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Using Monte Carlo simulations and a mean-field theory, we study domain growth in a driven lattice gas. Mediated by a single vacancy, two species of particles (``charges'') unmix, so that a disordered initial configuration develops…

Statistical Mechanics · Physics 2009-11-07 B. Schmittmann , M. Thies

We study slow dynamics of particles moving in a matrix of immobile obstacles using molecular dynamics simulations. The glass transition point decreases drastically as the obstacle density increases. At higher obstacle densities, the…

Soft Condensed Matter · Physics 2009-11-17 Kang Kim , Kunimasa Miyazaki , Shinji Saito

Using molecular dynamics simulations, we study the slow dynamics of supercooled liquids confined in a random matrix of immobile obstacles. We study the dynamical crossover from glass-like to Lorentz-gas-like behavior in terms of the density…

Soft Condensed Matter · Physics 2011-05-30 Kang Kim , Kunimasa Miyazaki , Shinji Saito

The dynamics of strongly disordered systems becomes extremely slow or glassy at low temperatures, which results in a characteristic aging scenario. This means that the outcome of measurements strongly depends on the history of the system…

Condensed Matter · Physics 2015-06-25 Heiko Rieger

We present a study of dynamical scaling and front motion in a one dimensional system that describes Rayleigh-Benard convection in a rotating cell. We use a model of three competing modes proposed by Busse and Heikes to which spatial…

Condensed Matter · Physics 2016-08-31 R. Gallego , M. San Miguel , R. Toral

Aging phenomena of short-range Ising spin glass models have been investigated using Monte Carlo simulations. It is found that in the low-temperature spin-glass phase the mean domain size exhibits a crossover from a power-law growth…

Disordered Systems and Neural Networks · Physics 2009-10-31 Koji Hukushima , Hajime Yoshino , Hajime Takayama

We study domain growth in a nonlinear optical system useful to explore different scenarios that might occur in systems which do not relax to thermodynamic equilibrium. Domains correspond to equivalent states of different circular…

patt-sol · Physics 2009-10-31 R. Gallego , M. San Miguel , R. Toral

The kinetics of domain growth and aging in conserved order parameter systems, in the presence of short-range interaction, is widely studied. Due to technical difficulties and lack of resources, regarding computation, the dynamics is still…

Statistical Mechanics · Physics 2023-04-12 Soumik Ghosh , Subir K. Das

A spin-glass transition has been investigated for a long time but we have not yet reached a conclusion due to difficulties in the simulations. They are slow dynamics, strong finite-size effects, and sample-to-sample dependences. We…

Disordered Systems and Neural Networks · Physics 2019-02-11 Tota Nakamura

Using extensive Monte Carlo simulations we study aging properties of two disordered systems quenched below their critical point, namely the two-dimensional random-bond Ising model and the three-dimensional Edwards-Anderson Ising spin glass…

Statistical Mechanics · Physics 2015-06-05 Hyunhang Park , Michel Pleimling

We present results from extensive Monte Carlo (MC) simulations of domain growth in ferromagnets and binary mixtures with quenched disorder. These are modeled by the "random-bond Ising model" and the "dilute Ising model" with either…

Disordered Systems and Neural Networks · Physics 2009-11-11 Raja Paul , Sanjay Puri , Heiko Rieger

Surface growth models may give rise to unstable growth with mound formation whose tipical linear size L increases in time. In one dimensional systems coarsening is generally driven by an attractive interaction between domain walls or kinks.…

Statistical Mechanics · Physics 2007-05-23 Alessandro Torcini , Paolo Politi

We investigate the characteristic length scales associated with the glass transition phenomenon. By studying an atomic glass-forming liquid in negatively curved space, for which the local order is well identified and the amount of…

Statistical Mechanics · Physics 2010-02-10 François Sausset , Gilles Tarjus

We introduce a family of local models of dynamics based on ``word problems'' from computer science and group theory, for which we can place rigorous lower bounds on relaxation timescales. These models can be regarded either as random…

Quantum Physics · Physics 2024-08-05 Shankar Balasubramanian , Sarang Gopalakrishnan , Alexey Khudorozhkov , Ethan Lake

We study electromigration in a driven diffusive lattice gas (DDLG) whose continuous Monte Carlo dynamics generate higher particle mobility in areas with lower particle density. At low vacancy concentrations and low temperatures, vacancy…

Condensed Matter · Physics 2009-10-22 L. K. Wickham , J. P. Sethna

We study a two-lane model of two-species of particles that perform biased diffusion. Extensive numerical simulations show that when bias q is strong enough oppositely drifting particles form some clusters that block each other. Coarsening…

Statistical Mechanics · Physics 2015-05-13 Adam Lipowski , Dorota Lipowska

The coarsening process in a class of driven systems is studied. These systems have previously been shown to exhibit phase separation and slow coarsening in one dimension. We consider generalizations of this class of models to higher…

Statistical Mechanics · Physics 2015-06-24 Y. Kafri , D. Biron , M. R. Evans , D. Mukamel

We investigate by means of Monte Carlo simulations the fully connected p-state Potts model for different system sizes in order to see how the static and dynamic properties of a finite model compare with the, exactly known, behavior of the…

Statistical Mechanics · Physics 2009-11-07 Claudio Brangian , Walter Kob , Kurt Binder

We report logarithmically slow expansion of hot bubbles in gases in the process of cooling. A model problem first solved, when the temperature has compact support. Then temperature profile decaying exponentially at large distances is…

patt-sol · Physics 2009-10-31 Baruch Meerson , Pavel V. Sasorov , Ken Sekimoto

We present a study of dynamical scaling and domain growth in a non potential system that models Rayleigh-Benard convection in a rotating cell. In d=1, dynamical scaling holds, but the non potential terms modify the characteristic growth law…

Statistical Mechanics · Physics 2015-06-25 R. Gallego , M. San Miguel , Raul Toral