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Spontaneous Breaking of Translational Invariance and Spatial
Condensation in Stationary States on a Ring: II. The Charged System and the
Two-component Burgers Equations: We further study the stochastic model discussed in Ref.[2] in which positive
and negative particles diffuse in an asymmetric, CP invariant way on ... | cond-mat_stat-mech |
Statistical Properties of Contact Maps: A contact map is a simple representation of the structure of proteins and
other chain-like macromolecules. This representation is quite amenable to
numerical studies of folding. We show that the number of contact maps
corresponding to the possible configurations of a polypeptide ... | cond-mat_stat-mech |
The weighted random graph model: We introduce the weighted random graph (WRG) model, which represents the
weighted counterpart of the Erdos-Renyi random graph and provides fundamental
insights into more complicated weighted networks. We find analytically that the
WRG is characterized by a geometric weight distribution,... | cond-mat_stat-mech |
Truncations of Random Orthogonal Matrices: Statistical properties of non--symmetric real random matrices of size $M$,
obtained as truncations of random orthogonal $N\times N$ matrices are
investigated. We derive an exact formula for the density of eigenvalues which
consists of two components: finite fraction of eigenva... | cond-mat_stat-mech |
Stochastic thermodynamics and modes of operation of a ribosome: a
network theoretic perspective: The ribosome is one of the largest and most complex macromolecular machines
in living cells. It polymerizes a protein in a step-by-step manner as directed
by the corresponding nucleotide sequence on the template messenger... | cond-mat_stat-mech |
On the existence of supersolid helium-4 monolayer films: Extensive Monte Carlo simulations of helium-4 monolayer films adsorbed on
weak substrates have been carried out, aimed at ascertaining the possible
occurrence of a quasi-two-dimensional supersolid phase. Only crystalline films
not registered with underlying subst... | cond-mat_stat-mech |
Non-Equilibrium Steady State of the Lieb-Liniger model: exact treatment
of the Tonks Girardeau limit: Aiming at studying the emergence of Non-Equilibrium Steady States (NESS) in
quantum integrable models by means of an exact analytical method, we focus on
the Tonks-Girardeau or hard-core boson limit of the Lieb-Linig... | cond-mat_stat-mech |
Dissipative maps at the chaos threshold: Numerical results for the
single-site map: We numerically study, at the edge of chaos, the behaviour of the sibgle-site
map $x_{t+1}=x_t-x_t/(x_t^2+\gamma^2)$, where $\gamma$ is the map parameter. | cond-mat_stat-mech |
A perturbative path integral study of active and passive tracer
diffusion in fluctuating fields: We study the effective diffusion constant of a Brownian particle linearly
coupled to a thermally fluctuating scalar field. We use a path integral method
to compute the effective diffusion coefficient perturbatively to low... | cond-mat_stat-mech |
Virtual potentials for feedback traps: The recently developed feedback trap can be used to create arbitrary virtual
potentials, to explore the dynamics of small particles or large molecules in
complex situations. Experimentally, feedback traps introduce several finite
time scales: there is a delay between the measureme... | cond-mat_stat-mech |
Potts-Percolation-Gauss Model of a Solid: We study a statistical mechanics model of a solid. Neighboring atoms are
connected by Hookian springs. If the energy is larger than a threshold the
"spring" is more likely to fail, while if the energy is lower than the
threshold the spring is more likely to be alive. The phase ... | cond-mat_stat-mech |
Jamming versus Glass Transitions: Recent ideas based on the properties of assemblies of frictionless particles
in mechanical equilibrium provide a perspective of amorphous systems different
from that offered by the traditional approach originating in liquid theory. The
relation, if any, between these two points of view... | cond-mat_stat-mech |
Computing solution space properties of combinatorial optimization
problems via generic tensor networks: We introduce a unified framework to compute the solution space properties of
a broad class of combinatorial optimization problems. These properties include
finding one of the optimum solutions, counting the number ... | cond-mat_stat-mech |
Higgs and Goldstone modes in crystalline solids: In crystalline solids the acoustic phonon is known to be the
frequency-gapless Goldstone boson emerging from the spontaneous breaking of the
continuous Galilean symmetry induced by the crystal lattice. It has also been
described as the gauge boson that appears when the f... | cond-mat_stat-mech |
Thermodynamic cost of external control: Artificial molecular machines are often driven by the periodic variation of
an external parameter. This external control exerts work on the system of which
a part can be extracted as output if the system runs against an applied load.
