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The Feynman effective classical potential in the Schrödinger
formulation: New physical insight into the correspondence between path integral concepts
and the Schr\"odinger formulation is gained by the analysis of the effective
classical potential, that is defined within the Feynman path integral
formulation of statis... | cond-mat_stat-mech |
Quantum phase transitions of the extended isotropic XY model with
long-range interactions: The one-dimensional extended isotropic XY model (s=1/2) in a transverse field
with uniform long-range interactions among the \textit{z} components of the
spin is considered. The model is exactly solved by introducing the gaussi... | cond-mat_stat-mech |
Many-particle dephasing after a quench: After a quench in a quantum many-body system, expectation values tend to
relax towards long-time averages. However, in any finite-size system, temporal
fluctuations remain. It is crucial to study the suppression of these
fluctuations with system size. The particularly important c... | cond-mat_stat-mech |
Essentially Ergodic Behaviour: I prove a theorem on the precise connection of the time and phase space
average of the Boltzmann equilibrium showing that the behaviour of a dynamical
system with a stationary measure and a dominant equilibrium state is
qualitatively ergodic. | cond-mat_stat-mech |
Accuracy of energy measurement and reversible operation of a
microcanonical Szilard engine: In a recent paper [Vaikuntanathan and Jarzynski, Phys. Rev. E {\bf 83},
061120 (2011), arXiv:1105.1744] a model was introduced whereby work could be
extracted from a thermal bath by measuring the energy of a particle that was
... | cond-mat_stat-mech |
Non mean-field behaviour of critical wetting transition for short-range
forces: Critical wetting transition for short-range forces in three dimensions
($d=3$) is reinvestigated by means of Monte Carlo simulation. Using anisotropic
finite size scaling approach, as well as approaches that do not rely on finite
size sca... | cond-mat_stat-mech |
Dynamic Mean-Field Glass Model with Reversible Mode Coupling and Trivial
Hamiltonian: Often the current mode coupling theory (MCT) of glass transitions is compared
with mean field theories. We explore this possible correspondence. After
showing a simple-minded derivation of MCT with some difficulties we give a
concis... | cond-mat_stat-mech |
Separation of spin and charge in the continuum Schrödinger equation: I describe here the attempt to introduce spin-charge separation in
Schrodinger equation. The construction we present here gives a decomposed
Schrodinger spinor that has one problem: Its absolute value can only have value
between 0 and ${1}{2}$. The pr... | cond-mat_stat-mech |
Scaling laws for diffusion on (trans)fractal scale-free networks: Fractal (or transfractal) features are common in real-life networks and are
known to influence the dynamic processes taking place in the network itself.
Here we consider a class of scale-free deterministic networks, called
$(u,v)$-flowers, whose topologi... | cond-mat_stat-mech |
Thermodynamic relations at the coupling boundary in adaptive resolution
simulations for open systems: The adaptive resolution simulation (AdResS) technique couples regions with
different molecular resolutions and allows the exchange of molecules between
different regions in an adaptive fashion. The latest development... | cond-mat_stat-mech |
Optimal inference strategies and their implications for the linear noise
approximation: We study the information loss of a class of inference strategies that is
solely based on time averaging. For an array of independent binary sensors
(e.g., receptors, single electron transistors) measuring a weak random signal
(e.g... | cond-mat_stat-mech |
Special flow model for passive particle transport considering internal
noise: We have generalized the semi-analytic approach of special flow to the
description of flows of passive particles taking into account internal noise.
The model is represented by a series of recurrence relations. The recurrence
relations are c... | cond-mat_stat-mech |
Finite-size scaling as a way to probe near-criticality in natural swarms: Collective behaviour in biological systems is often accompanied by strong
correlations. The question has therefore arisen of whether correlation is
amplified by the vicinity to some critical point in the parameters space.
Biological systems, thou... | cond-mat_stat-mech |
A Numerical Study on the Evolution of Portfolio Rules: Is CAPM Fit for
Nasdaq?: In this paper we test computationally the performance of CAPM in an
evolutionary setting. In particular we study the stability of wealth
distribution in a financial market where some traders invest as prescribed by
CAPM and others behave ... | cond-mat_stat-mech |
Anomalous cooling and heating - the Mpemba effect and its inverse: Under certain conditions, it takes a shorter time to cool a hot system than
to cool the same system initiated at a lower temperature. This phenomenon - the
"Mpemba Effect" - is well known in water, and has recently been observed in
other systems as well... | cond-mat_stat-mech |
On the microscopic foundation of thermodynamics and kinetics. Current
status and prospects: A comparative analysis of two concepts aimed at microscopic substantiation of
thermodynamics and kinetics has been performed. The first concept is based on
the idea of microscopic reversibility of the dynamics of a system of p... | cond-mat_stat-mech |
Spectral properties of three-dimensional Anderson model: The three-dimensional Anderson model represents a paradigmatic model to
understand the Anderson localization transition. In this work we first review
some key results obtained for this model in the past 50 years, and then study
its properties from the perspective... | cond-mat_stat-mech |
Dichotomous acceleration process in one dimension: Position fluctuations: We study the motion of a one-dimensional particle which reverses its
direction of acceleration stochastically. We focus on two contrasting
scenarios, where the waiting-times between two consecutive acceleration
reversals are drawn from (i) an exp... | cond-mat_stat-mech |
Latent Heat Calculation of the 3D q=3, 4, and 5 Potts models by Tensor
Product Variational Approach: Three-dimensional (3D) $q$-state Potts models ($q$=3, 4, and 5) are studied
by the tensor product variational approach (TPVA), which is a recently
developed variational method for 3D classical lattice models. The vari... | cond-mat_stat-mech |
Exact analytic multi-quanta states of the Davydov Dimer: The Davydov model describes amide I energy transfer in proteins without
dispersion or dissipation. In spite of five decades of study, there are few
exact analytical results, especially for the discrete version of this model.
Here we develop two methods to determi... | cond-mat_stat-mech |
Dynamics of Fluctuating Bose-Einstein Condensates: We present a generalized Gross-Pitaevskii equation that describes also the
dissipative dynamics of a trapped partially Bose condensed gas. It takes the
form of a complex nonlinear Schr\"odinger equation with noise. We consider an
approximation to this Langevin field eq... | cond-mat_stat-mech |
Voter Model with Time dependent Flip-rates: We introduce time variation in the flip-rates of the Voter Model. This type
of generalisation is relevant to models of ageing in language change, allowing
the representation of changes in speakers' learning rates over their lifetime
and may be applied to any other similar mod... | cond-mat_stat-mech |
Rayleigh-Benard convection in a hard disk system: We do a generic study of the behavior of a hard disk system under the action
of a thermal gradient in presence of an uniform gravity field. We observe the
conduction-convection transition and measure the main system observables and
fields as the thermal current, global ... | cond-mat_stat-mech |
On Dynamics and Optimal Number of Replicas in Parallel Tempering
Simulations: We study the dynamics of parallel tempering simulations, also known as the
replica exchange technique, which has become the method of choice for
simulation of proteins and other complex systems. Recent results for the
optimal choice of the ... | cond-mat_stat-mech |
Note on Phase Space Contraction and Entropy Production in Thermostatted
Hamiltonian Systems: The phase space contraction and the entropy production rates of Hamiltonian
systems in an external field, thermostatted to obtain a stationary state are
considered. While for stationary states with a constant kinetic energy t... | cond-mat_stat-mech |
Engineering statistical transmutation of identical quantum particles: A fundamental pillar of quantum mechanics concerns indistinguishable quantum
particles. In three dimensions they may be classified into fermions or bosons,
