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Finite-size scaling of the random-field Ising model above the upper
critical dimension: Finite-size scaling above the upper critical dimension is a long-standing
puzzle in the field of Statistical Physics. Even for pure systems various
scaling theories have been suggested, partially corroborated by numerical
simulati... | cond-mat_stat-mech |
Phase Separation Transition in a Nonconserved Two Species Model: A one dimensional stochastic exclusion process with two species of particles,
$+$ and $-$, is studied where density of each species can fluctuate but the
total particle density is conserved. From the exact stationary state weights we
show that, in the lim... | cond-mat_stat-mech |
Duality between random trap and barrier models: We discuss the physical consequences of a duality between two models with
quenched disorder, in which particles propagate in one dimension among random
traps or across random barriers. We derive an exact relation between their
diffusion fronts at fixed disorder, and deduc... | cond-mat_stat-mech |
Marginal and Conditional Second Laws of Thermodynamics: We consider the entropy production of a strongly coupled bipartite system.
The total entropy production can be partitioned into various components, which
we use to define local versions of the Second Law that are valid without the
usual idealization of weak coupli... | cond-mat_stat-mech |
Screening of an electrically charged particle in a two-dimensional
two-component plasma at $Γ=2$: We consider the thermodynamic effects of an electrically charged impurity
immersed in a two-dimensional two-component plasma, composed by particles with
charges $\pm e$, at temperature $T$, at coupling $\Gamma=e^2/(k_B T... | cond-mat_stat-mech |
Fractional differential and integral operations and cumulative processes: In this study the general formula for differential and integral operations of
fractional calculus via fractal operators by the method of cumulative
diminution and cumulative growth is obtained. The under lying mechanism in the
success of traditio... | cond-mat_stat-mech |
Trapping of an active Brownian particle at a partially absorbing wall: Active matter concerns the self-organization of energy consuming elements
such as motile bacteria or self-propelled colloids. A canonical example is an
active Brownian particle (ABP) that moves at constant speed while its direction
of motion undergo... | cond-mat_stat-mech |
Dynamics of Eulerian walkers: We investigate the dynamics of Eulerian walkers as a model of self-organized
criticality. The evolution of the system is subdivided into characteristic
periods which can be seen as avalanches. The structure of avalanches is
described and the critical exponent in the distribution of first a... | cond-mat_stat-mech |
Long-wavelength instabilities in a system of interacting active
particles: Based on a microscopic model, we develop a continuum description for a
suspension of microscopic self propelled particles. With this continuum
description we study the role of long-range interactions in destabilizing
macroscopic ordered phases... | cond-mat_stat-mech |
Robustness of a perturbed topological phase: We investigate the stability of the topological phase of the toric code model
in the presence of a uniform magnetic field by means of variational and
high-order series expansion approaches. We find that when this perturbation is
strong enough, the system undergoes a topologi... | cond-mat_stat-mech |
Disorder Driven Roughening Transitions of Elastic Manifolds and Periodic
Elastic Media: The simultaneous effect of both disorder and crystal-lattice pinning on the
equilibrium behavior of oriented elastic objects is studied using scaling
arguments and a functional renormalization group technique. Our analysis
applies... | cond-mat_stat-mech |
The quantum (non-Abelian) Potts model and its exact solution: We generalize the classical one dimensional Potts model to the case where the
symmetry group is a non-Abelian finite group. It turns out that this new model
has a quantum nature in that its spectrum of energy eigenstates consists of
entangled states. We dete... | cond-mat_stat-mech |
A memory-induced diffusive-superdiffusive transition: ensemble and
time-averaged observables: The ensemble properties and time-averaged observables of a memory-induced
diffusive-superdiffusive transition are studied. The model consists in a random
walker whose transitions in a given direction depend on a weighted lin... | cond-mat_stat-mech |
Hierarchy Bloch Equations for the Reduced Statistical Density Operators
in Canonical and Grand canonical Ensembles: Starting from Bloch equation for a canonical ensemble, we deduce a set of
hierarchy equations for the reduced statistical density operator for an
identical many-body system with two-body interaction. Th... | cond-mat_stat-mech |
String Method for Generalized Gradient Flows: Computation of Rare Events
in Reversible Stochastic Processes: Rare transitions in stochastic processes can often be rigorously described
via an underlying large deviation principle. Recent breakthroughs in the
classification of reversible stochastic processes as gradient... | cond-mat_stat-mech |
Distribution of extremes in the fluctuations of two-dimensional
equilibrium interfaces: We investigate the statistics of the maximal fluctuation of two-dimensional
Gaussian interfaces. Its relation to the entropic repulsion between rigid walls
and a confined interface is used to derive the average maximal fluctuation... | cond-mat_stat-mech |
Symmetry decomposition of negativity of massless free fermions: We consider the problem of symmetry decomposition of the entanglement
negativity in free fermionic systems. Rather than performing the standard
partial transpose, we use the partial time-reversal transformation which
naturally encodes the fermionic statist... | cond-mat_stat-mech |
Non-universal dynamics of dimer growing interfaces: A finite temperature version of body-centered solid-on-solid growth models
involving attachment and detachment of dimers is discussed in 1+1 dimensions.
The dynamic exponent of the growing interface is studied numerically via the
spectrum gap of the underlying evoluti... | cond-mat_stat-mech |
Non Commutative Geometry of Tilings and Gap Labelling: To a given tiling a non commutative space and the corresponding C*-algebra
are constructed. This includes the definition of a topology on the groupoid
induced by translations of the tiling. The algebra is also the algebra of
observables for discrete models of one o... | cond-mat_stat-mech |
Blind calibration for compressed sensing: State evolution and an online
algorithm: Compressed sensing, allows to acquire compressible signals with a small
number of measurements. In applications, a hardware implementation often
requires a calibration as the sensing process is not perfectly known. Blind
calibration, t... | cond-mat_stat-mech |
Ageing of complex networks: Many real-world complex networks arise as a result of a competition between
growth and rewiring processes. Usually the initial part of the evolution is
dominated by growth while the later one rather by rewiring. The initial growth
allows the network to reach a certain size while rewiring to ... | cond-mat_stat-mech |
Anomalous scaling in statistical models of passively advected vector
fields: The field theoretic renormalization group and the operator product expansion
are applied to the stochastic model of passively advected vector field with the
most general form of the nonlinear term allowed by the Galilean symmetry. The
advect... | cond-mat_stat-mech |
Some geometric critical exponents for percolation and the random-cluster
model: We introduce several infinite families of new critical exponents for the
random-cluster model and present scaling arguments relating them to the k-arm
exponents. We then present Monte Carlo simulations confirming these
predictions. These ... | cond-mat_stat-mech |
Kinetic Ising model in an oscillating field: Avrami theory for the
hysteretic response and finite-size scaling for the dynamic phase transition: Hysteresis is studied for a two-dimensional, spin-1/2, nearest-neighbor,
kinetic Ising ferromagnet in an oscillating field, using Monte Carlo
simulations and analytical theo... | cond-mat_stat-mech |
Finite temperature vortex dynamics in Bose Einstein condensates: We study the decay of vortices in Bose-Einstein condensates at finite
temperatures by means of the Zaremba Nikuni Griffin formalism, in which the
condensate is modelled by a Gross Pitaevskiiequation, which is coupled to a
Boltzmann kinetic equation for th... | cond-mat_stat-mech |
On the transport of interacting particles in a chain of cavities:
Description through a modified Fick-Jacobs equation: We study the transport process of interacting Brownian particles in a tube of
varying cross section. To describe this process we introduce a modified
Fick-Jacobs equation, considering particles that ... | cond-mat_stat-mech |
Low-rank Monte Carlo for Smoluchowski-class equations: The work discusses a new low-rank Monte Carlo technique to solve
Smoluchowski-like kinetic equations. It drastically decreases the computational
complexity of modeling of size-polydisperse systems. For the studied systems it
can outperform the existing methods by m... | cond-mat_stat-mech |
Kinetic roughening model with opposite Kardar-Parisi-Zhang
nonlinearities: We introduce a model that simulates a kinetic roughening process with two
kinds of particles: one follows the ballistic deposition (BD) kinetic and, the
other, the restricted solid-on-solid (KK) kinetic. Both of these kinetics are
in the unive... | cond-mat_stat-mech |
Critical behavior of the planar magnet model in three dimensions: We use a hybrid Monte Carlo algorithm in which a single-cluster update is
combined with the over-relaxation and Metropolis spin re-orientation algorithm.
Periodic boundary conditions were applied in all directions. We have calculated
the fourth-order cum... | cond-mat_stat-mech |
Cooperative Transport of Brownian Particles: We consider the collective motion of finite-sized, overdamped Brownian
particles (e.g., motor proteins) in a periodic potential. Simulations of our
model have revealed a number of novel cooperative transport phenomena,
including (i) the reversal of direction of the net curre... | cond-mat_stat-mech |
Spatial Particle Condensation for an Exclusion Process on a Ring: We study the stationary state of a simple exclusion process on a ring which
was recently introduced by Arndt {\it et al} [J. Phys. A {\bf 31} (1998)
L45;cond-mat/9809123]. This model exhibits spatial condensation of particles.
It has been argued that the... | cond-mat_stat-mech |
Random matrices applications to soft spectra: It recently has been found that methods of the statistical theories of
spectra can be a useful tool in the analysis of spectra far from levels of
Hamiltonian systems. Several examples originate from areas, such as
quantitative linguistics and polymers. The purpose of the pr... | cond-mat_stat-mech |
Reaction Diffusion and Ballistic Annihilation Near an Impenetrable
Boundary: The behavior of the single-species reaction process $A+A\to O$ is examined
near an impenetrable boundary, representing the flask containing the reactants.
Two types of dynamics are considered for the reactants: diffusive and ballistic
propag... | cond-mat_stat-mech |
Kinetics of Ring Formation: We study reversible polymerization of rings. In this stochastic process, two
monomers bond and as a consequence, two disjoint rings may merge into a
compound ring, or, a single ring may split into two fragment rings. This
aggregation-fragmentation process exhibits a percolation transition wi... | cond-mat_stat-mech |
A Multicanonical Molecular Dynamics Study on a Simple Bead-Spring Model
for Protein Folding: We have performed a multicanonical molecular dynamics simulation on a simple
model protein.We have studied a model protein composed of charged, hydrophobic,
and neutral spherical bead monomers.Since the hydrophobic interactio... | cond-mat_stat-mech |
Simulating first-order phase transition with hierarchical autoregressive
networks: We apply the Hierarchical Autoregressive Neural (HAN) network sampling
algorithm to the two-dimensional $Q$-state Potts model and perform simulations
around the phase transition at $Q=12$. We quantify the performance of the
approach in... | cond-mat_stat-mech |
Quantum fluctuation theorem for initial near-equilibrium system: Quantum work fluctuation theorem (FT) commonly requires the system initially
prepared in an equilibrium state. Whether there exists universal exact quantum
work FT for initial state beyond equilibrium needs further discussions. Here, I
initialize the syst... | cond-mat_stat-mech |
Kinetics of phase ordering on curved surfaces: An interface description and numerical simulations of model A kinetics are
used for the first time to investigate the intra-surface kinetics of phase
ordering on corrugated surfaces. Geometrical dynamical equations are derived
for the domain interfaces. The dynamics is sho... | cond-mat_stat-mech |
The role of mobility in epidemics near criticality: The general epidemic process (GEP), also known as
susceptible-infected-recovered model (SIR), describes how an epidemic spreads
within a population of susceptible individuals who acquire permanent
immunization upon recovery. This model exhibits a second-order absorbin... | cond-mat_stat-mech |
Vibrations of closed-shell Lennard-Jones icosahedral and cuboctahedral
clusters and their effect on the cluster ground state energy: Vibrational spectra of closed shell Lennard-Jones icosahedral and
cuboctahedral clusters are calculated for shell numbers between 2 and 9.
Evolution of the vibrational density of states... | cond-mat_stat-mech |
Exclusion Processes and boundary conditions: A family of boundary conditions corresponding to exclusion processes is
introduced. This family is a generalization of the boundary conditions
corresponding to the simple exclusion process, the drop-push model, and the
one-parameter solvable family of pushing processes with ... | cond-mat_stat-mech |
Extended Gibbs ensembles with flow: A statistical treatment of finite unbound systems in the presence of
collective motions is presented and applied to a classical Lennard-Jones
Hamiltonian, numerically simulated through molecular dynamics. In the ideal gas
limit, the flow dynamics can be exactly re-casted into effecti... | cond-mat_stat-mech |
Microcanonical Monte Carlo Study of One Dimensional Self-Gravitating
Lattice Gas Models: In this study we present a Microcanonical Monte Carlo investigation of one
dimensional self-gravitating toy models. We study the effect of hard-core
potentials and compare to those results obtained with softening parameters and
a... | cond-mat_stat-mech |
Empirical Traffic Data and Their Implications for Traffic Modeling: From single vehicle data a number of new empirical results about the temporal
evolution, correlation, and density-dependence of macroscopic traffic
quantities have been determined. These have relevant implications for traffic
modeling and allow to test... | cond-mat_stat-mech |
Two-dimensional scaling properties of experimental fracture surfaces: The morphology of fracture surfaces encodes the various complex damage and
fracture processes occurring at the microstructure scale that have lead to the
failure of a given heterogeneous material. Understanding how to decipher this
morphology is ther... | cond-mat_stat-mech |
Correlated Percolation: Cluster concepts have been extremely useful in elucidating many problems in
physics. Percolation theory provides a generic framework to study the behavior
of the cluster distribution. In most cases the theory predicts a geometrical
transition at the percolation threshold, characterized in the pe... | cond-mat_stat-mech |
Strong Correlations and Fickian Water Diffusion in Narrow Carbon
Nanotubes: We have used atomistic molecular dynamics (MD) simulations to study the
structure and dynamics of water molecules inside an open ended carbon nanotube
placed in a bath of water molecules. The size of the nanotube allows only a
single file of ... | cond-mat_stat-mech |
Short range order in a steady state of irradiated Cu-Pd alloys:
Comparison with fluctuations at thermal equilibrium: The equilibrium short-range order (SRO) in Cu-Pd alloys is studied
theoretically. The evolution of the Fermi surface-related splitting of the
(110) diffuse intensity peak with changing temperature is e... | cond-mat_stat-mech |
Conservation-laws-preserving algorithms for spin dynamics simulations: We propose new algorithms for numerical integration of the equations of
motion for classical spin systems with fixed spatial site positions. The
algorithms are derived on the basis of a mid-point scheme in conjunction with
the multiple time staging ... | cond-mat_stat-mech |
On the statistical arrow of time: What is the physical origin of the arrow of time? It is a commonly held
belief in the physics community that it relates to the increase of entropy as
it appears in the statistical interpretation of the second law of
thermodynamics. At the same time, the subjective information-theoretic... | cond-mat_stat-mech |
Strongly-Coupled Coulomb Systems using finite-$T$ Density Functional
Theory: A review of studies on Strongly-Coupled Coulomb Systems since the
rise of DFT and SCCS-1977: The conferences on "Strongly Coupled Coulomb Systems" (SCCS) arose from the
"Strongly Coupled Plasmas" meetings, inaugurated in 1977. The progress... | cond-mat_stat-mech |
Simple analytical model of a thermal diode: Recently there is a lot of attention given to manipulation of heat by
constructing thermal devices such as thermal diodes, transistors and logic
gates. Many of the models proposed have an asymmetry which leads to the desired
effect. Presence of non-linear interactions among t... | cond-mat_stat-mech |
Nonequilibrium coupled Brownian phase oscillators: A model of globally coupled phase oscillators under equilibrium (driven by
Gaussian white noise) and nonequilibrium (driven by symmetric dichotomic
fluctuations) is studied. For the equilibrium system, the mean-field state
equation takes a simple form and the stability... | cond-mat_stat-mech |
Granular fluid thermostatted by a bath of elastic hard spheres: The homogeneous steady state of a fluid of inelastic hard spheres immersed in
a bath of elastic hard spheres kept at equilibrium is analyzed by means of the
first Sonine approximation to the (spatially homogeneous) Enskog--Boltzmann
equation. The temperatu... | cond-mat_stat-mech |
Floquet dynamical quantum phase transitions under synchronized periodic
driving: We study a generic class of fermionic two-band models under synchronized
periodic driving, i.e., with the different terms in a Hamiltonian subject to
periodic drives with the same frequency and phase. With all modes initially in
a maxima... | cond-mat_stat-mech |
