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Stochastic model of self-driven two-species objects in the context of
the pedestrian dynamics: In this work we propose a model to describe the statistical fluctuations of
the self-driven objects (species A) walking against an opposite crowd (species
B) in order to simulate the regime characterized by stop-and-go wave... | cond-mat_stat-mech |
Hidden slow degrees of freedom and fluctuation theorems: an analytically
solvable model: In some situations in stochastic thermodynamics not all relevant slow degrees
of freedom are accessible. Consequently, one adopts an effective description
involving only the visible degrees of freedom. This gives rise to an appar... | cond-mat_stat-mech |
Mapping a Homopolymer onto a Model Fluid: We describe a linear homopolymer using a Grand Canonical ensemble formalism,
a statistical representation that is very convenient for formal manipulations.
We investigate the properties of a system where only next neighbor interactions
and an external, confining, field are pres... | cond-mat_stat-mech |
From crystal to amorphopus: a novel route towards unjamming in soft disk
packings: It is presented a numerical study on the unjamming packing fraction of bi-
and polydisperse disk packings, which are generated through compression of a
monodisperse crystal. In bidisperse systems, a fraction f_+ = 40% up to 80% of
the ... | cond-mat_stat-mech |
On the universal Gaussian behavior of Driven Lattice Gases at
short-times: The dynamic and static critical behaviors of driven and equilibrium lattice
gas models are studied in two spatial dimensions. We show that in the
short-time regime immediately following a critical quench, the dynamics of the
transverse order p... | cond-mat_stat-mech |
Quasiperiodicity in the $α-$Fermi-Pasta-Ulam-Tsingou problem
revisited: an approach using ideas from wave turbulence: The Fermi-Pasta-Ulam-Tsingou (FPUT) problem addresses fundamental questions
in statistical physics, and attempts to understand the origin of recurrences in
the system have led to many great advances i... | cond-mat_stat-mech |
Peierls instability for the Holstein model: We consider the static Holstein model, describing a chain of Fermions
interacting with a classical phonon field, when the interaction is weak and the
density is a rational number. We show that the energy of the system, as a
function of the phonon field, has two stationary poi... | cond-mat_stat-mech |
Power-Law Time Distribution of Large Earthquakes: We study the statistical properties of time distribution of seimicity in
California by means of a new method of analysis, the Diffusion Entropy. We find
that the distribution of time intervals between a large earthquake (the main
shock of a given seismic sequence) and t... | cond-mat_stat-mech |
Understanding how both the partitions of a bipartite network affect its
one-mode projection: It is a well-known fact that the degree distribution (DD) of the nodes in a
partition of a bipartite network influences the DD of its one-mode projection
on that partition. However, there are no studies exploring the effect o... | cond-mat_stat-mech |
Understanding the Frequency Distribution of Mechanically Stable Disk
Packings: Relative frequencies of mechanically stable (MS) packings of frictionless
bidisperse disks are studied numerically in small systems. The packings are
created by successively compressing or decompressing a system of soft purely
repulsive di... | cond-mat_stat-mech |
Relaxation of nonequilibrium populations after a pump: the breaking of
Mathiessen$'$s rule: From the early days of many-body physics, it was realized that the
self-energy governs the relaxation or lifetime of the retarded Green$'$s
function. So it seems reasonable to directly extend those results into the
nonequilibr... | cond-mat_stat-mech |
First-passage and extreme-value statistics of a particle subject to a
constant force plus a random force: We consider a particle which moves on the x axis and is subject to a constant
force, such as gravity, plus a random force in the form of Gaussian white
noise. We analyze the statistics of first arrival at point $... | cond-mat_stat-mech |
Persistence discontinuity in disordered contact processes with
long-range interactions: We study the local persistence probability during non-stationary time
evolutions in disordered contact processes with long-range interactions by a
combination of the strong-disorder renormalization group (SDRG) method, a
phenomeno... | cond-mat_stat-mech |
Theoretical construction of 1D anyon models: One-dimensional anyon models are renewedly constructed by using path integral
formalism. A statistical interaction term is introduced to realize the anyonic
