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A one-dimensional Ising model with nearest neighbour interactions is applied to study compaction processes in granular media. An equivalent particle-hole picture is introduced, with the holes being associated to the domain walls of the…

Statistical Mechanics · Physics 2009-11-07 A. Prados , J. Javier Brey

An extension of the Kinetic Ising model with nonuniform coupling constants on a one-dimensional lattice with boundaries is investigated, and the relaxation of such a system towards its equilibrium is studied. Using a transfer matrix method,…

Statistical Mechanics · Physics 2010-10-20 Mohammad Khorrami , Amir Aghamohammadi

We derive the scaling limit for the Hierarchical Random Hopping dynamics for the non cascading 2-GREM at low temperatures and time scales where the dynamics is close to equilibrium. The {\em fine tuning} phenomenon plays a role (under…

Probability · Mathematics 2021-10-19 Luiz Renato Fontes , Susana Frómeta , Leonel Zuaznábar

The inhomogeneous cooling state describing the hydrodynamic behavior of a freely evolving granular gas strongly confined between two parallel plates is studied, using a Boltzmann kinetic equation derived recently. By extending the idea of…

Statistical Mechanics · Physics 2019-12-20 J. Javier Brey , M. I. García de Soria , P. Maynar

The non-equilibrium dynamics of condensation phenomena in nano-pores is studied via Monte Carlo simulation of a lattice gas model. Hysteretic behavior of the particle density as a function of the density of a reservoir is obtained for…

Soft Condensed Matter · Physics 2009-11-10 Raja Paul , Heiko Rieger

We study nonequilibrium dynamical properties of inhomogeneous systems, in particular at a free surface or at a defect plane. Thereby we consider nonconserved (model-A) dynamics of a system which is prepared in the high-temperature phase and…

Statistical Mechanics · Physics 2009-11-10 Michel Pleimling , Ferenc Igloi

We analyse a one-dimensional model of hard particles, within ensembles of trajectories that are conditioned (or biased) to atypical values of the time-averaged dynamical activity. We analyse two phenomena that are associated with these…

Statistical Mechanics · Physics 2015-11-18 Ian R. Thompson , Robert L. Jack

Recent studies have indicated that the coarse grained dynamics of a large class of traffic models and driven-diffusive systems may be described by urn models. We consider a class of one-dimensional urn models whereby particles hop from an…

Statistical Mechanics · Physics 2009-11-10 E. Levine , D. Mukamel , G. Ziv

The present work is an endeavour to determine analytically features of the stationary measure of a non-integrable zero-range process, and to investigate the possible existence of phase transitions for such a nonequilibrium model. The rates…

Statistical Mechanics · Physics 2009-11-20 C Godreche

In low temperature supercooled liquid, below the ideal mode coupling theory transition temperature, hopping and continuous diffusion are seen to coexist. We present a theory which incorporates interaction between the two processes and shows…

Statistical Mechanics · Physics 2008-07-08 Sarika Maitra Bhattacharyya , Biman Bagchi , Peter G. Wolynes

The kinetics and microstructure of solid-phase crystallization under continuous heating conditions and random distribution of nuclei are analyzed. An Arrhenius temperature dependence is assumed for both nucleation and growth rates. Under…

Materials Science · Physics 2017-04-26 J. Farjas , P. Roura

Using a large number of numerical simulations we examine the steady state of rotating turbulent flows in triple periodic domains, varying the Rossby number $Ro$ (that measures the inverse rotation rate) and the Reynolds number $Re$ (that…

Fluid Dynamics · Physics 2018-03-14 Kannabiran Seshasayanan , Alexandros Alexakis

We review some aspects of current knowledge regarding the decay of metastable phases in many-particle systems. In particular we emphasize recent theoretical and computational developments and numerical results regarding homogeneous…

Condensed Matter · Physics 2016-11-03 P. A. Rikvold , B. M. Gorman

Motivated by recent experiments, we explore the kinetics of Bose-Einstein condensation in the upper band of a double well optical lattice. These experiments engineer a non-equilibrium situation in which the highest energy state in the band…

Quantum Gases · Physics 2020-03-18 Vaibhav Sharma , Sayan Choudhury , Erich J. Mueller

The dynamics of randomly crosslinked liquids is addressed via a Rouse- and a Zimm-type model with crosslink statistics taken either from bond percolation or Erdoes-Renyi random graphs. While the Rouse-type model isolates the effects of the…

Soft Condensed Matter · Physics 2007-05-23 Henning Löwe , Peter Müller , Annette Zippelius

We study dynamics and scaling exponents in a nonlinear network model inspired by the formation of planetary systems. Dynamics of this model leads to phase separation to two types of condensate, light and heavy, distinguished by how they…

Statistical Mechanics · Physics 2013-05-29 Aleksandar Bogojevic , Antun Balaz , Aleksandar Belic

Explicit expressions for arrival times of particles moving in a one-dimensional Zero-Range Process (ZRP) are computed. Particles are fed into the ZRP from an injection site and can also evaporate from anywhere in the interior of the ZRP.…

Statistical Mechanics · Physics 2015-05-18 B. Hertz Shargel , M. R. D'Orsogna , T. Chou

We numerically study stochastic resonance in the unzipping of a model double-stranded DNA by a periodic force. We observe multiple peaks in stochastic resonance in the output signal as the driving force frequency is varied for different…

Soft Condensed Matter · Physics 2023-08-22 Ramu Kumar Yadav , M. Suman Kalyan , Rajeev Kapri , Abhishek Chaudhuri

We consider stochastic lattice gases with stationary product weights and a polynomial perturbation vanishing with the system size that leads to condensation. If the density of particles exceeds a critical value the system phase separates…

Probability · Mathematics 2026-03-03 Joshua Blank , Paul Chleboun , Stefan Grosskinsky , Watthanan Jatuviriyapornchai

We consider the zero-range process with arbitrary bounded monotone rates on the complete graph, in the regime where the number of sites diverges while the density of particles per site converges. We determine the asymptotics of the mixing…

Probability · Mathematics 2018-11-09 Jonathan Hermon , Justin Salez
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