Usually, the thermodynamic cost of the process... | cond-mat_stat-mech |
Component sizes in networks with arbitrary degree distributions: We give an exact solution for the complete distribution of component sizes in
random networks with arbitrary degree distributions. The solution tells us the
probability that a randomly chosen node belongs to a component of size s, for
any s. We apply our ... | cond-mat_stat-mech |
Fluctuation-dissipation theorem for thermo-refractive noise: We introduce a simple prescription for calculating the spectra of thermal
fluctuations of temperature-dependent quantities of the form $\hat{\delta
T}(t)=\int d^3\vec{r} \delta T(\vec{r},t) q(\vec{r})$. Here $T(\vec{r}, t)$ is
the local temperature at locatio... | cond-mat_stat-mech |
Biochemical machines for the interconversion of mutual information and
work: We propose a physically-realisable biochemical device that is coupled to a
biochemical reservoir of mutual information, fuel molecules and a chemical
bath. Mutual information allows work to be done on the bath even when the fuel
molecules ap... | cond-mat_stat-mech |
Computation of the Kolmogorov-Sinai entropy using statistitical
mechanics: Application of an exchange Monte Carlo method: We propose a method for computing the Kolmogorov-Sinai (KS) entropy of
chaotic systems. In this method, the KS entropy is expressed as a statistical
average over the canonical ensemble for a Hamil... | cond-mat_stat-mech |
Kardar-Parisi-Zhang universality from soft gauge modes: The emergence of superdiffusive spin dynamics in integrable classical and
quantum magnets is well established by now, but there is no generally valid
theoretical explanation for this phenomenon. A fundamental difficulty is that
the hydrodynamic fluctuations of con... | cond-mat_stat-mech |
Soft modes in Fermi liquids at arbitrary temperatures: We use kinetic-theory methods to analyze Landau Fermi-liquid theory, and in
particular to investigate the number and nature of soft modes in Fermi liquids,
both in the hydrodynamic and the collisionless regimes. In the hydrodynamic
regime we show that Fermi-liquid ... | cond-mat_stat-mech |
Cahn-Hilliard Theory for Unstable Granular Flows: A Cahn-Hilliard-type theory for hydrodynamic fluctuations is proposed that
gives a quantitative description of the slowly evolving spatial correlations
and structures in density and flow fields in the early stages of evolution of
freely cooling granular fluids. Two mech... | cond-mat_stat-mech |
Universal scaling relations for logarithmic-correction exponents: By the early 1960's advances in statistical physics had established the
existence of universality classes for systems with second-order phase
transitions and characterized these by critical exponents which are different
to the classical ones. There follo... | cond-mat_stat-mech |
Slowest relaxation mode of the partially asymmetric exclusion process
with open boundaries: We analyze the Bethe ansatz equations describing the complete spectrum of the
transition matrix of the partially asymmetric exclusion process on a finite
lattice and with the most general open boundary conditions. We extend re... | cond-mat_stat-mech |
Taming chaos to sample rare events: the effect of weak chaos: Rare events in non-linear dynamical systems are difficult to sample because
of the sensitivity to perturbations of initial conditions and of complex
landscapes in phase space. Here we discuss strategies to control these
difficulties and succeed in obtaininin... | cond-mat_stat-mech |
The Rotating Vicsek Model: Pattern Formation and Enhanced Flocking in
Chiral Active Matter: We generalize the Vicsek model to describe the collective behaviour of polar
circle swimmers with local alignment interactions. While the phase transition
leading to collective motion in 2D (flocking) occurs at the same intera... | cond-mat_stat-mech |
From Boltzmann-Gibbs ensemble to generalized ensembles: We reconsider the Boltzmann-Gibbs statistical ensemble in thermodynamics
