 0.22110045644303736, 0.026686468499734953, 0.2721772077772209, 0.04648621234217447, 0.12821127756772016, 0.228412415006351, 0.3228310562271491, 0.23456104934176508, 0.04929672438417099, -0.1578310965305936, 0.06637055583334456, 0.010680158457350722] |
709.0506 | The Mass Of The Coma Cluster From Weak Lensing In The Sloan Digital Sky
Survey | We present a weak lensing analysis of the Coma Cluster using the Sloan
Digital Sky Survey (SDSS) Data Release Five. Complete imaging of a ~ 200 square
degree region is used to measure the tangential shear of this cluster. The
shear is fit to an NFW model and we find a virial radius of
r_{200}=1.99_{-0.22}^{+0.21}h^{-1}Mpc which corresponds to a virial mass of
M_{200}=1.88_{-0.56}^{+0.65}\times10^{15}h^{-1}M_{\odot}. We additionally
compare our weak lensing measurement to the virial mass derived using dynamical
techniques, and find they are in agreement. This is the lowest redshift,
largest angle weak lensing measurement of an individual cluster to date.
| astro-ph | we present a weak lensing analysis of the coma cluster using the sloan digital sky survey sdss data release five complete imaging of a 200 square degree region is used to measure the tangential shear of this cluster the shear is fit to an nfw model and we find a virial radius of r_200199_022021h1mpc which corresponds to a virial mass of m_200188_056065times1015h1m_odot we additionally compare our weak lensing measurement to the virial mass derived using dynamical techniques and find they are in agreement this is the lowest redshift largest angle weak lensing measurement of an individual cluster to date | [['we', 'present', 'a', 'weak', 'lensing', 'analysis', 'of', 'the', 'coma', 'cluster', 'using', 'the', 'sloan', 'digital', 'sky', 'survey', 'sdss', 'data', 'release', 'five', 'complete', 'imaging', 'of', 'a', '200', 'square', 'degree', 'region', 'is', 'used', 'to', 'measure', 'the', 'tangential', 'shear', 'of', 'this', 'cluster', 'the', 'shear', 'is', 'fit', 'to', 'an', 'nfw', 'model', 'and', 'we', 'find', 'a', 'virial', 'radius', 'of', 'r_200199_022021h1mpc', 'which', 'corresponds', 'to', 'a', 'virial', 'mass', 'of', 'm_200188_056065times1015h1m_odot', 'we', 'additionally', 'compare', 'our', 'weak', 'lensing', 'measurement', 'to', 'the', 'virial', 'mass', 'derived', 'using', 'dynamical', 'techniques', 'and', 'find', 'they', 'are', 'in', 'agreement', 'this', 'is', 'the', 'lowest', 'redshift', 'largest', 'angle', 'weak', 'lensing', 'measurement', 'of', 'an', 'individual', 'cluster', 'to', 'date']] | [-0.09316038696056943, 0.00577248538605456, -0.10045269884399533, 0.08726143697396727, -0.11436383686383668, -0.011047782257592939, 0.02037830240592437, 0.36476963981217947, -0.22615208204105958, -0.31778358525030087, 0.0792561393584, -0.32488776347839954, -0.017136077026922984, 0.21041433680946603, 0.018787321718301643, 0.016874929371118286, 0.045742886568198804, -0.012645620603075962, -0.08356823662242531, -0.30138728585929525, 0.29920217599335713, 0.07607712612016913, 0.24076443627361477, -0.03198230456436034, 0.1008915634136935, -0.019072714607356135, -0.11316166865668192, 0.06473822036959692, -0.24740200722110026, 0.06427413359591641, 0.18287248553986632, 0.10857265922672969, 0.2320663727047018, -0.24549988384560212, -0.12260530609637499, 0.11003067253215104, 0.17180710227814378, 0.13633729341156667, -0.04232003204476511, -0.29198779172225636, 0.10458532562143333, -0.21930940128210571, -0.18982266971947068, -0.009192048370377305, -0.011912117450565253, 0.06019575153141446, -0.25808813284540105, 0.24977551917209453, -0.023141982090556228, 0.08465279305603393, -0.09203474509731396, -0.07820371614250633, -0.04571204818545159, 0.1186758621125338, -0.029982042152040936, 0.07657086852093026, 0.1944790238456935, -0.1312890357299487, 0.011767177938570067, 0.4135017582628223, -0.064324552360106, -0.02931581919811205, 0.1622566343405159, -0.19460343040487507, -0.16768780863872662, 0.08871475413331244, 0.17702447141031014, 0.05196318456653467, -0.23613349061228872, 0.022080663772847158, -0.049775012851615924, 0.28579130146614057, 0.04716786430649383, -0.029299507820789737, 0.2753172560412552, 0.09919482187281564, 0.12123764923668091, 0.12221148760794882, -0.2635115732549277, -0.014500660298526594, -0.27538013218700425, -0.06743038178315942, -0.17202523662756705, 0.05472206003776723, -0.14626612227149643, -0.16999695290686542, 0.3230676963618121, 0.13460707844033376, 0.21403135736616924, 0.1099806119959091, 0.34393782464345707, 0.08194594000125323, 0.10581590900720894, 0.007302430917427289, 0.38888655666900396, 0.22454926776747727, 0.07771146847487226, -0.18595016144153653, -0.024094039171012407, 0.022553656108619778] |
709.0507 | Near Tribimaximal Neutrino Mixing with Delta(27) Symmetry | The discrete subgroup Delta(27) of SU(3) has the interesting multiplication
rule 3 X 3 = bar{3} + bar{3} + bar{3}, which is used to obtain near
tribimaximal neutrino mixing. Using present neutrino oscillation data as input,
this model predicts that the effective mass m_{ee} measured in neutrinoless
double beta decay will be 0.14 eV.
| hep-ph | the discrete subgroup delta27 of su3 has the interesting multiplication rule 3 x 3 bar3 bar3 bar3 which is used to obtain near tribimaximal neutrino mixing using present neutrino oscillation data as input this model predicts that the effective mass m_ee measured in neutrinoless double beta decay will be 014 ev | [['the', 'discrete', 'subgroup', 'delta27', 'of', 'su3', 'has', 'the', 'interesting', 'multiplication', 'rule', '3', 'x', '3', 'bar3', 'bar3', 'bar3', 'which', 'is', 'used', 'to', 'obtain', 'near', 'tribimaximal', 'neutrino', 'mixing', 'using', 'present', 'neutrino', 'oscillation', 'data', 'as', 'input', 'this', 'model', 'predicts', 'that', 'the', 'effective', 'mass', 'm_ee', 'measured', 'in', 'neutrinoless', 'double', 'beta', 'decay', 'will', 'be', '014', 'ev']] | [-0.06827897527346424, 0.285865862123376, -0.019423224141492564, 0.19036548628526576, -0.0567135787295068, -0.2292089454610558, 0.09337478998464112, 0.35792038662760867, -0.24847089325753496, -0.29880790879913405, 0.07164603698879991, -0.2745450264999675, -0.03601320201129306, 0.1329707509664563, 0.03170040031602862, 0.01707424661692451, 0.018351947181109413, 0.06362203410004869, -0.1396051957774177, -0.1827700430819509, 0.210528475867, 0.04479403140059873, 0.2255440438348873, 0.015598261874972605, 0.05736351914603409, -0.06213249105448816, -0.010031015831319726, -0.22520342034598193, -0.1433839028224397, 0.0024843347057992337, 0.22313225811219536, 0.0756748157973383, 0.031646494087123986, -0.2590230856748188, -0.10609015619710964, 0.18436506492834465, 0.21788208812986518, -0.021667912559054207, -0.11061715898925767, -0.30265791597319586, 0.09254017848448426, -0.2447979800476163, -0.14969173830696472, -0.08011384852522728, 0.001066111525812862, -0.10430748026598902, -0.40228061947752447, 0.12895022062116815, -0.07818677367679044, -0.019527795304562532, 0.023712391435515647, -0.27284296087044124, -0.025605841923285935, 0.06465470851125087, 0.13137569297881177, 0.058673107083521636, 0.13370418002573298, -0.05138706422739608, -0.10665781370491959, 0.4420039621638317, -0.09763255159315817, -0.10595268182748672, -0.02773850078822351, -0.1955419780649975, -0.15692786927170613, 0.16342205959646142, 0.10879868024266233, 0.0379258086630965, -0.14750552540827616, 0.1768084206326189, -0.14834505835474998, 0.21190837589001246, 0.06964883622804693, -0.01218322806936853, 0.22126545205566228, 0.24169045406868497, 0.06937831039449163, -0.07171525056108687, -0.15295196956653587, 0.04283115366364226, -0.3711948106978454, -0.07463508267320838, -0.0793047112357967, 0.17096772555298373, -0.11163992527872324, -0.1235633406733327, 0.3881393104207282, 0.07660710417172488, 0.1629444827489993, 0.02914152016598439, 0.19931116470080965, 0.09776935180165239, 0.10874285110655953, 0.001588762819986133, 0.2733415529387547, 0.20639184796634844, 0.06842353229648342, -0.26460077453806413, -0.02936518518254161, 0.1272258172633455] |
709.0508 | Effective shell model Hamiltonians from density functional theory:
quadrupolar and pairing correlations | We describe a procedure for mapping a self-consistent mean-field theory (also
known as density functional theory) into a shell model Hamiltonian that
includes quadrupole-quadrupole and monopole pairing interactions in a truncated
space. We test our method in the deformed N=Z sd-shell nuclei Ne-20, Mg-24 and
Ar-36, starting from the Hartree-Fock plus BCS approximation of the USD shell
model interaction. A similar procedure is then followed using the SLy4 Skyrme
energy density functional in the particle-hole channel plus a zero-range
density-dependent force in the pairing channel. Using the ground-state solution
of this density functional theory at the Hartree-Fock plus BCS level, an
effective shell model Hamiltonian is constructed. We use this mapped
Hamiltonian to extract quadrupolar and pairing correlation energies beyond the
mean field approximation. The rescaling of the mass quadrupole operator in the
truncated shell model space is found to be almost independent of the coupling
strength used in the pairing channel of the underlying mean-field theory.
| nucl-th | we describe a procedure for mapping a selfconsistent meanfield theory also known as density functional theory into a shell model hamiltonian that includes quadrupolequadrupole and monopole pairing interactions in a truncated space we test our method in the deformed nz sdshell nuclei ne20 mg24 and ar36 starting from the hartreefock plus bcs approximation of the usd shell model interaction a similar procedure is then followed using the sly4 skyrme energy density functional in the particlehole channel plus a zerorange densitydependent force in the pairing channel using the groundstate solution of this density functional theory at the hartreefock plus bcs level an effective shell model hamiltonian is constructed we use this mapped hamiltonian to extract quadrupolar and pairing correlation energies beyond the mean field approximation the rescaling of the mass quadrupole operator in the truncated shell model space is found to be almost independent of the coupling strength used in the pairing channel of the underlying meanfield theory | [['we', 'describe', 'a', 'procedure', 'for', 'mapping', 'a', 'selfconsistent', 'meanfield', 'theory', 'also', 'known', 'as', 'density', 'functional', 'theory', 'into', 'a', 'shell', 'model', 'hamiltonian', 'that', 'includes', 'quadrupolequadrupole', 'and', 'monopole', 'pairing', 'interactions', 'in', 'a', 'truncated', 'space', 'we', 'test', 'our', 'method', 'in', 'the', 'deformed', 'nz', 'sdshell', 'nuclei', 'ne20', 'mg24', 'and', 'ar36', 'starting', 'from', 'the', 'hartreefock', 'plus', 'bcs', 'approximation', 'of', 'the', 'usd', 'shell', 'model', 'interaction', 'a', 'similar', 'procedure', 'is', 'then', 'followed', 'using', 'the', 'sly4', 'skyrme', 'energy', 'density', 'functional', 'in', 'the', 'particlehole', 'channel', 'plus', 'a', 'zerorange', 'densitydependent', 'force', 'in', 'the', 'pairing', 'channel', 'using', 'the', 'groundstate', 'solution', 'of', 'this', 'density', 'functional', 'theory', 'at', 'the', 'hartreefock', 'plus', 'bcs', 'level', 'an', 'effective', 'shell', 'model', 'hamiltonian', 'is', 'constructed', 'we', 'use', 'this', 'mapped', 'hamiltonian', 'to', 'extract', 'quadrupolar', 'and', 'pairing', 'correlation', 'energies', 'beyond', 'the', 'mean', 'field', 'approximation', 'the', 'rescaling', 'of', 'the', 'mass', 'quadrupole', 'operator', 'in', 'the', 'truncated', 'shell', 'model', 'space', 'is', 'found', 'to', 'be', 'almost', 'independent', 'of', 'the', 'coupling', 'strength', 'used', 'in', 'the', 'pairing', 'channel', 'of', 'the', 'underlying', 'meanfield', 'theory']] | [-0.1036318386785495, 0.10442660398602573, -0.1438035718422795, 0.170052589918039, 0.012336653803522961, -0.13667069271039695, 0.056961645312511765, 0.3199996405090086, -0.22352154675620392, -0.26378303810876486, -0.08152926001453008, -0.2864018539324976, -0.10338576583084293, 0.04399261319747147, 0.08498432469637826, -0.0012947130016982555, -0.0129124506119973, 0.05919018367496438, -0.1431363790284078, -0.157963808434896, 0.32867057668045163, 0.07119206370463452, 0.23877543236654347, 0.03688084918674296, 0.0433945717358699, 0.08065846038152813, 0.06820217276720378, 0.012587138039331572, -0.14080506146055063, 0.07799470307341275, 0.21779060242018508, -0.003088929225925359, 0.23983398790901098, -0.45760586030052924, -0.226296967049189, 0.02677819530482595, 0.14508748850009093, 0.1897376487747981, -0.008075891562606184, -0.3105840285231049, -0.02426896845617403, -0.3158355712165268, -0.19522881875626552, -0.12216014843672895, -0.02327878873732586, 0.027793386264537007, -0.2861598269440807, 0.1263935325897854, 0.004258688467626388, 0.03689157007447181, -0.16222772726532406, -0.16130789052336836, -0.04031493054637208, 0.044489611740200184, 0.06616075693604309, 0.09977393707903012, 0.1490914633658786, -0.1077139439413515, -0.008548085946061362, 0.3643377779577023, -0.08714176090105842, -0.1804492578435785, 0.09904882951023189, -0.08545298594981432, -0.10109994816892327, 0.15510784287769824, 0.11483350671971074, 0.0784310214945342, -0.1772505659281682, 0.17267081835971346, -0.02848002946120687, 0.1964137572556352, -0.0039477697290026415, -0.03345242440879632, 0.12436496447294186, 0.1719071837918212, 0.030658140109899718, 0.0819057813757517, -0.12819466797354367, -0.19092730662892932, -0.3420031675710701, -0.04737075102046873, -0.22609112930084124, 0.025400684483779166, -0.06065158773811, -0.1881640413477539, 0.38723788870116455, 0.08632936771624745, 0.1322563525542743, 0.014536347348416129, 0.2556947382608763, 0.1485988977424896, 0.0839072339567326, 0.05277429785854064, 0.26828591232725346, 0.22864809915727863, 0.006595779741660525, -0.2833456323047031, -0.04877467629296753, 0.13835432305961895] |
709.0509 | Filtering Additive Measurement Noise with Maximum Entropy in the Mean | The purpose of this note is to show how the method of maximum entropy in the
mean (MEM) may be used to improve parametric estimation when the measurements
are corrupted by large level of noise. The method is developed in the context
on a concrete example: that of estimation of the parameter in an exponential
distribution. We compare the performance of our method with the bayesian and
maximum likelihood approaches.
