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706.1614
|
Non-Cooperative Scheduling of Multiple Bag-of-Task Applications
|
Multiple applications that execute concurrently on heterogeneous platforms
compete for CPU and network resources. In this paper we analyze the behavior of
$K$ non-cooperative schedulers using the optimal strategy that maximize their
efficiency while fairness is ensured at a system level ignoring applications
characteristics. We limit our study to simple single-level master-worker
platforms and to the case where each scheduler is in charge of a single
application consisting of a large number of independent tasks. The tasks of a
given application all have the same computation and communication requirements,
but these requirements can vary from one application to another. In this
context, we assume that each scheduler aims at maximizing its throughput. We
give closed-form formula of the equilibrium reached by such a system and study
its performance. We characterize the situations where this Nash equilibrium is
optimal (in the Pareto sense) and show that even though no catastrophic
situation (Braess-like paradox) can occur, such an equilibrium can be
arbitrarily bad for any classical performance measure.
|
cs.DC cs.GT
|
multiple applications that execute concurrently on heterogeneous platforms compete for cpu and network resources in this paper we analyze the behavior of k noncooperative schedulers using the optimal strategy that maximize their efficiency while fairness is ensured at a system level ignoring applications characteristics we limit our study to simple singlelevel masterworker platforms and to the case where each scheduler is in charge of a single application consisting of a large number of independent tasks the tasks of a given application all have the same computation and communication requirements but these requirements can vary from one application to another in this context we assume that each scheduler aims at maximizing its throughput we give closedform formula of the equilibrium reached by such a system and study its performance we characterize the situations where this nash equilibrium is optimal in the pareto sense and show that even though no catastrophic situation braesslike paradox can occur such an equilibrium can be arbitrarily bad for any classical performance measure
|
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|
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|
706.1615
|
A mode elimination technique to improve convergence of iteration methods
for finding solitary waves
|
We extend the key idea behind the generalized Petviashvili method of Ref.
\cite{gP} by proposing a novel technique based on a similar idea. This
technique systematically eliminates from the iteratively obtained solution a
mode that is "responsible" either for the divergence or the slow convergence of
the iterations. We demonstrate, theoretically and with examples, that this mode
elimination technique can be used both to obtain some nonfundamental solitary
waves and to considerably accelerate convergence of various iteration methods.
As a collateral result, we compare the linearized iteration operators for the
generalized Petviashvili method and the well-known imaginary-time evolution
method and explain how their different structures account for the differences
in the convergence rates of these two methods.
|
nlin.PS
|
we extend the key idea behind the generalized petviashvili method of ref citegp by proposing a novel technique based on a similar idea this technique systematically eliminates from the iteratively obtained solution a mode that is responsible either for the divergence or the slow convergence of the iterations we demonstrate theoretically and with examples that this mode elimination technique can be used both to obtain some nonfundamental solitary waves and to considerably accelerate convergence of various iteration methods as a collateral result we compare the linearized iteration operators for the generalized petviashvili method and the wellknown imaginarytime evolution method and explain how their different structures account for the differences in the convergence rates of these two methods
|
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|
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|
706.1616
|
Generalized DMPK equation for strongly localized regime - numerical
solution
|
Generalized Dorokhov-Mello-Pereyra-Kumar (GDMPK) equation [K. A. Muttalib and
J. R. Klauder, Phys. Rev. Lett. {\bf 82}, 4272 (1999)] has been proposed for
the description of the electron transport in strongly localized systems. We
develop an algorithm for the numerical solution of this equation and confirm
that GDMPK equation correctly describes the critical and localized regimes.
Contrary to the original DMPK equation, the generalized one contains also an
information about the dimension of the system. In particular, it distinguishes
between the two and the three dimensional models with the same number of
transmission channels.
|
cond-mat.mes-hall
|
generalized dorokhovmellopereyrakumar gdmpk equation k a muttalib and j r klauder phys rev lett bf 82 4272 1999 has been proposed for the description of the electron transport in strongly localized systems we develop an algorithm for the numerical solution of this equation and confirm that gdmpk equation correctly describes the critical and localized regimes contrary to the original dmpk equation the generalized one contains also an information about the dimension of the system in particular it distinguishes between the two and the three dimensional models with the same number of transmission channels
|
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|
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|
706.1617
|
Relative Strength of Strategy Elimination Procedures
|
We compare here the relative strength of four widely used procedures on
finite strategic games: iterated elimination of weakly/strictly dominated
strategies by a pure/mixed strategy. A complication is that none of these
procedures is based on a monotonic operator. To deal with this problem we use
'global' versions of these operators.
|
cs.GT
|
we compare here the relative strength of four widely used procedures on finite strategic games iterated elimination of weaklystrictly dominated strategies by a puremixed strategy a complication is that none of these procedures is based on a monotonic operator to deal with this problem we use global versions of these operators
|
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|
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|
706.1618
|
The fluctuation spectra around a Gaussian classical solution of a tensor
model and the general relativity
|
Tensor models can be interpreted as theory of dynamical fuzzy spaces. In this
paper, I study numerically the fluctuation spectra around a Gaussian classical
solution of a tensor model, which represents a fuzzy flat space in arbitrary
dimensions. It is found that the momentum distribution of the low-lying
low-momentum spectra is in agreement with that of the metric tensor modulo the
general coordinate transformation in the general relativity at least in the
dimensions studied numerically, i.e. one to four dimensions. This result
suggests that the effective field theory around the solution is described in a
similar manner as the general relativity.
|
hep-th gr-qc
|
tensor models can be interpreted as theory of dynamical fuzzy spaces in this paper i study numerically the fluctuation spectra around a gaussian classical solution of a tensor model which represents a fuzzy flat space in arbitrary dimensions it is found that the momentum distribution of the lowlying lowmomentum spectra is in agreement with that of the metric tensor modulo the general coordinate transformation in the general relativity at least in the dimensions studied numerically ie one to four dimensions this result suggests that the effective field theory around the solution is described in a similar manner as the general relativity
|
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|
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|
706.1619
|
Alternative linear structures for classical and quantum systems
|
The possibility of deforming the (associative or Lie) product to obtain
alternative descriptions for a given classical or quantum system has been
considered in many papers. Here we discuss the possibility of obtaining some
novel alternative descriptions by changing the linear structure instead. In
particular we show how it is possible to construct alternative linear
structures on the tangent bundle TQ of some classical configuration space Q
that can be considered as "adapted" to the given dynamical system. This fact
opens the possibility to use the Weyl scheme to quantize the system in
different non equivalent ways, "evading", so to speak, the von Neumann
uniqueness theorem.
|
quant-ph
|
the possibility of deforming the associative or lie product to obtain alternative descriptions for a given classical or quantum system has been considered in many papers here we discuss the possibility of obtaining some novel alternative descriptions by changing the linear structure instead in particular we show how it is possible to construct alternative linear structures on the tangent bundle tq of some classical configuration space q that can be considered as adapted to the given dynamical system this fact opens the possibility to use the weyl scheme to quantize the system in different non equivalent ways evading so to speak the von neumann uniqueness theorem
|
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|
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|
706.162
|
High-quality all-oxide Schottky junctions fabricated on heavily Nb-doped
SrTiO3 substrates
|
We present a detailed investigation of the electrical properties of epitaxial
La0.7Sr0.3MnO3/SrTi0.98Nb0.02O3 Schottky junctions. A fabrication process that
allows reduction of the junction dimensions to current electronic device size
has been employed. A heavily doped semiconductor has been used as a substrate
in order to suppress its series resistance. We show that, unlike standard
semiconductors, high-quality oxide-based Schottky junctions maintain a highly
rectifying behavior for doping concentration of the semiconductor larger than
10^20 cm^(-3). Moreover, the junctions show hysteretic current-voltage
characteristics.
|
cond-mat.str-el
|
we present a detailed investigation of the electrical properties of epitaxial la07sr03mno3srti098nb002o3 schottky junctions a fabrication process that allows reduction of the junction dimensions to current electronic device size has been employed a heavily doped semiconductor has been used as a substrate in order to suppress its series resistance we show that unlike standard semiconductors highquality oxidebased schottky junctions maintain a highly rectifying behavior for doping concentration of the semiconductor larger than 1020 cm3 moreover the junctions show hysteretic currentvoltage characteristics
|
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|
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|
706.1621
|
Effective equidistribution of S-integral points on symmetric varieties
|
Let K be a global field of characteristic not 2. Let Z be a symmetric variety
defined over K and S a finite set of places of K. We obtain counting and
equidistribution results for the S-integral points of Z. Our results are
effective when K is a number field.
|
math.NT math.MG
|
let k be a global field of characteristic not 2 let z be a symmetric variety defined over k and s a finite set of places of k we obtain counting and equidistribution results for the sintegral points of z our results are effective when k is a number field
|
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|
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|
706.1622
|
Out-of-equilibrium tricritical point in a system with long-range
interactions
|
Systems with long-range interactions display a short-time relaxation towards
Quasi Stationary States (QSSs) whose lifetime increases with system size. With
reference to the Hamiltonian Mean Field (HMF) model, we here show that a
maximum entropy principle, based on Lynden-Bell's pioneering idea of "violent
relaxation", predicts the presence of out-of-equilibrium phase transitions
separating the relaxation towards homogeneous (zero magnetization) or
inhomogeneous (non zero magnetization) QSSs. When varying the initial condition
within a family of "water-bags" with different initial magnetization and
energy, first and second order phase transition lines are found that merge at
an out--of--equilibrium tricritical point. Metastability is theoretically
predicted and numerically checked around the first-order phase transition line.
|
cond-mat.stat-mech
|
systems with longrange interactions display a shorttime relaxation towards quasi stationary states qsss whose lifetime increases with system size with reference to the hamiltonian mean field hmf model we here show that a maximum entropy principle based on lyndenbells pioneering idea of violent relaxation predicts the presence of outofequilibrium phase transitions separating the relaxation towards homogeneous zero magnetization or inhomogeneous non zero magnetization qsss when varying the initial condition within a family of waterbags with different initial magnetization and energy first and second order phase transition lines are found that merge at an outofequilibrium tricritical point metastability is theoretically predicted and numerically checked around the firstorder phase transition line
|
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|
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|
706.1623
|
Angular momentum conservation and torsional oscillations in the Sun and
solar-like stars
|
The solar torsional oscillations, i.e., the perturbations of the angular
velocity of rotation associated with the eleven-year activity cycle, are a
manifestation of the interaction among the interior magnetic fields, amplified
and modulated by the solar dynamo, and rotation, meridional flow and turbulent
thermal transport. Therefore, they can be used, at least in principle, to put
constraints on that interaction. Similar phenomena are expected to be observed
in solar-like stars and can be modelled to shed light on analogous interactions
in different environments. The source of the torsional oscillations is
investigated by means of a model for the angular momentum transport within the
convection zone. A description of the torsional oscillations is introduced,
based on an analytical solution of the angular momentum equation in the
mean-field approach. It provides information on the intensity and location of
the torques producing the redistribution of the angular momentum within the
convection zone of the Sun along the activity cycle. The method can be extended
to solar-like stars for which some information on the time-dependence of the
differential rotation is becoming available. Illustrative applications to the
Sun and solar-like stars are presented. Under the hypothesis that the solar
torsional oscillations are due to the mean-field Lorentz force, the mean
amplitude of the Maxwell stresses and the phase relationship between poloidal
and toroidal field components are obtained. Our preliminary results show the
capability of the proposed approach to constrain the amplitude, phase and
location of the perturbations leading to the observed torsional oscillations.
|
astro-ph
|
the solar torsional oscillations ie the perturbations of the angular velocity of rotation associated with the elevenyear activity cycle are a manifestation of the interaction among the interior magnetic fields amplified and modulated by the solar dynamo and rotation meridional flow and turbulent thermal transport therefore they can be used at least in principle to put constraints on that interaction similar phenomena are expected to be observed in solarlike stars and can be modelled to shed light on analogous interactions in different environments the source of the torsional oscillations is investigated by means of a model for the angular momentum transport within the convection zone a description of the torsional oscillations is introduced based on an analytical solution of the angular momentum equation in the meanfield approach it provides information on the intensity and location of the torques producing the redistribution of the angular momentum within the convection zone of the sun along the activity cycle the method can be extended to solarlike stars for which some information on the timedependence of the differential rotation is becoming available illustrative applications to the sun and solarlike stars are presented under the hypothesis that the solar torsional oscillations are due to the meanfield lorentz force the mean amplitude of the maxwell stresses and the phase relationship between poloidal and toroidal field components are obtained our preliminary results show the capability of the proposed approach to constrain the amplitude phase and location of the perturbations leading to the observed torsional oscillations
|
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|
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|
706.1624
|
Some notes concerning the prediction of the amplitude of the two solar
activity cycles
|
The parameter G, which is determined from the general number of sunspots
groups Ng according to the daily observations G=Sum(1/Ng)^2, is offered. This
parameter is calculated for the days when there is at least one sunspots group.
It characterizes the minimum epoch solar activity. Parameter G mounts to the
maximum during the epoch close to the minimal activity of sunspots. According
too the data of the sequence of sunspots group in Greenwich-USAF/NOAA
observatory format, observation data of Kislovodsk solar station and also daily
Wolf number the changes of parameter G during 100 years were reconstructed. It
is demonstrated in the paper that parameter G's amplitude in minimal solar
activity n is linked with the sunspot cycle's amplitude Wn+1. The 24th activity
cycle prediction is calculated, which makes W24=135(+/-12).
|
astro-ph
|
the parameter g which is determined from the general number of sunspots groups ng according to the daily observations gsum1ng2 is offered this parameter is calculated for the days when there is at least one sunspots group it characterizes the minimum epoch solar activity parameter g mounts to the maximum during the epoch close to the minimal activity of sunspots according too the data of the sequence of sunspots group in greenwichusafnoaa observatory format observation data of kislovodsk solar station and also daily wolf number the changes of parameter g during 100 years were reconstructed it is demonstrated in the paper that parameter gs amplitude in minimal solar activity n is linked with the sunspot cycles amplitude wn1 the 24th activity cycle prediction is calculated which makes w2413512
|
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|
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|
706.1625
|
Small values of Lusternik-Schnirelmann and systolic categories for
manifolds
|
We prove that manifolds of Lusternik-Schnirelmann category 2 necessarily have
free fundamental group. We thus settle a 1992 conjecture of Gomez-Larranaga and
Gonzalez-Acuna, by generalizing their result in dimension 3, to all higher
dimensions. We examine its ramifications in systolic topology, and provide a
sufficient condition for ensuring a lower bound of 3 for systolic category.
|
math.AT math.DG
|
we prove that manifolds of lusternikschnirelmann category 2 necessarily have free fundamental group we thus settle a 1992 conjecture of gomezlarranaga and gonzalezacuna by generalizing their result in dimension 3 to all higher dimensions we examine its ramifications in systolic topology and provide a sufficient condition for ensuring a lower bound of 3 for systolic category
|
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|
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|
706.1626
|
Near-Infrared Polarimetry of the Eagle Nebula (M16)
|
We carried out deep and wide (about 8' x 8') JHKs imaging polarimetry in the
southern region of the Eagle Nebula (M16). The polarization intensity map
reveals that two YSOs with near-IR reflection nebulae are located at the tips
of two famous molecular pillars (Pillars 1 and 2) facing toward the exciting
stars of M16. The centrosymmetric polarization pattern are consistent with
those around class I objects having circumstellar envelopes, confirming that
star formation is now taking place at the two tips of the pillars under the
influence of UV radiation from the exciting stars. Polarization measurements of
point sources show that magnetic fields are aligned along some of the pillars
but in a direction that is quite different to the global structure in M16.
|
astro-ph
|
we carried out deep and wide about 8 x 8 jhks imaging polarimetry in the southern region of the eagle nebula m16 the polarization intensity map reveals that two ysos with nearir reflection nebulae are located at the tips of two famous molecular pillars pillars 1 and 2 facing toward the exciting stars of m16 the centrosymmetric polarization pattern are consistent with those around class i objects having circumstellar envelopes confirming that star formation is now taking place at the two tips of the pillars under the influence of uv radiation from the exciting stars polarization measurements of point sources show that magnetic fields are aligned along some of the pillars but in a direction that is quite different to the global structure in m16
|
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|
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|
706.1627
|
Rectified momentum transport for a kicked Bose-Einstein Condensate
|
We report the experimental observation of rectified momentum transport for a
Bose-Einstein Condensate kicked at the Talbot time (quantum resonance) by an
optical standing wave. Atoms are initially prepared in a superposition of the 0
and -2*hbar*kl momentum states using an optical pi/2 pulse. By changing the
relative phase of the superposed states, a momentum current in either direction
along the standing wave may be produced. We offer an interpretation based on
matter wave interference, showing that the observed effect is uniquely quantum.
|
quant-ph
|
we report the experimental observation of rectified momentum transport for a boseeinstein condensate kicked at the talbot time quantum resonance by an optical standing wave atoms are initially prepared in a superposition of the 0 and 2hbarkl momentum states using an optical pi2 pulse by changing the relative phase of the superposed states a momentum current in either direction along the standing wave may be produced we offer an interpretation based on matter wave interference showing that the observed effect is uniquely quantum
|
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|
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|
706.1628
|
Thermodynamics of pairing in mesoscopic systems
|
Using numerical and analytical methods implemented for different models we
conduct a systematic study of thermodynamic properties of pairing correlation
in mesoscopic nuclear systems. Various quantities are calculated and analyzed
using the exact solution of pairing. An in-depth comparison of canonical, grand
canonical, and microcanonical ensemble is conducted. The nature of the pairing
phase transition in a small system is of a particular interest. We discuss the
onset of discontinuity in the thermodynamic variables, fluctuations, and
evolution of zeros of the canonical and grand canonical partition functions in
the complex plane. The behavior of the Invariant Correlational Entropy is also
studied in the transitional region of interest. The change in the character of
the phase transition due to the presence of magnetic field is discussed along
with studies of superconducting thermodynamics.
|
nucl-th
|
using numerical and analytical methods implemented for different models we conduct a systematic study of thermodynamic properties of pairing correlation in mesoscopic nuclear systems various quantities are calculated and analyzed using the exact solution of pairing an indepth comparison of canonical grand canonical and microcanonical ensemble is conducted the nature of the pairing phase transition in a small system is of a particular interest we discuss the onset of discontinuity in the thermodynamic variables fluctuations and evolution of zeros of the canonical and grand canonical partition functions in the complex plane the behavior of the invariant correlational entropy is also studied in the transitional region of interest the change in the character of the phase transition due to the presence of magnetic field is discussed along with studies of superconducting thermodynamics
|
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|
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|
706.1629
|
Emergently Thermalized Islands in the Landscape
|
In this note, we point out that in the eternal inflation driven by the
metastable vacua of the landscape, it might be possible that some large and
local quantum fluctuations with the null energy condition violation can stride
over the barriers between different vacua and straightly create some islands
with radiation and matter in new vacua. Then these thermalized islands will
evolve with the standard cosmology. We show that such islands may be consistent
with our observable universe, while has some distinctly observable signals,
which may be tested in coming observations.
|
gr-qc
|
in this note we point out that in the eternal inflation driven by the metastable vacua of the landscape it might be possible that some large and local quantum fluctuations with the null energy condition violation can stride over the barriers between different vacua and straightly create some islands with radiation and matter in new vacua then these thermalized islands will evolve with the standard cosmology we show that such islands may be consistent with our observable universe while has some distinctly observable signals which may be tested in coming observations
|
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|
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|
706.163
|
An analytic study of the ionization from an ultrathin quantum well in a
weak electrostatic field
|
We consider the time evolution of a particle bound by an attractive
one-dimensional delta-function potential (at x = 0) when a uniform
electrostatic field (F) is applied. We explore explicit expressions for the
time-dependent wavefunction \psi_F(x,t) and the ionization probability
{\mathcal{P}}(t), respectively, in the weak-field limit. In doing so,
\psi_F(0,t) is a key element to their evaluation. We obtain a closed expression
for \psi_F(0,t) which is an excellent approximation of the exact result being a
numerical solution of the Lippmann-Schwinger integral equation. The resulting
probability density |\psi_F(0,t)|^2, as a simple alternative to
{\mathcal{P}}(t), is also in good agreement to its counterpart from the exact
one. In doing this, we also find a new and useful integral identity of the Airy
function.
