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The influence of statistical properties of Fourier coefficients on
random surfaces: Many examples of natural systems can be described by random Gaussian
surfaces. Much can be learned by analyzing the Fourier expansion of the
surfaces, from which it is possible to determine the corresponding Hurst
exponent and consequ... | cond-mat_stat-mech |
Gaussian fluctuations in an ideal bose-gas -- a simple model: Based on the canonical ensemble, we suggested the simple scheme for taking
into account Gaussian fluctuations in a finite system of ideal boson gas.
Within framework of scheme we investigated the influence of fluctuations on the
particle distribution in Bose... | cond-mat_stat-mech |
Pushing the limits of EPD zeros method: The use of partition function zeros in the study of phase transition is
growing in the last decade mainly due to improved numerical methods as well as
novel formulations and analysis. In this paper the impact of different
parameters choice for the energy probability distribution ... | cond-mat_stat-mech |
Intermolecular effects in the center-of-mass dynamics of unentangled
polymer fluids: We investigate the anomalous dynamics of unentangled polymer melts. The
proposed equation of motion formally relates the anomalous center-of-mass
diffusion, as observed in computer simulations and experiments, to the nature
of the ef... | cond-mat_stat-mech |
Large deviations and conditioning for chaotic non-invertible
deterministic maps: analysis via the forward deterministic dynamics and the
backward stochastic dynamics: The large deviations properties of trajectory observables for chaotic
non-invertible deterministic maps as studied recently by N. R. Smith, Phys.
Rev... | cond-mat_stat-mech |
Renormalization-group study of the many-body localization transition in
one dimension: Using a new approximate strong-randomness renormalization group (RG), we
study the many-body localized (MBL) phase and phase transition in
one-dimensional quantum systems with short-range interactions and quenched
disorder. Our RG ... | cond-mat_stat-mech |
Statics and dynamics of the ten-state nearest-neighbor Potts glass on
the simple-cubic lattice: We present the results of Monte Carlo simulations of two different Potts
glass models with short range random interactions. In the first model a \pm
J-distribution of the bonds is chosen, in the second model a Gaussian
dis... | cond-mat_stat-mech |
An Efficient Monte-Carlo Method for Calculating Free-Energy in
Long-Range Interacting Systems: We present an efficient Monte-Carlo method for long-range interacting systems
to calculate free energy as a function of an order parameter. In this method, a
variant of the Wang-Landau method regarding the order parameter i... | cond-mat_stat-mech |
Dynamical Rare event simulation techniques for equilibrium and
non-equilibrium systems: I give an overview of rare event simulation techniques to generate dynamical
pathways across high free energy barriers. The methods on which I will
concentrate are the reactive flux approach, transition path sampling,
(replica-exc... | cond-mat_stat-mech |
Bose-Einstein condensation under external conditions: We discuss the phenomenon of Bose-Einstein condensation under general
external conditions using connections between partition sums and the
heat-equation. Thermodynamical quantities like the critical temperature are
given in terms of the heat-kernel coefficients of t... | cond-mat_stat-mech |
Exact thermodynamics and phase diagram of integrable t-J model with
chiral interaction: We study the phase diagram and finite temperature properties of an integrable
generalization of the one-dimensional super-symmetric t-J model containing
interactions explicitly breaking parity-time reversal (PT) symmetries. To thi... | cond-mat_stat-mech |
Three lectures on statistical mechanics: These lectures were prepared for the 2014 PCMI graduate summer school and
were designed to be a lightweight introduction to statistical mechanics for
mathematicians. The applications feature some of the themes of the summer
school: sphere packings and tilings. | cond-mat_stat-mech |
Application of a time-convolutionless stochastic Schrödinger equation
to energy transport and thermal relaxation: Quantum stochastic methods based on effective wave functions form a framework
for investigating the generally non-Markovian dynamics of a quantum-mechanical
system coupled to a bath. They promise to be co... | cond-mat_stat-mech |
Behavior of pressure and viscosity at high densities for two-dimensional
hard and soft granular materials: The pressure and the viscosity in two-dimensional sheared granular assemblies
are investigated numerically. The behavior of both pressure and viscosity is
smoothly changing qualitatively when starting from a mon... | cond-mat_stat-mech |
Stochastic dynamics of N correlated binary variables and non-extensive
statistical mechanics: The non-extensive statistical mechanics has been applied to describe a
variety of complex systems with inherent correlations and feedback loops. Here
we present a dynamical model based on previously proposed static model
exh... | cond-mat_stat-mech |
Effective Temperature in an Interacting, Externally Driven, Vertex
System: Theory and Experiment on Artificial Spin Ice: Frustrated arrays of interacting single-domain nanomagnets provide important
model systems for statistical mechanics, because they map closely onto
well-studied vertex models and are amenable to di... | cond-mat_stat-mech |
Thermodynamics of the Coarse-Graining Master Equation: We study the coarse-graining approach to derive a generator for the evolution
of an open quantum system over a finite time interval. The approach does not
require a secular approximation but nevertheless generally leads to a
Lindblad-Gorini-Kossakowski-Sudarshan ge... | cond-mat_stat-mech |
Monte Carlo study of an anisotropic Ising multilayer with
antiferromagnetic interlayer couplings: We present a Monte Carlo study of the magnetic properties of an Ising
multilayer ferrimagnet. The system consists of two kinds of non-equivalent
planes, one of which is site-diluted. All intralayer couplings are
ferromag... | cond-mat_stat-mech |
Fluctuations of isolated and confined surface steps of monoatomic height: The temporal evolution of equilibrium fluctuations for surface steps of
monoatomic height is analyzed studying one-dimensional solid-on-solid models.
Using Monte Carlo simulations, fluctuations due to periphery-diffusion (PD) as
well as due to ev... | cond-mat_stat-mech |
Anomalous behavior of ideal Fermi gas below two dimensions: Normal behavior of the thermodynamic properties of a Fermi gas in $d>2$
dimensions, integer or not, means monotonically increasing or decreasing of its
specific heat, chemical potential or isothermal sound velocity, all as
functions of temperature. However, fo... | cond-mat_stat-mech |
Freezing and clustering transitions for penetrable spheres: We consider a system of spherical particles interacting by means of a pair
potential equal to a finite constant for interparticle distances smaller than
the sphere diameter and zero outside. The model may be a prototype for the
interaction between micelles in ... | cond-mat_stat-mech |
Quantum critical behavior of itinerant ferromagnets: We investigate the quantum phase transition of itinerant ferromagnets. It is
shown that correlation effects in the underlying itinerant electron system lead
to singularities in the order parameter field theory that result in an
effective long-range interaction betwee... | cond-mat_stat-mech |
Information Geometry of q-Gaussian Densities and Behaviors of Solutions
to Related Diffusion Equations: This paper presents new geometric aspects of the behaviors of solutions to
the porous medium equation (PME) and its associated equation. First we discuss
the Legendre structure with information geometry on the mani... | cond-mat_stat-mech |
Dynamics of Granular Stratification: Spontaneous stratification in granular mixtures has been recently reported by
H. A. Makse et al. [Nature 386, 379 (1997)]. Here we study experimentally the
dynamical processes leading to spontaneous stratification. Using a high-speed
video camera, we study a rapid flow regime where ... | cond-mat_stat-mech |
Mapping of the unoccupied states and relevant bosonic modes via the time
dependent momentum distribution: The unoccupied states of complex materials are difficult to measure, yet play
a key role in determining their properties. We propose a technique that can
measure the unoccupied states, called time-resolved Compto... | cond-mat_stat-mech |
Preparation and relaxation of very stable glassy states of a simulated
liquid: We prepare metastable glassy states in a model glass-former made of
Lennard-Jones particles by sampling biased ensembles of trajectories with low
dynamical activity. These trajectories form an inactive dynamical phase whose
`fast' vibratio... | cond-mat_stat-mech |
Third-harmonic exponent in three-dimensional N-vector models: We compute the crossover exponent associated with the spin-3 operator in
three-dimensional O(N) models. A six-loop field-theoretical calculation in the
fixed-dimension approach gives $\phi_3 = 0.601(10)$ for the experimentally
relevant case N=2 (XY model). T... | cond-mat_stat-mech |
Milestoning estimators of dissipation in systems observed at a coarse
resolution: When ignorance is truly bliss: Many non-equilibrium, active processes are observed at a coarse-grained
level, where different microscopic configurations are projected onto the same
observable state. Such "lumped" observables display mem... | cond-mat_stat-mech |
Universal threshold for the dynamical behavior of lattice systems with
long-range interactions: Dynamical properties of lattice systems with long-range pair interactions,
decaying like 1/r^{\alpha} with the distance r, are investigated, in particular
the time scales governing the relaxation to equilibrium. Upon varyi... | cond-mat_stat-mech |
Spontaneous symmetry breaking and Nambu-Goldstone modes in dissipative
systems: We discuss spontaneous breaking of internal symmetry and its Nambu-Goldstone
(NG) modes in dissipative systems. We find that there exist two types of NG
modes in dissipative systems corresponding to type-A and type-B NG modes in
Hamiltoni... | cond-mat_stat-mech |
Comment on ``Solution of Classical Stochastic One-Dimensional Many-Body
Systems'': In a recent Letter, Bares and Mobilia proposed the method to find solutions
of the stochastic evolution operator $H=H_0 + {\gamma\over L} H_1$ with a
non-trivial quartic term $H_1$. They claim, ``Because of the conservation of
probabil... | cond-mat_stat-mech |
Random Walk over Basins of Attraction to Construct Ising Energy
Landscapes: An efficient algorithm is developed to construct disconnectivity graphs by a
random walk over basins of attraction. This algorithm can detect a large number
of local minima, find energy barriers between them, and estimate local thermal
averag... | cond-mat_stat-mech |
Einstein relation and hydrodynamics of nonequilibrium mass transport
processes: We obtain hydrodynamic descriptions of a broad class of conserved-mass
transport processes on a ring. These processes are governed by chipping,
diffusion and coalescence of masses, where microscopic probability weights in
their nonequilib... | cond-mat_stat-mech |
Modelling quasicrystals at positive temperature: We consider a two-dimensional lattice model of equilibrium statistical
mechanics, using nearest neighbor interactions based on the matching conditions
for an aperiodic set of 16 Wang tiles. This model has uncountably many ground
state configurations, all of which are non... | cond-mat_stat-mech |
Correlation Effects in Ultracold Two-Dimensional Bose Gases: We study various properties of an ultracold two-dimensional (2D) Bose gas
that are beyond a mean-field description. We first derive the effective
interaction for such a system as realized in current experiments, which
requires the use of an energy dependent $... | cond-mat_stat-mech |
Nanowire reconstruction under external magnetic fields: We consider the different structures that a magnetic nanowire adsorbed on a
surface may adopt under the influence of external magnetic or electric fields.
First, we propose a theoretical framework based on an Ising-like extension of
the 1D Frenkel-Kontorova model,... | cond-mat_stat-mech |
Quantum critical behaviors and decoherence of weakly coupled quantum
Ising models within an isolated global system: We discuss the quantum dynamics of an isolated composite system consisting of
weakly interacting many-body subsystems. We focus on one of the subsystems, S,
and study the dependence of its quantum corre... | cond-mat_stat-mech |
Fluctuations and correlations in hexagonal optical patterns: We analyze the influence of noise in transverse hexagonal patterns in
nonlinear Kerr cavities. The near field fluctuations are determined by the
neutrally stable Goldstone modes associated to translational invariance and by
the weakly damped soft modes. Howev... | cond-mat_stat-mech |
Knot probabilities in equilateral random polygons: We consider the probability of knotting in equilateral random polygons in
Euclidean 3-dimensional space, which model, for instance, random polymers.