Clusters in an epidemic model with long-range dispersal: In presence of long range dispersal, epidemics spread in spatially
disconnected regions known as clusters. Here, we characterize exactly their
statistical properties in a solvable model, in both the supercritical
(outbreak) and critical regimes. We identify two d... | cond-mat_stat-mech |
Interplay among helical order, surface effects and range of interacting
layers in ultrathin films: The properties of helical thin films have been thoroughly investigated by
classical Monte Carlo simulations. The employed model assumes classical planar
spins in a body-centered tetragonal lattice, where the helical arr... | cond-mat_stat-mech |
Extreme boundary conditions and random tilings: Standard statistical mechanical or condensed matter arguments tell us that
bulk properties of a physical system do not depend too much on boundary
conditions. Random tilings of large regions provide counterexamples to such
intuition, as illustrated by the famous 'arctic c... | cond-mat_stat-mech |
Universality of striped morphologies: We present a method for predicting the low-temperature behavior of spherical
and Ising spin models with isotropic potentials. For the spherical model the
characteristic length scales of the ground states are exactly determined but
the morphology is shown to be degenerate with check... | cond-mat_stat-mech |
Universal entanglement entropy in 2D conformal quantum critical points: We study the scaling behavior of the entanglement entropy of two dimensional
conformal quantum critical systems, i.e. systems with scale invariant wave
functions. They include two-dimensional generalized quantum dimer models on
bipartite lattices a... | cond-mat_stat-mech |
Collective oscillations in driven coagulation: We present a novel form of collective oscillatory behavior in the kinetics of
irreversible coagulation with a constant input of monomers and removal of large
clusters. For a broad class of collision rates, this system reaches a
non-equilibrium stationary state at large tim... | cond-mat_stat-mech |
Extrapolating the thermodynamic length with finite-time measurements: The excess work performed in a heat-engine process with given finite
operation time \tau is bounded by the thermodynamic length, which measures the
distance during the relaxation along a path in the space of the thermodynamic
state. Unfortunately, th... | cond-mat_stat-mech |
Monomer-Dimer Mixture on a Honeycomb Lattice: We study a monomer-dimer mixture defined on a honeycomb lattice as a toy
model for the spin ice system in a magnetic field. In a low-doping region of
monomers, the effective description of this system is given by the dual
sine-Gordon model. In intermediate- and strong-dopin... | cond-mat_stat-mech |
Will jams get worse when slow cars move over?: Motivated by an analogy with traffic, we simulate two species of particles
(`vehicles'), moving stochastically in opposite directions on a two-lane ring
road. Each species prefers one lane over the other, controlled by a parameter
$0 \leq b \leq 1$ such that $b=0$ correspo... | cond-mat_stat-mech |
Multicomponent fluid of hard spheres near a wall: The rational function approximation method, density functional theory, and
NVT Monte Carlo simulation are used to obtain the density profiles of
multicomponent hard-sphere mixtures near a planar hard wall. Binary mixtures
with a size ratio 1:3 in which both components o... | cond-mat_stat-mech |
Functional renormalization group approach to the dynamics of first-order
phase transitions: We apply the functional renormalization group theory to the dynamics of
first-order phase transitions and show that a potential with all odd-order
terms can describe spinodal decomposition phenomena. We derive a
momentum-depen... | cond-mat_stat-mech |
Survival of an evasive prey: We study the survival of a prey that is hunted by N predators. The predators
perform independent random walks on a square lattice with V sites and start a
direct chase whenever the prey appears within their sighting range. The prey is
caught when a predator jumps to the site occupied by the... | cond-mat_stat-mech |
Geometric magnetism in classical transport theory: The effective dynamics of a slow classical system coupled to a fast chaotic
environment is described by means of a Master equation. We show how this
approach permits a very simple derivation of geometric magnetism. | cond-mat_stat-mech |
Anomalous scaling and large-scale anisotropy in magnetohydrodynamic
turbulence: Two-loop renormalization-group analysis of the
Kazantsev--Kraichnan kinematic model: The field theoretic renormalization group and operator product expansion are
applied to the Kazantsev--Kraichnan kinematic model for the magnetohydrody... | cond-mat_stat-mech |
The non-Landauer Bound for the Dissipation of Bit Writing Operation: We propose a novel bound on the mimimum dissipation required in any
circumstances to transfer a certain amount of charge through any resistive
device. We illustrate it on the task of writing a logical 1 (encoded as a
prescribed voltage) into a capacit... | cond-mat_stat-mech |
Emergent universal statistics in nonequilibrium systems with dynamical
scale selection: Pattern-forming nonequilibrium systems are ubiquitous in nature, from driven
quantum matter and biological life forms to atmospheric and interstellar gases.