| cs.LG | the purpose of this note is to show how the method of maximum entropy in the mean mem may be used to improve parametric estimation when the measurements are corrupted by large level of noise the method is developed in the context on a concrete example that of estimation of the parameter in an exponential distribution we compare the performance of our method with the bayesian and maximum likelihood approaches | [['the', 'purpose', 'of', 'this', 'note', 'is', 'to', 'show', 'how', 'the', 'method', 'of', 'maximum', 'entropy', 'in', 'the', 'mean', 'mem', 'may', 'be', 'used', 'to', 'improve', 'parametric', 'estimation', 'when', 'the', 'measurements', 'are', 'corrupted', 'by', 'large', 'level', 'of', 'noise', 'the', 'method', 'is', 'developed', 'in', 'the', 'context', 'on', 'a', 'concrete', 'example', 'that', 'of', 'estimation', 'of', 'the', 'parameter', 'in', 'an', 'exponential', 'distribution', 'we', 'compare', 'the', 'performance', 'of', 'our', 'method', 'with', 'the', 'bayesian', 'and', 'maximum', 'likelihood', 'approaches']] | [-0.02823092645433332, 0.03388999749295181, -0.11620629891487104, 0.053323678703912136, -0.027452082373201847, -0.08539553957193026, 0.03928437996655702, 0.36049424675958497, -0.25462527889758346, -0.32642982926751885, 0.13688334844773636, -0.2503412246171917, -0.16623086242803506, 0.22700718017793925, -0.137584830088807, 0.10525971319792526, 0.06934052458299057, 0.0667329344432801, -0.08954916355931865, -0.27798484871829193, 0.30328717274325234, 0.09996707267793162, 0.315400028321892, 0.042526638546093766, 0.09124114617838391, -0.007605700520798564, -0.03721041415951082, 0.04268203234033925, -0.13469580917870708, 0.16497516216976302, 0.22468906630362784, 0.17229068784176238, 0.3072958281263709, -0.3433277321181127, -0.21017449117332165, 0.13320436194272978, 0.13007508314414215, 0.12788250688463448, 0.0013286450395493636, -0.2579002831663404, 0.10220082543258156, -0.1819285894611052, -0.08601274192998452, -0.0709027699993125, -0.05160792515214, 0.03952577676890152, -0.3149226875044405, 0.1028637235585068, 0.06019766221953822, 0.02933860409871808, -0.018615119604926025, -0.125304891820997, 0.020688320234018776, 0.1032435689774242, 0.06561819963556315, -0.005914398001290725, 0.09071251471260829, -0.12590294572458202, -0.10136786148484264, 0.3137217561439944, -0.13327196523148035, -0.24835075829178094, 0.12891939881124667, -0.12192029425142599, -0.12922917232582612, 0.10668518714207624, 0.22587025823470738, 0.149106841115281, -0.14986118691345576, 0.06047722430417447, -0.008992378270652678, 0.17287559320351908, -0.01913365158252418, -0.040151165964614065, 0.13816810254606285, 0.18861123646409916, 0.0723141934855708, 0.1819601820366058, -0.17072644473519177, -0.05734450495095059, -0.2989323669246265, -0.15463442924831594, -0.24004546491695303, -0.030512057231473072, -0.11992643569309232, -0.15316132151388695, 0.4024474473404033, 0.2536944004058439, 0.2182427522726357, 0.05419319100411875, 0.34478999147457734, 0.16399568329299136, 0.009948076946394784, 0.05867032834326632, 0.2600719590405268, 0.13446520812077714, 0.026496436300554444, -0.22702906646632723, 0.09707678182250155, 0.02072015220432409] |
709.051 | Holomorphic harmonic analysis on complex reductive groups | We define the holomorphic Fourier transform of holomorphic functions on
complex reductive groups, prove some properties like the Fourier inversion
formula, and give some applications. The definition of the holomorphic Fourier
transform makes use of the notion of $K$-admissible measures. We prove that
$K$-admissible measures are abundant, and the definition of holomorphic Fourier
transform is independent of the choice of $K$-admissible measures.
| math.GR math.FA | we define the holomorphic fourier transform of holomorphic functions on complex reductive groups prove some properties like the fourier inversion formula and give some applications the definition of the holomorphic fourier transform makes use of the notion of kadmissible measures we prove that kadmissible measures are abundant and the definition of holomorphic fourier transform is independent of the choice of kadmissible measures | [['we', 'define', 'the', 'holomorphic', 'fourier', 'transform', 'of', 'holomorphic', 'functions', 'on', 'complex', 'reductive', 'groups', 'prove', 'some', 'properties', 'like', 'the', 'fourier', 'inversion', 'formula', 'and', 'give', 'some', 'applications', 'the', 'definition', 'of', 'the', 'holomorphic', 'fourier', 'transform', 'makes', 'use', 'of', 'the', 'notion', 'of', 'kadmissible', 'measures', 'we', 'prove', 'that', 'kadmissible', 'measures', 'are', 'abundant', 'and', 'the', 'definition', 'of', 'holomorphic', 'fourier', 'transform', 'is', 'independent', 'of', 'the', 'choice', 'of', 'kadmissible', 'measures']] | [-0.1809652381907067, 0.05470727801683449, -0.1926657880145696, 0.12474669788911517, -0.15735664344843356, -0.0645533119959216, -0.031199743190119342, 0.3596136390922531, -0.34524769912804326, -0.13760808626970938, 0.11673703248943051, -0.26617162187974297, -0.21754125140667444, 0.24745817758863972, -0.11573877894589978, 0.06980176514480263, 0.006797168903323191, 0.06857958871630891, -0.14997955283615738, -0.1956614584571892, 0.41036859977870216, -0.06781858446136597, 0.26919111441220006, 0.03877369303917212, 0.08695962868871228, 0.05225265774154855, -0.16883280249162308, -0.14245025975809944, -0.14302980317417327, 0.1730306771275918, 0.2398554760842554, 0.15204397792965005, 0.2492884496046651, -0.3851682318134173, -0.13361218659537694, 0.20468106135846145, 0.10207945417853133, -0.0981603981326184, -0.005938242717210444, -0.27913082637373476, 0.05442909238439414, -0.05886944707843565, -0.16396747888516514, -0.2032444335580353, 0.04269928517450969, 0.07710706250321481, -0.2262821344869031, 0.0444191648745008, 0.1150312110661499, 0.11693938554174477, -0.07696899392401739, -0.11020286953557402, -0.007506321390880452, 0.04100868588073119, 0.016154946199798535, 0.025312107093932647, 0.15638169006354385, -0.030366629932916934, -0.06925212006054578, 0.3402201330078946, -0.058108572382479906, -0.2848738606741291, 0.1221573623197694, -0.2197141496374482, -0.22156568612873315, 0.06507481396528741, 0.09089941050737135, 0.15871771357037248, -0.04478299246740437, 0.19472203283352899, -0.10674778570988096, 0.06955518128891144, 0.14106575573133606, 0.10323750767706623, 0.06930449133318278, 0.018146999510786226, 0.1110840782282814, 0.1721098177555588, -0.029159965170096728, -0.031627804070951476, -0.3493002150207758, -0.26062450179409596, -0.18183897174293956, 0.10893903079352552, -0.1486657616882322, -0.25351290065690035, 0.4353532658949975, 0.07528349507840411, 0.165809377430818, 0.14767376102146604, 0.22708960509513534, 0.17657269293540007, 0.08784295258022123, -0.002303650910635629, 0.08028088135723656, 0.25180794406802426, -0.007226140861729941, -0.11604739974192795, -0.013042628156742262, 0.20981181809498417] |
709.0511 | Double Clustering and Graph Navigability | Graphs are called navigable if one can find short paths through them using
only local knowledge. It has been shown that for a graph to be navigable, its
construction needs to meet strict criteria. Since such graphs nevertheless seem
to appear in nature, it is of interest to understand why these criteria should
be fulfilled.
In this paper we present a simple method for constructing graphs based on a
model where nodes vertices are ``similar'' in two different ways, and tend to
connect to those most similar to them - or cluster - with respect to both. We
prove that this leads to navigable networks for several cases, and hypothesize
that it also holds in great generality. Enough generality, perhaps, to explain
the occurrence of navigable networks in nature.
| math.PR cs.DS math.CO | graphs are called navigable if one can find short paths through them using only local knowledge it has been shown that for a graph to be navigable its construction needs to meet strict criteria since such graphs nevertheless seem to appear in nature it is of interest to understand why these criteria should be fulfilled in this paper we present a simple method for constructing graphs based on a model where nodes vertices are similar in two different ways and tend to connect to those most similar to them or cluster with respect to both we prove that this leads to navigable networks for several cases and hypothesize that it also holds in great generality enough generality perhaps to explain the occurrence of navigable networks in nature | [['graphs', 'are', 'called', 'navigable', 'if', 'one', 'can', 'find', 'short', 'paths', 'through', 'them', 'using', 'only', 'local', 'knowledge', 'it', 'has', 'been', 'shown', 'that', 'for', 'a', 'graph', 'to', 'be', 'navigable', 'its', 'construction', 'needs', 'to', 'meet', 'strict', 'criteria', 'since', 'such', 'graphs', 'nevertheless', 'seem', 'to', 'appear', 'in', 'nature', 'it', 'is', 'of', 'interest', 'to', 'understand', 'why', 'these', 'criteria', 'should', 'be', 'fulfilled', 'in', 'this', 'paper', 'we', 'present', 'a', 'simple', 'method', 'for', 'constructing', 'graphs', 'based', 'on', 'a', 'model', 'where', 'nodes', 'vertices', 'are', 'similar', 'in', 'two', 'different', 'ways', 'and', 'tend', 'to', 'connect', 'to', 'those', 'most', 'similar', 'to', 'them', 'or', 'cluster', 'with', 'respect', 'to', 'both', 'we', 'prove', 'that', 'this', 'leads', 'to', 'navigable', 'networks', 'for', 'several', 'cases', 'and', 'hypothesize', 'that', 'it', 'also', 'holds', 'in', 'great', 'generality', 'enough', 'generality', 'perhaps', 'to', 'explain', 'the', 'occurrence', 'of', 'navigable', 'networks', 'in', 'nature']] | [-0.06355528075405668, 0.060928158828710006, -0.08839567719892723, 0.11523784831529263, -0.13474635387895498, -0.1611306531002789, 0.046766521156156864, 0.4501768818462458, -0.25887071155836644, -0.32752858682977415, 0.10813592162577244, -0.2470115378616363, -0.20506299186065266, 0.19211034184527093, -0.12928892405498332, -0.014661859474823201, 0.08124899723765067, 0.06942977373466247, 0.007345230991431461, -0.29670112493276546, 0.30768477398445915, 0.008560307052602448, 0.2493404683301328, 0.07973191766508335, 0.04186431081657569, -0.06456999629222619, 0.010445508016933372, 0.08191486845063319, -0.10098254004043965, 0.11438379570883955, 0.3036720908309267, 0.1497037920873524, 0.26863679157819337, -0.4353290193340206, -0.20719530529275676, 0.19740346757929741, 0.1672820907661794, 0.11193124145841388, 0.001836667254413148, -0.22440904566438824, 0.17380675355955136, -0.14031692020829736, -0.12713116624458567, -0.13055044280064446, 0.04028549138089921, 0.011958165893580501, -0.23739482936134018, -0.01506333972540992, 0.08091309847764847, -0.030142783161663397, 0.017245876713743887, -0.07241942645160585, -0.02165611519287597, 0.14171529858094442, 0.03311459544411765, -0.002834259820222033, 0.039744820772105546, -0.105551035807094, -0.11641397147520086, 0.4144160897566343, 0.03378507581458786, -0.19824044568295496, 0.2721821345209225, -0.12558780835508773, -0.20464608186899913, 0.07960502568249202, 0.14678209413605647, 0.08660798704647642, -0.18122569748427808, 0.005224995963150767, -0.024150014317807132, 0.12068220911598875, 0.08615619618826964, 0.03737427110556425, 0.2095926279334102, 0.13296919193221476, 0.09805688272527324, 0.12252153122364946, 3.5903415657345233e-06, -0.10968231721451198, -0.2323838138556856, -0.12645164339855408, -0.17957665562981695, 0.033826874070397514, -0.05167056556665485, -0.1580598503431419, 0.37658636263153683, 0.20666322713776483, 0.22023457916468148, 0.08166832353839079, 0.23389167792171123, 0.059787672766535654, 0.11536736846263254, 0.10459392797568534, 0.23657898134808605, 0.10891814581595186, 0.07526129614708461, -0.08949758455259946, 0.11796658555564551, 0.02223112965625982] |
709.0512 | Sobolev Inequalities, Riesz Transforms and the Ricci Flow | In this paper we study the problem of deriving further Sobolev inequalities
from a given Sobolev inequality. We use several different methods, including
Bessel potentials and Riesz transforms. We apply the results to the Ricci flow
to extend the author's results on the $W^{1,2}$ Sobolev inequality along the
Ricci flow to $W^{1,p}$ and $W^{2,p}$ Sobolev inequalities for general p.
| math.DG | in this paper we study the problem of deriving further sobolev inequalities from a given sobolev inequality we use several different methods including bessel potentials and riesz transforms we apply the results to the ricci flow to extend the authors results on the w12 sobolev inequality along the ricci flow to w1p and w2p sobolev inequalities for general p | [['in', 'this', 'paper', 'we', 'study', 'the', 'problem', 'of', 'deriving', 'further', 'sobolev', 'inequalities', 'from', 'a', 'given', 'sobolev', 'inequality', 'we', 'use', 'several', 'different', 'methods', 'including', 'bessel', 'potentials', 'and', 'riesz', 'transforms', 'we', 'apply', 'the', 'results', 'to', 'the', 'ricci', 'flow', 'to', 'extend', 'the', 'authors', 'results', 'on', 'the', 'w12', 'sobolev', 'inequality', 'along', 'the', 'ricci', 'flow', 'to', 'w1p', 'and', 'w2p', 'sobolev', 'inequalities', 'for', 'general', 'p']] | [-0.09240420808289516, -0.0013683396154793642, -0.08582493317139855, 0.13209998944450674, -0.12076359182217364, -0.1294988423380685, -0.03382075251024848, 0.3387220143261602, -0.31971405850628676, -0.16187791094594337, 0.13612101092674153, -0.33351326830116873, -0.09913903809452461, 0.24021461457645488, -0.13003073040774818, 0.14258155201451253, 0.0243347518040475, -0.016857388097856005, -0.1323673155363965, -0.2867710042954028, 0.44498725677445783, -0.0777512088544288, 0.20296504045442, 0.14112354835526922, 0.023335077314463964, -0.06086854371479002, 0.0017184847492282673, -0.013586195469912837, -0.35000389261502707, 0.22637501399040663, 0.22121702230898505, 0.09618740187073915, 0.321554995820684, -0.41898300505038033, -0.23315373975467885, 0.2061857725888238, 0.11377308467182062, 0.02629394447273117, -0.05116112562788303, -0.3782153952298528, 0.034455593000560746, -0.04375681334759219, -0.1779610415174768, -0.1389310398470547, -0.037423749770022045, 0.10890379374041774, -0.3323930806590844, 0.16562045739679518, 0.1372771305347777, 0.03247957064580741, -0.20666473887276726, -0.08715232063708353, 0.05498054781455105, 0.024258151034808766, 0.09833151001041218, 0.07199456642571268, 0.035361927405189154, -0.05228356845031682, -0.10473988666120222, 0.3047048284088151, -0.08722173537806434, -0.2735327109063076, 0.08551607209936542, -0.15110789526695922, -0.16157982245056055, -0.009680442748812296, 0.22563494047371008, 0.17706559659218638, -0.09080697551085534, 0.1315120125043411, -0.0537766585347511, 0.06001842542851375, 0.14268227390376692, 0.01572224068143642, -0.06917648958200115, 0.01936504255853972, 0.21078053820815126, 0.19434367095799013, -0.03761577073847717, -0.11588833601040355, -0.402604397323172, -0.2420184528297287, -0.20790668892658362, 0.09427697730045449, -0.20669064051185546, -0.1043453629018139, 0.36944070777271765, 0.0938985489182553, 0.13030732928191202, 0.16289309006563182, 0.18295107942895364, 0.09561771800015438, 0.025730655157654467, 0.129799188888174, 0.2175702639555527, 0.22008804006154759, 0.21623743971872886, -0.10360455953010941, -0.044298317307069644, 0.2494782550434061] |
709.0513 | Quaternionic matrices: Unitary similarity, simultaneous
triangularization and some trace identities | We construct six unitary trace invariants for 2 by 2 quaternionic matrices
which separate the unitary similarity classes of such matrices, and show that
this set is minimal. We prove two quaternionic versions of a well known
characterization of triangularizable subalgebras of matrix algebras over an
algebraically closed field. Finally we consider the problem of describing the
semi-algebraic set of pairs (X,Y) of quaternionic n by n matrices which are
simultaneously triangularizable. Even the case n=2, which we analyze in more
detail, remains unsolved.