Results from an extensive Monte Carlo dataset of random polygons indicate a
universal scaling formula for the knotting p... | cond-mat_stat-mech |
The effect of disorder on the hierarchical modularity in complex systems: We consider a system hierarchically modular, if besides its hierarchical
structure it shows a sequence of scale separations from the point of view of
some functionality or property. Starting from regular, deterministic objects
like the Vicsek sno... | cond-mat_stat-mech |
Generalized Entropies and Statistical Mechanics: We consider the problem of defining free energy and other thermodynamic
functions when the entropy is given as a general function of the probablity
distribution, including that for non extensive forms. We find that the free
energy, which is central to the determination o... | cond-mat_stat-mech |
Minimal entropy production in the presence of anisotropic fluctuations: Anisotropy in temperature, chemical potential, or ion concentration, provides
the fuel that feeds dynamical processes that sustain life. At the same time,
anisotropy is a root cause of incurred losses manifested as entropy production.
In this work ... | cond-mat_stat-mech |
Metastability for a stochastic dynamics with a parallel heat bath
updating rule: We consider the problem of metastability for a stochastic dynamics with a
parallel updating rule with single spin rates equal to those of the heat bath
for the Ising nearest neighbors interaction. We study the exit from the
metastable ph... | cond-mat_stat-mech |
Exploring Conformational Landscapes Along Anharmonic Low-Frequency
Vibrations: We aim to automatize the identification of collective variables to simplify
and speed up enhanced sampling simulations of conformational dynamics in
biomolecules. We focus on anharmonic low-frequency vibrations that exhibit
fluctuations on... | cond-mat_stat-mech |
Forward-Flux Sampling with Jumpy Order Parameters: Forward-flux sampling (FFS) is a path sampling technique that has gained
increased popularity in recent years, and has been used to compute rates of
rare event phenomena such as crystallization, condensation, hydrophobic
evaporation, DNA hybridization and protein foldi... | cond-mat_stat-mech |
Extreme event statistics of daily rainfall: Dynamical systems approach: We analyse the probability densities of daily rainfall amounts at a variety
of locations on the Earth. The observed distributions of the amount of rainfall
fit well to a q-exponential distribution with exponent q close to q=1.3. We
discuss possible... | cond-mat_stat-mech |
On the typical properties of inverse problems in statistical mechanics: In this work we consider the problem of extracting a set of interaction
parameters from an high-dimensional dataset describing T independent
configurations of a complex system composed of N binary units. This problem is
formulated in the language o... | cond-mat_stat-mech |
Counter-ion density profile around charged cylinders: the
strong-coupling needle limit: Charged rod-like polymers are not able to bind all their neutralizing
counter-ions: a fraction of them evaporates while the others are said to be
condensed. We study here counter-ion condensation and its ramifications, both
numeri... | cond-mat_stat-mech |
Monte Carlo Results for Projected Self-Avoiding Polygons: A
Two-dimensional Model for Knotted Polymers: We introduce a two-dimensional lattice model for the description of knotted
polymer rings. A polymer configuration is modeled by a closed polygon drawn on
the square diagonal lattice, with possible crossings descri... | cond-mat_stat-mech |
Construction of the factorized steady state distribution in models of
mass transport: For a class of one-dimensional mass transport models we present a simple and
direct test on the chipping functions, which define the probabilities for mass
to be transferred to neighbouring sites, to determine whether the stationary... | cond-mat_stat-mech |
Large Deviations of Convex Hulls of the "True" Self-Avoiding Random Walk: We study the distribution of the area and perimeter of the convex hull of the
"true" self-avoiding random walk in a plane. Using a Markov chain Monte Carlo