Identifying universal aspects of their far-from-equilibrium dynamics and
... | cond-mat_stat-mech |
Effects of lengthscales and attractions on the collapse of hydrophobic
polymers in water: We present results from extensive molecular dynamics simulations of collapse
transitions of hydrophobic polymers in explicit water focused on understanding
effects of lengthscale of the hydrophobic surface and of attractive
inte... | cond-mat_stat-mech |
Logarithmically slow onset of synchronization: Here we investigate specifically the transient of a synchronizing system,
considering synchronization as a relaxation phenomenon. The stepwise
establishment of synchronization is studied in the system of dynamically
coupled maps introduced by Ito & Kaneko (Phys. Rev. Lett.... | cond-mat_stat-mech |
Growth of surfaces generated by a probabilistic cellular automaton: A one-dimensional cellular automaton with a probabilistic evolution rule can
generate stochastic surface growth in $(1 + 1)$ dimensions. Two such discrete
models of surface growth are constructed from a probabilistic cellular
automaton which is known t... | cond-mat_stat-mech |
What is liquid? Lyapunov instability reveals symmetry-breaking
irreversibilities hidden within Hamilton's many-body equations of motion: Typical Hamiltonian liquids display exponential "Lyapunov instability", also
called "sensitive dependence on initial conditions". Although Hamilton's
equations are thoroughly time-r... | cond-mat_stat-mech |
Mechanisms of Carrier-Induced Ferromagnetism in Diluted Magnetic
Semiconductors: Two different approaches to the problem of carrier-induced ferromagnetism in
the system of the disordered magnetic ions, one bases on self-consistent
procedure for the exchange mean fields, other one bases on the RKKY
interaction, used i... | cond-mat_stat-mech |
Corner transfer matrix renormalization group method for two-dimensional
self-avoiding walks and other O(n) models: We present an extension of the corner transfer matrix renormalisation group
(CTMRG) method to O(n) invariant models, with particular interest in the
self-avoiding walk class of models (O(n=0)). The metho... | cond-mat_stat-mech |
Non-hyperuniform metastable states around a disordered hyperuniform
state of densely packed spheres: stochastic density functional theory at
strong coupling: Disordered and hyperuniform structures of densely packed spheres near and at
jamming are characterized by vanishing of long-wavelength density fluctuations,
o... | 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 |
Entanglement transitions as a probe of quasiparticles and quantum
thermalization: We introduce a diagnostic for quantum thermalization based on mixed-state
entanglement. Specifically, given a pure state on a tripartite system $ABC$, we
study the scaling of entanglement negativity between $A$ and $B$. For
representati... | cond-mat_stat-mech |
Stochastic Turing Patterns for systems with one diffusing species: The problem of pattern formation in a generic two species reaction--diffusion
model is studied, under the hypothesis that only one species can diffuse. For
such a system, the classical Turing instability cannot take place. At variance,
by working in the... | cond-mat_stat-mech |
Obtaining pressure versus concentration phase diagrams in spin systems
from Monte Carlo simulations: We propose an efficient procedure for determining phase diagrams of systems
that are described by spin models. It consists of combining cluster algorithms
with the method proposed by Sauerwein and de Oliveira where th... | cond-mat_stat-mech |
Decoupling of self-diffusion and structural relaxation during a
fragile-to-strong crossover in a kinetically constrained lattice gas: We present an interpolated kinetically constrained lattice gas model which
exhibits a transition from fragile to strong supercooled liquid behavior. We
find non-monotonic decoupling th... | cond-mat_stat-mech |
Universality Class of Discrete Solid-on-Solid Limited Mobility
Nonequilibrium Growth Models for Kinetic Surface Roughening: We investigate, using the noise reduction technique, the asymptotic
universality class of the well-studied nonequilibrium limited mobility
atomistic solid-on-solid surface growth models introduc... | cond-mat_stat-mech |
Hurst Exponents, Markov Processes, and Fractional Brownian motion: There is much confusion in the literature over Hurst exponents. Recently, we
took a step in the direction of eliminating some of the confusion. One purpose
of this paper is to illustrate the difference between fBm on the one hand and
Gaussian Markov pro... | cond-mat_stat-mech |
Decision Making in the Arrow of Time: We show that the steady-state entropy production rate of a stochastic process
is inversely proportional to the minimal time needed to decide on the direction
of the arrow of time. Here we apply Wald's sequential probability ratio test to
optimally decide on the direction of time's ... | cond-mat_stat-mech |
Stretch diffusion and heat conduction in 1D nonlinear lattices: In the study of 1D nonlinear Hamiltonian lattices, the conserved quantities
play an important role in determining the actual behavior of heat conduction.