| math.AC math.RA | we construct six unitary trace invariants for 2 by 2 quaternionic matrices which separate the unitary similarity classes of such matrices and show that this set is minimal we prove two quaternionic versions of a well known characterization of triangularizable subalgebras of matrix algebras over an algebraically closed field finally we consider the problem of describing the semialgebraic set of pairs xy of quaternionic n by n matrices which are simultaneously triangularizable even the case n2 which we analyze in more detail remains unsolved | [['we', 'construct', 'six', 'unitary', 'trace', 'invariants', 'for', '2', 'by', '2', 'quaternionic', 'matrices', 'which', 'separate', 'the', 'unitary', 'similarity', 'classes', 'of', 'such', 'matrices', 'and', 'show', 'that', 'this', 'set', 'is', 'minimal', 'we', 'prove', 'two', 'quaternionic', 'versions', 'of', 'a', 'well', 'known', 'characterization', 'of', 'triangularizable', 'subalgebras', 'of', 'matrix', 'algebras', 'over', 'an', 'algebraically', 'closed', 'field', 'finally', 'we', 'consider', 'the', 'problem', 'of', 'describing', 'the', 'semialgebraic', 'set', 'of', 'pairs', 'xy', 'of', 'quaternionic', 'n', 'by', 'n', 'matrices', 'which', 'are', 'simultaneously', 'triangularizable', 'even', 'the', 'case', 'n2', 'which', 'we', 'analyze', 'in', 'more', 'detail', 'remains', 'unsolved']] | [-0.17822580572101288, 0.12744156485911975, 0.029695324566481367, 0.09484681060781613, 0.0020734481735243684, -0.1699030437351515, -0.02898514435981356, 0.3625990029125075, -0.30667267748642535, -0.2288589712531705, 0.1048118604410861, -0.2679939785185048, -0.1873782664936568, 0.1672292844880195, -0.05246408015123701, 0.019869577527667086, 0.04151778502966322, 0.10928933130067196, -0.1643618877223205, -0.31732901497577715, 0.4101207991174999, -0.10920935065674019, 0.1677311340324758, -0.020496140594505483, 0.10842397661569218, 0.04978165176830122, -0.03905815683815274, -0.008048776404133864, -0.08678349916910866, 0.09668643107510261, 0.3114469554275274, 0.15081487938351484, 0.18533415295228006, -0.4010172873691079, -0.12869429822257233, 0.22438810360645653, 0.1750615984111348, 0.03459412528207481, 0.003552849409191237, -0.2621605368746844, 0.0955532501919238, -0.1425381132534572, -0.14801833528049646, -0.10153927007922903, 0.06871840734882946, -0.05599911455508499, -0.27646780775726904, 0.013972668121347115, 0.11213259241083592, 0.09778476886588448, -0.04487421582563825, -0.12229079055500083, 0.031627505499359575, 0.0986771694816915, -0.05083435004815415, -0.021644258630528514, 0.07037947651752759, -0.060979580315428654, -0.12379881717442047, 0.34613740617143257, -0.025890065759692032, -0.26234804346625296, 0.11940740805030578, -0.173406042851552, -0.16824765018342683, 0.07235241658054292, 0.09128884594177916, 0.16255169333003106, -0.14069154174510567, 0.20070239830515457, -0.19969489128284512, 0.08601120306134578, 0.08225122479433637, 0.019034074702566222, 0.11440375261563099, 0.05282527963364763, 0.08651073071606723, 0.1692466442334643, 0.03308269050016645, -0.063490415673836, -0.3420819291911487, -0.20128065052198335, -0.13997599013548875, 0.1504918315580913, -0.1167452171542945, -0.1874797834648884, 0.4565183783304833, 0.07381097395305655, 0.22054661831463732, 0.11803265835485599, 0.1999634066264012, 0.0432642997755985, 0.02032410442119553, 0.10374564876491647, 0.1286987583873616, 0.22808897983659768, -0.04445070729707368, -0.14334928375735348, -0.057179579993576875, 0.15995366581981735] |
709.0514 | The Modelling of Degenerate Neck Pinch Singularities in Ricci Flow by
Bryant Solitons | In earlier work, carrying out numerical simulations of the Ricci flow of
families of rotationally symmetric geometries on $S3$, we have found strong
support for the contention that (at least in the rotationally symmetric case)
the Ricci flow for a ``critical'' initial geometry - one which is at the
transition point between initial geometries (on $S^3$) whose volume-normalized
Ricci flows develop a singular neck pinch, and other initial geometries whose
volume normalized Ricci flows converge to a round sphere - evolves into a
``degenerate neck pinch.'' That is, we have seen in this earlier work that the
Ricci flows for the critical geometries become locally cylindrical in a
neighborhood of the initial pinching, and have the maximum amount of curvature
at one or both of the poles. Here, we explore the behavior of these flows at
the poles, and find strong support for the conjecture that the Bryant steady
solitons accurately model this polar flow.
| math.DG gr-qc | in earlier work carrying out numerical simulations of the ricci flow of families of rotationally symmetric geometries on s3 we have found strong support for the contention that at least in the rotationally symmetric case the ricci flow for a critical initial geometry one which is at the transition point between initial geometries on s3 whose volumenormalized ricci flows develop a singular neck pinch and other initial geometries whose volume normalized ricci flows converge to a round sphere evolves into a degenerate neck pinch that is we have seen in this earlier work that the ricci flows for the critical geometries become locally cylindrical in a neighborhood of the initial pinching and have the maximum amount of curvature at one or both of the poles here we explore the behavior of these flows at the poles and find strong support for the conjecture that the bryant steady solitons accurately model this polar flow | [['in', 'earlier', 'work', 'carrying', 'out', 'numerical', 'simulations', 'of', 'the', 'ricci', 'flow', 'of', 'families', 'of', 'rotationally', 'symmetric', 'geometries', 'on', 's3', 'we', 'have', 'found', 'strong', 'support', 'for', 'the', 'contention', 'that', 'at', 'least', 'in', 'the', 'rotationally', 'symmetric', 'case', 'the', 'ricci', 'flow', 'for', 'a', 'critical', 'initial', 'geometry', 'one', 'which', 'is', 'at', 'the', 'transition', 'point', 'between', 'initial', 'geometries', 'on', 's3', 'whose', 'volumenormalized', 'ricci', 'flows', 'develop', 'a', 'singular', 'neck', 'pinch', 'and', 'other', 'initial', 'geometries', 'whose', 'volume', 'normalized', 'ricci', 'flows', 'converge', 'to', 'a', 'round', 'sphere', 'evolves', 'into', 'a', 'degenerate', 'neck', 'pinch', 'that', 'is', 'we', 'have', 'seen', 'in', 'this', 'earlier', 'work', 'that', 'the', 'ricci', 'flows', 'for', 'the', 'critical', 'geometries', 'become', 'locally', 'cylindrical', 'in', 'a', 'neighborhood', 'of', 'the', 'initial', 'pinching', 'and', 'have', 'the', 'maximum', 'amount', 'of', 'curvature', 'at', 'one', 'or', 'both', 'of', 'the', 'poles', 'here', 'we', 'explore', 'the', 'behavior', 'of', 'these', 'flows', 'at', 'the', 'poles', 'and', 'find', 'strong', 'support', 'for', 'the', 'conjecture', 'that', 'the', 'bryant', 'steady', 'solitons', 'accurately', 'model', 'this', 'polar', 'flow']] | [-0.195891389032838, 0.11681646694660527, -0.13859965447092953, 0.04070490752377249, -0.03240153061992982, -0.15263770867954768, -0.05254663948694037, 0.35956425546041504, -0.20747449129113768, -0.1958601237244271, 0.15570264456600022, -0.2804821323515129, -0.11089499040774611, 0.1442004677952188, -0.013865726753411925, 0.028791507352995717, 0.04564560278397954, 0.06513797586138537, -0.06925272757455317, -0.22663256715757932, 0.41727085947211273, 0.012057326904504128, 0.27251173679114266, 0.1000253540856362, 0.07424253363693377, -0.07409475354502111, 0.030344811663810724, 0.0634710345171115, -0.21084297095441407, 0.08164356002778886, 0.18356319753988798, 0.03195361670691008, 0.22505046019720193, -0.4296855228934802, -0.2690530332867543, 0.11273125034537823, 0.163710093882781, 0.09191868807496564, -0.05623196576511962, -0.23668946181971798, 0.09734332082135712, -0.11572620816820976, -0.1974002357151548, -0.04234559065319926, 0.03239594195098951, 0.022551282430737236, -0.2033708720023628, 0.08459264363825711, 0.08345437928839447, 0.036544315596080686, -0.06984460614073802, -0.06275616919780089, -0.09687529477211677, 0.10520634605333185, 0.07765110540645064, 0.04879012748939929, 0.12585890153727305, -0.11307716526371105, -0.04217349412224067, 0.32103848367399884, -0.05958011239353153, -0.24263518754076335, 0.17797713844848226, -0.15373120470021187, -0.10821494518694, 0.15748077953611714, 0.20045645825954433, 0.1803947838899844, -0.040512443673827385, 0.04662327376137993, -0.07798187561588836, 0.07382962782658009, 0.13540168444388637, -0.07284024727205118, 0.24308170832912712, 0.09375572254808218, 0.13658602818317128, 0.13611914275908002, -0.06776678158591191, -0.14927271436412934, -0.34638587126563136, -0.16364750524623672, -0.14599974799347323, 0.10886316584252746, -0.11528358572237635, -0.17822385682219188, 0.37542777884678513, 0.031002827986977458, 0.2268149630273875, 0.06987008185268934, 0.27133101839998286, 0.04200200743218458, 0.0514208665726329, 0.175681639518254, 0.27901462350783296, 0.13849152912525764, 0.13504762232632322, -0.21692795026134334, -0.037433956468590456, 0.11218958833175742] |
709.0515 | Ore Extensions of Extended Symmetric and Reversible Rings | Let $\sigma$ be an endomorphism and $\delta$ an $\sigma$-derivation of a ring
$R$. In this paper, we show that if $R$ is $(\sigma,\delta)$-skew Armendariz
and $a\sigma(b)=0$ implies $ab=0$ for $a,b\in R$. Then $R$ is symmetric
(respectively, reversible) if and only if $R$ is $\sigma$-symmetric
(respectively, $\sigma$-reversible) if and only if $R[x;\sigma,\delta]$ is
symmetric (respectively, reversible). Moreover, we study on the relationship
between the Baerness, quasi-Baerness and p.q.-Baerness of a ring $R$ and these
of the Ore extension $R[x;\sigma,\delta]$. As a consequence we obtain a partial
generalization of \cite{hong/2000}.
| math.RA | let sigma be an endomorphism and delta an sigmaderivation of a ring r in this paper we show that if r is sigmadeltaskew armendariz and asigmab0 implies ab0 for abin r then r is symmetric respectively reversible if and only if r is sigmasymmetric respectively sigmareversible if and only if rxsigmadelta is symmetric respectively reversible moreover we study on the relationship between the baerness quasibaerness and pqbaerness of a ring r and these of the ore extension rxsigmadelta as a consequence we obtain a partial generalization of citehong2000 | [['let', 'sigma', 'be', 'an', 'endomorphism', 'and', 'delta', 'an', 'sigmaderivation', 'of', 'a', 'ring', 'r', 'in', 'this', 'paper', 'we', 'show', 'that', 'if', 'r', 'is', 'sigmadeltaskew', 'armendariz', 'and', 'asigmab0', 'implies', 'ab0', 'for', 'abin', 'r', 'then', 'r', 'is', 'symmetric', 'respectively', 'reversible', 'if', 'and', 'only', 'if', 'r', 'is', 'sigmasymmetric', 'respectively', 'sigmareversible', 'if', 'and', 'only', 'if', 'rxsigmadelta', 'is', 'symmetric', 'respectively', 'reversible', 'moreover', 'we', 'study', 'on', 'the', 'relationship', 'between', 'the', 'baerness', 'quasibaerness', 'and', 'pqbaerness', 'of', 'a', 'ring', 'r', 'and', 'these', 'of', 'the', 'ore', 'extension', 'rxsigmadelta', 'as', 'a', 'consequence', 'we', 'obtain', 'a', 'partial', 'generalization', 'of', 'citehong2000']] | [-0.17686933650470832, 0.06950630262144841, -0.05911566843552624, -0.00937658985665835, -0.0391942694564076, -0.21555731492664884, -0.028624279236914043, 0.37137185063432243, -0.3440046256955932, -0.13845963027766522, 0.13287733457297743, -0.2842188269338187, -0.14497737818781067, 0.17488989052705137, -0.0905984808170401, -0.1247067692963516, 0.012643137826200794, 0.1255226355018642, -0.07961867042707609, -0.22566932048374677, 0.29553904983708085, -0.017631005725878127, 0.10213747507728198, 0.10030658380539322, 0.09177995997392024, 0.024301136224804554, 0.01605164462371784, 0.04824309690636309, -0.1994518558964688, 0.05595334082540563, 0.21778605367769213, 0.131082988464657, 0.21749199389973106, -0.3085555587730863, -0.053265721854918145, 0.22648806708919653, 0.13924496328348623, -0.04842604725649032, -0.0160680483930799, -0.21386661939322948, 0.24195253281470608, -0.23093296666355695, -0.08352194878765766, -0.03210352898082312, 0.21772125306374887, 0.025203789625426427, -0.37028525322675704, 0.04927482671268722, 0.1627208780935582, 0.0922860589243047, -0.0001539076822262038, -0.09215640797115424, -0.07302077199907644, 0.010869532363379703, -0.051105027612956135, 0.05288613535847296, 0.03177318126511048, -0.03699422971455052, -0.03928437089985785, 0.3625725228503785, -0.11380300319150967, -0.19410682730376722, 0.1190223860910491, -0.16979502759983434, -0.10444235122379135, 0.008946634829044342, 0.048210051376372576, 0.16445318092318142, -0.06339347038883716, 0.23762144684818956, -0.17043721316491856, 0.18630835026338258, 0.09095054306089878, -0.002658554188468877, 0.15232573676142183, 0.08234826129148988, 0.1234054879501106, 0.12210449625546223, -0.034810119891977485, 0.0442595895160647, -0.36572047068244395, -0.2111013468574075, -0.1462376090054236, 0.1460129310239983, -0.080213364841663, -0.11598534518304993, 0.3467730353312457, 0.07475810474442209, 0.1719298737014041, 0.09389681635588845, 0.19186553540913498, 0.06348647790796616, 0.01006732770406148, 0.12862237579795285, 0.11138051101828322, 0.2019276508294484, -0.03247797960853752, -0.15683275752235204, 0.002607395256157307, 0.10073875965660109] |
709.0516 | Competition in Wireless Systems via Bayesian Interference Games | We study competition between wireless devices with incomplete information
about their opponents. We model such interactions as Bayesian interference
games. Each wireless device selects a power profile over the entire available
bandwidth to maximize its data rate. Such competitive models represent
situations in which several wireless devices share spectrum without any central
authority or coordinated protocol.
In contrast to games where devices have complete information about their
opponents, we consider scenarios where the devices are unaware of the
interference they cause to other devices. Such games, which are modeled as
Bayesian games, can exhibit significantly different equilibria. We first
consider a simple scenario of simultaneous move games, where we show that the
unique Bayes-Nash equilibrium is where both devices spread their power equally
across the entire bandwidth. We then extend this model to a two-tiered spectrum
sharing case where users act sequentially. Here one of the devices, called the
primary user, is the owner of the spectrum and it selects its power profile
first. The second device (called the secondary user) then responds by choosing
a power profile to maximize its Shannon capacity. In such sequential move
games, we show that there exist equilibria in which the primary user obtains a
higher data rate by using only a part of the bandwidth.
In a repeated Bayesian interference game, we show the existence of reputation
effects: an informed primary user can bluff to prevent spectrum usage by a
secondary user who suffers from lack of information about the channel gains.
