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We study the out-of-equilibrium aging dynamics of the Random Energy Model (REM) ruled by a single spin-flip Metropolis dynamics. We focus on the dynamical evolution taking place on time-scales diverging with the system size. Our aim is to…

Disordered Systems and Neural Networks · Physics 2018-01-08 Marco Baity-Jesi , Giulio Biroli , Chiara Cammarota

We discuss the relaxation dynamics of a simple lattice gas model for glass-forming systems and show that with increasing density of particles this dynamics slows down very quickly. By monitoring the trajectory of tagged particles we find…

Soft Condensed Matter · Physics 2010-05-07 Pinaki Chaudhuri , Ludovic Berthier , Srikanth Sastry , Walter Kob

Motor proteins are active enzymatic molecules that drive a variety of biological processes, including transfer of genetic information, cellular transport, cell motility and muscles contraction. It is known that these biological molecular…

Soft Condensed Matter · Physics 2018-01-17 Luiza V. F. Gomes , Anatoly B. Kolomeisky

We study a one dimensional nonequilibrium lattice model with competing features of particle attraction and non-local hops. The system is similar to a zero range process (ZRP) with attractive particles but the particles can make both local…

Statistical Mechanics · Physics 2015-05-14 Apoorva Nagar

We investigate the dynamic relaxation of random walks on temporal networks by focusing in the recently proposed activity driven model [Perra \textit{et al.} Sci. Rep. srep00469 (2012)]. For realistic activity distributions with a power-law…

Statistical Mechanics · Physics 2014-11-18 Angélica S. Mata , Romualdo Pastor-Satorras

We study diffusion-limited coalescence, A+A<-->A, in one dimension, in the presence of a diffusing trap. The system may be regarded as a generalization of von Smoluchowski's model for reaction rates, in that: (a) it includes reactions…

Statistical Mechanics · Physics 2015-06-25 Aleksandar Donev , Jeff Rockwell , Daniel ben-Avraham

Relaxation and correlation times are two parameters used frequently in approximate descriptions of the time development of hadronizing system from some initial state towards distributions observed experimentally. Chosen to reproduce the…

High Energy Physics - Phenomenology · Physics 2021-07-07 Maciej Rybczynski , Grzegorz Wilk , Zbigniew Wlodarczyk

This paper introduces and analyses a general statistical model, termed the RARE model, of random relaxation processes in disordered systems. The model considers excitations, that are randomly scattered around a reaction center in a general…

Statistical Mechanics · Physics 2015-06-12 Iddo Eliazar , Ralf Metzler

We examine a two-dimensional system of sterically repulsive interacting disks where each particle runs in a random direction. This system is equivalent to a run-and-tumble dynamics system in the limit where the run time is infinite. At low…

Soft Condensed Matter · Physics 2017-12-06 C. