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706.4214
|
Dynamical Systems On Three Manifolds Part II: 3-Manifolds,Heegaard
Splittings and Three-Dimensional Systems
|
The global behaviour of nonlinear systems is extremely important in control
and systems theory since the usual local theories will only give information
about a system in some neighbourhood of an operating point. Away from that
point, the system may have totally different behaviour and so the theory
developed for the local system will be useless for the global one.
In this paper we shall consider the analytical and topological structure of
systems on 2- and 3- manifolds and show that it is possible to obtain systems
with 'arbitrarily strange' behaviour, i.e., arbitrary numbers of chaotic
regimes which are knotted and linked in arbitrary ways. We shall do this by
considering Heegaard Splittings of these manifolds and the resulting systems
defined on the boundaries.
|
math.DS
|
the global behaviour of nonlinear systems is extremely important in control and systems theory since the usual local theories will only give information about a system in some neighbourhood of an operating point away from that point the system may have totally different behaviour and so the theory developed for the local system will be useless for the global one in this paper we shall consider the analytical and topological structure of systems on 2 and 3 manifolds and show that it is possible to obtain systems with arbitrarily strange behaviour ie arbitrary numbers of chaotic regimes which are knotted and linked in arbitrary ways we shall do this by considering heegaard splittings of these manifolds and the resulting systems defined on the boundaries
|
[['the', 'global', 'behaviour', 'of', 'nonlinear', 'systems', 'is', 'extremely', 'important', 'in', 'control', 'and', 'systems', 'theory', 'since', 'the', 'usual', 'local', 'theories', 'will', 'only', 'give', 'information', 'about', 'a', 'system', 'in', 'some', 'neighbourhood', 'of', 'an', 'operating', 'point', 'away', 'from', 'that', 'point', 'the', 'system', 'may', 'have', 'totally', 'different', 'behaviour', 'and', 'so', 'the', 'theory', 'developed', 'for', 'the', 'local', 'system', 'will', 'be', 'useless', 'for', 'the', 'global', 'one', 'in', 'this', 'paper', 'we', 'shall', 'consider', 'the', 'analytical', 'and', 'topological', 'structure', 'of', 'systems', 'on', '2', 'and', '3', 'manifolds', 'and', 'show', 'that', 'it', 'is', 'possible', 'to', 'obtain', 'systems', 'with', 'arbitrarily', 'strange', 'behaviour', 'ie', 'arbitrary', 'numbers', 'of', 'chaotic', 'regimes', 'which', 'are', 'knotted', 'and', 'linked', 'in', 'arbitrary', 'ways', 'we', 'shall', 'do', 'this', 'by', 'considering', 'heegaard', 'splittings', 'of', 'these', 'manifolds', 'and', 'the', 'resulting', 'systems', 'defined', 'on', 'the', 'boundaries']]
|
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|
706.4215
|
Polyakov loop and the color-flavor locked phase of Quantum
Chromodynamics
|
We consider the Polyakov Nambu Jona Lasinio model with three massless quarks
at high density and moderate temperature in the superconductive color flavor
locking phase. We compute the critical temperature $T_c$ as a function of the
baryonic chemical potential for the phase transition from the superconductive
state to the normal phase. We find that $T_c$ is higher by a factor 1.5 -2 in
comparison to the model containing no Polyakov loop. We also compute the
specific heat $C_v$ near the second order phase transition and we show that the
inclusion of the Polyakov loop does not change the value of the critical
exponent.
|
hep-ph
|
we consider the polyakov nambu jona lasinio model with three massless quarks at high density and moderate temperature in the superconductive color flavor locking phase we compute the critical temperature t_c as a function of the baryonic chemical potential for the phase transition from the superconductive state to the normal phase we find that t_c is higher by a factor 15 2 in comparison to the model containing no polyakov loop we also compute the specific heat c_v near the second order phase transition and we show that the inclusion of the polyakov loop does not change the value of the critical exponent
|
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|
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|
706.4216
|
Entropy production in ac-calorimetry
|
In calorimetry and particularly in heat capacity measurements, different
characteristic relaxation time constants may perturb the experiment which
cannot be considered at thermodynamic equilibrium. In this case, thermodynamics
of irreversible processes has to be taken into account and the calorimetric
measurements must be considered as dynamic. In a temperature modulated
experiment, such as ac-calorimetry, these non-equilibrium experiments give rise
to the notion of frequency dependent complex heat capacity. In this paper, it
is shown that for each irreversible process an experimental frequency dependent
complex heat capacity can be inferred. Furthermore, we demonstrate rigorously
that a same equality connects the imaginary part of these different complex
heat capacities with the entropy produced during these irreversible processes.
Finally, we claim that the presence of an imaginary part in the measured heat
capacity always indicates that a certain amount of heat does not participate to
the classical equilibrium heat capacity of the sample when measured over the
observation time scale.
|
cond-mat.other
|
in calorimetry and particularly in heat capacity measurements different characteristic relaxation time constants may perturb the experiment which cannot be considered at thermodynamic equilibrium in this case thermodynamics of irreversible processes has to be taken into account and the calorimetric measurements must be considered as dynamic in a temperature modulated experiment such as accalorimetry these nonequilibrium experiments give rise to the notion of frequency dependent complex heat capacity in this paper it is shown that for each irreversible process an experimental frequency dependent complex heat capacity can be inferred furthermore we demonstrate rigorously that a same equality connects the imaginary part of these different complex heat capacities with the entropy produced during these irreversible processes finally we claim that the presence of an imaginary part in the measured heat capacity always indicates that a certain amount of heat does not participate to the classical equilibrium heat capacity of the sample when measured over the observation time scale
|
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|
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|
706.4217
|
W4 thermochemistry of P_2 and P_4. Is the CODATA heat of formation of
phosphorus atom correct?
|
The high-accuracy W4 computational thermochemistry protocol, and several
post-W4 methods, have been applied to the P$_2$ and P$_4$ molecules. Contrary
to previous studies, we find the experimental thermochemistry to be
fundamentally sound. The reaction enthalpy for P$_4\to 2$P$_2$ has a very
significant contribution from post-CCSD(T) correlation effects. We derive a
gas-phase heat of formation for the phosphorus atom of $\Delta
H^\circ_{f,0}$[P(g)]=75.54$\pm$0.1 kcal/mol and $\Delta
H^\circ_{f,298}$[P(g)]=75.74$\pm$0.1 kcal/mol, in the upper half of the CODATA
uncertainty interval.
|
physics.chem-ph physics.atm-clus physics.comp-ph
|
the highaccuracy w4 computational thermochemistry protocol and several postw4 methods have been applied to the p_2 and p_4 molecules contrary to previous studies we find the experimental thermochemistry to be fundamentally sound the reaction enthalpy for p_4to 2p_2 has a very significant contribution from postccsdt correlation effects we derive a gasphase heat of formation for the phosphorus atom of delta hcirc_f0pg7554pm01 kcalmol and delta hcirc_f298pg7574pm01 kcalmol in the upper half of the codata uncertainty interval
|
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|
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|
706.4218
|
Association of heteronuclear molecules in a harmonic oscillator well
|
We describe the collisional interaction between two different atoms that are
trapped in a harmonic potential. The atoms are exposed to a magnetic field,
which is modulated in the vicinity of an s-wave Feshbach resonance, and we
study the formation of molecular bound states and excited states of the trapped
system with non-trivial angular correlations.
|
cond-mat.other quant-ph
|
we describe the collisional interaction between two different atoms that are trapped in a harmonic potential the atoms are exposed to a magnetic field which is modulated in the vicinity of an swave feshbach resonance and we study the formation of molecular bound states and excited states of the trapped system with nontrivial angular correlations
|
[['we', 'describe', 'the', 'collisional', 'interaction', 'between', 'two', 'different', 'atoms', 'that', 'are', 'trapped', 'in', 'a', 'harmonic', 'potential', 'the', 'atoms', 'are', 'exposed', 'to', 'a', 'magnetic', 'field', 'which', 'is', 'modulated', 'in', 'the', 'vicinity', 'of', 'an', 'swave', 'feshbach', 'resonance', 'and', 'we', 'study', 'the', 'formation', 'of', 'molecular', 'bound', 'states', 'and', 'excited', 'states', 'of', 'the', 'trapped', 'system', 'with', 'nontrivial', 'angular', 'correlations']]
|
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|
706.4219
|
Effect of physical inactivity on the oxidation of saturated and
monounsaturated dietary Fatty acids: results of a randomized trial
|
OBJECTIVES: Changes in the way dietary fat is metabolized can be considered
causative in obesity. The role of sedentary behavior in this defect has not
been determined. We hypothesized that physical inactivity partitions dietary
fats toward storage and that a resistance exercise training program mitigates
storage.
|
q-bio.PE
|
objectives changes in the way dietary fat is metabolized can be considered causative in obesity the role of sedentary behavior in this defect has not been determined we hypothesized that physical inactivity partitions dietary fats toward storage and that a resistance exercise training program mitigates storage
|
[['objectives', 'changes', 'in', 'the', 'way', 'dietary', 'fat', 'is', 'metabolized', 'can', 'be', 'considered', 'causative', 'in', 'obesity', 'the', 'role', 'of', 'sedentary', 'behavior', 'in', 'this', 'defect', 'has', 'not', 'been', 'determined', 'we', 'hypothesized', 'that', 'physical', 'inactivity', 'partitions', 'dietary', 'fats', 'toward', 'storage', 'and', 'that', 'a', 'resistance', 'exercise', 'training', 'program', 'mitigates', 'storage']]
|
[-0.12171591570317421, 0.14327271816411824, -0.10673034178983906, 0.07794681863616341, -0.07048322875862537, -0.1577155312988907, 0.07512162814584925, 0.3925210677249276, -0.25868593739426654, -0.29640401620417833, 0.07921741891945915, -0.2671011269912529, -0.1849513745907208, 0.13526027153610534, -0.20894373078709064, 0.0051559542062813825, 0.037934029657069754, -0.04198270614015991, 0.0631498005139925, -0.2598880166997728, 0.21914379266293152, 0.10656326272241447, 0.31094755168558785, 0.09195383087448451, 0.04041872706021304, -0.05497037644153866, 0.01658281319744318, 0.039270375369359616, -0.06738611735035312, 0.08490422842710953, 0.3652541105352018, 0.21151478775351754, 0.35917293871550454, -0.41734529808973486, -0.21553065973010077, 0.14554178775490625, 0.18843655705289997, 0.06709564456959134, -0.05248438019771129, -0.21879857138771078, 0.06278802281367066, -0.19042691410235738, -0.1351042734661504, -0.047914153734303036, 0.04356471041809646, -0.016368621560421005, -0.22293004066602368, 0.06677931128069758, 0.016105310667468155, 0.12929127087978565, -0.10997158179626516, -0.11349982399817395, -0.0801305809493541, 0.20370260753628353, 0.08246695492720313, -0.02208414937005095, 0.21688430550832138, -0.12563809255421485, -0.13893496164161226, 0.32617350189906097, 0.037104889790972935, -0.14638917039986193, 0.1289704628997361, -0.0945700326246088, -0.16441005388396265, 0.14187043057957097, 0.18396618320485172, 0.027262791140895824, -0.20245381944772342, -0.006882980730354219, 0.007352973951998612, 0.15614718339486938, 0.11795551429057251, 0.00320540767405992, 0.2050916678879572, 0.24663538727200712, 0.03933788684156278, 0.13285578044040292, -0.04769184829100319, -0.05841435967823085, -0.2181651399511358, -0.18331934726270643, -0.10644562182563316, 0.06807971742218007, -0.03366266704213795, -0.13960427507434203, 0.3736204310603764, 0.11486837133238821, 0.13682187834511633, -0.0033067908016559872, 0.25034201290944347, 0.02046399970498422, 0.14685277028373725, 0.046409675704679736, 0.18253829969984034, -0.024886890678949978, 0.15981944597771633, -0.2615044922820981, 0.3069661263599182, -0.007276518280496416]
|
706.422
|
Temperature micro-Raman study of lysozyme crystals
|
We have performed for the first time micro-Raman studies of lysozyme crystals
for the temperatures lower than the room one (in the range 282-300K). Anomalous
temperature dependence of the positions of Raman scattering bands has been
detected and discussed, which corresponds to the crystalline lysozyme structure
in the vicinity of T=285K.
|
cond-mat.soft cond-mat.mtrl-sci
|
we have performed for the first time microraman studies of lysozyme crystals for the temperatures lower than the room one in the range 282300k anomalous temperature dependence of the positions of raman scattering bands has been detected and discussed which corresponds to the crystalline lysozyme structure in the vicinity of t285k
|
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|
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|
706.4221
|
Thermal instability of an expanding dusty plasma with equilibrium
cooling
|
We present an analysis of radiation induced instabilities in an expanding
plasma with considerable presence of dust particles and equilibrium cooling. We
have shown that the equilibrium expansion and cooling destabilize the radiation
condensation modes and the presence of dust particles enhances this effect. We
have examined our results in the context of ionized, dusty-plasma environments
such as those found in planetary nebulae (PNe). We show that due to the
non-static equilibrium and finite equilibrium cooling, small-scale localized
structures formed out of thermal instability, become transient, which agrees
with the observational results. The dust-charge fluctuation is found to heavily
suppress these instabilities, though in view of non-availability of convincing
experimental data, a definitive conclusion could not be made.
|
physics.plasm-ph
|
we present an analysis of radiation induced instabilities in an expanding plasma with considerable presence of dust particles and equilibrium cooling we have shown that the equilibrium expansion and cooling destabilize the radiation condensation modes and the presence of dust particles enhances this effect we have examined our results in the context of ionized dustyplasma environments such as those found in planetary nebulae pne we show that due to the nonstatic equilibrium and finite equilibrium cooling smallscale localized structures formed out of thermal instability become transient which agrees with the observational results the dustcharge fluctuation is found to heavily suppress these instabilities though in view of nonavailability of convincing experimental data a definitive conclusion could not be made
|
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|
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|
706.4222
|
Polarized and unpolarized $\mu$-pair meson-induced Drell--Yan production
and the pion distribution amplitude
|
We present a detailed analysis of meson-induced massive lepton (muon)
Drell--Yan production for the process $\pi^{-}N\to\mu^{+}\mu^{-}X$, considering
both an unpolarized nucleon target and longitudinally polarized protons. Using
a QCD framework, we focus on the angular distribution of $\mu^+$, which is
sensitive to the shape of the pion distribution amplitude, the goal being to
test corresponding results against available experimental data. Predictions are
made, employing various pion distribution amplitudes, for the azimuthal angle
dependence of the $\mu^{+}$ distribution in the polarized case, relevant for
the planned COMPASS experiment. QCD evolution is given particular attention in
both considered cases.
|
hep-ph
|
we present a detailed analysis of mesoninduced massive lepton muon drellyan production for the process pintomumux considering both an unpolarized nucleon target and longitudinally polarized protons using a qcd framework we focus on the angular distribution of mu which is sensitive to the shape of the pion distribution amplitude the goal being to test corresponding results against available experimental data predictions are made employing various pion distribution amplitudes for the azimuthal angle dependence of the mu distribution in the polarized case relevant for the planned compass experiment qcd evolution is given particular attention in both considered cases
|
[['we', 'present', 'a', 'detailed', 'analysis', 'of', 'mesoninduced', 'massive', 'lepton', 'muon', 'drellyan', 'production', 'for', 'the', 'process', 'pintomumux', 'considering', 'both', 'an', 'unpolarized', 'nucleon', 'target', 'and', 'longitudinally', 'polarized', 'protons', 'using', 'a', 'qcd', 'framework', 'we', 'focus', 'on', 'the', 'angular', 'distribution', 'of', 'mu', 'which', 'is', 'sensitive', 'to', 'the', 'shape', 'of', 'the', 'pion', 'distribution', 'amplitude', 'the', 'goal', 'being', 'to', 'test', 'corresponding', 'results', 'against', 'available', 'experimental', 'data', 'predictions', 'are', 'made', 'employing', 'various', 'pion', 'distribution', 'amplitudes', 'for', 'the', 'azimuthal', 'angle', 'dependence', 'of', 'the', 'mu', 'distribution', 'in', 'the', 'polarized', 'case', 'relevant', 'for', 'the', 'planned', 'compass', 'experiment', 'qcd', 'evolution', 'is', 'given', 'particular', 'attention', 'in', 'both', 'considered', 'cases']]
|
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|
706.4223
|
Emergence of a flux tube through a partially ionised solar atmosphere
|
For a magnetic flux tube, or indeed any flux, to emerge into the Solar corona
from the convection zone it must pass through the partially ionised layers of
the lower atmosphere: the photosphere and the chromosphere. In such regions the
ion-neutral collisions lead to an increased resistivity for currents flowing
across magnetic field lines. This Cowling resistivity can exceed the Spitzer
resistivity by orders of magnitude and in 2.5D simulations has been shown to be
sufficient to remove all cross field current from emerging flux. Here we extend
this modelling into 3D. Once again it is found that the Cowling resistivity
removes perpendicular current. However the presence of 3D structure prevents
the simple comparison possible in 2.5D simulations. With a fully ionised
atmosphere the flux emergence leads to an unphysically low temperature region
in the overlying corona, lifting of chromospheric material and the subsequent
onset of the Rayleigh-Taylor instability. Including neutrals removes the low
temperature region, lifts less chromospheric matter and shows no signs of the
Rayleigh-Taylor instability. Simulations of flux emergence therefore should
include such a neutral layer in order to obtain the correct perpendicular
current, remove the Rayleigh-Taylor instability and get the correct temperature
profile. In situations when the temperature is not important, i.e. when no
simulated spectral emission is required, a simple model for the neutral layer
is demonstrated to adequately reproduce the results of fully consistent
simulations.
|
astro-ph
|
for a magnetic flux tube or indeed any flux to emerge into the solar corona from the convection zone it must pass through the partially ionised layers of the lower atmosphere the photosphere and the chromosphere in such regions the ionneutral collisions lead to an increased resistivity for currents flowing across magnetic field lines this cowling resistivity can exceed the spitzer resistivity by orders of magnitude and in 25d simulations has been shown to be sufficient to remove all cross field current from emerging flux here we extend this modelling into 3d once again it is found that the cowling resistivity removes perpendicular current however the presence of 3d structure prevents the simple comparison possible in 25d simulations with a fully ionised atmosphere the flux emergence leads to an unphysically low temperature region in the overlying corona lifting of chromospheric material and the subsequent onset of the rayleightaylor instability including neutrals removes the low temperature region lifts less chromospheric matter and shows no signs of the rayleightaylor instability simulations of flux emergence therefore should include such a neutral layer in order to obtain the correct perpendicular current remove the rayleightaylor instability and get the correct temperature profile in situations when the temperature is not important ie when no simulated spectral emission is required a simple model for the neutral layer is demonstrated to adequately reproduce the results of fully consistent simulations
|
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|
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|
706.4224
|
User driven applications - new design paradigm
|
Programs for complicated engineering and scientific tasks always have to deal
with a problem of showing numerous graphical results. The limits of the screen
space and often opposite requirements from different users are the cause of the
infinite discussions between designers and users, but the source of this
ongoing conflict is not in the level of interface design, but in the basic
principle of current graphical output: user may change some views and details,
but in general the output view is absolutely defined and fixed by the
developer. Author was working for several years on the algorithm that will
allow eliminating this problem thus allowing stepping from designer-driven
applications to user-driven. Such type of applications in which user is
deciding what, when and how to show on the screen, is the dream of scientists
and engineers working on the analysis of the most complicated tasks. The new
paradigm is based on movable and resizable graphics, and such type of graphics
can be widely used not only for scientific and engineering applications.
|
cs.GR cs.HC
|
programs for complicated engineering and scientific tasks always have to deal with a problem of showing numerous graphical results the limits of the screen space and often opposite requirements from different users are the cause of the infinite discussions between designers and users but the source of this ongoing conflict is not in the level of interface design but in the basic principle of current graphical output user may change some views and details but in general the output view is absolutely defined and fixed by the developer author was working for several years on the algorithm that will allow eliminating this problem thus allowing stepping from designerdriven applications to userdriven such type of applications in which user is deciding what when and how to show on the screen is the dream of scientists and engineers working on the analysis of the most complicated tasks the new paradigm is based on movable and resizable graphics and such type of graphics can be widely used not only for scientific and engineering applications
|
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|
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|
706.4225
|
Topology of the regular part for infinitely renormalizable quadratic
polynomials
|
In this paper we describe the well studied process of renormalization of
quadratic polynomials from the point of view of their natural extensions. In
particular, we describe the topology of the inverse limit of infinitely
renormalizable quadratic polynomials and prove that when they satisfy a-priori
bounds, the topology is rigid modulo its combinatorics.
|
math.DS math.GT
|
in this paper we describe the well studied process of renormalization of quadratic polynomials from the point of view of their natural extensions in particular we describe the topology of the inverse limit of infinitely renormalizable quadratic polynomials and prove that when they satisfy apriori bounds the topology is rigid modulo its combinatorics
|
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|
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|
706.4226
|
On the methods to construct UFD counterexamples to a cancellation
problem
|
In a previous paper, the author together with prof. dr. Finston constructed a
class of UFDs A_{n,m} where n,m\in \N^*. These rings are all stably equivalent
(A_{n,m}[T]\cong A_{p,q}[T] for all n,m,p,q) but are only isomorphic themselves
if (n,m)=(p,q). These examples are the first UFD examples over a
characteristically closed field satisfying this behavior. In this paper, we
describe the methods used in this article, and show that they are very general,
enabling the reader to construct many more such examples, based on the same
principles.