The resulting equilibrium can be highly inefficient, suggesting that
competitive spectrum sharing is highly suboptimal.
| cs.GT | we study competition between wireless devices with incomplete information about their opponents we model such interactions as bayesian interference games each wireless device selects a power profile over the entire available bandwidth to maximize its data rate such competitive models represent situations in which several wireless devices share spectrum without any central authority or coordinated protocol in contrast to games where devices have complete information about their opponents we consider scenarios where the devices are unaware of the interference they cause to other devices such games which are modeled as bayesian games can exhibit significantly different equilibria we first consider a simple scenario of simultaneous move games where we show that the unique bayesnash equilibrium is where both devices spread their power equally across the entire bandwidth we then extend this model to a twotiered spectrum sharing case where users act sequentially here one of the devices called the primary user is the owner of the spectrum and it selects its power profile first the second device called the secondary user then responds by choosing a power profile to maximize its shannon capacity in such sequential move games we show that there exist equilibria in which the primary user obtains a higher data rate by using only a part of the bandwidth in a repeated bayesian interference game we show the existence of reputation effects an informed primary user can bluff to prevent spectrum usage by a secondary user who suffers from lack of information about the channel gains the resulting equilibrium can be highly inefficient suggesting that competitive spectrum sharing is highly suboptimal | [['we', 'study', 'competition', 'between', 'wireless', 'devices', 'with', 'incomplete', 'information', 'about', 'their', 'opponents', 'we', 'model', 'such', 'interactions', 'as', 'bayesian', 'interference', 'games', 'each', 'wireless', 'device', 'selects', 'a', 'power', 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709.0517 | On the linear independence of spikes and sines | The purpose of this work is to survey what is known about the linear
independence of spikes and sines. The paper provides new results for the case
where the locations of the spikes and the frequencies of the sines are chosen
at random. This problem is equivalent to studying the spectral norm of a random
submatrix drawn from the discrete Fourier transform matrix. The proof involves
depends on an extrapolation argument of Bourgain and Tzafriri.
| math.FA math.MG | the purpose of this work is to survey what is known about the linear independence of spikes and sines the paper provides new results for the case where the locations of the spikes and the frequencies of the sines are chosen at random this problem is equivalent to studying the spectral norm of a random submatrix drawn from the discrete fourier transform matrix the proof involves depends on an extrapolation argument of bourgain and tzafriri | [['the', 'purpose', 'of', 'this', 'work', 'is', 'to', 'survey', 'what', 'is', 'known', 'about', 'the', 'linear', 'independence', 'of', 'spikes', 'and', 'sines', 'the', 'paper', 'provides', 'new', 'results', 'for', 'the', 'case', 'where', 'the', 'locations', 'of', 'the', 'spikes', 'and', 'the', 'frequencies', 'of', 'the', 'sines', 'are', 'chosen', 'at', 'random', 'this', 'problem', 'is', 'equivalent', 'to', 'studying', 'the', 'spectral', 'norm', 'of', 'a', 'random', 'submatrix', 'drawn', 'from', 'the', 'discrete', 'fourier', 'transform', 'matrix', 'the', 'proof', 'involves', 'depends', 'on', 'an', 'extrapolation', 'argument', 'of', 'bourgain', 'and', 'tzafriri']] | [-0.0873952162017425, 0.08884395041988076, -0.09708542203879915, 0.05406432842991005, -0.09591735630606611, -0.08003465671713153, 0.04342690081568435, 0.31794222434361774, -0.27457734709605575, -0.2487526047229767, 0.152328064541022, -0.28940645719567937, -0.1523557629684607, 0.17909860743830602, -0.09891122089078029, 0.04843740242843827, 0.015585835538804532, 0.06161672851070762, -0.07090573613745316, -0.23672721135119598, 0.34468170086542765, 0.0797980289782087, 0.24793361494938532, 0.01570352801432212, 0.09442430668820938, 0.0433189871845146, -0.10513498663902282, -0.06538046938056748, -0.08922522065229714, 0.160606862072212, 0.21252795753379664, 0.14304184908047318, 0.2959956763063868, -0.3815723749746879, -0.14060798577964306, 0.12915335107749948, 0.12104743381030858, 0.08340758236745993, 0.007466516600300868, -0.27177229741898673, 0.09457667860668152, -0.05284335788339376, -0.151803256397446, -0.0006249999658515057, 0.016858052789223924, 0.0483268212278684, -0.32015685642448566, 0.07759836037332812, 0.12724734125037987, 0.07351571711401145, -0.027461363958815734, -0.15200071204453708, 0.06806012480830152, 0.11708059553677837, 0.07399110248001914, 0.013271536907802025, 0.07495741927996277, -0.05989561267818014, -0.0688699010014534, 0.3612792511284351, -0.011921760874489944, -0.18169214918278156, 0.12835621928796173, -0.12813938015140594, -0.13332068416367596, 0.10708572751066336, 0.1357113396624724, 0.1333289728562037, -0.11628743913024664, 0.10116911868021514, -0.0910356235379974, 0.1725577205233276, 0.09415089440221588, 0.01414813006296754, 0.12953384968141715, 0.11616271595160166, 0.10219374097262819, 0.163973461020117, -0.09037709234437595, -0.07275453307976325, -0.3264240916073322, -0.10403332265520779, -0.29805744474443296, 0.05919067319482565, -0.12526403224658375, -0.1757483955534796, 0.4526821013291677, 0.1149971417337656, 0.2120855310714493, 0.11876633266607921, 0.266483746531109, 0.17075527938703697, 0.009374875966459513, 0.022153558551023404, 0.18946176660557587, 0.19995646756142377, 0.08619073099767169, -0.1629073860977466, 0.05486558836263915, 0.13430799583283565] |
709.0518 | Rate Regions for the Partially-Cooperative Relay Broadcast Channel with
Non-causal Side Information | In this work, we consider a partially cooperative relay broadcast channel
(PC-RBC) controlled by random parameters. We provide rate regions for two
different situations: 1) when side information (SI) S^n on the random
parameters is non-causally known at both the source and the relay and, 2) when
side information S^n is non-causally known at the source only. These achievable
regions are derived for the general discrete memoryless case first and then
extended to the case when the channel is degraded Gaussian and the SI is
additive i.i.d. Gaussian. In this case, the source uses generalized dirty paper
coding (GDPC), i.e., DPC combined with partial state cancellation, when only
the source is informed, and DPC alone when both the source and the relay are
informed. It appears that, even though it can not completely eliminate the
effect of the SI (in contrast to the case of source and relay being informed),
GDPC is particularly useful when only the source is informed.
| cs.IT math.IT | in this work we consider a partially cooperative relay broadcast channel pcrbc controlled by random parameters we provide rate regions for two different situations 1 when side information si sn on the random parameters is noncausally known at both the source and the relay and 2 when side information sn is noncausally known at the source only these achievable regions are derived for the general discrete memoryless case first and then extended to the case when the channel is degraded gaussian and the si is additive iid gaussian in this case the source uses generalized dirty paper coding gdpc ie dpc combined with partial state cancellation when only the source is informed and dpc alone when both the source and the relay are informed it appears that even though it can not completely eliminate the effect of the si in contrast to the case of source and relay being informed gdpc is particularly useful when only the source is informed | [['in', 'this', 'work', 'we', 'consider', 'a', 'partially', 'cooperative', 'relay', 'broadcast', 'channel', 'pcrbc', 'controlled', 'by', 'random', 'parameters', 'we', 'provide', 'rate', 'regions', 'for', 'two', 'different', 'situations', '1', 'when', 'side', 'information', 'si', 'sn', 'on', 'the', 'random', 'parameters', 'is', 'noncausally', 'known', 'at', 'both', 'the', 'source', 'and', 'the', 'relay', 'and', '2', 'when', 'side', 'information', 'sn', 'is', 'noncausally', 'known', 'at', 'the', 'source', 'only', 'these', 'achievable', 'regions', 'are', 'derived', 'for', 'the', 'general', 'discrete', 'memoryless', 'case', 'first', 'and', 'then', 'extended', 'to', 'the', 'case', 'when', 'the', 'channel', 'is', 'degraded', 'gaussian', 'and', 'the', 'si', 'is', 'additive', 'iid', 'gaussian', 'in', 'this', 'case', 'the', 'source', 'uses', 'generalized', 'dirty', 'paper', 'coding', 'gdpc', 'ie', 'dpc', 'combined', 'with', 'partial', 'state', 'cancellation', 'when', 'only', 'the', 'source', 'is', 'informed', 'and', 'dpc', 'alone', 'when', 'both', 'the', 'source', 'and', 'the', 'relay', 'are', 'informed', 'it', 'appears', 'that', 'even', 'though', 'it', 'can', 'not', 'completely', 'eliminate', 'the', 'effect', 'of', 'the', 'si', 'in', 'contrast', 'to', 'the', 'case', 'of', 'source', 'and', 'relay', 'being', 'informed', 'gdpc', 'is', 'particularly', 'useful', 'when', 'only', 'the', 'source', 'is', 'informed']] | [-0.11892034364510563, 0.09064503295252783, -0.015218548906990622, 0.07217789185601817, -0.08304621726628157, -0.3096481859477685, 0.09713921412498443, 0.40836722507506984, -0.30285687312259796, -0.2110252490656191, 0.16645641682545737, -0.28997843317640354, -0.12132336001598594, 0.14240241932529438, -0.09064409432599699, -0.025305831367208893, 0.014993811929539505, 0.0938379969935985, -0.007469115233935911, -0.29513129243137953, 0.32977447352855455, 0.1051252932852146, 0.30362234040623226, 0.009261780371300028, 0.06932511591924284, 0.046687274682040834, -0.043862249908889234, -0.0439857940949924, -0.07283456993159061, 0.01849341541204507, 0.2963767848625968, 0.10364681253168449, 0.2055345308035612, -0.3785366240205078, -0.2679332609382706, 0.08423818767960832, 0.15597772571741592, 0.1510440375688309, -0.01726139803443552, -0.2795323141698749, 0.12120042482090383, -0.155941958527399, -0.018073269740760893, 0.09061852442364052, -0.06898306667969763, -0.0007886011271348482, -0.34456232003572906, 0.05995197938401488, 0.07384548488159993, -0.00825178824642178, -0.023751646809315286, -0.13352721653469024, -0.002388523546743053, 0.16377491569934896, 0.006459505657541648, 0.029579878361052775, 0.07994682365170785, -0.12072647540149267, -0.029869825045778592, 0.34181606253797686, -0.013644412257178109, -0.24175300333601765, 0.16652315720264457, -0.1283715607545374, -0.10758330443169616, 0.1456974094934007, 0.14308598568615846, 0.10099456882210378, -0.18472522599132632, 0.05274528026826904, -0.01955853662559692, 0.20595956540186122, 0.07282822386691748, 0.08943732300533064, 0.132893312124895, 0.0993974546524637, 0.09288473907103643, 0.17648797113849204, -0.1522310043005803, -0.10840360837976766, -0.28979198537808193, -0.07929527492017803, -0.21368469471772072, 0.024852351752744216, -0.09286842190635117, -0.07004909353224631, 0.3042554939873045, 0.0995091197487627, 0.1284689851668133, 0.03716383333306147, 0.36118965659915364, 0.10086941006784976, -0.02911941270945193, 0.15669515072603862, 0.21778076966411045, 0.12407452166316253, 0.07392658302646102, -0.1466382136553691, 0.14669059416208463, -0.03823918794116736] |
709.0519 | Elliptical Flow in Relativistic Ion Collisions at s^(1/2)= 200 A GeV | A consistent picture of the Au+Au and D+Au, s^1/2 = 200 A GeV measurements at
RHIC obtained with the PHENIX, STAR, PHOBOS and BRAHMS detectors including both
the rapidity and transverse momentum spectra was previously developed with the
simulation LUCIFER. The approach was modeled on the early production of a fluid
of pre-hadrons after the completion of an initial, phase of high energy
interactions. The formation of pre-hadrons is discussed here, in a perturbative
QCD approach as advocated by Kopeliovich, Nemchik and Schmidt. In the second
phase of LUCIFER, a considerably lower energy hadron-like cascade ensues. Since
the dominant collisions occurring in this latter phase are meson-meson in
character while the initial collisions are between baryons, i.e. both involve
hadron sized interaction cross-sections, there is good reason to suspect that
the observed elliptical flow will be produced naturally, and this is indeed
found to be the case.
| nucl-th | a consistent picture of the auau and dau s12 200 a gev measurements at rhic obtained with the phenix star phobos and brahms detectors including both the rapidity and transverse momentum spectra was previously developed with the simulation lucifer the approach was modeled on the early production of a fluid of prehadrons after the completion of an initial phase of high energy interactions the formation of prehadrons is discussed here in a perturbative qcd approach as advocated by kopeliovich nemchik and schmidt in the second phase of lucifer a considerably lower energy hadronlike cascade ensues since the dominant collisions occurring in this latter phase are mesonmeson in character while the initial collisions are between baryons ie both involve hadron sized interaction crosssections there is good reason to suspect that the observed elliptical flow will be produced naturally and this is indeed found to be the case | [['a', 'consistent', 'picture', 'of', 'the', 'auau', 'and', 'dau', 's12', '200', 'a', 'gev', 'measurements', 'at', 'rhic', 'obtained', 'with', 'the', 'phenix', 'star', 'phobos', 'and', 'brahms', 'detectors', 'including', 'both', 'the', 'rapidity', 'and', 'transverse', 'momentum', 'spectra', 'was', 'previously', 'developed', 'with', 'the', 'simulation', 'lucifer', 'the', 'approach', 'was', 'modeled', 'on', 'the', 'early', 'production', 'of', 'a', 'fluid', 'of', 'prehadrons', 'after', 'the', 'completion', 'of', 'an', 'initial', 'phase', 'of', 'high', 'energy', 'interactions', 'the', 'formation', 'of', 'prehadrons', 'is', 'discussed', 'here', 'in', 'a', 'perturbative', 'qcd', 'approach', 'as', 'advocated', 'by', 'kopeliovich', 'nemchik', 'and', 'schmidt', 'in', 'the', 'second', 'phase', 'of', 'lucifer', 'a', 'considerably', 'lower', 'energy', 'hadronlike', 'cascade', 'ensues', 'since', 'the', 'dominant', 'collisions', 'occurring', 'in', 'this', 'latter', 'phase', 'are', 'mesonmeson', 'in', 'character', 'while', 'the', 'initial', 'collisions', 'are', 'between', 'baryons', 'ie', 'both', 'involve', 'hadron', 'sized', 'interaction', 'crosssections', 'there', 'is', 'good', 'reason', 'to', 'suspect', 'that', 'the', 'observed', 'elliptical', 'flow', 'will', 'be', 'produced', 'naturally', 'and', 'this', 'is', 'indeed', 'found', 'to', 'be', 'the', 'case']] | [-0.09578350947945026, 0.22568810753743085, -0.1656235192215937, 0.10679242149846435, 0.005309451567330237, -0.08303312937696947, -0.05159718604629924, 0.333210234371303, -0.18629633477278826, -0.30474891788486774, 0.0184393887311734, -0.3089852996620125, 0.00817170090459544, 0.16357864110634246, 0.030359522750247912, 0.06087120703004044, 0.1195722362187145, 0.01471346774748687, -0.0408780240694639, -0.21098611540209244, 0.28896490708475225, 0.11826023133792754, 0.2206420178814181, 0.12262191294194681, 0.06058361610590384, 0.016628062437641724, -0.02765917255952633, 0.008394363426185887, -0.11208007979103372, 0.040294105444376456, 0.27023451103836876, 0.03032029892542753, 0.18214739934894544, -0.3798611413173634, -0.17016119234392355, 0.09195507726359085, 0.12675597287457566, 0.09832652493315781, -0.08878774578795479, -0.26960697930209854, 0.07789723954067149, -0.23496176012117287, -0.12853196952813145, -0.009833898009925053, 0.0050951596959654625, 0.009931590802694575, -0.2887861419541376, 0.1322542361818768, 0.00808646630150555, 0.0359798950737278, -0.054128946201747345, -0.13756881757671463, -0.09061361019066053, 0.03567596648594942, 0.05231819373940856, 0.09000744175904526, 0.1257186110934307, -0.14944454736501814, -0.10991035293916177, 0.4055125371263973, -0.0008103910833597184, -0.0834703118845435, 0.20554174126350674, -0.21199632312395963, -0.11866720450142848, 0.16550299205078647, 0.16734706819828216, 0.0953951267043835, -0.17331410506419068, 0.03183145957701872, -0.01221561231810985, 0.161824015744737, 0.09537025877627833, 0.03793535204283122, 0.19700494908270072, 0.19798486650247, -0.0450235644676562, 0.10130455874524819, -0.1064646572966514, -0.11321049885631636, -0.3240397057528126, -0.0947233653402534, -0.1612547768151452, 0.023048174493657102, -0.05251888715338909, -0.0724427231105751, 0.3427402732636908, 0.08551925368896075, 0.2675549858281838, -0.022891916390829558, 0.3056893441793991, 0.08282357422667073, 0.07517023676813676, 0.08328039949952529, 0.3286885566624074, 0.15392329715160202, 0.1962801916251794, -0.23123417879667552, 0.06022066973181891, 0.044983266099709374] |
709.052 | Starburst Intensity Limit of Galaxies at z~5-6 | The peak star formation intensity in starburst galaxies does not vary
significantly from the local universe to redshift z~6. We arrive at this
conclusion through new surface brightness measurements of 47 starburst galaxies
at z~5-6, doubling the redshift range for such observations. These galaxies are
spectroscopically confirmed in the Hubble Ultra Deep Field (HUDF) through the
GRism ACS program for Extragalactic Science (GRAPES) project. The starburst
intensity limit for galaxies at z~5-6 agree with those at z~3-4 and z~0 to
within a factor of a few, after correcting for cosmological surface brightness
dimming and for dust. The most natural interpretation of this constancy over
cosmic time is that the same physical mechanisms limit starburst intensity at
all redshifts up to z~6 (be they galactic winds, gravitational instability, or
something else). We do see two trends with redshift: First, the UV spectral
slope of galaxies at z~5-6 is bluer than that of z~3 galaxies, suggesting an
increase in dust content over time. Second, the galaxy sizes from z~3 to z~6
scale approximately as the Hubble parameter 1/H(z). Thus, galaxies at z~6 are
high redshift starbursts, much like their local analogs except for slightly
bluer colors, smaller physical sizes, and correspondingly lower overall
luminosities. If we now assume a constant maximum star formation intensity, the
differences in observed surface brightness between z~0 and z~6 are consistent
with standard expanding cosmology and strongly inconsistent with tired light
model.