using the multinomial coefficient approach. We show that an ensemble is defined
by the determination of four statistical quantities, the element probabilities
$p_i$, the configuration probabi... | cond-mat_stat-mech |
Different critical behaviors in cubic to trigonal and tetragonal
perovskites: Perovskites like LaAlO3 (or SrTiO3) undergo displacive structural phase
transitions from a cubic crystal to a trigonal (or tetragonal) structure. For
many years, the critical exponents in both these types of transitions have been
fitted to ... | cond-mat_stat-mech |
A Minimal Off-Lattice Model for Alpha-helical Proteins: A minimal off-lattice model for alpha-helical proteins is presented. It is
based on hydrophobicity forces and sequence independent local interactions. The
latter are chosen so as to favor the formation of alpha-helical structure. They
model chirality and alpha-hel... | cond-mat_stat-mech |
Tagged Particle Correlations in the Asymmetric Simple Exclusion Process:
Finite Size Effects: We study finite size effects in the variance of the displacement of a tagged
particle in the stationary state of the Asymmetric Simple Exclusion Process
(ASEP) on a ring of size $L$. The process involves hard core particles
... | cond-mat_stat-mech |
Specific heat anomalies of small quantum systems subjected to finite
baths: We have studied the specific heat of the $(N_S+N_B)$ model for an $N_S$-body
harmonic oscillator (HO) system which is strongly coupled to an $N_B$-body HO
bath without dissipation. The system specific heat of $C_S(T)$ becomes $N_S
k_B$ at $T ... | cond-mat_stat-mech |
Estimating differential entropy using recursive copula splitting: A method for estimating the Shannon differential entropy of multidimensional
random variables using independent samples is described. The method is based on
decomposing the distribution into a product of the marginal distributions and
the joint dependenc... | cond-mat_stat-mech |
Dynamical density functional theory for circle swimmers: The majority of studies on self-propelled particles and microswimmers
concentrates on objects that do not feature a deterministic bending of their
trajectory. However, perfect axial symmetry is hardly found in reality, and
shape-asymmetric active microswimmers te... | cond-mat_stat-mech |
Singular relaxation of a random walk in a box with a Metropolis Monte
Carlo dynamics: We study analytically the relaxation eigenmodes of a simple Monte Carlo
algorithm, corresponding to a particle in a box which moves by uniform random
jumps. Moves outside of the box are rejected. At long times, the system
approaches... | cond-mat_stat-mech |
Critical behaviour of annihilating random walk of two species with
exclusion in one dimension: The $A+A\to 0$, $B+B\to 0 $ process with exclusion between the different
kinds is investigated here numerically. Before treating this model explicitly,
we study the generalized Domany-Kinzel cellular automaton model of Hinr... | cond-mat_stat-mech |
Ashkin-Teller phase transition and multicritical behavior in a classical
monomer-dimer model: We use Monte Carlo simulations and tensor network methods to study a
classical monomer-dimer model on the square lattice with a hole (monomer)
fugacity $z$, an aligning dimer-dimer interaction $u$ that favors columnar
order,... | cond-mat_stat-mech |
Magnetization plateaus and phase diagrams of the extended Ising model on
the Shastry-Sutherland lattice: Effects of long-range interactions: Magnetization plateaus and phase diagrams of the extended Ising model on the
Shastry-Sutherland lattice with the first $(J_1)$, second $(J_2)$, third
$(J_3)$ fourth $(J_4)$ and ... | cond-mat_stat-mech |
Scaling Theories of Kosterlitz-Thouless Phase Transitions: We propose scaling theories for Kosterlitz-Thouless (KT) phase transitions on
the basis of the hallmark exponential growth of their correlation length.