|
math.AG math.AC
|
in a previous paper the author together with prof dr finston constructed a class of ufds a_nm where nmin n these rings are all stably equivalent a_nmtcong a_pqt for all nmpq but are only isomorphic themselves if nmpq these examples are the first ufd examples over a characteristically closed field satisfying this behavior in this paper we describe the methods used in this article and show that they are very general enabling the reader to construct many more such examples based on the same principles
|
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|
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|
706.4227
|
Angles from B Decays with Charm: Summary of Working Group 5 of the CKM
Workshop 2006
|
We summarize the results presented in Working Group 5 (WG5) of the CKM 2006
Workshop in Nagoya. The charge of WG5 was to discuss the measurements of
unitarity triangle angles $\beta/\phi_1$ and $\gamma/\phi_3$ from $B$-meson
decays containing charm quark(s) in the final states.
|
hep-ph hep-ex
|
we summarize the results presented in working group 5 wg5 of the ckm 2006 workshop in nagoya the charge of wg5 was to discuss the measurements of unitarity triangle angles betaphi_1 and gammaphi_3 from bmeson decays containing charm quarks in the final states
|
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|
[-0.07049184655997812, 0.2705529606901109, -0.0800483131372347, 0.02983759482186742, -0.04304805334952728, -0.08981003868961479, 0.1065642067895657, 0.2587537323011131, -0.17392344687917702, -0.27090058711970727, 0.035830501918453814, -0.38986934894673164, 0.01238908172335203, 0.12121364892255969, -0.007723806448644254, 0.12829853348979137, 0.12158657764879668, -0.012777810007697198, -0.1391423485219115, -0.247051212346045, 0.26105780440677956, -0.005504636959990532, 0.19105534749559877, 0.18273965237525905, -0.0028526441125971513, 0.042432106724690374, -0.1342081702427893, -0.10617794707508349, -0.12937807037336072, 0.05961485503372032, 0.22614863028795254, 0.13423927728563728, 0.049399789797551025, -0.3810112541768609, 0.0069628245901407265, 0.021717085798339145, 0.05953852700569281, 0.09046471973017949, -0.028981022014305358, -0.38302624316477196, 0.05221984833024624, -0.1695802099378098, -0.14987443906124454, -0.03855303510712607, -0.006832823049413358, -0.0725630070650723, -0.26095081611377435, 0.05875067851256307, -0.06230193244420395, 0.07037889024401765, 0.04946583963571423, -0.29063380288141893, -0.014061815968555649, 0.10360007671944203, 0.1189745208248496, 0.06732151581247042, 0.11421299567900417, -0.15789258189317656, -0.183873322269902, 0.4206397034136987, -0.012524584558133671, -0.1128691224063315, 0.10043106841423162, -0.28040155536699585, -0.21363084235160454, 0.06493414302424687, 0.23949785891738606, 0.03657114138349709, -0.17988681468385748, 0.1461803910376436, -0.10114380526469975, 0.1420192216045973, 0.12519016759697257, -0.00404339670430778, 0.14104594699129824, 0.16250717760313574, -0.043233222384914394, 0.052883957336634035, -0.11202429748344712, -0.032233136592478284, -0.4226842329996388, -0.15328714751252315, -0.0868224080583853, 0.015003216810660755, -0.04288254045595971, -0.05120625650146749, 0.44583937798331424, 0.07832369848904086, 0.2306956109795265, -0.07520876698431604, 0.24557526782155037, -0.011385680653336571, 0.03738831409548477, 0.09740012143624992, 0.3492320562974073, 0.23907887256454405, 0.15208145517219857, -0.25004412435426765, 0.008527152978519841, 0.12704163042419567]
|
706.4228
|
Piezooptic Coefficients and Acoustic Wave Velocities in Sn2P2S6 Crystals
|
Piezooptic coefficients of Sn2P2S6 crystals are experimentally determined for
l=623.8 nm and T=293 K with the aid of interferometric technique. The
components of the elastic stiffness tensor for these crystals are calculated on
the basis of studies for the acoustic wave velocities. It is shown that
acoustooptic figure of merit can achieve extremely high values for Sn2P2S6
crystals (M2 - 2x10-12s3/kg2).
|
physics.optics physics.gen-ph
|
piezooptic coefficients of sn2p2s6 crystals are experimentally determined for l6238 nm and t293 k with the aid of interferometric technique the components of the elastic stiffness tensor for these crystals are calculated on the basis of studies for the acoustic wave velocities it is shown that acoustooptic figure of merit can achieve extremely high values for sn2p2s6 crystals m2 2x1012s3kg2
|
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|
[-0.13949460683088227, 0.1998143447889832, -0.0465927066020014, -0.0769071159618825, -0.06402794206351564, -0.12000681141293362, -0.023347662157264717, 0.4400999168293518, -0.2079231466183014, -0.273013907991219, 0.0724181570766265, -0.30138738061252396, -0.11222806795124422, 0.2898709911918431, 0.06941841941392213, 0.1204447636297565, 0.041522353462744174, -0.012069722874449533, -0.06696427421922092, -0.18043673453901551, 0.22516466849361008, 0.07101634491169662, 0.3321123657780781, 0.03200657751509234, 0.14695449648915151, -0.036650135729200485, 0.043012482457255065, 0.034759471979269985, -0.1878787220682665, 0.11839356758680783, 0.32088023933925125, -0.02385708715832024, 0.12588171118445562, -0.3711400099033326, -0.23221095705306843, 0.010397033459555945, 0.1157731664808173, 0.09048903274366207, -0.009114552879493618, -0.222789449668326, 0.1365715959027671, -0.10710780149358406, -0.14404470350985465, -0.14667338405719452, 0.01797239897821687, 0.055234569075860475, -0.2671553586086814, 0.0795217817118228, -0.005863531946057552, 0.07364201785898522, -0.09572367383199826, -0.2126572343782244, -0.0206100862318029, 0.04760744321372425, -0.009755897552199792, -0.0378534318307382, 0.12712845374552303, -0.13034454368773782, -0.05206397185592275, 0.40560035332383815, -0.05566801395463316, -0.16581313864464806, 0.09043471819083941, -0.13415567630803898, -0.04272402823788293, 0.1664487151674142, 0.14156371140199012, 0.10607512288710527, -0.09112633408553768, 0.009696765372880915, 0.008218279939906654, 0.19379631901699068, 0.16854923015885187, 0.07216923500885043, 0.20240164941111416, 0.1269128846592809, -0.015276625659648664, 0.10827084656053207, -0.1336315942135754, 0.05152009149784582, -0.23274069545757875, -0.20416087472582595, -0.23526235451725752, 0.01051136516437972, -0.13078222025911887, -0.12836761013022624, 0.34436107984041436, 0.10657156665662401, 0.13876395545217715, 0.007484880896906058, 0.23339579822985748, 0.11669178396103937, 0.09865019658351676, -0.050259126244080174, 0.34228400323997465, 0.18974970214134246, 0.0821032974493216, -0.26149039743304775, 0.06784454891621544, 0.015150804726178186]
|
706.4229
|
Classification of Graded Left-symmetric Algebra Structures on Witt and
Virasoro Algebras
|
We find that a compatible graded left-symmetric algebra structure on the Witt
algebra induces an indecomposable module of the Witt algebra with 1-dimensional
weight spaces by its left multiplication operators. From the classification of
such modules of the Witt algebra, the compatible graded left-symmetric algebra
structures on the Witt algebra are classified. All of them are simple and they
include the examples given by Chapoton and Kupershmidt. Furthermore, we
classify the central extensions of these graded left-symmetric algebras which
give the compatible graded left-symmetric algebra structures on the Virasoro
algebra. They coincide with the examples given by Kupershmidt.
|
math.QA math-ph math.MP
|
we find that a compatible graded leftsymmetric algebra structure on the witt algebra induces an indecomposable module of the witt algebra with 1dimensional weight spaces by its left multiplication operators from the classification of such modules of the witt algebra the compatible graded leftsymmetric algebra structures on the witt algebra are classified all of them are simple and they include the examples given by chapoton and kupershmidt furthermore we classify the central extensions of these graded leftsymmetric algebras which give the compatible graded leftsymmetric algebra structures on the virasoro algebra they coincide with the examples given by kupershmidt
|
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|
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|
706.423
|
On the set of complex points of a 2-sphere
|
Let $G$ be a strictly pseudoconvex domain in $\mathbb{C}^2$ with
$C^\infty$-smooth boundary $\partial G$. Let $S$ be a 2-dimensional sphere
embedded into $\partial G$. Denote by $\mathcal{E}$ the set of all complex
points on $S$. We study how the structure of the set $\mathcal{E}$ depends on
the smoothness of $S$
|
math.CV
|
let g be a strictly pseudoconvex domain in mathbbc2 with cinftysmooth boundary partial g let s be a 2dimensional sphere embedded into partial g denote by mathcale the set of all complex points on s we study how the structure of the set mathcale depends on the smoothness of s
|
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|
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|
706.4231
|
Un coronographe interf\'erentiel achromatique coaxial
|
On-axis achromatic interfero-coronagraph. We present a new type of stellar
interfero-coronagraph, the "CIAXE", which is a variant of the "AIC", the
Achromatic Interfero-Coronagraph [3,4]. The CIAXE is characterized by a very
simple, compact and fully coaxial optical combination. Indeed, contrarily to
the classical AIC which has a Michelson interferometer structure, the CIAXE
delivers its output beam on the same axis as the input beam. This will ease its
insertion in the focal instrumentation of existing telescopes or next
generation ones. Such a device could be a step forward in the field of
instrumental search for exoplanets.
-----
Dans le but deparvenir \`a l'imagerie \`a haute dynamique d'objets comme les
exoplan\`etes, nous pr\'esentons ici un nouveau concept de coronographe
stellaire interf\'erentiel, le "CIAXE". Il est d\'eriv\'e du "CIA", le
Coronographe Interf\'erentiel Achromatique. Le CIAXE se distingue de son
pr\'ed\'ecesseur par une combinaison optique originale, simplifi\'ee, tr\`es
compacte et totalement coaxiale. En effet, \`a la diff\'erence du CIA classique
qui est d\'eriv\'e de l'interf\'erom\`etre de Michelson, le CIAXE d\'elivre son
faisceau de sortie sur le m\^eme axe que le faisceau d'entr\'ee, ce qui
facilitera grandement son insertion au sein de l'instrumentation focale d'un
t\'elescope. Un tel dispositif pourrait constituer une avanc\'ee en mati\`ere
d'instrumentation focale pour la recherche d'exoplan\`etes.
|
astro-ph
|
onaxis achromatic interferocoronagraph we present a new type of stellar interferocoronagraph the ciaxe which is a variant of the aic the achromatic interferocoronagraph 34 the ciaxe is characterized by a very simple compact and fully coaxial optical combination indeed contrarily to the classical aic which has a michelson interferometer structure the ciaxe delivers its output beam on the same axis as the input beam this will ease its insertion in the focal instrumentation of existing telescopes or next generation ones such a device could be a step forward in the field of instrumental search for exoplanets dans le but deparvenir a limagerie a haute dynamique dobjets comme les exoplanetes nous presentons ici un nouveau concept de coronographe stellaire interferentiel le ciaxe il est derive du cia le coronographe interferentiel achromatique le ciaxe se distingue de son predecesseur par une combinaison optique originale simplifiee tres compacte et totalement coaxiale en effet a la difference du cia classique qui est derive de linterferometre de michelson le ciaxe delivre son faisceau de sortie sur le meme axe que le faisceau dentree ce qui facilitera grandement son insertion au sein de linstrumentation focale dun telescope un tel dispositif pourrait constituer une avancee en matiere dinstrumentation focale pour la recherche dexoplanetes
|
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|
[-0.19594885003043397, 0.059620103448252665, -0.1628032006765454, 0.07160166986456686, -0.11935174219718064, -0.174967608227541, -0.10029209534156272, 0.202429127081538, -0.12867356812122954, -0.2838092521094623, 0.07012036418361757, -0.32476952116350444, -0.16248794329834035, 0.16318680542283115, -0.23981159473664723, -0.07702401335340704, -0.05138515228970667, -0.10050547730146248, 0.015321811569561616, -0.2280054854378209, 0.19898533024772835, 0.2089710157296589, 0.28589562794685447, -0.13654601090035684, 0.21032766725611612, 0.1480449149751345, 0.06993744662554746, -0.1532955149795567, -0.25712198678033266, 0.02356571593358485, 0.32347332004436785, 0.2172554815318854, 0.20455974400673962, -0.29790352614795307, -0.06004332866273779, 0.05476547631283364, 0.11747291124441525, -0.006810506460455696, -0.017632896421356858, -0.3800899421461345, 0.09459578318989331, -0.21853836926859227, -0.05757253336081846, 0.031346658531843236, -0.11241358494352723, 0.02926547270728631, -0.2665562091707226, 0.03167032274179516, 0.04555455000400399, 0.13407608302142682, 0.030954786691437947, -0.24832175557731828, -0.1638615737607692, -0.017280065334530213, -0.17226018323144468, 0.12416575552319802, 0.028376652956927154, 0.02478833546014398, -0.019415493303742468, 0.2684518567396307, -0.14581476864300333, -0.034668370356699556, 0.14311762046941368, -0.09135136338542059, -0.2327356345669021, 0.08762683158902598, 0.09246602952820406, 0.16175596683882595, 0.08177503941186934, 0.24199174265893897, 0.05393126027333534, 0.1747682393238137, 0.24346276761943034, -0.015208935935385106, 0.18358411386823595, 0.08577333708892818, 0.01926997772926789, -0.1403057671817846, -0.16952834988854631, 0.06158014492647136, -0.1864921403120094, -0.35423366939962914, -0.06993809538099423, 0.07593863891186507, -0.06283990716621518, -0.23187752288512445, 0.16536883424883814, 0.028184195793053302, 0.08033106348927269, 0.04949212569110305, 0.20265171574585641, -0.11316057605593036, -0.04069365534324492, 0.024215613816226465, 0.19912918463474913, 0.06334072158520183, 0.2451655848940646, -0.24211588017956426, -0.04261849098184847, 0.19216830620092204]
|
706.4232
|
Slippery or sticky ! Control of wrinkling patterns by selective adhesion
|
Wrinkling patterns at the metallized surface of thin polymer films are shown
to be sensitive to the sticky or slippery character of the polymer/substrate
interface (titanium coating, polystyrene film and coated silicon substrate).
Selective prefered wrinkle orientation and amplitude are achieved. Existing
theoretical models are expanded to specific boundary conditions (adhesive vs
slippery) and rationalize these observations.
|
cond-mat.soft
|
wrinkling patterns at the metallized surface of thin polymer films are shown to be sensitive to the sticky or slippery character of the polymersubstrate interface titanium coating polystyrene film and coated silicon substrate selective prefered wrinkle orientation and amplitude are achieved existing theoretical models are expanded to specific boundary conditions adhesive vs slippery and rationalize these observations
|
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|
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|
706.4233
|
Symmetry in semidefinite programs
|
This paper is a tutorial in a general and explicit procedure to simplify
semidefinite programs which are invariant under the action of a symmetry group.
The procedure is based on basic notions of representation theory of finite
groups. As an example we derive the block diagonalization of the Terwilliger
algebra of the binary Hamming scheme in this framework. Here its connection to
the orthogonal Hahn and Krawtchouk polynomials becomes visible.
|
math.OC math.CO
|
this paper is a tutorial in a general and explicit procedure to simplify semidefinite programs which are invariant under the action of a symmetry group the procedure is based on basic notions of representation theory of finite groups as an example we derive the block diagonalization of the terwilliger algebra of the binary hamming scheme in this framework here its connection to the orthogonal hahn and krawtchouk polynomials becomes visible
|
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|
[-0.16181489579778696, 0.06798924715777892, -0.15015470795333385, 0.05252925880652453, -0.12236294218538595, -0.1374774280935526, 0.049066855432465674, 0.37508239640987345, -0.3251486658484542, -0.21173088445461222, 0.14976581384627416, -0.19311775688215027, -0.23552708981026496, 0.1492457562691665, -0.0933057474305055, 0.03313898807973601, 0.03333548371946173, 0.08334440792511616, -0.17686807181952255, -0.25699153788653867, 0.3390980238826679, 0.07681187680656357, 0.26104112909774163, 0.012320050998823717, 0.13145712148398161, 0.05505497830121645, -0.04828027860660638, -0.0642222985492221, -0.09024081696490092, 0.15196101973831122, 0.2790762903368367, 0.15465178856227016, 0.24849791833465654, -0.37364377177187375, -0.09879542091595275, 0.08949838536126273, 0.12981114009661335, 0.13116370033364677, -0.014876868218250041, -0.2708376858466571, 0.07310039570688137, -0.21918778391554952, -0.11362969867352929, -0.06275610012401428, 0.007620678842067718, -0.032862665657220146, -0.2934202404426677, 0.018872248660773038, 0.09411956827555384, 0.10764834682590195, -0.026763154172138977, -0.10002865953470713, 0.05217905792274646, 0.07090290142223239, 0.014200071558090194, 0.009367241158283182, 0.07838593499369122, -0.03279788763528424, -0.1471723914246208, 0.3996236914768815, -0.012493481786389435, -0.24297242595681123, 0.1274125505538125, -0.08561590253708086, -0.19671377477768276, 0.06736152240607356, 0.17405034785291978, 0.1915620121572699, -0.12326973295504494, 0.17574184480888236, -0.1321982569460358, 0.0981362317555717, 0.04203321933081108, 0.05817966509493999, 0.12772971021809748, 0.10095449171162077, 0.06122880496882967, 0.18650325081710303, 0.025729144354616956, -0.10504187404045037, -0.3296140991151333, -0.18875119084758418, -0.16904376200400292, 0.02922348231077194, -0.10966409813637645, -0.17900513238938792, 0.4317439096698633, 0.1042642972565123, 0.12166643355033427, 0.12881923858242642, 0.27679625565984417, 0.131883966069602, 0.052049074115763816, 0.02982528515692268, 0.11813480633177928, 0.2619532459016357, 0.007857466615470392, -0.21212007532428417, -0.020596892769182366, 0.19567434354020016]
|
706.4234
|
Indicative Surfaces for Crystal Optical Effects
|
This paper has mainly a pedagogical meaning. Our aim is to demonstrate a
correct general approach for constructing indicative surfaces of higher-rank
tensors. We reconstruct the surfaces of piezo-optic tensor for beta-BaB2O4 and
LiNbO3 crystals, which have been incorrectly presented in our recent papers.
|
physics.optics physics.gen-ph
|
this paper has mainly a pedagogical meaning our aim is to demonstrate a correct general approach for constructing indicative surfaces of higherrank tensors we reconstruct the surfaces of piezooptic tensor for betabab2o4 and linbo3 crystals which have been incorrectly presented in our recent papers
|
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|
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|
706.4235
|
Effect of hydrostatic pressure on elastic properties of ZDTP tribofilms
|
Previous studies have shown that the elastic properties of Zinc
Dialkyl-dithiophosphate (ZDTP) tribofilms measured by nanoindentation increase
versus applied pressure (Anvil effect) [1, 2]. The aim of this paper is to
demonstrate that, up to 8 GPa, this increase is a reversible phenomenon. A ZDTP
tribofilm has been produced on "AISI 52100" steel substrate using a
Cameron-Plint tribometer. After its formation, a hydrostatic pressure of about
8 GPa was applied during one minute on the tribofilm using a large radius steel
ball ("Brinell-like" test). Nanoindentation tests were performed with a
Berkovich tip on pads in order to measure and compare the mechanical properties
of the tribofilm inside and outside the macroscopic plastically deformed area.
Careful AFM observations have been carried out on each indent in order to take
into account actual contact area. No difference in elastic properties was
observed between the two areas: tribofilm modulus and pressure sensitivity are
the same inside and outside the residual hemispherical print. This demonstrates
that Anvil effect is a reversible phenomenon in the studied pressure range.
|
physics.class-ph
|
previous studies have shown that the elastic properties of zinc dialkyldithiophosphate zdtp tribofilms measured by nanoindentation increase versus applied pressure anvil effect 1 2 the aim of this paper is to demonstrate that up to 8 gpa this increase is a reversible phenomenon a zdtp tribofilm has been produced on aisi 52100 steel substrate using a cameronplint tribometer after its formation a hydrostatic pressure of about 8 gpa was applied during one minute on the tribofilm using a large radius steel ball brinelllike test nanoindentation tests were performed with a berkovich tip on pads in order to measure and compare the mechanical properties of the tribofilm inside and outside the macroscopic plastically deformed area careful afm observations have been carried out on each indent in order to take into account actual contact area no difference in elastic properties was observed between the two areas tribofilm modulus and pressure sensitivity are the same inside and outside the residual hemispherical print this demonstrates that anvil effect is a reversible phenomenon in the studied pressure range
|
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|
[-0.07130846906729421, 0.13564645879885215, -0.1086997988851306, -0.025188048041152385, -0.022524863615364373, -0.06802791222918801, 0.06838609272137307, 0.4213762005824529, -0.2374173707578298, -0.3127868594978183, 0.08795794348572632, -0.31368933378127656, -0.09703082328628816, 0.1821105172578803, -0.04937132342556815, 0.06453140211273486, 0.011648654914042818, 0.010782104855525993, -0.07466754453496528, -0.24713107129742953, 0.21267088655031058, 0.08303530101035582, 0.3295276276390821, 0.08184602334091585, 0.08413345281809881, -0.04819059192933544, 0.033974528050574354, 0.0916148197445405, -0.17285333358062102, 0.028263150218004237, 0.19407933871930988, -0.0024991201900481106, 0.25992469088324976, -0.45686021612254446, -0.24399466102128614, 0.05730537811718033, 0.055109655046779775, 0.036880639844579614, -0.05246221870992578, -0.22744257463989948, 0.12460640315133743, -0.12721507242200394, -0.1392757736096259, -0.034011876126918604, 0.030452111556088762, -0.004008474754180737, -0.1815232627970741, 0.0752894820584107, 0.03248747792213452, 0.1316692326399135, -0.09203957529629798, -0.12558084909957876, -0.015295091891678016, 0.08294092342369035, 0.03796503382935718, 0.053922613968370024, 0.24339427242005343, -0.0445656291485212, -0.04403241059162882, 0.36761393910831586, -0.015204136639423558, -0.09590916302174324, 0.15593200425399903, -0.17602814895429922, -0.08354480309735336, 0.18611567652460834, 0.1568731318094104, 0.055514271390585304, -0.162259257749883, 0.04518634395556759, 0.007736956467154899, 0.22133334832263185, 0.1602573035951302, -0.09241441031429962, 0.19325847358269962, 0.21726799248731668, -0.015434975257634135, 0.20355400602398774, -0.14650812728085114, -0.023668265070565447, -0.2560463333167805, -0.17847992033658627, -0.14344739167348755, 0.050132886070930985, -0.06321011455192839, -0.1347177386077185, 0.3130362592637539, 0.09567252474887196, 0.18752411251725953, -0.045515763128600166, 0.2548966526003655, 0.013512661382221354, 0.12478216428345928, 0.004424420585521235, 0.3264116474377092, 0.17756695721387686, 0.1315476244572037, -0.22733374605579915, 0.08553628672003567, 0.003614301729144272]
|
706.4236
|
t-J model then and now: A personal perspective from the pioneering times
|
In this overview I sketch briefly the path to the so-called {\em t-J model}
derived for the first time 30 years ago and provide its original meaning within
the theory of strongly correlated magnetic metals with a non-Fermi (non-Landau)
liquid ground state. An emergence of the concept of {\em real space pairing},
is discussed in a historical prospective. A generalization of this model to the
many-orbital situation is briefly discussed. The emphasis is put on didactical
exposition of ideas, as they were transformed into mathematical language. The
concept of {\em hybrid pairing} is introduced in the same context at the end.
|
cond-mat.str-el
|
in this overview i sketch briefly the path to the socalled em tj model derived for the first time 30 years ago and provide its original meaning within the theory of strongly correlated magnetic metals with a nonfermi nonlandau liquid ground state an emergence of the concept of em real space pairing is discussed in a historical prospective a generalization of this model to the manyorbital situation is briefly discussed the emphasis is put on didactical exposition of ideas as they were transformed into mathematical language the concept of em hybrid pairing is introduced in the same context at the end
|
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|
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|
706.4237
|
On-sky observations with an achromatic hybrid phase knife coronagraph in
the visible
|
CONTEXT: The four-quadrant phase mask stellar coronagraph, introduced by D.