|
quant-ph
|
we consider the time evolution of a particle bound by an attractive onedimensional deltafunction potential at x 0 when a uniform electrostatic field f is applied we explore explicit expressions for the timedependent wavefunction psi_fxt and the ionization probability mathcalpt respectively in the weakfield limit in doing so psi_f0t is a key element to their evaluation we obtain a closed expression for psi_f0t which is an excellent approximation of the exact result being a numerical solution of the lippmannschwinger integral equation the resulting probability density psi_f0t2 as a simple alternative to mathcalpt is also in good agreement to its counterpart from the exact one in doing this we also find a new and useful integral identity of the airy function
|
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|
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|
706.1631
|
Action Principle and Algebraic Approach to Gauge Transformations in
Gauge Theories
|
The action principle is used to derive, by an entirely algebraic approach,
gauge transformations of the full vacuum-to-vacuum transition amplitude
(generating functional) from the Coulomb gauge to arbitrary covariant gauges
and in turn to the celebrated Fock-Schwinger (FS) gauge for the abelian (QED)
gauge theory without recourse to path integrals or to commutation rules and
without making use of delta functionals. The interest in the FS gauge, in
particular, is that it leads to Faddeev-Popov ghosts-free non-abelian gauge
theories. This method is expected to be applicable to non-abelian gauge
theories including supersymmetric ones.
|
hep-th
|
the action principle is used to derive by an entirely algebraic approach gauge transformations of the full vacuumtovacuum transition amplitude generating functional from the coulomb gauge to arbitrary covariant gauges and in turn to the celebrated fockschwinger fs gauge for the abelian qed gauge theory without recourse to path integrals or to commutation rules and without making use of delta functionals the interest in the fs gauge in particular is that it leads to faddeevpopov ghostsfree nonabelian gauge theories this method is expected to be applicable to nonabelian gauge theories including supersymmetric ones
|
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|
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|
706.1632
|
Wetting of gradient fields: pathwise estimates
|
We consider the wetting transition in the framework of an effective interface
model of gradient type, in dimension 2 and higher. We prove pathwise estimates
showing that the interface is localized in the whole thermodynamically-defined
partial wetting regime considered in earlier works. Moreover, we study how the
interface delocalizes as the wetting transition is approached. Our main tool is
reflection positivity in the form of the chessboard estimate.
|
math.PR math-ph math.MP
|
we consider the wetting transition in the framework of an effective interface model of gradient type in dimension 2 and higher we prove pathwise estimates showing that the interface is localized in the whole thermodynamicallydefined partial wetting regime considered in earlier works moreover we study how the interface delocalizes as the wetting transition is approached our main tool is reflection positivity in the form of the chessboard estimate
|
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|
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|
706.1633
|
Large Attractive Depletion Interactions in Soft Repulsive-Sphere Binary
Mixtures
|
We consider binary mixtures of soft repulsive spherical particles and
calculate the depletion interaction between two big spheres mediated by the
fluid of small spheres, using different theoretical and simulation methods. The
validity of the theoretical approach, a virial expansion in terms of the
density of the small spheres, is checked against simulation results. Attention
is given to the approach toward the hard-sphere limit, and to the effect of
density and temperature on the strength of the depletion potential. Our results
indicate, surprisingly, that even a modest degree of softness in the pair
potential governing the direct interactions between the particles may lead to a
significantly more attractive total effective potential for the big spheres
than in the hard-sphere case. This might lead to significant differences in
phase behavior, structure and dynamics of a binary mixture of soft repulsive
spheres. In particular, a perturbative scheme is applied to predict the phase
diagram of an effective system of big spheres interacting via depletion forces
for a size ratio of small and big spheres of 0.2; this diagram includes the
usual fluid-solid transition but, in the soft-sphere case, the metastable
fluid-fluid transition, which is probably absent in hard-sphere mixtures, is
close to being stable with respect to direct fluid-solid coexistence. From
these results the interesting possibility arises that, for sufficiently soft
repulsive particles, this phase transition could become stable. Possible
implications for the phase behavior of real colloidal dispersions are
discussed.
|
cond-mat.soft cond-mat.stat-mech
|
we consider binary mixtures of soft repulsive spherical particles and calculate the depletion interaction between two big spheres mediated by the fluid of small spheres using different theoretical and simulation methods the validity of the theoretical approach a virial expansion in terms of the density of the small spheres is checked against simulation results attention is given to the approach toward the hardsphere limit and to the effect of density and temperature on the strength of the depletion potential our results indicate surprisingly that even a modest degree of softness in the pair potential governing the direct interactions between the particles may lead to a significantly more attractive total effective potential for the big spheres than in the hardsphere case this might lead to significant differences in phase behavior structure and dynamics of a binary mixture of soft repulsive spheres in particular a perturbative scheme is applied to predict the phase diagram of an effective system of big spheres interacting via depletion forces for a size ratio of small and big spheres of 02 this diagram includes the usual fluidsolid transition but in the softsphere case the metastable fluidfluid transition which is probably absent in hardsphere mixtures is close to being stable with respect to direct fluidsolid coexistence from these results the interesting possibility arises that for sufficiently soft repulsive particles this phase transition could become stable possible implications for the phase behavior of real colloidal dispersions are discussed
|
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|
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|
706.1634
|
Critical Delays and Polynomial Eigenvalue Problems
|
In this work we present a new method to compute the delays of delay
differential equations (DDEs), such that the DDE has a purely imaginary
eigenvalue. For delay differential equations with multiple delays, the critical
curves or critical surfaces in delay space (that is, the set of delays where
the DDE has a purely imaginary eigenvalue) are parameterized. We show how the
method is related to other works in the field by treating the case where the
delays are integer multiples of some delay value, i.e., commensurate delays.
The parametrization is done by solving a {\em quadratic eigenvalue problem}
which is constructed from the vectorization of a matrix equation and hence
typically of large size. For commensurate delay differential equations, the
corresponding equation is a polynomial eigenvalue problem. As a special case of
the proposed method, we find a closed form for a parameterization of the
critical surface for the scalar case.
We provide several examples with visualizations where the computation is done
with some exploitation of the structure of eigenvalue problems.
|
math.NA
|
in this work we present a new method to compute the delays of delay differential equations ddes such that the dde has a purely imaginary eigenvalue for delay differential equations with multiple delays the critical curves or critical surfaces in delay space that is the set of delays where the dde has a purely imaginary eigenvalue are parameterized we show how the method is related to other works in the field by treating the case where the delays are integer multiples of some delay value ie commensurate delays the parametrization is done by solving a em quadratic eigenvalue problem which is constructed from the vectorization of a matrix equation and hence typically of large size for commensurate delay differential equations the corresponding equation is a polynomial eigenvalue problem as a special case of the proposed method we find a closed form for a parameterization of the critical surface for the scalar case we provide several examples with visualizations where the computation is done with some exploitation of the structure of eigenvalue problems
|
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|
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|
706.1635
|
D-brane States and Disk Amplitudes in OSp Invariant Closed String Field
Theory
|
We construct solitonic states in the OSp invariant string field theory, which
are BRST invariant in the leading order of regularization parameter $\epsilon$.
We calculate the disk amplitudes using these solitonic states and show that
they describe D-branes and ghost D-branes.
|
hep-th
|
we construct solitonic states in the osp invariant string field theory which are brst invariant in the leading order of regularization parameter epsilon we calculate the disk amplitudes using these solitonic states and show that they describe dbranes and ghost dbranes
|
[['we', 'construct', 'solitonic', 'states', 'in', 'the', 'osp', 'invariant', 'string', 'field', 'theory', 'which', 'are', 'brst', 'invariant', 'in', 'the', 'leading', 'order', 'of', 'regularization', 'parameter', 'epsilon', 'we', 'calculate', 'the', 'disk', 'amplitudes', 'using', 'these', 'solitonic', 'states', 'and', 'show', 'that', 'they', 'describe', 'dbranes', 'and', 'ghost', 'dbranes']]
|
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|
706.1636
|
Background studies and shielding effects for the TPC detector of the
CAST experiment
|
Sunset solar axions traversing the intense magnetic field of the CERN Axion
Solar Telescope (CAST) experiment may be detected in a Time Projection Chamber
(TPC) detector, as X-rays signals. These signals could be masked, however, by
the inhomogeneous background of materials in the experimental site. A detailed
analysis, based on the detector characteristics, the background radiation at
the CAST site, simulations and experimental results, has allowed us to design a
shielding which reduces the background level by a factor of ~4 compared to the
detector without shielding, depending on its position, in the energy range
between 1 and 10 keV. Moreover, this shielding has improved the homogeneity of
background measured by the TPC.
|
astro-ph
|
sunset solar axions traversing the intense magnetic field of the cern axion solar telescope cast experiment may be detected in a time projection chamber tpc detector as xrays signals these signals could be masked however by the inhomogeneous background of materials in the experimental site a detailed analysis based on the detector characteristics the background radiation at the cast site simulations and experimental results has allowed us to design a shielding which reduces the background level by a factor of 4 compared to the detector without shielding depending on its position in the energy range between 1 and 10 kev moreover this shielding has improved the homogeneity of background measured by the tpc
|
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|
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|
706.1637
|
t-Wise Independence with Local Dependencies
|
In this note we prove a large deviation bound on the sum of random variables
with the following dependency structure: there is a dependency graph $G$ with a
bounded chromatic number, in which each vertex represents a random variable.
Variables that are represented by neighboring vertices may be arbitrarily
dependent, but collections of variables that form an independent set in $G$ are
$t$-wise independent.
|
math.PR math.ST stat.TH
|
in this note we prove a large deviation bound on the sum of random variables with the following dependency structure there is a dependency graph g with a bounded chromatic number in which each vertex represents a random variable variables that are represented by neighboring vertices may be arbitrarily dependent but collections of variables that form an independent set in g are twise independent
|
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|
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|
706.1638
|
Josephson current in a superconductor -- ferromagnet -- superconductor
junction with in-plane ferromagnetic domains
|
We study a diffusive superconductor--ferromagnet--superconductor (SFS)
junction with in-plane ferromagnetic domains. Close to the superconducting
transition temperature, we describe the proximity effect in the junction with
the linearized Usadel equations. We find that properties of such a junction
depend on the size of the domains relative to the magnetic coherence length. In
the case of large domains, the junction exhibits transitions to the $\pi$
state, similarly to a single-domain SFS junction. In the case of small domains,
the magnetization effectively averages out, and the junction is always in the
zero state, similarly to a superconductor--normal metal--superconductor (SNS)
junction. In both those regimes, the influence of domain walls may be
approximately described as an effective spin-flip scattering. We also study the
inhomogeneous distribution of the local current density in the junction. Close
to the 0--$\pi$ transitions, the directions of the critical current may be
opposite in the vicinity of the domain wall and in the middle of the domains.
|
cond-mat.mes-hall cond-mat.supr-con
|
we study a diffusive superconductorferromagnetsuperconductor sfs junction with inplane ferromagnetic domains close to the superconducting transition temperature we describe the proximity effect in the junction with the linearized usadel equations we find that properties of such a junction depend on the size of the domains relative to the magnetic coherence length in the case of large domains the junction exhibits transitions to the pi state similarly to a singledomain sfs junction in the case of small domains the magnetization effectively averages out and the junction is always in the zero state similarly to a superconductornormal metalsuperconductor sns junction in both those regimes the influence of domain walls may be approximately described as an effective spinflip scattering we also study the inhomogeneous distribution of the local current density in the junction close to the 0pi transitions the directions of the critical current may be opposite in the vicinity of the domain wall and in the middle of the domains
|
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|
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|
706.1639
|
The chemical composition of the circumstellar envelopes around yellow
hypergiant stars
|
The yellow hypergiant stars (YHGs) are extremely luminous and massive objects
whose general properties are poorly known. Only two of this kind of star show
massive circumstellar envelopes, IRC+10420 and AFGL2343. We aim to study the
chemistry of the circumstellar envelopes around these two sources, by
comparison with well known AGB stars and protoplanetary nebulae. We also
estimate the abundances of the observed molecular species. We have performed
single-dish observations of different transitions for twelve molecular species.
We have compared the ratio of the intensities of the molecular transitions and
of the estimated abundances in AFGL2343 and IRC+10420 with those in O-rich and
C-rich AGB stars and protoplanetary nebulae. Both YHGs, AFGL2343, and
IRC+10420, have been found to have an O-rich chemistry similar to that in
O-rich AGB stars, though for AFGL2343 the emission of most molecules compared
with 13CO lines is relatively weak. Clear differences with the other evolved
sources appear when we compare the line intensity corrected for distance and
the profile widths which are, respectively, very intense and very wide in YHGs.
The abundances obtained for IRC+10420 agree with those found in AGB stars, but
in general those found in AFGL2343, except for 13CO, are too low. This
apparently low molecular abundance in AFGL2343 could be due to the fact that
these molecules are present only in an inner region of the shell where the mass
is relatively low.
|
astro-ph
|
the yellow hypergiant stars yhgs are extremely luminous and massive objects whose general properties are poorly known only two of this kind of star show massive circumstellar envelopes irc10420 and afgl2343 we aim to study the chemistry of the circumstellar envelopes around these two sources by comparison with well known agb stars and protoplanetary nebulae we also estimate the abundances of the observed molecular species we have performed singledish observations of different transitions for twelve molecular species we have compared the ratio of the intensities of the molecular transitions and of the estimated abundances in afgl2343 and irc10420 with those in orich and crich agb stars and protoplanetary nebulae both yhgs afgl2343 and irc10420 have been found to have an orich chemistry similar to that in orich agb stars though for afgl2343 the emission of most molecules compared with 13co lines is relatively weak clear differences with the other evolved sources appear when we compare the line intensity corrected for distance and the profile widths which are respectively very intense and very wide in yhgs the abundances obtained for irc10420 agree with those found in agb stars but in general those found in afgl2343 except for 13co are too low this apparently low molecular abundance in afgl2343 could be due to the fact that these molecules are present only in an inner region of the shell where the mass is relatively low
|
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|
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|
706.164
|
Independent measurement of the top quark mass and the light- and
bottom-jet energy scales at hadron colliders
|
A method for the simultaneous determination of the energy scales for b-quark
jets and light jets, the jet energy resolution, and the top quark mass at
hadron colliders is presented. The method exploits the unique kinematics of
events with top-antitop pair production, where one of the top quarks involves a
leptonic and one a hadronic W boson decay. The paper shows a feasibility study
of how this simultaneous measurement can be performed at the upcoming LHC
experiments ATLAS and CMS.
|
hep-ex
|
a method for the simultaneous determination of the energy scales for bquark jets and light jets the jet energy resolution and the top quark mass at hadron colliders is presented the method exploits the unique kinematics of events with topantitop pair production where one of the top quarks involves a leptonic and one a hadronic w boson decay the paper shows a feasibility study of how this simultaneous measurement can be performed at the upcoming lhc experiments atlas and cms
|
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|
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|
706.1641
|
Non-unity gain minimal disturbance measurement
|
We propose and experimentally demonstrate an optimal non-unity gain Gaussian
scheme for partial measurement of an unknown coherent state that causes minimal
disturbance of the state. The information gain and the state disturbance are
quantified by the noise added to the measurement outcomes and to the output
state, respectively. We derive the optimal trade-off relation between the two
noises and we show that the trade-off is saturated by non-unity gain
teleportation. Optimal partial measurement is demonstrated experimentally using
a linear optics scheme with feed-forward.
|
quant-ph
|
we propose and experimentally demonstrate an optimal nonunity gain gaussian scheme for partial measurement of an unknown coherent state that causes minimal disturbance of the state the information gain and the state disturbance are quantified by the noise added to the measurement outcomes and to the output state respectively we derive the optimal tradeoff relation between the two noises and we show that the tradeoff is saturated by nonunity gain teleportation optimal partial measurement is demonstrated experimentally using a linear optics scheme with feedforward
|
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|
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|
706.1642
|
On the growth of components with non fixed excesses
|
Denote by an $l$-component a connected graph with $l$ edges more than
vertices. We prove that the expected number of creations of $(l+1)$-component,
by means of adding a new edge to an $l$-component in a randomly growing graph
with $n$ vertices, tends to 1 as $l,n$ tends to $\infty$ but with $l =
o(n^{1/4})$. We also show, under the same conditions on $l$ and $n$, that the
expected number of vertices that ever belong to an $l$-component is $\sim
(12l)^{1/3} n^{2/3}$.
|
cs.DM math.CO
|
denote by an lcomponent a connected graph with l edges more than vertices we prove that the expected number of creations of l1component by means of adding a new edge to an lcomponent in a randomly growing graph with n vertices tends to 1 as ln tends to infty but with l on14 we also show under the same conditions on l and n that the expected number of vertices that ever belong to an lcomponent is sim 12l13 n23
|
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|
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|
706.1643
|
APEX survey of southern high mass star forming regions
|
A systematic study of a large sample of sources, covering a wide range in
galactocentric distances, masses and luminosities, is a fast and efficient way
of obtaining a good overview of the different stages of high-mass star
formation. With these goals in mind, we have started a survey of 40 color
selected IRAS sources south of -20 degrees declination with the APEX telescope
on Chajnantor, Chile. Our first APEX results already demonstrate that the
selection criteria were successful, since some of the sources are very rich in
molecular lines.
|
astro-ph
|
a systematic study of a large sample of sources covering a wide range in galactocentric distances masses and luminosities is a fast and efficient way of obtaining a good overview of the different stages of highmass star formation with these goals in mind we have started a survey of 40 color selected iras sources south of 20 degrees declination with the apex telescope on chajnantor chile our first apex results already demonstrate that the selection criteria were successful since some of the sources are very rich in molecular lines
|
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|
[-0.09234732896968555, 0.08165961483969573, -0.06944009983974896, 0.0492125225457457, -0.08957447531748186, -0.04737465202646837, 0.0672675013395675, 0.45915952726696313, -0.11118782753271333, -0.3837788711835662, 0.1131816217217992, -0.2782308269564188, -0.028770878754053892, 0.1991714231743153, -0.020849441790304492, -0.03868143079446608, 0.11137256294448358, -0.0993049559261901, -0.058880487632194764, -0.25937088378024903, 0.2593486492595311, 0.10375590672653713, 0.23173529880770136, -0.000734560683453351, 0.11659827483870257, -0.12095968182502168, -0.09049217348782283, 0.007215819520394454, -0.1517257333941283, 0.07651302265003324, 0.3002369615008657, 0.13916397387555243, 0.26711474517569617, -0.315440860859055, -0.1560937933979577, 0.034222776243552105, 0.11458746479363756, 0.07803659444266742, -0.07830849960263232, -0.2810141017890713, 0.057903415533933744, -0.15480934379110897, -0.2134640918144684, 0.04895780592099921, 0.04336002369651969, 0.09050780953577814, -0.2013565942545662, 0.02574197008808175, -0.044387165425617374, 0.1423406083911155, -0.06351489725449447, -0.199057399980682, -0.015801595397073816, 0.13317544523919567, -0.034774406956969185, 0.09066560181914672, 0.12047427514923757, -0.16137153313892863, -0.05518975061118561, 0.37056539217637996, -0.03544149473257195, 0.01966138160264308, 0.24025441473873144, -0.20877367744661784, -0.23350307733092582, 0.1639556674603268, 0.19076844837432833, 0.1810221884875778, -0.22410168839890635, 0.004305893198189357, -0.032735743873825905, 0.19190005789605086, 0.07425859191630224, 0.10431254720263015, 0.30758750243007804, 0.1622761082155316, 0.07211412914526345, 0.14280836513655762, -0.23590998463280333, -0.07797401917449544, -0.2917066625936815, -0.09264245847491233, -0.10283841180949985, 0.05469852466439682, -0.11719453943797827, -0.08662080114218144, 0.38532478333283426, 0.11013574464497773, 0.22749267597264203, 0.040447986109203166, 0.27768786148471614, -0.0355669494150625, 0.12047875124605188, 0.051455854077227, 0.28822095913641166, 0.10982217331511084, 0.11112596279303177, -0.15652313019578043, 0.013703738715960069, -0.03858364371352651]
|
706.1644
|
Pseudo-Gaussian quantum models
|
A new family of one-dimensional quantum models is proposed in terms of new
potentials with a Gaussian asymptotic behavior but approaching to the potential
of the harmonic o scillator when $x\to 0$. It is shown that, in the energy
basis of the harmonic oscillator, the matrix elements of the Hamiltonian
operators of these new models can be derived from generating functionals.