exchange statistics. The quantum mechanics formulation of statistical
transmutation is presented. | cond-mat_stat-mech |
Transient anomalous diffusion in heterogeneous media with stochastic
resetting: We investigate a diffusion process in heterogeneous media where particles
stochastically reset to their initial positions at a constant rate. The
heterogeneous media is modeled using a spatial-dependent diffusion coefficient
with a power-... | cond-mat_stat-mech |
Analytic model of thermalization: Quantum emulation of classical
cellular automata: We introduce a novel method of quantum emulation of a classical reversible
cellular automaton. By applying this method to a chaotic cellular automaton,
the obtained quantum many-body system thermalizes while all the energy
eigenstates... | 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 |
Microscopic theory of the glassy dynamics of passive and active network
materials: Signatures of glassy dynamics have been identified experimentally for a rich
variety of materials in which molecular networks provide rigidity. Here we
present a theoretical framework to study the glassy behavior of both passive
and ac... | cond-mat_stat-mech |
Hidden slow degrees of freedom and fluctuation theorems: an analytically
solvable model: In some situations in stochastic thermodynamics not all relevant slow degrees
of freedom are accessible. Consequently, one adopts an effective description
involving only the visible degrees of freedom. This gives rise to an appar... | cond-mat_stat-mech |
The second law and fluctuations of work: The case against quantum
fluctuation theorems: We study how Thomson's formulation of the second law: no work is extracted
from an equilibrium ensemble by a cyclic process, emerges in the quantum
situation through the averaging over fluctuations of work. The latter concept
is c... | cond-mat_stat-mech |
Nucleation of Market Shocks in Sornette-Ide model: The Sornette-Ide differential equation of herding and rational trader
behaviour together with very small random noise is shown to lead to crashes or
bubbles where the price change goes to infinity after an unpredictable time.
About 100 time steps before this singularit... | cond-mat_stat-mech |
Efficient stochastic thermostatting of path integral molecular dynamics: The path integral molecular dynamics (PIMD) method provides a convenient way
to compute the quantum mechanical structural and thermodynamic properties of
condensed phase systems at the expense of introducing an additional set of
high-frequency nor... | cond-mat_stat-mech |
3-Dimensional Multilayered 6-vertex Statistical Model: Exact Solution: Solvable via Bethe Ansatz (BA) anisotropic statistical model on cubic lattice
consisting of locally interacting 6-vertex planes, is studied. Symmetries of BA
lead to infinite hierarchy of possible phases, which is further restricted by
numerical sim... | cond-mat_stat-mech |
Equivalent-neighbor Potts models in two dimensions: We investigate the two-dimensional $q=3$ and 4 Potts models with a variable
interaction range by means of Monte Carlo simulations. We locate the phase
transitions for several interaction ranges as expressed by the number $z$ of
equivalent neighbors. For not too large ... | cond-mat_stat-mech |
Efficient Simulation of Low Temperature Physics in One-Dimensional
Gapless Systems: We discuss the computational efficiency of the finite temperature simulation
with the minimally entangled typical thermal states (METTS). To argue that
METTS can be efficiently represented as matrix product states, we present an
analy... | cond-mat_stat-mech |
Cutting-Plane Algorithms and Solution Whitening for the Vertex-Cover
Problem: The phase-transition behavior of the NP-hard vertex-cover (VC) combinatorial
optimization problem is studied numerically by linear programming (LP) on
ensembles of random graphs. As the basic Simplex (SX) algorithm suitable for
such LPs may... | cond-mat_stat-mech |
Random walks in unweighted and weighted modular scale-free networks with
a perfect trap: Designing optimal structure favorable to diffusion and effectively
controlling the trapping process are crucial in the study of trapping
problem---random walks with a single trap. In this paper, we study the trapping
problem occu... | cond-mat_stat-mech |
Exact results for a generalized spin-1/2 Ising-Heisenberg diamond chain
with the second-neighbor interaction between nodal spins: The ground state and thermodynamics of a generalized spin-1/2
Ising-Heisenberg diamond chain with the second-neighbor interaction between
nodal spins are calculated exactly using the mappi... | cond-mat_stat-mech |
Enhancement of stability of metastable states in the presence of
Lévy noise: The barrier crossing event for superdiffusion in the form of symmetric