having, respectively, antisymmetric or symmetric wave functions under particle
exchange. One o... | cond-mat_stat-mech |
A mechanism to synchronize fluctuations in scale free networks using
growth models: In this paper we study the steady state of the fluctuations of the surface
for a model of surface growth with relaxation to any of its lower nearest
neighbors (SRAM) [F. Family, J. Phys. A {\bf 19}, L441 (1986)] in scale free
networks... | cond-mat_stat-mech |
Sub-Gaussian and subexponential fluctuation-response inequalities: Sub-Gaussian and subexponential distributions are introduced and applied to
study the fluctuation-response relation out of equilibrium. A bound on the
difference in expected values of an arbitrary sub-Gaussian or subexponential
physical quantity is esta... | cond-mat_stat-mech |
Noise-intensity fluctuation in Langevin model and its higher-order
Fokker-Planck equation: In this paper, we investigate a Langevin model subjected to stochastic
intensity noise (SIN), which incorporates temporal fluctuations in
noise-intensity. We derive a higher-order Fokker-Planck equation (HFPE) of the
system, ta... | cond-mat_stat-mech |
Phase diagram of the restricted solid-on-solid model coupled to the
Ising model: We study the phase transitions of a restricted solid-on-solid model coupled
to an Ising model, which can be derived from the coupled XY-Ising model. There
are two kinds of phase transition lines. One is a Ising transition line and the
ot... | cond-mat_stat-mech |
Universal entanglement and correlation measure in two-dimensional
conformal field theories: We calculate the amount of entanglement shared by two intervals in the ground
state of a (1+1)-dimensional conformal field theory (CFT), quantified by an
entanglement measure $\mathcal{E}$ based on the computable cross norm (C... | cond-mat_stat-mech |
Scaling in a Nonconservative Earthquake Model of Self-Organised
Criticality: We numerically investigate the Olami-Feder-Christensen model for earthquakes
in order to characterise its scaling behaviour. We show that ordinary finite
size scaling in the model is violated due to global, system wide events.
Nevertheless w... | cond-mat_stat-mech |
Non-Newtonian Poiseuille flow of a gas in a pipe: The Bhatnagar-Gross-Krook kinetic model of the Boltzmann equation is solved
for the steady cylindrical Poiseuille flow fed by a constant gravity field. The
solution is obtained as a perturbation expansion in powers of the field
(through fourth order) and for a general c... | cond-mat_stat-mech |
Relevant spontaneous magnetization relations for the triangular and the
cubic lattice Ising model: The spontaneous magnetization relations for the 2D triangular and the 3D
cubic lattices of the Ising model are derived by a new tractable easily
calculable mathematical method. The result obtained for the triangular lat... | cond-mat_stat-mech |
Percolation on correlated networks: We reconsider the problem of percolation on an equilibrium random network
with degree-degree correlations between nearest-neighboring vertices focusing
on critical singularities at a percolation threshold. We obtain criteria for
degree-degree correlations to be irrelevant for critica... | cond-mat_stat-mech |
Exact solution of the geometrically frustrated spin-1/2 Ising-Heisenberg
model on the triangulated Kagome (triangles-in-triangles) lattice: The geometric frustration of the spin-1/2 Ising-Heisenberg model on the
triangulated Kagome (triangles-in-triangles) lattice is investigated within the
framework of an exact anal... | cond-mat_stat-mech |
How to Quantify and Avoid Finite Size Effects in Computational Studies
of Crystal Nucleation: The Case of Heterogeneous Ice Nucleation: Computational studies of crystal nucleation can be impacted by finite size
effects, primarily due to unphysical interactions between crystalline nuclei
and their periodic images. It ... | cond-mat_stat-mech |
Equilibrium statistics of an inelastically bouncing ball, subject to
gravity and a random force: We consider a particle moving on the half line $x>0$ and subject to a
constant force in the $-x$ direction plus a delta-correlated random force. At
$x=0$ the particle is reflected inelastically. The velocities just after ... | cond-mat_stat-mech |
Screening of classical Casimir forces by electrolytes in semi-infinite
geometries: We study the electrostatic Casimir effect and related phenomena in
equilibrium statistical mechanics of classical (non-quantum) charged fluids.
The prototype model consists of two identical dielectric slabs in empty space
(the pure Cas... | cond-mat_stat-mech |
Q-factor: A measure of competition between the topper and the average in
percolation and in SOC: We define the $Q$-factor in the percolation problem as the quotient of the
size of the largest cluster and the average size of all clusters. As the
occupation probability $p$ is increased, the $Q$-factor for the system si... | cond-mat_stat-mech |
Comment on ``Renormalization-group picture of the Lifshitz critical
behavior'': We show that the recent renormalization-group analysis of Lifshitz critical
behavior presented by Leite [Phys. Rev. B {\bf 67}, 104415 (2003)] suffers from
a number of severe deficiencies. In particular, we show that his approach does
not... | cond-mat_stat-mech |
Understanding and Controlling Regime Switching in Molecular Diffusion: Diffusion can be strongly affected by ballistic flights (long jumps) as well
as long-lived sticking trajectories (long sticks). Using statistical inference
techniques in the spirit of Granger causality, we investigate the appearance of
long jumps an... | cond-mat_stat-mech |
Diffusion in a logarithmic potential: scaling and selection in the
approach to equilibrium: The equation which describes a particle diffusing in a logarithmic potential
arises in diverse physical problems such as momentum diffusion of atoms in
optical traps, condensation processes, and denaturation of DNA molecules. ... | cond-mat_stat-mech |
Analytical theory of mesoscopic Bose-Einstein condensation in ideal gas: We find universal structure and scaling of BEC statistics and thermodynamics
for mesoscopic canonical-ensemble ideal gas in a trap for any parameters,
including critical region. We identify universal constraint-cut-off mechanism
that makes BEC flu... | cond-mat_stat-mech |
The Coulomb-Higgs phase transition of three-dimensional lattice
Abelian-Higgs gauge models with noncompact gauge variables and gauge fixing: We study the critical behavior of three-dimensional (3D) lattice
Abelian-Higgs (AH) gauge models with noncompact gauge variables and
multicomponent complex scalar fields, along ... | cond-mat_stat-mech |
Asymptotic front behavior in an $A+B\rightarrow 2A$ reaction under
subdiffusion: We discuss the front propagation in the $A+B\rightarrow 2A$ reaction under
subdiffusion which is described by continuous time random walks with a
heavy-tailed power law waiting time probability density function. Using a
crossover argumen... | cond-mat_stat-mech |
Consistent Lattice Boltzmann Method: The problem of energy conservation in the lattice Boltzmann method is solved.
A novel model with energy conservation is derived from Boltzmann's kinetic
theory. It is demonstrated that the full thermo-hydrodynamics pertinent to the
Boltzmann equation is recovered in the domain where... | cond-mat_stat-mech |
Kondo signature in heat transfer via a local two-state system: We study the Kondo effect in heat transport via a local two-state system.