|
math-ph math.MP quant-ph
|
a new family of onedimensional quantum models is proposed in terms of new potentials with a gaussian asymptotic behavior but approaching to the potential of the harmonic o scillator when xto 0 it is shown that in the energy basis of the harmonic oscillator the matrix elements of the hamiltonian operators of these new models can be derived from generating functionals
|
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|
[-0.09128498783684336, 0.13453313601203262, -0.0817451428854838, 0.022800392676920942, 0.012495882696627329, -0.14464175724424422, 0.0010122847238865991, 0.33248103422423203, -0.28522624683876835, -0.20204021469689906, 0.03223332888058697, -0.28137380493183933, -0.18360322813193003, 0.22451473280477027, -0.02924508632471164, 0.09444955911797782, 0.04416450517795359, 0.07947980732036133, -0.08984145396777118, -0.2172873171667258, 0.34105518100162346, 0.039270393959789845, 0.22714192047715187, 0.019537349704963465, 0.08643308092529575, -0.05598091908808177, 0.06020849949369828, -0.016760561180611453, -0.08836605065019588, 0.1634392074580925, 0.20472031310746389, 0.08276975173503161, 0.24840340634497504, -0.382168164861893, -0.23825152043718845, 0.14999156564784547, 0.1275374276563525, 0.11688065923129519, -0.02468430024261276, -0.2885893045846994, 0.04848777380151053, -0.17780558584878842, -0.18635211212870975, -0.12005314666312188, 0.02230975132746001, 0.11723694789300983, -0.32146720943662027, 0.05832006248723095, 0.09581163708741466, 0.027803018890942135, -0.05898909620785465, -0.13951229651769, -0.05525053279319157, 0.08850438372707382, 0.02254836558519552, 0.015027175917445372, 0.05856062279393275, -0.1346034048590809, -0.0834785279740269, 0.38211494717106687, -0.12032775044402418, -0.23573970819513004, 0.15332544018747285, -0.1477250851613159, -0.10150267207063735, 0.1018868502539893, 0.14636108720830332, 0.13369957935841134, -0.1759338875740165, 0.1761340161319822, 0.004551530675962567, 0.125936130398865, 0.027374499555056293, 0.037629225640557706, 0.16878290567547083, 0.09586586040677503, 0.06839953954331576, 0.1310937889366566, -0.04027930237352848, -0.12235238465170066, -0.3376131025453409, -0.16725543069963653, -0.2260212414044266, 0.08135151760652662, -0.10608431168754275, -0.211654452670579, 0.4445723452915748, 0.0911829442018643, 0.18721389441440503, 0.05722045603518685, 0.21456326997528474, 0.22042946624569595, 0.06434676660380016, 0.02397224388550967, 0.2221791998638461, 0.1705404391977936, 0.03157947549674039, -0.18886406394885852, -0.01152837499200056, 0.11219978552156439]
|
706.1645
|
Dynamics of Three Agent Games
|
We study the dynamics and resulting score distribution of three-agent games
where after each competition a single agent wins and scores a point. A single
competition is described by a triplet of numbers $p$, $t$ and $q$ denoting the
probabilities that the team with the highest, middle or lowest accumulated
score wins. We study the full family of solutions in the regime, where the
number of agents and competitions is large, which can be regarded as a
hydrodynamic limit. Depending on the parameter values $(p,q,t)$, we find six
qualitatively different asymptotic score distributions and we also provide a
qualitative understanding of these results. We checked our analytical results
against numerical simulations of the microscopic model and find these to be in
excellent agreement. The three agent game can be regarded as a social model
where a player can be favored or disfavored for advancement, based on his/her
accumulated score. It is also possible to decide the outcome of a three agent
game through a mini tournament of two-a gent competitions among the
participating players and it turns out that the resulting possible score
distributions are a subset of those obtained for the general three agent-games.
We discuss how one can add a steady and democratic decline rate to the model
and present a simple geometric construction that allows one to write down the
corresponding score evolution equations for $n$-agent games.
|
physics.soc-ph cond-mat.stat-mech
|
we study the dynamics and resulting score distribution of threeagent games where after each competition a single agent wins and scores a point a single competition is described by a triplet of numbers p t and q denoting the probabilities that the team with the highest middle or lowest accumulated score wins we study the full family of solutions in the regime where the number of agents and competitions is large which can be regarded as a hydrodynamic limit depending on the parameter values pqt we find six qualitatively different asymptotic score distributions and we also provide a qualitative understanding of these results we checked our analytical results against numerical simulations of the microscopic model and find these to be in excellent agreement the three agent game can be regarded as a social model where a player can be favored or disfavored for advancement based on hisher accumulated score it is also possible to decide the outcome of a three agent game through a mini tournament of twoa gent competitions among the participating players and it turns out that the resulting possible score distributions are a subset of those obtained for the general three agentgames we discuss how one can add a steady and democratic decline rate to the model and present a simple geometric construction that allows one to write down the corresponding score evolution equations for nagent games
|
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|
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|
706.1646
|
Limits of ultra-high-precision optical astrometry: Stellar surface
structures
|
We investigate the astrometric effects of stellar surface structures as a
practical limitation to ultra-high-precision astrometry, e.g. in the context of
exoplanet searches, and to quantify the expected effects in different regions
of the HR-diagram. Stellar surface structures are likely to produce
fluctuations in the integrated flux and radial velocity of the star, as well as
a variation of the observed photocentre, i.e. astrometric jitter, and closure
phase. We use theoretical considerations supported by Monte Carlo simulations
to derive statistical relations between the corresponding astrometric,
photometric, and radial-velocity effects. For most stellar types the
astrometric jitter due to stellar surface structures is expected to be of order
10 micro-AU or greater. This is more than the astrometric displacement
typically caused by an Earth-size exoplanet in the habitable zone, which is
about 1-4 micro-AU for long-lived main-sequence stars. Only for stars with
extremely low photometric variability (<0.5 mmag) and low magnetic activity,
comparable to that of the Sun, will the astrometric jitter be of order 1
micro-AU, suffcient to allow the astrometric detection of an Earth-sized planet
in the habitable zone. While stellar surface structure may thus seriously
impair the astrometric detection of small exoplanets, it has in general
negligible impact on the detection of large (Jupiter-size) planets and on the
determination of stellar parallax and proper motion. From the starspot model we
also conclude that the commonly used spot filling factor is not the most
relevant parameter for quantifying the spottiness in terms of the resulting
astrometric, photometric and radial-velocity variations.
|
astro-ph
|
we investigate the astrometric effects of stellar surface structures as a practical limitation to ultrahighprecision astrometry eg in the context of exoplanet searches and to quantify the expected effects in different regions of the hrdiagram stellar surface structures are likely to produce fluctuations in the integrated flux and radial velocity of the star as well as a variation of the observed photocentre ie astrometric jitter and closure phase we use theoretical considerations supported by monte carlo simulations to derive statistical relations between the corresponding astrometric photometric and radialvelocity effects for most stellar types the astrometric jitter due to stellar surface structures is expected to be of order 10 microau or greater this is more than the astrometric displacement typically caused by an earthsize exoplanet in the habitable zone which is about 14 microau for longlived mainsequence stars only for stars with extremely low photometric variability 05 mmag and low magnetic activity comparable to that of the sun will the astrometric jitter be of order 1 microau suffcient to allow the astrometric detection of an earthsized planet in the habitable zone while stellar surface structure may thus seriously impair the astrometric detection of small exoplanets it has in general negligible impact on the detection of large jupitersize planets and on the determination of stellar parallax and proper motion from the starspot model we also conclude that the commonly used spot filling factor is not the most relevant parameter for quantifying the spottiness in terms of the resulting astrometric photometric and radialvelocity variations
|
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|
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|
706.1647
|
Non-lattice simulation for supersymmetric gauge theories in one
dimension
|
Lattice simulation of supersymmetric gauge theories is not straightforward.
In some cases the lack of manifest supersymmetry just necessitates cumbersome
fine-tuning, but in the worse cases the chiral and/or Majorana nature of
fermions makes it difficult to even formulate an appropriate lattice theory. We
propose to circumvent all these problems inherent in the lattice approach by
adopting a non-lattice approach in the case of one-dimensional supersymmetric
gauge theories, which are important in the string/M theory context.
|
hep-lat hep-th
|
lattice simulation of supersymmetric gauge theories is not straightforward in some cases the lack of manifest supersymmetry just necessitates cumbersome finetuning but in the worse cases the chiral andor majorana nature of fermions makes it difficult to even formulate an appropriate lattice theory we propose to circumvent all these problems inherent in the lattice approach by adopting a nonlattice approach in the case of onedimensional supersymmetric gauge theories which are important in the stringm theory context
|
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|
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|
706.1648
|
Persistence of characteristics of an ordered flux line lattice above the
second peak in $Bi_2Sr_2CaCu_2O_{8+ \delta}$
|
We report Small Angle Neutron Scattering measurements of the flux lines
lattice (FLL) in $Bi_2Sr_2CaCu_2O_{8+ \delta}$. As previously reported, the
scattered intensity decreases strongly when the magnetic field is increased,
but it remains measurable far above the second peak. The direct observation of
Bragg peaks proves that the characteristics of a lattice are still present. No
structural features related to a symmetry breaking, such as a liquid like or an
amorphous state, can be observed. However, the associated scattered intensity
is very low and is difficult to explain. We discuss the coexistence between two
FLL states as a possible interpretation.
|
cond-mat.supr-con
|
we report small angle neutron scattering measurements of the flux lines lattice fll in bi_2sr_2cacu_2o_8 delta as previously reported the scattered intensity decreases strongly when the magnetic field is increased but it remains measurable far above the second peak the direct observation of bragg peaks proves that the characteristics of a lattice are still present no structural features related to a symmetry breaking such as a liquid like or an amorphous state can be observed however the associated scattered intensity is very low and is difficult to explain we discuss the coexistence between two fll states as a possible interpretation
|
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|
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|
706.1649
|
On the Low Energy Spectra of the Nonsupersymmetric Heterotic String
Theories
|
The ten dimensional string theories as well as eleven dimensional
supergravity are conjectured to arise as limits of a more basic theory,
traditionaly dubbed M--theory. This notion is confined to the ten dimensional
supersymmetric theories. String theory, however, also contains ten dimensional
nonsupersymmetric theories that have not been incorporated into this picture.
In this note we explore the possibility of generating the low energy spectra of
various nonsupersymmetric heterotic string vacua form the Horava--Witten model.
We argue that this can be achieved by imposing on the Horava--Witten model an
invariance with respect to some extra operators which identify the orbifold
fixed planes in a nontrivial way, and demonstrate it for the E_8 and
SO(16)XSO(16) heterotic string vacua in ten dimensions.
|
hep-th hep-ph
|
the ten dimensional string theories as well as eleven dimensional supergravity are conjectured to arise as limits of a more basic theory traditionaly dubbed mtheory this notion is confined to the ten dimensional supersymmetric theories string theory however also contains ten dimensional nonsupersymmetric theories that have not been incorporated into this picture in this note we explore the possibility of generating the low energy spectra of various nonsupersymmetric heterotic string vacua form the horavawitten model we argue that this can be achieved by imposing on the horavawitten model an invariance with respect to some extra operators which identify the orbifold fixed planes in a nontrivial way and demonstrate it for the e_8 and so16xso16 heterotic string vacua in ten dimensions
|
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|
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|
706.165
|
A common limit of super Liouville theory and minimal models
|
We show that N=1 supersymmetric Liouville theory can be continued to central
charge c=3/2, and that the limiting non-rational superconformal field theory
can also be obtained as a limit of supersymmetric minimal models. This
generalises a result known for the non-supersymmetric case. We present explicit
expressions for the three-point functions of bulk fields, as well as a set of
superconformal boundary states. The main technical ingredient to take the limit
of minimal models consists in determining analytic expressions for the
structure constants. In the appendix we show in detail how the structure
constants of supersymmetric and Virasoro minimal models can be rewritten in
terms of Barnes' double gamma functions.
|
hep-th
|
we show that n1 supersymmetric liouville theory can be continued to central charge c32 and that the limiting nonrational superconformal field theory can also be obtained as a limit of supersymmetric minimal models this generalises a result known for the nonsupersymmetric case we present explicit expressions for the threepoint functions of bulk fields as well as a set of superconformal boundary states the main technical ingredient to take the limit of minimal models consists in determining analytic expressions for the structure constants in the appendix we show in detail how the structure constants of supersymmetric and virasoro minimal models can be rewritten in terms of barnes double gamma functions
|
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|
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|
706.1651
|
On Some Lie Bialgebra Structures on Polynomial Algebras and their
Quantization
|
We study classical twists of Lie bialgebra structures on the polynomial
current algebra $\mathfrak{g}[u]$, where $\mathfrak{g}$ is a simple complex
finite-dimensional Lie algebra. We focus on the structures induced by the
so-called quasi-trigonometric solutions of the classical Yang-Baxter equation.
It turns out that quasi-trigonometric $r$-matrices fall into classes labelled
by the vertices of the extended Dynkin diagram of $\mathfrak{g}$. We give
complete classification of quasi-trigonometric $r$-matrices belonging to
multiplicity free simple roots (which have coefficient 1 in the decomposition
of the maximal root). We quantize solutions corresponding to the first root of
$\mathfrak{sl}(n)$.
|
math.QA math-ph math.MP
|
we study classical twists of lie bialgebra structures on the polynomial current algebra mathfrakgu where mathfrakg is a simple complex finitedimensional lie algebra we focus on the structures induced by the socalled quasitrigonometric solutions of the classical yangbaxter equation it turns out that quasitrigonometric rmatrices fall into classes labelled by the vertices of the extended dynkin diagram of mathfrakg we give complete classification of quasitrigonometric rmatrices belonging to multiplicity free simple roots which have coefficient 1 in the decomposition of the maximal root we quantize solutions corresponding to the first root of mathfraksln
|
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|
[-0.18029675565619943, 0.03967546238388706, -0.06882152754953631, 0.04692835980270218, -0.20115813625956414, -0.14926840808062303, -0.021613932625260405, 0.29539239310449167, -0.3434842487056089, -0.1728316866592454, 0.09713681439383416, -0.24456210061907768, -0.1724073944052541, 0.1610820144965684, -0.1003259213551158, -0.05357107771460407, 0.08727547699104875, 0.1708479963883918, -0.1139212156751103, -0.27447668161563654, 0.4064077543976006, -0.04901472167162004, 0.21294043209123356, -0.047427864770294835, 0.14698912671977474, -0.004667715459901799, 0.011100380043048532, -0.021999759003720296, -0.21031025469953116, 0.08067645219665381, 0.2816534729734544, 0.06070497101773658, 0.15863413407757718, -0.35792783241198267, -0.06347450871841721, 0.20330435301988356, 0.18927974789153024, 0.04070167856726555, 0.02661983028269543, -0.3028930917943037, 0.08733241400751536, -0.2160682356465728, -0.14903496999934476, -0.04337382020669118, 0.05706208214283951, -0.004213561676943334, -0.17068962580574457, 0.06922211307751876, 0.09107166490647742, 0.09895335662589279, -0.0993622386107041, -0.15013455338175258, -0.06854242743844147, 0.06106210932616265, -0.1052369835000405, -0.013492623702072168, 0.08665609478409733, -0.12668690003294458, -0.17651272510048202, 0.3654555296375146, 0.04564099305970294, -0.25082648103000216, 0.11941073814116579, -0.18270419552040998, -0.1788200366020363, 0.12583234999829562, 0.08284230422108405, 0.12090865035931911, -0.0923436217270391, 0.1868501825768861, -0.11380380849724495, 0.0075964066049745, 0.09212934963845758, -0.05934104309867947, 0.14793556693300444, 0.09366449187960356, 0.03111723673990577, 0.16834961626458392, 0.06136150608560251, -0.0990699573409974, -0.3422107871982359, -0.1452744483474582, -0.0961449477841617, 0.17006401831824933, -0.1423254616017784, -0.19866816628278705, 0.4311465400681701, 0.11225261876074176, 0.19502400688987265, 0.09386575149036744, 0.14341406574753182, 0.13062914947588597, 0.13263353727437477, 0.04003910418939858, 0.1402683215295916, 0.25927042107908954, -0.031141094242533047, -0.18984964215547168, -0.08902372574178322, 0.25769325422864126]
|
706.1652
|
Right and Left Joint System Representation of a Rational Matrix Function
in General Position (System Representation Theory for Dummies)
|
For a rational matrix function R of one variable in general position, the
matrix functions R(x)/R(y) and R(y)\R(x) of two variables are considered. For
these matrix functions of two variables, representations which are analogous to
the system representations (or realizations) of a rational matrix function of
one variable are constructed. This representation is called the joint right
[the joint left] system representation.
|
math.CA
|
for a rational matrix function r of one variable in general position the matrix functions rxry and ryrx of two variables are considered for these matrix functions of two variables representations which are analogous to the system representations or realizations of a rational matrix function of one variable are constructed this representation is called the joint right the joint left system representation
|
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|
[-0.1319726099881033, 0.09448064061192175, -0.08159417199591795, 0.060397206867734594, -0.05951101593673229, -0.1539182463971277, -0.0143362268495063, 0.36053125659624735, -0.35190692072113355, -0.19525221176445484, 0.13798383400426245, -0.28392220120877026, -0.18604939634678885, 0.13421802771044894, -0.0348307479172945, 0.07206206835495929, 0.0010343789588660001, 0.092395040509291, -0.14023286593922724, -0.23239718033000828, 0.38064746260643006, -0.06714914360394081, 0.20110680797758201, -0.07451309869841984, 0.18060018868806463, 0.07863643084807942, -0.06410839220819374, -0.07034860188141465, -0.0226995668374002, 0.14570450247265399, 0.25237676510587337, 0.16014512858819216, 0.24851826180238276, -0.38150019756673526, -0.16127504757605493, 0.15835638429659107, 0.11634041944053024, 0.01730703972862102, 0.026939698207813004, -0.23663048582772414, 0.0761350017429019, -0.18264865366121133, -0.11393498450828095, -0.05669737597927451, 0.05191331141007443, 0.051758510433137415, -0.3707788661122322, 0.03921717073147495, 0.027308676034832995, 0.030200295518928517, -0.06137433099405219, -0.2044344413812117, 0.03474311165045947, 0.14067353198382382, -0.002731324379177143, 0.04982923880840341, 0.09675912441841016, -0.14071431695095574, -0.0530962184847643, 0.3204448696536322, 0.0007574668852612376, -0.34468095991760495, 0.14292225227691233, -0.16141992594736318, -0.14919554824785639, 0.06255727373063565, 0.1382035780698061, 0.1321241914915542, -0.15131297501114507, 0.07933606851438527, -0.11341512938961387, 0.1313005427752311, 0.01736042711418122, 0.03879005214839708, 0.18003867811833818, 0.06411571802260975, 0.041035801350759966, 0.10235367717141344, 0.013904868190487226, -0.0870488961537679, -0.3194462468226751, -0.1689942667260766, -0.21863973810492704, -0.009862866729721038, -0.1383248085541709, -0.20851013529269646, 0.469389691700538, 0.05245752977207303, 0.2321351124594609, 0.07783844938385301, 0.22712791683152317, 0.19741176910077532, 0.042353471554815766, 0.014765653860134382, 0.1218049126677215, 0.17017569131373117, 0.00033171898685395717, -0.11789083540303788, 0.07085467516444624, 0.1540331684673826]
|
706.1653
|
Thermodynamic forces, flows, and Onsager coefficients in complex
networks
|
We present Onsager formalism applied to random networks with arbitrary degree
distribution. Using the well-known methods of non-equilibrium thermodynamics we
identify thermodynamic forces and their conjugated flows induced in networks as
a result of single node degree perturbation. The forces and the flows can be
understood as a response of the system to events, such as random removal of
nodes or intentional attacks on them. Finally, we show that cross effects (such
as thermodiffusion, or thermoelectric phenomena), in which one force may not
only give rise to its own corresponding flow, but to many other flows, can be
observed also in complex networks.