L\'{e}vy flights is investigated. We derive from the fractional Fokker-Planck
equation a general differential equation with the corresponding conditions
useful to calcula... | cond-mat_stat-mech |
Resonant suppression of thermal stability of the nanoparticle
magnetization by a rotating magnetic field: We study the thermal stability of the periodic (P) and quasi-periodic (Q)
precessional modes of the nanoparticle magnetic moment induced by a rotating
magnetic field. An analytical method for determining the life... | cond-mat_stat-mech |
Anomalous Behavior of the Zero Field Susceptibility of the Ising Model
on the Cayley Tree: It is found that the zero field susceptibility chi of the Ising model on the
Cayley tree exhibits unusually weak divergence at the critical point Tc. The
susceptibility amplitude is found to diverge at Tc proportionally to the ... | cond-mat_stat-mech |
The Thermodynamic Casimir Effect in $^4$He Films near $T_λ$: Monte
Carlo Results: The universal finite-size scaling function of the critical Casimir force for
the three dimensional XY universality class with Dirichlet boundary conditions
is determined using Monte Carlo simulations. The results are in excellent
agreem... | cond-mat_stat-mech |
Driving, conservation and absorbing states in sandpiles: We use a phenomenological field theory, reflecting the symmetries and
conservation laws of sandpiles, to compare the driven dissipative sandpile,
widely studied in the context of self-organized criticality, with the
corresponding fixed-energy model. The latter di... | cond-mat_stat-mech |
Stable quasicrystalline ground states: We give a strong evidence that noncrystalline materials such as quasicrystals
or incommensurate solids are not exceptions but rather are generic in some
regions of a phase space. We show this by constructing classical lattice-gas
models with translation-invariant, finite-range int... | cond-mat_stat-mech |
Fixation in cyclically competing species on a directed graph with
quenched disorder: A simple model of cyclically competing species on a directed graph with
quenched disorder is proposed as an extension of the rock-paper-scissors model.
By assuming that the effects of loops in a directed random graph can be ignored
i... | cond-mat_stat-mech |
Thermodynamics of the mesoscopic thermoelectric heat engine beyond the
linear-response regime: Mesoscopic thermoelectric heat engine is much anticipated as a device that
allows us to utilize with high efficiency wasted heat inaccessible by
conventional heat engines. However, the derivation of the heat current in this... | cond-mat_stat-mech |
Diffusion-limited reactions in dynamic heterogeneous media: Most biochemical reactions in living cells rely on diffusive search for
target molecules or regions in a heterogeneous overcrowded cytoplasmic medium.
Rapid re-arrangements of the medium constantly change the effective diffusivity
felt locally by a diffusing p... | cond-mat_stat-mech |
Ferromagnetic ordering in graphs with arbitrary degree distribution: We present a detailed study of the phase diagram of the Ising model in random
graphs with arbitrary degree distribution. By using the replica method we
compute exactly the value of the critical temperature and the associated
critical exponents as a fu... | cond-mat_stat-mech |
Derivation and Improvements of the Quantum Canonical Ensemble from a
Regularized Microcanonical Ensemble: We develop a regularization of the quantum microcanonical ensemble, called a
Gaussian ensemble, which can be used for derivation of the canonical ensemble
from microcanonical principles. The derivation differs fr... | cond-mat_stat-mech |
Size effects on generation recombination noise: We carry out an analytical theory of generation-recombination noise for a two
level resistor model which goes beyond those presently available by including
the effects of both space charge fluctuations and diffusion current. Finite
size effects are found responsible for t... | cond-mat_stat-mech |
Canonical thermalization: For quantum systems that are weakly coupled to a much 'bigger' environment,
thermalization of possibly far from equilibrium initial ensembles is
demonstrated: for sufficiently large times, the ensemble is for all practical
purposes indistinguishable from a canonical density operator under cond... | cond-mat_stat-mech |
Fluctuation-dissipation relations far from equilibrium: The fluctuation-dissipation (F-D) theorem is a fundamental result for systems
near thermodynamic equilibrium, and justifies studies between microscopic and
macroscopic properties. It states that the nonequilibrium relaxation dynamics
is related to the spontaneous ... | cond-mat_stat-mech |
Fractional calculus and continuous-time finance II: the waiting-time