Besides the total energy, total momentum and total stretch could also be
conserved quantities. In micr... | cond-mat_stat-mech |
Kinetic theory of discontinuous shear thickening for a dilute gas-solid
suspension: A kinetic theory for a dilute gas-solid suspension under a simple shear is
developed. With the aid of the corresponding Boltzmann equation, it is found
that the flow curve (stress-strain rate relation) has a S-shape as a crossover
fro... | cond-mat_stat-mech |
Low temperature thermodynamics of inverse square spin models in one
dimension: We present a field-theoretic renormalization group calculation in two loop
order for classical O(N)-models with an inverse square interaction in the
vicinity of their lower critical dimensionality one. The magnetic
susceptibility at low te... | cond-mat_stat-mech |
Geometric magnetism in open quantum systems: An isolated classical chaotic system, when driven by the slow change of
several parameters, responds with two reaction forces: geometric friction and
geometric magnetism. By using the theory of quantum fluctuation relations we
show that this holds true also for open quantum ... | cond-mat_stat-mech |
Critical curves in conformally invariant statistical systems: We consider critical curves -- conformally invariant curves that appear at
critical points of two-dimensional statistical mechanical systems. We show how
to describe these curves in terms of the Coulomb gas formalism of conformal
field theory (CFT). We also ... | cond-mat_stat-mech |
Phase Transitions and Scaling in Systems Far From Equilibrium: Scaling ideas and renormalization group approaches proved crucial for a deep
understanding and classification of critical phenomena in thermal equilibrium.
Over the past decades, these powerful conceptual and mathematical tools were
extended to continuous p... | cond-mat_stat-mech |
Metastability in Markov processes: We present a formalism to describe slowly decaying systems in the context of
finite Markov chains obeying detailed balance. We show that phase space can be
partitioned into approximately decoupled regions, in which one may introduce
restricted Markov chains which are close to the orig... | cond-mat_stat-mech |
Exact Large Deviations of the Current in the Asymmetric Simple Exclusion
Process with Open Boundaries: In this thesis, we consider one of the most popular models of non-equilibrium
statistical physics: the Asymmetric Simple Exclusion Process, in which
particles jump stochastically on a one-dimensional lattice, betwee... | cond-mat_stat-mech |
Critical Casimir Forces for Films with Bulk Ordering Fields: The confinement of long-ranged critical fluctuations in the vicinity of
second-order phase transitions in fluids generates critical Casimir forces
acting on confining surfaces or among particles immersed in a critical solvent.
This is realized in binary liqui... | cond-mat_stat-mech |
Point processes in arbitrary dimension from fermionic gases, random
matrix theory, and number theory: It is well known that one can map certain properties of random matrices,
fermionic gases, and zeros of the Riemann zeta function to a unique point
process on the real line. Here we analytically provide exact generali... | cond-mat_stat-mech |
Generalized thermodynamic uncertainty relations: We analyze ensemble in which energy (E), temperature (T) and multiplicity (N)
can all fluctuate and with the help of nonextensive statistics we propose a
relation connecting all fluctuating variables. It generalizes Lindhard's
thermodynamic uncertainty relations known in... | cond-mat_stat-mech |
Critical Phenomena and Renormalization-Group Theory: We review results concerning the critical behavior of spin systems at
equilibrium. We consider the Ising and the general O($N$)-symmetric
universality classes, including the $N\to 0$ limit that describes the critical
behavior of self-avoiding walks. For each of them,... | cond-mat_stat-mech |
Harnessing symmetry to control quantum transport: Controlling transport in quantum systems holds the key to many promising
quantum technologies. Here we review the power of symmetry as a resource to
manipulate quantum transport, and apply these ideas to engineer novel quantum
devices. Using tools from open quantum syst... | cond-mat_stat-mech |
Two dimensional XXZ-Ising model on square-hexagon lattice: We study a two dimensional XXZ-Ising on square-hexagon (4-6) lattice with
spin-1/2. The phase diagram of the ground state energy is discussed, shown two
different ferrimagnetic states and two type of antiferromagnetic states, beside
of a ferromagnetic state. To... | cond-mat_stat-mech |
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