|
cond-mat.dis-nn cond-mat.stat-mech
|
we present onsager formalism applied to random networks with arbitrary degree distribution using the wellknown methods of nonequilibrium thermodynamics we identify thermodynamic forces and their conjugated flows induced in networks as a result of single node degree perturbation the forces and the flows can be understood as a response of the system to events such as random removal of nodes or intentional attacks on them finally we show that cross effects such as thermodiffusion or thermoelectric phenomena in which one force may not only give rise to its own corresponding flow but to many other flows can be observed also in complex networks
|
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|
[-0.15080956946289872, 0.12838802966221408, -0.095727308933596, 0.055694590006204484, -0.0521832256831084, -0.16074791141487296, 0.03893662977158951, 0.37406657344562194, -0.32514545762712516, -0.288305505115575, 0.06525815036984214, -0.2895702167224247, -0.21722875983969678, 0.1803440300253835, -0.047238468511247085, 0.04692030861664075, 0.009677657102533047, 0.06416852486283672, -0.010446077463605884, -0.2290128162537602, 0.29346799582821653, 0.03026687417143178, 0.24141252596265844, 0.09871747887250289, 0.07381380954757333, -0.005536345645188562, 0.025089248481378394, 0.11881649854945615, -0.08934544192128917, 0.06073223313009276, 0.24433079864874988, 0.07562001345642996, 0.22517645203969577, -0.4747298440886933, -0.2793284960100156, 0.12429219755136127, 0.11680676672128436, 0.15633489494324995, -0.0038485757755658146, -0.2613147461009257, 0.05674494232403711, -0.20876613404467312, -0.1400881318140377, -0.1470401880503135, -0.009154663999899499, 0.08886294837281541, -0.24217579362335281, 0.0784100426100443, 0.09183692315466774, 0.03643912963062814, -0.016567756511153456, -0.06645360965738344, -0.0703831712887125, 0.15736203449009692, 0.047355184738424795, -0.00737188029943884, 0.21064784990858684, -0.14445276959862524, -0.1552650072494323, 0.41657749581539516, -0.049068053705658476, -0.2172872564276156, 0.22544138427841867, -0.10095983247263628, -0.12866814786486908, 0.08068864796202159, 0.2348526410613824, 0.12281459413505005, -0.1683841881667743, -0.0239249331892459, 0.00826966961465993, 0.10770165780107084, 0.05854322358929706, 0.04224721150183417, 0.19355970458353608, 0.10641903202139853, 0.0791011332049378, 0.13592531364151159, -0.066537814540619, -0.08386478408972181, -0.26407264171561534, -0.10778814015966683, -0.17943338629364677, 0.1036409741174034, -0.07028947223528306, -0.19667024657274912, 0.37018425791587645, 0.151333113957097, 0.22119673587454175, 0.021489679559079693, 0.29882479983481386, 0.1134958908332566, 0.09536662311926122, 0.06776554084120734, 0.22475439986865065, 0.14578887821148032, 0.09536686588024486, -0.1758409018935726, 0.11479054183870988, 0.046422876327217207]
|
706.1654
|
Gravity as an emergent phenomenon: A conceptual description
|
I describe several broad features of a programme to understand gravity as an
emergent, long wavelength, phenomenon (like elasticity) and discuss one
concrete framework for realizing this paradigm in the backdrop of several
recent results.
|
gr-qc astro-ph hep-th
|
i describe several broad features of a programme to understand gravity as an emergent long wavelength phenomenon like elasticity and discuss one concrete framework for realizing this paradigm in the backdrop of several recent results
|
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|
[-0.09853425872113024, 0.07687388435380334, -0.09677518521036421, 0.0856923254040469, -0.0984528717717954, -0.18082974889714803, -0.08035134614578315, 0.3459317986454282, -0.2977082853072456, -0.30087915895107603, 0.12743157873129737, -0.20085906176162618, -0.2236012571624347, 0.2201203486749104, -0.054526411928236485, 0.026942980076585497, -0.06848091618823153, -0.038561285100877286, -0.01949340666511229, -0.16002742586923496, 0.28929777022983344, 0.09261612613835106, 0.2960836590932948, 0.0903144166671804, 0.05567773934453726, -0.05120472345235092, -0.05489635285256164, 0.03799098868455206, -0.16050653380474875, 0.11670561693608761, 0.2876335909989263, 0.16318769098392555, 0.33622478310550963, -0.44785275544439046, -0.31058100736034766, 0.01727902399642127, 0.10153705743806703, 0.18156341394143446, -0.08098793013819626, -0.2658687372292791, 0.001204073615372181, -0.24477324413933924, -0.21458922177553177, -0.10886192231306008, 0.06035363349531378, -0.043246748138751304, -0.161570471738066, -0.04722856078629515, 0.07866690124252013, 0.0748790729790926, -0.06981253698468208, -0.07456180104719741, 0.0961048996275557, 0.0967242904406573, 0.09608165419527463, 0.003078964718484453, 0.05628950337413698, -0.18237720671375948, -0.1786607481007065, 0.432478518145425, -0.09711049783342918, -0.0650738963337582, 0.22121534049510955, -0.08097149048532759, -0.19274274914392403, 0.029588530052985465, 0.17446617009118198, 0.11296736021093758, -0.13829268714679138, 0.03133681179523202, -0.03247852981356638, 0.10570929291924196, 0.0007887025147543422, 0.13515197797013181, 0.31424321638686314, 0.2493207791021892, -0.01261963579537613, 0.11443800843054695, -0.04853893417332854, -0.1331070510936635, -0.3584510578906962, -0.2066800307748573, -0.0970886005288256, -0.0022607281471469574, -0.07092574981132722, -0.15677495008068426, 0.42378905596477645, 0.2151938241507326, 0.22982647134509274, 0.017171632471893516, 0.23820645864387707, 0.0036188796395435928, 0.054758454739515273, -0.03570105654320547, 0.2523272489862783, 0.10527530839400633, 0.1360503800412906, -0.1920952224837882, -0.025453645812480576, 0.028260461427271365]
|
706.1655
|
Pascal's triangle and word bases for blob algebra ideals
|
We give an elementary proof of isomorphism of the blob (diagram) algebra and
the corresponding extended Temperley-Lieb algebra (defined by presentation).
|
math.RT
|
we give an elementary proof of isomorphism of the blob diagram algebra and the corresponding extended temperleylieb algebra defined by presentation
|
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|
[-0.1261012660605567, 0.08084856186663576, -0.11840331687458924, 0.1025219734846836, -0.1758651145999985, -0.1359450640156865, -0.035719916135782286, 0.30373333891232807, -0.37297251927001135, -0.26917916742552606, 0.122119736968584, -0.16082295846371425, -0.11775474436858314, 0.16071758729716143, -0.11406279639119193, -0.13588527873868034, 0.06566898744287235, 0.10948282819507378, -0.1467636509221934, -0.2102604266699581, 0.3795756141078614, 0.014071892059984662, 0.19082467546243043, 0.007950067874931153, 0.14359026952158838, 0.10373981514324744, -0.09297287960847218, -0.03136933082714677, -0.23419375393894457, 0.12757882564550355, 0.29449558577367235, 0.11937406357555162, 0.061418862348156314, -0.35865720569910037, 0.07003733482477921, 0.08312914343107314, 0.28102294898902375, 0.005560357744495074, -0.03811758539328972, -0.33415795844935237, -0.004690267589120637, -0.3283127298844712, -0.16240543847726213, 0.0037962388956830615, 0.1012401965757211, -0.03405165246554783, -0.1357455283758186, -0.034688023451183526, 0.16846526077105886, 0.23891397046723536, -0.073815321727168, -0.08411249270041783, -0.037020220953438966, 0.02055475213343189, -0.16574866457709245, 0.04860019182697648, 0.18154209082768785, -0.07990682231528419, -0.21855296638040317, 0.331974049054441, 0.06093372417879956, -0.1375305846865688, 0.10310101553442932, -0.12862705104496508, -0.1358713089000611, 0.13156617007085256, -0.0618967738534723, 0.039407611514131226, -0.0392225200665139, 0.2377975086343386, -0.18910269443655298, 0.04981980304278079, 0.04211788008078223, -0.04357646968925283, 0.10573086825509866, 0.08893541681269805, 0.010814599515426727, 0.27079024875447866, 0.17316606401332788, -0.04697056575900033, -0.4395918743241401, -0.22055381620191924, -0.10618702124892956, 0.09731712422910191, -0.12743989748456183, -0.24520695892473063, 0.4480285956746056, 0.15180462616540136, 0.17462208725157238, 0.10785263212442044, 0.1374277696678681, 0.15546835657386554, 0.10813712406282623, 0.0002575419133617764, 0.07405892353770989, 0.3551320062972428, -0.0007298644521229324, -0.14614776929929144, -0.108640473823817, 0.4188125779231389]
|
706.1656
|
Millisecond pulsars around intermediate-mass black holes in globular
clusters
|
We study the process of dynamical capture of a millisecond pulsar (MSP) by a
single or binary IMBH, simulating various types of single-binary and
binary-binary encounters. It is found that [IMBH,MSP] binaries form over cosmic
time in a cluster, via encounters of wide--orbit binary MSPs off the single
IMBH, and at a lower pace, via interactions of (binary or single) MSPs with the
IMBH orbited by a typical cluster star. The formation of an [IMBH,MSP] system
is strongly inhibited if the IMBH is orbited by a stellar mass black hole. The
[IMBH,MSP] binaries that form are relatively short-lived, $\lsim 10^{8-9}$ yr,
since their orbits decay via emission of gravitational waves. The detection of
an [IMBH,MSP] system has a low probability of occurrence, when inferred from
the current sample of MSPs in GCs. If next generation radio telescopes, like
SKA, will detect an order of magnitude larger population of MSP in GCs, at
least one [IMBH,MSP] is expected. Therefore, a complete search for
low-luminosity MSPs in the GCs of the Milky Way with SKA will have the
potential of testing the hypothesis that IMBHs of order $100 \msun$ are
commonly hosted in GCs.
|
astro-ph
|
we study the process of dynamical capture of a millisecond pulsar msp by a single or binary imbh simulating various types of singlebinary and binarybinary encounters it is found that imbhmsp binaries form over cosmic time in a cluster via encounters of wideorbit binary msps off the single imbh and at a lower pace via interactions of binary or single msps with the imbh orbited by a typical cluster star the formation of an imbhmsp system is strongly inhibited if the imbh is orbited by a stellar mass black hole the imbhmsp binaries that form are relatively shortlived lsim 1089 yr since their orbits decay via emission of gravitational waves the detection of an imbhmsp system has a low probability of occurrence when inferred from the current sample of msps in gcs if next generation radio telescopes like ska will detect an order of magnitude larger population of msp in gcs at least one imbhmsp is expected therefore a complete search for lowluminosity msps in the gcs of the milky way with ska will have the potential of testing the hypothesis that imbhs of order 100 msun are commonly hosted in gcs
|
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|
[-0.14956976514940834, 0.1651480860354392, -0.0557297966021603, 0.1511013724754946, -0.09864900987425547, -0.05873989975286046, 0.07860639602282997, 0.3497585917987938, -0.15896353717592623, -0.3498376937301752, 0.06152713180866461, -0.3146743317289899, -0.02991782054596115, 0.26354606572931516, 0.006141606982661567, -0.03934214765467914, 0.1446327277638678, 0.005684015729760479, -0.037537432867490374, -0.2961367717500707, 0.3110914854211539, 0.08083317040533682, 0.0650253059672347, -0.09713607339654118, 0.08123853990340042, -0.05830749761419914, 0.030423849855045166, -0.07303501385225293, -0.08880380949445528, 0.02259903066563614, 0.24009380658753798, 0.17873245453908262, 0.23056540700781625, -0.3818433907046028, -0.18090690783719765, 0.10911245214030411, 0.2386683010129976, 0.04932917358382838, -0.1151337730892313, -0.28766281187745335, 0.1371811589876112, -0.28286794366916485, -0.18514724701284044, 0.08872309965469564, 0.0864604085800238, 0.05055270453037034, -0.193869750462909, 0.13380354023198984, 0.060330936002325565, -0.0022522939314815935, -0.10933492229135784, -0.05069845174512011, -0.025033216263182112, 0.03605760047215275, 0.05298968173625932, 0.07555248519808326, 0.1619066068982041, -0.12080243515644422, -0.09361875818528158, 0.4050914654556739, -0.03228441402279714, -0.009107672369282227, 0.23010277123345682, -0.24428448940549666, -0.19044467961793998, 0.14147997487695343, 0.19648481178834723, 0.1460755095067725, -0.1995877832127159, 0.010337648369538025, 0.007987418283998219, 0.24514579490642063, 0.08092299989463451, 0.03385747520951554, 0.4269056978664594, 0.19063286612951438, 0.0633160177397561, 0.08204634409533658, -0.20940646721282974, -0.021327003191496868, -0.14987240955330586, -0.08406448698830597, -0.1470630703261122, 0.12017073456930423, -0.13285011504907138, -0.13837252114414392, 0.30494570958823414, 0.05729616400518959, 0.16375645078975745, 0.03529885173338698, 0.2867030526540475, 0.11202621630764042, 0.11208753581619628, 0.10987179363170678, 0.3071035260048423, 0.14381809873035914, 0.014536941687765648, -0.2269959777671223, 0.11602388731989777, -0.023374276876666045]
|
706.1657
|
Dynamical Heterogeneity and Nonlinear Susceptibility in Short-Ranged
Attractive Supercooled Liquids
|
Recent work has demonstrated the strong qualitative differences between the
dynamics near a glass transition driven by short-ranged repulsion and one
governed by short-ranged attraction. Here, we study in detail the behavior of
non-linear, higher-order correlation functions that measure the growth of
length scales associated with dynamical heterogeneity in both types of systems.
We find that this measure is qualitatively different in the repulsive and
attractive cases with regards to the wave vector dependence as well as the time
dependence of the standard non-linear four-point dynamical susceptibility. We
discuss the implications of these results for the general understanding of
dynamical heterogeneity in glass-forming liquids.
|
cond-mat.stat-mech
|
recent work has demonstrated the strong qualitative differences between the dynamics near a glass transition driven by shortranged repulsion and one governed by shortranged attraction here we study in detail the behavior of nonlinear higherorder correlation functions that measure the growth of length scales associated with dynamical heterogeneity in both types of systems we find that this measure is qualitatively different in the repulsive and attractive cases with regards to the wave vector dependence as well as the time dependence of the standard nonlinear fourpoint dynamical susceptibility we discuss the implications of these results for the general understanding of dynamical heterogeneity in glassforming liquids
|
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|
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|
706.1658
|
Limits to the diffuse flux of UHE tau neutrinos at EeV energies from the
Pierre Auger Observatory
|
With the Pierre Auger Observatory we have the capability of detecting
ultra-high energy neutrinos by searching for very inclined showers with a
significant electromagnetic component. In this work we discuss the
discrimination power of the instrument for earth skimming tau neutrinos with
ultra-high energies. Based on the data collected since January 2004 an upper
limit to the diffuse flux of neutrinos atEeV energies is presented and
systematic uncertainties are discussed.
|
astro-ph
|
with the pierre auger observatory we have the capability of detecting ultrahigh energy neutrinos by searching for very inclined showers with a significant electromagnetic component in this work we discuss the discrimination power of the instrument for earth skimming tau neutrinos with ultrahigh energies based on the data collected since january 2004 an upper limit to the diffuse flux of neutrinos ateev energies is presented and systematic uncertainties are discussed
|
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|
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|
706.1659
|
Hybrid Quasicrystals, Transport and Localization in Products of Minimal
Sets
|
We consider convex combinations of finite-valued almost periodic sequences
(mainly substitution sequences) and put them as potentials of one-dimensional
tight-binding models. We prove that these sequences are almost periodic. We
call such combinations {\em hybrid quasicrystals} and these studies are related
to the minimality, under the shift on both coordinates, of the product space of
the respective (minimal) hulls. We observe a rich variety of behaviors on the
quantum dynamical transport ranging from localization to transport.
|
math-ph math.MP
|
we consider convex combinations of finitevalued almost periodic sequences mainly substitution sequences and put them as potentials of onedimensional tightbinding models we prove that these sequences are almost periodic we call such combinations em hybrid quasicrystals and these studies are related to the minimality under the shift on both coordinates of the product space of the respective minimal hulls we observe a rich variety of behaviors on the quantum dynamical transport ranging from localization to transport
|
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|
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|
706.166
|
Brane Tilings
|
We review and extend the progress made over the past few years in
understanding the structure of toric quiver gauge theories; those which are
induced on the world-volume of a stack of D3-branes placed at the tip of a
toric Calabi-Yau cone, at an ``orbifold point'' in Kaehler moduli space. These
provide an infinite class of four-dimensional N=1 superconformal field theories
which may be studied in the context of the AdS/CFT correspondence. It is now
understood that these gauge theories are completely specified by certain
two-dimensional torus graphs, called brane tilings, and the combinatorics of
the dimer models on these graphs. In particular, knowledge of the dual
Sasaki-Einstein metric is not required to determine the gauge theory, only
topological and symplectic properties of the toric Calabi-Yau cone. By
analyzing the symmetries of the toric quiver theories we derive the dimer
models and use them to construct the moduli space of the theory both
classically and semiclassically. Using mirror symmetry the brane tilings are
shown to arise in string theory on the world-volumes of the fractional
D6-branes that are mirror to the stack of D3-branes at the tip of the cone.
|
hep-th
|
we review and extend the progress made over the past few years in understanding the structure of toric quiver gauge theories those which are induced on the worldvolume of a stack of d3branes placed at the tip of a toric calabiyau cone at an orbifold point in kaehler moduli space these provide an infinite class of fourdimensional n1 superconformal field theories which may be studied in the context of the adscft correspondence it is now understood that these gauge theories are completely specified by certain twodimensional torus graphs called brane tilings and the combinatorics of the dimer models on these graphs in particular knowledge of the dual sasakieinstein metric is not required to determine the gauge theory only topological and symplectic properties of the toric calabiyau cone by analyzing the symmetries of the toric quiver theories we derive the dimer models and use them to construct the moduli space of the theory both classically and semiclassically using mirror symmetry the brane tilings are shown to arise in string theory on the worldvolumes of the fractional d6branes that are mirror to the stack of d3branes at the tip of the cone
|
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|
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|
706.1661
|
Quantum electrodynamics and experiment demonstrate the non-retarded
nature of electrodynamical force fields
|
In quantum electrodynamics, the quantitatively most successful theory in the
history of science, intercharge forces obeying the inverse square law are due
to the exchange of space-like virtual photons. The fundamental quantum process
underlying applications as diverse as the gyromagnetic ratio of the electron
and electrical machinery is then M{\o}ller scattering $ee \to ee$. Analysis of
the quantum amplitude for this process shows that the corresponding intercharge
force acts instantaneously. This prediction has been verified in a recent
experiment.
|
physics.class-ph
|
in quantum electrodynamics the quantitatively most successful theory in the history of science intercharge forces obeying the inverse square law are due to the exchange of spacelike virtual photons the fundamental quantum process underlying applications as diverse as the gyromagnetic ratio of the electron and electrical machinery is then moller scattering ee to ee analysis of the quantum amplitude for this process shows that the corresponding intercharge force acts instantaneously this prediction has been verified in a recent experiment
|
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|
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|
706.1662
|
Temperature dependence of magnetic anisotropy in bulk and nanoparticles
of Pr_0.5Sr_0.5MnO_3
|
Nanoparticles (size 20, 40 and 60 nm) of Pr_0.5Sr_0.5MnO_3 are prepared by
sol-gel technique and their magnetic properties are studied using ferromagnetic
resonance and magnetization measurements. A comparison with the properties of
the bulk material shows that the ferromagnetic transition at 265 K remains
unaffected but the anti-ferromagnetic transition at T_N = 150 K disappears in
the nanoparticles. Further, the temperature dependence of magnetic anisotropy
shows a complex behavior, being higher in the nanoparticles at high
temperatures and lower at lower temperatures in comparison with the bulk.
|
cond-mat.str-el cond-mat.mtrl-sci
|
nanoparticles size 20 40 and 60 nm of pr_05sr_05mno_3 are prepared by solgel technique and their magnetic properties are studied using ferromagnetic resonance and magnetization measurements a comparison with the properties of the bulk material shows that the ferromagnetic transition at 265 k remains unaffected but the antiferromagnetic transition at t_n 150 k disappears in the nanoparticles further the temperature dependence of magnetic anisotropy shows a complex behavior being higher in the nanoparticles at high temperatures and lower at lower temperatures in comparison with the bulk
|
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|
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|
706.1663
|
Stability of the Einstein static universe in f(R) gravity
|
We analyze the stability of the Einstein static universe by considering
homogeneous scalar perturbations in the context of f(R) modified theories of
gravity. By considering specific forms of f(R), the stability regions of the
solutions are parameterized by a linear equation of state parameter w=p/rho.
Contrary to classical general relativity, it is found that in f(R) gravity a
stable Einstein cosmos with a positive cosmological constant does indeed exist.
Thus, we are lead to conclude that, in principle, modifications in f(R) gravity
stabilize solutions which are unstable in general relativity.
|
gr-qc astro-ph hep-th
|
we analyze the stability of the einstein static universe by considering homogeneous scalar perturbations in the context of fr modified theories of gravity by considering specific forms of fr the stability regions of the solutions are parameterized by a linear equation of state parameter wprho contrary to classical general relativity it is found that in fr gravity a stable einstein cosmos with a positive cosmological constant does indeed exist thus we are lead to conclude that in principle modifications in fr gravity stabilize solutions which are unstable in general relativity
|
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|
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|
706.1664
|
A new young stellar cluster embedded in a molecular cloud in the far
outer Galaxy
|
We report the discovery of a new young stellar cluster and molecular cloud
located in the far outer Galaxy, seen towards IRAS 06361-0142, and we
characterise their properties. Near-infrared images were obtained with
VLT/ISAAC through JHKs filters, millimetre line observations of CO(1-0) were
obtained with SEST, and VLA 6 cm continuum maps obtained from archive data. The
cloud and cluster are located at a distance of 7 kpc and a Galactocentric
distance of 15 kpc, well in the far outer Galaxy. Morphologically, IRAS
06361-0142 appears as a cluster of several tens of stars surrounded by a nearly
spherical nebular cavity centred at the position of the IRAS source. The
cluster appears composed of low and intermediate-mass, young reddened stars
with a large fraction having cleared the inner regions of their circumstellar
discs responsible for (H - Ks) colour excess. The observations are compatible
with a 4 Myr cluster with variable spatial extinction between Av = 6 and Av =
13.
|
astro-ph
|
we report the discovery of a new young stellar cluster and molecular cloud located in the far outer galaxy seen towards iras 063610142 and we characterise their properties nearinfrared images were obtained with vltisaac through jhks filters millimetre line observations of co10 were obtained with sest and vla 6 cm continuum maps obtained from archive data the cloud and cluster are located at a distance of 7 kpc and a galactocentric distance of 15 kpc well in the far outer galaxy morphologically iras 063610142 appears as a cluster of several tens of stars surrounded by a nearly spherical nebular cavity centred at the position of the iras source the cluster appears composed of low and intermediatemass young reddened stars with a large fraction having cleared the inner regions of their circumstellar discs responsible for h ks colour excess the observations are compatible with a 4 myr cluster with variable spatial extinction between av 6 and av 13
|
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|
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|
706.1665
|
Another Proof of Wright's Inequalities
|
We present a short way of proving the inequalities obtained by Wright in
[Journal of Graph Theory, 4: 393 - 407 (1980)] concerning the number of
connected graphs with $\ell$ edges more than vertices.
|
cs.DM math.CO
|
we present a short way of proving the inequalities obtained by wright in journal of graph theory 4 393 407 1980 concerning the number of connected graphs with ell edges more than vertices
|
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|
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|
706.1666
|
x-Evolution of Phenomenological Dipole Cross Sections
|
Deep inelastic scattering at small x can be described very effectively using
saturation inspired dipole models. We investigate whether such models are
compatible with the numerical solutions of the Balitsky-Kovchegov (BK) equation
which is expected to describe the nonlinear evolution in x of the dipole cross
section. We find that the BK equation yields results that are qualitatively
different from those of phenomenological studies. Geometric scaling is
recovered only towards asymptotic rapidities. In this limit the value of the
anomalous dimension gamma(r,x) at the saturation scale approaches approximately
0.44, in contrast to the value 0.63 commonly used in the models.
|
hep-ph
|
deep inelastic scattering at small x can be described very effectively using saturation inspired dipole models we investigate whether such models are compatible with the numerical solutions of the balitskykovchegov bk equation which is expected to describe the nonlinear evolution in x of the dipole cross section we find that the bk equation yields results that are qualitatively different from those of phenomenological studies geometric scaling is recovered only towards asymptotic rapidities in this limit the value of the anomalous dimension gammarx at the saturation scale approaches approximately 044 in contrast to the value 063 commonly used in the models
|
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|
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|
706.1667
|
On the Moduli Space of non-BPS Attractors for N=2 Symmetric Manifolds
|
We study the ``flat'' directions of non-BPS extremal black hole attractors
for N=2, d=4 supergravities whose vector multiplets' scalar manifold is endowed
with homogeneous symmetric special Kahler geometry. The non-BPS attractors with
non-vanishing central charge have a moduli space described by real special
geometry (and thus related to the d=5 parent theory), whereas the moduli spaces
of non-BPS attractors with vanishing central charge are certain Kahler
homogeneous symmetric manifolds. The moduli spaces of the non-BPS attractors of
the corresponding N=2, d=5 theories are also indicated, and shown to be rank-1
homogeneous symmetric manifolds.
|
hep-th
|
we study the flat directions of nonbps extremal black hole attractors for n2 d4 supergravities whose vector multiplets scalar manifold is endowed with homogeneous symmetric special kahler geometry the nonbps attractors with nonvanishing central charge have a moduli space described by real special geometry and thus related to the d5 parent theory whereas the moduli spaces of nonbps attractors with vanishing central charge are certain kahler homogeneous symmetric manifolds the moduli spaces of the nonbps attractors of the corresponding n2 d5 theories are also indicated and shown to be rank1 homogeneous symmetric manifolds
|
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|
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|
706.1668
|
Controlling Secondary Structures of Bio-Polymers with Hydrogen-Like
Bonding
|
We present results for a lattice model of bio-polymers where the type of
$\beta$-sheet formation can be controlled by different types of hydrogen bonds
depending on the relative orientation of close segments of the polymer. Tuning
these different interaction strengths leads to low-temperature structures with
different types of orientational order. We perform simulations of this model
and so present the phase diagram, ascertaining the nature of the phases and the
order of the transitions between these phases.
|
cond-mat.soft cond-mat.stat-mech
|
we present results for a lattice model of biopolymers where the type of betasheet formation can be controlled by different types of hydrogen bonds depending on the relative orientation of close segments of the polymer tuning these different interaction strengths leads to lowtemperature structures with different types of orientational order we perform simulations of this model and so present the phase diagram ascertaining the nature of the phases and the order of the transitions between these phases
|
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|
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|
706.1669
|
The Elongated Structure of the Hercules dSph from Deep LBT Imaging
|
We present a deep, wide-field photometric survey of the newly-discovered
Hercules dwarf spheroidal galaxy, based on data from the Large Binocular
Telescope. Images in B, V and r were obtained with the Large Binocular Camera
covering a 23' times 23' field of view to a magnitude of ~25.5 (5 sigma). This
permitted the construction of colour-magnitude diagrams that reach
approximately 1.5 magnitudes below the Hercules main sequence turnoff.
Three-filter photometry allowed us to preferentially select probable Hercules
member stars, and examine the structure of this system at a previously
unattained level. We find that the Hercules dwarf is highly elongated (3:1),
considerably more so than any other dSph satellite of the Milky Way except the
disrupting Sagittarius dwarf. While we cannot rule out that the unusual
structure is intrinsic to Hercules as an equilibrium system, our results
suggest tidal disruption as a likely cause of this highly elliptical structure.
Given the relatively large Galactocentric distance of this system (132 +/- 12
kpc), signs of tidal disruption would require the Hercules dwarf to be on a
highly eccentric orbit around the Milky Way.
|
astro-ph
|
we present a deep widefield photometric survey of the newlydiscovered hercules dwarf spheroidal galaxy based on data from the large binocular telescope images in b v and r were obtained with the large binocular camera covering a 23 times 23 field of view to a magnitude of 255 5 sigma this permitted the construction of colourmagnitude diagrams that reach approximately 15 magnitudes below the hercules main sequence turnoff threefilter photometry allowed us to preferentially select probable hercules member stars and examine the structure of this system at a previously unattained level we find that the hercules dwarf is highly elongated 31 considerably more so than any other dsph satellite of the milky way except the disrupting sagittarius dwarf while we cannot rule out that the unusual structure is intrinsic to hercules as an equilibrium system our results suggest tidal disruption as a likely cause of this highly elliptical structure given the relatively large galactocentric distance of this system 132 12 kpc signs of tidal disruption would require the hercules dwarf to be on a highly eccentric orbit around the milky way
|
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|
[-0.11628012008968854, 0.04202651681327632, -0.135214553667478, 0.07003237948379387, -0.16798577070041754, -0.0713643119268274, 0.07902204921753095, 0.3905751367846688, -0.1760550238534931, -0.3940133885019919, 0.01764355991470658, -0.28441164316097783, -0.0913647647849847, 0.20598307122722023, -0.07854394407579574, -0.05765575575220122, 0.13448544372267163, -0.056665412468866416, -0.06299166727150984, -0.29284619716645965, 0.2578400442079938, 0.0354700208637431, 0.11415863333520694, -0.14948929353248697, 0.05737740632497122, -0.059364913179856406, -0.043846311715462216, -0.029221693273879343, -0.1457359809850219, 0.025323303672229194, 0.22443848824803972, 0.08333782917195624, 0.23409616476523556, -0.3247648762835824, -0.1358349288755882, 0.03571445628959727, 0.22301855564864537, 0.038911176966963806, -0.0691630990071904, -0.32645676550417013, 0.12147289530692652, -0.2021353753855462, -0.23000013527900473, 0.07807674946693274, 0.09849777109671518, 0.010973543148413608, -0.20674225284204983, 0.09342479931413206, 0.04804134799761104, 0.12736558074331178, -0.11564652753256999, -0.12983337759902536, -0.05231488159452156, 0.06766563900592891, 0.0003356847292897138, 0.12778884241857008, 0.19151157130497498, -0.11817537535462978, 0.01594017705992683, 0.4139982177006019, -0.08098051660084281, 0.03724568414982859, 0.2249178035724601, -0.23935009186299375, -0.19586810530521548, 0.1173635301644566, 0.13362266024917488, 0.11210363154468424, -0.20633715610269324, 0.023279667675244406, -0.0513089126190887, 0.21109510625835384, 0.0641503545793367, 0.039665031136902035, 0.32254396463427076, 0.12423953930796175, 0.10963877913501155, 0.04220181459319205, -0.30105553930727663, -0.0031475858567129042, -0.22064575296059086, -0.07283463928567702, -0.10990058927755844, 0.08972125987729869, -0.14580512910829935, -0.14224043989216315, 0.34664844029460223, 0.13960879522690467, 0.25508030365361284, 0.017475667928990263, 0.294181725198971, 0.0203625153523747, 0.19396614964832654, 0.12052741321827193, 0.3061177261598449, 0.12494003845015439, 0.050977480271575296, -0.20669735208598916, 0.06399800755776935, -0.016071168608595053]
|
706.167
|
Strong dipolar effects in a quantum ferrofluid
|
We report on the realization of a Chromium Bose-Einstein condensate (BEC)
with strong dipolar interaction. By using a Feshbach resonance, we reduce the
usual isotropic contact interaction, such that the anisotropic magnetic
dipole-dipole interaction between 52Cr atoms becomes comparable in strength.
This induces a change of the aspect ratio of the cloud, and, for strong dipolar
interaction, the inversion of ellipticity during expansion - the usual "smoking
gun" evidence for BEC - can even be suppressed. These effects are accounted for
by taking into account the dipolar interaction in the superfluid hydrodynamic
equations governing the dynamics of the gas, in the same way as classical
ferrofluids can be described by including dipolar terms in the classical
hydrodynamic equations. Our results are a first step in the exploration of the
unique properties of quantum ferrofluids.
|
cond-mat.other
|
we report on the realization of a chromium boseeinstein condensate bec with strong dipolar interaction by using a feshbach resonance we reduce the usual isotropic contact interaction such that the anisotropic magnetic dipoledipole interaction between 52cr atoms becomes comparable in strength this induces a change of the aspect ratio of the cloud and for strong dipolar interaction the inversion of ellipticity during expansion the usual smoking gun evidence for bec can even be suppressed these effects are accounted for by taking into account the dipolar interaction in the superfluid hydrodynamic equations governing the dynamics of the gas in the same way as classical ferrofluids can be described by including dipolar terms in the classical hydrodynamic equations our results are a first step in the exploration of the unique properties of quantum ferrofluids
|
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|
[-0.17810275021518907, 0.2063600033218267, -0.05447788070887327, 0.06355549990125424, -0.02696278605920573, -0.10443638977030235, -0.029223420510816417, 0.3231158343595312, -0.2465765761550177, -0.28568862676338264, -0.015543214990457549, -0.2481914531072658, -0.10529797077073123, 0.17891019325576385, 0.10222814856167657, -0.011544905830471014, 0.03644644871537545, -0.017249866826177546, -0.06769899629183453, -0.20860019496864302, 0.32612493011931126, 0.02649873516532931, 0.2602598254540653, 0.11279522786340253, 0.0493888902357977, 0.030404972649800282, 0.06625840555749495, 0.03255792446152279, -0.13718115869817143, 0.05659871215395855, 0.18269124450241428, -0.039166509667693666, 0.2199531848344839, -0.47672753927834105, -0.2127835302557232, 0.08197379905984482, 0.1985284488464734, 0.19253628318212135, -0.06094735357504705, -0.3369688849726861, -0.02807632384991104, -0.1905351804188368, -0.15730292281262914, -0.10103179673156278, 0.006704196270385926, 0.08846108786493653, -0.2762364506312279, 0.13313885514313975, 0.13524021034016076, 0.08077048341687204, -0.10403446901843628, -0.06309972375377336, 0.02314732148784749, 0.0779902955206732, 0.020622624260740297, 0.0239119582499067, 0.14770444195936294, -0.2026369906573867, -0.05219166476110166, 0.43411997564588534, -0.15555508875034071, -0.14339407592673192, 0.1854054097396632, -0.13756933231894491, -0.049363622670308825, 0.14698904435411378, 0.16746416548972554, 0.054484780373362206, -0.11668925178872253, 0.07624388448008783, -0.03184305949164837, 0.15841898062463963, 0.03819802426027529, 0.029769814107567072, 0.29391228344827663, 0.18409676288226337, -0.010207499250430952, 0.17945117776451464, -0.08922528892325124, -0.1366657856075714, -0.273827927980826, -0.15864095809361475, -0.19985648373205384, 0.046467111160216686, -0.09073815663787448, -0.1382716870478665, 0.33772155367345974, 0.135290462963784, 0.18266099724728105, -0.056457025789175976, 0.2965300308371132, 0.13896363101208187, 0.0767310807978819, -0.010512359754295287, 0.3356936909187811, 0.16352911331077022, 0.07664814050252916, -0.31464464500348904, 0.06346748402134064, 0.06046167799186977]
|
706.1671
|
Symplectic Structure of the Real Ginibre Ensemble
|
We give a simple derivation of all $n$-point densities for the eigenvalues of
the real Ginibre ensemble with even dimension $N$ as quaternion determinants. A
very simple symplectic kernel governs both, the real and complex correlations.
1-and-2-point correlations are discussed in more detail. Scaling forms for
large dimension $N$ are derived.
|
cond-mat.stat-mech
|
we give a simple derivation of all npoint densities for the eigenvalues of the real ginibre ensemble with even dimension n as quaternion determinants a very simple symplectic kernel governs both the real and complex correlations 1and2point correlations are discussed in more detail scaling forms for large dimension n are derived
|
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|
[-0.17326571381418035, 0.1451752762310207, -0.03754061179235577, 0.1613150321505964, -0.003102653780952096, -0.1354187353514135, -0.08223640572046861, 0.35264968547970055, -0.17200498349964619, -0.218937571272254, 0.057369987068232146, -0.301417334433645, -0.23953739655204118, 0.19278951022773982, 0.03502363312989473, 0.041548590175807476, 0.05573498039040715, 0.08073090174933896, -0.12268856046255677, -0.27870830334722996, 0.36971004858613016, 0.01086322166956961, 0.21715438834857195, 0.027304239673539996, 0.10130120982415974, 0.030953933028504254, -0.019401082880795003, -0.006083145670127124, -0.05452339475974441, 0.10758438345044852, 0.2863663129298948, 0.08877893166616559, 0.16787872241809965, -0.4018540059775114, -0.16585594804026185, 0.1759205917827785, 0.17834830242209138, 0.05092908191494644, -0.013720340278523509, -0.2478714318573475, 0.034461123533546925, -0.1395308693498373, -0.2173926438484341, -0.19350329965818674, 0.10641026102006436, 0.013690968714654446, -0.2982722140476108, 0.093107111598365, 0.061090274862945076, 0.11828177200630308, -0.014380785077810288, -0.20790280930697919, 0.042797855958342554, 0.14242007967550308, -0.0509809534996748, -0.08963795516639948, 0.09564035122282803, -0.0993082881718874, -0.06429821448400616, 0.3654771413188428, 0.0025097481720149518, -0.27919064174406233, 0.17101878650020808, -0.2023959205020219, -0.14282126764766873, 0.102969442717731, 0.13674928560853006, 0.0973506552912295, -0.11499136690050364, 0.15827850941452198, -0.06662794664502143, 0.09767731804400683, 0.08700806353182998, 0.025002133473753928, 0.0956934279948473, 0.08921200581360608, 0.05150153005262837, 0.10895364539697766, -0.025817745365202427, -0.16598670077510178, -0.3348362317122519, -0.17499632738530635, -0.2519771522865631, 0.14329507067799568, -0.23401542453997537, -0.19365150924772023, 0.3690247022081167, 0.06218909997493029, 0.2892294150032103, 0.15811754241585732, 0.2270157727971673, 0.16262063648318872, 0.0495600057952106, 0.07082975244149566, 0.09812546119093896, 0.2147587510570884, 0.03642967727035284, -0.15889772832393645, -0.029997840048745273, 0.09703691930975765]
|
706.1672
|
Resonant phenomena in extended chaotic systems subject to external
noise: the Lorenz'96 model case
|
We investigate the effects of a time-correlated noise on an extended chaotic
system. The chosen model is the Lorenz'96, a kind of "toy" model used for
climate studies. Through the analysis of the system's time evolution and its
time and space correlations, we have obtained numerical evidence for two
stochastic resonance-like behavior. Such behavior is seen when both, the usual
and a generalized signal-to-noise ratio function are depicted as a function of
the external noise intensity or the system size. The underlying mechanism seems
to be associated to a "noise-induced chaos reduction". The possible relevance
of these and other findings for an "optimal" climate prediction are discussed.
|
nlin.CD cond-mat.stat-mech physics.ao-ph
|
we investigate the effects of a timecorrelated noise on an extended chaotic system the chosen model is the lorenz96 a kind of toy model used for climate studies through the analysis of the systems time evolution and its time and space correlations we have obtained numerical evidence for two stochastic resonancelike behavior such behavior is seen when both the usual and a generalized signaltonoise ratio function are depicted as a function of the external noise intensity or the system size the underlying mechanism seems to be associated to a noiseinduced chaos reduction the possible relevance of these and other findings for an optimal climate prediction are discussed
|
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|
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|
706.1673
|
Representations and classification of traveling wave solutions to
Sinh-G{\"o}rdon equation
|
Two concepts named atom solution and combinatory solution are defined. The
classification of all single traveling wave atom solutions to Sinh-G{\"o}rdon
equation is obtained, and qualitative properties of solutions are discussed. In
particular, we point out that some qualitative properties derived intuitively
from dynamic system method aren't true. In final, we prove that our solutions
to Sinh-G{\"o}rdon equation include all solutions obtained in the paper[Fu Z T
et al, Commu. in Theor. Phys.(Beijing) 2006 45 55]. Through an example, we show
how to give some new identities on Jacobian elliptic functions.
|
nlin.SI nlin.PS
|
two concepts named atom solution and combinatory solution are defined the classification of all single traveling wave atom solutions to sinhgordon equation is obtained and qualitative properties of solutions are discussed in particular we point out that some qualitative properties derived intuitively from dynamic system method arent true in final we prove that our solutions to sinhgordon equation include all solutions obtained in the paperfu z t et al commu in theor physbeijing 2006 45 55 through an example we show how to give some new identities on jacobian elliptic functions
|
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|
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|
706.1674
|
Fluctuations of the Casimir-Polder force between an atom and a
conducting wall
|
We consider the quantum fluctuations of the Casimir-Polder force between a
neutral atom and a perfectly conducting wall in the ground state of the system.