Finite-size scaling, finite-entanglement scaling, short-time critical dynamics,
and finite-time scaling, as w... | cond-mat_stat-mech |
Numerical Study of the Thermodynamic Uncertainty Relation for the
KPZ-Equation: A general framework for the field-theoretic thermodynamic uncertainty
relation was recently proposed and illustrated with the $(1+1)$ dimensional
Kardar-Parisi-Zhang equation. In the present paper, the analytical results
obtained there in... | cond-mat_stat-mech |
On the von Neumann entropy of a bath linearly coupled to a driven
quantum system: The change of the von Neumann entropy of a set of harmonic oscillators
initially in thermal equilibrium and interacting linearly with an externally
driven quantum system is computed by adapting the Feynman-Vernon influence
functional fo... | cond-mat_stat-mech |
Pipe network model for scaling of dynamic interfaces in porous media: We present a numerical study on the dynamics of imbibition fronts in porous
media using a pipe network model. This model quantitatively reproduces the
anomalous scaling behavior found in imbibition experiments [Phys. Rev. E {\bf
52}, 5166 (1995)]. Us... | cond-mat_stat-mech |
Communication and optimal hierarchical networks: We study a general and simple model for communication processes. In the
model, agents in a network (in particular, an organization) interchange
information packets following simple rules that take into account the limited
capability of the agents to deal with packets and... | cond-mat_stat-mech |
Radial marginal perturbation of two-dimensional systems and conformal
invariance: The conformal mapping w=(L/2\pi)\ln z transforms the critical plane with a
radial perturbation \alpha\rho^{-y} into a cylinder with width L and a constant
deviation \alpha(2\pi/L)^y from the bulk critical point when the decay exponent
y... | cond-mat_stat-mech |
Jamming and Stress Propagation in Particulate Matter: We present simple models of particulate materials whose mechanical integrity
arises from a jamming process. We argue that such media are generically
"fragile", that is, they are unable to support certain types of incremental
loading without plastic rearrangement. In... | cond-mat_stat-mech |
A non perturbative approach of the principal chiral model between two
and four dimensions: We investigate the principal chiral model between two and four dimensions by
means of a non perturbative Wilson-like renormalization group equation. We are
thus able to follow the evolution of the effective coupling constants w... | cond-mat_stat-mech |
Macroscopically measurable force induced by temperature discontinuities
at solid-gas interfaces: We consider a freely movable solid that separates a long tube into two
regions, each of which is filled with a dilute gas. The gases in each region
are initially prepared at the same pressure but different temperatures. U... | cond-mat_stat-mech |
Burr, Levy, Tsallis: The purpose of this short paper dedicated to the 60th anniversary of
Prof.Constantin Tsallis is to show how the use of mathematical tools and
physical concepts introduced by Burr, L\.{e}vy and Tsallis open a new line of
analysis of the old problem of non-Debye decay and universality of relaxation.
... | cond-mat_stat-mech |
Phase Diagrams and Crossover in Spatially Anisotropic d=3 Ising, XY
Magnetic and Percolation Systems: Exact Renormalization-Group Solutions of
Hierarchical Models: Hierarchical lattices that constitute spatially anisotropic systems are
introduced. These lattices provide exact solutions for hierarchical models and,
... | cond-mat_stat-mech |
Relativistic antifragility: It is shown that the barbell distribution of a gas of relativistic molecules
above its critical temperature, can be interpreted as an antifragile response
to the relativistic constraint of subluminal propagation. | cond-mat_stat-mech |
Generalized arcsine laws for fractional Brownian motion: The three arcsine laws for Brownian motion are a cornerstone of extreme-value
statistics. For a Brownian $B_t$ starting from the origin, and evolving during
time $T$, one considers the following three observables: (i) the duration $t_+$
the process is positive, (... | cond-mat_stat-mech |
Symmetry and species segregation in diffusion-limited pair annihilation: We consider a system of q diffusing particle species A_1,A_2,...,A_q that are
all equivalent under a symmetry operation. Pairs of particles may annihilate
according to A_i + A_j -> 0 with reaction rates k_{ij} that respect the
symmetry, and withou... | cond-mat_stat-mech |
Effects of turbulent mixing on critical behaviour: Renormalization group
analysis of the Potts model: Critical behaviour of a system, subjected to strongly anisotropic turbulent
mixing, is studied by means of the field theoretic renormalization group.
