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Aspects of Nosé and Nosé-Hoover Dynamics Elucidated: Some paradoxical aspects of the Nos\'e and Nos\'e-Hoover dynamics of 1984 and
Dettmann's dynamics of 1996 are elucidated. Phase-space descriptions of
thermostated harmonic oscillator dynamics can be simultaneously expanding,
incompressible, or contracting, as is desc... | cond-mat_stat-mech |
Optimized effective potential method with exact exchange and static RPA
correlation: We present a new density-functional method of the self-consistent
electronic-structure calculation which does not exploit any local density
approximations (LDA). We use the exchange-correlation energy which consists of
the exact exch... | cond-mat_stat-mech |
On the phase transition in the sublattice TASEP with stochastic blockage: We revisit the defect-induced nonequilibrium phase transition from a largely
homogeneous free-flow phase to a phase-separated congested phase in the
sublattice totally asymmetric simple exclusion process (TASEP) with local
deterministic bulk dyna... | cond-mat_stat-mech |
Coevolution of agents and networks: Opinion spreading and community
disconnection: We study a stochastic model for the coevolution of a process of opinion
formation in a population of agents and the network which underlies their
interaction. Interaction links can break when agents fail to reach an opinion
agreement. ... | cond-mat_stat-mech |
Exact stochastic Liouville and Schrödinger equations for open
systems: An universal form of kinetic equation for open systems is considered which
naturally unifies classical and quantum cases and allows to extend concept of
wave function to open quantum systems. Corresponding stochastic Schr\"{o}dinger
equation is de... | cond-mat_stat-mech |
Dynamical Heterogeneities Below the Glass Transition: We present molecular dynamics simulations of a binary Lennard-Jones mixture
at temperatures below the kinetic glass transition. The ``mobility'' of a
particle is characterized by the amplitude of its fluctuation around its
average position. The 5% particles with the... | cond-mat_stat-mech |
Direct evaluation of large-deviation functions: We introduce a numerical procedure to evaluate directly the probabilities of
large deviations of physical quantities, such as current or density, that are
local in time. The large-deviation functions are given in terms of the typical
properties of a modified dynamics, and... | cond-mat_stat-mech |
Quasi-phases and pseudo-transitions in one-dimensional models with
nearest neighbor interactions: There are some particular one-dimensional models, such as the
Ising-Heisenberg spin models with a variety of chain structures, which exhibit
unexpected behaviors quite similar to the first and second order phase
transiti... | cond-mat_stat-mech |
Random Networks Growing Under a Diameter Constraint: We study the growth of random networks under a constraint that the diameter,
defined as the average shortest path length between all nodes, remains
approximately constant. We show that if the graph maintains the form of its
degree distribution then that distribution ... | cond-mat_stat-mech |
Ising and anisotropic Heisenberg magnets with mobile defects: Motivated by experiments on (Sr,Ca,La)_14 Cu_24 O_41, a two-dimensional Ising
model with mobile defects and a two-dimensional anisotropic Heisenberg
antiferromagnet have been proposed and studied recently. We extend previous
investigations by analysing phase... | cond-mat_stat-mech |
Mapping out of equilibrium into equilibrium in one-dimensional transport
models: Systems with conserved currents driven by reservoirs at the boundaries offer
an opportunity for a general analytic study that is unparalleled in more
general out of equilibrium systems. The evolution of coarse-grained variables
is govern... | cond-mat_stat-mech |
An Entropic Approach To Classical Density Functional Theory: The classical Density Functional Theory (DFT) is introduced as an application
of entropic inference for inhomogeneous fluids at thermal equilibrium. It is
shown that entropic inference reproduces the variational principle of DFT when
information about expecte... | cond-mat_stat-mech |
Model study on steady heat capacity in driven stochastic systems: We explore two- and three-state Markov models driven out of thermal
equilibrium by non-potential forces to demonstrate basic properties of the
steady heat capacity based on the concept of quasistatic excess heat. It is
shown that large enough driving for... | cond-mat_stat-mech |
Dispersive diffusion controlled distance dependent recombination in
amorphous semiconductors: The photoluminescence in amorphous semiconductors decays according to power
law $t^{-delta}$ at long times. The photoluminescence is controlled by
dispersive transport of electrons. The latter is usually characterized by the... | cond-mat_stat-mech |
Advantages and challenges in coupling an ideal gas to atomistic models
in adaptive resolution simulations: In adaptive resolution simulations, molecular fluids are modeled employing