This system is described by the spin-boson Hamiltonian with Ohmic dissipation,
which can be mapped onto the Kondo model with anisotropic exchange coupling. We
calculate thermal conduc... | cond-mat_stat-mech |
Microcanonical Thermostatistical Investigation of the Blackbody
Radiation: In this work is presented the microcanonical analysis of the blackbody
radiation. In our model the electromagnetic radiation is confined in an
isolated container with volume V in which the radiation can not escape,
conserving this way its tota... | cond-mat_stat-mech |
Informational and Causal Architecture of Continuous-time Renewal and
Hidden Semi-Markov Processes: We introduce the minimal maximally predictive models ({\epsilon}-machines) of
processes generated by certain hidden semi-Markov models. Their causal states
are either hybrid discrete-continuous or continuous random vari... | cond-mat_stat-mech |
Negative Specific Heat in a Quasi-2D Generalized Vorticity Model: Negative specific heat is a dramatic phenomenon where processes decrease in
temperature when adding energy. It has been observed in gravo-thermal collapse
of globular clusters. We now report finding this phenomenon in bundles of
nearly parallel, periodic... | cond-mat_stat-mech |
Analytical approximation for reaction-diffusion processes in rough pores: The concept of an active zone in Laplacian transport is used to obtain an
analytical approximation for the reactive effectiveness of a pore with an
arbitrary rough geometry. We show that this approximation is in very good
agreement with direct nu... | cond-mat_stat-mech |
Out-of-equilibrium scaling behavior arising during round-trip protocols
across a quantum first-order transition: We investigate the nonequilibrium dynamics of quantum spin chains during a
round-trip protocol that slowly drives the system across a quantum first-order
transition. Out-of-equilibrium scaling behaviors \`... | cond-mat_stat-mech |
Exact Solution of a Vertex Model with Unlimited Number of States Per
Bond: The exact solution is obtained for the eigenvalues and eigenvectors of the
row-to-row transfer matrix of a two-dimensional vertex model with unlimited
number of states per bond. This model is a classical counterpart of a quantum
spin chain wit... | cond-mat_stat-mech |
On the velocity distributions of the one-dimensional inelastic gas: We consider the single-particle velocity distribution of a one-dimensional
fluid of inelastic particles. Both the freely evolving (cooling) system and the
non-equilibrium stationary state obtained in the presence of random forcing are
investigated, and... | cond-mat_stat-mech |
Characterization of relaxation processes in interacting vortex matter
through a time-dependent correlation length: Vortex lines in type-II superconductors display complicated relaxation
processes due to the intricate competition between their mutual repulsive
interactions and pinning to attractive point or extended d... | cond-mat_stat-mech |
High-precision Estimate of the Critical Exponents for the Directed Ising
Universality Class: With extensive Monte Carlo simulations, we present high-precision estimates
of the critical exponents of branching annihilating random walks with two
offspring, a prototypical model of the directed Ising universality class in... | cond-mat_stat-mech |
Kinetics of Vapor-Solid Phase Transitions: Structure, growth and
mechanism: Kinetics of separation between the low and high density phases in a single
component Lennard-Jones model has been studied via molecular dynamics
simulations, at a very low temperature, in the space dimension $d=2$. For
densities close to the ... | cond-mat_stat-mech |
Time evolution of entanglement entropy after quenches in two-dimensional
free fermion systems: a dimensional reduction treatment: We study the time evolution of the R\'enyi entanglement entropies following a
quantum quench in a two-dimensional (2D) free-fermion system. By employing
dimensional reduction, we effective... | cond-mat_stat-mech |
Far-from-equilibrium growth of thin films in a temperature gradient: The irreversible growth of thin films under far-from-equilibrium conditions
is studied in $(2+1)-$dimensional strip geometries. Across one of the
transverse directions, a temperature gradient is applied by thermal baths at
fixed temperatures between $... | 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 |
Scaling, Multiscaling, and Nontrivial Exponents in Inelastic Collision
Processes: We investigate velocity statistics of homogeneous inelastic gases using the
Boltzmann equation. Employing an approximate uniform collision rate, we obtain
analytic results valid in arbitrary dimension. In the freely evolving case, the
v... | cond-mat_stat-mech |