distribution: We complement the theory of tick-by-tick dynamics of financial markets based
on a Continuous-Time Random Walk (CTRW) model recently proposed by Scalas et
al., and we point out its consistency with the behaviour observed in the
waiting-... | cond-mat_stat-mech |
Hybrid quantum-classical method for simulating high-temperature dynamics
of nuclear spins in solids: First-principles calculations of high-temperature spin dynamics in solids in
the context of nuclear magnetic resonance (NMR) is a long-standing problem,
whose conclusive solution can significantly advance the applicat... | cond-mat_stat-mech |
An information theory-based approach for optimal model reduction of
biomolecules: In the theoretical modelling of a physical system a crucial step consists in
the identification of those degrees of freedom that enable a synthetic, yet
informative representation of it. While in some cases this selection can be
carried... | cond-mat_stat-mech |
Level Set Percolation in Two-Dimensional Gaussian Free Field: The nature of level set percolation in the two-dimension Gaussian Free Field
has been an elusive question. Using a loop-model mapping, we show that there is
a nontrivial percolation transition, and characterize the critical point. In
particular, the correlat... | cond-mat_stat-mech |
Kardar-Parisi-Zhang universality in two-component driven diffusive
models: Symmetry and renormalization group perspectives: We elucidate the universal spatio-temporal scaling properties of the
time-dependent correlation functions in a class of two-component
one-dimensional (1D) driven diffusive system that consists o... | cond-mat_stat-mech |
Statistical thermodynamics of a two dimensional relativistic gas: In this article we study a fully relativistic model of a two dimensional
hard-disk gas. This model avoids the general problems associated with
relativistic particle collisions and is therefore an ideal system to study
relativistic effects in statistical ... | cond-mat_stat-mech |
Condensate density and superfluid mass density of a dilute Bose gas near
the condensation transition: We derive, through analysis of the structure of diagrammatic perturbation
theory, the scaling behavior of the condensate and superfluid mass density of a
dilute Bose gas just below the condensation transition. Suffic... | cond-mat_stat-mech |
Work distribution in thermal processes: We find the moment generating function (mgf) of the nonequilibrium work for
open systems undergoing a thermal process, ie, when the stochastic dynamics
maps thermal states into time dependent thermal states. The mgf is given in
terms of a temperature-like scalar satisfying a firs... | cond-mat_stat-mech |
Machine-learning detection of the Berezinskii-Kosterlitz-Thouless
transition and the second-order phase transition in the XXZ models: We propose two machine-learning methods based on neural networks, which we
respectively call the phase-classification method and the
temperature-identification method, for detecting di... | cond-mat_stat-mech |
Scaling behavior of a square-lattice Ising model with competing
interactions in a uniform field: Transfer-matrix methods, with the help of finite-size scaling and conformal
invariance concepts, are used to investigate the critical behavior of
two-dimensional square-lattice Ising spin-1/2 systems with first- and
secon... | cond-mat_stat-mech |
General Relation between Entanglement and Fluctuations in One Dimension: In one dimension very general results from conformal field theory and exact
calculations for certain quantum spin systems have established universal
scaling properties of the entanglement entropy between two parts of a critical
system. Using both ... | cond-mat_stat-mech |
Transition probabilities and dynamic structure factor in the ASEP
conditioned on strong flux: We consider the asymmetric simple exclusion processes (ASEP) on a ring
constrained to produce an atypically large flux, or an extreme activity. Using
quantum free fermion techniques we find the time-dependent conditional
tra... | cond-mat_stat-mech |
Number Fluctuation and the Fundamental Theorem of Arithmetic: We consider N bosons occupying a discrete set of single-particle quantum
states in an isolated trap. Usually, for a given excitation energy, there are
many combinations of exciting different number of particles from the ground
state, resulting in a fluctuati... | cond-mat_stat-mech |
On dissipation in crackling noise systems: We consider the amount of energy dissipated during individual avalanches at
the depinning transition of disordered and athermal elastic systems. Analytical
progress is possible in the case of the Alessandro-Beatrice-Bertotti-Montorsi
(ABBM) model for Barkhausen noise, due to a... | cond-mat_stat-mech |