sampling method, we obtain the distributions also in their far tails, down to
probabilitie... | cond-mat_stat-mech |
Boltzmann's entropy during free expansion of an interacting ideal gas: In this work we study the evolution of Boltzmann's entropy in the context of
free expansion of a one dimensional interacting gas inside a box. Boltzmann's
entropy is defined for single microstates and is given by the phase-space
volume occupied by m... | cond-mat_stat-mech |
Levy Flights in Inhomogeneous Media: We investigate the impact of external periodic potentials on superdiffusive
random walks known as Levy flights and show that even strongly superdiffusive
transport is substantially affected by the external field. Unlike ordinary
random walks, Levy flights are surprisingly sensitive ... | cond-mat_stat-mech |
Generalized Theory of Landau Damping: Collisionless damping of electrical waves in plasma is investigated in the
frame of the classical formulation of the problem. The new principle of
regularization of the singular integral is used. The exact solution of the
corresponding dispersion equation is obtained. The results o... | cond-mat_stat-mech |
An axiomatic characterization of a two-parameter extended relative
entropy: The uniqueness theorem for a two-parameter extended relative entropy is
proven. This result extends our previous one, the uniqueness theorem for a
one-parameter extended relative entropy, to a two-parameter case. In addition,
the properties o... | cond-mat_stat-mech |
Dominance of extreme statistics in a prototype many-body Brownian
ratchet: Many forms of cell motility rely on Brownian ratchet mechanisms that involve
multiple stochastic processes. We present a computational and theoretical study
of the nonequilibrium statistical dynamics of such a many-body ratchet, in the
specifi... | cond-mat_stat-mech |
Nematic - Isotropic Transition in Porous Media - a Monte Carlo Study: We propose a lattice model to simulate the influence of porous medium on the
Nematic - Isotropic transition of liquid crystal confined to the pores. The
effects of pore size and pore connectivity are modelled through a disorder
parameter. Monte Carlo... | cond-mat_stat-mech |
A Worm Algorithm for Two-Dimensional Spin Glasses: A worm algorithm is proposed for the two-dimensional spin glasses. The method
is based on a low-temperature expansion of the partition function. The
low-temperature configurations of the spin glass on square lattice can be
viewed as strings connecting pairs of frustrat... | cond-mat_stat-mech |
Variation along liquid isomorphs of the driving force for
crystallization: We investigate the variation of the driving force for crystallization of a
supercooled liquid along isomorphs, curves along which structure and dynamics
are invariant. The variation is weak, and can be predicted accurately for the
Lennard-Jone... | cond-mat_stat-mech |
Comment on ``Deterministic equations of motion and phase ordering
dynamics'': Zheng [Phys. Rev. E {\bf 61}, 153 (2000), cond-mat/9909324] claims that phase
ordering dynamics in the microcanonical $\phi^4$ model displays unusual scaling
laws. We show here, performing more careful numerical investigations, that
Zheng o... | cond-mat_stat-mech |
Anisotropies of the Hamiltonian and the Wave Function: Inversion
Phenomena in Quantum Spin Chains: We investigate the inversion phenomenon between the XXZ anisotropies of the
Hamiltonian and the wave function in quantum spin chains, mainly focusing on
the S=1/2 trimerized XXZ model with the next-nearest-neighbor inte... | cond-mat_stat-mech |
Instanton Approach to Large $N$ Harish-Chandra-Itzykson-Zuber Integrals: We reconsider the large $N$ asymptotics of Harish-Chandra-Itzykson-Zuber
integrals. We provide, using Dyson's Brownian motion and the method of
instantons, an alternative, transparent derivation of the Matytsin formalism
for the unitary case. Our ... | cond-mat_stat-mech |
Resonant diffusion on solid surfaces: A new approach to Brownian motion of atomic clusters on solid surfaces is
developed. The main topic discussed is the dependence of the diffusion
coefficient on the fit between the surface static potential and the internal
cluster configuration. It is shown this dependence is non-mo... | cond-mat_stat-mech |