Rouan et al., is capable of achieving very high dynamical range imaging and was
studied in the context of the direct detection of extra-solar planets.
Achromatic four-quadrant phase mask is currently being developed for broadband
IR applications. AIMS: We report on laboratory and on-sky tests of a prototype
coronagraph in the visible. This prototype, the achromatic hybrid phase knife
coronagraph, was derived from the four-quadrant phase mask principle. METHODS:
The instrumental setup implementing the coronagraph itself was designed to
record the pre- and post-coronagraphic images simultaneously so that an
efficient real-time image selection procedure can be performed. We describe the
coronagraph and the associated tools that enable robust and repeatable
observations. We present an algorithm of image selection that has been tested
against the real on-sky data of the binary star HD80081 (* 38 Lyn). RESULTS
Although the observing conditions were poor, the efficiency of the proposed
method is proven. From this experiment, we derive procedures that can apply to
future focal instruments associating adaptive optics and coronagraphy,
targeting high dynamic range imaging in astronomy, such as detecting
extra-solar planets.
|
astro-ph
|
context the fourquadrant phase mask stellar coronagraph introduced by d rouan et al is capable of achieving very high dynamical range imaging and was studied in the context of the direct detection of extrasolar planets achromatic fourquadrant phase mask is currently being developed for broadband ir applications aims we report on laboratory and onsky tests of a prototype coronagraph in the visible this prototype the achromatic hybrid phase knife coronagraph was derived from the fourquadrant phase mask principle methods the instrumental setup implementing the coronagraph itself was designed to record the pre and postcoronagraphic images simultaneously so that an efficient realtime image selection procedure can be performed we describe the coronagraph and the associated tools that enable robust and repeatable observations we present an algorithm of image selection that has been tested against the real onsky data of the binary star hd80081 38 lyn results although the observing conditions were poor the efficiency of the proposed method is proven from this experiment we derive procedures that can apply to future focal instruments associating adaptive optics and coronagraphy targeting high dynamic range imaging in astronomy such as detecting extrasolar planets
|
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|
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|
706.4238
|
Immediate Calculation of some Poisson Type Integrals Using
Supermathematics Circular Ex-Centric Functions
|
This article presents two methods, in parallel, of solving more complex
integrals, among which is the Poisson's integral, in order to emphasize the
obvious advantages of a new method of integration, which uses the
supermathematics circular ex-centric functions.
|
math.GM
|
this article presents two methods in parallel of solving more complex integrals among which is the poissons integral in order to emphasize the obvious advantages of a new method of integration which uses the supermathematics circular excentric functions
|
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|
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|
706.4239
|
Quantum Unique Ergodicity for Eisenstein Series on the Hilbert Modular
Group over a Totally Real Field
|
W. Luo and P. Sarnak have proved the quantum unique ergodicity property for
Eisenstein series on $\rm{PSL}(2,\mathbb{Z}) \backslash H$. We extend their
result to Eisenstein series on $\rm{PSL}(2,O) \backslash H^n$, where $O$ is the
ring of integers in a totally real field of degree $n$ over $Q$ with narrow
class number one, using the Eisenstein series considered by I. Efrat. We also
give an expository treatment of the theory of Hecke operators on
non-holomorphic Hilbert modular forms.
|
math.NT
|
w luo and p sarnak have proved the quantum unique ergodicity property for eisenstein series on rmpsl2mathbbz backslash h we extend their result to eisenstein series on rmpsl2o backslash hn where o is the ring of integers in a totally real field of degree n over q with narrow class number one using the eisenstein series considered by i efrat we also give an expository treatment of the theory of hecke operators on nonholomorphic hilbert modular forms
|
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|
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|
706.424
|
High-temperature excess current and quantum suppression of electronic
backscattering in a 1-D system
|
We consider the electronic current through a one-dimensional conductor in the
ballistic transport regime and show that the quantum oscillations of a weakly
pinned single scattering target results in a temperature- and bias-voltage
independent excess current at large bias voltages. This is a genuine effect on
transport that derives from an exponential reduction of electronic
backscattering in the elastic channel due to quantum delocalization of the
scatterer and from suppression of low-energy electron backscattering in the
inelastic channels caused by the Pauli exclusion principle. We show that both
the mass of the target and the frequency of its quantum vibrations can be
measured by studying the differential conductance and the excess current. We
apply our analysis to the particular case of a weakly pinned C60 molecule
encapsulated by a single-wall carbon nanotube and find that the discussed
phenomena are experimentally observable.
|
cond-mat.mes-hall
|
we consider the electronic current through a onedimensional conductor in the ballistic transport regime and show that the quantum oscillations of a weakly pinned single scattering target results in a temperature and biasvoltage independent excess current at large bias voltages this is a genuine effect on transport that derives from an exponential reduction of electronic backscattering in the elastic channel due to quantum delocalization of the scatterer and from suppression of lowenergy electron backscattering in the inelastic channels caused by the pauli exclusion principle we show that both the mass of the target and the frequency of its quantum vibrations can be measured by studying the differential conductance and the excess current we apply our analysis to the particular case of a weakly pinned c60 molecule encapsulated by a singlewall carbon nanotube and find that the discussed phenomena are experimentally observable
|
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|
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|
706.4241
|
The role of thermal pressure in jet launching
|
I present and discuss a unified scheme for jet launching that is based on
stochastic dissipation of the accretion disk kinetic energy, mainly via shock
waves. In this scheme, termed thermally-launched jet model, the kinetic energy
of the accreted mass is transferred to internal energy, e.g., heat or magnetic
energy. The internal energy accelerates a small fraction of the accreted mass
to high speeds and form jets. For example, thermal energy forms a pressure
gradient that accelerates the gas. A second acceleration stage is possible
wherein the primary outflow stretches magnetic field lines. The field lines
then reconnect and accelerate small amount of mass to very high speeds. This
double-stage acceleration process might form highly relativistic jets from
black holes and neutron stars. The model predicts that detail analysis of
accreting brown dwarfs that launch jets will show the mass accretion rate to be
larger than 10^{-9}-10^{-8} Mo/year, which is higher than present claims in the
literature.
|
astro-ph
|
i present and discuss a unified scheme for jet launching that is based on stochastic dissipation of the accretion disk kinetic energy mainly via shock waves in this scheme termed thermallylaunched jet model the kinetic energy of the accreted mass is transferred to internal energy eg heat or magnetic energy the internal energy accelerates a small fraction of the accreted mass to high speeds and form jets for example thermal energy forms a pressure gradient that accelerates the gas a second acceleration stage is possible wherein the primary outflow stretches magnetic field lines the field lines then reconnect and accelerate small amount of mass to very high speeds this doublestage acceleration process might form highly relativistic jets from black holes and neutron stars the model predicts that detail analysis of accreting brown dwarfs that launch jets will show the mass accretion rate to be larger than 109108 moyear which is higher than present claims in the literature
|
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|
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|
706.4242
|
An application of transverse-momentum-dependent evolution equations in
QCD
|
The properties and behaviour of the solutions of the recently obtained
$k_t$-dependent evolution equations are investigated. When used to reproduce
transverse momentum spectra of hadrons in Semi-Inclusive DIS, an encouraging
agreement with data is found. The present analysis also supports at the
phenomenological level the factorization properties of the Semi-Inclusive DIS
cross-sections in terms of $k_t$-dependent distributions. Further improvements
and possible developments of the proposed evolution equations are envisaged.
|
hep-ph
|
the properties and behaviour of the solutions of the recently obtained k_tdependent evolution equations are investigated when used to reproduce transverse momentum spectra of hadrons in semiinclusive dis an encouraging agreement with data is found the present analysis also supports at the phenomenological level the factorization properties of the semiinclusive dis crosssections in terms of k_tdependent distributions further improvements and possible developments of the proposed evolution equations are envisaged
|
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|
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|
706.4243
|
Massless Wave States of Two-Fermion Systems
|
It is known that in the ladder approximation the relativistic two-fermion
bound-state equation of Bethe and Salpeter has solutions corresponding to the
binding energy equal to the total mass of the particles. The study of these
massless states has been carried out only for the bound system at rest. Of
course, such composite boson can not be in the state of rest. But it is more
importantly that this approach for the massless boson can not be interpreted as
the limiting case of a nonzero mass system because the phase velocity of the
boson wave must equal to the speed of light. Using the Bethe-Salpeter equation
in the ladder approximation, we have obtained the wave equation for the
massless bound states of two fermions with equal masses and the electromagnetic
interaction between them. Neglecting retardation of the interaction, solutions
corresponded to the stationary wave states of the composite boson, have been
found. The boson wave function can be represented as an infinite, straight
thread, the transverse radius of which is more than the Compton wavelength of
the fermion. Two energy branches of the bosons with quantized energies have
been determined. The appearance of these branches is due to the strong
renormalization of the fine structure constant for the massless states.
|
hep-th
|
it is known that in the ladder approximation the relativistic twofermion boundstate equation of bethe and salpeter has solutions corresponding to the binding energy equal to the total mass of the particles the study of these massless states has been carried out only for the bound system at rest of course such composite boson can not be in the state of rest but it is more importantly that this approach for the massless boson can not be interpreted as the limiting case of a nonzero mass system because the phase velocity of the boson wave must equal to the speed of light using the bethesalpeter equation in the ladder approximation we have obtained the wave equation for the massless bound states of two fermions with equal masses and the electromagnetic interaction between them neglecting retardation of the interaction solutions corresponded to the stationary wave states of the composite boson have been found the boson wave function can be represented as an infinite straight thread the transverse radius of which is more than the compton wavelength of the fermion two energy branches of the bosons with quantized energies have been determined the appearance of these branches is due to the strong renormalization of the fine structure constant for the massless states
|
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|
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|
706.4244
|
Behind Pvlas
|
We offer a detailed review of the physics behind the PVLAS experiment. We
also address some laboratory and astrophysical cross-checks for the recent
claim concerning a signal consistent with an Axion-Like Particle. Our aim is
that the leading role played by Emilio (Mimmo) Zavattini in this field of
research will become apparent.
|
hep-ph
|
we offer a detailed review of the physics behind the pvlas experiment we also address some laboratory and astrophysical crosschecks for the recent claim concerning a signal consistent with an axionlike particle our aim is that the leading role played by emilio mimmo zavattini in this field of research will become apparent
|
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|
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|
706.4245
|
Conformal Invariance = Finiteness and Beta Deformed N=4 SYM Theory
|
We claim that if by a choice of the couplings the theory can be made
conformally invariant (vanishing of the beta functions) it is automatically
finite and vice versa. This is demonstrated by explicit example in
supersymmetric gauge theory. The formalism is then applied to the beta deformed
${\cal N}=4$ SYM theory and it is shown that the requirement of conformal
invariance = finiteness can be achieved for any complex parameter of
deformations.
|
hep-th
|
we claim that if by a choice of the couplings the theory can be made conformally invariant vanishing of the beta functions it is automatically finite and vice versa this is demonstrated by explicit example in supersymmetric gauge theory the formalism is then applied to the beta deformed cal n4 sym theory and it is shown that the requirement of conformal invariance finiteness can be achieved for any complex parameter of deformations
|
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|
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|
706.4246
|
High-Speed Optical Spectroscopy
|
The large surveys and sensitive instruments of modern astronomy are turning
ever more examples of variable objects, many of which are extending the
parameter space to testing theories of stellar evolution and accretion. Future
projects such as the Laser Interferometer Space Antenna (LISA) and the Large
Synoptic Survey Telescope (LSST) will only add more challenging candidates to
this list. Understanding such objects often requires fast spectroscopy, but the
trend for ever larger detectors makes this difficult. In this contribution I
outline the science made possible by high-speed spectroscopy, and consider how
a combination of the well-known progress in computer technology combined with
recent advances in CCD detectors may finally enable it to become a standard
tool of astrophysics.
|
astro-ph
|
the large surveys and sensitive instruments of modern astronomy are turning ever more examples of variable objects many of which are extending the parameter space to testing theories of stellar evolution and accretion future projects such as the laser interferometer space antenna lisa and the large synoptic survey telescope lsst will only add more challenging candidates to this list understanding such objects often requires fast spectroscopy but the trend for ever larger detectors makes this difficult in this contribution i outline the science made possible by highspeed spectroscopy and consider how a combination of the wellknown progress in computer technology combined with recent advances in ccd detectors may finally enable it to become a standard tool of astrophysics
|
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|
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|
706.4247
|
Subgroup separability in residually free groups
|
We prove that the finitely presentable subgroups of residually free groups
are separable and that the subgroups of type $\mathrm{FP}_\infty$ are virtual
retracts. We describe a uniform solution to the membership problem for finitely
presentable subgroups of residually free groups.
|
math.GR
|
we prove that the finitely presentable subgroups of residually free groups are separable and that the subgroups of type mathrmfp_infty are virtual retracts we describe a uniform solution to the membership problem for finitely presentable subgroups of residually free groups
|
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|
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|
706.4248
|
Gap Formation in the Dust Layer of 3D Protoplanetary Disks
|
We numerically model the evolution of dust in a protoplanetary disk using a
two-phase (gas+dust) Smoothed Particle Hydrodynamics (SPH) code, which is
non-self-gravitating and locally isothermal. The code follows the three
dimensional distribution of dust in a protoplanetary disk as it interacts with
the gas via aerodynamic drag. In this work, we present the evolution of a disk
comprising 1% dust by mass in the presence of an embedded planet for two
different disk configurations: a small, minimum mass solar nebular (MMSN) disk
and a larger, more massive Classical T Tauri star (CTTS) disk. We then vary the
grain size and planetary mass to see how they effect the resulting disk
structure. We find that gap formation is much more rapid and striking in the
dust layer than in the gaseous disk and that a system with a given stellar,
disk and planetary mass will have a different appearance depending on the grain
size and that such differences will be detectable in the millimetre domain with
ALMA. For low mass planets in our MMSN models, a gap can open in the dust disk
while not in the gas disk. We also note that dust accumulates at the external
edge of the planetary gap and speculate that the presence of a planet in the
disk may facilitate the growth of planetesimals in this high density region.
|
astro-ph
|
we numerically model the evolution of dust in a protoplanetary disk using a twophase gasdust smoothed particle hydrodynamics sph code which is nonselfgravitating and locally isothermal the code follows the three dimensional distribution of dust in a protoplanetary disk as it interacts with the gas via aerodynamic drag in this work we present the evolution of a disk comprising 1 dust by mass in the presence of an embedded planet for two different disk configurations a small minimum mass solar nebular mmsn disk and a larger more massive classical t tauri star ctts disk we then vary the grain size and planetary mass to see how they effect the resulting disk structure we find that gap formation is much more rapid and striking in the dust layer than in the gaseous disk and that a system with a given stellar disk and planetary mass will have a different appearance depending on the grain size and that such differences will be detectable in the millimetre domain with alma for low mass planets in our mmsn models a gap can open in the dust disk while not in the gas disk we also note that dust accumulates at the external edge of the planetary gap and speculate that the presence of a planet in the disk may facilitate the growth of planetesimals in this high density region
|
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|
[-0.08039673659484833, 0.14261883964147679, -0.06453824869708115, 0.06024991275949611, -0.042580896778446106, -0.04343641850683424, -0.015664880680334236, 0.3758909638153596, -0.22587662372531161, -0.3325219033948249, 0.07519897798128013, -0.2199959670338366, -0.059781392245656914, 0.1573238673304311, -0.05924227319256817, 0.017103981307397285, 0.07740733009556101, -0.11810995055466063, -0.04836906648913605, -0.247856344823829, 0.3538306402435733, 0.08331870600581169, 0.04912279833936029, 0.0325070991470582, 0.025832531510645317, -0.1251064308784488, -0.012315027011144493, -0.02169759170255727, -0.20707771535733224, 0.04407234768072764, 0.17380447312848346, 0.0816320797237697, 0.22030312070209118, -0.44101951889693736, -0.2554775968194008, 0.039847424920234416, 0.19352754240338174, 0.06412274962549822, -0.07893109549005102, -0.16044592180599768, 0.09100209599050382, -0.2310097725611801, -0.1619125733203772, 0.10731625351640914, 0.08434158920620878, -0.027894433966527382, -0.27544992078018066, 0.09220656892168336, 0.10088402834410469, 0.0848683839239594, -0.12206963370140228, -0.07828970485004699, -0.11687727708059052, 0.06608220415345083, 0.0142913222224969, 0.06463897673413158, 0.2568801955754558, -0.14798405316389915, 0.007842793826841646, 0.4064554241309977, -0.11843342322888525, -0.1297419976360268, 0.287138117618031, -0.26489223854616284, -0.1101412358838651, 0.14801857726131049, 0.1927477723132405, 0.12031693936636051, -0.11973814072734158, 0.03297297519023737, -0.09352673850177477, 0.21715187130651126, 0.07284233753465943, 0.022449821747011607, 0.38887707595196036, 0.15156738933589722, 0.04956445726979938, 0.14769782322096742, -0.2032953058053843, -0.10691759358237808, -0.21797080527784096, -0.18403039537577165, -0.1698037079287072, 0.04234140539030907, -0.15420415523306777, -0.16166926218817632, 0.3245450526331034, 0.1371207373123616, 0.23113554681754775, 0.030179522892770667, 0.31891896433300443, 0.07293000082381898, 0.1114137149684959, 0.1846448595304456, 0.2674638542988234, 0.10863679699082342, 0.1395010464421163, -0.2864898885300176, 0.08342762579934465, -0.0065929595329281354]
|
706.4249
|
Solution of the Unanimity Rule on exponential, uniform and scalefree
networks: A simple model for biodiversity collapse in foodwebs
|
We solve the Unanimity Rule on networks with exponential, uniform and
scalefree degree distributions. In particular we arrive at equations relating
the asymptotic number of nodes in one of two states to the initial fraction of
nodes in this state. The solutions for exponential and uniform networks are
exact, the approximation for the scalefree case is in perfect agreement with
simulation results. We use these solutions to provide a theoretical
understanding for experimental data on biodiversity loss in foodwebs, which is
available for the three network types discussed. The model allows in principle
to estimate the critical value of species that have to be removed from the
system to induce its complete collapse.
|
physics.bio-ph q-bio.PE
|
we solve the unanimity rule on networks with exponential uniform and scalefree degree distributions in particular we arrive at equations relating the asymptotic number of nodes in one of two states to the initial fraction of nodes in this state the solutions for exponential and uniform networks are exact the approximation for the scalefree case is in perfect agreement with simulation results we use these solutions to provide a theoretical understanding for experimental data on biodiversity loss in foodwebs which is available for the three network types discussed the model allows in principle to estimate the critical value of species that have to be removed from the system to induce its complete collapse
|
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|
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|
706.425
|
n alpha Resonating-Group Calculation with a Quark-Model G-Matrix NN
Interaction
|
We calculate n alpha phase-shifts and scattering observables in the
resonating-group method, using the nuclear-matter G-matrix of an SU_6
quark-model NN interaction. The G-matrix is generated in the recent
energy-independent procedure of the quark-model NN interaction with the
continuous prescription for intermediate spectra, by assuming an appropriate
Fermi momentum k_F=1.2 fm^-1. The n alpha RGM interaction kernels are evaluated
with explicit treatments of the nonlocality and momentum dependence of
partial-wave G-matrix components. The momentum dependence of the G-matrix
components is different for each of the nucleon-exchange and interaction types.