| astro-ph | the peak star formation intensity in starburst galaxies does not vary significantly from the local universe to redshift z6 we arrive at this conclusion through new surface brightness measurements of 47 starburst galaxies at z56 doubling the redshift range for such observations these galaxies are spectroscopically confirmed in the hubble ultra deep field hudf through the grism acs program for extragalactic science grapes project the starburst intensity limit for galaxies at z56 agree with those at z34 and z0 to within a factor of a few after correcting for cosmological surface brightness dimming and for dust the most natural interpretation of this constancy over cosmic time is that the same physical mechanisms limit starburst intensity at all redshifts up to z6 be they galactic winds gravitational instability or something else we do see two trends with redshift first the uv spectral slope of galaxies at z56 is bluer than that of z3 galaxies suggesting an increase in dust content over time second the galaxy sizes from z3 to z6 scale approximately as the hubble parameter 1hz thus galaxies at z6 are high redshift starbursts much like their local analogs except for slightly bluer colors smaller physical sizes and correspondingly lower overall luminosities if we now assume a constant maximum star formation intensity the differences in observed surface brightness between z0 and z6 are consistent with standard expanding cosmology and strongly inconsistent with tired light model | [['the', 'peak', 'star', 'formation', 'intensity', 'in', 'starburst', 'galaxies', 'does', 'not', 'vary', 'significantly', 'from', 'the', 'local', 'universe', 'to', 'redshift', 'z6', 'we', 'arrive', 'at', 'this', 'conclusion', 'through', 'new', 'surface', 'brightness', 'measurements', 'of', '47', 'starburst', 'galaxies', 'at', 'z56', 'doubling', 'the', 'redshift', 'range', 'for', 'such', 'observations', 'these', 'galaxies', 'are', 'spectroscopically', 'confirmed', 'in', 'the', 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709.0521 | Spin Wave Magnetic NanoFabric: A New Approach to Spin-based Logic
Circuitry | We propose and describe a magnetic NanoFabric which provides a route to
building reconfigurable spin-based logic circuits compatible with conventional
electron-based devices. A distinctive feature of the proposed NanoFabric is
that a bit of information is encoded into the phase of the spin wave signal. It
makes possible to transmit information without the use of electric current and
utilize wave interference for useful logic functionality. The basic elements
include voltage-to-spin wave and wave-to-voltage converters, spin waveguides, a
modulator, and a magnetoelectric cell. As an example of a magnetoelectric cell,
we consider a two-phase piezoelectric-piezomagnetic system, where the spin wave
signal modulation is due to the stress-induced anisotropy caused by the applied
electric field. The performance of the basic elements is illustrated by
experimental data and results of numerical modeling. The combination of the
basic elements let us construct magnetic circuits for NOT and Majority logic
gates. Logic gates AND, OR, NAND and NOR are shown to be constructed as the
combination of NOT and a reconfigurable Majority gates. The examples of
computational architectures such as Cellular Automata, Cellular Nonlinear
Network and Field Programmable Gate Array are described. The main advantage of
the proposed NanoFabric is in the ability to realize logic gates with less
number of devices than it required for CMOS-based circuits. Potentially, the
area of the elementary reconfigurable Majority gate can be scaled down to
0.1um2. The disadvantages and limitations of the proposed NanoFabric are
discussed.
| cond-mat.other | we propose and describe a magnetic nanofabric which provides a route to building reconfigurable spinbased logic circuits compatible with conventional electronbased devices a distinctive feature of the proposed nanofabric is that a bit of information is encoded into the phase of the spin wave signal it makes possible to transmit information without the use of electric current and utilize wave interference for useful logic functionality the basic elements include voltagetospin wave and wavetovoltage converters spin waveguides a modulator and a magnetoelectric cell as an example of a magnetoelectric cell we consider a twophase piezoelectricpiezomagnetic system where the spin wave signal modulation is due to the stressinduced anisotropy caused by the applied electric field the performance of the basic elements is illustrated by experimental data and results of numerical modeling the combination of the basic elements let us construct magnetic circuits for not and majority logic gates logic gates and or nand and nor are shown to be constructed as the combination of not and a reconfigurable majority gates the examples of computational architectures such as cellular automata cellular nonlinear network and field programmable gate array are described the main advantage of the proposed nanofabric is in the ability to realize logic gates with less number of devices than it required for cmosbased circuits potentially the area of the elementary reconfigurable majority gate can be scaled down to 01um2 the disadvantages and limitations of the proposed nanofabric are discussed | [['we', 'propose', 'and', 'describe', 'a', 'magnetic', 'nanofabric', 'which', 'provides', 'a', 'route', 'to', 'building', 'reconfigurable', 'spinbased', 'logic', 'circuits', 'compatible', 'with', 'conventional', 'electronbased', 'devices', 'a', 'distinctive', 'feature', 'of', 'the', 'proposed', 'nanofabric', 'is', 'that', 'a', 'bit', 'of', 'information', 'is', 'encoded', 'into', 'the', 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709.0522 | Qualitative Belief Conditioning Rules (QBCR) | In this paper we extend the new family of (quantitative) Belief Conditioning
Rules (BCR) recently developed in the Dezert-Smarandache Theory (DSmT) to their
qualitative counterpart for belief revision. Since the revision of quantitative
as well as qualitative belief assignment given the occurrence of a new event
(the conditioning constraint) can be done in many possible ways, we present
here only what we consider as the most appealing Qualitative Belief
Conditioning Rules (QBCR) which allow to revise the belief directly with words
and linguistic labels and thus avoids the introduction of ad-hoc translations
of quantitative beliefs into quantitative ones for solving the problem.
| cs.AI | in this paper we extend the new family of quantitative belief conditioning rules bcr recently developed in the dezertsmarandache theory dsmt to their qualitative counterpart for belief revision since the revision of quantitative as well as qualitative belief assignment given the occurrence of a new event the conditioning constraint can be done in many possible ways we present here only what we consider as the most appealing qualitative belief conditioning rules qbcr which allow to revise the belief directly with words and linguistic labels and thus avoids the introduction of adhoc translations of quantitative beliefs into quantitative ones for solving the problem | [['in', 'this', 'paper', 'we', 'extend', 'the', 'new', 'family', 'of', 'quantitative', 'belief', 'conditioning', 'rules', 'bcr', 'recently', 'developed', 'in', 'the', 'dezertsmarandache', 'theory', 'dsmt', 'to', 'their', 'qualitative', 'counterpart', 'for', 'belief', 'revision', 'since', 'the', 'revision', 'of', 'quantitative', 'as', 'well', 'as', 'qualitative', 'belief', 'assignment', 'given', 'the', 'occurrence', 'of', 'a', 'new', 'event', 'the', 'conditioning', 'constraint', 'can', 'be', 'done', 'in', 'many', 'possible', 'ways', 'we', 'present', 'here', 'only', 'what', 'we', 'consider', 'as', 'the', 'most', 'appealing', 'qualitative', 'belief', 'conditioning', 'rules', 'qbcr', 'which', 'allow', 'to', 'revise', 'the', 'belief', 'directly', 'with', 'words', 'and', 'linguistic', 'labels', 'and', 'thus', 'avoids', 'the', 'introduction', 'of', 'adhoc', 'translations', 'of', 'quantitative', 'beliefs', 'into', 'quantitative', 'ones', 'for', 'solving', 'the', 'problem']] | [-0.04230651578008391, 0.050343286601070424, -0.10814236898878866, 0.1277201821264525, -0.20282077343009486, -0.10139806547875305, 0.1546285520837928, 0.39331388356403846, -0.27489955308916286, -0.30871597153254515, 0.06749803011967238, -0.22845312198716225, -0.18010454733699266, 0.13996448049651422, -0.11738896378694047, 0.10604186247835987, 0.08727393770996149, 0.08435984272602023, -0.06609118215354749, -0.22563402327284734, 0.30355938555128725, 0.0479911260196183, 0.264117092313706, 0.05621169753013049, 0.06979941881473849, 0.06784715477635364, -0.05100840250823167, 0.03940119868199719, -0.08916103296756449, 0.1546902226291062, 0.3039474433730587, 0.2531549730153736, 0.32853909790294594, -0.4630638593346766, -0.23366231415974031, 0.05717373151553444, 0.12665801333715346, 0.12990565863316925, 0.00026690588784542414, -0.2935489610409235, 0.05384853254372051, -0.18180723743061397, -0.08077758844794318, -0.09049541348277933, -0.02278424854768385, 0.015705503078147602, -0.2442730927383435, 0.032540422914973874, 0.14104461899237006, 0.07865055947389343, -0.051294921801971864, -0.13263121175367643, 0.03885074752604238, 0.111246345110588, 0.07453775160720037, 0.025909175992583727, 0.05525615344764573, -0.14076405337384654, -0.19238614341668267, 0.36285481271783515, -0.03205984816333224, -0.20221220736972767, 0.16150119838000523, -0.04846687184296327, -0.18194063017744166, 0.058192799494850754, 0.12291397621836697, 0.11805342707672331, -0.19930745482370996, 0.001918386673153664, -0.07415894400512818, 0.14978766012337463, 0.09404612096063424, 0.05562540606623239, 0.19777269881463028, 0.1836557506519084, 0.02566249387760619, 0.10429540211865033, -0.005908198650041134, -0.1635149108496089, -0.3030182067074324, -0.16358461539897293, -0.09873870438619489, 0.012371295608930511, -0.050597702745189155, -0.2047194860435303, 0.36542934885635825, 0.26023494012395637, 0.20247053952558003, 0.08286553214760589, 0.24959213310612902, 0.09196608688447182, 0.049216708389115474, 0.014782577504099595, 0.2227019863341483, 0.11001828854608506, 0.10008957188133852, -0.14743765122211067, 0.16399485766334404, 0.07841196993305659] |
709.0523 | The nature of the dense core population in the pipe nebula: core and
cloud kinematics from C18O observations | We present molecular-line observations of 94 dark cloud cores identified in
the Pipe nebula through near-IR extinction mapping. Using the Arizona Radio
Observatory 12m telescope, we obtained spectra of these cores in the J=1-0
transition of C18O. We use the measured core parameters, i.e., antenna
temperature, linewidth, radial velocity, radius and mass, to explore the
internal kinematics of these cores as well as their radial motions through the
larger molecular cloud. We find that the vast majority of the dark extinction
cores are true cloud cores rather than the superposition of unrelated
filaments. While we identify no significant correlations between the core's
internal gas motions and the cores' other physical parameters, we identify
spatially correlated radial velocity variations that outline two main kinematic
components of the cloud. The largest is a 15pc long filament that is
surprisingly narrow both in spatial dimensions and in radial velocity.
Beginning in the Stem of the Pipe, this filament displays uniformly small C18O
linewidths (dv~0.4kms-1) as well as core to core motions only slightly in
excess of the gas sound speed. The second component outlines what appears to be
part of a large (2pc; 1000 solar mass) ring-like structure. Cores associated
with this component display both larger linewidths and core to core motions
than in the main cloud. The Pipe Molecular Ring may represent a primordial
structure related to the formation of this cloud.
| astro-ph | we present molecularline observations of 94 dark cloud cores identified in the pipe nebula through nearir extinction mapping using the arizona radio observatory 12m telescope we obtained spectra of these cores in the j10 transition of c18o we use the measured core parameters ie antenna temperature linewidth radial velocity radius and mass to explore the internal kinematics of these cores as well as their radial motions through the larger molecular cloud we find that the vast majority of the dark extinction cores are true cloud cores rather than the superposition of unrelated filaments while we identify no significant correlations between the cores internal gas motions and the cores other physical parameters we identify spatially correlated radial velocity variations that outline two main kinematic components of the cloud the largest is a 15pc long filament that is surprisingly narrow both in spatial dimensions and in radial velocity beginning in the stem of the pipe this filament displays uniformly small c18o linewidths dv04kms1 as well as core to core motions only slightly in excess of the gas sound speed the second component outlines what appears to be part of a large 2pc 1000 solar mass ringlike structure cores associated with this component display both larger linewidths and core to core motions than in the main cloud the pipe molecular ring may represent a primordial structure related to the formation of this cloud | [['we', 'present', 'molecularline', 'observations', 'of', '94', 'dark', 'cloud', 'cores', 'identified', 'in', 'the', 'pipe', 'nebula', 'through', 'nearir', 'extinction', 'mapping', 'using', 'the', 'arizona', 'radio', 'observatory', '12m', 'telescope', 'we', 'obtained', 'spectra', 'of', 'these', 'cores', 'in', 'the', 'j10', 'transition', 'of', 'c18o', 'we', 'use', 'the', 'measured', 'core', 'parameters', 'ie', 'antenna', 'temperature', 'linewidth', 'radial', 'velocity', 'radius', 'and', 'mass', 'to', 'explore', 'the', 'internal', 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709.0524 | Effect of Primordial Black Holes on the Cosmic Microwave Background and
Cosmological Parameter Estimates | We investigate the effect of non-evaporating primordial black holes (PBHs) on
the ionization and thermal history of the universe. X-rays emitted by gas
accretion onto PBHs modify the cosmic recombination history, producing
measurable effects on the spectrum and anisotropies of the Cosmic Microwave
Background (CMB). Using the third-year WMAP data and FIRAS data we improve
existing upper limits on the abundance of PBHs with masses >0.1 Msun by several
orders of magnitude. Fitting WMAP3 data with cosmological models that do not
allow for non-standard recombination histories, as produced by PBHs or other
early energy sources, may lead to an underestimate of the best-fit values of
the amplitude of linear density fluctuations (sigma_8) and the scalar spectral
index (n_s). Cosmological parameter estimates are affected because models with
PBHs allow for larger values of the Thomson scattering optical depth, whose
correlation with other parameters may not be correctly taken into account when
PBHs are ignored. Values of tau_e=0.2, n_s=1 and sigma_8=0.9 are allowed at 95%
CF. This result that may relieve recent tension between WMAP3 data and clusters
data on the value of sigma_8. PBHs may increase the primordial molecular
hydrogen abundance by up to two orders of magnitude, this promoting cooling and
star formation. The suppression of galaxy formation due to X-ray heating is
negligible for models consistent with the CMB data. Thus, the formation rate of
the first galaxies and stars would be enhanced by a population of PBHs.
| astro-ph gr-qc hep-th | we investigate the effect of nonevaporating primordial black holes pbhs on the ionization and thermal history of the universe xrays emitted by gas accretion onto pbhs modify the cosmic recombination history producing measurable effects on the spectrum and anisotropies of the cosmic microwave background cmb using the thirdyear wmap data and firas data we improve existing upper limits on the abundance of pbhs with masses 01 msun by several orders of magnitude fitting wmap3 data with cosmological models that do not allow for nonstandard recombination histories as produced by pbhs or other early energy sources may lead to an underestimate of the bestfit values of the amplitude of linear density fluctuations sigma_8 and the scalar spectral index n_s cosmological parameter estimates are affected because models with pbhs allow for larger values of the thomson scattering optical depth whose correlation with other parameters may not be correctly taken into account when pbhs are ignored values of tau_e02 n_s1 and sigma_809 are allowed at 95 cf this result that may relieve recent tension between wmap3 data and clusters data on the value of sigma_8 pbhs may increase the primordial molecular hydrogen abundance by up to two orders of magnitude this promoting cooling and star formation the suppression of galaxy formation due to xray heating is negligible for models consistent with the cmb data thus the formation rate of the first galaxies and stars would be enhanced by a population of pbhs | [['we', 'investigate', 'the', 'effect', 'of', 'nonevaporating', 'primordial', 'black', 'holes', 'pbhs', 'on', 'the', 'ionization', 'and', 'thermal', 'history', 'of', 'the', 'universe', 'xrays', 'emitted', 'by', 'gas', 'accretion', 'onto', 'pbhs', 'modify', 'the', 'cosmic', 'recombination', 'history', 'producing', 'measurable', 'effects', 'on', 'the', 'spectrum', 'and', 'anisotropies', 'of', 'the', 'cosmic', 'microwave', 'background', 'cmb', 'using', 'the', 'thirdyear', 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709.0525 | SDSS J131339.98+515128.3: A new gravitationally lensed quasar selected
based on near-infrared excess | We report the discovery of a new gravitationally lensed quasar, SDSS
J131339.98+515128.3, at a redshift of 1.875 with an image separation of 1.24".
The lensing galaxy is clearly detected in visible-light follow-up observations.
