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706.1314
|
When Did Cosmic Acceleration Start ?
|
A precise determination, and comparison, of the epoch of the onset of cosmic
acceleration, at redshift z_acc, and of dark energy domination, at z_eq,
provides an interesting measure with which to parameterize dark energy models.
By combining several cosmological datasets we place constraints on the redshift
and age of cosmological acceleration. For a Lambda-CDM model, we find the
constraint z_acc=0.76\pm0.10 at 95% c.l., occurring 6.7\pm0.4 Gyrs ago.
Allowing a constant equation of state but different from -1 changes the
constraints to z_acc=0.81\pm0.12 (6.9\pm0.5 Gyrs ago) and
z_eq=0.48\pm0.14(4.9\pm0.9 Gyrs ago), while dynamical models markedly increase
the error on the constraints with z_acc=0.81\pm0.30 (6.8\pm1.4 Gyrs ago) and
z_eq=0.44\pm0.20 (4.5\pm1.0 Gyrs ago). Unified dark energy models as Silent
Quartessence yield: z_acc=0.80\pm0.16 (6.8\pm0.6 Gyrs ago).
|
astro-ph gr-qc hep-ph
|
a precise determination and comparison of the epoch of the onset of cosmic acceleration at redshift z_acc and of dark energy domination at z_eq provides an interesting measure with which to parameterize dark energy models by combining several cosmological datasets we place constraints on the redshift and age of cosmological acceleration for a lambdacdm model we find the constraint z_acc076pm010 at 95 cl occurring 67pm04 gyrs ago allowing a constant equation of state but different from 1 changes the constraints to z_acc081pm012 69pm05 gyrs ago and z_eq048pm01449pm09 gyrs ago while dynamical models markedly increase the error on the constraints with z_acc081pm030 68pm14 gyrs ago and z_eq044pm020 45pm10 gyrs ago unified dark energy models as silent quartessence yield z_acc080pm016 68pm06 gyrs ago
|
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|
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|
706.1315
|
The Dirac system on the Anti-de Sitter Universe
|
We investigate the global solutions of the Dirac equation on the
Anti-de-Sitter Universe. Since this space is not globally hyperbolic, the
Cauchy problem is not, {\it a priori}, well-posed. Nevertheless we can prove
that there exists unitary dynamics, but its uniqueness crucially depends on the
ratio beween the mass $M$ of the field and the cosmological constant
$\Lambda>0$ : it appears a critical value, $\Lambda/12$, which plays a role
similar to the Breitenlohner-Freedman bound for the scalar fields. When
$M^2\geq \Lambda/12$ there exists a unique unitary dynamics. In opposite, for
the light fermions satisfying $M^2<\Lambda/12$, we construct several asymptotic
conditions at infinity, such that the problem becomes well-posed. In all the
cases, the spectrum of the hamiltonian is discrete. We also prove a result of
equipartition of the energy.
|
math-ph math.AP math.MP
|
we investigate the global solutions of the dirac equation on the antidesitter universe since this space is not globally hyperbolic the cauchy problem is not it a priori wellposed nevertheless we can prove that there exists unitary dynamics but its uniqueness crucially depends on the ratio beween the mass m of the field and the cosmological constant lambda0 it appears a critical value lambda12 which plays a role similar to the breitenlohnerfreedman bound for the scalar fields when m2geq lambda12 there exists a unique unitary dynamics in opposite for the light fermions satisfying m2lambda12 we construct several asymptotic conditions at infinity such that the problem becomes wellposed in all the cases the spectrum of the hamiltonian is discrete we also prove a result of equipartition of the energy
|
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|
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|
706.1316
|
Coupling of Optical Lumped Nanocircuit Elements and Effects of
Substrates
|
We present here a model for the coupling among small nanoparticles excited by
an optical electric field in the framework of our optical lumped nanocircuit
theory [N. Engheta, A. Salandrino, and A. Alu Phys. Rev. Lett. 95, 095504
(2005)]. We derive how this coupling affects the corresponding nanocircuit
model by adding controlled sources that depend on the optical voltages applied
on the coupled particles. With the same technique, we can model also the
presence of a substrate underneath nanocircuit elements, relating its presence
to the coupling with a properly modeled image nanoparticle. These results are
of importance in the understanding and the design of complex optical
nanocircuits at infrared and optical frequencies.
|
cond-mat.mtrl-sci
|
we present here a model for the coupling among small nanoparticles excited by an optical electric field in the framework of our optical lumped nanocircuit theory n engheta a salandrino and a alu phys rev lett 95 095504 2005 we derive how this coupling affects the corresponding nanocircuit model by adding controlled sources that depend on the optical voltages applied on the coupled particles with the same technique we can model also the presence of a substrate underneath nanocircuit elements relating its presence to the coupling with a properly modeled image nanoparticle these results are of importance in the understanding and the design of complex optical nanocircuits at infrared and optical frequencies
|
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|
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|
706.1317
|
A model for learning to segment temporal sequences, utilizing a mixture
of RNN experts together with adaptive variance
|
This paper proposes a novel learning method for a mixture of recurrent neural
network (RNN) experts model, which can acquire the ability to generate desired
sequences by dynamically switching between experts. Our method is based on
maximum likelihood estimation, using a gradient descent algorithm. This
approach is similar to that used in conventional methods; however, we modify
the likelihood function by adding a mechanism to alter the variance for each
expert. The proposed method is demonstrated to successfully learn Markov chain
switching among a set of 9 Lissajous curves, for which the conventional method
fails. The learning performance, analyzed in terms of the generalization
capability, of the proposed method is also shown to be superior to that of the
conventional method. With the addition of a gating network, the proposed method
is successfully applied to the learning of sensory-motor flows for a small
humanoid robot as a realistic problem of time series prediction and generation.
|
nlin.AO
|
this paper proposes a novel learning method for a mixture of recurrent neural network rnn experts model which can acquire the ability to generate desired sequences by dynamically switching between experts our method is based on maximum likelihood estimation using a gradient descent algorithm this approach is similar to that used in conventional methods however we modify the likelihood function by adding a mechanism to alter the variance for each expert the proposed method is demonstrated to successfully learn markov chain switching among a set of 9 lissajous curves for which the conventional method fails the learning performance analyzed in terms of the generalization capability of the proposed method is also shown to be superior to that of the conventional method with the addition of a gating network the proposed method is successfully applied to the learning of sensorymotor flows for a small humanoid robot as a realistic problem of time series prediction and generation
|
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|
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|
706.1318
|
Constructing a maximum utility slate of on-line advertisements
|
We present an algorithm for constructing an optimal slate of sponsored search
advertisements which respects the ordering that is the outcome of a generalized
second price auction, but which must also accommodate complicating factors such
as overall budget constraints. The algorithm is easily fast enough to use on
the fly for typical problem sizes, or as a subroutine in an overall
optimization.
|
cs.DM cs.DS
|
we present an algorithm for constructing an optimal slate of sponsored search advertisements which respects the ordering that is the outcome of a generalized second price auction but which must also accommodate complicating factors such as overall budget constraints the algorithm is easily fast enough to use on the fly for typical problem sizes or as a subroutine in an overall optimization
|
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|
[-0.07965052640159434, 0.05054909288165002, -0.09248114884981225, 0.10120176949403098, -0.15939386050036597, -0.13963463845392388, 0.11440303572829091, 0.40752446661973674, -0.30625990664045655, -0.3642979626273436, 0.153318430452923, -0.21592015158685465, -0.15840933672077354, 0.19856278123071178, -0.0871547237339039, 0.02873634583797426, 0.04249281886093799, 0.04464307691781751, -0.02730474883461401, -0.29055493042594, 0.25656630741169434, 0.14851445460414153, 0.2331944790278231, 0.03003594114805662, 0.097445969049248, 0.02056712992939978, 0.019834680385106513, 0.02564384732695837, -0.08536850516893243, 0.10145672692188752, 0.2708289499034084, 0.2133372464637843, 0.31063769000672525, -0.38604629460361695, -0.12882795139786699, 0.13595901624930481, 0.14374800946848887, 0.08809311525340402, -0.08412034591216774, -0.20856580593352836, 0.06160420245460926, -0.18165191976473696, -0.07013029701286747, -0.0960582731622121, -0.002960584096370205, -0.009394125862708014, -0.3759786590573288, -0.004975269072137082, 0.03157015176369778, -0.037773095874957016, -0.0651639603987156, -0.10397706838745263, 0.03681231259308275, 0.1337061042995042, 0.055751892677958936, 0.015440403754192015, 0.12264153919362973, -0.15084807660370583, -0.18632101949544683, 0.4583804424131109, -0.0033547835154158455, -0.18961240171695187, 0.11438990822963176, -0.02214526246497107, -0.17353663190958962, 0.12839832371701637, 0.23475714869076206, 0.1522137601108801, -0.16831319761507574, 0.036560561104242, -0.07792424425227387, 0.2139067824990038, 0.0310258642590094, 0.009574266473552393, 0.1533245791628536, 0.20434147266731148, 0.19946207917265354, 0.14095334662124515, -0.025623076155992044, -0.09725097412874381, -0.27830038704128274, -0.17778494263127928, -0.1626878577104259, 0.0021540796864897974, -0.10860357326906055, -0.1976167538293427, 0.3500955740004898, 0.14746256820076414, 0.1867370216866895, 0.08509875484366691, 0.33607421812391086, 0.10598418194304911, 0.060845114921610204, 0.11175434055903385, 0.16931912996956416, -0.05603845600759791, 0.09934296204723538, -0.202799735360332, 0.16325976522338967, 0.05456514171354713]
|
706.1319
|
Dealing with delicate issues in waveforms calculations
|
We revisit the calculation of gravitational radiation through the use of Weyl
scalars. We point out several possible problems arising from gauge and tetrad
ambiguities and ways to address them. Our analysis indicates how, relatively
simple corrections can be introduced to remove these ambiguities.
|
gr-qc
|
we revisit the calculation of gravitational radiation through the use of weyl scalars we point out several possible problems arising from gauge and tetrad ambiguities and ways to address them our analysis indicates how relatively simple corrections can be introduced to remove these ambiguities
|
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|
[-0.09597396160560576, 0.11082875022177839, -0.1023640452503142, 0.11581968434620649, -0.1764329848387702, -0.11303248291369528, 0.07903307104821909, 0.3594948551194234, -0.2894048248841004, -0.29423399752175267, 0.045194913358004254, -0.2806964546696029, -0.17501747218722646, 0.1560603161342442, -0.07720992108806968, 0.03333423667672006, 0.05366842220114036, -0.07112168184142899, -0.13918084268251815, -0.22813793513077227, 0.3989632076753134, 0.056472424121404234, 0.16180917375128379, 0.0749833591451699, 0.08092183957342058, -0.018914621979506177, -0.12896131620403717, 0.027177178173918615, -0.09479088950584727, 0.07430695345498282, 0.2583969393956729, 0.09972123937173323, 0.21417643611973539, -0.44552203284745867, -0.2175984427078881, 0.10945822831920603, 0.15044540175321428, 0.19506144125691868, -0.03160378623711453, -0.2967420561577786, 0.06493040458934213, -0.170709160706875, -0.1547977827113672, -0.17114147256043824, -0.07834954153407704, -0.10816176413473758, -0.19560741290280764, 0.05315480493432419, 0.012195368128066713, -0.01858216223560951, -0.0006935253464193506, -0.10440194604664364, 0.023508779572280633, 0.12379751339639453, 0.18003503445916894, 0.002048767256465825, 0.14665697271596978, -0.10161172509701415, -0.15032352253117345, 0.44497138718989765, -0.02237051683054729, -0.22834642714058812, 0.19916040611728517, -0.06628370568664237, -0.17558333946561272, 0.09239366157403724, 0.13460610147078775, 0.11860590159300376, -0.1891812528695234, 0.11648413934480314, 0.03344422221099111, 0.10930088203498269, 0.12440504942258651, 0.015120426171713254, 0.2820252391763709, -0.00417109557681463, -0.021941055967049164, 0.15711142027232033, -0.08122437499762535, -0.058676755099440925, -0.3810080322860317, -0.10313083925707774, -0.09616029757837002, 0.06908787188215436, -0.07847237445093924, -0.12394380933520469, 0.3892386039845984, 0.28738509164064785, 0.17610278549942782, 0.01079323324798183, 0.26860007287574594, 0.10496691580258564, 0.10123501836576244, 0.024495909773659976, 0.26915241045538674, 0.15365066877777941, 0.06430797368838367, -0.24184713590445675, -0.09293309616094286, 0.06470967712812126]
|
706.132
|
Accretion vs colliding wind models for the gamma-ray binary LS I +61
303: an assessment
|
LS I +61 303 is a puzzling Be/X-ray binary with variable gamma-ray emission
at up TeV energies. The nature of the compact object and the origin of the
high-energy emission are unclear. One family of models invokes particle
acceleration in shocks from the collision between the B-star wind and a
relativistic pulsar wind, while another centers on a relativistic jet powered
by accretion. Recent high-resolution radio observations showing a putative
"cometary tail" pointing away from the Be star near periastron have been cited
as support for the pulsar-wind model. We wish here to carry out a quantitative
assessment of these competing models for this extraordinary source. We apply a
3D SPH code for dynamical simulations of both the pulsar-wind-interaction and
accretion-jet models. The former yields a description of the shape of the
wind-wind interaction surface. The latter provides an estimation of the
accretion rate. The results allow critical evaluation of how the two distinct
models confront the data in various wavebands under a range of conditions. When
one accounts for the 3D dynamical wind interaction under realistic constraints
for the relative strength of the B-star and pulsar winds, the resulting form of
the interaction front does not match the putative "cometary tail" claimed from
radio observations. On the other hand, dynamical simulations of the
accretion-jet model indicate that the orbital phase variation of accretion
power includes a secondary broad peak well away from periastron, thus providing
a plausible way to explain the observed TeV gamma ray emission toward apastron.
We conclude that the colliding-wind model is not clearly established for LS I
+61 303, while the accretion-jet model can reproduce many key characteristics
of the observed TeV gamma-ray emission.
|
astro-ph
|
ls i 61 303 is a puzzling bexray binary with variable gammaray emission at up tev energies the nature of the compact object and the origin of the highenergy emission are unclear one family of models invokes particle acceleration in shocks from the collision between the bstar wind and a relativistic pulsar wind while another centers on a relativistic jet powered by accretion recent highresolution radio observations showing a putative cometary tail pointing away from the be star near periastron have been cited as support for the pulsarwind model we wish here to carry out a quantitative assessment of these competing models for this extraordinary source we apply a 3d sph code for dynamical simulations of both the pulsarwindinteraction and accretionjet models the former yields a description of the shape of the windwind interaction surface the latter provides an estimation of the accretion rate the results allow critical evaluation of how the two distinct models confront the data in various wavebands under a range of conditions when one accounts for the 3d dynamical wind interaction under realistic constraints for the relative strength of the bstar and pulsar winds the resulting form of the interaction front does not match the putative cometary tail claimed from radio observations on the other hand dynamical simulations of the accretionjet model indicate that the orbital phase variation of accretion power includes a secondary broad peak well away from periastron thus providing a plausible way to explain the observed tev gamma ray emission toward apastron we conclude that the collidingwind model is not clearly established for ls i 61 303 while the accretionjet model can reproduce many key characteristics of the observed tev gammaray emission
|
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|
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|
706.1321
|
Detailed study of the GRB 030329 radio afterglow deep into the
non-relativistic phase
|
We explore the physics behind one of the brightest radio afterglows ever, GRB
030329, at late times when the jet is non-relativistic. We determine the
physical parameters of the blast wave and its surroundings, in particular the
index of the electron energy distribution, the energy of the blast wave, and
the density (structure) of the circumburst medium. We then compare our results
with those from image size measurements. We observed the GRB 030329 radio
afterglow with the Westerbork Synthesis Radio Telescope and the Giant Metrewave
Radio Telescope at frequencies from 325 MHz to 8.4 GHz, spanning a time range
of 268-1128 days after the burst. We modeled all the available radio data and
derived the physical parameters. The index of the electron energy distribution
is p=2.1, the circumburst medium is homogeneous, and the transition to the
non-relativistic phase happens at t_NR ~ 80 days. The energy of the blast wave
and density of the surrounding medium are comparable to previous findings. Our
findings indicate that the blast wave is roughly spherical at t_NR, and they
agree with the implications from the VLBI studies of image size evolution. It
is not clear from the presented dataset whether we have seen emission from the
counter jet or not. We predict that the Low Frequency Array will be able to
observe the afterglow of GRB 030329 and many other radio afterglows,
constraining the physics of the blast wave during its non-relativistic phase
even further.
|
astro-ph
|
we explore the physics behind one of the brightest radio afterglows ever grb 030329 at late times when the jet is nonrelativistic we determine the physical parameters of the blast wave and its surroundings in particular the index of the electron energy distribution the energy of the blast wave and the density structure of the circumburst medium we then compare our results with those from image size measurements we observed the grb 030329 radio afterglow with the westerbork synthesis radio telescope and the giant metrewave radio telescope at frequencies from 325 mhz to 84 ghz spanning a time range of 2681128 days after the burst we modeled all the available radio data and derived the physical parameters the index of the electron energy distribution is p21 the circumburst medium is homogeneous and the transition to the nonrelativistic phase happens at t_nr 80 days the energy of the blast wave and density of the surrounding medium are comparable to previous findings our findings indicate that the blast wave is roughly spherical at t_nr and they agree with the implications from the vlbi studies of image size evolution it is not clear from the presented dataset whether we have seen emission from the counter jet or not we predict that the low frequency array will be able to observe the afterglow of grb 030329 and many other radio afterglows constraining the physics of the blast wave during its nonrelativistic phase even further
|
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|
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|
706.1322
|
Thermodynamics and the virial expansion for trapped fluids in arbitrary
external potentials
|
We present the full thermodynamics of a fluid confined by an arbitrary
external potential based on the virial expansion of the grand potential. The
fluid may be classical or quantum and it is assumed that interatomic
interactions are pairwise additive. We indicate how the appropriate
"generalized" volume and pressure variables, that replace the usual volume and
hydrostatic pressure, emerge for a given confining potential in the
thermodynamic limit. A discussion of the physical meaning and of the
measurement of these variables is presented. We emphasize that this treatment
yields the correct equation of state of the fluid and we give its virial
expansion. We propose an experiment to measure the heat capacity, so that with
this quantity and the equation of state, the complete thermodynamics of the
system may be extracted. As a corollary, we find that the so-called {\it local
density approximation} for these systems follows in the thermodynamic limit,
although we also point out that it cannot be used indiscriminately for all
local variables. Along the text we discuss the relevance of these findings in
the description of the currently confined ultracold gases.
|
cond-mat.stat-mech
|
we present the full thermodynamics of a fluid confined by an arbitrary external potential based on the virial expansion of the grand potential the fluid may be classical or quantum and it is assumed that interatomic interactions are pairwise additive we indicate how the appropriate generalized volume and pressure variables that replace the usual volume and hydrostatic pressure emerge for a given confining potential in the thermodynamic limit a discussion of the physical meaning and of the measurement of these variables is presented we emphasize that this treatment yields the correct equation of state of the fluid and we give its virial expansion we propose an experiment to measure the heat capacity so that with this quantity and the equation of state the complete thermodynamics of the system may be extracted as a corollary we find that the socalled it local density approximation for these systems follows in the thermodynamic limit although we also point out that it cannot be used indiscriminately for all local variables along the text we discuss the relevance of these findings in the description of the currently confined ultracold gases
|
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|
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|
706.1323
|
GRB 030329: 3 years of radio afterglow monitoring
|
Radio observations of gamma-ray burst (GRB) afterglows are essential for our
understanding of the physics of relativistic blast waves, as they enable us to
follow the evolution of GRB explosions much longer than the afterglows in any
other wave band. We have performed a three-year monitoring campaign of GRB
030329 with the Westerbork Synthesis Radio Telescopes (WSRT) and the Giant
Metrewave Radio Telescope (GMRT). Our observations, combined with observations
at other wavelengths, have allowed us to determine the GRB blast wave physical
parameters, such as the total burst energy and the ambient medium density, as
well as investigate the jet nature of the relativistic outflow. Further, by
modeling the late-time radio light curve of GRB 030329, we predict that the
Low-Frequency Array (LOFAR, 30-240 MHz) will be able to observe afterglows of
similar GRBs, and constrain the physics of the blast wave during its
non-relativistic phase.
|
astro-ph
|
radio observations of gammaray burst grb afterglows are essential for our understanding of the physics of relativistic blast waves as they enable us to follow the evolution of grb explosions much longer than the afterglows in any other wave band we have performed a threeyear monitoring campaign of grb 030329 with the westerbork synthesis radio telescopes wsrt and the giant metrewave radio telescope gmrt our observations combined with observations at other wavelengths have allowed us to determine the grb blast wave physical parameters such as the total burst energy and the ambient medium density as well as investigate the jet nature of the relativistic outflow further by modeling the latetime radio light curve of grb 030329 we predict that the lowfrequency array lofar 30240 mhz will be able to observe afterglows of similar grbs and constrain the physics of the blast wave during its nonrelativistic phase
|
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|
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|
706.1324
|
GRB 030329: three years of radio afterglow monitoring
|
Radio observations of gamma-ray burst (GRB) afterglows are essential for our
understanding of the physics of relativistic blast waves, as they enable us to
follow the evolution of GRB explosions much longer than the afterglows in any
other wave band. We have performed a three-year monitoring campaign of GRB
030329 with the Westerbork Synthesis Radio Telescopes (WSRT) and the Giant
Metrewave Radio Telescope (GMRT). Our observations, combined with observations
at other wavelengths, have allowed us to determine the GRB blast wave physical
parameters, such as the total burst energy and the ambient medium density, as
well as investigate the jet nature of the relativistic outflow. Further, by
modeling the late-time radio light curve of GRB 030329, we predict that the Low
Frequency Array (LOFAR, 30-240 MHz) will be able to observe afterglows of
similar GRBs, and constrain the physics of the blast wave during its
non-relativistic phase.
|
astro-ph
|
radio observations of gammaray burst grb afterglows are essential for our understanding of the physics of relativistic blast waves as they enable us to follow the evolution of grb explosions much longer than the afterglows in any other wave band we have performed a threeyear monitoring campaign of grb 030329 with the westerbork synthesis radio telescopes wsrt and the giant metrewave radio telescope gmrt our observations combined with observations at other wavelengths have allowed us to determine the grb blast wave physical parameters such as the total burst energy and the ambient medium density as well as investigate the jet nature of the relativistic outflow further by modeling the latetime radio light curve of grb 030329 we predict that the low frequency array lofar 30240 mhz will be able to observe afterglows of similar grbs and constrain the physics of the blast wave during its nonrelativistic phase
|
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|
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|
706.1325
|
Possible astronomical references in the planning of the Great Hopewell
Road
|
The possible existence of astronomical references in the planning of the
so-called Great Hopewell Road, a 90 Kilometres straight road composed of two
parallel earthen embankments which, according to recent surveys, likely
connected the Hopewell ceremonial centres of Newark and Chillicothe, Ohio, are
investigated. It turns out that a very peculiar, although simple, set of
astronomical alignments took place in connection with the road during possible
periods of its construction. The possibility of a non-fortuitous connection is
thus proposed and analysed.