Without introducing any artificial parameters except for k_F, the central and
spin-orbit components of the n alpha Born kernel are found to have reasonable
strengths under the assumption of a rigid translationally invariant shell-model
wave function of the alpha-cluster. The characteristic behaviors of three
different exchange terms, corresponding to knockout, heavy-particle pickup and
nucleon-rearrangement processes, are essentially the same between the case of
previous local effective NN forces and the case of nonlocal G-matrix NN
interactions.
|
nucl-th
|
we calculate n alpha phaseshifts and scattering observables in the resonatinggroup method using the nuclearmatter gmatrix of an su_6 quarkmodel nn interaction the gmatrix is generated in the recent energyindependent procedure of the quarkmodel nn interaction with the continuous prescription for intermediate spectra by assuming an appropriate fermi momentum k_f12 fm1 the n alpha rgm interaction kernels are evaluated with explicit treatments of the nonlocality and momentum dependence of partialwave gmatrix components the momentum dependence of the gmatrix components is different for each of the nucleonexchange and interaction types without introducing any artificial parameters except for k_f the central and spinorbit components of the n alpha born kernel are found to have reasonable strengths under the assumption of a rigid translationally invariant shellmodel wave function of the alphacluster the characteristic behaviors of three different exchange terms corresponding to knockout heavyparticle pickup and nucleonrearrangement processes are essentially the same between the case of previous local effective nn forces and the case of nonlocal gmatrix nn interactions
|
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|
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|
706.4251
|
Gradient expansion approach to multiple-band Fermi liquids
|
Promoted by the recent progress of Berry phase physics in spin
galvanomagnetic communities, we develop a systematic derivation of the reduced
Keldysh equation (RKE) which captures the low-energy dynamics of
quasi-particles constrained within doubly degenerate bands forming a single
Fermi surface. Specifically, we project out the fully occupied/empty band
degrees of freedom perturbatively in the gradient expansion, whose coupling
constant measures how a system is disequilibrated. As for the electron-electron
interactions, however, we only employ the so-called adiabatic assumption of the
Fermi liquid theory, so that the effect of electron correlations onto the
adiabatic transport of quasi-particles, i.e. the hermitian (real) part of the
self-energy, is taken into account in an unbiased manner.
|
cond-mat.str-el cond-mat.mes-hall
|
promoted by the recent progress of berry phase physics in spin galvanomagnetic communities we develop a systematic derivation of the reduced keldysh equation rke which captures the lowenergy dynamics of quasiparticles constrained within doubly degenerate bands forming a single fermi surface specifically we project out the fully occupiedempty band degrees of freedom perturbatively in the gradient expansion whose coupling constant measures how a system is disequilibrated as for the electronelectron interactions however we only employ the socalled adiabatic assumption of the fermi liquid theory so that the effect of electron correlations onto the adiabatic transport of quasiparticles ie the hermitian real part of the selfenergy is taken into account in an unbiased manner
|
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|
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|
706.4252
|
Mach cones in Heavy Ion Collisions
|
MACE, a model for the propagation of mach cones in the velocity field of
heavy ion collisions (as created by hydrodynamical models) is explained. It is
tested on an analytical test case (static medium) and applied to velocity
fields created by the Particle-in-Cell model from LHC and RHIC initial
conditions.
|
nucl-th
|
mace a model for the propagation of mach cones in the velocity field of heavy ion collisions as created by hydrodynamical models is explained it is tested on an analytical test case static medium and applied to velocity fields created by the particleincell model from lhc and rhic initial conditions
|
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|
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|
706.4253
|
Exact ground state density functional theory for impurity models coupled
to external reservoirs and transport calculations
|
A method is presented, which employs the density matrix renormalization group
technique in order to construct exact ground state exchange correlation
functionals for models of correlated electron systems coupled to external
reservoirs. The technique is applied to the M-site resonant level model. We
calculate its exact Kubo-conductance, which is available within DMRG, and
compare to the single-particle conductance obtained from Kohn-Sham energies and
orbitals of the exact ground state density functional theory (DFT). It is found
that the position of transport resonances is reproduced essentially exactly,
while deviations in the level broadening can be less than 1% and do not exceed
10%. Our findings lend strong support to a recently held point of view, namely
that approximations in the ground state functionals used in DFT based transport
calculations can lead to drastic errors in transport calculations while
exchange correlation contributions to the induced effective potential tend to
be less significant.
|
cond-mat.mes-hall cond-mat.str-el
|
a method is presented which employs the density matrix renormalization group technique in order to construct exact ground state exchange correlation functionals for models of correlated electron systems coupled to external reservoirs the technique is applied to the msite resonant level model we calculate its exact kuboconductance which is available within dmrg and compare to the singleparticle conductance obtained from kohnsham energies and orbitals of the exact ground state density functional theory dft it is found that the position of transport resonances is reproduced essentially exactly while deviations in the level broadening can be less than 1 and do not exceed 10 our findings lend strong support to a recently held point of view namely that approximations in the ground state functionals used in dft based transport calculations can lead to drastic errors in transport calculations while exchange correlation contributions to the induced effective potential tend to be less significant
|
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|
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|
706.4254
|
X-ray Tail in NGC 7619
|
We present new observational results of NGC 7619, an elliptical galaxy with a
prominent X-ray tail and a dominant member of the Pegasus group. With Chandra
and XMM-Newton observations, we confirm the presence of a long X-ray tail in
the SW direction; moreover, we identify for the first time a sharp
discontinuity of the X-ray surface brightness in the opposite (NE) side of the
galaxy. The density, temperature and pressure jump at the NE discontinuity
suggest a Mach number ~1, corresponding to a galaxy velocity of ~500 km s-1,
relative to the surrounding hot gas. Spectral analysis of these data shows that
the Iron abundance of the hot gaseous medium is much higher (1-2 solar) near
the center of NGC 7619 and in the tail extending from the core than in the
surrounding regions (< 1/2 solar), indicating that the gas in the tail is
originated from the galaxy. The possible origin of the head-tail structure is
either on-going ram-pressure stripping or sloshing. The morphology of the
structure is more in line with a ram pressure stripping phenomenon, while the
position of NGC 7619 at the center of the Pegasus I group, and its dominance,
would prefer sloshing.
|
astro-ph
|
we present new observational results of ngc 7619 an elliptical galaxy with a prominent xray tail and a dominant member of the pegasus group with chandra and xmmnewton observations we confirm the presence of a long xray tail in the sw direction moreover we identify for the first time a sharp discontinuity of the xray surface brightness in the opposite ne side of the galaxy the density temperature and pressure jump at the ne discontinuity suggest a mach number 1 corresponding to a galaxy velocity of 500 km s1 relative to the surrounding hot gas spectral analysis of these data shows that the iron abundance of the hot gaseous medium is much higher 12 solar near the center of ngc 7619 and in the tail extending from the core than in the surrounding regions 12 solar indicating that the gas in the tail is originated from the galaxy the possible origin of the headtail structure is either ongoing rampressure stripping or sloshing the morphology of the structure is more in line with a ram pressure stripping phenomenon while the position of ngc 7619 at the center of the pegasus i group and its dominance would prefer sloshing
|
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|
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|
706.4255
|
Quantum key distribution over 25 km with an all-fiber
continuous-variable system
|
We report on the implementation of a reverse-reconciliated coherent-state
continuous-variable quantum key distribution system, with which we generated
secret keys at a rate of more than 2 kb/s over 25 km of optical fiber. Time
multiplexing is used to transmit both the signal and phase reference in the
same optical fiber. Our system includes all experimental aspects required for a
field implementation of a quantum key distribution setup. Real-time reverse
reconciliation is achieved by using fast and efficient LDPC error correcting
codes.
|
quant-ph
|
we report on the implementation of a reversereconciliated coherentstate continuousvariable quantum key distribution system with which we generated secret keys at a rate of more than 2 kbs over 25 km of optical fiber time multiplexing is used to transmit both the signal and phase reference in the same optical fiber our system includes all experimental aspects required for a field implementation of a quantum key distribution setup realtime reverse reconciliation is achieved by using fast and efficient ldpc error correcting codes
|
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|
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|
706.4256
|
Double-gap superconducting proximity effect in nanotubes
|
We theoretically explore the possibility of a superconducting proximity
effect in single-walled metallic carbon nanotubes due to the presence of a
superconducting substrate. An unconventional double-gap situation can arise in
the two bands for nanotubes of large radius wherein the tunneling is (almost)
symmetric in the two sublattices. In such a case, a proximity effect can take
place in the symmetric band below a critical experimentally-accessible Coulomb
interaction strength in the nanotube. Furthermore, due to interactions in the
nanotube, the appearance of a BCS gap in this band stabilizes superconductivity
in the other band at lower temperatures. We also discuss the scenario of highly
asymmetric tunneling and show that this case too supports double-gap
superconductivity.
|
cond-mat.str-el cond-mat.supr-con
|
we theoretically explore the possibility of a superconducting proximity effect in singlewalled metallic carbon nanotubes due to the presence of a superconducting substrate an unconventional doublegap situation can arise in the two bands for nanotubes of large radius wherein the tunneling is almost symmetric in the two sublattices in such a case a proximity effect can take place in the symmetric band below a critical experimentallyaccessible coulomb interaction strength in the nanotube furthermore due to interactions in the nanotube the appearance of a bcs gap in this band stabilizes superconductivity in the other band at lower temperatures we also discuss the scenario of highly asymmetric tunneling and show that this case too supports doublegap superconductivity
|
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|
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|
706.4257
|
Isoperimetric profile and random walks on locally compact solvable
groups
|
We study a large class of amenable locally compact groups containing all
solvable algebraic groups over a local field and their discrete subgroups. We
show that the isoperimetric profile of these groups is in some sense optimal
among amenable groups. We use this fact to compute the probability of return of
symmetric random walks, and to derive various other geometric properties which
are likely to be only satisfied by these groups.
|
math.GR math.MG
|
we study a large class of amenable locally compact groups containing all solvable algebraic groups over a local field and their discrete subgroups we show that the isoperimetric profile of these groups is in some sense optimal among amenable groups we use this fact to compute the probability of return of symmetric random walks and to derive various other geometric properties which are likely to be only satisfied by these groups
|
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|
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|
706.4258
|
Characterization of two-dimensional fermionic insulating states
|
Inspired by the duality picture between superconductivity and insulator in
two spatial dimension, we conjecture that the order parameter, suitable for
characterizing 2D fermionic insulating state, is the disorder operator, usually
known in the context of statistical transformation. Namely, the change of the
phase of the disorder operator along a closed loop measures the particle
density accommodating inside this loop. Thus, identifying this (doped) particle
density with the dual counterpart of the magnetic induction in 2D SC, we can
naturally introduce the disorder operator as the dual order parameter of 2D
insulators. The disorder operator has a branch cut emitting from this
``vortex'' to the single infinitely far point. To test this conjecture against
an arbitrary 2D lattice models, we have chosen this branch cut to be compatible
with the periodic boundary condition and obtain a general form of its
expectation value for non-interacting metal/insulator wavefunction, including
gapped mean-field order wavefunction. Based on this expression, we observed
analytically that it indeed vanishes for a wide class of band metals in the
thermodynamic limit. In insulating states, on the other hand, it is quantified
by the localization length or the real-valued gauge invariant 2-from dubbed as
the quantum metric tensor.
|
cond-mat.str-el cond-mat.stat-mech
|
inspired by the duality picture between superconductivity and insulator in two spatial dimension we conjecture that the order parameter suitable for characterizing 2d fermionic insulating state is the disorder operator usually known in the context of statistical transformation namely the change of the phase of the disorder operator along a closed loop measures the particle density accommodating inside this loop thus identifying this doped particle density with the dual counterpart of the magnetic induction in 2d sc we can naturally introduce the disorder operator as the dual order parameter of 2d insulators the disorder operator has a branch cut emitting from this vortex to the single infinitely far point to test this conjecture against an arbitrary 2d lattice models we have chosen this branch cut to be compatible with the periodic boundary condition and obtain a general form of its expectation value for noninteracting metalinsulator wavefunction including gapped meanfield order wavefunction based on this expression we observed analytically that it indeed vanishes for a wide class of band metals in the thermodynamic limit in insulating states on the other hand it is quantified by the localization length or the realvalued gauge invariant 2from dubbed as the quantum metric tensor
|
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|
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|
706.4259
|
Quiver Gauge Theory and Conformality at the TeV Scale
|
This review describes the conformality approach to extending the standard
model of particle phenomenology using an assumption of no conformal anomaly at
high energy. Topics include quiver gauge theory, the conformality approach to
phenomenology, strong-electroweak unification at 4 TeV, cancellation of
quadratic divergences, cancellation of U(1) anomalies, and a dark matter
candidate.
|
hep-ph astro-ph gr-qc hep-th
|
this review describes the conformality approach to extending the standard model of particle phenomenology using an assumption of no conformal anomaly at high energy topics include quiver gauge theory the conformality approach to phenomenology strongelectroweak unification at 4 tev cancellation of quadratic divergences cancellation of u1 anomalies and a dark matter candidate
|
[['this', 'review', 'describes', 'the', 'conformality', 'approach', 'to', 'extending', 'the', 'standard', 'model', 'of', 'particle', 'phenomenology', 'using', 'an', 'assumption', 'of', 'no', 'conformal', 'anomaly', 'at', 'high', 'energy', 'topics', 'include', 'quiver', 'gauge', 'theory', 'the', 'conformality', 'approach', 'to', 'phenomenology', 'strongelectroweak', 'unification', 'at', '4', 'tev', 'cancellation', 'of', 'quadratic', 'divergences', 'cancellation', 'of', 'u1', 'anomalies', 'and', 'a', 'dark', 'matter', 'candidate']]
|
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|
706.426
|
Ultracold Bose gases in time-dependent 1D superlattices: response and
quasimomentum structure
|
The response of ultracold atomic Bose gases in time-dependent optical
lattices is discussed based on direct simulations of the time-evolution of the
many-body state in the framework of the Bose-Hubbard model. We focus on
small-amplitude modulations of the lattice potential as implemented in several
recent experiment and study different observables in the region of the first
resonance in the Mott-insulator phase. In addition to the energy transfer we
investigate the quasimomentum structure of the system which is accessible via
the matter-wave interference pattern after a prompt release. We identify
characteristic correlations between the excitation frequency and the
quasimomentum distribution and study their structure in the presence of a
superlattice potential.
|
cond-mat.stat-mech
|
the response of ultracold atomic bose gases in timedependent optical lattices is discussed based on direct simulations of the timeevolution of the manybody state in the framework of the bosehubbard model we focus on smallamplitude modulations of the lattice potential as implemented in several recent experiment and study different observables in the region of the first resonance in the mottinsulator phase in addition to the energy transfer we investigate the quasimomentum structure of the system which is accessible via the matterwave interference pattern after a prompt release we identify characteristic correlations between the excitation frequency and the quasimomentum distribution and study their structure in the presence of a superlattice potential
|
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|
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|
706.4261
|
Free flux flow magneto-resistance of single crystal BSCCO
|
Measurement of the free flux flow resistance in monocrystalline highly
anisotropic BSCCO reveals a low field magneto-resistive effect nearly 100 times
that expected from a naive application of the Bardeen-Stephen rule R/Rn =
B/Bc2. Furthermore in the vortex solid phase it saturates to a constant value
at about Hc2/100 as if the vortices were moving 100 times faster than expected.
An attempt to account for this behavior by a combination of sheared planar
vortex flow obeying the BS rule and the quasi-particle c axis conductivity
between the Josephson coupled superconducting planes is only partially
successful. In particular it is unable to account for the saturation feature
which occurs in both optimally and underdoped samples in the low temperature
vortex solid phase.
|
cond-mat.supr-con
|
measurement of the free flux flow resistance in monocrystalline highly anisotropic bscco reveals a low field magnetoresistive effect nearly 100 times that expected from a naive application of the bardeenstephen rule rrn bbc2 furthermore in the vortex solid phase it saturates to a constant value at about hc2100 as if the vortices were moving 100 times faster than expected an attempt to account for this behavior by a combination of sheared planar vortex flow obeying the bs rule and the quasiparticle c axis conductivity between the josephson coupled superconducting planes is only partially successful in particular it is unable to account for the saturation feature which occurs in both optimally and underdoped samples in the low temperature vortex solid phase
|
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|
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|
706.4262
|
The Heisenberg group and conformal field theory
|
A mathematical construction of the conformal field theory (CFT) associated to
a compact torus, also called the "nonlinear Sigma-model" or "lattice-CFT", is
given. Underlying this approach to CFT is a unitary modular functor, the
construction of which follows from a "Quantization commutes with reduction"-
type of theorem for unitary quantizations of the moduli spaces of holomorphic
torus-bundles and actions of loop groups. This theorem in turn is a consequence
of general constructions in the category of affine symplectic manifolds and
their associated generalized Heisenberg groups.
|
math-ph math.MP
|
a mathematical construction of the conformal field theory cft associated to a compact torus also called the nonlinear sigmamodel or latticecft is given underlying this approach to cft is a unitary modular functor the construction of which follows from a quantization commutes with reduction type of theorem for unitary quantizations of the moduli spaces of holomorphic torusbundles and actions of loop groups this theorem in turn is a consequence of general constructions in the category of affine symplectic manifolds and their associated generalized heisenberg groups
|
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|
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|
706.4263
|
CP violation in the B0s system
|
In this paper the most recent Tevatron results concerning CP violation in the
B0s system are reviewed. These are the measurement of the direct CP asymmetry
in the B0s->K-\pi+ decay performed by CDF and the measurement of \Delta\Gamma_s
and \phi_s performed by D0 in the B0s->J/\psi\phi decay.
|
hep-ex
|
in this paper the most recent tevatron results concerning cp violation in the b0s system are reviewed these are the measurement of the direct cp asymmetry in the b0skpi decay performed by cdf and the measurement of deltagamma_s and phi_s performed by d0 in the b0sjpsiphi decay
|
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|
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|
706.4264
|
Upper and lower bounds for the large polaron dispersion in $D=1,2,3$
dimensions
|
Numerical results for the polaron dispersion are presented for an arbitrary
number of space dimensions. Upper and lower bounds are calculated for the
dispersion curves. They are rather close to each other in the cases of small
electron-phonon couplings usual for real polar materials. To describe the
dispersion in other materials, we suggest a simple fitting formula which can be
applied at intermediate values of the Fr\"ohlich electron-phonon coupling
constant. Its validity is approved by the comparison with direct calculations
and previously obtained results. This makes our results not only reliable and
highly accurate but also easy reproducible.
|
cond-mat.other
|
numerical results for the polaron dispersion are presented for an arbitrary number of space dimensions upper and lower bounds are calculated for the dispersion curves they are rather close to each other in the cases of small electronphonon couplings usual for real polar materials to describe the dispersion in other materials we suggest a simple fitting formula which can be applied at intermediate values of the frohlich electronphonon coupling constant its validity is approved by the comparison with direct calculations and previously obtained results this makes our results not only reliable and highly accurate but also easy reproducible
|
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|
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|
706.4265
|
ASTE Submillimeter Observations of a Young Stellar Object Condensation
in Cederblad 110
|
We present results of submillimeter observations of a low-mass young stellar
objects (YSOs) condensation in the Cederblad 110 region of the Chamaeleon I
dark cloud with Atacama Submillimeter Telescope Experiment. Our HCO+(J=4-3) map
reveals a dense molecular gas with an extent of ~ 0.1 pc, which is a complex of
two envelopes associated with class I sources Ced110 IRS4 and IRS11 and a very
young object Cha-MMS1. The other two class I sources in this region, IRS6 and
NIR89, are located outside the clump and have no extended HCO+ emission. HCO+
abundance is calculated to be 2.6 x 10^{-10} for MMS1 and 3.4 x 10^{-9} for
IRS4, which are comparable to the reported value for other young sources.