Anomalous spin frustration enforced by a magnetoelastic coupling in the
mixed-spin Ising model on decorated planar lattices: The mixed spin-1/2 and spin-S Ising model on a decorated planar lattice
accounting for lattice vibrations of decorating atoms is treated by making use
of the canonical coordinate transformation... | cond-mat_stat-mech |
Dissolution in a field: We study the dissolution of a solid by continuous injection of reactive
``acid'' particles at a single point, with the reactive particles undergoing
biased diffusion in the dissolved region. When acid encounters the substrate
material, both an acid particle and a unit of the material disappear. ... | cond-mat_stat-mech |
A Fractional entropy in Fractal phase space: properties and
characterization: A two parameter generalization of Boltzmann-Gibbs-Shannon entropy based on
natural logarithm is introduced. The generalization of the Shannon-Kinchinn
axioms corresponding to the two parameter entropy is proposed and verified. We
present th... | cond-mat_stat-mech |
Dissipative Quantum Systems and the Heat Capacity Enigma: We present a detailed study of the quantum dissipative dynamics of a charged
particle in a magnetic field. Our focus of attention is the effect of
dissipation on the low- and high-temperature behavior of the specific heat at
constant volume. After providing a br... | cond-mat_stat-mech |
A constrained stochastic state selection method applied to quantum spin
systems: We describe a further development of the stochastic state selection method,
which is a kind of Monte Carlo method we have proposed in order to numerically
study large quantum spin systems. In the stochastic state selection method we
make... | cond-mat_stat-mech |
Dissipative Effects in Nonlinear Klein-Gordon Dynamics: We consider dissipation in a recently proposed nonlinear Klein-Gordon
dynamics that admits soliton-like solutions of the power-law form
$e_q^{i(kx-wt)}$, involving the $q$-exponential function naturally arising
within the nonextensive thermostatistics [$e_q^z \equ... | cond-mat_stat-mech |
Collective excitations of a periodic Bose condensate in the Wannier
representation: We study the dispersion relation of the excitations of a dilute Bose-Einstein
condensate confined in a periodic optical potential and its Bloch oscillations
in an accelerated frame. The problem is reduced to one-dimensionality through... | cond-mat_stat-mech |
Phase diagram of asymmetric Fermi gas across Feshbach resonance: We study the phase diagram of the dilute two-component Fermi gas at zero
temperature as a function of the polarization and coupling strength. We map out
the detailed phase separations between superfluid and normal states near the
Feshbach resonance. We sh... | cond-mat_stat-mech |
A complete theory of low-energy phase diagrams for two-dimensional
turbulence steady states and equilibria: For the 2D Euler equations and related models of geophysical flows, minima of
energy--Casimir variational problems are stable steady states of the equations
(Arnol'd theorems). The same variational problems als... | cond-mat_stat-mech |
Energy fluctuations of a Brownian particle freely moving in a liquid: We study the statistical properties of the variation of the kinetic energy of
a spherical Brownian particle that freely moves in an incompressible fluid at
constant temperature. Based on the underdamped version of the generalized
Langevin equation th... | cond-mat_stat-mech |
Resonant Activation Phenomenon for Non-Markovian Potential-Fluctuation
Processes: We consider a generalization of the model by Doering and Gadoua to
non-Markovian potential-switching generated by arbitrary renewal processes. For
the Markovian switching process, we extend the original results by Doering and
Gadoua by ... | cond-mat_stat-mech |
Broken Ergodicity in classically chaotic spin systems: A one dimensional classically chaotic spin chain with asymmetric coupling and
two different inter-spin interactions, nearest neighbors and all-to-all, has
been considered. Depending on the interaction range, dynamical properties, as
ergodicity and chaoticity are st... | cond-mat_stat-mech |