In order to obtain the atom-wall force fluctuation we first define an operator
directly associated to the force experienced by the atom considered as a
polarizable body in an electromagnetic field, and we use a time-averaged force
operator in order to avoid ultraviolet divergences appearing in the fluctuation
of the force. This time-averaged force operator takes into account that any
measurement involves a finite time. We also calculate the Casimir-Polder force
fluctuation for an atom between two conducting walls. Experimental
observability of these Casimir-Polder force fluctuations is also discussed, as
well as the dependence of the relative force fluctuation on the duration of the
measurement.
|
quant-ph
|
we consider the quantum fluctuations of the casimirpolder force between a neutral atom and a perfectly conducting wall in the ground state of the system in order to obtain the atomwall force fluctuation we first define an operator directly associated to the force experienced by the atom considered as a polarizable body in an electromagnetic field and we use a timeaveraged force operator in order to avoid ultraviolet divergences appearing in the fluctuation of the force this timeaveraged force operator takes into account that any measurement involves a finite time we also calculate the casimirpolder force fluctuation for an atom between two conducting walls experimental observability of these casimirpolder force fluctuations is also discussed as well as the dependence of the relative force fluctuation on the duration of the measurement
|
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|
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|
706.1675
|
On Phases of Generic Toric Singularities
|
We systematically study the phases of generic toric singularities, using
methods initiated in hep-th/0612046. These correspond to Gauged Linear Sigma
Models with arbitrary charges. We show that complete information about generic
$U(1)^r$ GLSMs can be obtained by studying the GLSM Lagrangian, appropriately
modified in the different phases of the theory. This can be used to study the
different phases of $L^{a,b,c}$ spaces and their non-supersymmetric
counterparts.
|
hep-th
|
we systematically study the phases of generic toric singularities using methods initiated in hepth0612046 these correspond to gauged linear sigma models with arbitrary charges we show that complete information about generic u1r glsms can be obtained by studying the glsm lagrangian appropriately modified in the different phases of the theory this can be used to study the different phases of labc spaces and their nonsupersymmetric counterparts
|
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|
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|
706.1676
|
Discovery of the strongly eccentric, short-period binary nature of the
B-type system HD 313926 by the MOST satellite
|
The MOST photometric space mission discovered an eclipsing binary among its
guide stars in June 2006 which combines a relatively large eccentricity e =
0.20 with an orbital period of only 2.27 days. HD 313926 appears to consist of
two early-type stars of spectral type B3 - B7. It has a largest eccentricity
among known early-type binaries with periods less than 3.5 d. Despite the large
components indicated by its spectral type and light curve model, and its short
period, the orbit of HD 313926 has not yet circularised so it is probably very
young, even compared to other young B stars.
|
astro-ph
|
the most photometric space mission discovered an eclipsing binary among its guide stars in june 2006 which combines a relatively large eccentricity e 020 with an orbital period of only 227 days hd 313926 appears to consist of two earlytype stars of spectral type b3 b7 it has a largest eccentricity among known earlytype binaries with periods less than 35 d despite the large components indicated by its spectral type and light curve model and its short period the orbit of hd 313926 has not yet circularised so it is probably very young even compared to other young b stars
|
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|
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|
706.1677
|
Pure point diffraction implies zero entropy for Delone sets with uniform
cluster frequencies
|
Delone sets of finite local complexity in Euclidean space are investigated.
We show that such a set has patch counting and topological entropy 0 if it has
uniform cluster frequencies and is pure point diffractive. We also note that
the patch counting entropy is 0 whenever the repetitivity function satisfies a
certain growth restriction.
|
math.DS math.CO
|
delone sets of finite local complexity in euclidean space are investigated we show that such a set has patch counting and topological entropy 0 if it has uniform cluster frequencies and is pure point diffractive we also note that the patch counting entropy is 0 whenever the repetitivity function satisfies a certain growth restriction
|
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|
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|
706.1678
|
Nonequilibrium Steady States of Matrix Product Form: A Solver's Guide
|
We consider the general problem of determining the steady state of stochastic
nonequilibrium systems such as those that have been used to model (among other
things) biological transport and traffic flow. We begin with a broad overview
of this class of driven diffusive systems - which includes exclusion processes
- focusing on interesting physical properties, such as shocks and phase
transitions. We then turn our attention specifically to those models for which
the exact distribution of microstates in the steady state can be expressed in a
matrix product form. In addition to a gentle introduction to this matrix
product approach, how it works and how it relates to similar constructions that
arise in other physical contexts, we present a unified, pedagogical account of
the various means by which the statistical mechanical calculations of
macroscopic physical quantities are actually performed. We also review a number
of more advanced topics, including nonequilibrium free energy functionals, the
classification of exclusion processes involving multiple particle species,
existence proofs of a matrix product state for a given model and more
complicated variants of the matrix product state that allow various types of
parallel dynamics to be handled. We conclude with a brief discussion of open
problems for future research.
|
cond-mat.stat-mech
|
we consider the general problem of determining the steady state of stochastic nonequilibrium systems such as those that have been used to model among other things biological transport and traffic flow we begin with a broad overview of this class of driven diffusive systems which includes exclusion processes focusing on interesting physical properties such as shocks and phase transitions we then turn our attention specifically to those models for which the exact distribution of microstates in the steady state can be expressed in a matrix product form in addition to a gentle introduction to this matrix product approach how it works and how it relates to similar constructions that arise in other physical contexts we present a unified pedagogical account of the various means by which the statistical mechanical calculations of macroscopic physical quantities are actually performed we also review a number of more advanced topics including nonequilibrium free energy functionals the classification of exclusion processes involving multiple particle species existence proofs of a matrix product state for a given model and more complicated variants of the matrix product state that allow various types of parallel dynamics to be handled we conclude with a brief discussion of open problems for future research
|
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|
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|
706.1679
|
Ground state solutions for the nonlinear Schrodinger-Maxwell equations
with a singular potential
|
We prove the existence of ground state solutions for the nonlinear
Schrodinger-Maxwell equations with a singular potential.
|
math.AP math-ph math.MP
|
we prove the existence of ground state solutions for the nonlinear schrodingermaxwell equations with a singular potential
|
[['we', 'prove', 'the', 'existence', 'of', 'ground', 'state', 'solutions', 'for', 'the', 'nonlinear', 'schrodingermaxwell', 'equations', 'with', 'a', 'singular', 'potential']]
|
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|
706.168
|
On fundamental groups related to the Hirzebruch surface F_1
|
Given a projective surface and a generic projection to the plane, the braid
monodromy factorization (and thus, the braid monodromy type) of the complement
of its branch curve is one of the most important topological invariants, stable
on deformations. From this factorization, one can compute the fundamental group
of the complement of the branch curve, either in C^2 or in CP^2. In this
article, we show that these groups, for the Hirzebruch surface F_{1,(a,b)}, are
almost-solvable. That is - they are an extension of a solvable group, which
strengthen the conjecture on degeneratable surfaces.
|
math.AG
|
given a projective surface and a generic projection to the plane the braid monodromy factorization and thus the braid monodromy type of the complement of its branch curve is one of the most important topological invariants stable on deformations from this factorization one can compute the fundamental group of the complement of the branch curve either in c2 or in cp2 in this article we show that these groups for the hirzebruch surface f_1ab are almostsolvable that is they are an extension of a solvable group which strengthen the conjecture on degeneratable surfaces
|
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|
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|
706.1681
|
Very large spontaneous electric polarization in BiFeO3 single crystals
at room temperature and its evolution under cycling fields
|
Electric polarization loops are measured at room temperature on highly pure
BiFeO3 single crystals synthesized by a flux growth method. Because the
crystals have a high electrical resistivity, the resulting low leakage currents
allow us to measure a large spontaneous polarization reaching 100
microC.cm^{-2}, a value never reported in the bulk. During electric cycling,
the slow degradation of the material leads to an evolution of the hysteresis
curves eventually preventing full saturation of the crystals.
|
cond-mat.mtrl-sci
|
electric polarization loops are measured at room temperature on highly pure bifeo3 single crystals synthesized by a flux growth method because the crystals have a high electrical resistivity the resulting low leakage currents allow us to measure a large spontaneous polarization reaching 100 microccm2 a value never reported in the bulk during electric cycling the slow degradation of the material leads to an evolution of the hysteresis curves eventually preventing full saturation of the crystals
|
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|
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|
706.1682
|
Asteroseismology of alpha Cen A. Evidence of rotational splitting
|
Asteroseismology provides a unique tool for studying stellar interiors.
Recently p modes have been detected on the bright solar-like star alpha Cen A
thanks to high-precision radial-velocity measurements. However a better
characterisation of these p modes is clearly needed to constrain theoretical
models. We observed alpha Cen A during five nights using the HARPS spectrograph
in order to improve our knowledge of the seismic properties of this star. We
performed high-precision radial-velocity sequences and computed the acoustic
spectrum of alpha Cen A. We identify 34 p modes with angular degree l=0-3 in
the frequency range 1.8-2.9 mHz and amplitude range 13-48 cm/s, in agreement
with previous seismic studies. We find an enhancement of the frequency scatter
with the angular degree l that indicates, considering the high inclination axis
of alpha Cen A, rotational splitting and explains the low values of previously
suggested mode lifetimes. We also derive new values for the small separations
that take the effect of rotational splitting into account . Our seismic study
of alpha Cen A leads to a list of now well identified p-mode frequencies and
shows the importance of taking the rotation into account in order to properly
characterise the p modes even in quite short campaigns.
|
astro-ph
|
asteroseismology provides a unique tool for studying stellar interiors recently p modes have been detected on the bright solarlike star alpha cen a thanks to highprecision radialvelocity measurements however a better characterisation of these p modes is clearly needed to constrain theoretical models we observed alpha cen a during five nights using the harps spectrograph in order to improve our knowledge of the seismic properties of this star we performed highprecision radialvelocity sequences and computed the acoustic spectrum of alpha cen a we identify 34 p modes with angular degree l03 in the frequency range 1829 mhz and amplitude range 1348 cms in agreement with previous seismic studies we find an enhancement of the frequency scatter with the angular degree l that indicates considering the high inclination axis of alpha cen a rotational splitting and explains the low values of previously suggested mode lifetimes we also derive new values for the small separations that take the effect of rotational splitting into account our seismic study of alpha cen a leads to a list of now well identified pmode frequencies and shows the importance of taking the rotation into account in order to properly characterise the p modes even in quite short campaigns
|
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|
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|
706.1683
|
Simple Combined Model for Nonlinear Excitations in DNA
|
We propose a new simple model for DNA denaturation bases on the pendulum
model of Englander\cite{A1} and the microscopic model of Peyrard {\it et
al.},\cite{A3} so called "combined model". The main parameters of our model
are: the coupling constant $k$ along each strand, the mean stretching $y^\ast$
of the hydrogen bonds, the ratio of the damping constant and driven force
$\gamma/F$. We show that both the length $L$ of unpaired bases and the velocity
$v$ of kinks depend on not only the coupling constant $k$ but also the
temperature $T$. Our results are in good agreement with previous works.
|
physics.bio-ph physics.atm-clus
|
we propose a new simple model for dna denaturation bases on the pendulum model of englandercitea1 and the microscopic model of peyrard it et alcitea3 so called combined model the main parameters of our model are the coupling constant k along each strand the mean stretching yast of the hydrogen bonds the ratio of the damping constant and driven force gammaf we show that both the length l of unpaired bases and the velocity v of kinks depend on not only the coupling constant k but also the temperature t our results are in good agreement with previous works
|
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|
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|
706.1684
|
The Total Number of Giant Planets in Debris Disks with Central Clearings
|
Infrared spectra from the Spitzer Space Telescope (SSC) of many debris disks
are well fit with a single black body temperature which suggest clearings
within the disk. We assume that inside the clearing orbital instability due to
planets removes dust generating planetesimal belts and dust generated by the
outer disk that is scattered or drifts into the clearing. From numerical
integrations we estimate a minimum planet spacing required for orbital
instability (and so planetesimal and dust removal) as a function of system age
and planet mass. We estimate that a 10^8 year old debris disk with a dust disk
edge at a radius of 50 AU hosted by an A star must contain approximately 5
Neptune mass planets between the clearing radius and the iceline in order to
remove all primordial objects within it. We infer that known debris disk
systems contain at least a fifth of a Jupiter mass in massive planets. The
number of planets and spacing required is insensitive to the assumed planet
mass. However an order of magnitude higher total mass in planets could reside
in these systems if the planets are more massive.
|
astro-ph
|
infrared spectra from the spitzer space telescope ssc of many debris disks are well fit with a single black body temperature which suggest clearings within the disk we assume that inside the clearing orbital instability due to planets removes dust generating planetesimal belts and dust generated by the outer disk that is scattered or drifts into the clearing from numerical integrations we estimate a minimum planet spacing required for orbital instability and so planetesimal and dust removal as a function of system age and planet mass we estimate that a 108 year old debris disk with a dust disk edge at a radius of 50 au hosted by an a star must contain approximately 5 neptune mass planets between the clearing radius and the iceline in order to remove all primordial objects within it we infer that known debris disk systems contain at least a fifth of a jupiter mass in massive planets the number of planets and spacing required is insensitive to the assumed planet mass however an order of magnitude higher total mass in planets could reside in these systems if the planets are more massive
|
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|
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|
706.1685
|
Theory on Plasmon Modes of the Cell Membranes
|
Considering the plasmon oscillation of each layer of the cell membranes as a
quasi-particle, we introduce a simple model for the membrane collective charge
excitations, take into account the surface effective potential of the
plasmon-plasmon interaction between two layers. By using the useful Bogoliubov
transformation method, we easily obtained the expressions of the frequencies of
plasmon oscillations as a function of wave-number $k$ and membrane thickness
$d$, magnitude of these frequencies is in the order of $\sqrt{kd}$. Our results
are in good agreement with ones obtained by E. Manousakis.
|
physics.bio-ph physics.gen-ph
|
considering the plasmon oscillation of each layer of the cell membranes as a quasiparticle we introduce a simple model for the membrane collective charge excitations take into account the surface effective potential of the plasmonplasmon interaction between two layers by using the useful bogoliubov transformation method we easily obtained the expressions of the frequencies of plasmon oscillations as a function of wavenumber k and membrane thickness d magnitude of these frequencies is in the order of sqrtkd our results are in good agreement with ones obtained by e manousakis
|
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|
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|
706.1686
|
A classification of CO spaces which are continuous images of compact
ordered spaces
|
A compact Hausdorff space X is called a CO space, if every closed subset of X
is homeomorphic to an open subset of X. Every successor ordinal with its order
topology is a CO space. We find an explicit characterization of the class K of
CO spaces which are a continuous image of a Dedkind complete totally ordered
set. (The topology of a totally ordered set is taken to be its order topology).
We show that every member of K can be described as a finite disjoint sum of
very simple spaces. Every summand has either form: (1) mu + 1 + nu^*, where mu
and nu are cardinals, and nu^* is the reverse order of nu; or (2) the summand
is the 1-point-compactification of a discrete space with cardinality aleph_1.
|
math.GN
|
a compact hausdorff space x is called a co space if every closed subset of x is homeomorphic to an open subset of x every successor ordinal with its order topology is a co space we find an explicit characterization of the class k of co spaces which are a continuous image of a dedkind complete totally ordered set the topology of a totally ordered set is taken to be its order topology we show that every member of k can be described as a finite disjoint sum of very simple spaces every summand has either form 1 mu 1 nu where mu and nu are cardinals and nu is the reverse order of nu or 2 the summand is the 1pointcompactification of a discrete space with cardinality aleph_1
|
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|
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|
706.1687
|
Effects of Inelastic Neutrino-Nucleus Scattering on Supernova Dynamics
and Radiated Neutrino Spectra
|
Based on the shell model for Gamow-Teller and the Random Phase Approximation
for forbidden transitions, we have calculated reaction rates for inelastic
neutrino-nucleus scattering (INNS) under supernova (SN) conditions, assuming a
matter composition given by Nuclear Statistical Equilibrium. The rates have
been incorporated into state-of-the-art stellar core-collapse simulations with
detailed energy-dependent neutrino transport. While no significant effect on
the SN dynamics is observed, INNS increases the neutrino opacities noticeably
and strongly reduces the high-energy tail of the neutrino spectrum emitted in
the neutrino burst at shock breakout. Relatedly the expected event rates for
the observation of such neutrinos by earthbound detectors are reduced by up to
about 60%.
|
astro-ph hep-ex nucl-ex nucl-th
|
based on the shell model for gamowteller and the random phase approximation for forbidden transitions we have calculated reaction rates for inelastic neutrinonucleus scattering inns under supernova sn conditions assuming a matter composition given by nuclear statistical equilibrium the rates have been incorporated into stateoftheart stellar corecollapse simulations with detailed energydependent neutrino transport while no significant effect on the sn dynamics is observed inns increases the neutrino opacities noticeably and strongly reduces the highenergy tail of the neutrino spectrum emitted in the neutrino burst at shock breakout relatedly the expected event rates for the observation of such neutrinos by earthbound detectors are reduced by up to about 60
|
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|
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|
706.1688
|
Continuation of connecting orbits in 3D-ODEs: (I) Point-to-cycle
connections
|
We propose new methods for the numerical continuation of point-to-cycle
connecting orbits in 3-dimensional autonomous ODE's using projection boundary
conditions. In our approach, the projection boundary conditions near the cycle
are formulated using an eigenfunction of the associated adjoint variational
equation, avoiding costly and numerically unstable computations of the
monodromy matrix. The equations for the eigenfunction are included in the
defining boundary-value problem, allowing a straightforward implementation in
AUTO, in which only the standard features of the software are employed.
Homotopy methods to find connecting orbits are discussed in general and
illustrated with several examples, including the Lorenz equations. Complete
AUTO demos, which can be easily adapted to any autonomous 3-dimensional ODE
system, are freely available.
|
math.DS math.NA
|
we propose new methods for the numerical continuation of pointtocycle connecting orbits in 3dimensional autonomous odes using projection boundary conditions in our approach the projection boundary conditions near the cycle are formulated using an eigenfunction of the associated adjoint variational equation avoiding costly and numerically unstable computations of the monodromy matrix the equations for the eigenfunction are included in the defining boundaryvalue problem allowing a straightforward implementation in auto in which only the standard features of the software are employed homotopy methods to find connecting orbits are discussed in general and illustrated with several examples including the lorenz equations complete auto demos which can be easily adapted to any autonomous 3dimensional ode system are freely available
|
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|
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|
706.1689
|
Wigner crystallization in a single and bilayer graphene
|
We study the possibility of Wigner crystallization in both single- and and
bi-layer graphene using a real space tight binding model. In addition to
verifying our earlier prediction for single layer graphene, we predict that the
bilayer graphene can undergo a Wigner crystal transition at low enough carrier
density thus offering a possibility of tunable and bipolar Wigner crystal. We
find that aside from the Coulomb interaction of the carriers of two layers that
stabilizes the charge ordered state, so does the inter layer coupling.
|
cond-mat.str-el cond-mat.mes-hall
|
we study the possibility of wigner crystallization in both single and and bilayer graphene using a real space tight binding model in addition to verifying our earlier prediction for single layer graphene we predict that the bilayer graphene can undergo a wigner crystal transition at low enough carrier density thus offering a possibility of tunable and bipolar wigner crystal we find that aside from the coulomb interaction of the carriers of two layers that stabilizes the charge ordered state so does the inter layer coupling
|
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|
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|
706.169
|
Direct observation of the strange b baryon Xi_b^{-}
|
We report the first direct observation of the strange b baryon Xi_b^{-}. We
reconstruct the decay Xi_b^{-} to J/psi Xi^{-}, with J/psi to dimuons and
Xi^{-} to Lambda pion, in ppbar collisions at sqrt(s) = 1.96 TeV. Using 1.3
fb^{-1} of data collected by the D0 detector, we observe 15.2 +/- 4.4(stat.)+
1.9/-0.4(syst.) Xi_b^{-} candidates at a mass of 5.774 +/- 0.011(stat.) +/-
0.015 (syst.) GeV. The significance of the observed signal is 5.5 sigmas,
equivalent to a probability of 3.3 X 10^{-8} of it arising from a background
fluctuation. Normalizing to the decay Lambda_b to J/psi Lambda, we measure the
relative rate to be 0.28 +/- 0.09(stat.)+ 0.09/-0.08 (syst.).
|
hep-ex
|
we report the first direct observation of the strange b baryon xi_b we reconstruct the decay xi_b to jpsi xi with jpsi to dimuons and xi to lambda pion in ppbar collisions at sqrts 196 tev using 13 fb1 of data collected by the d0 detector we observe 152 44stat 1904syst xi_b candidates at a mass of 5774 0011stat 0015 syst gev the significance of the observed signal is 55 sigmas equivalent to a probability of 33 x 108 of it arising from a background fluctuation normalizing to the decay lambda_b to jpsi lambda we measure the relative rate to be 028 009stat 009008 syst
|
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|
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|
706.1691
|
A Stochastic Measure for Eternal Inflation
|
We use the stochastic approach to investigate the measure for slow roll
eternal inflation. The probability for the universe of a given Hubble radius
can be calculated in this framework. In a solvable model, it is shown that the
probability for the universe to evolve from a state with a smaller Hubble
radius to that of a larger Hubble radius is dominated by the classical
probability without the stochastic source. While the probability for the
universe to evolve from a larger Hubble radius to a smaller one is suppressed
by $\exp(-\Delta S)$, where the de Sitter entropy $S$ arises naturally in this
stochastic approach.