Bipolar outflows from IRS4 and IRS6 are detected in our 12CO(J=3-2) map. The
outflow from IRS4 seems to collide with Cha-MMS1. The outflow has enough
momentum to affect gas motion in MMS1, although no sign has been detected to
indicate that a triggered star formation has occurred.
|
astro-ph
|
we present results of submillimeter observations of a lowmass young stellar objects ysos condensation in the cederblad 110 region of the chamaeleon i dark cloud with atacama submillimeter telescope experiment our hcoj43 map reveals a dense molecular gas with an extent of 01 pc which is a complex of two envelopes associated with class i sources ced110 irs4 and irs11 and a very young object chamms1 the other two class i sources in this region irs6 and nir89 are located outside the clump and have no extended hco emission hco abundance is calculated to be 26 x 1010 for mms1 and 34 x 109 for irs4 which are comparable to the reported value for other young sources bipolar outflows from irs4 and irs6 are detected in our 12coj32 map the outflow from irs4 seems to collide with chamms1 the outflow has enough momentum to affect gas motion in mms1 although no sign has been detected to indicate that a triggered star formation has occurred
|
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|
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|
706.4266
|
Fluctuating initial conditions in heavy-ion collisions from the Glauber
approach
|
In the framework of the Glauber approach we analyze the shape parameters of
the early-formed system and their event-by-event fluctuations. We test a
variety of models: the conventional wounded nucleon model, a model admixing
binary collisions to the wounded nucleons, a model with hot spots, as well as
the hot-spot model where the deposition of energy occurs with a superimposed
probability distribution. We look in detail at the so-called participant
multipole moments, obtained by an averaging procedure where in each event the
system is translated to its center of mass and aligned with the major principal
axis of the ellipse of inertia. Quantitative comparisons indicate substantial
relative effects for eccentricity in variants of Glauber models. On the other
hand, the dependence of the scaled standard deviation of the participant
eccentricity on the chosen model is weak. For all models the values range from
about 0.5 for the central collisions to about 0.3-0.4 for peripheral
collisions, both for the gold-gold and copper-copper collisions. They are
dominated by statistics and change only by 10-15% from model to model. We
provide an approximate analytic expansion for the multipole moments and their
fluctuations given in terms of the fixed-axes moments. For central collisions
and in the absence of correlations it gives the simple formula for the scaled
standard deviation of the participant eccentricity: sqrt(4/pi-1). Similarly, we
obtain expansions for the radial profiles of the multipole distributions. We
investigate the relevance of the shape-fluctuation effects for jet quenching
and find them important only for very central events. Finally, we argue how
smooth hydro leads to the known result v_4 ~ v_2^2, and further to the
prediction Delta v_4/v_4 = 2 Delta v_2/v_2.
|
nucl-th hep-ph nucl-ex
|
in the framework of the glauber approach we analyze the shape parameters of the earlyformed system and their eventbyevent fluctuations we test a variety of models the conventional wounded nucleon model a model admixing binary collisions to the wounded nucleons a model with hot spots as well as the hotspot model where the deposition of energy occurs with a superimposed probability distribution we look in detail at the socalled participant multipole moments obtained by an averaging procedure where in each event the system is translated to its center of mass and aligned with the major principal axis of the ellipse of inertia quantitative comparisons indicate substantial relative effects for eccentricity in variants of glauber models on the other hand the dependence of the scaled standard deviation of the participant eccentricity on the chosen model is weak for all models the values range from about 05 for the central collisions to about 0304 for peripheral collisions both for the goldgold and coppercopper collisions they are dominated by statistics and change only by 1015 from model to model we provide an approximate analytic expansion for the multipole moments and their fluctuations given in terms of the fixedaxes moments for central collisions and in the absence of correlations it gives the simple formula for the scaled standard deviation of the participant eccentricity sqrt4pi1 similarly we obtain expansions for the radial profiles of the multipole distributions we investigate the relevance of the shapefluctuation effects for jet quenching and find them important only for very central events finally we argue how smooth hydro leads to the known result v_4 v_22 and further to the prediction delta v_4v_4 2 delta v_2v_2
|
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|
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|
706.4267
|
A mixed problem for the infinity laplacian via Tug-of-War games
|
In this paper we prove that a function $ u\in\mathcal{C}(\bar{\Omega})$ is
the continuous value of the Tug-of-War game described in \cite{PSSW} if and
only if it is the unique viscosity solution to the infinity laplacian with
mixed boundary conditions
{-\Delta_{\infty}u(x)=0\quad & \text{in} \Omega,
\frac{\partial u}{\partial n}(x)=0\quad & \text{on} \Gamma_N, u(x)=F(x)\quad
& \text{on} \Gamma_D. By using the results in \cite{PSSW}, it follows that this
viscous PDE problem has a unique solution, which is the unique {\it absolutely
minimizing Lipschitz extension} to the whole $\bar{\Omega}$ (in the sense of
\cite{Aronsson} and \cite{PSSW}) of the boundary data $ F:\Gamma_D\to\R $.
|
math.AP
|
in this paper we prove that a function uinmathcalcbaromega is the continuous value of the tugofwar game described in citepssw if and only if it is the unique viscosity solution to the infinity laplacian with mixed boundary conditions delta_inftyux0quad textin omega fracpartial upartial nx0quad texton gamma_n uxfxquad texton gamma_d by using the results in citepssw it follows that this viscous pde problem has a unique solution which is the unique it absolutely minimizing lipschitz extension to the whole baromega in the sense of citearonsson and citepssw of the boundary data fgamma_dtor
|
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|
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|
706.4268
|
Theory of the Siegel Modular Variety
|
In this paper, we discuss the theory of the Siegel modular variety in the
aspects of arithmetic and geometry. This article covers the theory of Siegel
modular forms, the Hecke theory, a lifting of elliptic cusp forms, geometric
properties of the Siegel modular variety, (hypothetical) motives attached to
Siegel modular forms and a cohomology of the Siegel modular variety.
|
math.NT math.AG
|
in this paper we discuss the theory of the siegel modular variety in the aspects of arithmetic and geometry this article covers the theory of siegel modular forms the hecke theory a lifting of elliptic cusp forms geometric properties of the siegel modular variety hypothetical motives attached to siegel modular forms and a cohomology of the siegel modular variety
|
[['in', 'this', 'paper', 'we', 'discuss', 'the', 'theory', 'of', 'the', 'siegel', 'modular', 'variety', 'in', 'the', 'aspects', 'of', 'arithmetic', 'and', 'geometry', 'this', 'article', 'covers', 'the', 'theory', 'of', 'siegel', 'modular', 'forms', 'the', 'hecke', 'theory', 'a', 'lifting', 'of', 'elliptic', 'cusp', 'forms', 'geometric', 'properties', 'of', 'the', 'siegel', 'modular', 'variety', 'hypothetical', 'motives', 'attached', 'to', 'siegel', 'modular', 'forms', 'and', 'a', 'cohomology', 'of', 'the', 'siegel', 'modular', 'variety']]
|
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|
706.4269
|
Exploring the Di-Photon Decay of a Light Higgs Boson in the MSSM With
Explicit CP Violation
|
The di-photon decay channel of the lightest Higgs boson is considerd as a
probe to explore CP violation in the Minimal Supersymmetric Standard Model
(MSSM). The scalar/pseudo-scalar mixing is considered along with CP violation
entering through the Higgs-sfermion-sfermion couplings, with and without light
sparticles. The impact of a light stop on the decay width and Branching Ratio
(BR) is established through a detailed study of the amplitude of the process H1
--> gamma.gamma. The other sparticles have little influence even when they are
light. With a suitable combination of other MSSM parameters, a light stop can
change the BR by more than 50 % with a CP-violating phase phi_mu ~ 90 deg.,
while the change is almost nil with a heavy stop.
|
hep-ph
|
the diphoton decay channel of the lightest higgs boson is considerd as a probe to explore cp violation in the minimal supersymmetric standard model mssm the scalarpseudoscalar mixing is considered along with cp violation entering through the higgssfermionsfermion couplings with and without light sparticles the impact of a light stop on the decay width and branching ratio br is established through a detailed study of the amplitude of the process h1 gammagamma the other sparticles have little influence even when they are light with a suitable combination of other mssm parameters a light stop can change the br by more than 50 with a cpviolating phase phi_mu 90 deg while the change is almost nil with a heavy stop
|
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|
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|
706.427
|
Coherent Magnetization Precession in GaMnAs induced by Ultrafast Optical
Excitation
|
We use femtosecond optical pulses to induce, control and monitor
magnetization precession in ferromagnetic Ga0.965Mn0.035As. At temperatures
below ~40 K we observe coherent oscillations of the local Mn spins, triggered
by an ultrafast photoinduced reorientation of the in-plane easy axis. The
amplitude saturation of the oscillations above a certain pump intensity
indicates that the easy axis remains unchanged above ~TC/2. We find that the
observed magnetization precession damping (Gilbert damping) is strongly
dependent on pump laser intensity, but largely independent on ambient
temperature. We provide a physical interpretation of the observed light-induced
collective Mn-spin relaxation and precession.
|
cond-mat.mtrl-sci
|
we use femtosecond optical pulses to induce control and monitor magnetization precession in ferromagnetic ga0965mn0035as at temperatures below 40 k we observe coherent oscillations of the local mn spins triggered by an ultrafast photoinduced reorientation of the inplane easy axis the amplitude saturation of the oscillations above a certain pump intensity indicates that the easy axis remains unchanged above tc2 we find that the observed magnetization precession damping gilbert damping is strongly dependent on pump laser intensity but largely independent on ambient temperature we provide a physical interpretation of the observed lightinduced collective mnspin relaxation and precession
|
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|
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|
706.4271
|
Characteristic Time and Maximum Mixedness: Single Mode Gaussian States
in Dissipative Channels
|
We derive an upper limit for the mixedness of single bosonic mode gaussian
states propagating in dissipative channels. It is a function of the initial
squeezing and temperature of the channel only. Moreover the time at which von
Neumann's entropy reaches its maximum value coincides with that of complete
loss of coherence, thus defining a quantum-classical transition.
|
quant-ph
|
we derive an upper limit for the mixedness of single bosonic mode gaussian states propagating in dissipative channels it is a function of the initial squeezing and temperature of the channel only moreover the time at which von neumanns entropy reaches its maximum value coincides with that of complete loss of coherence thus defining a quantumclassical transition
|
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|
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|
706.4272
|
On the principle of relativity and electrostatics in a flat spacetime
with a compact spatial dimension
|
We study a flat spacetime with a compact spatial dimension and dispute the
claim of Bansal, Laing, and Sriharan that a local experiment can determine
whether or not an inertial observer is "privileged" in this spacetime.
|
gr-qc
|
we study a flat spacetime with a compact spatial dimension and dispute the claim of bansal laing and sriharan that a local experiment can determine whether or not an inertial observer is privileged in this spacetime
|
[['we', 'study', 'a', 'flat', 'spacetime', 'with', 'a', 'compact', 'spatial', 'dimension', 'and', 'dispute', 'the', 'claim', 'of', 'bansal', 'laing', 'and', 'sriharan', 'that', 'a', 'local', 'experiment', 'can', 'determine', 'whether', 'or', 'not', 'an', 'inertial', 'observer', 'is', 'privileged', 'in', 'this', 'spacetime']]
|
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|
706.4273
|
Drift and Diffusion of Spins Generated by the Spin Hall Effect
|
Electrically generated spin accumulation due to the spin Hall effect is
imaged in n-GaAs channels using Kerr rotation microscopy, focusing on its
spatial distribution and time-averaged behavior in a magnetic field.
Spatially-resolved imaging reveals that spin accumulation observed in
transverse arms develops due to longitudinal drift of spin polarization
produced at the sample boundaries. One- and two-dimensional drift-diffusion
modeling is used to explain these features, providing a more complete
understanding of observations of spin accumulation and the spin Hall effect.
|
cond-mat.mes-hall cond-mat.mtrl-sci
|
electrically generated spin accumulation due to the spin hall effect is imaged in ngaas channels using kerr rotation microscopy focusing on its spatial distribution and timeaveraged behavior in a magnetic field spatiallyresolved imaging reveals that spin accumulation observed in transverse arms develops due to longitudinal drift of spin polarization produced at the sample boundaries one and twodimensional driftdiffusion modeling is used to explain these features providing a more complete understanding of observations of spin accumulation and the spin hall effect
|
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|
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|
706.4274
|
Mixing-induced global modes in open active flow
|
We describe how a convectively unstable active field in an open flow
configuration becomes absolutely unstable due to local mixing. A representation
of the mixing region as those with locally enhanced effective diffusion allows
us to find the linear transition point to unstable global mode analytically. We
derive the critical exponent characterizing weakly nonlinear regimes beyond
instability and compare it with numerical simulations of a full two-dimensional
flow problem.
|
nlin.PS
|
we describe how a convectively unstable active field in an open flow configuration becomes absolutely unstable due to local mixing a representation of the mixing region as those with locally enhanced effective diffusion allows us to find the linear transition point to unstable global mode analytically we derive the critical exponent characterizing weakly nonlinear regimes beyond instability and compare it with numerical simulations of a full twodimensional flow problem
|
[['we', 'describe', 'how', 'a', 'convectively', 'unstable', 'active', 'field', 'in', 'an', 'open', 'flow', 'configuration', 'becomes', 'absolutely', 'unstable', 'due', 'to', 'local', 'mixing', 'a', 'representation', 'of', 'the', 'mixing', 'region', 'as', 'those', 'with', 'locally', 'enhanced', 'effective', 'diffusion', 'allows', 'us', 'to', 'find', 'the', 'linear', 'transition', 'point', 'to', 'unstable', 'global', 'mode', 'analytically', 'we', 'derive', 'the', 'critical', 'exponent', 'characterizing', 'weakly', 'nonlinear', 'regimes', 'beyond', 'instability', 'and', 'compare', 'it', 'with', 'numerical', 'simulations', 'of', 'a', 'full', 'twodimensional', 'flow', 'problem']]
|
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|
706.4275
|
Boltzmann equation for dissipative gases in homogeneous states with
nonlinear friction
|
Combining analytical and numerical methods, we study within the framework of
the homogeneous non-linear Boltzmann equation, a broad class of models relevant
for the dynamics of dissipative fluids, including granular gases. We use the
new method presented in a previous paper [J. Stat. Phys. 124, 549 (2006)] and
extend our results to a different heating mechanism, namely a deterministic
non-linear friction force. We derive analytically the high energy tail of the
velocity distribution and compare the theoretical predictions with high
precision numerical simulations. Stretched exponential forms are obtained when
the non-equilibrium steady state is stable. We derive sub-leading corrections
and emphasize their relevance. In marginal stability cases, power-law behaviors
arise, with exponents obtained as the roots of transcendental equations. We
also consider some simple BGK (Bhatnagar, Gross, Krook) models, driven by
similar heating devices, to test the robustness of our predictions.
|
cond-mat.stat-mech
|
combining analytical and numerical methods we study within the framework of the homogeneous nonlinear boltzmann equation a broad class of models relevant for the dynamics of dissipative fluids including granular gases we use the new method presented in a previous paper j stat phys 124 549 2006 and extend our results to a different heating mechanism namely a deterministic nonlinear friction force we derive analytically the high energy tail of the velocity distribution and compare the theoretical predictions with high precision numerical simulations stretched exponential forms are obtained when the nonequilibrium steady state is stable we derive subleading corrections and emphasize their relevance in marginal stability cases powerlaw behaviors arise with exponents obtained as the roots of transcendental equations we also consider some simple bgk bhatnagar gross krook models driven by similar heating devices to test the robustness of our predictions
|
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|
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|
706.4276
|
Fermi pockets and correlation effects in underdoped YBa2Cu3O6.5
|
The detection of quantum oscillations in the electrical resistivity of
YBa2Cu3O6.5 provides direct evidence for the existence of Fermi surface pockets
in an underdoped cuprate. We present a theoretical study of the electronic
structure of YBa2Cu3O7-d (YBCO) aiming at establishing the nature of these
Fermi pockets, i.e. CuO2 plane versus CuO chain or BaO. We argue that electron
correlation effects, such as orbital-dependent band distortions and highly
anisotropic self-energy corrections, must be taken into account in order to
properly interpret the quantum oscillation experiments.
|
cond-mat.str-el
|
the detection of quantum oscillations in the electrical resistivity of yba2cu3o65 provides direct evidence for the existence of fermi surface pockets in an underdoped cuprate we present a theoretical study of the electronic structure of yba2cu3o7d ybco aiming at establishing the nature of these fermi pockets ie cuo2 plane versus cuo chain or bao we argue that electron correlation effects such as orbitaldependent band distortions and highly anisotropic selfenergy corrections must be taken into account in order to properly interpret the quantum oscillation experiments
|
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|
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|
706.4277
|
On the Wilsonian renormalization group equation for nuclear current
operators
|
We present the solution to the recently derived Wilsonian renormalization
group (RG) equation for nuclear current operators. In order to eliminate the
present ambiguity in the RG equation itself, we introduce a new condition
specifying the cutoff independence of the five point Green function
corresponding to the two-body propagator with current operator insertion. The
resulting effective current operator is then shown to obey a modified
Ward-Takahashi identity which differs from the usual one, but that nevertheless
leads to current conservation.
|
nucl-th
|
we present the solution to the recently derived wilsonian renormalization group rg equation for nuclear current operators in order to eliminate the present ambiguity in the rg equation itself we introduce a new condition specifying the cutoff independence of the five point green function corresponding to the twobody propagator with current operator insertion the resulting effective current operator is then shown to obey a modified wardtakahashi identity which differs from the usual one but that nevertheless leads to current conservation
|
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|
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|
706.4278
|
The minimal principals of Hermitian matrices and the negativity of
bipartite of qubit states
|
Quantum entanglement is an enigmatic and powerful property that has attracted
much attention due to its usefulness in new ways of communications, like
quantum teleportation and quantum key distribution. Much effort has been done
to quantify entanglement. Indeed, there exist some well-established
separability criterion and analytical formulas for the entanglement of
bipartite systems. In some of these, the crucial elements are the eigenvalues
of the partial transpose of the density matrix. In this paper, we show that one
can also have information about the entanglement of bipartite state, in C2xC2,
looking at the minimal principals of the partial transpose.
|
quant-ph
|
quantum entanglement is an enigmatic and powerful property that has attracted much attention due to its usefulness in new ways of communications like quantum teleportation and quantum key distribution much effort has been done to quantify entanglement indeed there exist some wellestablished separability criterion and analytical formulas for the entanglement of bipartite systems in some of these the crucial elements are the eigenvalues of the partial transpose of the density matrix in this paper we show that one can also have information about the entanglement of bipartite state in c2xc2 looking at the minimal principals of the partial transpose
|
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|
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|
706.4279
|
Diagonal fibrations are pointwise fibrations
|
On the category of bisimplicial sets there are different Quillen closed model
structures associated to various definitions of fibrations. In one of them,
which is due to Bousfield and Kan and that consists of seeing a bisimplicial
set as a simplicial object in the category of simplicial sets, fibrations are
those bisimplicial set maps such that each of the induced simplicial set maps
is a Kan fibration, that is, the pointwise fibrations. In another of them,
introduced by Moerdijk, a bisimplicial map is a fibration if it induces a Kan
fibration of associated diagonal simplicial sets, that is, the diagonal
fibrations. In this note, we prove that every diagonal fibration is a pointwise
fibration.
|
math.AT
|
on the category of bisimplicial sets there are different quillen closed model structures associated to various definitions of fibrations in one of them which is due to bousfield and kan and that consists of seeing a bisimplicial set as a simplicial object in the category of simplicial sets fibrations are those bisimplicial set maps such that each of the induced simplicial set maps is a kan fibration that is the pointwise fibrations in another of them introduced by moerdijk a bisimplicial map is a fibration if it induces a kan fibration of associated diagonal simplicial sets that is the diagonal fibrations in this note we prove that every diagonal fibration is a pointwise fibration
|
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|
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|
706.428
|
Symmetry breaking by the sea of Dirac-Landau levels in graphene
|
The quantum Hall states of graphene have a filled Dirac sea of Landau levels.
The short ranged SU(4) symmetry breaking interactions can induce a staggered
polarization of the sea of Dirac-Landau levels. We study this effect in the
extended Hubbard model on a honeycomb lattice using mean field variational
wavefunctions. We find a valley symmetry broken, anti-ferromagnetic spin
ordered phase at $\nu=\pm 1$ when the on-site interaction is dominant. Our mean
field solution is consistent with the recently reported experimental results of
Z. Jiang et. al.\cite{jiang}
|
cond-mat.mes-hall
|
the quantum hall states of graphene have a filled dirac sea of landau levels the short ranged su4 symmetry breaking interactions can induce a staggered polarization of the sea of diraclandau levels we study this effect in the extended hubbard model on a honeycomb lattice using mean field variational wavefunctions we find a valley symmetry broken antiferromagnetic spin ordered phase at nupm 1 when the onsite interaction is dominant our mean field solution is consistent with the recently reported experimental results of z jiang et alcitejiang
|
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|
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|
706.4281
|
Riesz integral representation theory
|
We present a Riesz integral representation theory in which functions,
operators and measures take values in uniform commutative monoids (a
commutative monoid with a uniformity making the binary operation of the monoid
uniformly continuous). It describes the operators to which the theory can be
applied and the finitely-additive measures they generate. Operators satisfying
the conditions will be called ``Riesz integrals''. Given an underlying ``Riesz
system'', it is shown that every Riesz integral generates a certain kind of
finitely additive measure called here a ``Riesz measure''. The correspondence
between Riesz integrals and Riesz measures is a bijection.