|
physics.hist-ph
|
the possible existence of astronomical references in the planning of the socalled great hopewell road a 90 kilometres straight road composed of two parallel earthen embankments which according to recent surveys likely connected the hopewell ceremonial centres of newark and chillicothe ohio are investigated it turns out that a very peculiar although simple set of astronomical alignments took place in connection with the road during possible periods of its construction the possibility of a nonfortuitous connection is thus proposed and analysed
|
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|
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|
706.1326
|
The oscillation stability problem for the Urysohn sphere: A
combinatorial approach
|
We study the oscillation stability problem for the Urysohn sphere, an analog
of the distortion problem for $\ell_2$ in the context of the Urysohn space
$\Ur$. In particular, we show that this problem reduces to a purely
combinatorial problem involving a family of countable ultrahomogeneous metric
spaces with finitely many distances.
|
math.MG math.CO
|
we study the oscillation stability problem for the urysohn sphere an analog of the distortion problem for ell_2 in the context of the urysohn space ur in particular we show that this problem reduces to a purely combinatorial problem involving a family of countable ultrahomogeneous metric spaces with finitely many distances
|
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|
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|
706.1327
|
Hopf Algebras of Heap Ordered Trees and Permutations
|
It is known that there is a Hopf algebra structure on the vector space with
basis all heap-ordered trees. We give a new bialgebra structure on the space
with basis all permutations and show that there is a direct bialgebra
isomorphism between the Hopf algebra of heap-ordered trees and the bialgebra of
permutations.
|
math.RA
|
it is known that there is a hopf algebra structure on the vector space with basis all heapordered trees we give a new bialgebra structure on the space with basis all permutations and show that there is a direct bialgebra isomorphism between the hopf algebra of heapordered trees and the bialgebra of permutations
|
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|
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|
706.1328
|
N = 4 Superfiel Phase Space Coordinates and Hamiltonian Quantization
|
The N = 4 superfield phase space coordinates are given in the harmonic
superspace. The expressions of the N = 4 classical equations of motion are
determined in terms of the spinorial and harmonic supercharges. Furthermore,
the N = 4 supersymmetric actions are obtained by means of the fermionic and
harmonic functionals. On the other hand, the Hamiltonian quantization is
studied by performing the N = 4 supersymmetric action in harmonic subspace in
terms of analytic N = 4 superfield phase space coordinates.
|
hep-th
|
the n 4 superfield phase space coordinates are given in the harmonic superspace the expressions of the n 4 classical equations of motion are determined in terms of the spinorial and harmonic supercharges furthermore the n 4 supersymmetric actions are obtained by means of the fermionic and harmonic functionals on the other hand the hamiltonian quantization is studied by performing the n 4 supersymmetric action in harmonic subspace in terms of analytic n 4 superfield phase space coordinates
|
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|
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|
706.1329
|
Solidity of viscous liquids. V. Long-wavelength dominance of the
dynamics
|
This paper is the fifth in a series exploring the physical consequences of
the solidity of glass-forming liquids. Paper IV proposed a model where the
density field is described by a time-dependent Ginzburg-Landau equation of the
nonconserved type with rates in $k$ space of the form $\Gamma_0+Dk^2$. The
model assumes that $D\gg\Gamma_0a^2$ where $a$ is the average intermolecular
distance; this inequality expresses a long-wavelength dominance of the dynamics
which implies that the Hamiltonian (free energy) to a good approximation may be
taken to be ultralocal. In the present paper we argue that this is the simplest
model consistent with the following three experimental facts: 1) Viscous
liquids approaching the glass transition do not develop long-range order; 2)
The glass has lower compressibility than the liquid; 3) The alpha process
involves several decades of relaxation times shorter than the mean relaxation
time. The paper proceeds to list six further experimental facts characterizing
equilibrium viscous liquid dynamics and shows that these are readily understood
in terms of the model; some are direct consequences, others are quite natural
when viewed in light of the model.
|
cond-mat.soft
|
this paper is the fifth in a series exploring the physical consequences of the solidity of glassforming liquids paper iv proposed a model where the density field is described by a timedependent ginzburglandau equation of the nonconserved type with rates in k space of the form gamma_0dk2 the model assumes that dgggamma_0a2 where a is the average intermolecular distance this inequality expresses a longwavelength dominance of the dynamics which implies that the hamiltonian free energy to a good approximation may be taken to be ultralocal in the present paper we argue that this is the simplest model consistent with the following three experimental facts 1 viscous liquids approaching the glass transition do not develop longrange order 2 the glass has lower compressibility than the liquid 3 the alpha process involves several decades of relaxation times shorter than the mean relaxation time the paper proceeds to list six further experimental facts characterizing equilibrium viscous liquid dynamics and shows that these are readily understood in terms of the model some are direct consequences others are quite natural when viewed in light of the model
|
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|
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|
706.133
|
Note on: Considering the Case for Biodiversity Cycles: Reexamining the
Evidence for Periodicity in the Fossil Record, by Lieberman and Melott, arXiv
preprint 0704.2896
|
Lieberman and Melott built their recent arXiv preprint 0704.2896 on my
published paper and (a preprint of) a subsequent comment by Liebermans
associate Cornette. But had this group waited for the Cornette comment to
actually appear in print together with the expected Reply, they would have
learned that his comment exposes Cornettes confusion that likely was due to
journal misprint of my figure. Thus 0704.2896 is baseless. Despite receiving
the extended Reply with Errata, these authors still fail to recognize that
detrending of paleontological records-which they erroneously promote as a
must-is an arbitrary rather than a universal operation.
|
q-bio.PE astro-ph physics.geo-ph
|
lieberman and melott built their recent arxiv preprint 07042896 on my published paper and a preprint of a subsequent comment by liebermans associate cornette but had this group waited for the cornette comment to actually appear in print together with the expected reply they would have learned that his comment exposes cornettes confusion that likely was due to journal misprint of my figure thus 07042896 is baseless despite receiving the extended reply with errata these authors still fail to recognize that detrending of paleontological recordswhich they erroneously promote as a mustis an arbitrary rather than a universal operation
|
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|
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|
706.1331
|
On a Smale Theorem and Nonhomogeneous Equilibria in Cooperative Systems
|
A standard result by Smale states that n dimensional strongly cooperative
dynamical systems can have arbitrary dynamics when restricted to unordered
invariant hyperspaces. In this paper this result is extended to the case when
all solutions of the strongly cooperative system are bounded and converge
towards one of only two equilibria outside of the hyperplane.
An application is given in the context of strongly cooperative systems of
reaction diffusion equations. It is shown that such a system can have a
continuum of spatially inhomogeneous steady states, even when all solutions of
the underlying reaction system converge to one of only three equilibria.
|
math.DS math.AP
|
a standard result by smale states that n dimensional strongly cooperative dynamical systems can have arbitrary dynamics when restricted to unordered invariant hyperspaces in this paper this result is extended to the case when all solutions of the strongly cooperative system are bounded and converge towards one of only two equilibria outside of the hyperplane an application is given in the context of strongly cooperative systems of reaction diffusion equations it is shown that such a system can have a continuum of spatially inhomogeneous steady states even when all solutions of the underlying reaction system converge to one of only three equilibria
|
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|
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|
706.1332
|
Constraints on Galaxy Structure and Evolution from the Light of Nearby
Systems
|
We review knowledge of galaxy structures obtained by their emitted light and
in the local universe where they can be studied in great detail. We discuss the
shapes of, and stellar motions within, galaxies, compositional clues derived
from their spectra, and what luminous matter implies about their dark matter
content. Implications on the current theory of hierarchical galaxy formation
are explored.
|
astro-ph
|
we review knowledge of galaxy structures obtained by their emitted light and in the local universe where they can be studied in great detail we discuss the shapes of and stellar motions within galaxies compositional clues derived from their spectra and what luminous matter implies about their dark matter content implications on the current theory of hierarchical galaxy formation are explored
|
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|
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|
706.1333
|
An explicit construction of the Quillen homotopical category of dg Lie
algebras
|
Let $\g_1$ and $\g_2$ be two dg Lie algebras, then it is well-known that the
$L_\infty$ morphisms from $\g_1$ to $\g_2$ are in 1-1 correspondence to the
solutions of the Maurer-Cartan equation in some dg Lie algebra
$\Bbbk(\g_1,\g_2)$. Then the gauge action by exponents of the zero degree
component $\Bbbk(\g_1,\g_2)^0$ on $MC\subset\Bbbk(\g_1,\g_2)^1$ gives an
explicit "homotopy relation" between two $L_\infty$ morphisms. We prove that
the quotient category by this relation (that is, the category whose objects are
$L_\infty$ algebras and morphisms are $L_\infty$ morphisms modulo the gauge
relation) is well-defined, and is a localization of the category of dg Lie
algebras and dg Lie maps by quasi-isomorphisms. As localization is unique up to
an equivalence, it is equivalent to the Quillen-Hinich homotopical category of
dg Lie algebras [Q1,2], [H1,2]. Moreover, we prove that the Quillen's concept
of a homotopy coincides with ours. The last result was conjectured by
V.Dolgushev [D].
|
math.KT math.QA
|
let g_1 and g_2 be two dg lie algebras then it is wellknown that the l_infty morphisms from g_1 to g_2 are in 11 correspondence to the solutions of the maurercartan equation in some dg lie algebra bbbkg_1g_2 then the gauge action by exponents of the zero degree component bbbkg_1g_20 on mcsubsetbbbkg_1g_21 gives an explicit homotopy relation between two l_infty morphisms we prove that the quotient category by this relation that is the category whose objects are l_infty algebras and morphisms are l_infty morphisms modulo the gauge relation is welldefined and is a localization of the category of dg lie algebras and dg lie maps by quasiisomorphisms as localization is unique up to an equivalence it is equivalent to the quillenhinich homotopical category of dg lie algebras q12 h12 moreover we prove that the quillens concept of a homotopy coincides with ours the last result was conjectured by vdolgushev d
|
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|
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|
706.1334
|
Transients from initial conditions based on Lagrangian perturbation
theory in N-body simulations
|
We explore the initial conditions for cosmological N-body simulations
suitable for calculating the skewness and kurtosis of the density field. In
general, the initial conditions based on the perturbation theory (PT) provide
incorrect second-order and higher-order growth. These errors implied by the use
of the perturbation theory to set up the initial conditions in N-body
simulations are called transients. Unless these transients are completely
suppressed compared with the dominant growing mode, we can not reproduce the
correct evolution of cumulants with orders higher than two, even though there
is no problem with the numerical scheme. We investigate the impact of
transients on the observable statistical quantities by performing $N$-body
simulations with initial conditions based on Lagrangian perturbation theory
(LPT). We show that the effects of transients on the kurtosis from the initial
conditions, based on second-order Lagrangian perturbation theory (2LPT) have
almost disappeared by $z\sim5$, as long as the initial conditions are set at $z
> 30$. This means that for practical purposes, the initial conditions based on
2LPT are accurate enough for numerical calculations of skewness and kurtosis.
|
astro-ph
|
we explore the initial conditions for cosmological nbody simulations suitable for calculating the skewness and kurtosis of the density field in general the initial conditions based on the perturbation theory pt provide incorrect secondorder and higherorder growth these errors implied by the use of the perturbation theory to set up the initial conditions in nbody simulations are called transients unless these transients are completely suppressed compared with the dominant growing mode we can not reproduce the correct evolution of cumulants with orders higher than two even though there is no problem with the numerical scheme we investigate the impact of transients on the observable statistical quantities by performing nbody simulations with initial conditions based on lagrangian perturbation theory lpt we show that the effects of transients on the kurtosis from the initial conditions based on secondorder lagrangian perturbation theory 2lpt have almost disappeared by zsim5 as long as the initial conditions are set at z 30 this means that for practical purposes the initial conditions based on 2lpt are accurate enough for numerical calculations of skewness and kurtosis
|
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|
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|
706.1335
|
Geometric mesoscopic correlations in quasi-one dimension
|
We study analytically and numerically field/intensity correlations in wave
transport through volume-disordered waveguide. The obtained channel and spacial
correlations deviate from those found in framework of
Dorokhov-Mello-Pereyra-Kumar (DMPK) formalism, that we relate to
inapplicability of equivalent channel approximation in DMPK. We show that this
can be remedied by introducing boundary correction -- an escape function which
depends on the waveguide geometry -- that describes wave transport near a
boundary between random medium and free space. We obtain the expressions for
field/intensity channel and spacial correlation functions which agree with the
numerics and are consistent with the perturbative expressions in slab geometry
as well as experiments conducted in Q1D.
|
cond-mat.mes-hall cond-mat.dis-nn
|
we study analytically and numerically fieldintensity correlations in wave transport through volumedisordered waveguide the obtained channel and spacial correlations deviate from those found in framework of dorokhovmellopereyrakumar dmpk formalism that we relate to inapplicability of equivalent channel approximation in dmpk we show that this can be remedied by introducing boundary correction an escape function which depends on the waveguide geometry that describes wave transport near a boundary between random medium and free space we obtain the expressions for fieldintensity channel and spacial correlation functions which agree with the numerics and are consistent with the perturbative expressions in slab geometry as well as experiments conducted in q1d
|
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|
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|
706.1336
|
Can aerosols be trapped in open flows?
|
The fate of aerosols in open flows is relevant in a variety of physical
contexts. Previous results are consistent with the assumption that such
finite-size particles always escape in open chaotic advection. Here we show
that a different behavior is possible. We analyze the dynamics of aerosols both
in the absence and presence of gravitational effects, and both when the
dynamics of the fluid particles is hyperbolic and nonhyperbolic. Permanent
trapping of aerosols much heavier than the advecting fluid is shown to occur in
all these cases. This phenomenon is determined by the occurrence of multiple
vortices in the flow and is predicted to happen for realistic particle-fluid
density ratios.
|
nlin.CD astro-ph physics.flu-dyn
|
the fate of aerosols in open flows is relevant in a variety of physical contexts previous results are consistent with the assumption that such finitesize particles always escape in open chaotic advection here we show that a different behavior is possible we analyze the dynamics of aerosols both in the absence and presence of gravitational effects and both when the dynamics of the fluid particles is hyperbolic and nonhyperbolic permanent trapping of aerosols much heavier than the advecting fluid is shown to occur in all these cases this phenomenon is determined by the occurrence of multiple vortices in the flow and is predicted to happen for realistic particlefluid density ratios
|
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|
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|
706.1337
|
A note on Poisson homogeneous spaces
|
We identify the cotangent bundle Lie algebroid of a Poisson homogeneous space
G/H of a Poisson Lie group G as a quotient of a transformation Lie algebroid
over G. As applications, we describe the modular vector fields of G/H, and we
identify the Poisson cohomology of G/H with coefficients in powers of its
canonical line bundle with relative Lie algebra cohomology of the Drinfeld Lie
algebra associated to G/H. We also construct a Poisson groupoid over G/H which
is symplectic near the identity section. This note serves as preparation for
forthcoming papers, in which we will compute explicitly the Poisson cohomology
and study their symplectic groupoids for certain examples of Poisson
homogeneous spaces related to semi-simple Lie groups.
|
math.DG math.SG
|
we identify the cotangent bundle lie algebroid of a poisson homogeneous space gh of a poisson lie group g as a quotient of a transformation lie algebroid over g as applications we describe the modular vector fields of gh and we identify the poisson cohomology of gh with coefficients in powers of its canonical line bundle with relative lie algebra cohomology of the drinfeld lie algebra associated to gh we also construct a poisson groupoid over gh which is symplectic near the identity section this note serves as preparation for forthcoming papers in which we will compute explicitly the poisson cohomology and study their symplectic groupoids for certain examples of poisson homogeneous spaces related to semisimple lie groups
|
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|
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|
706.1338
|
Supersymmetric Hamiltonian Approach to Edge Excitations in $\nu = 5/2$
Fractional Quantum Hall Effect
|
A supersymmetric Hamiltonian is constructed for the edge excitations of the
Moore-Read (Pfaffian) like state, which is a realization of the N=2
supersymmetric CS model. Fermionic generators and their conjugates are
introduced to deal with the fermion pairing, whose condensation form a BCS like
state. After Bogoliubov transformation, a N=2 supersymmetric and
nonrelativistic Hamiltonian is found to take a known form, which is integrable.
The main difference between the Moore-Read state and our BCS like state is that
the number of fermion pairs in our formalism is not fixed. However, we have
also found that the excited states in our model looks similar but not exactly
the same as Moore and Read's.
|
hep-th cond-mat.mes-hall
|
a supersymmetric hamiltonian is constructed for the edge excitations of the mooreread pfaffian like state which is a realization of the n2 supersymmetric cs model fermionic generators and their conjugates are introduced to deal with the fermion pairing whose condensation form a bcs like state after bogoliubov transformation a n2 supersymmetric and nonrelativistic hamiltonian is found to take a known form which is integrable the main difference between the mooreread state and our bcs like state is that the number of fermion pairs in our formalism is not fixed however we have also found that the excited states in our model looks similar but not exactly the same as moore and reads
|
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|
[-0.11344086237243443, 0.22675093465451418, -0.09428649430628866, 0.10812781666131091, -0.04461829559087554, -0.19376335663504765, 0.014021451922807111, 0.28818915606409845, -0.18379797089645372, -0.2726804301367208, 0.03264120626928551, -0.30920809070604655, -0.12811596305774792, 0.09790107604931109, 0.006740605177973131, 0.0509083987230302, 0.022916962251266732, 0.11102975004385891, -0.1161716985142058, -0.24574346272441158, 0.3135756568933305, -0.02633570203657395, 0.26873878830312087, 0.012861559963701958, 0.04135851875928763, -0.0028011534970054136, 0.09028109271145825, -0.04668027592872802, -0.0593085521381259, 0.06723676190085826, 0.2498085163866303, 0.04637307873261826, 0.16344199289700814, -0.3989077790673556, -0.19558806402242876, 0.10400892358094486, 0.1668819412214881, 0.16847913055140193, -0.023770122198454504, -0.31375603032730787, 0.03044725748726965, -0.20567915804817208, -0.13627415812308236, -0.0849488868012226, 0.015806229843292385, -0.06674632137063392, -0.23981123425203674, 0.06523649071443417, 0.0714328845414067, -0.014318558181652665, -0.04353970905348043, -0.14399387688484108, -0.11095277830567543, 0.06472081010412824, 0.02356596892475084, 0.058929489854823, 0.08027226627122477, -0.18391888335983303, -0.11007037922640198, 0.4066146291775762, -0.04957350906001271, -0.22303085195432817, 0.18173241603030224, -0.09957016137403636, -0.1298231701907103, 0.11070122556286931, 0.027408770422750552, 0.10001766689362869, -0.11769988921670509, 0.1407526915739124, -0.11386340106504836, 0.14759946621156164, 0.031361564426333643, 0.06366805185098201, 0.20545291554714953, 0.10502995862459232, 0.04184713094894375, 0.15474185599928855, -0.03849813564115071, -0.18015051593621528, -0.33753162370495765, -0.19550931449940176, -0.23542282705394818, 0.06608542204178645, 0.02144535766949827, -0.1955526504399521, 0.4100965471297968, 0.11344954516971484, 0.2000775860381379, 0.049876169187232984, 0.20969669669076602, 0.1571314912019131, 0.07969192090968136, 0.0705255962613072, 0.2144578776392986, 0.1383882884401828, 0.04543551873315924, -0.2658542181104297, -0.041668193449108264, 0.12286012710371454]
|
706.1339
|
Verification theorem and construction of $\epsilon$-optimal controls for
control of abstract evolution equations
|
We study several aspects of the dynamic programming approach to optimal
control of abstract evolution equations, including a class of semilinear
partial differential equations. We introduce and prove a verification theorem
which provides a sufficient condition for optimality. Moreover we prove sub-
and superoptimality principles of dynamic programming and give an explicit
construction of $\epsilon$-optimal controls.
|
math.OC
|
we study several aspects of the dynamic programming approach to optimal control of abstract evolution equations including a class of semilinear partial differential equations we introduce and prove a verification theorem which provides a sufficient condition for optimality moreover we prove sub and superoptimality principles of dynamic programming and give an explicit construction of epsilonoptimal controls
|
[['we', 'study', 'several', 'aspects', 'of', 'the', 'dynamic', 'programming', 'approach', 'to', 'optimal', 'control', 'of', 'abstract', 'evolution', 'equations', 'including', 'a', 'class', 'of', 'semilinear', 'partial', 'differential', 'equations', 'we', 'introduce', 'and', 'prove', 'a', 'verification', 'theorem', 'which', 'provides', 'a', 'sufficient', 'condition', 'for', 'optimality', 'moreover', 'we', 'prove', 'sub', 'and', 'superoptimality', 'principles', 'of', 'dynamic', 'programming', 'and', 'give', 'an', 'explicit', 'construction', 'of', 'epsilonoptimal', 'controls']]
|
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|
706.134
|
Cluster abundances and S-Z power spectra: effects of non-Gaussianity and
early dark energy
|
In the standard Lambda CDM cosmological model with a Gaussian primordial
density fluctuation field, the relatively low value of the mass variance
parameter (sigma_8=0.74{+0.05}{-0.06}, obtained from the WMAP 3-year data)
results in a reduced likelihood that the measured level of CMB anisotropy on
the scales of clusters is due to the Sunyaev-Zeldovich (S-Z) effect. To assess
the feasibility of producing higher levels of S-Z power, we explore two
alternative models which predict higher cluster abundance. In the first model
the primordial density field has a chi^2_1 distribution, whereas in the second
an early dark energy component gives rise to the desired higher cluster
abundance. We carry out the necessary detailed calculations of the levels of
S-Z power spectra, cluster number counts, and angular 2-point correlation
function of clusters, and compare (in a self-consistent way) their predicted
redshift distributions. Our results provide a sufficient basis upon which the
viability of the three models may be tested by future high quality
measurements.