We also identify three absorption-line doublets in the spectra of the lensed
quasar images, from which we measure the lens redshift to be 0.194. Like
several other known lenses, the lensed quasar images have different continuum
slopes. This difference is probably the result of reddening and microlensing in
the lensing galaxy. The lensed quasar was selected by correlating Sloan Digital
Sky Survey (SDSS) spectroscopic quasars with Two Micron All Sky Survey (2MASS)
sources and choosing quasars that show near-infrared (IR) excess. The near-IR
excess can originate, for example, from the contribution of the lensing galaxy
at near-IR wavelengths. We show that the near-IR excess technique is indeed an
efficient method to identify lensed systems from a large sample of quasars.
| astro-ph | we report the discovery of a new gravitationally lensed quasar sdss j131339985151283 at a redshift of 1875 with an image separation of 124 the lensing galaxy is clearly detected in visiblelight followup observations we also identify three absorptionline doublets in the spectra of the lensed quasar images from which we measure the lens redshift to be 0194 like several other known lenses the lensed quasar images have different continuum slopes this difference is probably the result of reddening and microlensing in the lensing galaxy the lensed quasar was selected by correlating sloan digital sky survey sdss spectroscopic quasars with two micron all sky survey 2mass sources and choosing quasars that show nearinfrared ir excess the nearir excess can originate for example from the contribution of the lensing galaxy at nearir wavelengths we show that the nearir excess technique is indeed an efficient method to identify lensed systems from a large sample of quasars | [['we', 'report', 'the', 'discovery', 'of', 'a', 'new', 'gravitationally', 'lensed', 'quasar', 'sdss', 'j131339985151283', 'at', 'a', 'redshift', 'of', '1875', 'with', 'an', 'image', 'separation', 'of', '124', 'the', 'lensing', 'galaxy', 'is', 'clearly', 'detected', 'in', 'visiblelight', 'followup', 'observations', 'we', 'also', 'identify', 'three', 'absorptionline', 'doublets', 'in', 'the', 'spectra', 'of', 'the', 'lensed', 'quasar', 'images', 'from', 'which', 'we', 'measure', 'the', 'lens', 'redshift', 'to', 'be', '0194', 'like', 'several', 'other', 'known', 'lenses', 'the', 'lensed', 'quasar', 'images', 'have', 'different', 'continuum', 'slopes', 'this', 'difference', 'is', 'probably', 'the', 'result', 'of', 'reddening', 'and', 'microlensing', 'in', 'the', 'lensing', 'galaxy', 'the', 'lensed', 'quasar', 'was', 'selected', 'by', 'correlating', 'sloan', 'digital', 'sky', 'survey', 'sdss', 'spectroscopic', 'quasars', 'with', 'two', 'micron', 'all', 'sky', 'survey', '2mass', 'sources', 'and', 'choosing', 'quasars', 'that', 'show', 'nearinfrared', 'ir', 'excess', 'the', 'nearir', 'excess', 'can', 'originate', 'for', 'example', 'from', 'the', 'contribution', 'of', 'the', 'lensing', 'galaxy', 'at', 'nearir', 'wavelengths', 'we', 'show', 'that', 'the', 'nearir', 'excess', 'technique', 'is', 'indeed', 'an', 'efficient', 'method', 'to', 'identify', 'lensed', 'systems', 'from', 'a', 'large', 'sample', 'of', 'quasars']] | [-0.009050630756016625, 0.016442632033239965, -0.06788092470531792, 0.08239297504922816, -0.17914671002348004, -0.08202488135583208, -0.006479139954439904, 0.4772106358340304, -0.11959506381045733, -0.33546518605190184, 0.02233406422907903, -0.416982339695096, -0.04305411264986584, 0.2154993909337607, -0.02928207673156928, -0.03564612811284238, 0.043923345731424264, -0.23241506851474314, 0.047711799422311164, -0.3700096771905297, 0.30570173266613365, 0.042534759683660106, 0.15966311539523304, -0.09704057214855168, 0.12408301588086608, -0.09962871331586748, -0.20172967774009234, 0.01284008178749661, -0.14171740414138567, 0.021523931131109987, 0.3026599678652067, 0.16325221510947144, 0.19213756739688842, -0.15450755762843696, -0.16770229003343143, 0.0967862669134966, 0.23306158633510532, 0.0986629278471044, -0.07679746448258429, -0.35897704187511026, 0.06751819691118344, -0.12561375807394812, -0.1317541125379074, 0.10321385535644367, -0.01060002596166573, 0.06408241138251469, -0.17544758407625763, 0.1595791981532162, -0.020344917536835726, 0.15565559188345154, -0.14568298958597312, -0.04527271265090492, -0.08470126844354366, 0.04421950748043233, -0.036153910471751406, 0.0925323383853538, 0.13976025047381163, -0.17353552027672872, -0.032783658893190716, 0.4169563412801118, -0.06039927692128051, 0.1072519855255163, 0.16556499901344068, -0.21015857177553698, -0.22997817312869684, 0.16964327973638368, 0.1764961974358333, 0.13290632205653788, -0.20530157964554077, -0.019135494989888303, -0.0360502410300174, 0.30301190367409664, 0.035633988359845, 0.13328305403516233, 0.3640853613156459, 0.029678369256496234, 0.07899781654889107, 0.12848544139131646, -0.38032355888035935, 0.09641256073710362, -0.24932167835313043, -0.05158691595945703, -0.2094029160898093, 0.14084540472188228, -0.15141813103534668, -0.11693234256075045, 0.3677539144838719, 0.1524249034792822, 0.22270935116409274, 0.09421092170017992, 0.3453530785995291, 0.03846733454702189, 0.1431403130478238, -0.004970687977651036, 0.41679473125718924, 0.09773730887192007, 0.08259511742462085, -0.19091706967293776, -0.0077588543737013085, 0.0148245957802589] |
709.0526 | Is the Dynamics of Tracking Dark Energy Detectable? | We highlight the unexpected impact of nucleosynthesis and other early
universe constraints on the detectability of tracking quintessence dynamics at
late times, showing that such dynamics may well be invisible until the
unveiling of the Stage-IV dark energy experiments (DUNE, JDEM, LSST, SKA).
Nucleosynthesis forces |w'(0)| < 0.2 for the models we consider and strongly
limits potential deviations from LCDM. Surprisingly, the standard CPL
parametrisation, w(z) = w_0 + w_a z/(1+z), cannot match the nucleosynthesis
bound for minimally coupled tracking scalar fields. Given that such models are
arguably the best-motivated alternatives to a cosmological constant these
results may significantly impact future cosmological survey design and imply
that dark energy may well be dynamical even if we do not detect any dynamics in
the next decade.
| astro-ph gr-qc hep-ph | we highlight the unexpected impact of nucleosynthesis and other early universe constraints on the detectability of tracking quintessence dynamics at late times showing that such dynamics may well be invisible until the unveiling of the stageiv dark energy experiments dune jdem lsst ska nucleosynthesis forces w0 02 for the models we consider and strongly limits potential deviations from lcdm surprisingly the standard cpl parametrisation wz w_0 w_a z1z cannot match the nucleosynthesis bound for minimally coupled tracking scalar fields given that such models are arguably the bestmotivated alternatives to a cosmological constant these results may significantly impact future cosmological survey design and imply that dark energy may well be dynamical even if we do not detect any dynamics in the next decade | [['we', 'highlight', 'the', 'unexpected', 'impact', 'of', 'nucleosynthesis', 'and', 'other', 'early', 'universe', 'constraints', 'on', 'the', 'detectability', 'of', 'tracking', 'quintessence', 'dynamics', 'at', 'late', 'times', 'showing', 'that', 'such', 'dynamics', 'may', 'well', 'be', 'invisible', 'until', 'the', 'unveiling', 'of', 'the', 'stageiv', 'dark', 'energy', 'experiments', 'dune', 'jdem', 'lsst', 'ska', 'nucleosynthesis', 'forces', 'w0', '02', 'for', 'the', 'models', 'we', 'consider', 'and', 'strongly', 'limits', 'potential', 'deviations', 'from', 'lcdm', 'surprisingly', 'the', 'standard', 'cpl', 'parametrisation', 'wz', 'w_0', 'w_a', 'z1z', 'can', 'not', 'match', 'the', 'nucleosynthesis', 'bound', 'for', 'minimally', 'coupled', 'tracking', 'scalar', 'fields', 'given', 'that', 'such', 'models', 'are', 'arguably', 'the', 'bestmotivated', 'alternatives', 'to', 'a', 'cosmological', 'constant', 'these', 'results', 'may', 'significantly', 'impact', 'future', 'cosmological', 'survey', 'design', 'and', 'imply', 'that', 'dark', 'energy', 'may', 'well', 'be', 'dynamical', 'even', 'if', 'we', 'do', 'not', 'detect', 'any', 'dynamics', 'in', 'the', 'next', 'decade']] | [-0.10052565823151063, 0.14884678381533037, -0.10616148318111049, 0.15051804490508588, -0.1319387871014878, -0.1675034219648015, -0.03896327768793193, 0.33354860459401353, -0.24046161792021456, -0.3612697234460554, 0.08337625607420365, -0.28724245293202194, -0.07663394432378615, 0.21761925623475809, 0.01581390601454106, 0.008964818760343805, 0.10489942452196425, -0.015516874145686142, -0.05270593589913797, -0.3282672372642844, 0.2612708554143177, 0.1372478998500884, 0.18369727370488206, 0.022838481185140043, 0.032174664572244736, -0.08784628696588238, -0.03634353420068699, -0.0028550486701230207, -0.2198707225693582, -0.020756925543300747, 0.21457042070977603, 0.1916714211569993, 0.19973801276684414, -0.41818488051554537, -0.2519251281410698, 0.240466961924865, 0.17669205271404206, 0.12886608102192298, -0.0790893776726538, -0.2950791933808506, 0.02979309827030629, -0.18285324301086064, -0.11458243309270318, -0.05774652730095971, -0.05454767075541422, 0.03650332564048893, -0.2385193202578334, 0.12153887724299438, -0.031501755184859294, -0.06848826422923948, -0.08247496085468589, -0.13562144871968662, -0.0497392697252212, 0.03733165244518862, 0.05948144905515227, -0.0017288301889671058, 0.1694663323999602, -0.20899751147527884, -0.07517276584015538, 0.4332865666204352, -0.14972182726241437, -0.11193939680385033, 0.16787188387347188, -0.15625781901142885, -0.18646380706213234, 0.04086895431183672, 0.15006488950438496, 0.0457570524204795, -0.1126949422182591, 0.133169538421439, 0.06371317729656774, 0.20387086717457306, 0.05043918150003878, 0.042208384756544017, 0.3342840518666113, 0.166594571654488, 0.0747729093768649, -0.04368932066983127, -0.07830965490368141, -0.06574413595281965, -0.34129430460402876, -0.09655542710154294, -0.10201788405183612, 0.08841804447948244, -0.13304541733201566, -0.12160736629436535, 0.3458376030202925, 0.16643530964317574, 0.16974812112483612, 0.05774791781767839, 0.28313980739169975, 0.022076567120062625, 0.027488524887835743, 0.05246198017006301, 0.36516983101401873, 0.04614400149633487, 0.08072101324039503, -0.21019206472627092, 0.07138099779973064, -0.028235841845351505] |
709.0527 | Quantum Non-Demolition Detection of Strongly Correlated Systems | Preparation, manipulation, and detection of strongly correlated states of
quantum many body systems are among the most important goals and challenges of
modern physics. Ultracold atoms offer an unprecedented playground for
realization of these goals. Here we show how strongly correlated states of
ultracold atoms can be detected in a quantum non-demolition scheme, that is, in
the fundamentally least destructive way permitted by quantum mechanics. In our
method, spatially resolved components of atomic spins couple to quantum
polarization degrees of freedom of light. In this way quantum correlations of
matter are faithfully mapped on those of light; the latter can then be
efficiently measured using homodyne detection. We illustrate the power of such
spatially resolved quantum noise limited polarization measurement by applying
it to detect various standard and "exotic" types of antiferromagnetic order in
lattice systems and by indicating the feasibility of detection of superfluid
order in Fermi liquids.
| cond-mat.other quant-ph | preparation manipulation and detection of strongly correlated states of quantum many body systems are among the most important goals and challenges of modern physics ultracold atoms offer an unprecedented playground for realization of these goals here we show how strongly correlated states of ultracold atoms can be detected in a quantum nondemolition scheme that is in the fundamentally least destructive way permitted by quantum mechanics in our method spatially resolved components of atomic spins couple to quantum polarization degrees of freedom of light in this way quantum correlations of matter are faithfully mapped on those of light the latter can then be efficiently measured using homodyne detection we illustrate the power of such spatially resolved quantum noise limited polarization measurement by applying it to detect various standard and exotic types of antiferromagnetic order in lattice systems and by indicating the feasibility of detection of superfluid order in fermi liquids | [['preparation', 'manipulation', 'and', 'detection', 'of', 'strongly', 'correlated', 'states', 'of', 'quantum', 'many', 'body', 'systems', 'are', 'among', 'the', 'most', 'important', 'goals', 'and', 'challenges', 'of', 'modern', 'physics', 'ultracold', 'atoms', 'offer', 'an', 'unprecedented', 'playground', 'for', 'realization', 'of', 'these', 'goals', 'here', 'we', 'show', 'how', 'strongly', 'correlated', 'states', 'of', 'ultracold', 'atoms', 'can', 'be', 'detected', 'in', 'a', 'quantum', 'nondemolition', 'scheme', 'that', 'is', 'in', 'the', 'fundamentally', 'least', 'destructive', 'way', 'permitted', 'by', 'quantum', 'mechanics', 'in', 'our', 'method', 'spatially', 'resolved', 'components', 'of', 'atomic', 'spins', 'couple', 'to', 'quantum', 'polarization', 'degrees', 'of', 'freedom', 'of', 'light', 'in', 'this', 'way', 'quantum', 'correlations', 'of', 'matter', 'are', 'faithfully', 'mapped', 'on', 'those', 'of', 'light', 'the', 'latter', 'can', 'then', 'be', 'efficiently', 'measured', 'using', 'homodyne', 'detection', 'we', 'illustrate', 'the', 'power', 'of', 'such', 'spatially', 'resolved', 'quantum', 'noise', 'limited', 'polarization', 'measurement', 'by', 'applying', 'it', 'to', 'detect', 'various', 'standard', 'and', 'exotic', 'types', 'of', 'antiferromagnetic', 'order', 'in', 'lattice', 'systems', 'and', 'by', 'indicating', 'the', 'feasibility', 'of', 'detection', 'of', 'superfluid', 'order', 'in', 'fermi', 'liquids']] | [-0.1260441824476994, 0.2284888335787449, -0.06283900856146676, 0.008993945815819223, 0.007699087687186747, -0.19689681080651264, 0.030383873669955656, 0.3735516914010248, -0.27844038452318676, -0.3279217689566864, 0.03379276722213316, -0.2970975654999782, -0.11696884230454296, 0.21738035847267273, -0.008031400129974088, 0.0880438056313464, 0.03135689161092843, -0.04146573368784965, -0.03264390228897483, -0.2642965899130342, 0.29224710239418983, 0.020659272763690593, 0.26535700282532, 0.05331665600943786, 0.08035091020931777, 0.01013745684202076, -0.003674897480906056, 0.024315085199555296, -0.05431166380174472, 0.15131848288040559, 0.3116035980388097, 0.06550962481047683, 0.1946311835824643, -0.44926561213304733, -0.22206131993455425, 0.08975571600857797, 0.15674483687648136, 0.16878442821286668, -0.04870060646059554, -0.3489543278420332, -0.01909128697151506, -0.1676619619384233, -0.14516402406332038, -0.1607757780389179, -0.0201090230374447, 0.00564921789508838, -0.16940653953551246, 0.07881520768540018, 0.041934930113137966, 0.06420532459918185, 0.0003107752816614089, -0.04746314400069466, 0.042391315894045135, 0.08398921190192235, -0.06412973240699194, -0.006085767315375625, 0.15128760005428687, -0.1776501448659364, -0.19155436874861084, 0.4142338092776403, -0.052718431574773766, -0.15690289428082588, 0.22161199881276428, -0.1656681680801831, -0.12465635154258785, 0.10829415296723179, 0.16163231747735904, 0.11596368849683777, -0.14688363043753894, 0.03277732246092852, 0.008541459342677322, 0.21062083715954233, 0.030330618634044924, 0.1643667308951184, 0.317999010643103, 0.1438483318818683, 0.06389731919503694, 0.128538984127949, -0.1108844226910639, -0.1214225474063732, -0.27514173687379434, -0.17918082421032974, -0.22495805586206932, 0.06552057147288583, -0.016776103982248738, -0.08116149554191619, 0.3993366570611148, 0.17965084279577978, 0.14556602432217525, -0.10456742220339459, 0.29819078534691523, 0.07144573377835996, 0.026936941186353664, 0.01654574343459618, 0.2802308530596729, 0.17347640740910183, 0.011153469352839177, -0.26917621915872464, 0.03749244792571279, -0.03740531166440388] |
709.0528 | Effect of Local Minima on Adiabatic Quantum Optimization | We present a perturbative method to estimate the spectral gap for adiabatic
quantum optimization, based on the structure of the energy levels in the
problem Hamiltonian. We show that for problems that have exponentially large
number of local minima close to the global minimum, the gap becomes
exponentially small making the computation time exponentially long. The quantum
advantage of adiabatic quantum computation may then be accessed only via the
local adiabatic evolution, which requires phase coherence throughout the
evolution and knowledge of the spectrum. Such problems, therefore, are not
suitable for adiabatic quantum computation.