Large-n conditional facedness m_n of 3D Poisson-Voronoi cells: We consider the three-dimensional Poisson-Voronoi tessellation and study the
average facedness m_n of a cell known to neighbor an n-faced cell. Whereas
Aboav's law states that m_n=A+B/n, theoretical arguments indicate an asymptotic
expansion m_n = 8 + k_1 n... | cond-mat_stat-mech |
1/f Noise and Extreme Value Statistics: We study the finite-size scaling of the roughness of signals in systems
displaying Gaussian 1/f power spectra. It is found that one of the extreme
value distributions (Gumbel distribution) emerges as the scaling function when
the boundary conditions are periodic. We provide a rea... | cond-mat_stat-mech |
Magnetic properties of exactly solvable doubly decorated
Ising-Heisenberg planar models: Applying the decoration-iteration procedure, we introduce a class of exactly
solvable doubly decorated planar models consisting both of the Ising- and
Heisenberg-type atoms. Exact solutions for the ground state, phase diagrams an... | cond-mat_stat-mech |
Monte Carlo Study of the Axial Next-Nearest-Neighbor Ising Model: The equilibrium phase behavior of microphase-forming substances and models is
notoriously difficult to obtain because of the extended metastability of the
modulated phases. We develop a simulation method based on thermodynamic
integration that avoids thi... | cond-mat_stat-mech |
On the Truncation of Systems with Non-Summable Interactions: In this note we consider long range $q$-states Potts models on
$\mathbf{Z}^d$, $d\geq 2$. For various families of non-summable ferromagnetic
pair potentials $\phi(x)\geq 0$, we show that there exists, for all inverse
temperature $\beta>0$, an integer $N$ such... | cond-mat_stat-mech |
Emergence of oscillations in fixed energy sandpile models on complex
networks: Fixed-energy sandpile (FES) models, introduced to understand the
self-organized criticality, show a continuous phase transition between
absorbing and active phases. In this work, we study the dynamics of the
deterministic FES models on ran... | cond-mat_stat-mech |
Self-Organized Criticality in the Olami-Feder-Christensen model: A system is in a self-organized critical state if the distribution of some
measured events (avalanche sizes, for instance) obeys a power law for as many
decades as it is possible to calculate or measure. The finite-size scaling of
this distribution functi... | cond-mat_stat-mech |
Geometrical interpretation of fluctuating hydrodynamics in diffusive
systems: We discuss geometric formulations of hydrodynamic limits in diffusive
systems. Specifically, we describe a geometrical construction in the space of
density profiles --- the Wasserstein geometry --- which allows the
deterministic hydrodynami... | cond-mat_stat-mech |
Interface growth in two dimensions: A Loewner-equation approach: The problem of Laplacian growth in two dimensions is considered within the
Loewner-equation framework. Initially the problem of fingered growth recently
discussed by Gubiec and Szymczak [T. Gubiec and P. Szymczak, Phys. Rev. E 77,
041602 (2008)] is revisi... | cond-mat_stat-mech |
Slow relaxation, dynamic transitions and extreme value statistics in
disordered systems: We show that the dynamics of simple disordered models, like the directed Trap
Model and the Random Energy Model, takes place at a coexistence point between
active and inactive dynamical phases. We relate the presence of a dynamic... | cond-mat_stat-mech |
Conductance in diffusive quasi-one-dimensional periodic waveguides: a
semiclassical and random matrix study: We study quantum transport properties of finite periodic
quasi-one-dimensional waveguides whose classical dynamics is diffusive. The
system we consider is a scattering configuration, composed of a finite perio... | cond-mat_stat-mech |
Hidden Criticality of Counterion Condensation Near a Charged Cylinder: We study the condensation transition of counterions on a charged cylinder via
Monte Carlo simulations. Varying the cylinder radius systematically in relation
to the system size, we find that all counterions are bound to the cylinder and
the heat cap... | cond-mat_stat-mech |
Colossal Brownian yet non-Gaussian diffusion induced by nonequilibrium
noise: We report on novel Brownian, yet non-Gaussian diffusion, in which the mean
square displacement of the particle grows linearly with time, the probability
density for the particle spreading is Gaussian-like, however, the probability
density f... | cond-mat_stat-mech |
Improved upper and lower energy bounds for antiferromagnetic Heisenberg
spin systems: Large spin systems as given by magnetic macromolecules or two-dimensional
spin arrays rule out an exact diagonalization of the Hamiltonian. Nevertheless,
it is possible to derive upper and lower bounds of the minimal energies, i.e.