A straightforward calculation shows that if an operator has such a
representation, then it must have the Hammerstein property. For topological
vector spaces, the theory yields necessary and sufficient conditions for
operators with the Hammerstein property to be Riesz integrals. We note that
uniform commutative monoids arise naturally when considering set-valued
functions, and that the axioms of a Riesz system rule out certain spaces of
infinitely differentiable functions.
|
math.RT
|
we present a riesz integral representation theory in which functions operators and measures take values in uniform commutative monoids a commutative monoid with a uniformity making the binary operation of the monoid uniformly continuous it describes the operators to which the theory can be applied and the finitelyadditive measures they generate operators satisfying the conditions will be called riesz integrals given an underlying riesz system it is shown that every riesz integral generates a certain kind of finitely additive measure called here a riesz measure the correspondence between riesz integrals and riesz measures is a bijection a straightforward calculation shows that if an operator has such a representation then it must have the hammerstein property for topological vector spaces the theory yields necessary and sufficient conditions for operators with the hammerstein property to be riesz integrals we note that uniform commutative monoids arise naturally when considering setvalued functions and that the axioms of a riesz system rule out certain spaces of infinitely differentiable functions
|
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|
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|
706.4282
|
Two Gaps Make a High Temperature Superconductor?
|
One of the keys to the high-temperature superconductivity puzzle is the
identification of the energy scales associated with the emergence of a coherent
condensate of superconducting electron pairs. These might provide a measure of
the pairing strength and of the coherence of the superfluid, and ultimately
reveal the nature of the elusive pairing mechanism in the superconducting
cuprates. To this end, a great deal of effort has been devoted to investigating
the connection between the superconducting transition temperature Tc and the
normal-state pseudogap crossover temperature T*. Here we present a review of a
large body of experimental data that suggests a coexisting two-gap scenario,
i.e. superconducting gap and pseudogap, over the whole superconducting dome.
|
cond-mat.supr-con cond-mat.str-el
|
one of the keys to the hightemperature superconductivity puzzle is the identification of the energy scales associated with the emergence of a coherent condensate of superconducting electron pairs these might provide a measure of the pairing strength and of the coherence of the superfluid and ultimately reveal the nature of the elusive pairing mechanism in the superconducting cuprates to this end a great deal of effort has been devoted to investigating the connection between the superconducting transition temperature tc and the normalstate pseudogap crossover temperature t here we present a review of a large body of experimental data that suggests a coexisting twogap scenario ie superconducting gap and pseudogap over the whole superconducting dome
|
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|
[-0.23377061033572413, 0.20334075180008976, -0.0941753898330621, 0.05784176915818662, -0.0673603427906831, -0.13419247765769046, 0.13823802527979734, 0.30670658807809414, -0.2383035870040195, -0.26593723381346646, -0.01389060285260999, -0.3202036520989056, -0.06864799151866975, 0.14468337807869702, 0.03374369272639517, 0.03253513108121983, -0.06886157074947269, 0.01311340243907915, -0.14867913185234852, -0.2191260523754943, 0.38905706969008114, 0.03445406863465905, 0.3507987051066665, 0.1348867551607423, 0.04395730074254077, -0.08031753486782116, 0.07933762668746344, -0.01065960516662974, -0.1570835491143123, 0.07307450828681651, 0.31845970018848513, -0.01230905915757543, 0.24718599225672191, -0.40988254061851065, -0.2508103923643367, 0.07644255423975553, 0.1430413762402104, 0.119328967426299, -0.04751269042230489, -0.27354127343482615, 0.031126171856987895, -0.1732238933215277, -0.13580366623130413, -0.06956765173705654, -0.0032272282089188436, -0.036381908559665214, -0.1906882454436926, 0.08769734014283147, 0.07062101110472883, 0.07697432300304635, -0.0704597722322337, -0.07056898237696212, 0.01017894560732601, 0.04979270128860024, 0.06938149968852501, 0.08420390043236119, 0.0797257643446261, -0.14376239222678633, -0.07926962593684725, 0.3064397914833471, 0.008172744623663132, 0.013913545059040189, 0.16980646050682194, -0.18545142920655117, -0.0541800302535034, 0.15781496021602498, 0.09369671551343217, 0.014237858324409708, -0.13332437300899377, 0.04951251759561465, -0.05569512550637387, 0.19887075054800352, -0.0038855623764296374, 0.135170078664822, 0.28589699465552704, 0.3001569317604758, 0.029907508655206153, 0.14070882481571875, -0.1245002913561429, -0.06630920549331788, -0.28034106512317075, -0.19920840238837786, -0.2217112868664819, 0.02384815149605601, -0.01966425602011824, -0.2020968416615863, 0.4388331261447124, 0.1919474987141592, 0.24988734533830562, -0.08019288090106688, 0.22631867266292766, 0.05537967921822871, 0.08598749626431973, 0.03257007738003474, 0.23806170575686306, 0.18084516549450264, 0.14880323393593067, -0.35788726790710107, 0.08897197282088823, -0.00856455087890489]
|
706.4283
|
Heisenberg-limited eavesdropping on the continuous-variable quantum
cryptographic protocol with no basis switching is impossible
|
The Gaussian quantum key distribution protocol based on coherent states and
heterodyne detection [Phys. Rev. Lett. 93, 170504 (2004)] has the advantage
that no active random basis switching is needed on the receiver's side. Its
security is, however, not very satisfyingly understood today because the bounds
on the secret key rate that have been derived from Heisenberg relations are not
attained by any known scheme. Here, we address the problem of the optimal
Gaussian individual attack against this protocol, and derive tight upper bounds
on the information accessible to an eavesdropper. The optical scheme achieving
this bound is also exhibited, which concludes the security analysis of this
protocol.
|
quant-ph
|
the gaussian quantum key distribution protocol based on coherent states and heterodyne detection phys rev lett 93 170504 2004 has the advantage that no active random basis switching is needed on the receivers side its security is however not very satisfyingly understood today because the bounds on the secret key rate that have been derived from heisenberg relations are not attained by any known scheme here we address the problem of the optimal gaussian individual attack against this protocol and derive tight upper bounds on the information accessible to an eavesdropper the optical scheme achieving this bound is also exhibited which concludes the security analysis of this protocol
|
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|
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|
706.4284
|
Geodetic precession and frame dragging observed far from massive objects
and close to a gyroscope
|
Total precession (geodetic precession and frame dragging) depends on the
velocity of each source of gravitation, which means that it depends on the
choice of the coordinate system. We consider the latter as an anomaly
specifically in the Gravity Probe B experiment, we investigated it and solved
this anomaly. Thus, we proved that if our present expression for the geodetic
precession is correct, then the frame dragging should be 25% less than its
predicted value.
|
gr-qc
|
total precession geodetic precession and frame dragging depends on the velocity of each source of gravitation which means that it depends on the choice of the coordinate system we consider the latter as an anomaly specifically in the gravity probe b experiment we investigated it and solved this anomaly thus we proved that if our present expression for the geodetic precession is correct then the frame dragging should be 25 less than its predicted value
|
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|
[-0.1743765567386678, 0.09879319902063192, -0.07755100388390322, 0.058409451382855575, -0.11995710796366135, -0.1370125686066846, 0.015986110645656783, 0.32443523238102595, -0.2412329149742921, -0.30848702459285654, 0.09600944295991212, -0.2281507181376219, -0.11989273267487685, 0.2207140865921974, -0.06785090198119481, -0.026293436941535523, 0.05180790359775225, 0.12832032361067833, -0.06752607774610321, -0.2185882354931285, 0.2800662095596393, 0.12730411618947982, 0.2336769207722197, 0.03337525219966968, 0.14260822042201957, 0.05318694938284656, -0.02750551749020815, 0.07859362307935953, -0.12504722389179126, 0.04137073223479092, 0.14739881377667188, 0.1333179428273191, 0.19226236134767533, -0.3734244854127367, -0.18358704364548126, 0.055469285709162555, 0.10882632040729125, 0.1526902759121731, -0.027216260094816487, -0.2774852459132671, 0.0358855510968715, -0.1784208591406544, -0.11391659807413816, -0.036793590243905785, 0.11972012766326467, -0.05357014438137412, -0.22962978303432466, 0.06729133075103164, 0.05861004346360763, 0.045257159993052486, -0.12126811634438733, -0.05884503017334888, 0.007903347266837954, 0.0929490780737251, 0.12914863582855712, 0.10792509185150266, 0.17081350674231846, -0.04796765863584975, -0.05868927989310275, 0.4698373185594877, -0.11120242164256827, -0.25962384648621084, 0.11076131395374735, -0.2090698477998376, -0.09394719117631514, 0.05722064362217982, 0.13673618022352457, 0.17209826598564784, -0.14177917292962472, 0.03075772853412976, -0.05657741157881295, 0.16791044253855944, 0.136716358376046, 0.0020899515102307, 0.2571964195556939, 0.11150357760488987, 0.07685774054378271, 0.07468922633522501, -0.14853614563743273, -0.052386050388837854, -0.33672253595665097, -0.1495216263954838, -0.19400285421560207, 0.04370310562973221, -0.07623454384311723, -0.08748314248397947, 0.366991652349631, 0.17586034065733352, 0.15368344868222872, 0.031167818942728142, 0.31090504716460904, 0.1500333992826442, 0.07297984157145644, 0.12182850044841567, 0.34534118639926115, 0.09194858545127015, 0.07561595027334989, -0.31589958261698486, 0.07445608010515571, 0.06182785483077168]
|
706.4285
|
Decoupling of Heavy Kaluza-Klein Modes In Models With Five-Dimensional
Scalar Fields
|
We investigate the decoupling of heavy Kaluza-Klein modes in $\phi^{4}$
theory and scalar QED with space-time topology $\mathbb{R}^{3,1} \times S^{1}$.
We calculate the effective action due to integrating out heavy KK modes. We
construct generalized RGE's for the couplings with respect to the
compactification scale $M$. With the solutions to the RGE's we find the
$M$-scale dependence of the effective theory due to higher dimensional quantum
effects. We find that the heavy modes decouple in $\phi^{4}$ theory, but do not
decouple in scalar QED. This is due to the zero mode of the 5-th component
$A_{5}$ of the 5-d gauge field. Because $A_{5}$ is a scalar under 4-d Lorentz
transformations, there is no gauge symmetry protecting it from getting mass and
$A_{5}^{4}$ interaction terms after loop corrections. In light of these
unpleasant features, we explore $S^{1}/\mathbb{Z}_{2}$ compactifications, which
eliminate $A_{5}$, allowing for the heavy modes to decouple at low energies. We
also explore the possibility of decoupling by including higher dimensional
operators. It is found that this is possible, but a high degree of fine tuning
is required.
|
hep-th
|
we investigate the decoupling of heavy kaluzaklein modes in phi4 theory and scalar qed with spacetime topology mathbbr31 times s1 we calculate the effective action due to integrating out heavy kk modes we construct generalized rges for the couplings with respect to the compactification scale m with the solutions to the rges we find the mscale dependence of the effective theory due to higher dimensional quantum effects we find that the heavy modes decouple in phi4 theory but do not decouple in scalar qed this is due to the zero mode of the 5th component a_5 of the 5d gauge field because a_5 is a scalar under 4d lorentz transformations there is no gauge symmetry protecting it from getting mass and a_54 interaction terms after loop corrections in light of these unpleasant features we explore s1mathbbz_2 compactifications which eliminate a_5 allowing for the heavy modes to decouple at low energies we also explore the possibility of decoupling by including higher dimensional operators it is found that this is possible but a high degree of fine tuning is required
|
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|
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|
706.4286
|
Measuring eccentricity in binary black-hole initial data
|
Initial data for evolving black-hole binaries can be constructed via many
techniques, and can represent a wide range of physical scenarios. However,
because of the way that different schemes parameterize the physical aspects of
a configuration, it is not alway clear what a given set of initial data
actually represents. This is especially important for quasiequilibrium data
constructed using the conformal thin-sandwich approach. Most initial-data
studies have focused on identifying data sets that represent binaries in
quasi-circular orbits. In this paper, we consider initial-data sets
representing equal-mass black holes binaries in eccentric orbits. We will show
that effective-potential techniques can be used to calibrate initial data for
black-hole binaries in eccentric orbits. We will also examine several different
approaches, including post-Newtonian diagnostics, for measuring the
eccentricity of an orbit. Finally, we propose the use of the ``Komar-mass
difference'' as a useful, invariant means of parameterizing the eccentricity of
relativistic orbits.
|
gr-qc
|
initial data for evolving blackhole binaries can be constructed via many techniques and can represent a wide range of physical scenarios however because of the way that different schemes parameterize the physical aspects of a configuration it is not alway clear what a given set of initial data actually represents this is especially important for quasiequilibrium data constructed using the conformal thinsandwich approach most initialdata studies have focused on identifying data sets that represent binaries in quasicircular orbits in this paper we consider initialdata sets representing equalmass black holes binaries in eccentric orbits we will show that effectivepotential techniques can be used to calibrate initial data for blackhole binaries in eccentric orbits we will also examine several different approaches including postnewtonian diagnostics for measuring the eccentricity of an orbit finally we propose the use of the komarmass difference as a useful invariant means of parameterizing the eccentricity of relativistic orbits
|
[['initial', 'data', 'for', 'evolving', 'blackhole', 'binaries', 'can', 'be', 'constructed', 'via', 'many', 'techniques', 'and', 'can', 'represent', 'a', 'wide', 'range', 'of', 'physical', 'scenarios', 'however', 'because', 'of', 'the', 'way', 'that', 'different', 'schemes', 'parameterize', 'the', 'physical', 'aspects', 'of', 'a', 'configuration', 'it', 'is', 'not', 'alway', 'clear', 'what', 'a', 'given', 'set', 'of', 'initial', 'data', 'actually', 'represents', 'this', 'is', 'especially', 'important', 'for', 'quasiequilibrium', 'data', 'constructed', 'using', 'the', 'conformal', 'thinsandwich', 'approach', 'most', 'initialdata', 'studies', 'have', 'focused', 'on', 'identifying', 'data', 'sets', 'that', 'represent', 'binaries', 'in', 'quasicircular', 'orbits', 'in', 'this', 'paper', 'we', 'consider', 'initialdata', 'sets', 'representing', 'equalmass', 'black', 'holes', 'binaries', 'in', 'eccentric', 'orbits', 'we', 'will', 'show', 'that', 'effectivepotential', 'techniques', 'can', 'be', 'used', 'to', 'calibrate', 'initial', 'data', 'for', 'blackhole', 'binaries', 'in', 'eccentric', 'orbits', 'we', 'will', 'also', 'examine', 'several', 'different', 'approaches', 'including', 'postnewtonian', 'diagnostics', 'for', 'measuring', 'the', 'eccentricity', 'of', 'an', 'orbit', 'finally', 'we', 'propose', 'the', 'use', 'of', 'the', 'komarmass', 'difference', 'as', 'a', 'useful', 'invariant', 'means', 'of', 'parameterizing', 'the', 'eccentricity', 'of', 'relativistic', 'orbits']]
|
[-0.1656062769066408, 0.08836649885589035, -0.12423624844609091, 0.134048910061485, -0.08180908776425926, -0.09232361806594086, -0.001280027985472807, 0.3613830477424316, -0.18164601739735856, -0.30293379517134605, 0.08437332039036406, -0.23977507825240793, -0.10543056359302078, 0.30455846375091966, -0.08827817921789251, 0.08425018456123844, 0.16197269255820437, -0.014090954254212595, -0.10424850740698136, -0.23812032948191833, 0.3968866756185889, 0.024791252143031, 0.12905585822483662, -0.0547713400927316, 0.08357748095236793, 0.01737521983833121, -0.018110100545564153, 0.021079532755226296, -0.17456347784319473, 0.09391581399003732, 0.29970370055701356, 0.19205966255246293, 0.22365879598778796, -0.37106907635852193, -0.21257077022486884, 0.09703796499271271, 0.18813388075229506, 0.16183136012592672, -0.05236991798277044, -0.23157343382778384, 0.09792919745965667, -0.24352814889694221, -0.16051692554696725, -0.10077957633332718, 0.08780306327975536, 0.03460164294631264, -0.24972070149464795, 0.0427069534536298, 0.06319973467741374, 0.014286823848874978, -0.0920179043724608, -0.08062406070686677, -0.029059919964634633, 0.12572124038491672, 0.061270004906379086, 0.022587617442805644, 0.13879961741388144, -0.04597794147827131, -0.12016477148929898, 0.4100111374669027, -0.021911813835722813, -0.20007497165352106, 0.2201837328131367, -0.1673637200115661, -0.17363326194002324, 0.06092035146617649, 0.22773345885251417, 0.16437964421078163, -0.18871202520588992, 0.06526867143970745, -0.0004446998976121013, 0.1698151241531658, 0.10311504204026205, 0.022050920376966664, 0.33584086498208093, 0.14734892185852433, 0.016154012140808565, 0.10381790058962351, -0.12350428079554948, -0.060065005158993025, -0.22534887587664112, -0.07842689630069188, -0.1544586459171627, 0.053383963279548766, -0.10863093817956206, -0.17110085824892024, 0.3510012408130921, 0.17847766821464484, 0.21296482345701864, -0.013094422866859093, 0.28350086073870573, 0.07947866010783168, 0.02703193100106796, 0.10044675581032197, 0.28271990493033705, 0.07976340485624218, 0.049618174941529015, -0.17101515270378942, 0.04183694748864228, 0.024728659202888508]
|
706.4287
|
Dyakonov-Tamm wave at the planar interface of a chiral sculptured thin
film and an isotropic dielectric material
|
Surface waves, named here as Dyakonov-Tamm waves, can exist at the planar
interface of an isotropic dielectric material and a chiral sculptured thin film
(STF). Due to the periodic nonhomogeneity of a chiral STF, the range of the
refractive index of the isotropic material is smaller but the range of the
propagation direction in the interface plane is much larger, in comparison to
those for the existence of Dyakonov waves at the planar interface of an
isotropic dielectric material and a columnar thin film.
|
physics.optics physics.class-ph
|
surface waves named here as dyakonovtamm waves can exist at the planar interface of an isotropic dielectric material and a chiral sculptured thin film stf due to the periodic nonhomogeneity of a chiral stf the range of the refractive index of the isotropic material is smaller but the range of the propagation direction in the interface plane is much larger in comparison to those for the existence of dyakonov waves at the planar interface of an isotropic dielectric material and a columnar thin film
|
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|
[-0.18475043788895987, 0.21357322593775324, -0.02500964263786695, -0.05522481925020527, -0.10491992083067696, -0.06290786263776854, -0.06411677998992327, 0.4263682739055228, -0.2636841927832436, -0.2792977710875372, 0.08274710660390112, -0.28609016903543044, -0.11240190414745095, 0.18793562890606977, 0.05819956434147787, 0.05394893756047601, -0.08992032631344739, -0.06834500052389644, -0.05053013417359796, -0.07454248807681281, 0.2842304958169171, 0.042556283552022206, 0.327090433039259, 0.08434841228535377, 0.04190531856563341, 0.008976846160727464, 0.0946734471557041, 0.04663099520396264, -0.15650951233969645, 0.07029458995731104, 0.22590014271138767, -0.1265581020741679, 0.16658775724049302, -0.48551258879403275, -0.26561621524299317, -0.0205829934039641, 0.11819742573425174, 0.15313765969836995, -0.08765936220463898, -0.24600134517199226, 0.07223764266070377, -0.10676637613159116, -0.2087213789512004, 0.06898790096775406, 0.03859655608123701, -0.014882616338408775, -0.20870647240856974, 0.06610025786808581, 0.11327236051493812, 0.05679908469513369, -0.08154496310245511, -0.07948172229918696, -0.10619427406761263, 0.03905892782356767, 0.06265060672913456, 0.07447769101487384, 0.14025593277515977, -0.14849454772082113, -0.020924660088937907, 0.41237668555584694, -0.06334490812640156, -0.16622984037911964, 0.19356072900838972, -0.1540760195830011, 0.04947318610668715, 0.2314189666926506, 0.21813433191605977, 0.11952301424684092, -0.09133009736736615, 0.06661545697993244, -0.06346163610439925, 0.21754083538239466, 0.16434573371606392, -0.03139591564623905, 0.25754174108927447, 0.18883233369394606, 0.03748813279837902, 0.1686049603990146, -0.10600806386875254, 0.02185758790888247, -0.25603340113940204, -0.20743627159944958, -0.20795980196860564, -0.015388466561922715, -0.15821295889569834, -0.3036539953623322, 0.4120697508277815, 0.07455592382410985, 0.10811203110608317, -0.02732720841387553, 0.24610959958573358, 0.06715859122258346, 0.044413629198624266, 0.03941125693797533, 0.34800289283295915, 0.18128932803769462, 0.13248040176230938, -0.16802019206460544, 0.07532214248619441, 0.012350465237562145]
|
706.4288
|
On the Ring of Integer-valued Quasi-polynomials
|
The paper studies some properties of the ring of integer-valued
quasi-polynomials. On this ring, theory of generalized Euclidean division and
generalized GCD are presented. Applications to finite simple continued fraction
expansion and Smith normal form of integral matrices with integer parameters
are also given.
|
math.NT math.RA
|
the paper studies some properties of the ring of integervalued quasipolynomials on this ring theory of generalized euclidean division and generalized gcd are presented applications to finite simple continued fraction expansion and smith normal form of integral matrices with integer parameters are also given
|
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|
[-0.2005294537362219, 0.09441555960273201, -0.07901257268068465, 0.024856603796996005, -0.13966598984023387, -0.10048300931653516, -0.013944752778942611, 0.32859531116925855, -0.33145744615996425, -0.15708461536136878, 0.1358593996529552, -0.23879453535615044, -0.22788486993786963, 0.19936432687311686, -0.056936696827919644, 0.03305904491042549, 0.015062990275592629, 0.04071695490909571, -0.12111096911724996, -0.35249107652767137, 0.31443369926207443, 0.02644953696290031, 0.18742767630398952, 0.010867987738244912, 0.07648855839347975, 0.019611612835433334, -0.08336772519925778, 0.029736979250711473, -0.19647428588095037, 0.14463194943329488, 0.25662082042121753, 0.12865803626746955, 0.1948574819729071, -0.4177795679054477, -0.14354041934182699, 0.17213116474026305, 0.14715351261706514, -0.03463973839428614, -0.04721081076158126, -0.16514895898713308, 0.12382492084394801, -0.22732003589838065, -0.2105457087640058, -0.06943759961392391, 0.10886659037152474, 0.1270321738821539, -0.2898047739978541, 0.0510225892959914, 0.0457726104227318, 0.10471529532647268, -0.020696413195268673, -0.19865230953490193, 0.08327995808477598, 0.03464381869840012, -0.0449266085528176, -0.041907224571332335, 0.08040791670778576, -0.05766265707577325, -0.10023566612719813, 0.3460710952640511, -0.035068777135827324, -0.23024846173145555, 0.13133506078950383, -0.20420100188560106, -0.1316828734495423, 0.11043532439295879, 0.13228218907236375, 0.13100316053764385, -0.10146960479588332, 0.14135664042921484, -0.14659853089092809, 0.04831854812800884, 0.12211163301782851, 0.04745884671468626, 0.16681045458906077, 0.019003530583259733, -0.029950766304285604, 0.14482545662957075, 0.03303337709406729, -0.14320506968281485, -0.33394226685843686, -0.17292446615597742, -0.2082878385712816, 0.07410302591002123, -0.1456454248711287, -0.2035835620587353, 0.3773002680126493, 0.03468472618525001, 0.17423349204049868, 0.08550683180378242, 0.2523143627807837, 0.15277405075506645, 0.03157897375058383, 0.03572555002756417, 0.08110611389764183, 0.23988632243973287, 0.009057678438363258, -0.18477997569028626, -0.0007358418608253652, 0.17452430716631087]
|
706.4289
|
A low CMB variance in the WMAP data
|
We have estimated the CMB variance from the three-year WMAP data, finding a
value which is significantly lower than the one expected from Gaussian
simulations using the WMAP best-fit cosmological model, at a significance level
of 98.7 per cent. This result is even more prominent if we consider only the
north ecliptic hemisphere (99.8 per cent). Different analyses have been
performed in order to identify a possible origin for this anomaly. In
particular we have studied the behaviour of single radiometers and single year
data as well as the effect of residual foregrounds and 1/f noise, finding that
none of these possibilities can explain the low value of the variance. We have
also tested the effect of varying the cosmological parameters, finding that the
estimated CMB variance tends to favour higher values of $n_s$ than the one of
the WMAP best-fit model. In addition, we have also tested the consistency
between the estimated CMB variance and the actual measured CMB power spectrum
of the WMAP data, finding a strong discrepancy. A possible interpretation of
this result could be a deviation from Gaussianity and/or isotropy of the CMB.