| quant-ph cond-mat.mes-hall | we present a perturbative method to estimate the spectral gap for adiabatic quantum optimization based on the structure of the energy levels in the problem hamiltonian we show that for problems that have exponentially large number of local minima close to the global minimum the gap becomes exponentially small making the computation time exponentially long the quantum advantage of adiabatic quantum computation may then be accessed only via the local adiabatic evolution which requires phase coherence throughout the evolution and knowledge of the spectrum such problems therefore are not suitable for adiabatic quantum computation | [['we', 'present', 'a', 'perturbative', 'method', 'to', 'estimate', 'the', 'spectral', 'gap', 'for', 'adiabatic', 'quantum', 'optimization', 'based', 'on', 'the', 'structure', 'of', 'the', 'energy', 'levels', 'in', 'the', 'problem', 'hamiltonian', 'we', 'show', 'that', 'for', 'problems', 'that', 'have', 'exponentially', 'large', 'number', 'of', 'local', 'minima', 'close', 'to', 'the', 'global', 'minimum', 'the', 'gap', 'becomes', 'exponentially', 'small', 'making', 'the', 'computation', 'time', 'exponentially', 'long', 'the', 'quantum', 'advantage', 'of', 'adiabatic', 'quantum', 'computation', 'may', 'then', 'be', 'accessed', 'only', 'via', 'the', 'local', 'adiabatic', 'evolution', 'which', 'requires', 'phase', 'coherence', 'throughout', 'the', 'evolution', 'and', 'knowledge', 'of', 'the', 'spectrum', 'such', 'problems', 'therefore', 'are', 'not', 'suitable', 'for', 'adiabatic', 'quantum', 'computation']] | [-0.15355236350776666, 0.15544656339408633, -0.11248109774525336, 0.09229528714724361, -0.02037224341976516, -0.10734344766713044, 0.07466701502129039, 0.3507833016040596, -0.3384318916483762, -0.33081729331133053, 0.12742990658722542, -0.18680167416150265, -0.11081792839042387, 0.19730199419675357, 0.006233915737074641, 0.1276532103099484, 0.10436591146355297, 0.040850563455333416, -0.09945511777805997, -0.22971062502635525, 0.2957755944969014, 0.06932805314600626, 0.26324075457461654, 0.07015978794624196, 0.04467691790233267, 0.020027245964577542, 0.01716755053642741, -0.006396652437112433, -0.09690669654856778, 0.10784604760912306, 0.24907216506990346, 0.10144819608057275, 0.32208526965993595, -0.4757608222834607, -0.21706268745177287, 0.12579062376963965, 0.1700585753176401, 0.16389582329801225, -0.008488962368573993, -0.22577860406500863, 0.09818646366747612, -0.1396960923448205, -0.09501631078409388, -0.12387645230727627, 0.025562462000612247, -0.026690986463205613, -0.23418606811096554, 0.09016720119224703, 0.03354785497736265, -0.0036991374428443453, -0.038407688598802434, -0.03794735425865238, 0.023234775210631654, 0.12870616931220555, 0.008364225943335035, -0.011366172260208491, 0.13617191560308825, -0.11577783019698047, -0.09296339997486706, 0.3558858653253063, -0.06987985099933328, -0.1465802169082924, 0.14824230624412366, -0.08997945168471717, -0.11205297395923829, 0.13578791466561405, 0.11536483773763509, 0.12329373755393193, -0.08231874368155989, 0.15159268877308002, 0.05068597548264772, 0.1740010075390022, 0.014562569632928105, 0.106019898674431, 0.18658988546589983, 0.11239923261343798, 0.1438154906079054, 0.12598747780739747, -0.08314756057386168, -0.20395772755790026, -0.2927797338429918, -0.16427580399458555, -0.26973170087613324, 0.0757836864574161, -0.09941709138179926, -0.20923063619696397, 0.41742254084253566, 0.13205177651128752, 0.21284615258349382, 0.0660580136538285, 0.31271251322741206, 0.1770420445703921, 0.05982625300183575, 0.14217424610669308, 0.2630000307244506, 0.09690111126512924, 0.0990968352391761, -0.2907790465557829, 0.05077555557673282, 0.06110054489344041] |
709.0529 | The evolution of massive black hole seeds | We investigate the evolution of high redshift seed black hole masses at late
times and their observational signatures. The massive black hole seeds studied
here form at extremely high redshifts from the direct collapse of pre-galactic
gas discs. Populating dark matter halos with seeds formed in this way, we
follow the mass assembly of these black holes to the present time using a
Monte-Carlo merger tree. Using this machinery we predict the black hole mass
function at high redshifts and at the present time; the integrated mass density
of black holes and the luminosity function of accreting black holes as a
function of redshift. These predictions are made for a set of three seed models
with varying black hole formation efficiency. Given the accuracy of current
observational constraints, all 3 models can be adequately fit. Discrimination
between the models appears predominantly at the low mass end of the present day
black hole mass function which is not observationally well constrained.
However, all our models predict that low surface brightness, bulgeless galaxies
with large discs are least likely to be sites for the formation of massive seed
black holes at high redshifts. The efficiency of seed formation at high
redshifts has a direct influence on the black hole occupation fraction in
galaxies at z=0. This effect is more pronounced for low mass galaxies. This is
the key discriminant between the models studied here and the Population III
remnant seed model. We find that there exists a population of low mass galaxies
that do not host nuclear black holes. Our prediction of the shape of the black
hole mass - velocity dispersion relation at the low mass end is in agreement
with the recent observational determination from the census of low mass
galaxies in the Virgo cluster.
| astro-ph | we investigate the evolution of high redshift seed black hole masses at late times and their observational signatures the massive black hole seeds studied here form at extremely high redshifts from the direct collapse of pregalactic gas discs populating dark matter halos with seeds formed in this way we follow the mass assembly of these black holes to the present time using a montecarlo merger tree using this machinery we predict the black hole mass function at high redshifts and at the present time the integrated mass density of black holes and the luminosity function of accreting black holes as a function of redshift these predictions are made for a set of three seed models with varying black hole formation efficiency given the accuracy of current observational constraints all 3 models can be adequately fit discrimination between the models appears predominantly at the low mass end of the present day black hole mass function which is not observationally well constrained however all our models predict that low surface brightness bulgeless galaxies with large discs are least likely to be sites for the formation of massive seed black holes at high redshifts the efficiency of seed formation at high redshifts has a direct influence on the black hole occupation fraction in galaxies at z0 this effect is more pronounced for low mass galaxies this is the key discriminant between the models studied here and the population iii remnant seed model we find that there exists a population of low mass galaxies that do not host nuclear black holes our prediction of the shape of the black hole mass velocity dispersion relation at the low mass end is in agreement with the recent observational determination from the census of low mass galaxies in the virgo cluster | [['we', 'investigate', 'the', 'evolution', 'of', 'high', 'redshift', 'seed', 'black', 'hole', 'masses', 'at', 'late', 'times', 'and', 'their', 'observational', 'signatures', 'the', 'massive', 'black', 'hole', 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709.053 | Population III Wolf-Rayet Stars in the CAK Regime | Wolf-Rayet (WR) stars near solar metallicity are believed to be driven by
radiation pressure on the UV spectral lines of metal ions. As the metallicity
decreases so does the line opacity, therefore the mass-loss rate. However,
since the composition of a WR atmosphere is determined by the burn products of
the core, there is a lower limit on the line opacity -- and therefore the
mass-loss rate -- of a WR star, even in a star with zero initial metallicity.
This presentation is the result of attempt to calculate the mass-loss rate of a
Population III-type WO star using a modified version of the CAK approximation.
I find that n_e greater than or equal to 10^{13} cm^{-3} and Gamma between 0.5
and 0.7 give the most plausible results, with the resulting mass-loss rate
between 2x10^{-9} M_sun yr^{-1} and 3x10^{-8} M_sun yr^{-1}.
| astro-ph | wolfrayet wr stars near solar metallicity are believed to be driven by radiation pressure on the uv spectral lines of metal ions as the metallicity decreases so does the line opacity therefore the massloss rate however since the composition of a wr atmosphere is determined by the burn products of the core there is a lower limit on the line opacity and therefore the massloss rate of a wr star even in a star with zero initial metallicity this presentation is the result of attempt to calculate the massloss rate of a population iiitype wo star using a modified version of the cak approximation i find that n_e greater than or equal to 1013 cm3 and gamma between 05 and 07 give the most plausible results with the resulting massloss rate between 2x109 m_sun yr1 and 3x108 m_sun yr1 | [['wolfrayet', 'wr', 'stars', 'near', 'solar', 'metallicity', 'are', 'believed', 'to', 'be', 'driven', 'by', 'radiation', 'pressure', 'on', 'the', 'uv', 'spectral', 'lines', 'of', 'metal', 'ions', 'as', 'the', 'metallicity', 'decreases', 'so', 'does', 'the', 'line', 'opacity', 'therefore', 'the', 'massloss', 'rate', 'however', 'since', 'the', 'composition', 'of', 'a', 'wr', 'atmosphere', 'is', 'determined', 'by', 'the', 'burn', 'products', 'of', 'the', 'core', 'there', 'is', 'a', 'lower', 'limit', 'on', 'the', 'line', 'opacity', 'and', 'therefore', 'the', 'massloss', 'rate', 'of', 'a', 'wr', 'star', 'even', 'in', 'a', 'star', 'with', 'zero', 'initial', 'metallicity', 'this', 'presentation', 'is', 'the', 'result', 'of', 'attempt', 'to', 'calculate', 'the', 'massloss', 'rate', 'of', 'a', 'population', 'iiitype', 'wo', 'star', 'using', 'a', 'modified', 'version', 'of', 'the', 'cak', 'approximation', 'i', 'find', 'that', 'n_e', 'greater', 'than', 'or', 'equal', 'to', '1013', 'cm3', 'and', 'gamma', 'between', '05', 'and', '07', 'give', 'the', 'most', 'plausible', 'results', 'with', 'the', 'resulting', 'massloss', 'rate', 'between', '2x109', 'm_sun', 'yr1', 'and', '3x108', 'm_sun', 'yr1']] | [-0.051729095208612706, 0.17100588918710463, -0.0029568935094548645, 0.08338343850738979, -0.04392942230103256, -0.05918258374302293, 0.11735629589169574, 0.4089370263110605, -0.1175764636625494, -0.3187096585928322, 0.05560748856899952, -0.2640290276395331, 0.028884410300365777, 0.20296768923692082, -0.08217101427223936, -0.09754449063275518, 0.07895774981878001, -0.0034202336259990286, -0.08676188447840995, -0.2589935037917156, 0.2938049153538702, 0.08985661586165335, 0.14343233521116508, 0.0427788229920506, 0.03073829344788687, -0.1636512471805159, -0.01533796426860227, -0.0757080869440981, -0.225847401113759, 0.020689349400428988, 0.19017636072955918, 0.15431427824304259, 0.2117279973551095, -0.33101468698771525, -0.21226270723645743, 0.05633357515987411, 0.1878907537329004, -0.008454737501393118, -0.0774863191809934, -0.17549311979372295, 0.06965192274036382, -0.24536966006506047, -0.16256215931217877, 0.11915903512502371, 0.054705000171779566, 0.03638326682120213, -0.2962415282071816, 0.1423756167093265, 0.043542035734749955, 0.09022351826052014, -0.08147367601376697, -0.10758030504028467, -0.12100519190823807, 0.0261221399761924, 0.07653652978960505, 0.11207528677500998, 0.18238449516444863, -0.12257116047578374, 0.04305717585233154, 0.4412471239635949, -0.12557634220698516, 0.008472737403320175, 0.22039745899299226, -0.21187444534085745, -0.09719259848000764, 0.208415289590363, 0.11019479023734871, 0.14296196331437544, -0.15200690186093394, -0.010279987548417645, 0.012985090651422096, 0.23312246248715643, 0.08162930189370574, 0.038546363523283556, 0.29575143946776933, 0.08775302473113959, 0.035311845405925094, 0.029198408102961725, -0.18942125682323743, -0.044306658218420454, -0.20730366184637486, -0.15292085897639768, -0.11937354863520792, 0.18038708653816912, -0.18513312068116256, -0.14205166276731937, 0.2733531730775487, 0.12460327897934417, 0.22838231137947, 0.034065216985738854, 0.2873255382392475, 0.16947253513997487, 0.08163114118878897, 0.15180804918138244, 0.28772941734909796, 0.2348805225869681, 0.07104972126163381, -0.2587077744445837, 0.12748566354631627, 0.07178064639405381] |
709.0531 | Identifiability of a Markovian model of molecular evolution with
Gamma-distributed rates | Inference of evolutionary trees and rates from biological sequences is
commonly performed using continuous-time Markov models of character change. The
Markov process evolves along an unknown tree while observations arise only from
the tips of the tree. Rate heterogeneity is present in most real data sets and
is accounted for by the use of flexible mixture models where each site is
allowed its own rate. Very little has been rigorously established concerning
the identifiability of the models currently in common use in data analysis,
although non-identifiability was proven for a semi-parametric model and an
incorrect proof of identifiability was published for a general parametric model
(GTR+Gamma+I). Here we prove that one of the most widely used models
(GTR+Gamma) is identifiable for generic parameters, and for all parameter
choices in the case of 4-state (DNA) models. This is the first proof of
identifiability of a phylogenetic model with a continuous distribution of
rates.
| math.ST q-bio.PE stat.TH | inference of evolutionary trees and rates from biological sequences is commonly performed using continuoustime markov models of character change the markov process evolves along an unknown tree while observations arise only from the tips of the tree rate heterogeneity is present in most real data sets and is accounted for by the use of flexible mixture models where each site is allowed its own rate very little has been rigorously established concerning the identifiability of the models currently in common use in data analysis although nonidentifiability was proven for a semiparametric model and an incorrect proof of identifiability was published for a general parametric model gtrgammai here we prove that one of the most widely used models gtrgamma is identifiable for generic parameters and for all parameter choices in the case of 4state dna models this is the first proof of identifiability of a phylogenetic model with a continuous distribution of rates | [['inference', 'of', 'evolutionary', 'trees', 'and', 'rates', 'from', 'biological', 'sequences', 'is', 'commonly', 'performed', 'using', 'continuoustime', 'markov', 'models', 'of', 'character', 'change', 'the', 'markov', 'process', 'evolves', 'along', 'an', 'unknown', 'tree', 'while', 'observations', 'arise', 'only', 'from', 'the', 'tips', 'of', 'the', 'tree', 'rate', 'heterogeneity', 'is', 'present', 'in', 'most', 'real', 'data', 'sets', 'and', 'is', 'accounted', 'for', 'by', 'the', 'use', 'of', 'flexible', 'mixture', 'models', 'where', 'each', 'site', 'is', 'allowed', 'its', 'own', 'rate', 'very', 'little', 'has', 'been', 'rigorously', 'established', 'concerning', 'the', 'identifiability', 'of', 'the', 'models', 'currently', 'in', 'common', 'use', 'in', 'data', 'analysis', 'although', 'nonidentifiability', 'was', 'proven', 'for', 'a', 'semiparametric', 'model', 'and', 'an', 'incorrect', 'proof', 'of', 'identifiability', 'was', 'published', 'for', 'a', 'general', 'parametric', 'model', 'gtrgammai', 'here', 'we', 'prove', 'that', 'one', 'of', 'the', 'most', 'widely', 'used', 'models', 'gtrgamma', 'is', 'identifiable', 'for', 'generic', 'parameters', 'and', 'for', 'all', 'parameter', 'choices', 'in', 'the', 'case', 'of', '4state', 'dna', 'models', 'this', 'is', 'the', 'first', 'proof', 'of', 'identifiability', 'of', 'a', 'phylogenetic', 'model', 'with', 'a', 'continuous', 'distribution', 'of', 'rates']] | [-0.06673583040790011, 0.07858886647212784, -0.0657687601291885, 0.10612783939855339, -0.062379439988483984, -0.16565419231851897, 0.06121271197839329, 0.3806947477472325, -0.2677599781705067, -0.2529730131818603, 0.15758036953707535, -0.22330280514744422, -0.13476531913193562, 0.19850680437637494, -0.0659782514286538, 0.08138816878936875, 0.08639320153432588, 0.0461731723882258, -0.001608800992059211, -0.23899196752967933, 0.3095323707954958, 0.0793996073367695, 0.2839406733758127, -0.015787999766568344, 0.13051157378436376, 0.00972730187078317, -0.04275251201353967, -0.02667047926438196, -0.1498299626185811, 0.09940060627957185, 0.25487186745510065, 0.183774800899749, 0.270291200398157, -0.38554700811704, -0.2661443337441112, 0.1503141081240028, 0.12551618217801055, 0.15933316715527326, -0.014717739443294704, -0.22909024282824247, 0.06082184202037752, -0.15160615687568982, -0.09213536088665326, -0.04305778710637242, 0.017514952216297387, 0.02948064750332075, -0.30014174347743394, 0.09301405563019216, 0.07638493368091683, 0.09413312080005805, -0.05375308707511673, -0.14532288102976357, -0.0358462000451982, 0.1278867634323736, 0.07414900357582761, 0.008155529939879974, 0.06803606576286256, -0.12412338326219469, -0.13109051399553814, 0.34305635963217357, -0.05162005020926396, -0.20812660628308852, 0.21592464055555563, -0.08800341278004149, -0.21475742131083583, 0.10922288574899236, 0.1512369847142448, 0.13845067917524526, -0.2174065503012389, 0.11559806023879597, -0.03816119289646546, 0.19597155017778278, 0.017441492887834708, -0.05810531849468437, 0.17570705629574757, 0.22347905477043242, 0.01616041863337159, 0.13376695866075655, -0.08390034937610229, -0.11762985879865785, -0.2472713876515627, -0.12687889556245258, -0.19209646777637923, -0.007349671002011746, -0.11897077505437968, -0.18490378645559152, 0.3897321429972847, 0.17786415860056878, 0.2025582897911469, 0.08557904951274395, 0.2645703894055138, 0.09944144874811173, 0.03309102153483157, 0.03526884152243535, 0.1905891600033889, 0.13894844186957925, 0.030907501213562984, -0.11576304990448989, 0.21560193106221656, 0.02479381107414762] |
709.0532 | Ergoregion instability of ultra-compact astrophysical objects | Most of the properties of black holes can be mimicked by horizonless compact
objects such as gravastars and boson stars. We show that these ultra-compact
objects develop a strong ergoregion instability when rapidly spinning.