... | cond-mat_stat-mech |
Triangular arbitrage as an interaction among foreign exchange rates: We first show that there are in fact triangular arbitrage opportunities in
the spot foreign exchange markets, analyzing the time dependence of the
yen-dollar rate, the dollar-euro rate and the yen-euro rate. Next, we propose a
model of foreign exchang... | cond-mat_stat-mech |
Triangle Distribution and Equation of State for Classical Rigid Disks: The triangle distribution function f^(3) for three mutual nearest neighbors
in the plane describes basic aspects of short-range order and statistical
thermodynamics in two-dimensional many-particle systems. This paper examines
prospects for construc... | cond-mat_stat-mech |
Metal - non-metal transition and the second critical point in expanded
metals: Based on the non-relativistic Coulomb model within which the matter is a
system of interacting electrons and nuclei, using the quantum field theory and
linear response theory methods, opportunity for the existence of the second
critical po... | cond-mat_stat-mech |
A simple one-dimensional model of heat conduction which obeys Fourier's
law: We present the computer simulation results of a chain of hard point particles
with alternating masses interacting on its extremes with two thermal baths at
different temperatures. We found that the system obeys Fourier's law at the
thermodyn... | cond-mat_stat-mech |
Random graphs containing arbitrary distributions of subgraphs: Traditional random graph models of networks generate networks that are
locally tree-like, meaning that all local neighborhoods take the form of trees.
In this respect such models are highly unrealistic, most real networks having
strongly non-tree-like neigh... | cond-mat_stat-mech |
Crossing the bottleneck of rain formation: The demixing of a binary fluid mixture, under gravity, is a two stage
process. Initially droplets, or in general aggregates, grow diffusively by
collecting supersaturation from the bulk phase. Subsequently, when the droplets
have grown to a size, where their Peclet number is o... | cond-mat_stat-mech |
Two-bath model for activated surface diffusion of interacting adsorbates: The diffusion and low vibrational motions of adsorbates on surfaces can be
well described by a purely stochastic model, the so-called interacting single
adsorbate model, for low-moderate coverages (\theta \lesssim 0.12). Within this
model, the ef... | cond-mat_stat-mech |
Glassy dynamics: effective temperatures and intermittencies from a
two-state model: We show the existence of intermittent dynamics in one of the simplest model
of a glassy system: the two-state model, which has been used to explain the
origin of the violation of the fluctuation-dissipation theorem. The dynamics is
an... | cond-mat_stat-mech |
Minimal knotted polygons in cubic lattices: An implementation of BFACF-style algorithms on knotted polygons in the simple
cubic, face centered cubic and body centered cubic lattice is used to estimate
the statistics and writhe of minimal length knotted polygons in each of the
lattices. Data are collected and analysed o... | cond-mat_stat-mech |
Comment on `Monte Carlo simulation study of the two-stage percolation
transition in enhanced binary trees': The enhanced binary tree (EBT) is a nontransitive graph which has two
percolation thresholds $p_{c1}$ and $p_{c2}$ with $p_{c1}<p_{c2}$. Our Monte
Carlo study implies that the second threshold $p_{c2}$ is signi... | cond-mat_stat-mech |
Most probable path of an active Brownian particle: In this study, we investigate the transition path of a free active Brownian
particle (ABP) on a two-dimensional plane between two given states. The
extremum conditions for the most probable path connecting the two states are
derived using the Onsager--Machlup integral ... | cond-mat_stat-mech |
A Finite Temperature Treatment of Ultracold Atoms in a 1-D Optical
Lattice: We consider the effects of temperature upon the superfluid phase of
ultracold, weakly interacting bosons in a one dimensional optical lattice. We
use a finite temperature treatment of the Bose-Hubbard model based upon the
Hartree-Fock-Bogoliu... | cond-mat_stat-mech |
Zero-temperature glass transition in two dimensions: The nature of the glass transition is theoretically understood in the
mean-field limit of infinite spatial dimensions, but the problem remains
totally open in physical dimensions. Nontrivial finite-dimensional fluctuations
are hard to control analytically, and experi... | cond-mat_stat-mech |
The Visibility Graphs of Correlated Time Series Violate the Barthelemy's
Conjecture for Degree and Betweenness Centralities: The problem of betweenness centrality remains a fundamental unsolved problem
in complex networks. After a pioneering work by Barthelemy, it has been
well-accepted that the maximal betweenness-d... | cond-mat_stat-mech |
Symmetry enriched phases of quantum circuits: Quantum circuits consisting of random unitary gates and subject to local
measurements have been shown to undergo a phase transition, tuned by the rate
of measurement, from a state with volume-law entanglement to an area-law state.