|
astro-ph
|
in the standard lambda cdm cosmological model with a gaussian primordial density fluctuation field the relatively low value of the mass variance parameter sigma_8074005006 obtained from the wmap 3year data results in a reduced likelihood that the measured level of cmb anisotropy on the scales of clusters is due to the sunyaevzeldovich sz effect to assess the feasibility of producing higher levels of sz power we explore two alternative models which predict higher cluster abundance in the first model the primordial density field has a chi2_1 distribution whereas in the second an early dark energy component gives rise to the desired higher cluster abundance we carry out the necessary detailed calculations of the levels of sz power spectra cluster number counts and angular 2point correlation function of clusters and compare in a selfconsistent way their predicted redshift distributions our results provide a sufficient basis upon which the viability of the three models may be tested by future high quality measurements
|
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|
[-0.09604855603977756, 0.09971456913178298, -0.1235026642973037, 0.11739451396967278, -0.05680548469389572, -0.04083587205822363, 0.026938473141705326, 0.31823936940621844, -0.19904658583771884, -0.3573990672059451, 0.029099225707252586, -0.2768045060172583, -0.02527164461958052, 0.1817842873601161, 0.042750631002182106, 0.025939058334531508, 0.03120495448088121, 0.009133874706860995, -0.04529945966236677, -0.28173212758294724, 0.29561175633977466, 0.18943313575999918, 0.293966851601342, -0.0029744525592328994, 0.06486002564116868, -0.07366592032622923, -0.09583940660235407, 0.042089354738874256, -0.1526120159637828, 0.08356199201610841, 0.1853772787860563, 0.12794784660913847, 0.23218623144440823, -0.38565506338604594, -0.22561143704619752, 0.12524486304430654, 0.12599933826885884, 0.10831674768109133, -0.05726517014770693, -0.25125763151478375, 0.08007214033394852, -0.2055907974088471, -0.12706619736580355, -0.051699802273614974, -0.03246760253981927, 0.018811301527392563, -0.2603928455409342, 0.19030692990658418, -0.0188684508280606, 0.02679802009753653, -0.09825278786098901, -0.16963873827118287, -0.07587329265017226, 0.07933823431625306, 0.022067885425632948, 0.02397246655671998, 0.15045949411959206, -0.16888958961796602, -0.06627347145585413, 0.38580387739359207, -0.12020132434115095, -0.11518059679125466, 0.14251165046450337, -0.20258486943624024, -0.18241267327992422, 0.09265555353518927, 0.16292850762706707, 0.04039189480127966, -0.14068862737841764, 0.06787157351676076, 0.03196414578457088, 0.23047837409346053, 0.04761539341050124, 0.009664981852398318, 0.2959757712376802, 0.10969196034100422, 0.06917297181749493, 0.12575276760214577, -0.17126063448259807, -0.01981636569849889, -0.2665033816709915, -0.09836687621478953, -0.17614859711589678, 0.04347888299750176, -0.15475201811740297, -0.15038732072022162, 0.3995940858240491, 0.17680069413138613, 0.24991336898034755, 0.0882208052826401, 0.33572068916188563, 0.13923856897284012, 0.05747366832633673, -0.010864016244117662, 0.2613241323855641, 0.1875529146223159, 0.06104845939930411, -0.23630840693612923, 0.03781541094547079, -0.025196135719160333]
|
706.1341
|
A Study in Depth of f0(1370)
|
Claims have been made that f0(1370) does not exist. The five primary sets of
data requiring its existence are refitted. Major dispersive effects due to the
opening of the 4pi threshold are included for the first time; the sigma -> 4pi
amplitude plays a strong role. Crystal Barrel data on pbar-p -> 3pizero at rest
require f0(1370) signals of at least 32 and 33 standard deviations in 1S0 and
3P1 annihilation respectively. Furthermore, they agree within 5 MeV for mass
and width. Data on pbar-p -> eta-eta-pizero agree and require at least a 19
standard deviation contribution. This alone is sufficient to demonstrate the
existence of f0(1370). BES II data for J/Psi -> phi-pi-pi contain a visible
f0(1370) signal > 8 standard devations. In all cases, a resonant phase
variation is required. The possibility of a second pole in the sigma amplitude
due to the opening of the 4pi channel is excluded. Cern-Munich data for pi-pi
elastic scattering are fitted well with the inclusion of some mixing between
sigma, f0(1370) and f0(1500). The pi-pi widths for f2(1565), rho3(1690),
rho3(1990) and f4(2040) are determined.
|
hep-ex
|
claims have been made that f01370 does not exist the five primary sets of data requiring its existence are refitted major dispersive effects due to the opening of the 4pi threshold are included for the first time the sigma 4pi amplitude plays a strong role crystal barrel data on pbarp 3pizero at rest require f01370 signals of at least 32 and 33 standard deviations in 1s0 and 3p1 annihilation respectively furthermore they agree within 5 mev for mass and width data on pbarp etaetapizero agree and require at least a 19 standard deviation contribution this alone is sufficient to demonstrate the existence of f01370 bes ii data for jpsi phipipi contain a visible f01370 signal 8 standard devations in all cases a resonant phase variation is required the possibility of a second pole in the sigma amplitude due to the opening of the 4pi channel is excluded cernmunich data for pipi elastic scattering are fitted well with the inclusion of some mixing between sigma f01370 and f01500 the pipi widths for f21565 rho31690 rho31990 and f42040 are determined
|
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|
[-0.12891002837969953, 0.16542420324055884, -0.041910015972566675, 0.10804336805608467, -0.05774351139502712, -0.12586774827709057, 0.05171635142399062, 0.33970050489658427, -0.1739323998710419, -0.295365835944105, 0.06125576023933017, -0.35936316919523753, 0.004582241811821687, 0.17392803107163515, 0.05871624586937799, 0.0699302891517545, 0.09017838850542474, 0.03382741375130483, -0.03858297690013209, -0.16145692810539328, 0.270443737726316, 0.009327756107153222, 0.22030929767061025, 0.12036205542905407, 0.024445218094303434, 0.016858851740500707, -0.04286108122223282, -0.07125030321546139, -0.135934195646037, 0.027129405659848248, 0.23181435052069954, 0.07085809188001072, 0.1514718015253378, -0.3473381166956548, -0.10640956081407166, 0.1380777834518545, 0.1367680150849093, 0.07347206119983189, -0.006834561118973826, -0.2820503956681096, 0.1355553612637537, -0.11182743407941113, -0.13029114608706413, -0.027323095815727252, 0.027434344619550025, -0.04742889726084882, -0.3007852589241871, 0.1470437691665399, 0.00029354278418374646, 0.06775118988114355, -0.03981165043225555, -0.22018870068767546, -0.05012536132387046, 0.06271984892758145, 0.06218104939319022, 0.06910765084341683, 0.11693078975846198, -0.10270813590413409, -0.1110795740594809, 0.379871043444199, -0.06876707003162853, -0.14747995838316175, 0.13755963901465962, -0.171186445648889, -0.12074420352509224, 0.24784204256774364, 0.14390348057475358, 0.0072365674516721365, -0.15703274921952992, 0.09157238829541074, -0.01748969000677214, 0.2322160883073363, 0.13731016170891835, 0.07451218068225031, 0.17926522366429581, 0.16934284404851496, -0.018652375612873584, 0.03274396686525694, -0.15593708799777276, -0.03981852263544054, -0.38797915108794956, -0.0775966383998507, -0.08044836974245143, 0.03380441685127236, -0.018605630351906245, -0.1057225599612013, 0.32055456425470097, 0.04007990469610126, 0.23894523059408684, 0.03170403913359276, 0.24919920149205746, 0.083436720334154, 0.0925933337615182, 0.06867189339800985, 0.35327516601975584, 0.15809874255852452, 0.12551011756897487, -0.23423296698197138, 0.04319003716060335, -0.0502469473329089]
|
706.1342
|
Low-temperature electron dephasing time in AuPd revisited
|
Ever since the first discoveries of the quantum-interference transport in
mesoscopic systems, the electron dephasing times, $\tau_\phi$, in the
concentrated AuPd alloys have been extensively measured. The samples were made
from different sources with different compositions, prepared by different
deposition methods, and various geometries (1D narrow wires, 2D thin films, and
3D thickfilms) were studied. Surprisingly, the low-temperature behavior of
$\tau_\phi$ inferred by different groups over two decades reveals a systematic
correlation with the level of disorder of the sample. At low temperatures,
where $\tau_\phi$ is (nearly) independent of temperature, a scaling
$\tau_\phi^{\rm max} \propto D^{-\alpha}$ is found, where $tau_\phi^{\rm max}$
is the maximum value of $\tau_\phi$ measured in the experiment, $D$ is the
electron diffusion constant, and the exponent $\alpha$ is close to or slightly
larger than 1. We address this nontrivial scaling behavior and suggest that the
most possible origin for this unusual dephasing is due to dynamical structure
defects, while other theoretical explanations may not be totally ruled out.
|
cond-mat.mes-hall cond-mat.dis-nn
|
ever since the first discoveries of the quantuminterference transport in mesoscopic systems the electron dephasing times tau_phi in the concentrated aupd alloys have been extensively measured the samples were made from different sources with different compositions prepared by different deposition methods and various geometries 1d narrow wires 2d thin films and 3d thickfilms were studied surprisingly the lowtemperature behavior of tau_phi inferred by different groups over two decades reveals a systematic correlation with the level of disorder of the sample at low temperatures where tau_phi is nearly independent of temperature a scaling tau_phirm max propto dalpha is found where tau_phirm max is the maximum value of tau_phi measured in the experiment d is the electron diffusion constant and the exponent alpha is close to or slightly larger than 1 we address this nontrivial scaling behavior and suggest that the most possible origin for this unusual dephasing is due to dynamical structure defects while other theoretical explanations may not be totally ruled out
|
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|
[-0.11221767778915819, 0.21949388787616045, -0.06095125029969495, 0.0376623510645004, 0.01302882738491462, -0.18675636455081984, 0.02245876572560519, 0.38144483740907165, -0.24000444435878307, -0.310036566411145, 0.0540897875551309, -0.334632760938257, -0.07056904862329247, 0.21402402693493058, 0.016634543662075885, 0.054800545369653265, -0.03138866049994249, -0.035752612156284155, -0.1106218899385567, -0.23402605043520452, 0.27916559781006073, 0.059374463686253875, 0.3074747549311724, 0.05059503623633645, 0.03304448597045848, -0.06086207487242064, 0.024031517685216386, 0.05556312897242606, -0.17743590410414073, 0.006860583779052831, 0.2352165728341788, -0.033152737290629376, 0.20614186039674678, -0.41389018121967636, -0.23520939185254974, 0.0656036003500958, 0.1541421475885727, 0.08551534334692405, -0.01911212495469954, -0.21633569466939662, 0.06896540329726122, -0.10582671568990917, -0.1003763219108805, -0.013265201251488178, 0.08748749859223608, -0.004160899855560274, -0.21457112833086284, 0.12862164721009323, 0.03478043465347582, 0.10386724642994523, -0.059691913753340486, -0.17097890964505497, -0.014833002899831627, 0.08944165524374056, 0.07480804301740136, 0.024178380041303172, 0.15668198222701904, -0.09860811673023591, -0.08034767391836795, 0.3632005505322013, -0.024585891360493405, -0.08889788574888371, 0.20016730076895328, -0.23966841499750444, -0.10362892284756527, 0.16552105351292995, 0.08841584016918205, 0.1248002407810418, -0.17167841158261582, 0.0529323873024623, -0.0044687593966955316, 0.1892901520448504, 0.0716312576449127, 0.04295200988999568, 0.20676524464615795, 0.18181104387476807, 0.012772508447233122, 0.11642662194026343, -0.11391618792113149, -0.06266800576595415, -0.19674095928203314, -0.12026861200283748, -0.20196290669264272, 0.11553843247975237, -0.09355461894847394, -0.12896474052504345, 0.363424135556852, 0.12675751960232445, 0.22011597968812566, 0.008088609577680473, 0.22639343923001434, 0.1207950447802432, 0.07700534240866545, 0.05471155557606835, 0.2562884507191484, 0.12194041836773976, 0.09215154924249873, -0.23153888080560137, 0.12756544484873303, -0.03692462508333847]
|
706.1343
|
Interacting like charges in Landau levels: Planar geometry, symmetries,
and effective quasiparticles
|
We consider a system of two interacting particles with like but unequal
charges in a magnetic field in the planar geometry. We construct a complete
basis of states compatible with both the axial symmetry and magnetic
translations. The basis is obtained using a canonical transformation that
generates effective quasiparticles with modified interactions. We establish a
connection of this transformation with the SU(2) algebra and make use of the
SU(2) Baker-Campbell-Hausdorff formulas for evaluating the interaction matrix
elements. We calculate analytically the eigenenergies of the problem (Haldane
pseudopotentials) in the first few Landau levels for a relatively wide class of
interaction potentials.
|
cond-mat.mes-hall
|
we consider a system of two interacting particles with like but unequal charges in a magnetic field in the planar geometry we construct a complete basis of states compatible with both the axial symmetry and magnetic translations the basis is obtained using a canonical transformation that generates effective quasiparticles with modified interactions we establish a connection of this transformation with the su2 algebra and make use of the su2 bakercampbellhausdorff formulas for evaluating the interaction matrix elements we calculate analytically the eigenenergies of the problem haldane pseudopotentials in the first few landau levels for a relatively wide class of interaction potentials
|
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|
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|
706.1344
|
A Class of Partially Solvable Two-Dimensional Quantum Models with
Periodic Potentials
|
The supersymmetrical approach is used to analyse a class of two-dimensional
quantum systems with periodic potentials. In particular, the method of
SUSY-separation of variables allowed us to find a part of the energy spectra
and the corresponding wave functions (partial solvability) for several models.
These models are not amenable to conventional separation of variables, and they
can be considered as two-dimensional generalizations of Lame, associated Lame,
and trigonometric Razavy potentials. All these models have the symmetry
operators of fourth order in momenta, and one of them (the Lame potential)
obeys the property of self-isospectrality.
|
hep-th cond-mat.mes-hall math-ph math.MP quant-ph
|
the supersymmetrical approach is used to analyse a class of twodimensional quantum systems with periodic potentials in particular the method of susyseparation of variables allowed us to find a part of the energy spectra and the corresponding wave functions partial solvability for several models these models are not amenable to conventional separation of variables and they can be considered as twodimensional generalizations of lame associated lame and trigonometric razavy potentials all these models have the symmetry operators of fourth order in momenta and one of them the lame potential obeys the property of selfisospectrality
|
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|
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|
706.1345
|
Spectroscopy and multiband photometry of the afterglow of intermediate
duration gamma-ray burst 040924 and its host galaxy
|
We present optical photometry and spectroscopy of the afterglow and host
galaxy of gamma-ray burst 040924. This GRB had a rather short duration of T90
~2.4s, and a well sampled optical afterglow light curve. We aim to use this
dataset to find further evidence that this burst is consistent with a massive
star core-collapse progenitor. We combine the afterglow data reported here with
data taken from the literature and compare the host properties with survey
data. We find that the global behaviour of the optical afterglow is well fit by
a broken power-law, with a break at ~0.03 days. We determine the redshift z =
0.858 +/- 0.001 from the detected emission lines in our spectrum. Using the
spectrum and photometry we derive global properties of the host, showing it to
have similar properties to long GRB hosts. We detect the [Ne III] emission line
in the spectrum, and compare the fluxes of this line of a sample of 15 long GRB
host galaxies with survey data, showing the long GRB hosts to be comparable to
local metal-poor emission line galaxies in their [Ne III] emission. We fit the
supernova bump accompanying this burst, and find that it is similar to other
long GRB supernova bumps, but fainter. All properties of GRB 040924 are
consistent with an origin in the core-collapse of a massive star: the
supernova, the spectrum and SED of the host and the afterglow.
|
astro-ph
|
we present optical photometry and spectroscopy of the afterglow and host galaxy of gammaray burst 040924 this grb had a rather short duration of t90 24s and a well sampled optical afterglow light curve we aim to use this dataset to find further evidence that this burst is consistent with a massive star corecollapse progenitor we combine the afterglow data reported here with data taken from the literature and compare the host properties with survey data we find that the global behaviour of the optical afterglow is well fit by a broken powerlaw with a break at 003 days we determine the redshift z 0858 0001 from the detected emission lines in our spectrum using the spectrum and photometry we derive global properties of the host showing it to have similar properties to long grb hosts we detect the ne iii emission line in the spectrum and compare the fluxes of this line of a sample of 15 long grb host galaxies with survey data showing the long grb hosts to be comparable to local metalpoor emission line galaxies in their ne iii emission we fit the supernova bump accompanying this burst and find that it is similar to other long grb supernova bumps but fainter all properties of grb 040924 are consistent with an origin in the corecollapse of a massive star the supernova the spectrum and sed of the host and the afterglow
|
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|
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|
706.1346
|
Southern wide very low-mass stars and brown dwarfs in resolved binary
and multiple systems
|
The results of the Koenigstuhl survey in the Southern Hemisphere are
presented. I have searched for common-proper motion companions to 173 field
very low-mass stars and brown dwarfs with spectral types > M5.0V and magnitudes
J <= 14.5 mag. I have measured for the first time the common-proper motion of
two new wide systems containing very low-mass components, Koenigstuhl 2 AB and
3 A-BC. Together with Koenigstuhl 1 AB and 2M0126-50AB, they are among the
widest systems in their respective classes (r = 450-11900 AU). Koenigstuhl 3
A-BC contains a well-known F8V star and a M8.0+L3.0V tight binary. I have
determined the minimum frequency of field wide multiples (r > 100 AU) with
late-type components at 5.0+/-1.8 % and the frequency of field wide late-type
binaries with mass ratios q > 0.5 at 1.2+/-0.9 %. These values represent a key
diagnostic of evolution history and low-mass star and brown-dwarf formation
scenarios. Additionally, the proper motions of 76 field very low-mass dwarfs
are measured here for the first time.
|
astro-ph
|
the results of the koenigstuhl survey in the southern hemisphere are presented i have searched for commonproper motion companions to 173 field very lowmass stars and brown dwarfs with spectral types m50v and magnitudes j 145 mag i have measured for the first time the commonproper motion of two new wide systems containing very lowmass components koenigstuhl 2 ab and 3 abc together with koenigstuhl 1 ab and 2m012650ab they are among the widest systems in their respective classes r 45011900 au koenigstuhl 3 abc contains a wellknown f8v star and a m80l30v tight binary i have determined the minimum frequency of field wide multiples r 100 au with latetype components at 5018 and the frequency of field wide latetype binaries with mass ratios q 05 at 1209 these values represent a key diagnostic of evolution history and lowmass star and browndwarf formation scenarios additionally the proper motions of 76 field very lowmass dwarfs are measured here for the first time
|
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|
[-0.12493654417722852, 0.13624166350780775, -0.026538359673245797, 0.04949777038426056, -0.07533165850069468, -0.11389631870249876, 0.042324907267230406, 0.40066495469824376, -0.15099105896734738, -0.3907804889250783, 0.05626383624879549, -0.28149743921630366, -0.019395476230714893, 0.19923941607740295, -0.02646608200643353, -0.03235206695314411, 0.1096351200750074, -0.039889137676174316, -0.031280783362409595, -0.25963962557313, 0.2759347220977085, -0.023714261707154256, 0.06503052192189748, -0.06101932633031584, 0.04360347213901438, -0.052746587477129285, -0.0626171404360263, -0.02971878446214184, -0.21316083553116372, 0.009427207569249823, 0.2674785337021834, 0.10223595484431032, 0.2220224866855748, -0.27148557614031854, -0.11528809825872083, 0.05229944942071091, 0.14544891044379601, -0.02510055045514733, -0.05125013716324362, -0.2527683187413171, 0.147054193718241, -0.17618160490742354, -0.121651457156986, 0.035655224271401574, 0.15480894672896572, 0.09016595416572652, -0.24442650892925036, 0.10256894830911997, 0.05899178534687226, 0.15611953439804005, -0.12709962383031997, -0.23235113590018516, -0.02589999591118267, 0.08346776471361282, -0.026191790856397414, 0.0915820073893388, 0.10916800725662822, -0.11421888202257142, -0.053333241763654386, 0.3890822844556238, -0.0870059198269597, -0.023690497765540074, 0.278518785027009, -0.21581176062456414, -0.16996717880645035, 0.137853934235806, 0.13414611452542058, 0.17287348999783303, -0.18074202419500326, 0.01612405288121604, 0.044417745713181384, 0.17547526782013098, 0.078284395602237, 0.07357288803021082, 0.34087806705479756, 0.10603315720302967, -0.005686963677846184, 0.015085445671295158, -0.27154456793413134, -0.04289680701397548, -0.20218881141597736, -0.12249981391809503, -0.12249086004434319, 0.04655846285993304, -0.1445876734848488, -0.11039666089677264, 0.35648732173810654, 0.07844569500759715, 0.19988991058567138, 0.05384805298386778, 0.226469867479622, 0.07317241343604755, 0.11667795611259563, 0.11568400010914553, 0.2990909566206834, 0.20206653625598248, 0.10477863094486485, -0.17535345284032483, -0.013255108771197309, -0.03291471769054762]
|
706.1347
|
The Two-State Vector Formalism
|
The two-state vector formalism (TSVF), the time-symmetric description of the
standard quantum mechanics originated by Aharonov, Bergmann and Lebowitz is
reviewed. The TSVF describes a quantum system at a particular time by two
quantum states: the usual one, evolving forward in time, defined by the results
of a complete measurement at the earlier time, and by the quantum state
evolving backward in time, defined by the results of a complete measurement at
a later time.
|
quant-ph
|
the twostate vector formalism tsvf the timesymmetric description of the standard quantum mechanics originated by aharonov bergmann and lebowitz is reviewed the tsvf describes a quantum system at a particular time by two quantum states the usual one evolving forward in time defined by the results of a complete measurement at the earlier time and by the quantum state evolving backward in time defined by the results of a complete measurement at a later time
|
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|
[-0.13012417171150445, 0.21603723692397275, -0.12738236819083493, 0.045905707511119546, 0.02580189565817515, -0.1503308530834814, 0.04306890801837047, 0.2521462833881378, -0.23131328789517283, -0.26383082032824556, 0.042486306463057795, -0.2405848994354407, -0.08598034419119358, 0.18209326927860578, -0.017631075357397396, 0.0905809985101223, 0.06579493265599012, 0.057351437568043666, -0.07286065151294073, -0.21364400457590818, 0.31105194583535195, 0.07711548320328196, 0.2502036945832272, -0.0010449457603196302, 0.1282018555700779, 0.09312631948230167, -0.07055371870597203, 0.02616466333468755, -0.12188319346557061, 0.05084410072226698, 0.22877450625101725, 0.10210602628688017, 0.29149980017915367, -0.4494189082831144, -0.2161573610516886, 0.02217261535425981, 0.04746508965889613, 0.15502809807347753, -0.025469516447434823, -0.3775423768659433, 0.017231680241723855, -0.1278978020697832, -0.14812609345341723, -1.7288774251937866e-05, 0.04076741128539046, -0.06212472543120384, -0.1517866256988297, 0.09985568468769392, 0.11370816329494118, 0.02358186977605025, -0.016213345130284627, -0.02153014954645187, 0.012875298094004393, 0.05759859242166082, -0.05590924388729036, 0.07334348435203235, 0.09174094187716643, -0.07928614359349012, -0.2280329006165266, 0.34517588576922814, -0.10980282167283197, -0.17776189401745796, 0.1266246296465397, -0.1317594074519972, -0.09183132746567328, 0.08406574777017037, 0.0791346159329017, 0.11158770898977916, -0.16968134543548027, 0.12941954682115464, -0.00888498722265164, 0.0849693330625693, 0.04532293230295181, 0.00865591964373986, 0.17732253635923068, 0.12191359146808585, -0.02959956863274177, 0.09512406090274453, -0.00880696455637614, -0.22188030583163101, -0.35080047195156416, -0.19955061410209357, -0.21735014155507087, 0.10869054393221934, -0.0462535566832715, -0.09230428293347359, 0.44043476566672324, 0.07093550809969505, 0.21523253424093128, 0.04730061315620939, 0.29538957272966704, 0.17565979075928528, 0.00799394831682245, 0.055393118603775895, 0.238769627759854, 0.16156002898079655, 0.18226866823931534, -0.22553259440387288, 0.0644508941968282, 0.10503707160552343]
|
706.1348
|
Weak Value and Weak Measurements
|
The weak value of a variable O is a description of an effective interaction
with that variable in the limit of weak coupling. It is particularly important
for a pre- and post-selected quantum system.