Ergodicity breaking in one-dimensional reaction-diffusion systems: We investigate one-dimensional driven diffusive systems where particles may
also be created and annihilated in the bulk with sufficiently small rate. In an
open geometry, i.e., coupled to particle reservoirs at the two ends, these
systems can exhibit er... | cond-mat_stat-mech |
Model simplification and loss of irreversibility: In this paper, we reveal a general relationship between model simplification
and irreversibility based on the model of continuous-time Markov chains with
time-scale separation. According to the topological structure of the fast
process, we divide the states of the chain... | cond-mat_stat-mech |
A Fluctuation-Response Relation as a Probe of Long-Range Correlations in
Non-Equilibrium Quantum and Classical Fluids: The absence of a simple fluctuation-dissipation theorem is a major obstacle
for studying systems that are not in thermodynamic equilibrium. We show that
for a fluid in a non-equilibrium steady state ... | cond-mat_stat-mech |
Physical realization and possible identification of topological
excitations in quantum Heisenberg ferromagnet on lattice: Physical configurations corresponding to topological excitations present in
the XY limit of a quantum spin 1/2 Heisenberg ferromagnet, are investigated on
a two dimensional square lattice. Quantum... | cond-mat_stat-mech |
Emergence of extended Newtonian gravity from thermodynamics: Discovery of a novel thermodynamic aspect of nonrelativistic gravity is
reported. Here, initially, an unspecified scalar field potential is considered
and treated not as an externally applied field but as a thermodynamic variable
on an equal footing with the ... | cond-mat_stat-mech |
Melting of Rare-Gas Crystals: Monte Carlo Simulation versus Experiments: We study the melting transition in crystals of rare gas Ar, Xe, and Kr by the
use of extensive Monte Carlo simulations with the Lennard-Jones potential. The
parameters of this potential have been deduced by Bernardes in 1958 from
experiments of ra... | cond-mat_stat-mech |
Thermodynamic Framework for Compact q-Gaussian Distributions: Recent works have associated systems of particles, characterized by
short-range repulsive interactions and evolving under overdamped motion, to a
nonlinear Fokker-Planck equation within the class of nonextensive statistical
mechanics, with a nonlinear diffus... | cond-mat_stat-mech |
Free energy calculations of a proton transfer reaction by simulated
tempering umbrella sampling first principles molecular dynamics simulations: A new simulated tempering method, which is referred to as simulated tempering
umbrella sampling, for calculating the free energy of chemical reactions is
proposed. First pri... | cond-mat_stat-mech |
Solution of the 2-star model of a network: The p-star model or exponential random graph is among the oldest and
best-known of network models. Here we give an analytic solution for the
particular case of the 2-star model, which is one of the most fundamental of
exponential random graphs. We derive expressions for a numb... | cond-mat_stat-mech |
Line Shape Broadening in Surface Diffusion of Interacting Adsorbates
with Quasielastic He Atom Scattering: The experimental line shape broadening observed in adsorbate diffusion on
metal surfaces with increasing coverage is usually related to the nature of the
adsorbate-adsorbate interaction. Here we show that this b... | cond-mat_stat-mech |
What do generalized entropies look like? An axiomatic approach for
complex, non-ergodic systems: Shannon and Khinchin showed that assuming four information theoretic axioms
the entropy must be of Boltzmann-Gibbs type, $S=-\sum_i p_i \log p_i$. Here we
note that in physical systems one of these axioms may be violated.... | cond-mat_stat-mech |
Ground-state fidelity and tensor network states for quantum spin tubes: An efficient algorithm is developed for quantum spin tubes in the context of
the tensor network representations. It allows to efficiently compute the
ground-state fidelity per lattice site, which in turn enables us to identify
quantum critical poin... | cond-mat_stat-mech |
Derivation of a statistical model for classical systems obeying
fractional exclusion principle: The violation of the Pauli principle has been surmised in several models of
the Fractional Exclusion Statistics and successfully applied to several quantum
systems. In this paper, a classical alternative of the exclusion s... | cond-mat_stat-mech |
Long-term Relaxation of a Composite System in Partial Contact with a
Heat Bath: We study relaxational behavior from a highly excited state for a composite
system in partial contact with a heat bath, motivated by an experimental report