Specifically, relaxational stochastic dynamics of a non-conserved
... | cond-mat_stat-mech |
One-dimensional fluids with positive potentials: We study a class of one-dimensional classical fluids with penetrable
particles interacting through positive, purely repulsive, pair-potentials.
Starting from some lower bounds to the total potential energy, we draw results
on the thermodynamic limit of the given model. | cond-mat_stat-mech |
Reply to Comment on `Monte-Carlo simulation study of the two-stage
percolation transition in enhanced binary trees': We discuss the nature of the two-stage percolation transition on the enhanced
binary tree in order to explain the disagreement in the estimation of the
second transition probability between the one in ... | cond-mat_stat-mech |
Comments on Generalization of thermodynamics in of fractional-order
derivatives and calculation of heat transfer properties of noble gases,
Journal of Thermal Analysis and Calorimetry 2018 133, 1189 1194: It is shown that the equations for pressure, entropy and the isochoric heat
capacity obtained by using generali... | cond-mat_stat-mech |
Attractive energy and entropy or particle size: the yin and yang of
physical and biological science: It is well known that equilibrium in a thermodynamic system results from a
competition or balance between lowering the energy and increasing the entropy,
or at least the product of the temperature and entropy. This is... | cond-mat_stat-mech |
Percolation on a Feynman Diagram: In a recent paper hep-lat/9704020 we investigated Potts models on ``thin''
random graphs -- generic Feynman diagrams, using the idea that such models may
be expressed as the N --> 1 limit of a matrix model. The models displayed first
order transitions for all q greater than 2, giving i... | cond-mat_stat-mech |
Second-order phase transition in the Heisenberg model on a triangular
lattice with competing interactions: We discover an example where the dissociation of the Z2 vortices occurs at
the second-order phase transition point. We investigate the nature of phase
transition in a classical Heisenberg model on a distorted tr... | cond-mat_stat-mech |
Linear response subordination to intermittent energy release in
off-equilibrium aging dynamics: The interpretation of experimental and numerical data describing
off-equilibrium aging dynamics crucially depends on the connection between
spontaneous and induced fluctuations. The hypothesis that linear response
fluctuat... | cond-mat_stat-mech |
Some general features of matrix product states in stochastic systems: We will prove certain general relations in Matrix Product Ansatz for one
dimensional stochastic systems, which are true in both random and sequential
updates. We will derive general MPA expressions for the currents and current
correlators and find th... | cond-mat_stat-mech |
Effects of turbulent mixing on the nonequilibrium critical behaviour: We study effects of turbulent mixing on the critical behaviour of a
nonequilibrium system near its second-order phase transition between the
absorbing and fluctuating states. The model describes the spreading of an agent
(e.g., infectious disease) in... | cond-mat_stat-mech |
Wet Sand flows better than dry sand: We investigated the yield stress and the apparent viscosity of sand with and
without small amounts of liquid. By pushing the sand through a tube with an
enforced Poiseuille like profile we minimize the effect of avalanches and shear
localization. We find that the system starts to fl... | cond-mat_stat-mech |
Characterization of Sleep Stages by Correlations of Heartbeat Increments: We study correlation properties of the magnitude and the sign of the
increments in the time intervals between successive heartbeats during light
sleep, deep sleep, and REM sleep using the detrended fluctuation analysis
method. We find short-range... | cond-mat_stat-mech |
Frequency clustering and disaggregation in idealized fractal tree: The pattern of formation of resonant frequency clusters in idealized
sympodial dichasium trees is revealed by numerical modeling and analysis. The