|
quant-ph
|
the weak value of a variable o is a description of an effective interaction with that variable in the limit of weak coupling it is particularly important for a pre and postselected quantum system
|
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|
[-0.17351990417741678, 0.1489316644596436, -0.08739263446563307, 0.06356728885678903, -0.007899383466471644, -0.18094543341602035, 0.07427323414423667, 0.3308717522989301, -0.22518576031057713, -0.2754276844618075, 0.07710766813868437, -0.2206464069758487, -0.09175409672453123, 0.20045206871102839, 0.0021191124448224027, 0.018514015355750042, 0.08988799045191091, 0.07928812346996411, -0.034616948454640806, -0.1827008389210438, 0.3475650058073156, 0.06912075492265798, 0.24802759728010962, 0.026749433086746755, 0.10524563187295023, 0.06453570796806804, 0.05489815281265799, 0.07390217510435511, -0.028616255732391866, 0.11284755389480029, 0.21927624631515594, 0.06868602412150186, 0.3127325476859422, -0.2988309215562528, -0.16770298080518842, 0.052431342548088115, 0.07525967598399695, 0.1436860528500641, -0.03177882898051072, -0.28648946428781047, 0.027747469803537515, -0.14488024974707514, -0.11033193947856917, -0.05602032398147618, 0.14211450769182513, 0.014535688904716688, -0.3709594149224679, 0.06474490876922466, 0.10284585905644823, 0.03150954830241116, -0.03353621150531313, -0.008969034078558358, 0.02269453653956161, 0.13302015747381923, -0.001061686930958839, 0.06933183256564114, 0.087352001135621, -0.2348054155214306, -0.024701793691800797, 0.3830698275209322, -0.14767034570275642, -0.1569293124929947, 0.2102227517787148, -0.08377294697086601, -0.12757486559669762, 0.09455347521340146, 0.10235451271428782, 0.15804005896343903, -0.14743107524426544, 0.13339003254762194, -0.030510628623340058, 0.19939792443833806, -0.02220113989075317, 0.10176826247890644, 0.20321651293403087, 0.1674338137073552, 0.06335375896271538, 0.1006346108556232, -0.07239583174369353, -0.1126889985821703, -0.36769864949233394, -0.23321760764263352, -0.17781339162577162, 0.11741399717078928, -0.1365124177566887, -0.21943106090047343, 0.33257779983036656, 0.15170347293400588, 0.2181350759449689, -0.04255156495663173, 0.24276512083323562, 0.19909670805175075, 0.007787569371216437, 0.001199628007324303, 0.336672734523959, 0.20926092077484904, 0.0969531381612315, -0.24274018617785154, 0.09457879372434143, 0.040959515978636986]
|
706.1349
|
Improved quark mass density- dependent model with quark-sigma meson and
quark-omega meson couplings
|
An improved quark mass density- dependent model with the non-linear scalar
sigma field and the $\omega$-meson field is presented. We show that the present
model can describe saturation properties, the equation of state, the
compressibility and the effective nuclear mass of nuclear matter under mean
field approximation successfully. The comparison of the present model and the
quark-meson coupling model is addressed.
|
nucl-th
|
an improved quark mass density dependent model with the nonlinear scalar sigma field and the omegameson field is presented we show that the present model can describe saturation properties the equation of state the compressibility and the effective nuclear mass of nuclear matter under mean field approximation successfully the comparison of the present model and the quarkmeson coupling model is addressed
|
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|
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|
706.135
|
The Anisotropic Distribution of Satellite Galaxies
|
We identify satellites of isolated galaxies in SDSS and examine their angular
distribution. Using mock catalogues generated from cosmological N-body
simulations, we demonstrate that the selection criteria used to select isolated
galaxies and their satellites must be very strict in order to correctly
identify systems in which the primary galaxy dominates its environment. The
criteria used in many previous studies instead select predominantly group
members. We refine a set of selection criteria for which the group
contamination is estimated to be less than 7% and present a catalogue of the
resulting sample. The angular distribution of satellites about their host is
biased towards the major axes for spheroidal galaxies and probably also for red
disc galaxies, but is isotropic for blue disc galaxies, i.e. it is the colour
of the host that determines the distribution of its satellites rather than its
morphology. The similar anisotropy measured in this study as in studies that
were dominated by groups implies that group-specific processes are not
responsible for the angular distribution. Satellites that are most likely to
have been recently accreted show a tendancy to lie along the same axis as the
surrounding large scale structure. The orientations of isolated early and
intermediate-type galaxies also align with the surrounding large scale
structures. We discuss the origin of the anisotropic satellite distribution and
consider the implications of our results, critically assessing the respective
roles played by the orientation of the visible galaxy within its dark matter
halo; anisotropic accretion of satellites from the larger scale environment;
and the biased nature of satellites as tracers of the underlying dark matter
subhalo population. (Abridged)
|
astro-ph
|
we identify satellites of isolated galaxies in sdss and examine their angular distribution using mock catalogues generated from cosmological nbody simulations we demonstrate that the selection criteria used to select isolated galaxies and their satellites must be very strict in order to correctly identify systems in which the primary galaxy dominates its environment the criteria used in many previous studies instead select predominantly group members we refine a set of selection criteria for which the group contamination is estimated to be less than 7 and present a catalogue of the resulting sample the angular distribution of satellites about their host is biased towards the major axes for spheroidal galaxies and probably also for red disc galaxies but is isotropic for blue disc galaxies ie it is the colour of the host that determines the distribution of its satellites rather than its morphology the similar anisotropy measured in this study as in studies that were dominated by groups implies that groupspecific processes are not responsible for the angular distribution satellites that are most likely to have been recently accreted show a tendancy to lie along the same axis as the surrounding large scale structure the orientations of isolated early and intermediatetype galaxies also align with the surrounding large scale structures we discuss the origin of the anisotropic satellite distribution and consider the implications of our results critically assessing the respective roles played by the orientation of the visible galaxy within its dark matter halo anisotropic accretion of satellites from the larger scale environment and the biased nature of satellites as tracers of the underlying dark matter subhalo population abridged
|
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|
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|
706.1351
|
Scattering of charge carriers by point defects in bilayer graphene
|
Theory of scattering of massive chiral fermions in bilayer graphene by radial
symmetric potential is developed. It is shown that in the case when the
electron wavelength is much larger than the radius of the potential the
scattering cross-section is proportional to the electron wavelength. This leads
to the mobility independent on the electron concentration. In contrast with the
case of single-layer, neutral and charged defects are, in general, equally
relevant for the resistivity of the bilayer graphene.
|
cond-mat.mes-hall cond-mat.mtrl-sci
|
theory of scattering of massive chiral fermions in bilayer graphene by radial symmetric potential is developed it is shown that in the case when the electron wavelength is much larger than the radius of the potential the scattering crosssection is proportional to the electron wavelength this leads to the mobility independent on the electron concentration in contrast with the case of singlelayer neutral and charged defects are in general equally relevant for the resistivity of the bilayer graphene
|
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|
706.1352
|
Hydrodynamic Theory of Granular Solids: Permanent, Transient and
Granular Elasticity
|
Although fully elastic when static, granular media become transiently elastic
when being slowly sheared -- during which both the elastic energy and stress
relax. Starting from this observation, we cogently derive the framework for
granular hydrodynamics, a set of differential equations consistent with general
principles of physics, especially reversible and irreversible thermodynamics.
In addition, an expression for the granular elastic energy is reviewed and
further discussed.
|
cond-mat.soft
|
although fully elastic when static granular media become transiently elastic when being slowly sheared during which both the elastic energy and stress relax starting from this observation we cogently derive the framework for granular hydrodynamics a set of differential equations consistent with general principles of physics especially reversible and irreversible thermodynamics in addition an expression for the granular elastic energy is reviewed and further discussed
|
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|
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|
706.1353
|
New 60-cm Radio Survey Telescope with the Sideband-Separating SIS
Receiver for the 200 GHz Band
|
We have upgraded the 60-cm radio survey telescope located in Nobeyama, Japan.
We developed a new waveguide-type sideband-separating SIS mixer for the
telescope, which enables the simultaneous detection of distinct molecular
emission lines both in the upper and lower sidebands. Over the RF frequency
range of 205-240 GHz, the single-sideband receiver noise temperatures of the
new mixer are 40-100 K for the 4.0-8.0 GHz IF frequency band. The image
rejection ratios are greater than 10 dB over the same range. For the dual IF
signals obtained by the receiver, we have developed two sets of acousto-optical
spectrometers and a telescope control system. Using the new telescope system,
we successfully detected the 12CO (J=2-1) and 13CO (J=2-1) emission lines
simultaneously toward Orion KL in 2005 March. Using the waveguide-type
sideband-separating SIS mixer for the 200 GHz band, we have initiated the first
simultaneous 12CO (J=2-1) and 13CO (J=2-1) survey of the galactic plane as well
as large-scale mapping observations of nearby molecular clouds.
|
astro-ph
|
we have upgraded the 60cm radio survey telescope located in nobeyama japan we developed a new waveguidetype sidebandseparating sis mixer for the telescope which enables the simultaneous detection of distinct molecular emission lines both in the upper and lower sidebands over the rf frequency range of 205240 ghz the singlesideband receiver noise temperatures of the new mixer are 40100 k for the 4080 ghz if frequency band the image rejection ratios are greater than 10 db over the same range for the dual if signals obtained by the receiver we have developed two sets of acoustooptical spectrometers and a telescope control system using the new telescope system we successfully detected the 12co j21 and 13co j21 emission lines simultaneously toward orion kl in 2005 march using the waveguidetype sidebandseparating sis mixer for the 200 ghz band we have initiated the first simultaneous 12co j21 and 13co j21 survey of the galactic plane as well as largescale mapping observations of nearby molecular clouds
|
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|
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|
706.1354
|
From Elasticity to Hypoplasticity: Dynamics of Granular Solids
|
"Granular elasticity," useful for calculating static stress distributions in
granular media, is generalized by including the effects of slowly moving,
deformed grains. The result is a hydrodynamic theory for granular solids that
agrees well with models from soil mechanics.
|
cond-mat.soft
|
granular elasticity useful for calculating static stress distributions in granular media is generalized by including the effects of slowly moving deformed grains the result is a hydrodynamic theory for granular solids that agrees well with models from soil mechanics
|
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|
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|
706.1355
|
Water's Hydrogen Bond Strength
|
Water is necessary both for the evolution of life and its continuance. It
possesses particular properties that cannot be found in other materials and
that are required for life-giving processes. These properties are brought about
by the hydrogen bonded environment particularly evident in liquid water. Each
liquid water molecule is involved in about four hydrogen bonds with strengths
considerably less than covalent bonds but considerably greater than the natural
thermal energy. These hydrogen bonds are roughly tetrahedrally arranged such
that when strongly formed the local clustering expands, decreasing the density.
Such low density structuring naturally occurs at low and supercooled
temperatures and gives rise to many physical and chemical properties that
evidence the particular uniqueness of liquid water. If aqueous hydrogen bonds
were actually somewhat stronger then water would behave similar to a glass,
whereas if they were weaker then water would be a gas and only exist as a
liquid at sub-zero temperatures. The overall conclusion of this investigation
is that water's hydrogen bond strength is poised centrally within a narrow
window of its suitability for life.
|
cond-mat.soft physics.bio-ph
|
water is necessary both for the evolution of life and its continuance it possesses particular properties that cannot be found in other materials and that are required for lifegiving processes these properties are brought about by the hydrogen bonded environment particularly evident in liquid water each liquid water molecule is involved in about four hydrogen bonds with strengths considerably less than covalent bonds but considerably greater than the natural thermal energy these hydrogen bonds are roughly tetrahedrally arranged such that when strongly formed the local clustering expands decreasing the density such low density structuring naturally occurs at low and supercooled temperatures and gives rise to many physical and chemical properties that evidence the particular uniqueness of liquid water if aqueous hydrogen bonds were actually somewhat stronger then water would behave similar to a glass whereas if they were weaker then water would be a gas and only exist as a liquid at subzero temperatures the overall conclusion of this investigation is that waters hydrogen bond strength is poised centrally within a narrow window of its suitability for life
|
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|
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|
706.1356
|
A discriminative method to conduct exploratory analyses in networks
|
This paper, which commented on Newman and Leicht's "Mixture models and
exploratory analysis in networks" (2007, PNAS 104, 9564-9569), has been
withdrawn. The reason for this removal is that we misinterpreted the conceptual
framework that the authors of the original paper use. Specifically, it is
assumed in our paper that the variable theta_ri denotes the *a priori*
probability that there exists an edge from group r to vertex i. The correct
interpretation is that theta_ri denotes the probability that a given edge from
group r connects to vertex i.
We are very grateful to Mark Newman and Elizabeth Leicht not only for
pointing out our misinterpretation, but also for doing it so politely and
gracefully.
|
physics.data-an
|
this paper which commented on newman and leichts mixture models and exploratory analysis in networks 2007 pnas 104 95649569 has been withdrawn the reason for this removal is that we misinterpreted the conceptual framework that the authors of the original paper use specifically it is assumed in our paper that the variable theta_ri denotes the a priori probability that there exists an edge from group r to vertex i the correct interpretation is that theta_ri denotes the probability that a given edge from group r connects to vertex i we are very grateful to mark newman and elizabeth leicht not only for pointing out our misinterpretation but also for doing it so politely and gracefully
|
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|
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|
706.1357
|
Self-consistent massive disks in triaxial dark matter halos
|
Galactic disks in triaxial dark matter halos become deformed by the
elliptical potential in the plane of the disk in such a way as to counteract
the halo ellipticity. We develop a technique to calculate the equilibrium
configuration of such a disk in the combined disk-halo potential, which is
based on the method of Jog (2000) but accounts for the radial variation in both
the halo potential and the disk ellipticity. This crucial ingredient results in
qualitatively different behavior of the disk: the disk circularizes the
potential at small radii, even for a reasonably low disk mass. This effect has
important implications for proposals to reconcile cuspy halo density profiles
with low surface brightness galaxy rotation curves using halo triaxiality. The
disk ellipticities in our models are consistent with observational estimates
based on two-dimensional velocity fields and isophotal axis ratios.
|
astro-ph
|
galactic disks in triaxial dark matter halos become deformed by the elliptical potential in the plane of the disk in such a way as to counteract the halo ellipticity we develop a technique to calculate the equilibrium configuration of such a disk in the combined diskhalo potential which is based on the method of jog 2000 but accounts for the radial variation in both the halo potential and the disk ellipticity this crucial ingredient results in qualitatively different behavior of the disk the disk circularizes the potential at small radii even for a reasonably low disk mass this effect has important implications for proposals to reconcile cuspy halo density profiles with low surface brightness galaxy rotation curves using halo triaxiality the disk ellipticities in our models are consistent with observational estimates based on twodimensional velocity fields and isophotal axis ratios
|
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|
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|
706.1358
|
The effects of the little Higgs models on $t\bar{t} h^0$ production via
$\gamma \gamma$ collision at linear colliders
|
In the frameworks of the littlest Higgs($LH$) model and its extension with
T-parity($LHT$), we studied the associated $t\bar th^0$ production process $e^+
e^- \to \gamma\gamma \to t \bar t h^0$ at the future $e^+e^-$ linear colliders
up to QCD next-to-leading order. We present the regions of $\sqrt{s}-f$
parameter space in which the $LH$ and $LHT$ effects can and cannot be
discovered with the criteria assumed in this paper. The production rates of
process $\gamma\gamma \to t \bar t h^0$ in different photon polarization
collision modes are also discussed. We conclude that one could observe the
effects contributed by the $LH$ or $LHT$ model on the cross section for the
process $e^+ e^- \to \gamma\gamma \to t \bar t h^0$ in a reasonable parameter
space, or might put more stringent constraints on the $LH$/$LHT$ parameters in
the future experiments at linear colliders.
|
hep-ph
|
in the frameworks of the littlest higgslh model and its extension with tparitylht we studied the associated tbar th0 production process e e to gammagamma to t bar t h0 at the future ee linear colliders up to qcd nexttoleading order we present the regions of sqrtsf parameter space in which the lh and lht effects can and cannot be discovered with the criteria assumed in this paper the production rates of process gammagamma to t bar t h0 in different photon polarization collision modes are also discussed we conclude that one could observe the effects contributed by the lh or lht model on the cross section for the process e e to gammagamma to t bar t h0 in a reasonable parameter space or might put more stringent constraints on the lhlht parameters in the future experiments at linear colliders
|
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|
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|
706.1359
|
Evidence for high-temperature topological order in an asymmetric quantum
Hall system
|
Further experiments showed the incorrectness of proposed interpretation.
|
cond-mat.mes-hall cond-mat.stat-mech
|
further experiments showed the incorrectness of proposed interpretation
|
[['further', 'experiments', 'showed', 'the', 'incorrectness', 'of', 'proposed', 'interpretation']]
|
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|
706.136
|
Asymptotic behavior of w in general quintom model
|
For the quintom models with arbitrary potential $V=V(\phi,\sigma)$, the
asymptotic value of equation of state parameter w is obtained by a new method.
In this method, w of stable attractors are calculated by using the ratio (d ln
V)/(d ln a) in asymptotic region. All the known results, have been obtained by
other methods, are reproduced by this method as specific examples.
|
gr-qc astro-ph hep-th
|
for the quintom models with arbitrary potential vvphisigma the asymptotic value of equation of state parameter w is obtained by a new method in this method w of stable attractors are calculated by using the ratio d ln vd ln a in asymptotic region all the known results have been obtained by other methods are reproduced by this method as specific examples
|
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|
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|
706.1361
|
Domain Wall/Cosmology correspondence in (AdS/dS)_6 x S^4 geometries
|
We investigate the ten dimensional origin of six dimensional F_4 variant
supergravity with supersymmetric de Sitter background. We address first the
issue of spontaneous compactification, showing that it consists of a warped
compactification on a four sphere of a variant massive type IIA supergravity.
Moreover we illustrate how the known D4-D8 brane solution, whose near horizon
geometry yields AdS_6 x S^4, is accordingly modified to a system including
Euclidean branes. Finally, we discuss the relation between this latter solution
and the D4-D8 brane system, showing how it represents a generalisation of the
DW/Cosmology correspondence.
|
hep-th
|
we investigate the ten dimensional origin of six dimensional f_4 variant supergravity with supersymmetric de sitter background we address first the issue of spontaneous compactification showing that it consists of a warped compactification on a four sphere of a variant massive type iia supergravity moreover we illustrate how the known d4d8 brane solution whose near horizon geometry yields ads_6 x s4 is accordingly modified to a system including euclidean branes finally we discuss the relation between this latter solution and the d4d8 brane system showing how it represents a generalisation of the dwcosmology correspondence
|
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|
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|
706.1362
|
Particle renormalizations in presence of dissipative environments
|
We study the Aharonov-Bohm oscillations of a charged particle on a ring of
radius R coupled to a dirty metal environment. With Monte-Carlo methods we
evaluate the curvature of these oscillations which has the form 1/M*R^2, where
M* is an effective mass. We find that at low temperatures T the curvature
approaches at large R>l an R independent M*>M, where l is the mean free path in
the metal. This behavior is also consistent with perturbation theory in the
particle - metal coupling parameter. At finite temperature T we identify
dephasing lengths that scale as T^{-1} at R>l and as T^{-1/4} at R<<l.
|
cond-mat.mes-hall
|
we study the aharonovbohm oscillations of a charged particle on a ring of radius r coupled to a dirty metal environment with montecarlo methods we evaluate the curvature of these oscillations which has the form 1mr2 where m is an effective mass we find that at low temperatures t the curvature approaches at large rl an r independent mm where l is the mean free path in the metal this behavior is also consistent with perturbation theory in the particle metal coupling parameter at finite temperature t we identify dephasing lengths that scale as t1 at rl and as t14 at rl
|
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|
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|
706.1363
|
The rational homotopy type of a blow-up in the stable case
|
Suppose that f:V->W is an embedding of closed oriented manifolds whose normal
bundle has the structure of a complex vector bundle. It is well known in both
complex and symplectic geometry that one can then construct a manifold W' which
is the blow-up of W along V. Assume that dim(W)>2.dim(V)+2 and that H^1(f) is
injective. We construct an algebraic model of the rational homotopy type of the
blow-up W' from an algebraic model of the embedding and the Chern classes of
the normal bundle. This implies that if the space W is simply connected then
the rational homotopy type of W' depends only on the rational homotopy class of
f and on the Chern classes of the normal bundle.
|
math.AT math.SG
|
suppose that fvw is an embedding of closed oriented manifolds whose normal bundle has the structure of a complex vector bundle it is well known in both complex and symplectic geometry that one can then construct a manifold w which is the blowup of w along v assume that dimw2dimv2 and that h1f is injective we construct an algebraic model of the rational homotopy type of the blowup w from an algebraic model of the embedding and the chern classes of the normal bundle this implies that if the space w is simply connected then the rational homotopy type of w depends only on the rational homotopy class of f and on the chern classes of the normal bundle
|
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|
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|
706.1364
|
Antiferromagnetism and Superconductivity in a model of Quasi 1D Organic
Conductors
|
I apply a two-step renormalization group method to the study of the
competition between antiferromagnetism (AFM) and superconductivity in an
anisotropic 2D Hubbard model. I show that this simple model captures the
essentials of the ground-state phases of the quasi 1D organic conductors. As
found experimentally, the ground-state phase diagram is mostly AFM. The AFM is
localized in the strong-coupling limit where the electrons are confined in the
chains. It is an SDW in the weak-coupling limit where interchain hopping is
present. There is a tiny region in the weak-coupling regime where transverse
two-particle hopping is dominant over magnetism.
|
cond-mat.str-el cond-mat.supr-con
|
i apply a twostep renormalization group method to the study of the competition between antiferromagnetism afm and superconductivity in an anisotropic 2d hubbard model i show that this simple model captures the essentials of the groundstate phases of the quasi 1d organic conductors as found experimentally the groundstate phase diagram is mostly afm the afm is localized in the strongcoupling limit where the electrons are confined in the chains it is an sdw in the weakcoupling limit where interchain hopping is present there is a tiny region in the weakcoupling regime where transverse twoparticle hopping is dominant over magnetism
|
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|
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|
706.1365
|
Surface-plasmon wave at the planar interface of a metal film and a
structurally chiral medium
|
The solution of a boundary-value problem formulated for a modified
Kretschmann configuration shows that a surface-plasmon wave can be excited at
the planar interface of a sufficiently thin metal film and a nondissipative
structurally chiral medium, provided the exciting plane wave is p-polarized. An
estimate of the wavenumber of the surface-plasmon wave also emerges thereby.
|
physics.optics physics.class-ph
|
the solution of a boundaryvalue problem formulated for a modified kretschmann configuration shows that a surfaceplasmon wave can be excited at the planar interface of a sufficiently thin metal film and a nondissipative structurally chiral medium provided the exciting plane wave is ppolarized an estimate of the wavenumber of the surfaceplasmon wave also emerges thereby
|
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|
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|
706.1366
|
On Zermelo'-like problems: a Gauss-Bonnet inequality and a E. Hopf
theorem
|
The goal of this paper is to describe Zermelo's navigation problem on
Riemannian manifolds as a time-optimal control problem and give an efficient
method in order to evaluate its control curvature. We will show that up to
change the Riemannian metric on the manifold the control curvature of Zermelo's
problem has a simple to handle expression which naturally leads to a
generalization of the classical Gauss-Bonnet formula in an inequality. This
Gauss-Bonnet inequality enables to generalize for Zermelo's problems the E.