|
astro-ph
|
we have estimated the cmb variance from the threeyear wmap data finding a value which is significantly lower than the one expected from gaussian simulations using the wmap bestfit cosmological model at a significance level of 987 per cent this result is even more prominent if we consider only the north ecliptic hemisphere 998 per cent different analyses have been performed in order to identify a possible origin for this anomaly in particular we have studied the behaviour of single radiometers and single year data as well as the effect of residual foregrounds and 1f noise finding that none of these possibilities can explain the low value of the variance we have also tested the effect of varying the cosmological parameters finding that the estimated cmb variance tends to favour higher values of n_s than the one of the wmap bestfit model in addition we have also tested the consistency between the estimated cmb variance and the actual measured cmb power spectrum of the wmap data finding a strong discrepancy a possible interpretation of this result could be a deviation from gaussianity andor isotropy of the cmb
|
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|
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|
706.429
|
Heterotic Kahler/non-Kahler Transitions
|
We show how two topologically distinct spaces - the Kahler K3 x T^2 and the
non-Kahler T^2 bundle over K3 - can be smoothly connected in heterotic string
theory. The transition occurs when the base K3 is deformed to the T^4/Z_2
orbifold limit. The orbifold theory can be mapped via duality to M-theory on K3
x K3 where the transition corresponds to an exchange of the two K3's.
|
hep-th
|
we show how two topologically distinct spaces the kahler k3 x t2 and the nonkahler t2 bundle over k3 can be smoothly connected in heterotic string theory the transition occurs when the base k3 is deformed to the t4z_2 orbifold limit the orbifold theory can be mapped via duality to mtheory on k3 x k3 where the transition corresponds to an exchange of the two k3s
|
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|
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|
706.4291
|
Soft modes near the buckling transition of icosahedral shells
|
Icosahedral shells undergo a buckling transition as the ratio of Young's
modulus to bending stiffness increases. Strong bending stiffness favors smooth,
nearly spherical shapes, while weak bending stiffness leads to a sharply
faceted icosahedral shape. Based on the phonon spectrum of a simplified
mass-and-spring model of the shell, we interpret the transition from smooth to
faceted as a soft-mode transition. In contrast to the case of a disclinated
planar network where the transition is sharply defined, the mean curvature of
the sphere smooths the transitition. We define elastic susceptibilities as the
response to forces applied at vertices, edges and faces of an icosahedron. At
the soft-mode transition the vertex susceptibility is the largest, but as the
shell becomes more faceted the edge and face susceptibilities greatly exceed
the vertex susceptibility. Limiting behaviors of the susceptibilities are
analyzed and related to the ridge-scaling behavior of elastic sheets. Our
results apply to virus capsids, liposomes with crystalline order and other
shell-like structures with icosahedral symmetry.
|
physics.bio-ph
|
icosahedral shells undergo a buckling transition as the ratio of youngs modulus to bending stiffness increases strong bending stiffness favors smooth nearly spherical shapes while weak bending stiffness leads to a sharply faceted icosahedral shape based on the phonon spectrum of a simplified massandspring model of the shell we interpret the transition from smooth to faceted as a softmode transition in contrast to the case of a disclinated planar network where the transition is sharply defined the mean curvature of the sphere smooths the transitition we define elastic susceptibilities as the response to forces applied at vertices edges and faces of an icosahedron at the softmode transition the vertex susceptibility is the largest but as the shell becomes more faceted the edge and face susceptibilities greatly exceed the vertex susceptibility limiting behaviors of the susceptibilities are analyzed and related to the ridgescaling behavior of elastic sheets our results apply to virus capsids liposomes with crystalline order and other shelllike structures with icosahedral symmetry
|
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|
[-0.13116496435861155, 0.15751791535379575, -0.06050567777490429, -0.014758135498680684, -0.0949778704707343, -0.1201031217438325, 0.020442151991644678, 0.3929265450992801, -0.26794914831841216, -0.25341594365847686, 0.04365845359153236, -0.34501322312569765, -0.18385525663551058, 0.06710821304395101, 0.009371894124319765, 0.028811846904312724, -0.01736662540474895, 0.024816550820579996, -0.08191593214638115, -0.16082433003336422, 0.2854303491160112, 0.03743360796509461, 0.31482536615210915, 0.0890700853139058, 0.010911657959396331, 0.01879397043321999, 0.12207779557854863, 0.08431743303970404, -0.1976752697276125, 0.08386556049577476, 0.2051500937525799, -0.042829710802190606, 0.14419383453263074, -0.4369334160575863, -0.1900777107656728, 0.04927368814513226, 0.12808464099334912, 0.1196349883547504, 0.017088279296099556, -0.2362411320889195, 0.03983749045197916, -0.1274438398942259, -0.2015447274880102, -0.05346509254311923, 0.019065726857186983, 0.023028610289741815, -0.21929221540134144, 0.14324080995688943, 0.06901195800359945, 0.04480246774077138, -0.07853839012088473, -0.1241307134034332, -0.11902030456452543, 0.10567864842759156, 0.09189077968469109, 0.022591501861949515, 0.22084495369185872, -0.1499384871571215, -0.07009080656433929, 0.4543056219515408, -0.01397354131121975, -0.1212476773016872, 0.1654107821816058, -0.15665131979130253, -0.06401273758553391, 0.2280583235880603, 0.16725731164293642, 0.09473934816775022, -0.05521700507816598, 0.022611202351077928, 0.031624468639261605, 0.171641374654744, 0.11434407470608998, -0.0548134692828894, 0.20587139803430307, 0.19071710311232123, 0.06525795642732678, 0.21240473162818133, -0.09360685758003444, -0.06649411094855077, -0.26620977180605027, -0.12018962420222366, -0.19592723591030453, 0.004895078371169034, -0.1422627354210665, -0.2740169560987942, 0.3720461667619461, 0.027782494225394652, 0.2506279818979757, 0.07692609869684122, 0.22218498826078978, 0.03858088118151432, 0.124432103505925, 0.01753851523194809, 0.2628101434541276, 0.16917641138114173, 0.07905724601710204, -0.2562945458404604, 0.06914265431400088, 0.04799723626918489]
|
706.4292
|
Global perspectives on the energy landscapes of liquids, supercooled
liquids, and glassy systems: The potential energy landscape ensemble
|
In principle, all of the dynamical complexities of many-body systems are
encapsulated in the potential energy landscapes on which the atoms move - an
observation that suggests that the essentials of the dynamics ought to be
determined by the geometry of those landscapes. But what are the principal
geometric features that control the long-time dynamics? We suggest that the key
lies not in the local minima and saddles of the landscape, but in a more global
property of the surface: its accessible pathways. In order to make this notion
more precise we introduce two ideas: (1) a switch to a new ensemble that
removes the concept of potential barriers from the problem, and (2) a way of
finding optimum pathways within this new ensemble. The potential energy
landscape ensemble, which we describe in the current paper, regards the maximum
accessible potential energy, rather than the temperature, as a control
variable. We show here that while this approach is thermodynamically equivalent
to the canonical ensemble, it not only sidesteps the idea of barriers, it
allows us to be quantitative about the connectivity of a landscape. We
illustrate these ideas with calculations on a simple atomic liquid and on the
Kob-Andersen model of a glass-forming liquid, showing, in the process, that the
landscape of the Kob-Anderson model appears to have a connectivity transition
at the landscape energy associated with its mode-coupling transition. We turn
to the problem of finding the most efficient pathways through potential energy
landscapes in our companion paper.
|
cond-mat.soft cond-mat.stat-mech
|
in principle all of the dynamical complexities of manybody systems are encapsulated in the potential energy landscapes on which the atoms move an observation that suggests that the essentials of the dynamics ought to be determined by the geometry of those landscapes but what are the principal geometric features that control the longtime dynamics we suggest that the key lies not in the local minima and saddles of the landscape but in a more global property of the surface its accessible pathways in order to make this notion more precise we introduce two ideas 1 a switch to a new ensemble that removes the concept of potential barriers from the problem and 2 a way of finding optimum pathways within this new ensemble the potential energy landscape ensemble which we describe in the current paper regards the maximum accessible potential energy rather than the temperature as a control variable we show here that while this approach is thermodynamically equivalent to the canonical ensemble it not only sidesteps the idea of barriers it allows us to be quantitative about the connectivity of a landscape we illustrate these ideas with calculations on a simple atomic liquid and on the kobandersen model of a glassforming liquid showing in the process that the landscape of the kobanderson model appears to have a connectivity transition at the landscape energy associated with its modecoupling transition we turn to the problem of finding the most efficient pathways through potential energy landscapes in our companion paper
|
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|
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|
706.4293
|
Simple Picture for Neutrino Flavor Transformation in Supernovae
|
We can understand many recently-discovered features of flavor evolution in
dense, self-coupled supernova neutrino and antineutrino systems with a simple,
physical scheme consisting of two quasi-static solutions. One solution closely
resembles the conventional, adiabatic single neutrino
Mikheyev-Smirnov-Wolfenstein (MSW) mechanism, in that neutrinos and
antineutrinos remain in mass eigenstates as they evolve in flavor space. The
other solution is analogous to the regular precession of a gyroscopic pendulum
in flavor space, and has been discussed extensively in recent works. Results of
recent numerical studies are best explained with combinations of these
solutions in the following general scenario: (1) Near the neutrino sphere, the
MSW-like many-body solution obtains. (2) Depending on neutrino vacuum mixing
parameters, luminosities, energy spectra, and the matter density profile,
collective flavor transformation in the nutation mode develops and drives
neutrinos away from the MSW-like evolution and toward regular precession. (3)
Neutrino and antineutrino flavors roughly evolve according to the regular
precession solution until neutrino densities are low. In the late stage of the
precession solution, a stepwise swapping develops in the energy spectra of
$\nu_e$ and $\nu_\mu/\nu_\tau$. We also discuss some subtle points regards
adiabaticity in flavor transformation in dense neutrino systems.
|
astro-ph hep-ph
|
we can understand many recentlydiscovered features of flavor evolution in dense selfcoupled supernova neutrino and antineutrino systems with a simple physical scheme consisting of two quasistatic solutions one solution closely resembles the conventional adiabatic single neutrino mikheyevsmirnovwolfenstein msw mechanism in that neutrinos and antineutrinos remain in mass eigenstates as they evolve in flavor space the other solution is analogous to the regular precession of a gyroscopic pendulum in flavor space and has been discussed extensively in recent works results of recent numerical studies are best explained with combinations of these solutions in the following general scenario 1 near the neutrino sphere the mswlike manybody solution obtains 2 depending on neutrino vacuum mixing parameters luminosities energy spectra and the matter density profile collective flavor transformation in the nutation mode develops and drives neutrinos away from the mswlike evolution and toward regular precession 3 neutrino and antineutrino flavors roughly evolve according to the regular precession solution until neutrino densities are low in the late stage of the precession solution a stepwise swapping develops in the energy spectra of nu_e and nu_munu_tau we also discuss some subtle points regards adiabaticity in flavor transformation in dense neutrino systems
|
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|
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|
706.4294
|
Cosmic Rays and Global Warming
|
It has been claimed by others that observed temporal correlations of
terrestrial cloud cover with `the cosmic ray intensity' are causal. The
possibility arises, therefore, of a connection between cosmic rays and Global
Warming. If true, the implications would be very great. We have examined this
claim to look for evidence to corroborate it. So far we have not found any and
so our tentative conclusions are to doubt it. Such correlations as appear are
more likely to be due to the small variations in solar irradiance, which, of
course, correlate with cosmic rays. We estimate that less than 15% of the
11-year cycle warming variations are due to cosmic rays and less than 2% of the
warming over the last 35 years is due to this cause.
|
astro-ph physics.ao-ph physics.geo-ph physics.soc-ph
|
it has been claimed by others that observed temporal correlations of terrestrial cloud cover with the cosmic ray intensity are causal the possibility arises therefore of a connection between cosmic rays and global warming if true the implications would be very great we have examined this claim to look for evidence to corroborate it so far we have not found any and so our tentative conclusions are to doubt it such correlations as appear are more likely to be due to the small variations in solar irradiance which of course correlate with cosmic rays we estimate that less than 15 of the 11year cycle warming variations are due to cosmic rays and less than 2 of the warming over the last 35 years is due to this cause
|
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|
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|
706.4295
|
Global perspectives on the energy landscapes of liquids, supercooled
liquids, and glassy systems: Geodesic pathways through the potential energy
landscape
|
How useful it is to think about the potential energy landscape of a complex
many-body system depends in large measure on how direct the connection is to
the system's dynamics. In this paper we show that, within what we call the
potential energy landscape ensemble, it is possible to make direct connections
between the geometry of the landscape and the long-time dynamical behaviors of
systems such as supercooled liquids. We show, in particular, that the onset of
slow dynamics in such systems is governed directly by the lengths of their
geodesics - the shortest paths through their landscapes within the special
ensemble. The more convoluted and labyrinthine these geodesics are, the slower
that dynamics is. Geodesics in the landscape ensemble have sufficiently
well-defined characteristics that is straightforward to search for them
numerically, a point we illustrate by computing the geodesic lengths for an
ordinary atomic liquid and a binary glass-forming atomic mixture. We find that
the temperature dependence of the diffusion constants of these systems,
including the precipitous drop as the glass-forming system approaches its
mode-coupling transition, is predicted quantitatively by the growth of the
geodesic path lengths.
|
cond-mat.soft cond-mat.stat-mech
|
how useful it is to think about the potential energy landscape of a complex manybody system depends in large measure on how direct the connection is to the systems dynamics in this paper we show that within what we call the potential energy landscape ensemble it is possible to make direct connections between the geometry of the landscape and the longtime dynamical behaviors of systems such as supercooled liquids we show in particular that the onset of slow dynamics in such systems is governed directly by the lengths of their geodesics the shortest paths through their landscapes within the special ensemble the more convoluted and labyrinthine these geodesics are the slower that dynamics is geodesics in the landscape ensemble have sufficiently welldefined characteristics that is straightforward to search for them numerically a point we illustrate by computing the geodesic lengths for an ordinary atomic liquid and a binary glassforming atomic mixture we find that the temperature dependence of the diffusion constants of these systems including the precipitous drop as the glassforming system approaches its modecoupling transition is predicted quantitatively by the growth of the geodesic path lengths
|
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|
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|
706.4296
|
Schwarzian Derivatives and Uniform Local Univalence
|
Quantitative estimates are obtained for the (finite) valence of functions
analytic in the unit disk with Schwarzian derivative that is bounded or of slow
growth. A harmonic mapping is shown to be uniformly locally univalent with
respect to the hyperbolic metric if and only if it has finite Schwarzian norm,
thus generalizing a result of B. Schwarz for analytic functions. A numerical
bound is obtained for the Schwarzian norms of univalent harmonic mappings.
|
math.CV
|
quantitative estimates are obtained for the finite valence of functions analytic in the unit disk with schwarzian derivative that is bounded or of slow growth a harmonic mapping is shown to be uniformly locally univalent with respect to the hyperbolic metric if and only if it has finite schwarzian norm thus generalizing a result of b schwarz for analytic functions a numerical bound is obtained for the schwarzian norms of univalent harmonic mappings
|
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|
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|
706.4297
|
Accelerated Projected Gradient Method for Linear Inverse Problems with
Sparsity Constraints
|
Regularization of ill-posed linear inverse problems via $\ell_1$ penalization
has been proposed for cases where the solution is known to be (almost) sparse.
One way to obtain the minimizer of such an $\ell_1$ penalized functional is via
an iterative soft-thresholding algorithm. We propose an alternative
implementation to $\ell_1$-constraints, using a gradient method, with
projection on $\ell_1$-balls. The corresponding algorithm uses again iterative
soft-thresholding, now with a variable thresholding parameter. We also propose
accelerated versions of this iterative method, using ingredients of the
(linear) steepest descent method. We prove convergence in norm for one of these
projected gradient methods, without and with acceleration.
|
math.NA
|
regularization of illposed linear inverse problems via ell_1 penalization has been proposed for cases where the solution is known to be almost sparse one way to obtain the minimizer of such an ell_1 penalized functional is via an iterative softthresholding algorithm we propose an alternative implementation to ell_1constraints using a gradient method with projection on ell_1balls the corresponding algorithm uses again iterative softthresholding now with a variable thresholding parameter we also propose accelerated versions of this iterative method using ingredients of the linear steepest descent method we prove convergence in norm for one of these projected gradient methods without and with acceleration
|
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|
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|
706.4298
|
Unison as a Self-Stabilizing Wave Stream Algorithm in Asynchronous
Anonymous Networks
|
How to pass from local to global scales in anonymous networks? How to
organize a selfstabilizing propagation of information with feedback. From the
Angluin impossibility results, we cannot elect a leader in a general anonymous
network. Thus, it is impossible to build a rooted spanning tree. Many problems
can only be solved by probabilistic methods. In this paper we show how to use
Unison to design a self-stabilizing barrier synchronization in an anonymous
network. We show that the commuication structure of this barrier
synchronization designs a self-stabilizing wave-stream, or pipelining wave, in
anonymous networks. We introduce two variants of Wave: the strong waves and the
wavelets. A strong wave can be used to solve the idempotent r-operator
parametrized computation problem. A wavelet deals with k-distance computation.
We show how to use Unison to design a self-stabilizing wave stream, a
self-stabilizing strong wave stream and a self-stabilizing wavelet stream.
|
cs.DC
|
how to pass from local to global scales in anonymous networks how to organize a selfstabilizing propagation of information with feedback from the angluin impossibility results we cannot elect a leader in a general anonymous network thus it is impossible to build a rooted spanning tree many problems can only be solved by probabilistic methods in this paper we show how to use unison to design a selfstabilizing barrier synchronization in an anonymous network we show that the commuication structure of this barrier synchronization designs a selfstabilizing wavestream or pipelining wave in anonymous networks we introduce two variants of wave the strong waves and the wavelets a strong wave can be used to solve the idempotent roperator parametrized computation problem a wavelet deals with kdistance computation we show how to use unison to design a selfstabilizing wave stream a selfstabilizing strong wave stream and a selfstabilizing wavelet stream
|
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|
[-0.2114810809036907, 0.056057529800455086, -0.08596563607226221, 0.0923481763096615, -0.14160671593862123, -0.15261315849616008, 0.09509242589024788, 0.4219154288523457, -0.363482093856651, -0.25045554811882526, 0.09958947282585436, -0.20449924965699515, -0.22584281169467282, 0.1493798642321078, -0.0961754655043379, 0.07870692183219251, 0.08509717585176838, 0.023545055252620253, 0.013298273037447511, -0.23378122877804752, 0.26105195180620666, 0.04044665030653582, 0.2434843416027978, -0.00010950469291534553, 0.11117730648288517, -0.005138836205512488, 0.01193360026393618, 0.022371657033526927, -0.09689195905630928, 0.11220570637125421, 0.311271573922543, 0.1932128051384574, 0.32406475959934905, -0.47899121500957176, -0.1953387006572416, 0.13316626120422062, 0.17777083864828355, 0.19887124640145656, -0.044991982305663175, -0.2939457267104667, 0.11119420841640355, -0.19495139213209198, -0.08387775591029754, -0.06242866741733302, -0.013476998051058273, 0.05962926044966956, -0.28114903597422514, -0.007295061549057766, 0.06724625225907484, -0.04169685853531166, 0.00321988435303729, 0.010024320626422306, 0.024722267347736422, 0.10597174450419336, -0.039001601147877214, 0.04049431455882304, 0.09798850279561161, -0.08300779730819648, -0.22579729347964939, 0.3658839492063944, -0.053952903885926516, -0.22205154392012985, 0.172343226783231, -0.045188646577259045, -0.18001043520943852, 0.1021087423195036, 0.25066008989629496, 0.08798333100949218, -0.17881874822841984, 0.024985525338137585, -0.07954733252007004, 0.2159130003455342, 0.1230178565376115, -0.0017548683871591122, 0.14303302862142928, 0.15762334364485375, 0.1526247782020538, 0.15719667929192993, -0.02262087916158659, -0.09525168682195145, -0.23049246918308694, -0.11049388437120079, -0.17913311536797658, 0.022583211072068027, -0.05405418232988509, -0.19433073166656453, 0.4279622251237584, 0.2253839989433534, 0.1617376666015559, 0.1218190278420795, 0.32263126505576833, 0.05038911455824059, 0.06618920318524157, 0.17808588270769538, 0.19136545783879716, 0.10541976261630553, 0.1298105070228074, -0.14510219766945281, 0.07863133375970077, 0.06877178482736657]
|
706.4299
|
A Metric on Shape Space with Explicit Geodesics
|
This paper studies a specific metric on plane curves that has the property of
being isometric to classical manifold (sphere, complex projective, Stiefel,
Grassmann) modulo change of parametrization, each of these classical manifolds
being associated to specific qualifications of the space of curves
(closed-open, modulo rotation etc...) Using these isometries, we are able to
explicitely describe the geodesics, first in the parametric case, then by
modding out the paremetrization and considering horizontal vectors. We also
compute the sectional curvature for these spaces, and show, in particular, that
the space of closed curves modulo rotation and change of parameter has positive
curvature. Experimental results that explicitly compute minimizing geodesics
between two closed curves are finally provided
|
math.DG math.AP
|
this paper studies a specific metric on plane curves that has the property of being isometric to classical manifold sphere complex projective stiefel grassmann modulo change of parametrization each of these classical manifolds being associated to specific qualifications of the space of curves closedopen modulo rotation etc using these isometries we are able to explicitely describe the geodesics first in the parametric case then by modding out the paremetrization and considering horizontal vectors we also compute the sectional curvature for these spaces and show in particular that the space of closed curves modulo rotation and change of parameter has positive curvature experimental results that explicitly compute minimizing geodesics between two closed curves are finally provided
|
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|
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|
706.43
|
Morphological influence on surface--wave propagation at the planar
interface of a metal film and a columnar thin film
|
The selection of a higher vapor deposition angle when growing a columnar thin
film (CTF) leads to surface-wave propagation at a planar metal-CTF interface
with phase velocity of lower magnitude and shorter propagation range.