|
hep-th astro-ph gr-qc
|
we use the stochastic approach to investigate the measure for slow roll eternal inflation the probability for the universe of a given hubble radius can be calculated in this framework in a solvable model it is shown that the probability for the universe to evolve from a state with a smaller hubble radius to that of a larger hubble radius is dominated by the classical probability without the stochastic source while the probability for the universe to evolve from a larger hubble radius to a smaller one is suppressed by expdelta s where the de sitter entropy s arises naturally in this stochastic approach
|
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|
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|
706.1692
|
A Methodology for Efficient Space-Time Adapter Design Space Exploration:
A Case Study of an Ultra Wide Band Interleaver
|
This paper presents a solution to efficiently explore the design space of
communication adapters. In most digital signal processing (DSP) applications,
the overall architecture of the system is significantly affected by
communication architecture, so the designers need specifically optimized
adapters. By explicitly modeling these communications within an effective
graph-theoretic model and analysis framework, we automatically generate an
optimized architecture, named Space-Time AdapteR (STAR). Our design flow inputs
a C description of Input/Output data scheduling, and user requirements
(throughput, latency, parallelism...), and formalizes communication constraints
through a Resource Constraints Graph (RCG). The RCG properties enable an
efficient architecture space exploration in order to synthesize a STAR
component. The proposed approach has been tested to design an industrial data
mixing block example: an Ultra-Wideband interleaver.
|
cs.AR
|
this paper presents a solution to efficiently explore the design space of communication adapters in most digital signal processing dsp applications the overall architecture of the system is significantly affected by communication architecture so the designers need specifically optimized adapters by explicitly modeling these communications within an effective graphtheoretic model and analysis framework we automatically generate an optimized architecture named spacetime adapter star our design flow inputs a c description of inputoutput data scheduling and user requirements throughput latency parallelism and formalizes communication constraints through a resource constraints graph rcg the rcg properties enable an efficient architecture space exploration in order to synthesize a star component the proposed approach has been tested to design an industrial data mixing block example an ultrawideband interleaver
|
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|
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|
706.1693
|
Unsymmetrical and symmetrical one-range addition theorems for Slater
type orbitals and Coulomb-Yukawa like correlated interaction potentials of
integer and noninteger indices
|
Using one-center expansion relations for the Slater type orbitals (STOs) of
noninteger principal quantum numbers in terms of integer n STOs derived in this
study with the help of - exponential type orbitals (-ETOs, the general formulas
are established for the unsymmetrical and symmetrical one-range addition
theorems of STOs and Coulomb-Yukawa like correlated interaction potentials
(CIPs) with integer and noninteger indices. The final results are especially
useful for computations of arbitrary multicenter multielectron integrals over
STOs that arise in the Hartree-Fock-Roothaan (HFR) approximation and also in
the correlated methods which play a significant role in theory and application
to quantum mechanics of atoms, molecules, and solids.
|
physics.chem-ph
|
using onecenter expansion relations for the slater type orbitals stos of noninteger principal quantum numbers in terms of integer n stos derived in this study with the help of exponential type orbitals etos the general formulas are established for the unsymmetrical and symmetrical onerange addition theorems of stos and coulombyukawa like correlated interaction potentials cips with integer and noninteger indices the final results are especially useful for computations of arbitrary multicenter multielectron integrals over stos that arise in the hartreefockroothaan hfr approximation and also in the correlated methods which play a significant role in theory and application to quantum mechanics of atoms molecules and solids
|
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|
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|
706.1694
|
Ricci Flow of Biaxial Bianchi IX Metrics
|
We use the Ricci flow with surgery to study four-dimensional SU(2) x
U(1)-symmetric metrics on a manifold with fixed boundary given by a squashed
3-sphere. Depending on the initial metric we show that the flow converges to
either the Taub-Bolt or the Taub-NUT metric, the latter case potentially
requiring surgery at some point in the evolution. The Ricci flow allows us to
explore the Euclidean action landscape within this symmetry class. This work
extends the recent work of Headrick and Wiseman to more interesting topologies.
|
hep-th
|
we use the ricci flow with surgery to study fourdimensional su2 x u1symmetric metrics on a manifold with fixed boundary given by a squashed 3sphere depending on the initial metric we show that the flow converges to either the taubbolt or the taubnut metric the latter case potentially requiring surgery at some point in the evolution the ricci flow allows us to explore the euclidean action landscape within this symmetry class this work extends the recent work of headrick and wiseman to more interesting topologies
|
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|
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|
706.1695
|
Long-time convergence of an Adaptive Biasing Force method
|
We propose a proof of convergence of an adaptive method used in molecular
dynamics to compute free energy profiles. Mathematically, it amounts to
studying the long-time behavior of a stochastic process which satisfies a
non-linear stochastic differential equation, where the drift depends on
conditional expectations of some functionals of the process. We use entropy
techniques to prove exponential convergence to the stationary state.
|
math.AP cond-mat.stat-mech physics.comp-ph
|
we propose a proof of convergence of an adaptive method used in molecular dynamics to compute free energy profiles mathematically it amounts to studying the longtime behavior of a stochastic process which satisfies a nonlinear stochastic differential equation where the drift depends on conditional expectations of some functionals of the process we use entropy techniques to prove exponential convergence to the stationary state
|
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|
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|
706.1696
|
Minimal Walking Technicolor: Set Up for Collider Physics
|
Different theoretical and phenomenological aspects of the Minimal and
Nonminimal Walking Technicolor theories have recently been studied. The goal
here is to make the models ready for collider phenomenology. We do this by
constructing the low energy effective theory containing scalars, pseudoscalars,
vector mesons and other fields predicted by the minimal walking theory. We
construct their self-interactions and interactions with standard model fields.
Using the Weinberg sum rules, opportunely modified to take into account the
walking behavior of the underlying gauge theory, we find interesting relations
for the spin-one spectrum. We derive the electroweak parameters using the newly
constructed effective theory and compare the results with the underlying gauge
theory. Our analysis is sufficiently general such that the resulting model can
be used to represent a generic walking technicolor theory not at odds with
precision data.
|
hep-ph
|
different theoretical and phenomenological aspects of the minimal and nonminimal walking technicolor theories have recently been studied the goal here is to make the models ready for collider phenomenology we do this by constructing the low energy effective theory containing scalars pseudoscalars vector mesons and other fields predicted by the minimal walking theory we construct their selfinteractions and interactions with standard model fields using the weinberg sum rules opportunely modified to take into account the walking behavior of the underlying gauge theory we find interesting relations for the spinone spectrum we derive the electroweak parameters using the newly constructed effective theory and compare the results with the underlying gauge theory our analysis is sufficiently general such that the resulting model can be used to represent a generic walking technicolor theory not at odds with precision data
|
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|
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|
706.1697
|
Equations of motion approach to the spin-1/2 Ising model on the Bethe
lattice
|
We exactly solve the ferromagnetic spin-1/2 Ising model on the Bethe lattice
in the presence of an external magnetic field by means of the equations of
motion method within the Green's function formalism. In particular, such an
approach is applied to an isomorphic model of localized Fermi particles
interacting via an intersite Coulomb interaction. A complete set of
eigenoperators is found together with the corresponding eigenvalues. The
Green's functions and the correlation functions are written in terms of a
finite set of parameters to be self-consistently determined. A procedure is
developed, that allows us to exactly fix the unknown parameters in the case of
a Bethe lattice with any coordination number z. Non-local correlation functions
up to four points are also provided together with a study of the relevant
thermodynamic quantities.
|
cond-mat.stat-mech cond-mat.str-el
|
we exactly solve the ferromagnetic spin12 ising model on the bethe lattice in the presence of an external magnetic field by means of the equations of motion method within the greens function formalism in particular such an approach is applied to an isomorphic model of localized fermi particles interacting via an intersite coulomb interaction a complete set of eigenoperators is found together with the corresponding eigenvalues the greens functions and the correlation functions are written in terms of a finite set of parameters to be selfconsistently determined a procedure is developed that allows us to exactly fix the unknown parameters in the case of a bethe lattice with any coordination number z nonlocal correlation functions up to four points are also provided together with a study of the relevant thermodynamic quantities
|
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|
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|
706.1698
|
The Explicit Chaotic Representation of the powers of increments of Levy
Processes
|
An explicit formula for the chaotic representation of the powers of
increments, (X_{t+t_0}-X_{t_0})^n, of a Levy process is presented. There are
two different chaos expansions of a square integrable functional of a Levy
process: one with respect to the compensated Poisson random measure and the
other with respect to the orthogonal compensated powers of the jumps of the
Levy process. Computationally explicit formulae for both of these chaos
expansions of (X_{t+t_0}-X_{t_0})^n are given in this paper. Simulation results
verify that the representation is satisfactory. The CRP of a number of
financial derivatives can be found by expressing them in terms of
(X_{t+t_0}-X_{t_0})^n using Taylor's expansion.
|
math.PR math.ST stat.TH
|
an explicit formula for the chaotic representation of the powers of increments x_tt_0x_t_0n of a levy process is presented there are two different chaos expansions of a square integrable functional of a levy process one with respect to the compensated poisson random measure and the other with respect to the orthogonal compensated powers of the jumps of the levy process computationally explicit formulae for both of these chaos expansions of x_tt_0x_t_0n are given in this paper simulation results verify that the representation is satisfactory the crp of a number of financial derivatives can be found by expressing them in terms of x_tt_0x_t_0n using taylors expansion
|
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|
[-0.139292450728161, 0.12247916899359552, -0.11208430303349382, 0.06970643481498492, -0.05686291348455208, -0.0725507760952626, 0.014576632120380444, 0.35364208154025534, -0.28258776973400795, -0.20352442315668753, 0.1306780456277054, -0.2610382560551876, -0.16248609983317908, 0.2151448412221812, -0.06497560929551366, 0.06891143248150391, 0.00942030482304593, 0.053492619332280895, -0.042536449084235796, -0.22910530254954384, 0.3093250640623626, 0.044898279871614204, 0.22289569670157064, -0.02717341039374116, 0.14920556744383204, -0.05122544341942384, -0.09677566293449628, -0.022489539152454763, -0.10413193297163595, 0.16433884926761191, 0.2297349811376383, 0.0344291076330202, 0.2868509706287157, -0.40244513916827385, -0.1495798008605128, 0.11477202601908218, 0.1324292749521278, 0.03967656365462712, -0.00272520390294847, -0.2809991982011568, 0.08672870371845506, -0.20254357218564975, -0.17841191232825318, -0.11068299897015095, 0.02584364584514073, 0.10065527740599854, -0.332899585845215, 0.09787843871329512, 0.10080744100823288, 0.06357936478619064, -0.02655395054302755, -0.10414418701437257, 0.003291602477076508, 0.09534269389031189, 0.06248260787383299, -0.02684193356406121, 0.07889698928310758, -0.09671069048123346, -0.16485117996732393, 0.345338714672696, -0.0795118900193345, -0.2653598331624553, 0.1443951058778025, -0.17897209443950227, -0.11059713699367074, 0.15936964563138428, 0.10638702735304832, 0.09216363683254236, -0.1726019656108249, 0.0981486968513179, -0.009955167812517, 0.08045305519231728, 0.11406036092944088, 0.0008052652479992027, 0.13422142901635242, 0.09729707076968182, 0.0636995751366374, 0.15963830298777404, -0.016551174469835436, -0.1601155545385111, -0.3362463595966498, -0.17858573445340709, -0.2389469340621006, 0.04427304527988391, -0.18906015590085493, -0.22194933753815435, 0.3766073539409609, 0.12229564298121702, 0.18391210880307923, 0.10881308073266631, 0.2456387731024907, 0.23136343952445756, -0.025681332988841902, 0.010938314627856017, 0.12855547385378963, 0.1600027842735428, 0.08010032454303222, -0.1491839247933101, 0.11146893223880656, 0.08212706702096122]
|
706.1699
|
OPERA first events from the CNGS neutrino beam
|
The aim of the OPERA experiment is to search for the appearance of the tau
neutrino in the quasi pure muon neutrino beam produced at CERN (CNGS). The
detector, installed in the Gran Sasso underground laboratory 730 km away from
CERN, consists of a lead/emulsion target complemented with electronic
detectors. A report is given on the detector status (construction, data taking
and analysis) and on the first successful 2006 neutrino runs.
|
hep-ex
|
the aim of the opera experiment is to search for the appearance of the tau neutrino in the quasi pure muon neutrino beam produced at cern cngs the detector installed in the gran sasso underground laboratory 730 km away from cern consists of a leademulsion target complemented with electronic detectors a report is given on the detector status construction data taking and analysis and on the first successful 2006 neutrino runs
|
[['the', 'aim', 'of', 'the', 'opera', 'experiment', 'is', 'to', 'search', 'for', 'the', 'appearance', 'of', 'the', 'tau', 'neutrino', 'in', 'the', 'quasi', 'pure', 'muon', 'neutrino', 'beam', 'produced', 'at', 'cern', 'cngs', 'the', 'detector', 'installed', 'in', 'the', 'gran', 'sasso', 'underground', 'laboratory', '730', 'km', 'away', 'from', 'cern', 'consists', 'of', 'a', 'leademulsion', 'target', 'complemented', 'with', 'electronic', 'detectors', 'a', 'report', 'is', 'given', 'on', 'the', 'detector', 'status', 'construction', 'data', 'taking', 'and', 'analysis', 'and', 'on', 'the', 'first', 'successful', '2006', 'neutrino', 'runs']]
|
[-0.06988947227282423, 0.21427488525588276, -0.09067912572061072, 0.06524441534535251, -0.035358833332716576, -0.12340057992153394, 0.020061417207331726, 0.2770412073234542, -0.13705032625281527, -0.34082936765757244, 0.08649138307434992, -0.3950557839322153, 0.059339193646914104, 0.22719710937071538, 0.0607501326102606, 0.0779054025647191, 0.19431783894116295, 0.023723597494019588, -0.08216345203305844, -0.20484580485392886, 0.2143162002550884, 0.26426518771430135, 0.3232693334411777, 0.046578812544089805, 0.2218203872825924, -0.013622927394184008, -0.09568482620353011, -0.1388521195245041, -0.06490202780655573, 0.00012490528465156824, 0.31179449528875486, 0.16765475726844645, 0.10385787922521712, -0.4652491700376423, -0.06417059858655885, 0.12780191008211442, 0.02377438425532424, 0.010990757967384768, -0.08206143312305408, -0.4175475235359455, 0.06160000273564332, -0.17479788922724432, -0.1380956884945782, 0.12614439604935093, -0.0684279933781691, -0.04093500921948695, -0.2392231191173983, -0.06296992995185961, -0.08661013789406098, 0.0985514926789722, -0.027272811277546515, -0.1986002261212594, 0.09361140674609743, 0.04756775692525044, 0.05119789055299381, 0.07415611869458791, 0.13174367559955677, -0.08993646674904264, -0.08176998214297732, 0.36332642489021094, -0.0797782442696445, -0.023009250379941414, 0.15282253297964032, -0.22186203487217426, -0.08387328874201737, 0.16712895712592232, 0.24134867797067888, 0.06322410621378623, -0.20513984983340955, 0.09318047544007307, -0.07523266270651784, 0.15956538624431885, 0.1142057474361549, -0.05239009956868602, 0.2590582156029176, 0.3464890546099821, 0.0992780636641866, 0.033654525323482364, -0.2611296164514628, 0.004018205959139995, -0.44159690453342987, -0.10589754499181855, -0.1122470347007448, 0.03868994956039233, 0.10785027603253158, -0.02419411240141055, 0.4244390460859302, 0.07823681769708932, 0.14163951518040307, -0.041446231823729376, 0.30579445631781094, -0.06194928474724293, 0.0480916023313422, -0.002409867070038134, 0.32383266065112304, 0.09935429143968602, 0.22192509699298044, -0.2637352904822992, 0.0632732759597121, 0.08256099165194261]
|
706.17
|
Information Criteria and Arithmetic Codings : An Illustration on Raw
Images
|
In this paper we give a short theoretical description of the general
predictive adaptive arithmetic coding technique. The links between this
technique and the works of J. Rissanen in the 80's, in particular the BIC
information criterion used in parametrical model selection problems, are
established. We also design lossless and lossy coding techniques of images. The
lossless technique uses a mix between fixed-length coding and arithmetic coding
and provides better compression results than those separate methods. That
technique is also seen to have an interesting application in the domain of
statistics since it gives a data-driven procedure for the non-parametrical
histogram selection problem. The lossy technique uses only predictive adaptive
arithmetic codes and shows how a good choice of the order of prediction might
lead to better results in terms of compression. We illustrate those coding
techniques on a raw grayscale image.
|
cs.IT math.IT
|
in this paper we give a short theoretical description of the general predictive adaptive arithmetic coding technique the links between this technique and the works of j rissanen in the 80s in particular the bic information criterion used in parametrical model selection problems are established we also design lossless and lossy coding techniques of images the lossless technique uses a mix between fixedlength coding and arithmetic coding and provides better compression results than those separate methods that technique is also seen to have an interesting application in the domain of statistics since it gives a datadriven procedure for the nonparametrical histogram selection problem the lossy technique uses only predictive adaptive arithmetic codes and shows how a good choice of the order of prediction might lead to better results in terms of compression we illustrate those coding techniques on a raw grayscale image
|
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|
[-0.07559527802399137, -0.01077954556280993, -0.16220883092626562, 0.10183720858226543, -0.07028310636425732, -0.2075896873171638, 0.08070786233456857, 0.4284884111929527, -0.2705503184459841, -0.27975729754535666, 0.10614736470279881, -0.21577658380617873, -0.2166578109822118, 0.23356480695615509, -0.16568285281914222, 0.10941438256880977, 0.0428308259890887, 0.028158955948269913, -0.06856313870168737, -0.2879408874063635, 0.24932954474155541, 0.08812770895450048, 0.3736309009322546, 0.012690372689640229, 0.07927070466409443, 0.04374706614303442, -0.11118601289459727, -0.025248306727161447, -0.13227022957397194, 0.18305715571344555, 0.30445592068660426, 0.1879278137840488, 0.28084716284778755, -0.37291755667612164, -0.2351747244353813, 0.051669494104637226, 0.14849737394128887, 0.16129943027659516, -0.05779162875678338, -0.2099651561945047, 0.08888762464261496, -0.14673436762687986, -0.011493633478276536, -0.08626485445260391, -0.0782289669289857, 0.005011172797924406, -0.3239681983110823, 0.06462002672135345, 0.10054505561334147, 0.052791434012248485, -0.034640291228998636, -0.10254875695067261, 0.09209204640962564, 0.12177791197548135, -0.004384907725772125, 0.04715234310362934, 0.07315666590240115, -0.11428036771691732, -0.14871499667757412, 0.37123901696718287, -0.04322262286197502, -0.2167953767315288, 0.17124759916767057, -0.027401662359512607, -0.14531758894265012, 0.12979321323440107, 0.19577198059783435, 0.08605127963303051, -0.10501871215717369, 0.021336214882518415, -0.05507751331544927, 0.2050306994835256, 0.10125644135938197, 0.07227910965112117, 0.12224031864291608, 0.18420234130544613, 0.04555449173556195, 0.18921427394945542, -0.085727885842625, -0.05670066951760944, -0.2659976506051542, -0.11480033324218132, -0.1735533143961015, -0.04169043709038639, -0.14980787974665463, -0.16802943729743047, 0.37791459055119, 0.1725103915013163, 0.14690622942213505, 0.05430797701308005, 0.3466475262424686, 0.058906233074261585, 0.05545717694232581, 0.08656957674063218, 0.18951647682279402, 0.1527523935024797, 0.0976525326128262, -0.13922209613202272, 0.05184928343211576, 0.09486158158708836]
|
706.1701
|
Constraints, MMSNP and expander relational structures
|
We give a poly-time construction for a combinatorial classic known as Sparse
Incomparability Lemma, studied by Erdos, Lovasz, Nesetril, Rodl and others: We
show that every Constraint Satisfaction Problem is poly-time equivalent to its
restriction to structures with large girth. This implies that the complexity
classes CSP and Monotone Monadic Strict NP introduced by Feder and Vardi are
computationally equivalent. The technical novelty of the paper is a concept of
expander relations and a new type of product for relational structures: a
generalization of the zig-zag product, the twisted product.
|
math.CO
|
we give a polytime construction for a combinatorial classic known as sparse incomparability lemma studied by erdos lovasz nesetril rodl and others we show that every constraint satisfaction problem is polytime equivalent to its restriction to structures with large girth this implies that the complexity classes csp and monotone monadic strict np introduced by feder and vardi are computationally equivalent the technical novelty of the paper is a concept of expander relations and a new type of product for relational structures a generalization of the zigzag product the twisted product
|
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|
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|
706.1702
|
Theory of the Pseudospin Resonance in Semiconductor Bilayers
|
The pseudospin degree of freedom in a semiconductor bilayer gives rise to a
collective mode analogous to the ferromagnetic resonance mode of a ferromagnet.