larger cluster's cardinality correlates with that of a Small World Network,
which share the same adjacency... | cond-mat_stat-mech |
Wind on the boundary for the Abelian sandpile model: We continue our investigation of the two-dimensional Abelian sandpile model
in terms of a logarithmic conformal field theory with central charge c=-2, by
introducing two new boundary conditions. These have two unusual features: they
carry an intrinsic orientation, an... | cond-mat_stat-mech |
Low-temperature behavior of the $O(N)$ models below two dimensions: We investigate the critical behavior and the nature of the low-temperature
phase of the $O(N)$ models treating the number of field components $N$ and the
dimension $d$ as continuous variables with a focus on the $d\leq 2$ and $N\leq
2$ quadrant of the ... | cond-mat_stat-mech |
From the density functional to the single-particle Green function: An analysis shows that the ground state of the inhomogeneous system of
interacting electrons in the static external field, which satisfies the
thermodynamic limit, can be consistently described only using the Green
function theory based on the quantum f... | cond-mat_stat-mech |
A Biologically Motivated Asymmetric Exclusion Process: interplay of
congestion in RNA polymerase traffic and slippage of nascent transcript: We develope a theoretical framework, based on exclusion process, that is
motivated by a biological phenomenon called transcript slippage (TS). In this
model a discrete lattice r... | cond-mat_stat-mech |
50 years of correlations with Michael Fisher and the renormalization
group: This paper will be published in ``50 years of the renormalization group",
dedicated to the memory of Michael E. Fisher, edited by Amnon Aharony, Ora
Entin-Wohlman, David Huse, and Leo Radzihovsky, World Scientific. I start with
a review of my... | cond-mat_stat-mech |
Nonergodic Brownian oscillator: Low-frequency response: An undisturbed Brownian oscillator may not reach thermal equilibrium with the
thermal bath due to the formation of a localized normal mode. The latter may
emerge when the spectrum of the thermal bath has a finite upper bound
$\omega_0$ and the oscillator natural f... | cond-mat_stat-mech |
Fluctuations and Criticality of a Granular Solid-Liquid-like Phase
Transition: We present an experimental study of density and order fluctuations in the
vicinity of the solid-liquid-like transition that occurs in a vibrated
quasi-two-dimensional granular system. The two-dimensional projected static and
dynamic correl... | cond-mat_stat-mech |
Nonequilibrium thermodynamics as a gauge theory: We assume that markovian dynamics on a finite graph enjoys a gauge symmetry
under local scalings of the probability density, derive the transformation law
for the transition rates and interpret the thermodynamic force as a gauge
potential. A widely accepted expression fo... | cond-mat_stat-mech |
Gauge Invariant Formulations of Dicke-Preparata Super-Radiant Models: In a gauge invariant formulation of the molecular electric dipole-photon
interaction, the rigorous coupling is strictly linear in the photon creation
and photon annihilation operators. The linear coupling allows for a
super-radiant phase transition a... | cond-mat_stat-mech |
Aging and fluctuation-dissipation ratio for the diluted Ising Model: We consider the out-of-equilibrium, purely relaxational dynamics of a weakly
diluted Ising model in the aging regime at criticality. We derive at first
order in a $\sqrt{\epsilon}$ expansion the two-time response and correlation
functions for vanishin... | cond-mat_stat-mech |
Organic nanowires and chiral patterns of tetracyanoquinodimethane (TCNQ)
grown by vacuum vapor deposition: Organic nanowires and quasi-two-dimensional chiral patterns of
tetracyanoquinodimethane have been successfully generated by vacuum thermal
evaporation. The nanowires and patterns were characterized by using atom... | cond-mat_stat-mech |
Survival Analysis, Master Equation, Efficient Simulation of Path-Related
Quantities, and Hidden State Concept of Transitions: This paper presents and derives the interrelations between survival analysis