different levels of resolution in different subregions of the system. When
traveling from one region to the other, particles change thei... | cond-mat_stat-mech |
Fractional Path Integral Monte Carlo: Fractional derivatives are nonlocal differential operators of real order that
often appear in models of anomalous diffusion and a variety of nonlocal
phenomena. Recently, a version of the Schr\"odinger Equation containing a
fractional Laplacian has been proposed. In this work, we d... | cond-mat_stat-mech |
Active Brownian Particles Escaping a Channel in Single File: Active particles may happen to be confined in channels so narrow that they
cannot overtake each other (Single File conditions). This interesting situation
reveals nontrivial physical features as a consequence of the strong
inter-particle correlations develope... | cond-mat_stat-mech |
Spontaneous symmetry breaking in the finite, lattice quantum sine-Gordon
model: The spontaneous breaking of a global discrete translational symmetry in the
finite, lattice quantum sine-Gordon model is demonstrated by a density matrix
renormalization group. A phase diagram in the coupling constant - inverse
system siz... | cond-mat_stat-mech |
Heat Conduction, and the Lack Thereof, in Time-Reversible Dynamical
Systems: Generalized Nosé-Hoover Oscillators with a Temperature Gradient: We use nonequilibrium molecular dynamics to analyze and illustrate the
qualitative differences between the one-thermostat and two-thermostat versions
of equilibrium and nonequi... | cond-mat_stat-mech |
Bose-Einstein Condensation in Classical Systems: It is shown, that Bose-Einstein statistical distributions can occur not only
in quantum system, but in classical systems as well. The coherent dynamics of
the system, or equivalently autocatalytic dynamics in momentum space of the
system is the main reason for the Bose-E... | cond-mat_stat-mech |
A Master Equation for Power Laws: We propose a new mechanism for generating power laws. Starting from a random
walk, we first outline a simple derivation of the Fokker-Planck equation. By
analogy, starting from a certain Markov chain, we derive a master equation for
power laws that describes how the number of cascades ... | cond-mat_stat-mech |
Extended hydrodynamics from Enskog's equation: The bidimensional case: A heat conduction problem is studied using extended hydrodynamic equations
obtained from Enskog's equation for a simple case of two planar systems in
contact through a porous wall. One of the systems is in equilibrium and the
other one in a steady c... | cond-mat_stat-mech |
Anomalous diffusion of scaled Brownian tracers: A model for anomalous transport of tracer particles diffusing in complex
media in two dimensions is proposed. The model takes into account the
characteristics of persistent motion that active bath transfer to the tracer,
thus the model proposed in here extends active Brow... | cond-mat_stat-mech |
Dynamics of two qubits in a spin-bath of Quantum anisotropic Heisenberg
XY coupling type: The dynamics of two 1/2-spin qubits under the influence of a quantum
Heisenberg XY type spin-bath is studied. After the Holstein-Primakoff
transformation, a novel numerical polynomial scheme is used to give the
time-evolution ca... | cond-mat_stat-mech |
Dynamic critical properties of a one-dimensional probabilistic cellular
automaton: Dynamic properties of a one-dimensional probabilistic cellular automaton are
studied by monte-carlo simulation near a critical point which marks a
second-order phase transition from a active state to a effectively unique
absorbing stat... | cond-mat_stat-mech |
Non-monotonic dependence on disorder in biased diffusion on small-world
networks: We report numerical simulations of a strongly biased diffusion process on a
one-dimensional substrate with directed shortcuts between randomly chosen
sites, i.e. with a small-world-like structure. We find that, unlike many other
dynamic... | cond-mat_stat-mech |
Thermal Transport in a Noncommutative Hydrodynamics: We find the hydrodynamic equations of a system of particles constrained to be
in the lowest Landau level. We interpret the hydrodynamic theory as a
Hamiltonian system with the Poisson brackets between the hydrodynamic variables
determined from the noncommutativity of... | cond-mat_stat-mech |
Sojourn probabilities in tubes and pathwise irreversibility for Itô
processes: The sojourn probability of an It\^o diffusion process, i.e. its probability
to remain in the tubular neighborhood of a smooth path, is a central quantity
in the study of path probabilities. For $N$-dimensional It\^o processes with
state-de... | cond-mat_stat-mech |
Critical aging of a ferromagnetic system from a completely ordered state: We adapt the non-linear $\sigma$ model to study the nonequilibrium critical
dynamics of O(n) symmetric ferromagnetic system. Using the renormalization
group analysis in $d=2+\epsilon$ dimensions we investigate the pure relaxation
of the system st... | cond-mat_stat-mech |
Collective effects in spin-crossover chains with exchange interaction: The collective properties of spin-crossover chains are studied.