of long-term energy storage in protein molecules. The system consists of two
couple... | cond-mat_stat-mech |
Stretched-Gaussian asymptotics of the truncated Lévy flights for the
diffusion in nonhomogeneous media: The L\'evy, jumping process, defined in terms of the jumping size
distribution and the waiting time distribution, is considered. The jumping rate
depends on the process value. The fractional diffusion equation, whi... | cond-mat_stat-mech |
Matrix Kesten Recursion, Inverse-Wishart Ensemble and Fermions in a
Morse Potential: The random variable $1+z_1+z_1z_2+\dots$ appears in many contexts and was
shown by Kesten to exhibit a heavy tail distribution. We consider natural
extensions of this variable and its associated recursion to $N \times N$
matrices eit... | cond-mat_stat-mech |
The three faces of entropy for complex systems -- information,
thermodynamics and the maxent principle: There are three ways to conceptualize entropy: entropy as an extensive
thermodynamic quantity of physical systems (Clausius, Boltzmann, Gibbs),
entropy as a measure for information production of ergodic sources (Sh... | cond-mat_stat-mech |
Note on the Kaplan-Yorke dimension and linear transport coefficients: A number of relations between the Kaplan-Yorke dimension, phase space
contraction, transport coefficients and the maximal Lyapunov exponents are
given for dissipative thermostatted systems, subject to a small external field
in a nonequilibrium statio... | cond-mat_stat-mech |
Defect Fluctuations and Lifetimes in Disordered Yukawa Systems: We examine the time dependent defect fluctuations and lifetimes for a
bidisperse disordered assembly of Yukawa particles. At high temperatures, the
noise spectrum of fluctuations is white and the coordination number lifetimes
have a stretched exponential d... | cond-mat_stat-mech |
Many-body Green's function theory of Heisenberg films: The treatment of Heisenberg films with many-body Green's function theory
(GFT) is reviewed. The basic equations of GFT are derived in sufficient detail
so that the rest of the paper can be understood without having to consult
further literature. The main part of th... | cond-mat_stat-mech |
Diatomic molecules in ultracold Fermi gases - Novel composite bosons: We give a brief overview of recent studies of weakly bound homonuclear
molecules in ultracold two-component Fermi gases. It is emphasized that they
represent novel composite bosons, which exhibit features of Fermi statistics at
short intermolecular d... | cond-mat_stat-mech |
Dynamical density-density correlations in the one-dimensional Bose gas: The zero-temperature dynamical structure factor of the one-dimensional Bose
gas with delta-function interaction (Lieb-Liniger model) is computed using a
hybrid theoretical/numerical method based on the exact Bethe Ansatz solution,
which allows to i... | cond-mat_stat-mech |
Scale Invariant Dynamics of Surface Growth: We describe in detail and extend a recently introduced nonperturbative
renormalization group (RG) method for surface growth. The scale invariant
dynamics which is the key ingredient of the calculation is obtained as the
fixed point of a RG transformation relating the represen... | cond-mat_stat-mech |
Comment on "Tsallis power laws and finite baths with negative heat
capacity" [Phys. Rev. E 88, 042126 (2013)]: In [Phys. Rev. E 88, 042126 (2013)] it is stated that Tsallis distributions
do not emerge from thermalization with a "bath" of finite, energy-independent,
heat capacity. We report evidence for the contrary. | cond-mat_stat-mech |
How many eigenvalues of a Gaussian random matrix are positive?: We study the probability distribution of the index ${\mathcal N}_+$, i.e.,
the number of positive eigenvalues of an $N\times N$ Gaussian random matrix. We
show analytically that, for large $N$ and large $\mathcal{N}_+$ with the
fraction $0\le c=\mathcal{N}... | cond-mat_stat-mech |
Random walks and Brownian motion: A method of computation for
first-passage times and related quantities in confined geometries: In this paper we present a computation of the mean first-passage times both
for a random walk in a discrete bounded lattice, between a starting site and a
target site, and for a Brownian mo... | cond-mat_stat-mech |
The expression of ensemble average internal energy in long-range
interaction complex system and its statistical physical properties: In this paper, we attempt to derive the expression of ensemble average
internal energy in long-range interaction complex system. Further, the Shannon
entropy hypothesis is used to deriv... | cond-mat_stat-mech |
Assessment of kinetic theories for moderately dense granular binary
mixtures: Shear viscosity coefficient: Two different kinetic theories [J. Solsvik and E. Manger (SM-theory), Phys.