and master equation. Survival analysis deals with modeling the transitions
between succeeding states of a system in... | cond-mat_stat-mech |
Analytical calculations of the Quantum Tsallis thermodynamic variables: In this article, we provide an account of analytical results related to the
Tsallis thermodynamics that have been the subject matter of a lot of studies in
the field of high-energy collisions. After reviewing the results for the
classical case in t... | cond-mat_stat-mech |
Coagulation kinetics beyond mean field theory using an optimised Poisson
representation: Binary particle coagulation can be modelled as the repeated random process of
the combination of two particles to form a third. The kinetics can be
represented by population rate equations based on a mean field assumption,
accord... | cond-mat_stat-mech |
Universal free energy correction for the two-dimensional one-component
plasma: The universal finite-size correction to the free energy of a two-dimensional
Coulomb system is checked in the special case of a one-component plasma on a
sphere. The correction is related to the known second moment of the short-range
part ... | cond-mat_stat-mech |
Eliminating the cuspidal temperature profile of a non-equilibrium chain: In 1967, Z. Rieder, J. L. Lebowitz and E. Lieb (RLL) introduced a model of
heat conduction on a crystal that became a milestone problem of non-equilibrium
statistical mechanics. Along with its inability to reproduce Fourier's Law -
which subsequen... | cond-mat_stat-mech |
Evolutionary design of non-frustrated networks of phase-repulsive
oscillators: Evolutionary optimisation algorithm is employed to design networks of
phase-repulsive oscillators that achieve an anti-phase synchronised state. By
introducing the link frustration, the evolutionary process is implemented by
rewiring the l... | cond-mat_stat-mech |
Quasi-elastic solutions to the nonlinear Boltzmann equation for
dissipative gases: The solutions of the one-dimensional homogeneous nonlinear Boltzmann equation
are studied in the QE-limit (Quasi-Elastic; infinitesimal dissipation) by a
combination of analytical and numerical techniques. Their behavior at large
veloc... | cond-mat_stat-mech |
Scaling of the glassy dynamics of soft repulsive particles: a
mode-coupling approach: We combine the hyper-netted chain approximation of liquid state theory with
the mode-coupling theory of the glass transition to analyze the structure and
dynamics of soft spheres interacting via harmonic repulsion. We determine the
... | cond-mat_stat-mech |
Low temperature ratchet current: In [3], the low temperature ratchet current in a multilevel system is
considered. In this note, we give an explicit expression for it and find its
numerical value as the number of states goes to infinity. | cond-mat_stat-mech |
Series Expansion of the Percolation Threshold on Hypercubic Lattices: We study proper lattice animals for bond- and site-percolation on the
hypercubic lattice $\mathbb{Z}^d$ to derive asymptotic series of the
percolation threshold $p_c$ in $1/d$, The first few terms of these series were
computed in the 1970s, but the s... | cond-mat_stat-mech |
Statistical origin of Legendre invariant metrics: Legendre invariant metrics have been introduced in Geometrothermodynamics to
take into account the important fact that the thermodynamic properties of
physical systems do not depend on the choice of thermodynamic potential from a
geometric perspective. In this work, we ... | cond-mat_stat-mech |
Permutation Phase and Gentile Statistics: This paper presents a new way to construct single-valued many-body
wavefunctions of identical particles with intermediate exchange phases between
Fermi and Bose statistics. It is demonstrated that the exchange phase is not a
representation character but the \textit{word metric}... | cond-mat_stat-mech |
Kinetic theory of collisionless relaxation for systems with long-range
interactions: We develop the kinetic theory of collisionless relaxation for systems with
long-range interactions in relation to the statistical theory of Lynden-Bell.