Acordingly, a higher angle of plane-wave incidence is required to excite that
surface wave in a modified Kretschmann configuration.
|
physics.optics physics.class-ph
|
the selection of a higher vapor deposition angle when growing a columnar thin film ctf leads to surfacewave propagation at a planar metalctf interface with phase velocity of lower magnitude and shorter propagation range acordingly a higher angle of planewave incidence is required to excite that surface wave in a modified kretschmann configuration
|
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|
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|
706.4301
|
Searching for Gravitational-Wave Bursts with LIGO
|
We present recent results from searches by the LIGO Science Collaboration for
bursts of gravitational-wave radiation, as well as the status of other ongoing
searches. These include directed searches for bursts associated with observed
sources (gamma-ray bursts, soft gamma repeaters) and untriggered searches for
bursts from unknown sources. We also present the status of some newer
investigations, such as coherent network methods. We show methods for
interpreting our search results in terms of astrophysical source distributions
that improve their accessibility to the wider community.
|
gr-qc
|
we present recent results from searches by the ligo science collaboration for bursts of gravitationalwave radiation as well as the status of other ongoing searches these include directed searches for bursts associated with observed sources gammaray bursts soft gamma repeaters and untriggered searches for bursts from unknown sources we also present the status of some newer investigations such as coherent network methods we show methods for interpreting our search results in terms of astrophysical source distributions that improve their accessibility to the wider community
|
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|
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|
706.4302
|
Silicon beamsplitter for Fourier transform spectroscopy at far infrared
frequencies
|
We report the performance of a silicon wafer beamsplitter for use for low
$\Delta\nu>0.3 cm^{-1}$ resolution Fourier transform spectroscopy at far
infrared frequencies. We characterize the Si beamsplitter by comparing
throughput spectra measured with it to those measured with the standard Mylar
beamsplitters commonly used in that range. We find that the throughput of the
silicon beamsplitter is substantially greater than that of the Mylar
beamsplitters over most of the IR spectrum, and that they are comparable in
some limited ranges. The 2 mm silicon beamsplitter has an etalon spacing of
about 0.7 cm^{-1}, which interferes with its use for $0.1 cm^{-1}<\Delta\nu <
0.3cm^{-1}$. The average efficiency of the Si beamsplitter is 0.37 compared
with a maximum efficiency of 0.35 for Mylar. The Si is particularly more
efficient in the 100 to 400 cm^{-1} range because of absorption in Mylar.
|
physics.ins-det physics.optics
|
we report the performance of a silicon wafer beamsplitter for use for low deltanu03 cm1 resolution fourier transform spectroscopy at far infrared frequencies we characterize the si beamsplitter by comparing throughput spectra measured with it to those measured with the standard mylar beamsplitters commonly used in that range we find that the throughput of the silicon beamsplitter is substantially greater than that of the mylar beamsplitters over most of the ir spectrum and that they are comparable in some limited ranges the 2 mm silicon beamsplitter has an etalon spacing of about 07 cm1 which interferes with its use for 01 cm1deltanu 03cm1 the average efficiency of the si beamsplitter is 037 compared with a maximum efficiency of 035 for mylar the si is particularly more efficient in the 100 to 400 cm1 range because of absorption in mylar
|
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|
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|
706.4303
|
Global General Relativistic MHD Simulation of a Tilted Black-Hole
Accretion Disk
|
This paper presents a continuation of our efforts to numerically study
accretion disks that are misaligned (tilted) with respect to the rotation axis
of a Kerr black hole. Here we present results of a global numerical simulation
which fully incorporates the effects of the black hole spacetime as well as
magnetorotational turbulence that is the primary source of angular momentum
transport in the flow. This simulation shows dramatic differences from
comparable simulations of untilted disks. Accretion onto the hole occurs
predominantly through two opposing plunging streams that start from high
latitudes with respect to both the black-hole and disk midplanes. This is due
to the aspherical nature of the gravitational spacetime around the rotating
black hole. These plunging streams start from a larger radius than would be
expected for an untilted disk. In this regard the tilted black hole effectively
acts like an untilted black hole of lesser spin. Throughout the duration of the
simulation, the main body of the disk remains tilted with respect to the
symmetry plane of the black hole; thus there is no indication of a
Bardeen-Petterson effect in the disk at large. The torque of the black hole
instead principally causes a global precession of the main disk body. In this
simulation the precession has a frequency of $3 (M_\odot/M)$ Hz, a value
consistent with many observed low-frequency quasi-periodic oscillations.
However, this value is strongly dependent on the size of the disk, so this
frequency may be expected to vary over a large range.
|
astro-ph
|
this paper presents a continuation of our efforts to numerically study accretion disks that are misaligned tilted with respect to the rotation axis of a kerr black hole here we present results of a global numerical simulation which fully incorporates the effects of the black hole spacetime as well as magnetorotational turbulence that is the primary source of angular momentum transport in the flow this simulation shows dramatic differences from comparable simulations of untilted disks accretion onto the hole occurs predominantly through two opposing plunging streams that start from high latitudes with respect to both the blackhole and disk midplanes this is due to the aspherical nature of the gravitational spacetime around the rotating black hole these plunging streams start from a larger radius than would be expected for an untilted disk in this regard the tilted black hole effectively acts like an untilted black hole of lesser spin throughout the duration of the simulation the main body of the disk remains tilted with respect to the symmetry plane of the black hole thus there is no indication of a bardeenpetterson effect in the disk at large the torque of the black hole instead principally causes a global precession of the main disk body in this simulation the precession has a frequency of 3 m_odotm hz a value consistent with many observed lowfrequency quasiperiodic oscillations however this value is strongly dependent on the size of the disk so this frequency may be expected to vary over a large range
|
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|
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|
706.4304
|
Erratum: Assessment of uncertainties in QRPA $0\nu\beta\beta$-decay
nuclear matrix elements [Nucl. Phys. A 766, 107 (2006)]
|
This is an erratum to our previously published paper.
|
nucl-th hep-ph
|
this is an erratum to our previously published paper
|
[['this', 'is', 'an', 'erratum', 'to', 'our', 'previously', 'published', 'paper']]
|
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|
706.4305
|
Moments from their very truncations
|
It is known that positive definiteness is not enough for the multidimensional
moment problem to be solved. We would like throw in to the garden of existing
in this matter so far results one more, a result which takes into
considerations the utmost possible truncations.
|
math.FA math.CA
|
it is known that positive definiteness is not enough for the multidimensional moment problem to be solved we would like throw in to the garden of existing in this matter so far results one more a result which takes into considerations the utmost possible truncations
|
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|
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|
706.4306
|
Smooth models of quiver moduli
|
For any moduli space of stable representations of quivers, certain smooth
varieties, compactifying projective space fibrations over the moduli space, are
constructed. The boundary of this compactification is analyzed. Explicit
formulas for the Betti numbers of the smooth models are derived. In the case of
moduli of simple representations, explicit cell decompositions of the smooth
models are constructed.
|
math.RT math.AG math.CO
|
for any moduli space of stable representations of quivers certain smooth varieties compactifying projective space fibrations over the moduli space are constructed the boundary of this compactification is analyzed explicit formulas for the betti numbers of the smooth models are derived in the case of moduli of simple representations explicit cell decompositions of the smooth models are constructed
|
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|
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|
706.4307
|
Sonic booms and diffusion wakes generated by a heavy quark in thermal
AdS/CFT
|
We evaluate the Poynting vector generated by a heavy quark moving through a
thermal state of N=4 gauge theory using AdS/CFT. A significant diffusion wake
is observed as well as a Mach cone. We discuss the ratio of the energy going
into sound modes to the energy coming in from the wake.
|
hep-th hep-ph nucl-th
|
we evaluate the poynting vector generated by a heavy quark moving through a thermal state of n4 gauge theory using adscft a significant diffusion wake is observed as well as a mach cone we discuss the ratio of the energy going into sound modes to the energy coming in from the wake
|
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|
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|
706.4308
|
Reducibility of the polynomial representation of the degenerate double
affine Hecke algebra
|
In this note we determine the values of parameters c for which the polynomial
representation of the degenerate double affine Hecke algebra (DAHA), i.e. the
trigonometric Cherednik algebra, is reducible. Namely, we show that c is a
reducibility point for the polynomial representation of the trigonometric
Cherednik algebra for a root system R if and only if it is a reducibility point
for the rational Cherednik algebra for the Weyl group of some root subsystem R'
of R of the same rank; such subsystems for any R are given by the well known
Borel-de Siebenthal algorithm. This result has been proved by Cherednik using a
case-by-case method.
|
math.QA math.RT
|
in this note we determine the values of parameters c for which the polynomial representation of the degenerate double affine hecke algebra daha ie the trigonometric cherednik algebra is reducible namely we show that c is a reducibility point for the polynomial representation of the trigonometric cherednik algebra for a root system r if and only if it is a reducibility point for the rational cherednik algebra for the weyl group of some root subsystem r of r of the same rank such subsystems for any r are given by the well known borelde siebenthal algorithm this result has been proved by cherednik using a casebycase method
|
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|
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|
706.4309
|
Constraints on the extra dimension from KK gravitino decay
|
We study the consequences of the gravitino decay into dark matter. We suppose
that the lightest neutralino is the main component of dark matter. In our
framework gravitino is heavy enough to decay before Big Bang Nucleosynthesis
starts. We consider a model coming from a five dimensional supergravity
compactified on $S^1/Z_2$ with gravity in the bulk and matter localized on
tensionless branes at the orbifold fixed points. We require that the dark
matter, which is produced thermally and in the decay of Kaluza-Klein modes of
gravitino, has an abundance compatible with observation. We deduce from our
model that there are curves of constraints between the size of the
extra-dimension and the reheating temperature of the universe after inflation.
This talk is based on hep-ph/0702183 to be published in \PRD.
|
hep-ph
|
we study the consequences of the gravitino decay into dark matter we suppose that the lightest neutralino is the main component of dark matter in our framework gravitino is heavy enough to decay before big bang nucleosynthesis starts we consider a model coming from a five dimensional supergravity compactified on s1z_2 with gravity in the bulk and matter localized on tensionless branes at the orbifold fixed points we require that the dark matter which is produced thermally and in the decay of kaluzaklein modes of gravitino has an abundance compatible with observation we deduce from our model that there are curves of constraints between the size of the extradimension and the reheating temperature of the universe after inflation this talk is based on hepph0702183 to be published in prd
|
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|
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|
706.431
|
Exotic phase diagram of a cluster charging model of bosons on the kagome
lattice
|
We study a model of hard-core bosons on the kagome lattice with short-range
hopping ($t$) and repulsive interactions ($V$). This model directly maps on to
an easy-axis $S=1/2$ XXZ model on the kagome lattice and is also related, at
large $V/t$, to a quantum dimer model on the triangular lattice. Using quantum
Monte Carlo (QMC) numerics, we map out the phase diagram of this model at
half-filling. At T=0, we show that this model exhibits a superfluid phase at
small $V/t$ and an insulating phase at large $V/t$, separated by a continuous
quantum phase transition at $V_c/t \approx 19.8$. The insulating phase at T=0
appears to have no conventional broken symmetries, and is thus a uniform Mott
insulator (a `spin liquid' in magnetic language). We characterize this
insulating phase as a uniform $Z_2$ fractionalized insulator from the
topological order in the ground state and estimate its vison gap. Consistent
with this identification, there is no apparent thermal phase transition upon
heating the insulator. The insulating phase instead smoothly crosses over into
the high temperature paramagnet via an intermediate cooperative paramagnetic
regime. We also study the superfluid-to-normal thermal transition for $V <
V_c$. We find that this is a Kosterlitz-Thouless transition at small $V/t$ but
changes to a first order transition for $V$ closer to $V_c$. We argue that this
first order thermal transition is consistent with the presence of a nearby
$Z_2$ insulating ground state obtained from the superfluid ground state by
condensing double vortices.
|
cond-mat.str-el
|
we study a model of hardcore bosons on the kagome lattice with shortrange hopping t and repulsive interactions v this model directly maps on to an easyaxis s12 xxz model on the kagome lattice and is also related at large vt to a quantum dimer model on the triangular lattice using quantum monte carlo qmc numerics we map out the phase diagram of this model at halffilling at t0 we show that this model exhibits a superfluid phase at small vt and an insulating phase at large vt separated by a continuous quantum phase transition at v_ct approx 198 the insulating phase at t0 appears to have no conventional broken symmetries and is thus a uniform mott insulator a spin liquid in magnetic language we characterize this insulating phase as a uniform z_2 fractionalized insulator from the topological order in the ground state and estimate its vison gap consistent with this identification there is no apparent thermal phase transition upon heating the insulator the insulating phase instead smoothly crosses over into the high temperature paramagnet via an intermediate cooperative paramagnetic regime we also study the superfluidtonormal thermal transition for v v_c we find that this is a kosterlitzthouless transition at small vt but changes to a first order transition for v closer to v_c we argue that this first order thermal transition is consistent with the presence of a nearby z_2 insulating ground state obtained from the superfluid ground state by condensing double vortices
|
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|
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|
706.4311
|
LHC Phenomenology of an Extended Standard Model with a Real Scalar
Singlet
|
Gauge singlet extensions of the Standard Model (SM) scalar sector may help
remedy its theoretical and phenomenological shortcomings while solving
outstanding problems in cosmology. Depending on the symmetries of the scalar
potential, such extensions may provide a viable candidate for the observed
relic density of cold dark matter or a strong first order electroweak phase
transition needed for electroweak baryogenesis. Using the simplest extension of
the SM scalar sector with one real singlet field, we analyze the generic
implications of a singlet-extended scalar sector for Higgs boson phenomenology
at the Large Hadron Collider (LHC). We consider two broad scenarios: one in
which the neutral SM Higgs and singlet mix and the other in which no mixing
occurs and the singlet can be a dark matter particle. For the first scenario,
we analyze constraints from electroweak precision observables and their
implications for LHC Higgs phenomenology. For models in which the singlet is
stable, we determine the conditions under which it can yield the observed relic
density, compute the cross sections for direct detection in recoil experiments,
and discuss the corresponding signatures at the LHC.
|
hep-ph
|
gauge singlet extensions of the standard model sm scalar sector may help remedy its theoretical and phenomenological shortcomings while solving outstanding problems in cosmology depending on the symmetries of the scalar potential such extensions may provide a viable candidate for the observed relic density of cold dark matter or a strong first order electroweak phase transition needed for electroweak baryogenesis using the simplest extension of the sm scalar sector with one real singlet field we analyze the generic implications of a singletextended scalar sector for higgs boson phenomenology at the large hadron collider lhc we consider two broad scenarios one in which the neutral sm higgs and singlet mix and the other in which no mixing occurs and the singlet can be a dark matter particle for the first scenario we analyze constraints from electroweak precision observables and their implications for lhc higgs phenomenology for models in which the singlet is stable we determine the conditions under which it can yield the observed relic density compute the cross sections for direct detection in recoil experiments and discuss the corresponding signatures at the lhc
|
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|
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|
706.4312
|
Interacting Binaries with Eccentric Orbits. Secular Orbital Evolution
Due To Conservative Mass Transfer
|
We investigate the secular evolution of the orbital semi-major axis and
eccentricity due to mass transfer in eccentric binaries, assuming conservation
of total system mass and orbital angular momentum. Assuming a delta function
mass transfer rate centered at periastron, we find rates of secular change of
the orbital semi-major axis and eccentricity which are linearly proportional to
the magnitude of the mass transfer rate at periastron. The rates can be
positive as well as negative, so that the semi-major axis and eccentricity can
increase as well as decrease in time. Adopting a delta-function mass-transfer
rate of $10^{-9} M_\sun {\rm yr}^{-1}$ at periastron yields orbital evolution
timescales ranging from a few Myr to a Hubble time or more, depending on the
binary mass ratio and orbital eccentricity. Comparison with orbital evolution
timescales due to dissipative tides furthermore shows that tides cannot, in all
cases, circularize the orbit rapidly enough to justify the often adopted
assumption of instantaneous circularization at the onset of mass transfer. The
formalism presented can be incorporated in binary evolution and population
synthesis codes to create a self-consistent treatment of mass transfer in
eccentric binaries.
|
astro-ph
|
we investigate the secular evolution of the orbital semimajor axis and eccentricity due to mass transfer in eccentric binaries assuming conservation of total system mass and orbital angular momentum assuming a delta function mass transfer rate centered at periastron we find rates of secular change of the orbital semimajor axis and eccentricity which are linearly proportional to the magnitude of the mass transfer rate at periastron the rates can be positive as well as negative so that the semimajor axis and eccentricity can increase as well as decrease in time adopting a deltafunction masstransfer rate of 109 m_sun rm yr1 at periastron yields orbital evolution timescales ranging from a few myr to a hubble time or more depending on the binary mass ratio and orbital eccentricity comparison with orbital evolution timescales due to dissipative tides furthermore shows that tides cannot in all cases circularize the orbit rapidly enough to justify the often adopted assumption of instantaneous circularization at the onset of mass transfer the formalism presented can be incorporated in binary evolution and population synthesis codes to create a selfconsistent treatment of mass transfer in eccentric binaries
|
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|
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|
706.4313
|
Rephasing Invariants of Quark and Lepton Mixing Matrices
|
Rephasing invariants of quark and lepton mixing matrices are obtained in the
standard model extended by the seesaw mechanism, and in its low-energy
effective theory with the dimension-five Majorana mass operator. We classify
the basic invariants, discuss non-trivial relations between them, and determine
the independent invariants which characterize all the information in the mixing
matrices in a basis-independent way. We also discuss the restrictions on the
allowed ranges for the mixing phases, and on the rephasing invariants, which
follow from a discrete invariance of the Majorana mass matrix.
|
hep-ph
|
rephasing invariants of quark and lepton mixing matrices are obtained in the standard model extended by the seesaw mechanism and in its lowenergy effective theory with the dimensionfive majorana mass operator we classify the basic invariants discuss nontrivial relations between them and determine the independent invariants which characterize all the information in the mixing matrices in a basisindependent way we also discuss the restrictions on the allowed ranges for the mixing phases and on the rephasing invariants which follow from a discrete invariance of the majorana mass matrix
|
[['rephasing', 'invariants', 'of', 'quark', 'and', 'lepton', 'mixing', 'matrices', 'are', 'obtained', 'in', 'the', 'standard', 'model', 'extended', 'by', 'the', 'seesaw', 'mechanism', 'and', 'in', 'its', 'lowenergy', 'effective', 'theory', 'with', 'the', 'dimensionfive', 'majorana', 'mass', 'operator', 'we', 'classify', 'the', 'basic', 'invariants', 'discuss', 'nontrivial', 'relations', 'between', 'them', 'and', 'determine', 'the', 'independent', 'invariants', 'which', 'characterize', 'all', 'the', 'information', 'in', 'the', 'mixing', 'matrices', 'in', 'a', 'basisindependent', 'way', 'we', 'also', 'discuss', 'the', 'restrictions', 'on', 'the', 'allowed', 'ranges', 'for', 'the', 'mixing', 'phases', 'and', 'on', 'the', 'rephasing', 'invariants', 'which', 'follow', 'from', 'a', 'discrete', 'invariance', 'of', 'the', 'majorana', 'mass', 'matrix']]
|
[-0.13404035926479, 0.252039413232441, -0.05214682303961705, 0.15603912451346827, -0.03980749735968526, -0.1548390672806735, 0.07955230057467072, 0.29231804552149365, -0.289835468061607, -0.3008811132326214, 0.07290360922078518, -0.2441984023052183, -0.12056503043277189, 0.11728682887306521, -0.0035808279644697905, 0.055343608487667305, -0.001885172051102431, 0.024716731981077992, -0.18587825328788973, -0.1868517802530815, 0.37565775914646854, -0.035424031909893856, 0.22918090588593093, 0.06558726352556153, 0.08179669009140608, -0.004497027828950773, -0.08680524676773613, -0.1240351533792405, -0.14135684820146047, 0.07796995919885706, 0.16302666473347927, 0.07766341819983195, 0.03528780100697821, -0.38991601997986436, -0.14081933086642742, 0.12464036835907874, 0.11960903553567319, 0.07736647402734062, -0.03697243052672341, -0.32211585595822806, 0.052943446059626614, -0.20173153962770646, -0.12884533952985128, -0.10526538724132645, -0.013511780003847723, -0.062162481671707195, -0.3056313435054934, 0.053939813656060404, 0.0035636658060618424, 0.009269301761047576, 0.0021462114673340693, -0.11453781229316849, -0.056956709680062806, 0.11177835848436436, 0.08885470826300496, -0.09325354256989984, 0.10412536859935657, -0.1195109355612658, -0.12706690201197157, 0.38944096855729265, -0.06157653674811379, -0.23177517542552034, 0.13944403142985803, -0.1257631268793127, -0.1670236773048104, 0.052531780680345204, 0.13154833008196543, 0.09017731411784718, -0.1611769971416586, 0.16039057035496543, -0.09662697195017245, 0.09540855274033012, 0.04156531624771147, 0.09519413001412018, 0.22808898189528423, 0.08444395901592956, 0.059897913385859945, 0.052210820383730934, -0.020842247969664062, -0.08442288444017652, -0.37144423205278476, -0.16184308560729155, -0.13815555053323889, 0.03738335008330813, -0.13999871441245143, -0.12356517437993633, 0.5109420643738386, 0.14926460506368047, 0.21486923133488744, 0.06777765417460944, 0.25754234504314477, 0.11919576610142196, 0.12209480487085371, 0.04078588742678138, 0.24695512079845436, 0.2424768334259914, 0.06217342779167335, -0.2835633178924168, 0.013877802782438019, 0.14046690603506498]
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