Spin-crossover compounds contain ions with a low-spin ground state and low
lying high-spin excited states and are of interest for molecular memory
applications. Some of them naturally f... | cond-mat_stat-mech |
Pattern description of the ground state properties of the
one-dimensional axial next-nearest-neighbor Ising model in a transverse field: The description and understanding of the consequences of competing
interactions in various systems, both classical and quantum, are notoriously
difficult due to insufficient informa... | cond-mat_stat-mech |
Large deviations for a stochastic model of heat flow: We investigate a one dimensional chain of $2N$ harmonic oscillators in which
neighboring sites have their energies redistributed randomly. The sites $-N$
and $N$ are in contact with thermal reservoirs at different temperature
$\tau_-$ and $\tau_+$. Kipnis, Marchioro... | cond-mat_stat-mech |
Density relaxation in conserved Manna sandpiles: We study relaxation of long-wavelength density perturbations in one
dimensional conserved Manna sandpile. Far from criticality where correlation
length $\xi$ is finite, relaxation of density profiles having wave numbers $k
\rightarrow 0$ is diffusive, with relaxation tim... | cond-mat_stat-mech |
Effects of the non-Markovianity and non-Gaussianity of active
environmental noises on engine performance: An active environment is a reservoir containing \emph{active} materials, such
as bacteria and Janus particles. Given the self-propelled motion of these
materials, powered by chemical energy, an active environment... | cond-mat_stat-mech |
Global topological control for synchronized dynamics on networks: A general scheme is proposed and tested to control the symmetry breaking
instability of a homogeneous solution of a spatially extended multispecies
model, defined on a network. The inherent discreteness of the space makes it
possible to act on the topolo... | cond-mat_stat-mech |
The noise intensity of a Markov chain: Stochastic transitions between discrete microscopic states play an important
role in many physical and biological systems. Often, these transitions lead to
fluctuations on a macroscopic scale. A classic example from neuroscience is the
stochastic opening and closing of ion channel... | cond-mat_stat-mech |
Phase diagram and critical exponents of a dissipative Ising spin chain
in a transverse magnetic field: We consider a one-dimensional Ising model in a transverse magnetic field
coupled to a dissipative heat bath. The phase diagram and the critical
exponents are determined from extensive Monte Carlo simulations. It is ... | cond-mat_stat-mech |
Palette-colouring: a belief-propagation approach: We consider a variation of the prototype combinatorial-optimisation problem
known as graph-colouring. Our optimisation goal is to colour the vertices of a
graph with a fixed number of colours, in a way to maximise the number of
different colours present in the set of ne... | cond-mat_stat-mech |
Giant spin current rectification due to the interplay of negative
differential conductance and a non-uniform magnetic field: In XXZ chains, spin transport can be significantly suppressed when the
interactions in the chain and the bias of the dissipative driving are large
enough. This phenomenon of negative differenti... | cond-mat_stat-mech |
Kramers-Wannier Duality of Statistical Mechanics Applied to the Boolean
Satisfiability Problem of Computer Science: We present a novel application of the Kramers-Wannier duality on one of the
most important problems of computer science, the Boolean satisfiability problem
(SAT). More specifically, we focus on sharp-SA... | cond-mat_stat-mech |
Virial statistical description of non-extensive hierarchical systems: In a first part the scope of classical thermodynamics and statistical
mechanics is discussed in the broader context of formal dynamical systems,
including computer programmes. In this context classical thermodynamics appears
as a particular theory su... | cond-mat_stat-mech |
Dynamics of structural models with a long-range interaction: glassy
versus non-glassy behavior: By making use of the Langevin dynamics and its generating functional (GF)
formulation the influence of the long-range nature of the interaction on the
tendency of the glass formation is systematically investigated. In doin... | cond-mat_stat-mech |
The influence of measurement error on Maxwell's demon: In any general cycle of measurement, feedback and erasure, the measurement
will reduce the entropy of the system when information about the state is
obtained, while erasure, according to Landauer's principle, is accompanied by a
corresponding increase in entropy du... | cond-mat_stat-mech |
A large deviation perspective on ratio observables in reset processes:
robustness of rate functions: We study large deviations of a ratio observable in discrete-time reset
processes. The ratio takes the form of a current divided by the number of reset
steps and as such it is not extensive in time. A large deviation r... | cond-mat_stat-mech |
Critical branching processes in digital memcomputing machines: Memcomputing is a novel computing paradigm that employs time non-locality
(memory) to solve combinatorial optimization problems. It can be realized in
practice by means of non-linear dynamical systems whose point attractors
represent the solutions of the or... | cond-mat_stat-mech |
Correlation function structure in square-gradient models of the
liquid-gas interface: Exact results and reliable approximations: In a recent article, we described how the microscopic structure of
density-density correlations in the fluid interfacial region, for systems with
short-ranged forces, can be understood by c... | cond-mat_stat-mech |
Euclidean operator growth and quantum chaos: We consider growth of local operators under Euclidean time evolution in
lattice systems with local interactions. We derive rigorous bounds on the
operator norm growth and then proceed to establish an analog of the
Lieb-Robinson bound for the spatial growth. In contrast to th... | cond-mat_stat-mech |
Exit versus escape in a stochastic dynamical system of neuronal networks
explains heterogenous bursting intervals: Neuronal networks can generate burst events. It remains unclear how to
analyse interburst periods and their statistics. We study here the phase-space
of a mean-field model, based on synaptic short-term c... | cond-mat_stat-mech |
Charged complexes at the surface of liquid helium: Charged clusters in liquid helium in an external electric field form a
two-dimensional system below the helium surface. This 2D system undergoes a
phase transition from a liquid to a Wigner crystal at rather high temperatures.
Contrary to the electron Wigner crystal, t... | cond-mat_stat-mech |
Does a Single Eigenstate of a Hamiltonian Encode the Critical Behaviour
of its Finite-Temperature Phase Transition?: Recent work on the subject of isolated quantum thermalization has suggested
that an individual energy eigenstate of a non-integrable quantum system may
encode a significant amount of information about ... | cond-mat_stat-mech |
Conditional maximum-entropy method for selecting prior distributions in
Bayesian statistics: The conditional maximum-entropy method (abbreviated here as C-MaxEnt) is
formulated for selecting prior probability distributions in Bayesian statistics
for parameter estimation. This method is inspired by a statistical-mecha... | cond-mat_stat-mech |
Energy partition for anharmonic, undamped, classical oscillators: Using stochastic methods, general formulas for average kinetic and potential
energies for anharmonic, undamped (frictionless), classical oscillators are
derived. It is demonstrated that for potentials of $|x|^\nu$ ($\nu>0$) type
energies are equipartitio... | cond-mat_stat-mech |
On the coexistence of dipolar frustration and criticality in
ferromagnets: In real magnets the tendency towards ferromagnetism, promoted by exchange
coupling, is usually frustrated by dipolar interaction. As a result, the
uniformly ordered phase is replaced by modulated (multi-domain) phases,
characterized by differe... | cond-mat_stat-mech |
Particle escapes in an open quantum network via multiple leads: Quantum escapes of a particle from an end of a one-dimensional finite region
to $N$ number of semi-infinite leads are discussed by a scattering theoretical
approach. Depending on a potential barrier amplitude at the junction, the
probability $P(t)$ for a p... | cond-mat_stat-mech |
Universal entanglement signatures of interface conformal field theories: An interface connecting two distinct conformal field theories hosts rich
critical behaviors. In this work, we investigate the entanglement properties of
such critical interface theories for probing the underlying universality. As
inspired by holog... | cond-mat_stat-mech |
Exit versus escape in a stochastic dynamical system of neuronal networks
explains heterogenous bursting intervals: Neuronal networks can generate burst events. It remains unclear how to
analyse interburst periods and their statistics. We study here the phase-space
of a mean-field model, based on synaptic short-term c... | cond-mat_stat-mech |
Weighted-ensemble Brownian dynamics simulation: Sampling of rare events
in non-equilibrium systems: We provide an algorithm based on weighted-ensemble (WE) methods, to
accurately sample systems at steady state. Applying our method to different
one- and two-dimensional models, we succeed to calculate steady state