Hopf theorem on flatness of Riemannian tori without conjugate points.
|
math.OC math.DG
|
the goal of this paper is to describe zermelos navigation problem on riemannian manifolds as a timeoptimal control problem and give an efficient method in order to evaluate its control curvature we will show that up to change the riemannian metric on the manifold the control curvature of zermelos problem has a simple to handle expression which naturally leads to a generalization of the classical gaussbonnet formula in an inequality this gaussbonnet inequality enables to generalize for zermelos problems the e hopf theorem on flatness of riemannian tori without conjugate points
|
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|
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|
706.1367
|
Anharmonic behavior in Microwave-driven resistivity oscillations in Hall
bars
|
We analyzed the magnetoresistivity of a two-dimensional electron system
excited by microwave radiation in a regime of high intensities and low
frequencies. In such a regime, recent experiments show that different features
appear in the magnetoresistivity response which suggest an anharmonic behavior.
These features consist mainly in distorted oscillations and new resonance peaks
at the subharmonics of the cyclotron frequency. We follow the model of
microwave-driven electron orbits motion which become anharmonic when the ratio
of microwave intensity to microwave frequency is large enough.
|
cond-mat.mes-hall
|
we analyzed the magnetoresistivity of a twodimensional electron system excited by microwave radiation in a regime of high intensities and low frequencies in such a regime recent experiments show that different features appear in the magnetoresistivity response which suggest an anharmonic behavior these features consist mainly in distorted oscillations and new resonance peaks at the subharmonics of the cyclotron frequency we follow the model of microwavedriven electron orbits motion which become anharmonic when the ratio of microwave intensity to microwave frequency is large enough
|
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|
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|
706.1368
|
Optical Characterization of Single Mode Components by new
Medianfield-method
|
In this paper a new method for spotsize-measurement for singlemode optical
components is presented. Based from the classical farfield-method where the
measurements are made circular, the mounting of the used rotary stages and the
long measurement time are great disadvantages. In this paper a new planar
method is described which overcomes these problems. Based on the measurement of
a singlemode fiber in accordance with ITU Recommendation G.652 the efficiency
is demonstrated and discussed.
|
physics.optics
|
in this paper a new method for spotsizemeasurement for singlemode optical components is presented based from the classical farfieldmethod where the measurements are made circular the mounting of the used rotary stages and the long measurement time are great disadvantages in this paper a new planar method is described which overcomes these problems based on the measurement of a singlemode fiber in accordance with itu recommendation g652 the efficiency is demonstrated and discussed
|
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|
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|
706.1369
|
Visible Wavelength Division Multiplex System for use as a Instructional
Lab System for Higher Education
|
The demand for high-speed digital communication such as data, video, and the
broadband Internet increases, the required throughput of the modules in
communications systems will also increase. In this paper we present an
instruction system, which works on the basis of a wavelength division multiplex
(WDM) system in the visible spectrum. It is specialised for the academic
training at universities to demonstrate the principles of the WDM techniques.
It works platform independent in combination with active modules in the
training description, short inline videos and interactive diagrams. The system
consists of LEDs in different wavelengths using analog and digital signals.
|
physics.optics
|
the demand for highspeed digital communication such as data video and the broadband internet increases the required throughput of the modules in communications systems will also increase in this paper we present an instruction system which works on the basis of a wavelength division multiplex wdm system in the visible spectrum it is specialised for the academic training at universities to demonstrate the principles of the wdm techniques it works platform independent in combination with active modules in the training description short inline videos and interactive diagrams the system consists of leds in different wavelengths using analog and digital signals
|
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|
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|
706.137
|
Magnon mode truncation in a rung-dimerized asymmetric spin ladder
|
An exactly solvable effective model is suggested for an asymmetric spin
ladder with dimerized rungs. Magnon mode truncation originated from magnon
decay (recently observed in the 1D compound ${\rm IPA-CuCl}_3$) is naturally
described within this model. Using Bethe Ansatze we described a one-magnon
sector and obtained relations between interaction constants of the model and
experimentally observable quantities such as the gap and truncation energies,
spin velocity and the truncation wave vector. It is also shown that structure
factor turns to zero at the truncation point.
|
cond-mat.str-el
|
an exactly solvable effective model is suggested for an asymmetric spin ladder with dimerized rungs magnon mode truncation originated from magnon decay recently observed in the 1d compound rm ipacucl_3 is naturally described within this model using bethe ansatze we described a onemagnon sector and obtained relations between interaction constants of the model and experimentally observable quantities such as the gap and truncation energies spin velocity and the truncation wave vector it is also shown that structure factor turns to zero at the truncation point
|
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|
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|
706.1371
|
Material decomposition mechanisms in femtosecond laser interactions with
metals
|
A numerical hydrodynamic study of femtosecond laser ablation is presented. A
detailed analysis of material decomposition is performed using a
thermodynamically complete equation of state with separate stable and
metastable phase states and phase boundaries. The lifetime of the metastable
liquid state is estimated based on the classical theory of homogeneous
nucleation. In addition, mechanical fragmentation of the target material is
controlled based on available criteria. As a result, several ablation
mechanisms are observed. A major fraction of the ablated material, however, is
found to originate from the metastable liquid region, which is decomposed
either thermally in the vicinity of the critical point into a liquid-gas
mixture, or mechanically at high strain rate and negative pressure into liquid
droplets and chunks. The calculation results explain available experimental
findings.
|
physics.comp-ph
|
a numerical hydrodynamic study of femtosecond laser ablation is presented a detailed analysis of material decomposition is performed using a thermodynamically complete equation of state with separate stable and metastable phase states and phase boundaries the lifetime of the metastable liquid state is estimated based on the classical theory of homogeneous nucleation in addition mechanical fragmentation of the target material is controlled based on available criteria as a result several ablation mechanisms are observed a major fraction of the ablated material however is found to originate from the metastable liquid region which is decomposed either thermally in the vicinity of the critical point into a liquidgas mixture or mechanically at high strain rate and negative pressure into liquid droplets and chunks the calculation results explain available experimental findings
|
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|
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|
706.1372
|
Correlated radio--X-ray variability of Galactic Black Holes: A
radio--X-ray flare in Cygnus X-1
|
We report on the first detection of a quasi-simultaneous radio-X-ray flare of
Cygnus X-1. The detection was made on 2005 April 16 with pointed observations
by the Rossi X-ray Timing Explorer and the Ryle telescope, during a phase where
the black hole candidate was close to a transition from the its soft into its
hard state. The radio flare lagged the X-rays by approximately 7 minutes,
peaking at 3:20 hours barycentric time (TDB 2453476.63864). We discuss this lag
in the context of models explaining such flaring events as the ejection of
electron bubbles emitting synchrotron radiation.
|
astro-ph
|
we report on the first detection of a quasisimultaneous radioxray flare of cygnus x1 the detection was made on 2005 april 16 with pointed observations by the rossi xray timing explorer and the ryle telescope during a phase where the black hole candidate was close to a transition from the its soft into its hard state the radio flare lagged the xrays by approximately 7 minutes peaking at 320 hours barycentric time tdb 245347663864 we discuss this lag in the context of models explaining such flaring events as the ejection of electron bubbles emitting synchrotron radiation
|
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|
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|
706.1373
|
Dispersionless limit of the noncommutative potential KP hierarchy and
solutions of the pseudodual chiral model in 2+1 dimensions
|
The usual dispersionless limit of the KP hierarchy does not work in the case
where the dependent variable has values in a noncommutative (e.g. matrix)
algebra. Passing over to the potential KP hierarchy, there is a corresponding
scaling limit in the noncommutative case, which turns out to be the hierarchy
of a `pseudodual chiral model' in 2+1 dimensions (`pseudodual' to a hierarchy
extending Ward's (modified) integrable chiral model). Applying the scaling
procedure to a method generating exact solutions of a matrix (potential) KP
hierarchy from solutions of a matrix linear heat hierarchy, leads to a
corresponding method that generates exact solutions of the matrix
dispersionless potential KP hierarchy, i.e. the pseudodual chiral model
hierarchy. We use this result to construct classes of exact solutions of the
su(m) pseudodual chiral model in 2+1 dimensions, including various multiple
lump configurations.
|
nlin.SI
|
the usual dispersionless limit of the kp hierarchy does not work in the case where the dependent variable has values in a noncommutative eg matrix algebra passing over to the potential kp hierarchy there is a corresponding scaling limit in the noncommutative case which turns out to be the hierarchy of a pseudodual chiral model in 21 dimensions pseudodual to a hierarchy extending wards modified integrable chiral model applying the scaling procedure to a method generating exact solutions of a matrix potential kp hierarchy from solutions of a matrix linear heat hierarchy leads to a corresponding method that generates exact solutions of the matrix dispersionless potential kp hierarchy ie the pseudodual chiral model hierarchy we use this result to construct classes of exact solutions of the sum pseudodual chiral model in 21 dimensions including various multiple lump configurations
|
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|
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|
706.1374
|
High Resolution Mapping of Phase Behavior in a Ternary Lipid Mixture: Do
Lipid-Raft Phase Boundaries Depend on Sample-Prep Procedure?
|
For some time now, we have been using a FRET-based strategy to make
high-resolution studies of phase behavior in ternary lipid-raft membrane
mixtures. Our FRET experiments can be carried out on ordinary, polydisperse
multilamellar vesicle suspensions, so we are able to prepare our samples
according to a procedure that was designed specifically to guard against
artifactual phase separation. In some respects (i.e., the number and nature of
two-phase regions observed), our phase diagrams are consistent with previously
published reports. However, in other respects (i.e., overall size of
miscibility gaps, phase boundary locations and their dependence on temperature)
there are clear differences. Here we present FRET data taken in
DOPC/DPPC/Cholesterol mixtures at 25.0, 35.0 and 45.0oC. Comparisons between
our results and previously reported phase boundaries suggest that lipid-raft
mixtures may be particularly susceptible to demixing effects during sample
preparation.
|
physics.bio-ph
|
for some time now we have been using a fretbased strategy to make highresolution studies of phase behavior in ternary lipidraft membrane mixtures our fret experiments can be carried out on ordinary polydisperse multilamellar vesicle suspensions so we are able to prepare our samples according to a procedure that was designed specifically to guard against artifactual phase separation in some respects ie the number and nature of twophase regions observed our phase diagrams are consistent with previously published reports however in other respects ie overall size of miscibility gaps phase boundary locations and their dependence on temperature there are clear differences here we present fret data taken in dopcdppccholesterol mixtures at 250 350 and 450oc comparisons between our results and previously reported phase boundaries suggest that lipidraft mixtures may be particularly susceptible to demixing effects during sample preparation
|
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|
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|
706.1375
|
Cosmological dynamics of exponential gravity
|
We present a detailed investigation of the cosmological dynamics based on
$\exp (-R/{\Lambda})$ gravity. We apply the dynamical system approach to both
the vacuum and matter cases and obtain exact solutions and their stability in
the finite and asymptotic regimes. The results show that cosmic histories exist
which admit a double de-Sitter phase which could be useful for describing the
early and the late-time accelerating universe.
|
gr-qc astro-ph hep-th
|
we present a detailed investigation of the cosmological dynamics based on exp rlambda gravity we apply the dynamical system approach to both the vacuum and matter cases and obtain exact solutions and their stability in the finite and asymptotic regimes the results show that cosmic histories exist which admit a double desitter phase which could be useful for describing the early and the latetime accelerating universe
|
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|
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|
706.1376
|
Point-contact Andreev reflection spectroscopy of
heavy-fermion-metal/superconductor junctions
|
Our previous point-contact Andreev reflection studies of the heavy-fermion
superconductor CeCoIn$_5$ using Au tips have shown two clear features: reduced
Andreev signal and asymmetric background conductance [1]. To explore their
physical origins, we have extended our measurements to point-contact junctions
between single crystalline heavy-fermion metals and superconducting Nb tips.
Differential conductance spectra are taken on junctions with three
heavy-fermion metals, CeCoIn$_5$, CeRhIn$_5$, and YbAl$_3$, each with different
electron mass. In contrast with Au/CeCoIn$_5$ junctions, Andreev signal is not
reduced and no dependence on effective mass is observed. A possible explanation
based on a two-fluid picture for heavy fermions is proposed. [1] W. K. Park et
al., Phys. Rev. B 72 052509 (2005); W. K. Park et al., Proc. SPIE-Int. Soc.
Opt. Eng. 5932 59321Q (2005); W. K. Park et al., Physica C (in press)
(cond-mat/0606535).
|
cond-mat.supr-con cond-mat.str-el
|
our previous pointcontact andreev reflection studies of the heavyfermion superconductor cecoin_5 using au tips have shown two clear features reduced andreev signal and asymmetric background conductance 1 to explore their physical origins we have extended our measurements to pointcontact junctions between single crystalline heavyfermion metals and superconducting nb tips differential conductance spectra are taken on junctions with three heavyfermion metals cecoin_5 cerhin_5 and ybal_3 each with different electron mass in contrast with aucecoin_5 junctions andreev signal is not reduced and no dependence on effective mass is observed a possible explanation based on a twofluid picture for heavy fermions is proposed 1 w k park et al phys rev b 72 052509 2005 w k park et al proc spieint soc opt eng 5932 59321q 2005 w k park et al physica c in press condmat0606535
|
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|
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|
706.1377
|
Bosonic String and String Field Theory: a solution using
Ultradistributions of Exponential Type
|
In this paper we show that Ultradistributions of Exponential Type (UET) are
appropriate for the description in a consistent way string and string field
theories. A new Lagrangian for the closed string is obtained and shown to be
equivalent to Nambu-Goto's Lagrangian. We also show that the string field is a
linear superposition of UET of compact support CUET). We evaluate the
propagator for the string field, and calculate the convolution of two of them.
|
hep-th
|
in this paper we show that ultradistributions of exponential type uet are appropriate for the description in a consistent way string and string field theories a new lagrangian for the closed string is obtained and shown to be equivalent to nambugotos lagrangian we also show that the string field is a linear superposition of uet of compact support cuet we evaluate the propagator for the string field and calculate the convolution of two of them
|
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|
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|
706.1378
|
Newton law corrections and instabilities in $f(R)$ gravity with the
effective cosmological constant epoch
|
We consider class of modified $f(R)$ gravities with the effective
cosmological constant epoch at the early and late universe. Such models pass
most of solar system tests as well they satisfy to cosmological bounds. Despite
their very attractive properties, it is shown that one realistic class of such
models may lead to significant Newton law corrections which become small at the
future universe only. The model with acceptable Newton law regime shows the
matter instability. This suggests that more complicated version of such theory
(or extended parameters space) should be investigated.
|
hep-th astro-ph gr-qc
|
we consider class of modified fr gravities with the effective cosmological constant epoch at the early and late universe such models pass most of solar system tests as well they satisfy to cosmological bounds despite their very attractive properties it is shown that one realistic class of such models may lead to significant newton law corrections which become small at the future universe only the model with acceptable newton law regime shows the matter instability this suggests that more complicated version of such theory or extended parameters space should be investigated
|
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|
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|
706.1379
|
On the generalization of the Costas property in the continuum
|
We extend the definition of the Costas property to functions in the
continuum, namely on intervals of the reals or the rationals, and argue that
such functions can be used in the same applications as discrete Costas arrays.
We construct Costas bijections in the real continuum within the class of
piecewise continuously differentiable functions, but our attempts to construct
a fractal-like Costas bijection there are successful only under slight but
necessary deviations from the usual arithmetic laws. Furthermore, we are able,
contingent on the validity of Artin's conjecture, to set up a limiting process
according to which sequences of Welch Costas arrays converge to smooth Costas
bijections over the reals. The situation over the rationals is different:
there, we propose an algorithm of great generality and flexibility for the
construction of a Costas fractal bijection. Its success, though, relies heavily
on the enumerability of the rationals, and therefore it cannot be generalized
over the reals in an obvious way.
|
math.CO
|
we extend the definition of the costas property to functions in the continuum namely on intervals of the reals or the rationals and argue that such functions can be used in the same applications as discrete costas arrays we construct costas bijections in the real continuum within the class of piecewise continuously differentiable functions but our attempts to construct a fractallike costas bijection there are successful only under slight but necessary deviations from the usual arithmetic laws furthermore we are able contingent on the validity of artins conjecture to set up a limiting process according to which sequences of welch costas arrays converge to smooth costas bijections over the reals the situation over the rationals is different there we propose an algorithm of great generality and flexibility for the construction of a costas fractal bijection its success though relies heavily on the enumerability of the rationals and therefore it cannot be generalized over the reals in an obvious way
|
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|
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|
706.138
|
The Advantages of Four Dimensions for Composite Higgs Models
|
We examine the relationship between little Higgs and 5d composite models with
identical symmetry structures. By performing an "extreme" deconstruction, one
can reduce any warped composite model to a little Higgs theory on a handful of
sites. This allows us to use 4d intuition and the powerful constraints of
nonlinear sigma models to elucidate obscure points in the original setup. We
find that the finiteness of the Higgs potential in 5d is due to the same
collective symmetry breaking as in the little Higgs. We compare a 4d and a 5d
model with the same symmetry to the data. Reviewing the constraints on models
related to the Minimal Composite Higgs (hep-ph/0412089), we see that it has
difficulty in producing acceptable values for S, T, and m_{top} simultaneously.
By contrast, in a global analysis, the Minimal Moose with custodial symmetry is
viable in a large region of its parameter space and suffers from no numeric
tunings. We conjecture that this result is generic for 4d and 5d models with
identical symmetries. The data will less strongly constrain the little theory.
|
hep-ph
|
we examine the relationship between little higgs and 5d composite models with identical symmetry structures by performing an extreme deconstruction one can reduce any warped composite model to a little higgs theory on a handful of sites this allows us to use 4d intuition and the powerful constraints of nonlinear sigma models to elucidate obscure points in the original setup we find that the finiteness of the higgs potential in 5d is due to the same collective symmetry breaking as in the little higgs we compare a 4d and a 5d model with the same symmetry to the data reviewing the constraints on models related to the minimal composite higgs hepph0412089 we see that it has difficulty in producing acceptable values for s t and m_top simultaneously by contrast in a global analysis the minimal moose with custodial symmetry is viable in a large region of its parameter space and suffers from no numeric tunings we conjecture that this result is generic for 4d and 5d models with identical symmetries the data will less strongly constrain the little theory
|
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|
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|
706.1381
|
A geometric invariant theory construction of moduli spaces of stable
maps
|
We construct the moduli spaces of stable maps, \bar M_g,n(P^r,d), via
geometric invariant theory (GIT). This construction is only valid over Spec C,
but a special case is a GIT presentation of the moduli space of stable curves
of genus g with n marked points, \bar M_g,n; this is valid over Spec Z. Our
method follows that used in the case n=0 by Gieseker to construct \bar M_g,
though our proof that the semistable set is nonempty is entirely different.
|
math.AG
|
we construct the moduli spaces of stable maps bar m_gnprd via geometric invariant theory git this construction is only valid over spec c but a special case is a git presentation of the moduli space of stable curves of genus g with n marked points bar m_gn this is valid over spec z our method follows that used in the case n0 by gieseker to construct bar m_g though our proof that the semistable set is nonempty is entirely different
|
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|
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|
706.1382
|
Transversality versus Universality for Additive Quantum Codes
|
Certain quantum codes allow logic operations to be performed on the encoded
data, such that a multitude of errors introduced by faulty gates can be
corrected. An important class of such operations are {\em transversal}, acting
bitwise between corresponding qubits in each code block, thus allowing error
propagation to be carefully limited. If any quantum operation could be
implemented using a set of such gates, the set would be {\em universal}; codes
with such a universal, transversal gate set have been widely desired for
efficient fault-tolerant quantum computation. We study the structure of
GF(4)-additive quantum codes and prove that no universal set of transversal
logic operations exists for these codes. This result strongly supports the idea
that additional primitive operations, based for example on quantum
teleportation, are necessary to achieve universal fault-tolerant computation on
additive codes.
|
quant-ph
|
certain quantum codes allow logic operations to be performed on the encoded data such that a multitude of errors introduced by faulty gates can be corrected an important class of such operations are em transversal acting bitwise between corresponding qubits in each code block thus allowing error propagation to be carefully limited if any quantum operation could be implemented using a set of such gates the set would be em universal codes with such a universal transversal gate set have been widely desired for efficient faulttolerant quantum computation we study the structure of gf4additive quantum codes and prove that no universal set of transversal logic operations exists for these codes this result strongly supports the idea that additional primitive operations based for example on quantum teleportation are necessary to achieve universal faulttolerant computation on additive codes
|
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|
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|
706.1383
|
Fixed point theorem for discontinuous mappings on PN spaces
|
We present a study on strong t-continuity and measure of discontinuity on PN
spaces. As an application, we prove a fixed point theorem for a self mapping on
PN spaces by means of measure of discontinuity.