We treat the multi-level case. We make the connection between the kinetic
equati... | cond-mat_stat-mech |
Optimal protocols for Hamiltonian and Schrödinger dynamics: For systems in an externally controllable time-dependent potential, the
optimal protocol minimizes the mean work spent in a finite-time transition
between given initial and final values of a control parameter. For an initially
thermalized ensemble, we consider... | cond-mat_stat-mech |
Explicit formula of energy-conserving Fokker-Planck type collision term
for single species point vortex systems with weak mean flow: This paper derives a kinetic equation for a two-dimensional single species
point vortex system. We consider a situation (different from the ones
considered previously) of weak mean flow... | cond-mat_stat-mech |
Universality and criticality of a second-order granular
solid-liquid-like phase transition: We experimentally study the critical properties of the non-equilibrium
solid-liquid-like transition that takes place in vibrated granular matter. The
critical dynamics is characterized by the coupling of the density field with... | cond-mat_stat-mech |
Equilibrium sampling of hard spheres up to the jamming density and
beyond: We implement and optimize a particle-swap Monte-Carlo algorithm that allows
us to thermalize a polydisperse system of hard spheres up to
unprecedentedly-large volume fractions, where \revise{previous} algorithms and
experiments fail to equilib... | cond-mat_stat-mech |
The Mixed Spin 3 - Spin 3/2 Ferrimagnetic Ising Model on Cellular
Automaton: The mixed spin 3- spin 3/2 Ising model has been simulated using cooling
algorithm on cellular automaton (CA). The simulations have been made in the
interval -6<=D<=6 for J=1 for the square lattices with periodic boundary
conditions. The grou... | cond-mat_stat-mech |
Hamiltonian dynamics of the two-dimensional lattice phi^4 model: The Hamiltonian dynamics of the classical $\phi^4$ model on a two-dimensional
square lattice is investigated by means of numerical simulations. The
macroscopic observables are computed as time averages. The results clearly
reveal the presence of the conti... | cond-mat_stat-mech |
Magnitude-Dependent Omori Law: Empirical Study and Theory: We propose a new physically-based ``multifractal stress activation'' model of
earthquake interaction and triggering based on two simple ingredients: (i) a
seismic rupture results from activated processes giving an exponential
dependence on the local stress; (ii... | cond-mat_stat-mech |
Totally asymmetric limit for models of heat conduction: We consider one dimensional weakly asymmetric boundary driven models of heat
conduction. In the cases of a constant diffusion coefficient and of a quadratic
mobility we compute the quasi-potential that is a non local functional obtained
by the solution of a variat... | cond-mat_stat-mech |
Renormalized Multicanonical Sampling: For a homogeneous system divisible into identical, weakly interacting
subsystems, the muticanonical procedure can be accelerated if it is first
applied to determine of the density of states for a single subsystem. This
result is then employed to approximate the state density of a s... | cond-mat_stat-mech |
A weighted planar stochastic lattice with scale-free, small-world and
multifractal properties: We investigate a class of weighted planar stochastic lattice (WPSL1) created
by random sequential nucleation of seed from which a crack is grown parallel to
one of the sides of the chosen block and ceases to grow upon hitti... | cond-mat_stat-mech |
Transport Equations from Liouville Equations for Fractional Systems: We consider dynamical systems that are described by fractional power of
coordinates and momenta. The fractional powers can be considered as a
convenient way to describe systems in the fractional dimension space. For the
usual space the fractional syst... | cond-mat_stat-mech |
Topological squashed entanglement: nonlocal order parameter for
one-dimensional topological superconductors: Identifying entanglement-based order parameters characterizing topological
systems, in particular topological superconductors and topological insulators,
has remained a major challenge for the physics of quant... | cond-mat_stat-mech |
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