prob... | cond-mat_stat-mech |
Boundary polarization in the six-vertex model: Vertical-arrow fluctuations near the boundaries in the six-vertex model on
the two-dimensional $N \times N$ square lattice with the domain wall boundary
conditions are considered. The one-point correlation function (`boundary
polarization') is expressed via the partition f... | cond-mat_stat-mech |
Random sequential adsorption of straight rigid rods on a simple cubic
lattice: Random sequential adsorption of straight rigid rods of length $k$ ($k$-mers)
on a simple cubic lattice has been studied by numerical simulations and
finite-size scaling analysis. The calculations were performed by using a new
theoretical s... | cond-mat_stat-mech |
Thermal Casimir interactions for higher derivative field Lagrangians:
generalized Brazovskii models: We examine the Casimir effect for free statistical field theories which have
Hamiltonians with second order derivative terms. Examples of such Hamiltonians
arise from models of non-local electrostatics, membranes with... | cond-mat_stat-mech |
Contact process on generalized Fibonacci chains: infinite-modulation
criticality and double-log periodic oscillations: We study the nonequilibrium phase transition of the contact process with
aperiodic transition rates using a real-space renormalization group as well as
Monte-Carlo simulations. The transition rates a... | cond-mat_stat-mech |
Universal scaling in active single-file dynamics: We study the single-file dynamics of three classes of active particles:
run-and-tumble particles, active Brownian particles and active
Ornstein-Uhlenbeck particles. At high activity values, the particles,
interacting via purely repulsive and short-ranged forces, aggrega... | cond-mat_stat-mech |
Full decoherence induced by local fields in open spin chains with strong
boundary couplings: We investigate an open $XYZ$ spin $1/2$ chain driven out of equilibrium by
boundary reservoirs targeting different spin orientations, aligned along the
principal axes of anisotropy. We show that by tuning local magnetic field... | cond-mat_stat-mech |
Extension of the Lieb-Schultz-Mattis theorem: Lieb, Schultz and Mattis (LSM) studied the S=1/2 XXZ spin chain. Theorems of
LSM's paper can be applied to broader models. In the original LSM theorem it
was assumed the nonfrustrating system. However, reconsidering the LSM theorem,
we can extend the LSM theorem for frustra... | cond-mat_stat-mech |
Staggered long-range order for diluted quantum spin models: We study an annealed site diluted quantum XY model with spin $S\in
\frac{1}{2}\mathbb{N}$. We find regions of the parameter space where, in spite
of being a priori favourable for a densely occupied state, phases with
staggered occupancy occur at low temperatur... | cond-mat_stat-mech |
Diffusion of two molecular species in a crowded environment: theory and
experiments: Diffusion of a two component fluid is studied in the framework of
differential equations, but where these equations are systematically derived
from a well-defined microscopic model. The model has a finite carrying capacity
imposed up... | cond-mat_stat-mech |
Drag forces in classical fields: Inclusions, or defects, moving at constant velocity through free classical
fields are shown to be subject to a drag force which depends on the field
dynamics and the coupling of the inclusion to the field. The results are used
to predict the drag exerted on inclusions, such as proteins,... | cond-mat_stat-mech |
Nonexistence of the non-Gaussian fixed point predicted by the RG field
theory in 4-epsilon dimensions: The Ginzburg-Landau phase transition model is considered in d=4-epsilon
dimensions within the renormalization group (RG) approach. The problem of
existence of the non-Gaussian fixed point is discussed. An equation i... | 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 |
Bogolyubov approximation for diagonal model of an interacting Bose gas: We study, using the Bogolyubov approximation, the thermodynamic behaviour of
a superstable Bose system whose energy operator in the second-quantized form
contains a nonlinear expression in the occupation numbers operators. We prove
that for all val... | cond-mat_stat-mech |
Phase Transitions in the Multicomponent Widom-Rowlinson Model and in
Hard Cubes on the BCC--Lattice: We use Monte Carlo techniques and analytical methods to study the phase
diagram of the M--component Widom-Rowlinson model on the bcc-lattice: there are
M species all with the same fugacity z and a nearest neighbor har... | cond-mat_stat-mech |
Mass distribution exponents for growing trees: We investigate the statistics of trees grown from some initial tree by
attaching links to preexisting vertices, with attachment probabilities