|
math.FA
|
we present a study on strong tcontinuity and measure of discontinuity on pn spaces as an application we prove a fixed point theorem for a self mapping on pn spaces by means of measure of discontinuity
|
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|
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|
706.1384
|
Thermodynamic quantum critical behavior of the Kondo necklace model
|
We obtain the phase diagram and thermodynamic behavior of the Kondo necklace
model for arbitrary dimensions $d$ using a representation for the localized and
conduction electrons in terms of local Kondo singlet and triplet operators. A
decoupling scheme on the double time Green's functions yields the dispersion
relation for the excitations of the system. We show that in $d\geq 3$ there is
an antiferromagnetically ordered state at finite temperatures terminating at a
quantum critical point (QCP). In 2-d, long range magnetic order occurs only at
T=0. The line of Neel transitions for $d>2$ varies with the distance to the
quantum critical point QCP $|g|$ as, $T_N \propto |g|^{\psi}$ where the shift
exponent $\psi=1/(d-1)$. In the paramagnetic side of the phase diagram, the
spin gap behaves as $\Delta\approx \sqrt{|g|}$ for $d \ge 3$ consistent with
the value $z=1$ found for the dynamical critical exponent. We also find in this
region a power law temperature dependence in the specific heat for
$k_BT\gg\Delta$ and along the non-Fermi liquid trajectory. For $k_BT
\ll\Delta$, in the so-called Kondo spin liquid phase, the thermodynamic
behavior is dominated by an exponential temperature dependence.
|
cond-mat.str-el
|
we obtain the phase diagram and thermodynamic behavior of the kondo necklace model for arbitrary dimensions d using a representation for the localized and conduction electrons in terms of local kondo singlet and triplet operators a decoupling scheme on the double time greens functions yields the dispersion relation for the excitations of the system we show that in dgeq 3 there is an antiferromagnetically ordered state at finite temperatures terminating at a quantum critical point qcp in 2d long range magnetic order occurs only at t0 the line of neel transitions for d2 varies with the distance to the quantum critical point qcp g as t_n propto gpsi where the shift exponent psi1d1 in the paramagnetic side of the phase diagram the spin gap behaves as deltaapprox sqrtg for d ge 3 consistent with the value z1 found for the dynamical critical exponent we also find in this region a power law temperature dependence in the specific heat for k_btggdelta and along the nonfermi liquid trajectory for k_bt lldelta in the socalled kondo spin liquid phase the thermodynamic behavior is dominated by an exponential temperature dependence
|
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|
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|
706.1385
|
On (g, \phi)-contraction in fuzzy metric spaces
|
In this paper, we give a generalization of Hicks type contractions and Golet
type contractions on fuzzy metric spaces. We prove some fixed point theorems
for this new type contractions mappings on fuzzy metric spaces.
|
math.FA
|
in this paper we give a generalization of hicks type contractions and golet type contractions on fuzzy metric spaces we prove some fixed point theorems for this new type contractions mappings on fuzzy metric spaces
|
[['in', 'this', 'paper', 'we', 'give', 'a', 'generalization', 'of', 'hicks', 'type', 'contractions', 'and', 'golet', 'type', 'contractions', 'on', 'fuzzy', 'metric', 'spaces', 'we', 'prove', 'some', 'fixed', 'point', 'theorems', 'for', 'this', 'new', 'type', 'contractions', 'mappings', 'on', 'fuzzy', 'metric', 'spaces']]
|
[-0.11172144125927896, 0.045555519802934104, -0.02840358648887452, 0.14400416198323535, -0.10352551176294904, -0.11143543602734365, 0.11707107545054682, 0.3312094292658217, -0.2946418731966439, -0.08362792558310662, 0.1818742059986107, -0.3133187755284941, -0.2564546128954081, 0.17747992698979728, -0.2706657986923614, -0.0450113131390775, 0.020702444290851846, 0.06073550975826733, -0.18180407320751862, -0.2678476590115358, 0.5328211562214967, -0.10106063787551488, 0.22466785600408912, 0.03395825328634066, 0.12255876427790259, 0.01591627612052595, -0.09042651981444043, 0.040896221776218974, -0.21821832632207694, 0.14256679961759158, 0.22693802115014372, 0.15619710459620417, 0.2724044077536639, -0.330454974928323, -0.15672416304347708, 0.23539521279470885, 0.053057149011532176, -0.02964584606097025, -0.06403965742655975, -0.2948319501079181, 0.07979780531433575, -0.12902196737773278, -0.13808006405666032, -0.18043192158288815, 0.011598700000082745, 0.03825651081826757, -0.26930523674715967, -0.05580761043957489, 0.18753321030560663, 0.09451043449884952, -0.15193457906956181, -0.04458759319694603, 0.08551221720271689, -0.021411315332550335, -0.04451496727928957, 0.0613660133060287, 0.05422756971572252, 0.014136653681121329, -0.2015688993201098, 0.27592202067813454, 0.010034990907811066, -0.32898183670990605, 0.14968278237125454, -0.07230365284554222, -0.27543708561536145, -0.04751129470327321, 0.1768853839021176, 0.19472969249438712, -0.10927870718981414, 0.14561088070759604, -0.04246828935163863, 0.047820217911708714, 0.1539454890469856, 0.07878990701454527, 0.0955023649148643, 0.11866196272346903, 0.13120096324778655, 0.1789780307068106, 0.03142923178315601, -0.07764170289738104, -0.42423825831535983, -0.18230722770642707, -0.06425744879936032, 0.12132144215352395, -0.24610607523209183, -0.2594857378041043, 0.3718121240792029, 0.06235726807704743, 0.1792597742203404, 0.1801805920789347, 0.1713781392420916, 0.06302921599982415, 0.02480462401667062, 0.049980186884674954, 0.19458783959356984, 0.17798173789154081, 0.10434608099817791, -0.009947163741076914, -0.06979388936751467, 0.3558633364052238]
|
706.1386
|
Interface Width and Bulk Stability: requirements for the simulation of
Deeply Quenched Liquid-Gas Systems
|
Simulations of liquid-gas systems with extended interfaces are observed to
fail to give accurate results for two reasons: the interface can get ``stuck''
on the lattice or a density overshoot develops around the interface. In the
first case the bulk densities can take a range of values, dependent on the
initial conditions. In the second case inaccurate bulk densities are found. In
this communication we derive the minimum interface width required for the
accurate simulation of liquid gas systems with a diffuse interface. We
demonstrate this criterion for lattice Boltzmann simulations of a van der Waals
gas. When combining this criterion with predictions for the bulk stability we
can predict the parameter range that leads to stable and accurate simulation
results. This allows us to identify parameter ranges leading to high density
ratios of over 1000. This is despite the fact that lattice Boltzmann
simulations of liquid-gas systems were believed to be restricted to modest
density ratios of less than 20.
|
cond-mat.soft
|
simulations of liquidgas systems with extended interfaces are observed to fail to give accurate results for two reasons the interface can get stuck on the lattice or a density overshoot develops around the interface in the first case the bulk densities can take a range of values dependent on the initial conditions in the second case inaccurate bulk densities are found in this communication we derive the minimum interface width required for the accurate simulation of liquid gas systems with a diffuse interface we demonstrate this criterion for lattice boltzmann simulations of a van der waals gas when combining this criterion with predictions for the bulk stability we can predict the parameter range that leads to stable and accurate simulation results this allows us to identify parameter ranges leading to high density ratios of over 1000 this is despite the fact that lattice boltzmann simulations of liquidgas systems were believed to be restricted to modest density ratios of less than 20
|
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|
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|
706.1387
|
Theory of Neutron Scattering in High-T$_c$ Cuprates: Two Component
Spin-Fermion Model
|
Recent neutron scattering experiments have revealed that the generic form of
the magnetic excitations in the high-Tc cuprates of wide range of doping has
the so-called "hourglass" shape; it features both upward and downward
excitations at the incommensurate (IC) momenta spanning from the resonance peak
at the commensurate momentum $(\pi,\pi)$. We propose the two-component
spin-fermion model as a minimal phenomenological model which has both local
spins and itinerant fermions as independent degrees of freedom. Our
calculations of the dynamic spin correlation function provide good agreement
with experiments and show: (1) the upward dispersion branch of magnetic
excitations is mostly due to the local spin excitations; (2) the downward
dispersion branch is from collective spin excitations of fermions; (3) the
resonance mode is a mixture of both degrees of freedom.
|
cond-mat.str-el cond-mat.supr-con
|
recent neutron scattering experiments have revealed that the generic form of the magnetic excitations in the hightc cuprates of wide range of doping has the socalled hourglass shape it features both upward and downward excitations at the incommensurate ic momenta spanning from the resonance peak at the commensurate momentum pipi we propose the twocomponent spinfermion model as a minimal phenomenological model which has both local spins and itinerant fermions as independent degrees of freedom our calculations of the dynamic spin correlation function provide good agreement with experiments and show 1 the upward dispersion branch of magnetic excitations is mostly due to the local spin excitations 2 the downward dispersion branch is from collective spin excitations of fermions 3 the resonance mode is a mixture of both degrees of freedom
|
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|
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|
706.1388
|
Wall-Crossing Morphisms in Khovanov-Rozansky Homology
|
We define a wall-crossing morphism for Khovanov-Rozansky homology; that is, a
map between the KR homology of knots related by a crossing change. Using this
map, we extend KR homology to an invariant of singular knots categorifying the
Vasilliev derivative of the HOMFLY polynomial, and of $\mathfrak{sl}_n$ quantum
invariants.
|
math.GT math.QA
|
we define a wallcrossing morphism for khovanovrozansky homology that is a map between the kr homology of knots related by a crossing change using this map we extend kr homology to an invariant of singular knots categorifying the vasilliev derivative of the homfly polynomial and of mathfraksl_n quantum invariants
|
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|
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|
706.1389
|
Core-shell structures in single flexible-semiflexible block copolymers:
Finding the free energy minimum for the folding transition
|
We investigate the folding transition of a single diblock copolymer
consisting of a semiflexible and a flexible block. We obtain a {\it
Saturn-shaped} core-shell conformation in the folded state, in which the
flexible block forms a core and the semiflexible block wraps around it. We
demonstrate two distinctive features of the core-shell structures: (i) The
kinetics of the folding transition in the copolymer are significantly more
efficient than those of a semiflexible homopolymer. (ii) The core-shell
structure does not depend on the transition pathway.
|
cond-mat.soft
|
we investigate the folding transition of a single diblock copolymer consisting of a semiflexible and a flexible block we obtain a it saturnshaped coreshell conformation in the folded state in which the flexible block forms a core and the semiflexible block wraps around it we demonstrate two distinctive features of the coreshell structures i the kinetics of the folding transition in the copolymer are significantly more efficient than those of a semiflexible homopolymer ii the coreshell structure does not depend on the transition pathway
|
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|
[-0.14303206833477794, 0.14290173581790133, -0.07501077482544155, 0.0020059019955525914, -0.012660471046433211, -0.2038463122065527, -0.012480154252016401, 0.44637195590928375, -0.26193140972271023, -0.1851814211155456, 0.03618933935509434, -0.23479897347110582, -0.20923959405486842, 0.08008084271148026, 0.0546055549912783, 0.007286376409591681, 0.05938260718978133, 0.005958774171949151, -0.0970042000737894, -0.10169456406294491, 0.2210164864222149, 0.060923564606851124, 0.3013122822999595, 0.0003682516672345529, 0.06106563587953527, 0.0021547052605324483, 0.10526931810989437, 0.020350539136722863, -0.230454644205116, 0.14135806528425002, 0.19215802143675736, 0.020203008350119532, 0.2024158248593694, -0.46976434349654667, -0.2199357245341841, 0.03457362777329084, 0.19909073912302952, 0.18379226477721325, -0.026782952674912815, -0.2443196154143437, 0.0809285074629518, -0.17440480221040458, -0.051346758447856786, -0.019742082378052802, -0.0038153378921280423, 0.04863470240709293, -0.20704546410110722, 0.0713865503399487, 0.10327078434863095, 0.011097810472395405, -0.06480306770136378, -0.09085240782833243, -0.031601278593831036, 0.07494785545214293, -0.020483714822926616, -0.02295458516532398, 0.28342314950942277, -0.12072204667177186, -0.06326796743929027, 0.3948659900441227, -0.018872381909785466, -0.1833776435309864, 0.2043451072132013, -0.10475261656971402, -0.16827284346099, 0.2027076426051916, 0.1331231883356729, 0.18022322489218, -0.12504505518759343, 0.033484325282758166, -0.00047834542108677236, 0.22439548976898913, 0.0692965216115566, -0.04232212841645422, 0.24237163472606474, 0.2877310072801199, 0.012651198690880584, 0.23992116156830845, -0.10397311317711978, -0.16624118034806418, -0.20523831070995474, -0.23997216669741614, -0.176032858709973, 0.029014599658387534, -0.14466064291443753, -0.2973393866994295, 0.4190590122198484, 0.023944648835493857, 0.25488826279045945, 0.09282284739556307, 0.16658178680430513, -0.05990332324641297, 0.10678666013191981, 0.026860691174999417, 0.1930682940790093, 0.12744423008737077, 0.07865350186286202, -0.2385644018650055, 0.11565060909916029, 0.03533275395138077]
|
706.139
|
Strong atom-field coupling for Bose-Einstein condensates in an optical
cavity on a chip
|
An optical cavity enhances the interaction between atoms and light, and the
rate of coherent atom-photon coupling can be made larger than all decoherence
rates of the system. For single atoms, this strong coupling regime of cavity
quantum electrodynamics (cQED) has been the subject of spectacular experimental
advances, and great efforts have been made to control the coupling rate by
trapping and cooling the atom towards the motional ground state, which has been
achieved in one dimension so far. For N atoms, the three-dimensional ground
state of motion is routinely achieved in atomic Bose-Einstein condensates
(BECs), but although first experiments combining BECs and optical cavities have
been reported recently, coupling BECs to strong-coupling cavities has remained
an elusive goal. Here we report such an experiment, which is made possible by
combining a new type of fibre-based cavity with atom chip technology. This
allows single-atom cQED experiments with a simplified setup and realizes the
new situation of N atoms in a cavity each of which is identically and strongly
coupled to the cavity mode. Moreover, the BEC can be positioned
deterministically anywhere within the cavity and localized entirely within a
single antinode of the standing-wave cavity field. This gives rise to a
controlled, tunable coupling rate, as we confirm experimentally. We study the
heating rate caused by a cavity transmission measurement as a function of the
coupling rate and find no measurable heating for strongly coupled BECs. The
spectrum of the coupled atoms-cavity system, which we map out over a wide range
of atom numbers and cavity-atom detunings, shows vacuum Rabi splittings
exceeding 20 gigahertz, as well as an unpredicted additional splitting which we
attribute to the atomic hyperfine structure.
|
quant-ph
|
an optical cavity enhances the interaction between atoms and light and the rate of coherent atomphoton coupling can be made larger than all decoherence rates of the system for single atoms this strong coupling regime of cavity quantum electrodynamics cqed has been the subject of spectacular experimental advances and great efforts have been made to control the coupling rate by trapping and cooling the atom towards the motional ground state which has been achieved in one dimension so far for n atoms the threedimensional ground state of motion is routinely achieved in atomic boseeinstein condensates becs but although first experiments combining becs and optical cavities have been reported recently coupling becs to strongcoupling cavities has remained an elusive goal here we report such an experiment which is made possible by combining a new type of fibrebased cavity with atom chip technology this allows singleatom cqed experiments with a simplified setup and realizes the new situation of n atoms in a cavity each of which is identically and strongly coupled to the cavity mode moreover the bec can be positioned deterministically anywhere within the cavity and localized entirely within a single antinode of the standingwave cavity field this gives rise to a controlled tunable coupling rate as we confirm experimentally we study the heating rate caused by a cavity transmission measurement as a function of the coupling rate and find no measurable heating for strongly coupled becs the spectrum of the coupled atomscavity system which we map out over a wide range of atom numbers and cavityatom detunings shows vacuum rabi splittings exceeding 20 gigahertz as well as an unpredicted additional splitting which we attribute to the atomic hyperfine structure
|
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|
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|
706.1391
|
Elastic scattering theory and transport in graphene
|
Electron properties of graphene are described in terms of Dirac fermions.
Here we thoroughly outline the elastic scattering theory for the
two-dimensional massive Dirac fermions in the presence of an axially symmetric
potential. While the massless limit is relevant for pristine graphene, keeping
finite mass allows for generalizations onto situations with broken symmetry
between the two sublattices, and provides a link to the scattering theory of
electrons in a parabolic band. We demonstrate that the Dirac theory requires
short-distance regularization for potentials which are more singular than 1/r.
The formalism is then applied to scattering off a smooth short-ranged
potential. Next we consider the Coulomb potential scattering, where the Dirac
theory is consistent for a point scatterer only for the effective impurity
strength below 1/2. From the scattering phase shifts we obtain the exact
Coulomb transport cross-section in terms of the impurity strength. The results
are relevant for transport in graphene in the presence of impurities that do
not induce scattering between the Dirac points in the Brillouin zone.
|
cond-mat.mes-hall cond-mat.mtrl-sci
|
electron properties of graphene are described in terms of dirac fermions here we thoroughly outline the elastic scattering theory for the twodimensional massive dirac fermions in the presence of an axially symmetric potential while the massless limit is relevant for pristine graphene keeping finite mass allows for generalizations onto situations with broken symmetry between the two sublattices and provides a link to the scattering theory of electrons in a parabolic band we demonstrate that the dirac theory requires shortdistance regularization for potentials which are more singular than 1r the formalism is then applied to scattering off a smooth shortranged potential next we consider the coulomb potential scattering where the dirac theory is consistent for a point scatterer only for the effective impurity strength below 12 from the scattering phase shifts we obtain the exact coulomb transport crosssection in terms of the impurity strength the results are relevant for transport in graphene in the presence of impurities that do not induce scattering between the dirac points in the brillouin zone
|
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|
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|
706.1392
|
Two-dimensional N=(2,2) super Yang-Mills theory on computer
|
We carry out preliminary numerical study of Sugino's lattice formulation
\cite{Sugino:2004qd,Sugino:2004qdf} of the two-dimensional $\mathcal{N}=(2,2)$
super Yang-Mills theory (2d $\mathcal{N}=(2,2)$ SYM) with the gauge group
$\SU(2)$. The effect of dynamical fermions is included by re-weighting a
quenched ensemble by the pfaffian factor. It appears that the complex phase of
the pfaffian due to lattice artifacts and flat directions of the classical
potential are not problematic in Monte Carlo simulation. Various one-point
supersymmetric Ward-Takahashi (WT) identities are examined for lattice spacings
up to $a=0.5/g$ with the fixed physical lattice size $L=4.0/g$, where $g$
denotes the gauge coupling constant in two dimensions. WT identities implied by
an exact fermionic symmetry of the formulation are confirmed in fair accuracy
and, for most of these identities, the quantum effect of dynamical fermions is
clearly observed. For WT identities expected only in the continuum limit, the
results seem to be consistent with the behavior expected from supersymmetry,
although we do not see clear distintion from the quenched simulation. We
measure also the expectation values of renormalized gauge-invariant bi-linear
operators of scalar fields.
|
hep-lat hep-th
|
we carry out preliminary numerical study of suginos lattice formulation citesugino2004qdsugino2004qdf of the twodimensional mathcaln22 super yangmills theory 2d mathcaln22 sym with the gauge group su2 the effect of dynamical fermions is included by reweighting a quenched ensemble by the pfaffian factor it appears that the complex phase of the pfaffian due to lattice artifacts and flat directions of the classical potential are not problematic in monte carlo simulation various onepoint supersymmetric wardtakahashi wt identities are examined for lattice spacings up to a05g with the fixed physical lattice size l40g where g denotes the gauge coupling constant in two dimensions wt identities implied by an exact fermionic symmetry of the formulation are confirmed in fair accuracy and for most of these identities the quantum effect of dynamical fermions is clearly observed for wt identities expected only in the continuum limit the results seem to be consistent with the behavior expected from supersymmetry although we do not see clear distintion from the quenched simulation we measure also the expectation values of renormalized gaugeinvariant bilinear operators of scalar fields
|
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|
[-0.1181118665720643, 0.20466816920265246, -0.07667949896122765, 0.0945563752142271, -0.03911940918460144, -0.12720083946098354, 0.0449152508477352, 0.3706226706332554, -0.19911985439527646, -0.24875101498987612, 0.0875848699879235, -0.29274028616639747, -0.16177803824111991, 0.10954073224434727, 0.009866254756797773, 0.07294577983017228, 0.025758939218671045, 0.01693353062156437, -0.13744385562422604, -0.28187046597060356, 0.2979615769090637, 0.01476166594297103, 0.2704810554570804, 0.05716471082761055, 0.06049096134808884, 0.005141683461176867, -0.039784791820138866, 0.004457212188496453, -0.11101201615543435, 0.057059374934323455, 0.18255686960748338, -0.015598730918967482, 0.14305911096878823, -0.4074902229570929, -0.18794695566262984, 0.08897102574381784, 0.15867327533613867, 0.10850326204672456, -0.017829174848779432, -0.2840900139101227, 0.07169206363466606, -0.15920326238325824, -0.19674098724095593, -0.09930674339527859, -0.02366725821451774, -0.06587100046218475, -0.2816372542464406, 0.14773606043157567, -0.00575402587153572, 0.08469476051240987, -0.004625568879334891, -0.15438909908202128, -0.08794527099335922, 0.08919264037549668, 0.08988057093148394, 0.03990134502985822, 0.11461196753204493, -0.19175441738627205, -0.1498702254524519, 0.4228536451472282, -0.06016925558571655, -0.22270360827241417, 0.16459109676016678, -0.1686374250788651, -0.1748592601012374, 0.12875870012306753, 0.08655676057136946, 0.10244868806229548, -0.16089581860218607, 0.15955105166804218, -0.08270733517653853, 0.13810564056133065, 0.03876475753757909, 0.02491402877440859, 0.20805473407700853, 0.07645376514363496, 0.0054808981310188595, 0.14805314650643359, -0.0005174195555420969, -0.16597049066936867, -0.36283693260195626, -0.13256262735439453, -0.1838028018518938, 0.10873743784872981, -0.13874509088769743, -0.15954443854898903, 0.34331690150749133, 0.18705347450981671, 0.13453368401232935, 0.06207725466390523, 0.18916645636405213, 0.1420515113957011, 0.11565690240997692, 0.02685572193784779, 0.22144560430285043, 0.17354510673806287, 0.06821689489862823, -0.2565089839327585, -0.09476155254483826, 0.1395217844317371]
|
706.1393
|
A universal property of the monoidal 2-category of cospans of finite
linear orders and surjections
|
We prove that the monoidal 2-category of cospans of finite linear orders and
surjections is the universal monoidal category with an object X with a
semigroup and a cosemigroup structures, where the two structures satisfy a
certain 2-dimensional separable algebra condition.