Computer simulation of fluid phase transitions: The task of accurately locating fluid phase boundaries by means of computer
simulation is hampered by problems associated with sampling both coexisting
phases in a single simulation run. We explain the physical background to these
problems and describe how they can be tac... | cond-mat_stat-mech |
Efficiency fluctuations of small machines with unknown losses: The efficiency statistics of a small thermodynamic machine has been recently
investigated assuming that the total dissipation was a linear combination of
two currents: the input and output currents. Here, we relax this standard
assumption and reconsider the... | cond-mat_stat-mech |
Nonequilibrium work statistics of an Aharonov-Bohm flux: We investigate the statistics of work performed on a noninteracting electron
gas confined into a ring as a threaded magnetic field is turned on. For an
electron gas initially prepared in a grand canonical state it is demonstrated
that the Jarzynski equality conti... | cond-mat_stat-mech |
Preroughening transitions in a model for Si and Ge (001) type crystal
surfaces: The uniaxial structure of Si and Ge (001) facets leads to nontrivial
topological properties of steps and hence to interesting equilibrium phase
transitions. The disordered flat phase and the preroughening transition can be
stabilized with... | cond-mat_stat-mech |
First-order phase transition in $1d$ Potts model with long-range
interactions: The first-order phase transition in the one-dimensional $q$-state Potts model
with long-range interactions decaying with distance as $1/r^{1+\sigma}$ has
been studied by Monte Carlo numerical simulations for $0 < \sigma \le 1$ and
integer ... | cond-mat_stat-mech |
Reply to the comment on "Avalanches and Non-Gaussian Fluctuations of the
Global Velocity of Imbibition Fronts": In [R. Planet, S. Santucci and J. Ortin, Phys. Rev. Lett. 102, 094502
(2009)], we reported that both the size and duration of the global avalanches
observed during a forced imbibition process follow power l... | cond-mat_stat-mech |
An exact solution of the inelastic Boltzmann equation for the Couette
flow with uniform heat flux: In the steady Couette flow of a granular gas the sign of the heat flux
gradient is governed by the competition between viscous heating and inelastic
cooling. We show from the Boltzmann equation for inelastic Maxwell par... | cond-mat_stat-mech |
Escape from bounded domains driven by multi-variate $α$-stable
noises: In this paper we provide an analysis of a mean first passage time problem of
a random walker subject to a bi-variate $\alpha$-stable L\'evy type noise from
a 2-dimensional disk. For an appropriate choice of parameters the mean first
passage time r... | cond-mat_stat-mech |
A Cellular Automaton Model for the Traffic Flow in Bogota: In this work we propose a car cellular automaton model that reproduces the
experimental behavior of traffic flows in Bogot\'a. Our model includes three
elements: hysteresis between the acceleration and brake gaps, a delay time in
the acceleration, and an instan... | cond-mat_stat-mech |
Universality in volume law entanglement of pure quantum states: A pure quantum state can fully describe thermal equilibrium as long as one
focuses on local observables. Thermodynamic entropy can also be recovered as
the entanglement entropy of small subsystems. When the size of the subsystem
increases, however, quantum... | cond-mat_stat-mech |
Nonequilibrium Dynamic Phase transitions in ferromagnetic systems: Some
new phenomena: The nonequilibrium dynamic phase transition in ferromagnetic systems is
reviewed. Very recent results of dynamic transition in kinetic Ising model and
that in Heisenberg ferromagnet is discussed. | cond-mat_stat-mech |
Levy flights and Levy -Schroedinger semigroups: We analyze two different confining mechanisms for L\'{e}vy flights in the
presence of external potentials. One of them is due to a conservative force in
the corresponding Langevin equation. Another is implemented by
Levy-Schroedinger semigroups which induce so-called topo... | cond-mat_stat-mech |
Exact Analysis of ESR Shift in the Spin-1/2 Heisenberg Antiferromagnetic
Chain: A systematic perturbation theory is developed for the ESR shift and is