depending only on the valence of these vertices. We consider the asymptotic
mass distribution that measures the repartition of the ... | cond-mat_stat-mech |
Monte Carlo Chord Length Sampling for $d$-dimensional Markov binary
mixtures: The Chord Length Sampling (CLS) algorithm is a powerful Monte Carlo method
that models the effects of stochastic media on particle transport by generating
on-the-fly the material interfaces seen by the random walkers during their
trajectori... | cond-mat_stat-mech |
Single-ion anisotropy in Haldane chains and form factor of the O(3)
nonlinear sigma model: We consider spin-1 Haldane chains with single-ion anisotropy, which exists in
known Haldane chain materials. We develop a perturbation theory in terms of
anisotropy, where magnon-magnon interaction is important even in the low
... | cond-mat_stat-mech |
Singularities of the renormalization group flow for random elastic
manifolds: We consider the singularities of the zero temperature renormalization group
flow for random elastic manifolds. When starting from small scales, this flow
goes through two particular points $l^{*}$ and $l_{c}$, where the average value
of the... | cond-mat_stat-mech |
Deterministic particle flows for constraining stochastic nonlinear
systems: Devising optimal interventions for constraining stochastic systems is a
challenging endeavour that has to confront the interplay between randomness and
nonlinearity. Existing methods for identifying the necessary dynamical
adjustments resort ... | cond-mat_stat-mech |
Dimensional crossover in dipolar magnetic layers: We investigate the static critical behaviour of a uniaxial magnetic layer,
with finite thickness L in one direction, yet infinitely extended in the
remaining d dimensions. The magnetic dipole-dipole interaction is taken into
account. We apply a variant of Wilson's momen... | cond-mat_stat-mech |
On the apparent failure of the topological theory of phase transitions: The topological theory of phase transitions has its strong point in two
theorems proving that, for a wide class of physical systems, phase transitions
necessarily stem from topological changes of some submanifolds of configuration
space. It has bee... | cond-mat_stat-mech |
Tracer dispersion in two-dimensional rough fractures: Tracer diffusion and hydrodynamic dispersion in two-dimensional fractures
with self-affine roughness is studied by analytic and numerical methods.
Numerical simulations were performed via the lattice-Boltzmann approach, using
a new boundary condition for tracer part... | cond-mat_stat-mech |
On Conservation Laws, Relaxation and Pre-relaxation after a Quantum
Quench: We consider the time evolution following a quantum quench in spin-1/2 chains.
It is well known that local conservation laws constrain the dynamics and,
eventually, the stationary behavior of local observables. We show that some
widely studied... | cond-mat_stat-mech |
Metastable and Unstable Dynamics in multi-phase lattice Boltzmann: We quantitatively characterize the metastability in a multi-phase lattice
Boltzmann model. The structure factor of density fluctuations is theoretically
obtained and numerically verified to a high precision, for all simulated
wave-vectors and reduced te... | cond-mat_stat-mech |
Counting edge modes via dynamics of boundary spin impurities: We study dynamics of the one-dimensional Ising model in the presence of
static symmetry-breaking boundary field via the two-time autocorrelation
function of the boundary spin. We find that the correlations decay as a power
law. We uncover a dynamical phase d... | cond-mat_stat-mech |
Non-sinusoidal current and current reversals in a gating ratchet: In this work, the ratchet dynamics of Brownian particles driven by an
external sinusoidal (harmonic) force is investigated. The gating ratchet effect
is observed when another harmonic is used to modulate the spatially symmetric
potential in which the par... | cond-mat_stat-mech |
Avalanche dynamics in hierarchical fiber bundles: Heterogeneous materials are often organized in a hierarchical manner, where a
basic unit is repeated over multiple scales.The structure then acquires a
self-similar pattern. Examples of such structure are found in various
biological and synthetic materials. The hierarch... | cond-mat_stat-mech |
Diffusion in Curved Spacetimes: Using simple kinematical arguments, we derive the Fokker-Planck equation for
diffusion processes in curved spacetimes. In the case of Brownian motion, it
coincides with Eckart's relativistic heat equation (albeit in a simpler form),
and therefore provides a microscopic justification for ... | cond-mat_stat-mech |
Fluctuation Relations For Adiabatic Pumping: We derive an extended fluctuation relation for an open system coupled with