Fluids \textbf{33}, 043321 (2021) and V. Garz\'o, J. W. Dufty, and C. M. Hrenya
(GDH-theory), Phys. Rev. E \textbf{76}, 031303 (2007)] ... | cond-mat_stat-mech |
Hierarchical Organization in Complex Networks: Many real networks in nature and society share two generic properties: they
are scale-free and they display a high degree of clustering. We show that these
two features are the consequence of a hierarchical organization, implying that
small groups of nodes organize in a hi... | cond-mat_stat-mech |
On the maximum entropy principle and the minimization of the Fisher
information in Tsallis statistics: We give a new proof of the theorems on the maximum entropy principle in
Tsallis statistics. That is, we show that the $q$-canonical distribution
attains the maximum value of the Tsallis entropy, subject to the const... | cond-mat_stat-mech |
Dynamical Properties of the Slithering Snake Algorithm: A numerical test
of the activated reptation hypothesis: The correlations in the motion of reptating polymers in their melt are
investigated by means of kinetic Monte Carlo simulations of the three
dimensional slithering snake version of the bond-fluctuation mode... | cond-mat_stat-mech |
Effect of Strong Magnetic Fields on the Equilibrium of a Degenerate Gas
of Nucleons and Electrons: We obtain the equations that define the equilibrium of a homogeneous
relativistic gas of neutrons, protons and electrons in a constant magnetic
field as applied to the conditions that probably occur near the center of
n... | cond-mat_stat-mech |
A recipe for an unpredictable random number generator: In this work we present a model for computation of random processes in
digital computers which solves the problem of periodic sequences and hidden
errors produced by correlations. We show that systems with non-invertible
non-linearities can produce unpredictable se... | cond-mat_stat-mech |
Entanglement, combinatorics and finite-size effects in spin-chains: We carry out a systematic study of the exact block entanglement in XXZ
spin-chain at Delta=-1/2. We present, the first analytic expressions for
reduced density matrices of n spins in a chain of length L (for n<=6 and
arbitrary but odd L) of a truly int... | cond-mat_stat-mech |
Homogeneous bubble nucleation in water at negative pressure: A Voronoi
polyhedra analysis: We investigate vapor bubble nucleation in metastable TIP4P/2005 water at
negative pressure via the Mean First Passage Time (MFPT) method using the
volume of the largest bubble as a local order parameter. We identify the
bubbles... | cond-mat_stat-mech |
Dynamic asset trees and Black Monday: The minimum spanning tree, based on the concept of ultrametricity, is
constructed from the correlation matrix of stock returns. The dynamics of this
asset tree can be characterised by its normalised length and the mean
occupation layer, as measured from an appropriately chosen cent... | cond-mat_stat-mech |
Disordered systems and Burgers' turbulence: Talk presented at the International Conference on Mathematical Physics
(Brisbane 1997). This is an introduction to recent work on the scaling and
intermittency in forced Burgers turbulence. The mapping between Burgers'
equation and the problem of a directed polymer in a rando... | cond-mat_stat-mech |
Dynamical transition in the TASEP with Langmuir kinetics: mean-field
theory: We develop a mean-field theory for the totally asymmetric simple exclusion
process (TASEP) with open boundaries, in order to investigate the so-called
dynamical transition. The latter phenomenon appears as a singularity in the
relaxation rat... | cond-mat_stat-mech |
Driven tracers in narrow channels: Steady state properties of a driven tracer moving in a narrow two dimensional
(2D) channel of quiescent medium are studied. The tracer drives the system out
of equilibrium, perturbs the density and pressure fields, and gives the bath
particles a nonzero average velocity, creating a cu... | cond-mat_stat-mech |
Predictive statistical mechanics and macroscopic time evolution. A model
for closed Hamiltonian systems: Predictive statistical mechanics is a form of inference from available data,
without additional assumptions, for predicting reproducible phenomena. By
applying it to systems with Hamiltonian dynamics, a problem of... | cond-mat_stat-mech |
Kibble-Zurek mechanism and infinitely slow annealing through critical
points: We revisit the Kibble-Zurek mechanism by analyzing the dynamics of phase
ordering systems during an infinitely slow annealing across a second order
phase transition. We elucidate the time and cooling rate dependence of the
typical growing l... | cond-mat_stat-mech |
Equilibrium Equality for Free Energy Difference: Jarzynski Equality (JE) and the thermodynamic integration method are
conventional methods to calculate free energy difference (FED) between two
equilibrium states with constant temperature of a system. However, a number of
ensemble samples should be generated to reach hi... | cond-mat_stat-mech |
Relaxation and coarsening of weakly-interacting breathers in a
simplified DNLS chain: The Discrete NonLinear Schr\"odinger (DNLS) equation displays a parameter
region characterized by the presence of localized excitations (breathers).
While their formation is well understood and it is expected that the asymptotic
con... | cond-mat_stat-mech |
Quantum Annealing - Foundations and Frontiers: We briefly review various computational methods for the solution of
optimization problems. First, several classical methods such as Metropolis
algorithm and simulated annealing are discussed. We continue with a description
of quantum methods, namely adiabatic quantum compu... | cond-mat_stat-mech |
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