|
math.CT
|
we prove that the monoidal 2category of cospans of finite linear orders and surjections is the universal monoidal category with an object x with a semigroup and a cosemigroup structures where the two structures satisfy a certain 2dimensional separable algebra condition
|
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|
[-0.19004438510164617, 0.08931192976051534, -0.05344927092955913, 0.07670949969324284, -0.14192581189563497, -0.1379795685992576, -0.04594764618668705, 0.39985590511932967, -0.46123472414910793, -0.1198408137075603, 0.09671565316384659, -0.20616742842830718, -0.10442238880787044, 0.13464676716830581, -0.16059974927920848, -0.059175761742517353, 0.07223871815949678, 0.13539307746104895, -0.1443026557622943, -0.22451179898343981, 0.5079663753509521, -0.07503494275733828, 0.25273582777008413, 0.005002724146470428, 0.20601263749413193, -0.04106806517811492, 0.06918826750479638, 0.051417284505441786, -0.1434154279917493, 0.1000550362514332, 0.32791862282902, 0.06242064649122767, 0.18858039691403974, -0.38940719086676834, -0.06269845929928124, 0.17315819207578897, 0.036263854103162886, -0.008564703352749347, -0.03014812765759416, -0.3478776823496446, 0.14322542994632387, -0.2799630869645625, -0.04902232850436121, -0.040562518499791624, 0.10996088250540197, 0.01552295801229775, -0.30999759866390375, -0.09373865388333798, 0.17937118671834468, 0.11391030852100811, -0.10936068128794432, -0.020122261240612716, -0.11265140138566494, 0.049496488051954654, -0.124257181660505, 0.04162299014860764, 0.14787831765133888, -0.09951380039565265, -0.1438873817678541, 0.3813852366991341, -0.03251560365315527, -0.23527210261672735, 0.14071377663640305, -0.178189657186158, -0.13211386389448307, 0.12217286658706143, -0.04246450430364348, 0.1690556517802179, -0.04186997660435736, 0.2506662945233984, -0.22145256279036402, 0.12173741995356976, 0.0772371431812644, 0.0791490689618513, 0.12610582076013088, 0.1305419253767468, 0.08326327037066221, 0.1715160590247251, 0.05253807697445154, -0.04135216126451269, -0.39787735268473623, -0.1691535393241793, -0.016879543423419817, 0.13721460376400502, -0.11422604476028937, -0.24779742825776338, 0.342270351247862, 0.06022679656744003, 0.21206864311825485, 0.19670344607438892, 0.18028694787062705, 0.05095186429098249, 0.0812529617920518, 0.05711062260670587, 0.06115576475858688, 0.29608918582089244, -0.03428587212692946, -0.044165955053176734, -0.03091328381560743, 0.22304549273103474]
|
706.1394
|
Measurement of the CKM angles alpha and gamma at the BaBar experiment
|
We present recent measurements of the CKM angles alpha and gamma using data
collected by the BaBar detector at the PEP-II asymmetric-energy e+ e- collider
at the Stanford Linear Accelerator Center. In addition to constraints on alpha
from the decays B0 -> pi+ pi-, B0 -> rho+ pi- and B0 -> rho+ rho-, we also
report the first measurement of time-dependent CP asymmetries in the decay B0
-> a1+(1260) pi-. We present measurements of gamma in B+ -> D(*)0 K+ decays
using a Dalitz analysis in the modes D^0 -> Ks pi+ pi- and D^0 -> pi+ pi- pi0.
|
hep-ex
|
we present recent measurements of the ckm angles alpha and gamma using data collected by the babar detector at the pepii asymmetricenergy e e collider at the stanford linear accelerator center in addition to constraints on alpha from the decays b0 pi pi b0 rho pi and b0 rho rho we also report the first measurement of timedependent cp asymmetries in the decay b0 a11260 pi we present measurements of gamma in b d0 k decays using a dalitz analysis in the modes d0 ks pi pi and d0 pi pi pi0
|
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|
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|
706.1395
|
Opportunistic Network Coding for Video Streaming over Wireless
|
In this paper, we study video streaming over wireless networks with network
coding capabilities. We build upon recent work, which demonstrated that network
coding can increase throughput over a broadcast medium, by mixing packets from
different flows into a single packet, thus increasing the information content
per transmission. Our key insight is that, when the transmitted flows are video
streams, network codes should be selected so as to maximize not only the
network throughput but also the video quality. We propose video-aware
opportunistic network coding schemes that take into account both (i) the
decodability of network codes by several receivers and (ii) the importance and
deadlines of video packets. Simulation results show that our schemes
significantly improve both video quality and throughput.
|
cs.NI
|
in this paper we study video streaming over wireless networks with network coding capabilities we build upon recent work which demonstrated that network coding can increase throughput over a broadcast medium by mixing packets from different flows into a single packet thus increasing the information content per transmission our key insight is that when the transmitted flows are video streams network codes should be selected so as to maximize not only the network throughput but also the video quality we propose videoaware opportunistic network coding schemes that take into account both i the decodability of network codes by several receivers and ii the importance and deadlines of video packets simulation results show that our schemes significantly improve both video quality and throughput
|
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|
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|
706.1396
|
A universal enveloping for L-infinity algebras
|
For any L-infinity algebra L, we construct an A-infinity structure on the
space of symmetric tensors Sym*(L), which generalizes the classical universal
enveloping for Lie algebras. Our construction is based on an invariant homotopy
on a cobar construction of the symmetric coalgebra, which is obtained through
its relation with permutahedra and Young tableaux.
|
math.RT math.RA
|
for any linfinity algebra l we construct an ainfinity structure on the space of symmetric tensors syml which generalizes the classical universal enveloping for lie algebras our construction is based on an invariant homotopy on a cobar construction of the symmetric coalgebra which is obtained through its relation with permutahedra and young tableaux
|
[['for', 'any', 'linfinity', 'algebra', 'l', 'we', 'construct', 'an', 'ainfinity', 'structure', 'on', 'the', 'space', 'of', 'symmetric', 'tensors', 'syml', 'which', 'generalizes', 'the', 'classical', 'universal', 'enveloping', 'for', 'lie', 'algebras', 'our', 'construction', 'is', 'based', 'on', 'an', 'invariant', 'homotopy', 'on', 'a', 'cobar', 'construction', 'of', 'the', 'symmetric', 'coalgebra', 'which', 'is', 'obtained', 'through', 'its', 'relation', 'with', 'permutahedra', 'and', 'young', 'tableaux']]
|
[-0.13068742579165496, 0.057416066532308796, -0.10741545616666663, 0.0587359600972806, -0.20703996461376828, -0.10243571305401483, -0.0647369600516164, 0.3618624394513526, -0.37024216142149186, -0.17246133493224405, 0.11033207608852535, -0.14695245018756053, -0.18660801392540616, 0.19031926407918054, -0.16795849453939019, -0.09892683506192076, 0.05591463783474745, 0.13232120912838377, -0.17237156641862864, -0.19769010762684047, 0.4726398055845836, 0.05401582027926057, 0.23685438332966374, -0.027948565921693477, 0.16185707592774393, 0.024271830485887685, -0.03379185982751397, -0.07024439882085096, -0.19399205284228302, 0.15775908417736162, 0.2563392216656006, 0.0728072259785994, 0.09767349178129632, -0.30614009858021196, -0.030936245967959106, 0.12048534951436352, 0.15167799785311492, 0.024677973710668256, -0.04124734457362584, -0.3437758538836859, 0.0741073993333387, -0.23437262633112524, -0.08818311010540095, -0.06630061466668574, 0.10835406239329011, -0.03087424881369719, -0.2471157976894042, -0.029931834565018706, 0.12780112509598146, 0.12772782391183218, -0.1083938983853309, -0.12153495711116295, -0.08792161707379767, 0.04819862370572563, -0.14497888791989885, 0.06066087676423057, 0.15522506572130434, -0.053876720026205735, -0.22186830026572044, 0.35617651656832333, 0.003248342963041, -0.2671454278927929, 0.12237215228818075, -0.13280326454847488, -0.18839993937608768, 0.09257855425799652, -0.00921137224584115, 0.15027989419001453, -0.02043218250092084, 0.2528892921026849, -0.17606339931382603, 0.04727054266083353, 0.08940046551233193, 0.00485599594507015, 0.14318936829507914, 0.11612136862987547, 0.06900284934859231, 0.1642041088626632, 0.06286527428617876, -0.1108209100235605, -0.3572194463801834, -0.18103788614839772, -0.10917796366320888, 0.13403032463535947, -0.1788457364790067, -0.24769885360069996, 0.36738775634505555, 0.06082837231224403, 0.17145769842812475, 0.19994583975892724, 0.181151294799627, 0.06312593701075903, 0.18455131990694493, 0.04264697692585441, 0.12039377600095182, 0.2985648267181977, -0.018468492717113136, -0.13505760086524599, -0.048148167161446695, 0.28070111231843253]
|
706.1397
|
Towards A Realistic Grand Gauge-Higgs Unification
|
We investigate a 5D SU(6) grand gauge-Higgs unification model compactified on
an orbifold S^1/Z_2. Ordinary quarks and leptons, together with right-handed
neutrinos, are just accommodated into a minimal set of representations of the
gauge group, without introducing any exotic states. The proton decay turns out
to be forbidden at least at the tree level. We also find a correct electroweak
symmetry breaking SU(2)_L \times U(1)_Y \to U(1)_{em} is easily realized by
introducing suitable number of adjoint fermions.
|
hep-ph
|
we investigate a 5d su6 grand gaugehiggs unification model compactified on an orbifold s1z_2 ordinary quarks and leptons together with righthanded neutrinos are just accommodated into a minimal set of representations of the gauge group without introducing any exotic states the proton decay turns out to be forbidden at least at the tree level we also find a correct electroweak symmetry breaking su2_l times u1_y to u1_em is easily realized by introducing suitable number of adjoint fermions
|
[['we', 'investigate', 'a', '5d', 'su6', 'grand', 'gaugehiggs', 'unification', 'model', 'compactified', 'on', 'an', 'orbifold', 's1z_2', 'ordinary', 'quarks', 'and', 'leptons', 'together', 'with', 'righthanded', 'neutrinos', 'are', 'just', 'accommodated', 'into', 'a', 'minimal', 'set', 'of', 'representations', 'of', 'the', 'gauge', 'group', 'without', 'introducing', 'any', 'exotic', 'states', 'the', 'proton', 'decay', 'turns', 'out', 'to', 'be', 'forbidden', 'at', 'least', 'at', 'the', 'tree', 'level', 'we', 'also', 'find', 'a', 'correct', 'electroweak', 'symmetry', 'breaking', 'su2_l', 'times', 'u1_y', 'to', 'u1_em', 'is', 'easily', 'realized', 'by', 'introducing', 'suitable', 'number', 'of', 'adjoint', 'fermions']]
|
[-0.143327984759318, 0.3412886264799359, -0.043718757730751456, 0.20640472754043854, -0.11550612854011592, -0.23436265671852516, 0.03981811938771083, 0.3550050386632853, -0.1727086647546717, -0.2761944823039623, 0.03844745611082521, -0.23162238876782842, 0.022841112549090152, -0.006523141108283942, 0.025808454696814736, -0.019049196540341748, -0.024311522106555374, 0.030652452453777387, -0.1252650293255491, -0.290666356419709, 0.2954818002468386, -0.022282376939842065, 0.22408946911961614, 0.04085861073274698, 0.15167472799393264, -0.02589997517356238, 0.052936672353996087, -0.12919411167212122, -0.02259605386530279, 0.07558545451112357, 0.16022276869890364, 0.016977038173996782, 0.07487979337464196, -0.4604638802468196, -0.16645727834857807, 0.185363003965951, 0.1815332771557105, 0.11322177027037682, -0.026709032201135605, -0.3912807595371813, 0.11721087478149633, -0.2169704552401196, -0.15252362745179032, -0.09598810563178418, -0.1184755065901713, -0.23036135222714443, -0.3396236477782587, 0.0069539615058176844, -0.06639329521832141, 0.07508808860627862, 0.03821140108630061, -0.13486661280614215, -0.12701365690037317, -0.04629627709555161, 0.21115911350579472, 0.029602427494049968, 0.14770581581865666, -0.18317036048884128, -0.1702410564576457, 0.4682679453792123, -0.07465805361265099, -0.2063830571926453, 0.11529786096486662, -0.10468423073996438, -0.20566598673701866, 0.14263098855055384, 0.1140839496518594, 0.06626100241896007, -0.1398992698712202, 0.23295527697743412, -0.11356952410288058, 0.17787164764617897, 0.08711693853793012, 0.019266221040327634, 0.30283844928172504, 0.20158477618613027, 0.06948528902048802, 0.028298347932891314, 0.046764525853992475, -0.08259123441001232, -0.470278291128479, -0.13524420161477543, -0.060336738350111746, 0.14618293278209574, -0.10993727195577835, -0.06689037209642786, 0.43336148316935674, 0.0736345833699618, 0.22674065678344144, 0.03540228861202667, 0.1920648346921163, 0.07948237185101116, 0.14312101834054505, 0.01800718702762932, 0.19256535867325864, 0.1123204653169476, -0.029908621319351937, -0.22940685176109146, -0.11352161416638788, 0.22525517858395522]
|
706.1398
|
BGG correspondence for toric complete intersections
|
We generalize the classical Bernstein-Gelfand-Gelfand correspondence to
complete intersections in toric varieties.
|
math.RT math.AG
|
we generalize the classical bernsteingelfandgelfand correspondence to complete intersections in toric varieties
|
[['we', 'generalize', 'the', 'classical', 'bernsteingelfandgelfand', 'correspondence', 'to', 'complete', 'intersections', 'in', 'toric', 'varieties']]
|
[-0.19015201747727892, -0.13491592983094355, -0.09044738921026389, 0.22040949078897634, -0.13659654992322126, -0.16852780788516006, -0.049647435545921326, 0.283411483746022, -0.3152996450662613, -0.1196716248523444, 0.019288306434949238, -0.23272394854575396, -0.16686511606288454, 0.11437317046026389, -0.4041136037558317, -0.03482255277534326, 0.05397799238562584, -0.04103868268430233, -0.194409204646945, -0.45245154698689777, 0.48708253478010494, -0.08575858889768521, 0.31629162716368836, 0.10470016376348212, 0.021798746660351753, 0.09379079631374528, 0.017805560026317835, -0.02178661711513996, -0.21010676429917416, 0.18344580692549547, 0.5161268974964818, 0.10204581206198782, -0.06232532455275456, -0.4756487011909485, -0.11061017292862137, 0.2866893721123536, 0.1069524319221576, 0.1698092220661541, 0.11477607519676288, -0.2312038273861011, 0.07121036838119228, -0.13515740528237075, -0.28996463228637975, -0.12118139552573363, -0.030835430991525452, 0.054393417512377105, -0.14074671214135984, -0.08197810097287099, 0.16539968131110072, 0.27156828755202395, -0.022660089656710625, 0.018315910051266353, -0.11914918602754672, 0.05145706112186114, -0.1777822325627009, 0.021425504586659372, 0.004650643134179215, -0.08292875501016776, -0.2678073492522041, 0.30498266499489546, -0.02684115428322305, -0.2544298206145565, 0.2049662130108724, -0.16538257834812006, -0.15962983978291354, 0.133062440281113, 0.061902364095052086, 0.25391757239898044, 0.07662317932893832, 0.15575666849811873, -0.18980811101694903, -0.1445128032937646, 0.17809644993394613, -0.02744846340889732, 0.14806038902800842, 0.006846615268538396, -0.0032500268425792456, 0.22905773048599562, 0.0881196524327, -0.1935204577166587, -0.3788747675716877, -0.20691248557219902, -0.018741094662497442, 0.2791939110805591, -0.10769443896909554, -0.13548045481244722, 0.39701104039947194, 0.08735010161277994, 0.23566196175913015, 0.17945191613398492, 0.2667177173619469, -0.13036746298894286, 0.0077874876248339815, 0.014600584904352823, 0.1212313324213028, 0.3825376983731985, -0.055581218718240656, -0.07972265787733097, -0.1869965080792705, 0.3769442227203399]
|
706.1399
|
Duality and Stability Regions of Multi-rate Broadcast and Multiple
Access Networks
|
We characterize stability regions of two-user fading Gaussian multiple access
(MAC) and broadcast (BC) networks with centralized scheduling. The data to be
transmitted to the users is encoded into codewords of fixed length. The rates
of the codewords used are restricted to a fixed set of finite cardinality. With
successive decoding and interference cancellation at the receivers, we find the
set of arrival rates that can be stabilized over the MAC and BC networks. In
MAC and BC networks with average power constraints, we observe that the duality
property that relates the MAC and BC information theoretic capacity regions
extend to their stability regions as well. In MAC and BC networks with peak
power constraints, the union of stability regions of dual MAC networks is found
to be strictly contained in the BC stability region.
|
cs.IT math.IT
|
we characterize stability regions of twouser fading gaussian multiple access mac and broadcast bc networks with centralized scheduling the data to be transmitted to the users is encoded into codewords of fixed length the rates of the codewords used are restricted to a fixed set of finite cardinality with successive decoding and interference cancellation at the receivers we find the set of arrival rates that can be stabilized over the mac and bc networks in mac and bc networks with average power constraints we observe that the duality property that relates the mac and bc information theoretic capacity regions extend to their stability regions as well in mac and bc networks with peak power constraints the union of stability regions of dual mac networks is found to be strictly contained in the bc stability region
|
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|
[-0.26813162632148574, 0.052269788360205925, -0.05089157004668205, 0.01212506448953516, -0.028988801084320854, -0.23300749336334842, 0.12819116353057325, 0.3909780388732475, -0.3341435046383628, -0.20031407347845812, 0.12011124906906237, -0.2337138757523563, -0.10665085922616223, 0.0983696547060929, -0.10512059372526386, 0.04943050405493489, -0.0033465821640910926, 0.07684798515229313, -0.04517776500606151, -0.31208869583076904, 0.3043258770058552, 0.09854705754529547, 0.3372696025779954, 0.031446211177993705, 0.03014499681863796, -0.0021351067797729262, -0.010182174798791055, -0.014505069882229523, -0.12221807814284047, 0.07031014762404893, 0.2888602028756092, 0.20113158896565436, 0.19837931133806705, -0.38390906795307445, -0.29384049985782, 0.11721427228508724, 0.1844083526508055, 0.02278321644084321, 0.026933523603818482, -0.26412868075141754, 0.19200414782734931, -0.19644728148425067, -0.002062522554425178, 0.05626202376766337, -0.1010750829414637, 0.07136999112726361, -0.37780664953644627, 0.02388493760868355, -0.013961157181162248, 0.045992367471464804, -0.06899983256460271, -0.1133239976302893, -0.015135558882590246, 0.178875025358327, 0.005980493938895287, -0.006634038625526483, 0.08773235117464706, -0.09381407070818737, -0.12887486151195374, 0.34245025596960826, 0.009953200791238083, -0.19749025698682224, 0.15731883456378623, -0.11386876808548416, -0.07592339034244004, 0.18430147318652382, 0.22616468958418678, 0.04163579943382906, -0.13636596271837198, 0.026181819666763424, -0.03431922739923552, 0.16643393906868167, 0.12990979796827393, 0.16724327316473203, 0.1449997832468297, 0.10722077570303723, 0.12932074597726265, 0.18957222363204454, -0.10008329980903202, -0.1595233671643116, -0.271702318273364, -0.07029436844642516, -0.1487937471518914, -0.01364328497675834, -0.11327272719052552, -0.10072770945175931, 0.3457835397096696, 0.07239612092919372, 0.18250869634319786, 0.13487154008751667, 0.33792417689605997, 0.05783272528938983, 0.0937836092500085, 0.19071130489378615, 0.16929301865122937, 0.20326345822066758, 0.12681575094536163, -0.1761942986054001, 0.08185293829172022, 0.009354816908361735]
|
706.14
|
Electronic structure of NaWO$_3$: Role of the impurity potential
|
We have performed {\it ab-initio} electronic structure calculations to
determine the evolution of the electronic structure of WO$_3$ with Na doping.
Na doping introduces an additional electron when introduced into WO$_3$. The
ensuing electronic structure of Na doped WO$_3$, we find, is very similar to
the electronic structure of an electron introduced into WO$_3$, thus clarifying
the role of the impurity potential due to Na. While the electronic structure of
NaWO$_3$ allows a rigid band like description over a certain energy range,
modifications introduced in the electronic structure can be related back to the
electron due to Na and not the impurity potential that one generally believes
to be responsible.
|
cond-mat.mtrl-sci
|
we have performed it abinitio electronic structure calculations to determine the evolution of the electronic structure of wo_3 with na doping na doping introduces an additional electron when introduced into wo_3 the ensuing electronic structure of na doped wo_3 we find is very similar to the electronic structure of an electron introduced into wo_3 thus clarifying the role of the impurity potential due to na while the electronic structure of nawo_3 allows a rigid band like description over a certain energy range modifications introduced in the electronic structure can be related back to the electron due to na and not the impurity potential that one generally believes to be responsible
|
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|
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|
706.1401
|
Controlling for individual heterogeneity in longitudinal models, with
applications to student achievement
|
Longitudinal data tracking repeated measurements on individuals are highly
valued for research because they offer controls for unmeasured individual
heterogeneity that might otherwise bias results. Random effects or mixed models
approaches, which treat individual heterogeneity as part of the model error
term and use generalized least squares to estimate model parameters, are often
criticized because correlation between unobserved individual effects and other
model variables can lead to biased and inconsistent parameter estimates.