two reservoirs under adiabatic one-cycle modulation. We confirm that the
geometric phase caused by the Berry-Sintisyn-Nemenman curvature in the
parameter space generates non-Gaussian fluctuations. Thi... | cond-mat_stat-mech |
Extracting Work from a single heat bath using velocity dependent
feedback: Thermodynamics of nanoscale devices is an active area of research. Despite
their noisy surround- ing they often produce mechanical work (e.g. micro-heat
engines) or display rectified Brownian motion (e.g. molecular motors). This
invokes the re... | cond-mat_stat-mech |
Sensitivity to the initial conditions of the Time-Dependent Density
Functional Theory: Time-Dependent Density Functional Theory is mathematically formulated through
non-linear coupled time-dependent 3-dimensional partial differential equations
and it is natural to expect a strong sensitivity of its solutions to varia... | cond-mat_stat-mech |
On the entanglement entropy for a XY spin chain: The entanglement entropy for the ground state of a XY spin chain is related
to the corner transfer matrices of the triangular Ising model and expressed in
closed form. | cond-mat_stat-mech |
Connection Between Minimum of Solubility and Temperature of Maximum
Density in an Associating Lattice Gas Model: In this paper we investigate the solubility of a hard - sphere gas in a
solvent modeled as an associating lattice gas (ALG). The solution phase diagram
for solute at 5% is compared with the phase diagram o... | cond-mat_stat-mech |
Dynamics and thermodynamics of a topological transition in spin ice
materials under strain: We study single crystals of Dy$_2$Ti$_2$O$_7$ and Ho$_2$Ti$_2$O$_7$ under
magnetic field and stress applied along their [001] direction. We find that
many of the features that the emergent gauge field of spin ice confers to th... | cond-mat_stat-mech |
Realization of Levy flights as continuous processes: On the basis of multivariate Langevin processes we present a realization of
Levy flights as a continuous process. For the simple case of a particle moving
under the influence of friction and a velocity dependent stochastic force we
explicitly derive the generalized L... | cond-mat_stat-mech |
Some Finite Size Effects in Simulations of Glass Dynamics: We present the results of a molecular dynamics computer simulation in which
we investigate the dynamics of silica. By considering different system sizes,
we show that in simulations of the dynamics of this strong glass former
surprisingly large finite size effe... | cond-mat_stat-mech |
On the Conversion of Work into Heat: Microscopic Models and Macroscopic
Equations: We summarize and extend some of the results obtained recently for the
microscopic and macroscopic behavior of a pinned harmonic chain, with random
velocity flips at Poissonian times, acted on by a periodic force {at one end}
and in con... | cond-mat_stat-mech |
Phonon Thermodynamics versus Electron-Phonon Models: Applying the path integral formalism we study the equilibrium thermodynamics
of the phonon field both in the Holstein and in the Su-Schrieffer-Heeger
models. The anharmonic cumulant series, dependent on the peculiar source
currents of the {\it e-ph} models, have been... | cond-mat_stat-mech |
Counting metastable states in a kinetically constrained model using a
patch repetition analysis: We analyse metastable states in the East model, using a recently-proposed
patch-repetition analysis based on time-averaged density profiles. The results
reveal a hierarchy of states of varying lifetimes, consistent with p... | 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 |
Criticality and self-organization in branching processes: application to
natural hazards: The statistics of natural catastrophes contains very counter-intuitive
results. Using earthquakes as a working example, we show that the energy
radiated by such events follows a power-law or Pareto distribution. This means,
in t... | cond-mat_stat-mech |
Mechanisms of Granular Spontaneous Stratification and Segregation in
Two-Dimensional Silos: Spontaneous stratification of granular mixtures has been reported by Makse et
al. [Nature 386, 379 (1997)] when a mixture of grains differing in size and
shape is poured in a quasi-two-dimensional heap. We study this phenomeno... | cond-mat_stat-mech |
Classical no-cloning theorem under Liouville dynamics by non-Csiszár
f-divergence: The Csisz\'ar f-divergence, which is a class of information distances, is
known to offer a useful tool for analysing the classical counterpart of the
cloning operations that are quantum mechanically impossible for the factorized
and ma... | cond-mat_stat-mech |
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