We present a theory of the dependence of the energy and the damping of this
mode on layer separation $d$. Based on these results, we discuss the
possibility of realizing transport-current driven pseudospin-transfer
oscillators in semiconductors.
|
cond-mat.mes-hall cond-mat.str-el
|
the pseudospin degree of freedom in a semiconductor bilayer gives rise to a collective mode analogous to the ferromagnetic resonance mode of a ferromagnet we present a theory of the dependence of the energy and the damping of this mode on layer separation d based on these results we discuss the possibility of realizing transportcurrent driven pseudospintransfer oscillators in semiconductors
|
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|
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|
706.1703
|
Correlation between galactic HI and the Cosmic Microwave Background
|
We revisit the issue of a correlation between the atomic hydrogen gas in our
local Galaxy and the Cosmic Microwave Background (CMB), a detection of which
has been claimed in some literature. We cross-correlate the 21-cm emission of
Galactic atomic hydrogen as traced by the Leiden/Argentine/Bonn Galactic HI
survey with the 3-year CMB data from the Wilkinson Microwave Anisotropy Probe.
We consider a number of angular scales, masks, and HI velocity slices and find
no statistically significant correlation.
|
astro-ph
|
we revisit the issue of a correlation between the atomic hydrogen gas in our local galaxy and the cosmic microwave background cmb a detection of which has been claimed in some literature we crosscorrelate the 21cm emission of galactic atomic hydrogen as traced by the leidenargentinebonn galactic hi survey with the 3year cmb data from the wilkinson microwave anisotropy probe we consider a number of angular scales masks and hi velocity slices and find no statistically significant correlation
|
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|
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|
706.1704
|
Forbidden lists (NP and CSP for combinatorialists)
|
We present a definition of the class NP in combinatorial context as the set
of languages of structures defined by finitely many forbidden lifted
substructures. We apply this to special syntactically defined subclasses and
show how they correspond to naturally defined (and intensively studied)
combinatorial problems. We show that some types of combinatorial problems like
edge colorings and graph decompositions express the full computational power of
the class NP. We then characterize Constraint Satisfaction Problems (i.e.
H-coloring problems) which are expressible by finitely many forbidden lifted
substructures. This greatly simplifies and generalizes the earlier attempts to
characterize this problem. As a corollary of this approach we perhaps find a
proper setting of Feder and Vardi analysis of CSP languages within the class
MMSNP.
|
math.CO
|
we present a definition of the class np in combinatorial context as the set of languages of structures defined by finitely many forbidden lifted substructures we apply this to special syntactically defined subclasses and show how they correspond to naturally defined and intensively studied combinatorial problems we show that some types of combinatorial problems like edge colorings and graph decompositions express the full computational power of the class np we then characterize constraint satisfaction problems ie hcoloring problems which are expressible by finitely many forbidden lifted substructures this greatly simplifies and generalizes the earlier attempts to characterize this problem as a corollary of this approach we perhaps find a proper setting of feder and vardi analysis of csp languages within the class mmsnp
|
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|
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|
706.1705
|
Investigations of Ra$^+$ properties to test possibilities of new optical
frequency standards
|
The present work tests the suitability of the narrow transitions $7s \
^2S_{1/2} \to 6d ^2D_{3/2}$ and $7s ^2S_{1/2} \to 6d ^2D_{5/2}$ in Ra$^+$ for
optical frequency standard studies. Our calculations of the lifetimes of the
metastable $6d$ states using the relativistic coupled-cluster theory suggest
that they are sufficiently long for Ra$^+$ to be considered as a potential
candidate for an atomic clock. This is further corroborated by our studies of
the hyperfine interactions, dipole and quadrupole polarizabilities and
quadrupole moments of the appropriate states of this system.
|
physics.atom-ph physics.optics
|
the present work tests the suitability of the narrow transitions 7s 2s_12 to 6d 2d_32 and 7s 2s_12 to 6d 2d_52 in ra for optical frequency standard studies our calculations of the lifetimes of the metastable 6d states using the relativistic coupledcluster theory suggest that they are sufficiently long for ra to be considered as a potential candidate for an atomic clock this is further corroborated by our studies of the hyperfine interactions dipole and quadrupole polarizabilities and quadrupole moments of the appropriate states of this system
|
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|
[-0.09388336938024423, 0.18109728731686683, 0.03474868562316051, 0.0350880867081705, 0.07398854140406368, -0.09696134213550851, 0.07793335261321145, 0.3750856166127427, -0.13552163763442773, -0.2715654362249991, -0.007268897339369802, -0.25523771332769557, -0.059121256501510226, 0.1132263837826449, 0.08142218512921841, 0.04761239600464188, 0.02128764067712272, 0.009260351584967354, -0.09465794456753365, -0.10929568758469889, 0.2628152755024875, 0.10108567774295807, 0.2391181285332503, 0.05346197394611335, 0.006045369817002211, -0.04622954975588825, 0.10740475768715828, -0.059214797170682884, -0.09556047876150382, 0.1503311130418924, 0.2621201251381901, 0.10055820360758352, 0.19277952527948494, -0.45912836391435957, -0.16389773194624604, 0.01688847907058809, 0.1706671976382662, 0.2217674030943763, -0.04170784582223358, -0.4187738886638277, 0.02736520593993944, -0.18675340843204966, -0.14109125773518763, -0.1866427343124631, 0.055679485608620204, 0.03860463572387723, -0.31804101094175347, 0.06909040842692357, -0.025026433940591484, 0.07720514560503358, -0.16092025572648164, -0.19920226756413734, -0.023579605244870842, 0.11337174740673482, 0.06686144994154315, 0.061466723265683, 0.10824686704717319, -0.09992377762279213, -0.14803759093749627, 0.42391872209036485, -0.07717127817075421, -0.12086928721474505, 0.11313290130909018, -0.16495632577216487, -0.1752133683793932, 0.16500939976894993, 0.10721756850808174, 0.1942383392724669, -0.06675642435893887, 0.0784748404202501, 0.029547248964315688, 0.2113249813656098, 0.0568475632168267, 0.06781502101763055, 0.21838813928630332, 0.11933140363544226, -0.06185878394706838, 0.06681188876638938, -0.17593495834661627, -0.07389338295799734, -0.2836056948778616, -0.14294543899542214, -0.17820896831308974, 0.05129984718407558, -0.030312669334495602, -0.14464821223298024, 0.3854200092690258, 0.10726176153054867, 0.14404615127727732, -0.019291159150929285, 0.28626513441532164, 0.09656639603881872, 0.05215945014002166, -0.021162730622929574, 0.34569971477505806, 0.19527489576627896, 0.040436858908091296, -0.31742603492644755, -0.059437174071696984, 0.04094740893991514]
|
706.1706
|
Spatiotemporal structure of Lyapunov vectors in chaotic coupled-map
lattices
|
The spatiotemporal dynamics of Lyapunov vectors (LVs) in spatially extended
chaotic systems is studied by means of coupled-map lattices. We determine
intrinsic length scales and spatiotemporal correlations of LVs corresponding to
the leading unstable directions by translating the problem to the language of
scale-invariant growing surfaces. We find that the so-called 'characteristic'
LVs exhibit spatial localization, strong clustering around given spatiotemporal
loci, and remarkable dynamic scaling properties of the corresponding surfaces.
In contrast, the commonly used backward LVs (obtained through Gram-Schmidt
orthogonalization) spread all over the system and do not exhibit dynamic
scaling due to artifacts in the dynamical correlations by construction.
|
nlin.CD cond-mat.stat-mech
|
the spatiotemporal dynamics of lyapunov vectors lvs in spatially extended chaotic systems is studied by means of coupledmap lattices we determine intrinsic length scales and spatiotemporal correlations of lvs corresponding to the leading unstable directions by translating the problem to the language of scaleinvariant growing surfaces we find that the socalled characteristic lvs exhibit spatial localization strong clustering around given spatiotemporal loci and remarkable dynamic scaling properties of the corresponding surfaces in contrast the commonly used backward lvs obtained through gramschmidt orthogonalization spread all over the system and do not exhibit dynamic scaling due to artifacts in the dynamical correlations by construction
|
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|
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|
706.1707
|
The centrality dependence of elliptic flow at LHC
|
We present predictions for the centrality dependence of elliptic flow at
mid-rapidity in Pb-Pb collisions at the LHC.
|
nucl-th
|
we present predictions for the centrality dependence of elliptic flow at midrapidity in pbpb collisions at the lhc
|
[['we', 'present', 'predictions', 'for', 'the', 'centrality', 'dependence', 'of', 'elliptic', 'flow', 'at', 'midrapidity', 'in', 'pbpb', 'collisions', 'at', 'the', 'lhc']]
|
[-0.06543201197766596, 0.20820141050757635, -0.326465938705951, 0.09694693113366763, 0.06478058733046055, -0.12084203441109923, -0.2504005104743151, 0.3408501785662439, -0.20339292743139797, -0.24847142512185705, -0.15132962819835585, -0.5054083249221245, 0.23572069926497838, 0.1434815920268496, 0.10337106645521191, 0.21373143680911097, 0.20873944937354988, 0.043793078098032207, -0.05959566791231433, -0.2202412643107689, 0.3038032468822267, 0.14523808270071945, 0.18843178766676122, 0.3351492358164655, 0.04430719164924489, 0.13649939109260836, 0.016525825537327263, 0.054200843080050416, -0.23674524182246792, 0.06198456504595621, 0.44606201839633286, -0.07105698891811901, 0.1276226970884535, -0.2931070654756493, -0.07148272316488954, 0.14083133342986306, 0.15342364253269303, 0.08478696758134498, -0.12426826461321777, -0.17643255999104845, 0.21167426452868515, -0.27278786193993354, -0.128771594460381, 0.03461296976699183, 0.03946316252566046, 0.0250397185381088, -0.32411745056096053, 0.2623706610821601, -0.11549582285806537, 0.2535905175221463, 0.028728687204420567, -0.2059297946592172, -0.12064689537510276, -0.07577557478927904, 0.09112486618364023, 0.07551683723512623, 0.2190041611643715, -0.19031700994431353, -0.19370235771768624, 0.35017395361016196, 0.05961015520410405, -0.09108986136400038, 0.1487849737621016, -0.285033008756323, -0.23904393799602985, 0.12528591220163637, 0.45962062074492377, 0.12636993825435638, -0.1539512281306088, -0.03851987998415199, -0.009668826384262906, 0.10473170472929876, 0.12500394689333108, 0.027613043060733214, 0.11017591795987552, 0.22937079270680746, 0.04013414070424107, 0.0637162019395166, -0.11630954055322541, -0.09167896521588166, -0.5597162114249336, 0.011547034192416403, -0.029722884400851197, 5.374786754449209e-05, -0.13505563515031505, 0.056500848279231124, 0.44105564223395455, 0.13895438445938957, 0.4282667645149761, 0.04816208810855945, 0.28055304092251593, 0.07192170076693098, -0.024109090781874128, 0.2034866449216174, 0.3233435603065623, 0.10617703137298425, 0.42284583062347436, -0.29426525222758454, 0.09920555738628739, 0.15000262271819842]
|
706.1708
|
Effective Actions of IIB Matrix Model on S^3
|
S^3 is a simple principle bundle which is locally S^2 \times S^1. It has been
shown that such a space can be constructed in terms of matrix models. It has
been also shown that such a space can be realized by a generalized
compactification procedure in the S^1 direction. We investigate the effective
action of supersymmetric gauge theory on S^3 with an angular momentum cutoff
and that of a matrix model compactification. The both cases can be realized in
a deformed IIB matrix model with a Myers Term. We find that the highly
divergent contributions at the tree and one loop level are sensitive to the uv
cutoff. However the two loop level contributions are universal since they are
only logarithmically divergent. We expect that the higher loop contributions
are insensitive to the uv cutoff since 3d gauge theory is super renormalizable.
|
hep-th
|
s3 is a simple principle bundle which is locally s2 times s1 it has been shown that such a space can be constructed in terms of matrix models it has been also shown that such a space can be realized by a generalized compactification procedure in the s1 direction we investigate the effective action of supersymmetric gauge theory on s3 with an angular momentum cutoff and that of a matrix model compactification the both cases can be realized in a deformed iib matrix model with a myers term we find that the highly divergent contributions at the tree and one loop level are sensitive to the uv cutoff however the two loop level contributions are universal since they are only logarithmically divergent we expect that the higher loop contributions are insensitive to the uv cutoff since 3d gauge theory is super renormalizable
|
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|
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|
706.1709
|
The Higher Order Schwarzian Derivative: Its Applications for Chaotic
Behavior and New Invariant Sufficient Condition of Chaos
|
The Schwarzian derivative of a function f(x) which is defined in the interval
(a, b) having higher order derivatives is given by
Sf(x)=(f''(x)/f'(x))'-1/2(f''(x)/f'(x))^2 . A sufficient condition for a
function to behave chaotically is that its Schwarzian derivative is negative.
In this paper, we try to find a sufficient condition for a non-linear dynamical
system to behave chaotically. The solution function of this system is a higher
degree polynomial. We define n-th Schwarzian derivative to examine its general
properties. Our analysis shows that the sufficient condition for chaotic
behavior of higher order polynomial is provided if its highest order three
terms satisfy an inequality which is invariant under the degree of the
polynomial and the condition is represented by Hankel determinant of order 2.
Also the n-th order polynomial can be considered to be the partial sum of real
variable analytic function. Let this analytic function be the solution of
non-linear differential equation, then the sufficient condition for the
chaotical behavior of this function is the Hankel determinant of order 2
negative, where the elements of this determinant are the coefficient of the
terms of n, n-1, n-2 in Taylor expansion.
|
nlin.CD
|
the schwarzian derivative of a function fx which is defined in the interval a b having higher order derivatives is given by sfxfxfx12fxfx2 a sufficient condition for a function to behave chaotically is that its schwarzian derivative is negative in this paper we try to find a sufficient condition for a nonlinear dynamical system to behave chaotically the solution function of this system is a higher degree polynomial we define nth schwarzian derivative to examine its general properties our analysis shows that the sufficient condition for chaotic behavior of higher order polynomial is provided if its highest order three terms satisfy an inequality which is invariant under the degree of the polynomial and the condition is represented by hankel determinant of order 2 also the nth order polynomial can be considered to be the partial sum of real variable analytic function let this analytic function be the solution of nonlinear differential equation then the sufficient condition for the chaotical behavior of this function is the hankel determinant of order 2 negative where the elements of this determinant are the coefficient of the terms of n n1 n2 in taylor expansion
|
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|
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|
706.171
|
New method for atmospheric calibration at the Pierre Auger Observatory
using FRAM, a robotic astronomical telescope
|
FRAM - F/(Ph)otometric Robotic Atmospheric Monitor is the latest addition to
the atmospheric monitoring instruments of the Pierre Auger Observatory. An
optical telescope equipped with CCD camera and photometer, it automatically
observes a set of selected standard stars and a calibrated terrestrial source.
Primarily, the wavelength dependence of the attenuation is derived and the
comparison between its vertical values (for stars) and horizontal values (for
the terrestrial source) is made. Further, the integral vertical aerosol optical
depth can be obtained. A secondary program of the instrument, the detection of
optical counterparts of gamma-ray bursts, has already proven successful. The
hardware setup, software system, data taking procedures, and first analysis
results are described in this paper.
|
astro-ph
|
fram fphotometric robotic atmospheric monitor is the latest addition to the atmospheric monitoring instruments of the pierre auger observatory an optical telescope equipped with ccd camera and photometer it automatically observes a set of selected standard stars and a calibrated terrestrial source primarily the wavelength dependence of the attenuation is derived and the comparison between its vertical values for stars and horizontal values for the terrestrial source is made further the integral vertical aerosol optical depth can be obtained a secondary program of the instrument the detection of optical counterparts of gammaray bursts has already proven successful the hardware setup software system data taking procedures and first analysis results are described in this paper
|
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|
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|
706.1711
|
Ergodicity of the extended anisotropic 1D Heisenberg model: response at
low temperatures
|
We present the results of exact diagonalization calculations of the isolated
and isothermal on-site static susceptibilities in the anisotropic extended
Heisenberg model on a linear chain with periodic boundary conditions. Based on
the ergodicity considerations we conclude that the isothermal susceptibility
will diverge as $T\to 0$ both in finite clusters and in the bulk system in two
non-ergodic regions of the phase diagram of the system.
|
cond-mat.str-el cond-mat.soft
|
we present the results of exact diagonalization calculations of the isolated and isothermal onsite static susceptibilities in the anisotropic extended heisenberg model on a linear chain with periodic boundary conditions based on the ergodicity considerations we conclude that the isothermal susceptibility will diverge as tto 0 both in finite clusters and in the bulk system in two nonergodic regions of the phase diagram of the system
|
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|
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|
706.1712
|
Test Functions Space in Noncommutative Quantum Field Theory
|
It is proven that the $\star$-product of field operators implies that the
space of test functions in the Wightman approach to noncommutative quantum
field theory is one of the Gel'fand-Shilov spaces $S^{\beta}$ with $\beta <
1/2$. This class of test functions smears the noncommutative Wightman
functions, which are in this case generalized distributions, sometimes called
hyperfunctions. The existence and determination of the class of the test
function spaces in NC QFT is important for any rigorous treatment in the
Wightman approach.
|
hep-th
|
it is proven that the starproduct of field operators implies that the space of test functions in the wightman approach to noncommutative quantum field theory is one of the gelfandshilov spaces sbeta with beta 12 this class of test functions smears the noncommutative wightman functions which are in this case generalized distributions sometimes called hyperfunctions the existence and determination of the class of the test function spaces in nc qft is important for any rigorous treatment in the wightman approach
|
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|
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|
706.1713
|
Dynamics of the giant planets of the solar system in the gaseous
proto-planetary disk and relationship to the current orbital architecture
|
We study the orbital evolution of the 4 giant planets of our solar system in
a gas disk. Our investigation extends the previous works by Masset and
Snellgrove (2001) and Morbidelli and Crida (2007, MC07), which focussed on the
dynamics of the Jupiter-Saturn system. The only systems that we found to reach
a steady state are those in which the planets are locked in a quadruple mean
motion resonance (i.e. each planet is in resonance with its neighbor). In total
we found 6 such configurations. For the gas disk parameters found in MC07,
these configurations are characterized by a negligible migration rate. After
the disappearance of the gas, and in absence of planetesimals, only two of
these six configurations (the least compact ones) are stable for a time of
hundreds of millions of years or more. The others become unstable on a
timescale of a few My. Our preliminary simulations show that, when a
planetesimal disk is added beyond the orbit of the outermost planet, the
planets can evolve from the most stable of these configurations to their
current orbits in a fashion qualitatively similar to that described in Tsiganis
et al. (2005).
|
astro-ph
|
we study the orbital evolution of the 4 giant planets of our solar system in a gas disk our investigation extends the previous works by masset and snellgrove 2001 and morbidelli and crida 2007 mc07 which focussed on the dynamics of the jupitersaturn system the only systems that we found to reach a steady state are those in which the planets are locked in a quadruple mean motion resonance ie each planet is in resonance with its neighbor in total we found 6 such configurations for the gas disk parameters found in mc07 these configurations are characterized by a negligible migration rate after the disappearance of the gas and in absence of planetesimals only two of these six configurations the least compact ones are stable for a time of hundreds of millions of years or more the others become unstable on a timescale of a few my our preliminary simulations show that when a planetesimal disk is added beyond the orbit of the outermost planet the planets can evolve from the most stable of these configurations to their current orbits in a fashion qualitatively similar to that described in tsiganis et al 2005
|
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|
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|
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