Starting with an examination of the relationship between random effects and
fixed effects estimators in the standard unobserved effects model, this article
demonstrates through analysis and simulation that the mixed model approach has
a ``bias compression'' property under a general model for individual
heterogeneity that can mitigate bias due to uncontrolled differences among
individuals. The general model is motivated by the complexities of longitudinal
student achievement measures, but the results have broad applicability to
longitudinal modeling.
|
stat.AP
|
longitudinal data tracking repeated measurements on individuals are highly valued for research because they offer controls for unmeasured individual heterogeneity that might otherwise bias results random effects or mixed models approaches which treat individual heterogeneity as part of the model error term and use generalized least squares to estimate model parameters are often criticized because correlation between unobserved individual effects and other model variables can lead to biased and inconsistent parameter estimates starting with an examination of the relationship between random effects and fixed effects estimators in the standard unobserved effects model this article demonstrates through analysis and simulation that the mixed model approach has a bias compression property under a general model for individual heterogeneity that can mitigate bias due to uncontrolled differences among individuals the general model is motivated by the complexities of longitudinal student achievement measures but the results have broad applicability to longitudinal modeling
|
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|
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|
706.1402
|
Analyzing Design Process and Experiments on the AnITA Generic Tutoring
System
|
In the field of tutoring systems, investigations have shown that there are
many tutoring systems specific to a specific domain that, because of their
static architecture, cannot be adapted to other domains. As consequence, often
neither methods nor knowledge can be reused. In addition, the knowledge
engineer must have programming skills in order to enhance and evaluate the
system. One particular challenge is to tackle these problems with the
development of a generic tutoring system. AnITA, as a stand-alone application,
has been developed and implemented particularly for this purpose. However, in
the testing phase, we discovered that this architecture did not fully match the
user's intuitive understanding of the use of a learning tool. Therefore, AnITA
has been redesigned to exclusively work as a client/server application and
renamed to AnITA2. This paper discusses the evolvements made on the AnITA
tutoring system, the goal of which is to use generic principles for system
re-use in any domain. Two experiments were conducted, and the results are
presented in this paper.
|
cs.CY cs.HC
|
in the field of tutoring systems investigations have shown that there are many tutoring systems specific to a specific domain that because of their static architecture cannot be adapted to other domains as consequence often neither methods nor knowledge can be reused in addition the knowledge engineer must have programming skills in order to enhance and evaluate the system one particular challenge is to tackle these problems with the development of a generic tutoring system anita as a standalone application has been developed and implemented particularly for this purpose however in the testing phase we discovered that this architecture did not fully match the users intuitive understanding of the use of a learning tool therefore anita has been redesigned to exclusively work as a clientserver application and renamed to anita2 this paper discusses the evolvements made on the anita tutoring system the goal of which is to use generic principles for system reuse in any domain two experiments were conducted and the results are presented in this paper
|
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|
[-0.09228645671858915, 0.03752079904692883, -0.08648383075477344, 0.04418881692990527, -0.14578764617978457, -0.1571099187225148, -0.0005802543831063423, 0.4062899032016536, -0.23305763099286816, -0.33705532704730945, 0.17316311961290856, -0.23107303491888379, -0.20205247610483965, 0.22142804640032976, -0.1036019981141665, 0.06432598409337734, 0.0792196571693092, 0.04584395942490124, -0.03833504404449518, -0.2533147958425169, 0.3081610713260036, 0.050283679476532034, 0.28979643721490383, 0.07264180562297205, 0.06070003268716043, -0.024982338104798586, -0.0039098761546353025, 0.01655217165665556, -0.06697159016592544, 0.1237758745881877, 0.3459720926325835, 0.19088964123546542, 0.31633200723689026, -0.44515153747484154, -0.22412860733707865, 0.09807230940947455, 0.18281991906815437, 0.10466824267491766, -0.06682678532276391, -0.275260321857285, 0.11523436503707916, -0.2240845234730019, -0.10661675329989347, -0.11819281493185345, -0.026716742956659528, -0.0020556322495525556, -0.2332921243568291, -0.07693027959394821, 0.09418678213842213, 0.07011623421828904, -0.05283019935132233, -0.0847036434592983, 0.05435314516698182, 0.19128130101124774, 0.03139844701575216, 0.05361500865093873, 0.10285133364593643, -0.08749223375949321, -0.16836184824811307, 0.3981307309544729, -0.02318338240415951, -0.21948997446609114, 0.26332821603306755, -0.08557352417394028, -0.1655182079133204, 0.05963145768476238, 0.228068466432822, 0.1044944219268903, -0.2378773956286336, 0.05649828170440132, 0.007193135733376006, 0.19126811909662214, 0.029195925364449263, 0.0017278951391979248, 0.20301929587765993, 0.20713515587647385, 0.035963657155596726, 0.11660130394512543, -0.025195693735222884, -0.07131903953738734, -0.23156248337539012, -0.17713845332855815, -0.20842850006960645, -0.00972315852771148, 0.05892540817114129, -0.14012680494998203, 0.3752523667630767, 0.19779755673416566, 0.1264091329593323, -0.010180205058635487, 0.3100377120256067, 0.06666849874790262, 0.12065188016904195, 0.05759107182081231, 0.24350722857143084, 0.03892103977875037, 0.1932284119204356, -0.15412449541719195, 0.10921718998293499, 0.00042882890713785937]
|
706.1403
|
Spin Coulomb drag beyond the random phase approximation
|
We study the spin Coulomb drag in a quasi-two-dimensional electron gas beyond
the random phase approximation (RPA). We find that the finite transverse width
of the electron gas causes a significant reduction of the spin Coulomb drag.
This reduction, however, is largely compensated by the enhancement coming from
the inclusion of many-body local field effects beyond the RPA, thereby
restoring good agreement with the experimental observations by C. P. Weber
\textit{et al.}, Nature, \textbf{437}, 1330 (2005).
|
cond-mat.mes-hall
|
we study the spin coulomb drag in a quasitwodimensional electron gas beyond the random phase approximation rpa we find that the finite transverse width of the electron gas causes a significant reduction of the spin coulomb drag this reduction however is largely compensated by the enhancement coming from the inclusion of manybody local field effects beyond the rpa thereby restoring good agreement with the experimental observations by c p weber textitet al nature textbf437 1330 2005
|
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|
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|
706.1404
|
Rate of Convergence of Space Time Approximations for stochastic
evolution equations
|
Stochastic evolution equations in Banach spaces with unbounded nonlinear
drift and diffusion operators driven by a finite dimensional Brownian motion
are considered. Under some regularity condition assumed for the solution, the
rate of convergence of various numerical approximations are estimated under
strong monotonicity and Lipschitz conditions. The abstract setting involves
general consistency conditions and is then applied to a class of quasilinear
stochastic PDEs of parabolic type.
|
math.PR
|
stochastic evolution equations in banach spaces with unbounded nonlinear drift and diffusion operators driven by a finite dimensional brownian motion are considered under some regularity condition assumed for the solution the rate of convergence of various numerical approximations are estimated under strong monotonicity and lipschitz conditions the abstract setting involves general consistency conditions and is then applied to a class of quasilinear stochastic pdes of parabolic type
|
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|
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|
706.1405
|
The absolute order on the symmetric group, constructible partially
ordered sets and Cohen-Macaulay complexes
|
The absolute order is a natural partial order on a Coxeter group W. It can be
viewed as an analogue of the weak order on W in which the role of the
generating set of simple reflections in W is played by the set of all
reflections in W. By use of a notion of constructibility for partially ordered
sets, it is proved that the absolute order on the symmetric group is homotopy
Cohen-Macaulay. This answers in part a question raised by V. Reiner and the
first author. The Euler characteristic of the order complex of the proper part
of the absolute order on the symmetric group is also computed.
|
math.CO
|
the absolute order is a natural partial order on a coxeter group w it can be viewed as an analogue of the weak order on w in which the role of the generating set of simple reflections in w is played by the set of all reflections in w by use of a notion of constructibility for partially ordered sets it is proved that the absolute order on the symmetric group is homotopy cohenmacaulay this answers in part a question raised by v reiner and the first author the euler characteristic of the order complex of the proper part of the absolute order on the symmetric group is also computed
|
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|
[-0.15878893656825477, 0.10779005999965276, -0.05950989902696826, 0.03895724582993849, -0.08946348562074656, -0.025406669435853308, 0.028756580891256982, 0.3352107276632027, -0.3192065277560191, -0.2702589118726213, 0.12100309115749869, -0.2522014782996848, -0.11816871072250333, 0.1786327301693911, -0.08983091835609891, -0.00750421889083968, 0.009318412408571352, 0.1296564322155477, -0.037676504921083424, -0.30966723038052973, 0.41011740487407555, -0.01767620630985634, 0.20666842462897791, 0.02977273254231973, 0.11431393695741214, 0.02314867706207389, -0.052129110520366916, 0.04534903654659336, -0.09790964429088159, 0.12626270874964327, 0.2389305588619953, 0.039965144197710536, 0.2710588399998166, -0.3090269053481858, -0.13364753493700515, 0.12755844482136044, 0.08249683298001236, 0.04455840559782122, -0.027115169154818763, -0.30239914052865724, 0.14104438645934517, -0.1691807439635423, -0.13938055632805282, -0.03317120024849746, 0.07757869684560732, -0.017606759613210506, -0.2581844113089822, 0.012941588979711842, 0.1397572499615225, 0.08447619812901724, -0.004484684934670275, -0.09308941351588476, -0.03205036484340036, 0.12604744866998357, -0.01548518514980308, 0.06393587271344256, 0.02264992828819562, -0.09911735724784773, -0.1201341525778513, 0.4454574984582988, -0.0696874275359071, -0.1991895610805262, 0.13644302782009948, -0.15622612308626146, -0.09519626467213542, 0.13205989171031185, 0.11544328009371053, 0.14328942322595553, -0.0541792211884802, 0.1446391665710094, -0.12980167005549778, 0.11496679605069486, 0.11175810959698125, -0.017242140699685975, 0.12960350956259803, 0.11171022163365375, 0.0948061104355888, 0.11608332523927939, -0.004021330550312996, -0.003522574363953688, -0.35793862505392593, -0.21576774653724648, -0.178688758070877, 0.09611680362669921, -0.06246493444262093, -0.15261555891484022, 0.41302553449164736, 0.07954850478775122, 0.19397653679109433, 0.006565782318780707, 0.21803474190898917, 0.13427321038510523, 0.039595453342719175, 0.006439815025607293, 0.14957192555831914, 0.199223061860539, 0.013923379965126515, -0.19272641502744095, 0.1006883336908438, 0.1952086349017918]
|
706.1406
|
Jordan structures and non-associative geometry
|
In this survey paper we give an overview over constructions of geometries
associated to Jordan structures (algebras, triple systems and pairs), featuring
analogs of these constructions with the Lie functor on the one hand and with
the approach of non-commutative geometry on the other hand.
|
math.RA
|
in this survey paper we give an overview over constructions of geometries associated to jordan structures algebras triple systems and pairs featuring analogs of these constructions with the lie functor on the one hand and with the approach of noncommutative geometry on the other hand
|
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|
[-0.14842350207683114, -0.0021597748696674697, -0.07731601192305486, 0.02119439167436212, -0.10283949772516886, -0.14116384004139237, -0.04867691919983675, 0.3604568872186873, -0.2767790553884374, -0.2790286812517378, 0.13695991225281937, -0.2687846726543891, -0.19103726351426709, 0.27368439762956565, -0.12430269258717695, -0.08988809941543473, 0.04793023802340031, 0.08756116040878825, -0.15346274400750795, -0.26512899858256184, 0.463785351647271, 0.023085794447817738, 0.21830225753494434, 0.005323679258839952, 0.08727620518766344, 0.008453640196886327, -0.04654855752984683, -0.013073741044435237, -0.2003055739733908, 0.20973966903984548, 0.24382816280962694, 0.062007566458649105, 0.14319284367892476, -0.4082389050059848, -0.09635791905845205, 0.1193780401100715, 0.12044460393695368, 0.08351414261592759, -0.03468922147423857, -0.28285602546400496, 0.027172156340546077, -0.18193220471342406, -0.10130578215337462, -0.01812509646018346, 0.00807609051052067, 0.039256022084090444, -0.1671640137417449, -0.020208468950457043, 0.09751333602600627, 0.11140531502250169, -0.11769602866843343, -0.09650276698586013, -0.009672319713152118, 0.041876664302415316, -0.040732016248835455, -0.031333760172128675, 0.08875291058793663, -0.08926552957855165, -0.21698066054119003, 0.3641890088717143, 0.00637505433211724, -0.19760791413072082, 0.2557705927433239, -0.14861316514304942, -0.19704484080688822, 0.06429524212920418, 0.14129752177331184, 0.14989684667024347, -0.05939488069464763, 0.14639549679381567, -0.058621893357485536, 0.05782662961218092, 0.0963278309131662, 0.1188508107016484, 0.21567655979759162, 0.11073360873593224, 0.053867498526556624, 0.1312139453793255, 0.00591459250362176, -0.12200218256976869, -0.3517377437816726, -0.140867962366772, -0.033471650361186926, 0.07836060383253628, -0.0669990111756811, -0.2085322509623236, 0.4177249353792932, 0.14837232660502195, 0.23680657550382117, 0.05983638736005459, 0.26985542780150557, 0.029600739230712256, 0.13347511326687203, -0.004857290515469181, 0.15048204577631422, 0.21289359405636787, 0.03132410566581206, -0.10756811767868284, -0.0765793114176227, 0.16837603878229856]
|
706.1407
|
Absolute continuity of the measures of the Dunkl intetwining operator
and its dualand applications
|
In this paper we consider the representing measures $\mu_{x},x\in
\QTR{Bbb}{R}^{d}$, and $\nu_{y},y\in \QTR{Bbb}{R}^{d}$, of the Dunkl
intertwining operator and of its dual. When the multiplicity function is
positive, we prove that for all $x\in \QTR{Bbb}{R}_{\QTO{mbox}{reg}}^{d}$ we
have $d\mu_{x}(y)=\QTR{cal}{K}(x,y)dy$ and for almost all $y\in
\QTR{Bbb}{R}^{d}$ we have $d\nu_{y}(x)=\QTR{cal}{K}(x,y)\omega_{k}(x)dx,$ where
$\QTR{cal}{K}(x,.)$ is a positive integrable function on $\QTR{Bbb}{R}^{d}$
with support in $\{y\in \QTR{Bbb}{R}^{d}/\Vert y\Vert \leq \Vert x\Vert \}$ and
the function $\QTR{cal}{K}(.,y)$ is locally integrable on $\QTR{Bbb}{R}^{d}$
with respect to the measure $\omega_{k}(x)dx$ and with support in $\{x\in
\QTR{Bbb}{R}^{d}/\Vert x\Vert \geq \Vert y\Vert \}$. Next we present some
applications of this result.
|
math.FA math.CA
|
in this paper we consider the representing measures mu_xxin qtrbbbrd and nu_yyin qtrbbbrd of the dunkl intertwining operator and of its dual when the multiplicity function is positive we prove that for all xin qtrbbbr_qtomboxregd we have dmu_xyqtrcalkxydy and for almost all yin qtrbbbrd we have dnu_yxqtrcalkxyomega_kxdx where qtrcalkx is a positive integrable function on qtrbbbrd with support in yin qtrbbbrdvert yvert leq vert xvert and the function qtrcalky is locally integrable on qtrbbbrd with respect to the measure omega_kxdx and with support in xin qtrbbbrdvert xvert geq vert yvert next we present some applications of this result
|
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|
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|
706.1408
|
Sensitivity of principal Hessian direction analysis
|
We provide sensitivity comparisons for two competing versions of the
dimension reduction method principal Hessian directions (pHd). These
comparisons consider the effects of small perturbations on the estimation of
the dimension reduction subspace via the influence function. We show that the
two versions of pHd can behave completely differently in the presence of
certain observational types. Our results also provide evidence that outliers in
the traditional sense may or may not be highly influential in practice. Since
influential observations may lurk within otherwise typical data, we consider
the influence function in the empirical setting for the efficient detection of
influential observations in practice.
|
stat.ME
|
we provide sensitivity comparisons for two competing versions of the dimension reduction method principal hessian directions phd these comparisons consider the effects of small perturbations on the estimation of the dimension reduction subspace via the influence function we show that the two versions of phd can behave completely differently in the presence of certain observational types our results also provide evidence that outliers in the traditional sense may or may not be highly influential in practice since influential observations may lurk within otherwise typical data we consider the influence function in the empirical setting for the efficient detection of influential observations in practice
|
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|
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|
706.1409
|
A Proof of a Recursion for Bessel Moments
|
We provide a proof of a conjecture in (Bailey, Borwein, Borwein, Crandall
2007) on the existence and form of linear recursions for moments of powers of
the Bessel function $K_0$.
|
cs.SC math.CA
|
we provide a proof of a conjecture in bailey borwein borwein crandall 2007 on the existence and form of linear recursions for moments of powers of the bessel function k_0
|
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|
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|
706.141
|
Evolutionary Mesh Numbering: Preliminary Results
|
Mesh numbering is a critical issue in Finite Element Methods, as the
computational cost of one analysis is highly dependent on the order of the
nodes of the mesh. This paper presents some preliminary investigations on the
problem of mesh numbering using Evolutionary Algorithms. Three conclusions can
be drawn from these experiments. First, the results of the up-to-date method
used in all FEM softwares (Gibb's method) can be consistently improved; second,
none of the crossover operators tried so far (either general or problem
specific) proved useful; third, though the general tendency in Evolutionary
Computation seems to be the hybridization with other methods (deterministic or
heuristic), none of the presented attempt did encounter any success yet. The
good news, however, is that this algorithm allows an improvement over the
standard heuristic method between 12% and 20% for both the 1545 and 5453-nodes
meshes used as test-bed. Finally, some strange interaction between the
selection scheme and the use of problem specific mutation operator was
observed, which appeals for further investigation.
|
cs.NA cs.NE math.NA math.OC
|
mesh numbering is a critical issue in finite element methods as the computational cost of one analysis is highly dependent on the order of the nodes of the mesh this paper presents some preliminary investigations on the problem of mesh numbering using evolutionary algorithms three conclusions can be drawn from these experiments first the results of the uptodate method used in all fem softwares gibbs method can be consistently improved second none of the crossover operators tried so far either general or problem specific proved useful third though the general tendency in evolutionary computation seems to be the hybridization with other methods deterministic or heuristic none of the presented attempt did encounter any success yet the good news however is that this algorithm allows an improvement over the standard heuristic method between 12 and 20 for both the 1545 and 5453nodes meshes used as testbed finally some strange interaction between the selection scheme and the use of problem specific mutation operator was observed which appeals for further investigation
|
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|
[-0.05730400752265029, 0.04078954189235392, -0.10392575401500492, 0.07388034369029707, -0.10394796130002036, -0.15706181790244705, 0.07806884095945513, 0.3983549190752074, -0.24362015556320996, -0.3402620082732268, 0.12192621360976294, -0.2549992900127914, -0.14524364418456118, 0.19689315740955982, -0.06378263073208641, 0.08599431397014125, 0.10003665289465159, 0.038329510993469214, -0.06592796904956476, -0.28401171225318295, 0.3083831017542753, 0.05391556881702767, 0.27638412997528106, 0.06311349736660452, 0.05385677182271764, -0.042335614714001914, -0.06194197477335055, 0.05029139575105116, -0.10845300608788078, 0.11602024667885263, 0.2598392515583382, 0.14823033896966387, 0.31001994008767214, -0.40532958620188836, -0.19293886964616483, 0.10932680947321305, 0.18224625757750415, 0.1403951086459436, -0.05588893932123072, -0.2392003064094011, 0.09511527379843668, -0.16918184292592628, -0.10391324227066706, -0.07927474346775897, -0.0353238705421624, 0.022115471089693778, -0.2533537177034392, 0.035862674794444244, 0.05066627239450132, 0.061477885174447904, -0.04618861087671799, -0.16093138576914628, 0.024427425343271247, 0.15145807770676187, 0.03643015311601499, 0.05314486447587877, 0.07282553316222247, -0.06972174485030021, -0.14544113796179234, 0.4048272518184549, -0.03138924930432901, -0.2209078629053627, 0.20687437580457838, -0.08678320412730385, -0.15763791026491783, 0.11907000099113602, 0.1492268609379357, 0.14187653627369307, -0.15033863103407585, 0.0487801547313505, -0.009613345014656376, 0.1751410136456618, 0.04006554661904222, -0.03154047952705582, 0.1442777377659243, 0.19347864780909643, 0.07898855090077163, 0.07879455405682002, -0.06767132174234815, -0.09336292739082017, -0.2770104460727736, -0.13158468753489816, -0.1929728225309926, -0.00901967052071952, -0.12276650836921651, -0.15388265682640903, 0.36941071532179676, 0.200532181570648, 0.14925980808291428, 0.027564598511608907, 0.3044221796943042, 0.0845047721101116, 0.06987719730234253, 0.0691022464313996, 0.2177812391867677, 0.08241310434047869, 0.12208099155421899, -0.2044335629313161, 0.1024078221512055, 0.08349292106301842]
|
706.1411
|
Finite size effects and 2-string deviations in the spin-1 XXZ chains
|
In an earlier work [1] J. Suzuki proposed a set of nonlinear integral
equations (NLIE) to describe the excited state spectrum of the integrable
spin-1 XXZ chain in its repulsive regime. In this paper we extend his equations
for the attractive regime of the model, and calculate analytically the
conformal spectrum of the spin chain. We also discuss the typical root
configurations of the thermodynamic limit as well as the 2-string deviations of
certain excited states of the model. Special objects appearing in the NLIE are
also treated with special care.
|
hep-th
|
in an earlier work 1 j suzuki proposed a set of nonlinear integral equations nlie to describe the excited state spectrum of the integrable spin1 xxz chain in its repulsive regime in this paper we extend his equations for the attractive regime of the model and calculate analytically the conformal spectrum of the spin chain we also discuss the typical root configurations of the thermodynamic limit as well as the 2string deviations of certain excited states of the model special objects appearing in the nlie are also treated with special care
|
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|
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|
706.1412
|
The Alignments of the Galaxy Spins with the Real-Space Tidal Field
Reconstructed from the Two Mass Redshift Survey
|
We report a direct observational evidence for the existence of the galaxy
spin alignments with the real space tidal field. We calculate the real space
tidal field from the real space density field reconstructed recently from the
Two Mass Redshift Survey (2MRS) by Erdogdu et al. in 2006. Using a total of
12122 nearby spiral galaxies from the Tully Galaxy Catalog, we calculate the
orientations of their spin axes relative to the 2MRS tidal field. We find a
clear signal of the intrinsic correlations between the galaxy spins and the
intermediate principal axes of the tidal shears. The null hypothesis of no
correlation is rejected at 99.99 % confidence level. We also investigate the
dependence of the intrinsic correlations on the galaxy morphological type and
the environment. It is found that (i) the intrinsic correlation depends weakly
on the morphological type of the spiral galaxies but tends to decrease slightly
as the type increases; (ii) it is stronger in the high-density regions than in
the low-density regions. The observational result is quantitatively consistent
with analytic prediction based on the tidal torque theory. It is concluded that
the galaxy spin orientations may provide in principle a new complimentary probe
of the dark matter distribution.
|
astro-ph
|
we report a direct observational evidence for the existence of the galaxy spin alignments with the real space tidal field we calculate the real space tidal field from the real space density field reconstructed recently from the two mass redshift survey 2mrs by erdogdu et al in 2006 using a total of 12122 nearby spiral galaxies from the tully galaxy catalog we calculate the orientations of their spin axes relative to the 2mrs tidal field we find a clear signal of the intrinsic correlations between the galaxy spins and the intermediate principal axes of the tidal shears the null hypothesis of no correlation is rejected at 9999 confidence level we also investigate the dependence of the intrinsic correlations on the galaxy morphological type and the environment it is found that i the intrinsic correlation depends weakly on the morphological type of the spiral galaxies but tends to decrease slightly as the type increases ii it is stronger in the highdensity regions than in the lowdensity regions the observational result is quantitatively consistent with analytic prediction based on the tidal torque theory it is concluded that the galaxy spin orientations may provide in principle a new complimentary probe of the dark matter distribution
|
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|
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|
706.1413
|
Evolutionary stability in quantum games
|
In evolutionary game theory an Evolutionarily Stable Strategy (ESS) is a
refinement of the Nash equilibrium concept that is sometimes also recognized as
evolutionary stability. It is a game-theoretic model, well known to
mathematical biologists, that was found quite useful in the understanding of
evolutionary dynamics of a population. This chapter presents an analysis of
evolutionary stability in the emerging field of quantum games.
|
quant-ph
|
in evolutionary game theory an evolutionarily stable strategy ess is a refinement of the nash equilibrium concept that is sometimes also recognized as evolutionary stability it is a gametheoretic model well known to mathematical biologists that was found quite useful in the understanding of evolutionary dynamics of a population this chapter presents an analysis of evolutionary stability in the emerging field of quantum games
|
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|
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|
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