Instability timescales can be of the order of 0.1 seconds to 1 week for objects
with mass M=1-10^6 solar masses and angular momentum J> 0.4 M^2. This provides
a strong indication that ultra-compact objects with large rotation are black
holes. Explosive events due to ergoregion instability have a well-defined
gravitational-wave signature. These events could be detected by next-generation
gravitational-wave detectors such as Advanced LIGO or LISA.
| gr-qc astro-ph hep-ph | most of the properties of black holes can be mimicked by horizonless compact objects such as gravastars and boson stars we show that these ultracompact objects develop a strong ergoregion instability when rapidly spinning instability timescales can be of the order of 01 seconds to 1 week for objects with mass m1106 solar masses and angular momentum j 04 m2 this provides a strong indication that ultracompact objects with large rotation are black holes explosive events due to ergoregion instability have a welldefined gravitationalwave signature these events could be detected by nextgeneration gravitationalwave detectors such as advanced ligo or lisa | [['most', 'of', 'the', 'properties', 'of', 'black', 'holes', 'can', 'be', 'mimicked', 'by', 'horizonless', 'compact', 'objects', 'such', 'as', 'gravastars', 'and', 'boson', 'stars', 'we', 'show', 'that', 'these', 'ultracompact', 'objects', 'develop', 'a', 'strong', 'ergoregion', 'instability', 'when', 'rapidly', 'spinning', 'instability', 'timescales', 'can', 'be', 'of', 'the', 'order', 'of', '01', 'seconds', 'to', '1', 'week', 'for', 'objects', 'with', 'mass', 'm1106', 'solar', 'masses', 'and', 'angular', 'momentum', 'j', '04', 'm2', 'this', 'provides', 'a', 'strong', 'indication', 'that', 'ultracompact', 'objects', 'with', 'large', 'rotation', 'are', 'black', 'holes', 'explosive', 'events', 'due', 'to', 'ergoregion', 'instability', 'have', 'a', 'welldefined', 'gravitationalwave', 'signature', 'these', 'events', 'could', 'be', 'detected', 'by', 'nextgeneration', 'gravitationalwave', 'detectors', 'such', 'as', 'advanced', 'ligo', 'or', 'lisa']] | [-0.16288341576177062, 0.2362388258122585, -0.029213015404012468, 0.1684929624874841, -0.14723760523654597, -0.09857737698658096, -0.010422278040399155, 0.3628833787233541, -0.15235932945683034, -0.3719283077075626, 0.11997001319465161, -0.2972783566631301, -0.07925535571253435, 0.24754581351839758, -0.05318043742215994, 0.027832284970726404, 0.11350655694365162, -0.04898544409396974, -0.04633935275746302, -0.1714510354542672, 0.31620410149634787, 0.08439924146255685, 0.09891613019598564, -0.08686130674499454, 0.0787097974856751, -0.10511672474218137, 0.04317135572659247, 0.020896131229220016, -0.12173474956885323, 0.00322991529611325, 0.3002199972744542, 0.1490690592074334, 0.205829484632822, -0.4051414094300884, -0.24507846131408118, 0.08544894703899068, 0.18108613268387588, 0.11240483382058264, -0.12609950543823417, -0.3421812282611776, 0.14605613671374892, -0.2692030052174673, -0.1751701043485993, -0.037055066850205716, 0.1405777095515996, 0.057175164576619864, -0.22996796676983136, 0.09136918713362191, 0.08911643504056929, -0.06854165778401299, -0.07991496126656655, -0.024161382964012598, -0.0615259473108583, 0.025955394927866172, 0.0895568367582981, 0.0661662220954895, 0.20908080911113305, -0.09823885604485193, -0.14530347405069724, 0.35236143240836837, -0.05917743185295187, -0.09502431891407027, 0.22730868761521775, -0.2567828838675838, -0.09453528300586223, 0.17233862944718714, 0.19458918397243116, 0.19775252223880302, -0.1234839971847844, 0.0048106678260603185, 0.08604133240125998, 0.22845295349822728, 0.14420034543074894, 0.14797681753495426, 0.47092908859779736, 0.18212453176907142, 0.018202132387839333, 0.07524426209015979, -0.18860049203809615, 0.027514892108173983, -0.2654686395191785, -0.12422718331594058, -0.1027949813452333, 0.14704513451968781, -0.13381163188288073, -0.14092398030833916, 0.2682711739525801, 0.11458282619761774, 0.18632415540967928, -0.04040595184543612, 0.24785135761104735, 0.09234099249553049, 0.11473617684848682, 0.09517960846800395, 0.3824877744691089, 0.0804384680032128, 0.09013898552141407, -0.12332439537376466, -0.006882275116037239, 0.01903179863637144] |
709.0533 | Harnessing bifurcations in tapping-mode atomic force microscopy to
calibrate time-varying tip-sample force measurements | Torsional harmonic cantilevers allow measurement of time varying tip-sample
forces in tapping-mode atomic force microscopy. Accuracy of these force
measurements is important for quantitative nanomechanical measurements. Here we
demonstrate a method to convert the torsional deflection signals into a
calibrated force waveform with the use of non-linear dynamical response of the
tapping cantilever. Specifically the transitions between steady oscillation
regimes are used to calibrate the torsional deflection signals.
| physics.ins-det | torsional harmonic cantilevers allow measurement of time varying tipsample forces in tappingmode atomic force microscopy accuracy of these force measurements is important for quantitative nanomechanical measurements here we demonstrate a method to convert the torsional deflection signals into a calibrated force waveform with the use of nonlinear dynamical response of the tapping cantilever specifically the transitions between steady oscillation regimes are used to calibrate the torsional deflection signals | [['torsional', 'harmonic', 'cantilevers', 'allow', 'measurement', 'of', 'time', 'varying', 'tipsample', 'forces', 'in', 'tappingmode', 'atomic', 'force', 'microscopy', 'accuracy', 'of', 'these', 'force', 'measurements', 'is', 'important', 'for', 'quantitative', 'nanomechanical', 'measurements', 'here', 'we', 'demonstrate', 'a', 'method', 'to', 'convert', 'the', 'torsional', 'deflection', 'signals', 'into', 'a', 'calibrated', 'force', 'waveform', 'with', 'the', 'use', 'of', 'nonlinear', 'dynamical', 'response', 'of', 'the', 'tapping', 'cantilever', 'specifically', 'the', 'transitions', 'between', 'steady', 'oscillation', 'regimes', 'are', 'used', 'to', 'calibrate', 'the', 'torsional', 'deflection', 'signals']] | [-0.14993065592887647, 0.20127322386457203, -0.10701542985899483, -0.00833529794266831, -0.08743902227348264, -0.16310324149569222, 0.019958635133876027, 0.3863705118351123, -0.2799352282548652, -0.2994714390815181, -0.009139641436323634, -0.28251617916804905, -0.15575886140440537, 0.30046033190892024, 0.000936849378323292, 0.13103107238352737, 0.062263437409830445, -0.031715527659638185, -0.006908543914666071, -0.07076187856728211, 0.21120697335230515, 0.04612239628263256, 0.30355405272669433, 0.0046881321639589526, 0.1531163815080243, -0.006251208504716701, 0.013298904112375835, 0.03902202038957244, -0.194928292376811, 0.07582819472779245, 0.20714902354623466, -0.032131723402177584, 0.23024468296481407, -0.5450963247293497, -0.20878396503736868, 0.07168033884098644, 0.06673407309041496, 0.18472353329279406, -0.018166563679080677, -0.2835539170979139, -0.09005855705232962, -0.09156126268755864, -0.09726866907166208, -0.1612202255466186, 0.023989022380727178, 0.11067759707871386, -0.28787489056669396, 0.16134946757708402, -0.004768694794192389, 0.0834482224411605, -0.11900571661202347, 0.015687116928508178, 0.04866895062920829, 0.18993131401400795, 0.03998914567466058, 0.022830102144165292, 0.2735164603012997, -0.06003448872498291, -0.07768530617228381, 0.3671051646062337, -0.11662904675262432, -0.2159224717247793, 0.15426237533307252, -0.16653876429807177, -0.054495129741125685, 0.12394359631819979, 0.2138149710098172, 0.07383780602846374, -0.17928053527686963, -0.0711004015756771, 0.10487446918234448, 0.2571092607891735, 0.1778510516605285, -0.0077069942729876325, 0.20352638409445611, 0.19005313471836202, 0.06088063252322814, 0.14353350555414662, -0.20238291210604503, 0.0370757861288867, -0.2651796675995951, -0.08706983971847769, -0.16653471658526756, 0.04513676517971737, -0.06522557022981346, -0.133529057555065, 0.3851225723594646, 0.13752913339447012, 0.12619647721294314, 0.004708866712034625, 0.40543966161032374, 0.06863657555282664, 0.043707862962037325, -0.10093904505072929, 0.43651582432143826, 0.24281790110227816, 0.08307794870480019, -0.32777164942886244, -0.017858489019357982, 0.021272056421045873] |
709.0534 | Weinberg Eigenvalues and Pairing with Low-Momentum Potentials | The nonperturbative nature of nucleon-nucleon interactions evolved to low
momentum has recently been investigated in free space and at finite density
using Weinberg eigenvalues as a diagnostic. This analysis is extended here to
the in-medium eigenvalues near the Fermi surface to study pairing. For a fixed
value of density and cutoff Lambda, the eigenvalues increase arbitrarily in
magnitude close to the Fermi surface, signaling the pairing instability. When
using normal-phase propagators, the Weinberg analysis with complex energies
becomes a form of stability analysis and the pairing gap can be estimated from
the largest attractive eigenvalue. With Nambu-Gorkov Green's functions, the
largest attractive eigenvalue goes to unity close to the Fermi surface,
indicating the presence of bound states (Cooper pairs), and the corresponding
eigenvector leads to the self-consistent gap function.
| nucl-th | the nonperturbative nature of nucleonnucleon interactions evolved to low momentum has recently been investigated in free space and at finite density using weinberg eigenvalues as a diagnostic this analysis is extended here to the inmedium eigenvalues near the fermi surface to study pairing for a fixed value of density and cutoff lambda the eigenvalues increase arbitrarily in magnitude close to the fermi surface signaling the pairing instability when using normalphase propagators the weinberg analysis with complex energies becomes a form of stability analysis and the pairing gap can be estimated from the largest attractive eigenvalue with nambugorkov greens functions the largest attractive eigenvalue goes to unity close to the fermi surface indicating the presence of bound states cooper pairs and the corresponding eigenvector leads to the selfconsistent gap function | [['the', 'nonperturbative', 'nature', 'of', 'nucleonnucleon', 'interactions', 'evolved', 'to', 'low', 'momentum', 'has', 'recently', 'been', 'investigated', 'in', 'free', 'space', 'and', 'at', 'finite', 'density', 'using', 'weinberg', 'eigenvalues', 'as', 'a', 'diagnostic', 'this', 'analysis', 'is', 'extended', 'here', 'to', 'the', 'inmedium', 'eigenvalues', 'near', 'the', 'fermi', 'surface', 'to', 'study', 'pairing', 'for', 'a', 'fixed', 'value', 'of', 'density', 'and', 'cutoff', 'lambda', 'the', 'eigenvalues', 'increase', 'arbitrarily', 'in', 'magnitude', 'close', 'to', 'the', 'fermi', 'surface', 'signaling', 'the', 'pairing', 'instability', 'when', 'using', 'normalphase', 'propagators', 'the', 'weinberg', 'analysis', 'with', 'complex', 'energies', 'becomes', 'a', 'form', 'of', 'stability', 'analysis', 'and', 'the', 'pairing', 'gap', 'can', 'be', 'estimated', 'from', 'the', 'largest', 'attractive', 'eigenvalue', 'with', 'nambugorkov', 'greens', 'functions', 'the', 'largest', 'attractive', 'eigenvalue', 'goes', 'to', 'unity', 'close', 'to', 'the', 'fermi', 'surface', 'indicating', 'the', 'presence', 'of', 'bound', 'states', 'cooper', 'pairs', 'and', 'the', 'corresponding', 'eigenvector', 'leads', 'to', 'the', 'selfconsistent', 'gap', 'function']] | [-0.15017967436870094, 0.152874542812242, -0.1286136812618679, 0.13654428682275466, -0.06087009378825314, -0.10642113522408181, 0.06073040721912548, 0.29649003845406696, -0.21511667429513182, -0.3013297415254783, 0.0045410275415633805, -0.34127018396247877, -0.09261143609910505, 0.10633011339450604, 0.0673442208421875, 0.06718716526961543, 0.03679756948440627, 0.04641248215921223, -0.12700206854424323, -0.16079465668735793, 0.3766088184711407, 0.0919072707547457, 0.2652376804526284, 0.13847356816586398, 0.014938959713617805, 0.026082726029017067, 0.06094403454699204, -0.013077837888204158, -0.12708176002342952, 0.09177077176536841, 0.2758217323171266, -0.049682123670208966, 0.258650658201077, -0.347410116722358, -0.19644489137863275, 0.12189832895819563, 0.18313459628279816, 0.09882413242848997, 0.017371410433952406, -0.2889984920002462, 0.07662219890698907, -0.19152770965774835, -0.21881600859342143, -0.07594272324286067, 0.03615097394140321, -0.014588955140425242, -0.24931215722608613, 0.10420898704251158, -0.022643742631771602, 0.031234916361427167, -0.08399374071450438, -0.1585300476581324, -0.0544946393056307, 0.06979161150343316, 0.0896107899470735, 0.044862487868158496, 0.11933853577647824, -0.12958098690523912, -0.02780434690794209, 0.33709724424625165, -0.060247249213716714, -0.16112641195650212, 0.17360001932229352, -0.15855395172184217, -0.03353708870781702, 0.18114812780549983, 0.12041718691216374, 0.060566981621377636, -0.10469543428064298, 0.11621777301502334, -0.007080152331582212, 0.15393878038776165, 0.09219914332061308, 0.032100842236104654, 0.21023856656393036, 0.13625638963094389, 0.07877101674239384, 0.10807751257289056, -0.10717925023163843, -0.11050491670539486, -0.2892880176950712, -0.10986751229711444, -0.26825474008364836, 0.058080776046153915, -0.06703644230901773, -0.19468982578473515, 0.39232592646476405, 0.08630118359724293, 0.22633198525363696, 0.00858513338607736, 0.2520543991740851, 0.20054365525629692, 0.10329559391084331, 0.10149501183695975, 0.25664320393116213, 0.18341668071479944, 0.030911508831195533, -0.31024142987189407, 0.009487268798693549, 0.1005125085794134] |
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