From a broader perspective, these circuits ... | cond-mat_stat-mech |
Statistics of quantum transmission in one dimension with broad disorder: We study the statistics of quantum transmission through a one-dimensional
disordered system modelled by a sequence of independent scattering units. Each
unit is characterized by its length and by its action, which is proportional to
the logarithm ... | cond-mat_stat-mech |
Competition between relaxation and external driving in the dissipative
Landau-Zener problem: We study Landau-Zener transitions in a dissipative environment by means of
the quasiadiabatic propagator path-integral scheme. It allows to obtain
numerically exact results for the full range of the involved parameters. We
di... | cond-mat_stat-mech |
Probabilistic analysis of the phase space flow for linear programming: The phase space flow of a dynamical system leading to the solution of Linear
Programming (LP) problems is explored as an example of complexity analysis in
an analog computation framework. An ensemble of LP problems with $n$ variables
and $m$ constra... | cond-mat_stat-mech |
Farey Graphs as Models for Complex Networks: Farey sequences of irreducible fractions between 0 and 1 can be related to
graph constructions known as Farey graphs. These graphs were first introduced
by Matula and Kornerup in 1979 and further studied by Colbourn in 1982 and they
have many interesting properties: they are... | cond-mat_stat-mech |
Real-Time Wavelet-transform spectrum analyzer for the investigation of
1/f^αnoise: A wavelet transform spectrum analyzer operating in real time within the
frequency range 3X10^(-5) - 1.3X10^5 Hz has been implemented on a low-cost
Digital Signal Processing board operating at 150MHz. The wavelet decomposition
of the si... | cond-mat_stat-mech |
Onsager coefficients of a finite-time Carnot cycle: We study a finite-time Carnot cycle of a weakly interacting gas which we can
regard as a nearly ideal gas in the limit of $T_\mathrm{h}-T_\mathrm{c}\to 0$
where $T_\mathrm{h}$ and $T_\mathrm{c}$ are the temperatures of the hot and
cold heat reservoirs, respectively. I... | cond-mat_stat-mech |
Overdamped dynamics of particles with repulsive power-law interactions: We investigate the dynamics of overdamped $D$-dimensional systems of
particles repulsively interacting through short-ranged power-law potentials,
$V(r)\sim r^{-\lambda}\;(\lambda/D>1)$. We show that such systems obey a
non-linear diffusion equation... | cond-mat_stat-mech |
Superchemistry: dynamics of coupled atomic and molecular Bose-Einstein
condensates: We analyze the dynamics of a dilute, trapped Bose-condensed atomic gas
coupled to a diatomic molecular Bose gas by coherent Raman transitions. This
system is shown to result in a new type of `superchemistry', in which giant
collective... | cond-mat_stat-mech |
Resilience of the topological phases to frustration: Recently it was highlighted that one-dimensional antiferromagnetic spin
models with frustrated boundary conditions, i.e. periodic boundary conditions
in a ring with an odd number of elements, may show very peculiar behavior.
Indeed the presence of frustrated boundary... | cond-mat_stat-mech |
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