applied to the spin-1/2 Heisenberg chain. Using the Bethe ansatz technique, we
exactly analyze the resonance shift in the first order of perturbative
expansion with re... | cond-mat_stat-mech |
Dynamical phase diagram of the dc-driven underdamped Frenkel-Kontorova
chain: Multistep dynamical phase transition from the locked to the running state of
atoms in response to a dc external force is studied by MD simulations of the
generalized Frenkel-Kontorova model in the underdamped limit. We show that the
hierarc... | cond-mat_stat-mech |
Thermodynamic and magnetic properties of the Ising model with
nonmagnetic impurities: We consider a system of Ising spins s=1/2 with nonmagnetic impurities with
charge associated with pseudospin S=1. The charge density is fixed pursuant to
the concentration n. Analysis of the thermodynamic properties in the
one-dimen... | cond-mat_stat-mech |
Description of the dynamics of a random chain with rigid constraints in
the path integral framework: In this work we discuss the dynamics of a three dimensional chain which is
described by generalized nonlinear sigma model The formula of the probability
distribution of two topologically entangled chain is provided. T... | cond-mat_stat-mech |
Chiral exponents in frustrated spin models with noncollinear ordering: We compute the chiral critical exponents for the chiral transition in
frustrated two- and three-component spin systems with noncollinear order, such
as stacked triangular antiferromagnets (STA). For this purpose, we calculate
and analyze the six-loo... | cond-mat_stat-mech |
Thermodynamics of interacting hard rods on a lattice: We present an exact derivation of the isobaric partition function of lattice
hard rods with arbitrary nearest neighbor interactions. Free energy and all
thermodynamics functions are derived accordingly and they written in a form
that is a suitable for numerical impl... | cond-mat_stat-mech |
Rare events in stochastic processes with sub-exponential distributions
and the Big Jump principle: Rare events in stochastic processes with heavy-tailed distributions are
controlled by the big jump principle, which states that a rare large
fluctuation is produced by a single event and not by an accumulation of
cohere... | cond-mat_stat-mech |
Energy Landscape and Isotropic Tensile Strength of n-Alkane Glasses: Submission has been withdrawn due to copyright issues. | cond-mat_stat-mech |
Scaling of wetting and pre-wetting transitions on nano-patterned walls: We consider a nano-patterned planar wall consisting of a periodic array of
stripes of width $L$, which are completely wet by liquid (contact angle
$\theta=0$), separated by regions of width $D$ which are completely dry
(contact angle $\theta=\pi)$.... | cond-mat_stat-mech |
Capturing exponential variance using polynomial resources: applying
tensor networks to non-equilibrium stochastic processes: Estimating the expected value of an observable appearing in a non-equilibrium
stochastic process usually involves sampling. If the observable's variance is
high, many samples are required. In c... | cond-mat_stat-mech |
Swarming in disordered environments: The emergence of collective motion, also known as flocking or swarming, in
groups of moving individuals who orient themselves using only information from
their neighbors is a very general phenomenon that is manifested at multiple
spatial and temporal scales. Swarms that occur in nat... | cond-mat_stat-mech |
Statistics of interfacial fluctuations of radially growing clusters: The dynamics of fluctuating radially growing interfaces is approached using
the formalism of stochastic growth equations on growing domains. This framework
reveals a number of dynamic features arising during surface growth. For fast
growth, dilution, ... | cond-mat_stat-mech |
Edwards-like statistical mechanical description of the parking lot model
for vibrated granular materials: We apply the statistical mechanical approach based on the ``flat'' measure
proposed by Edwards and coworkers to the parking lot model, a model that
reproduces the main features of the phenomenology of vibrated gr... | cond-mat_stat-mech |
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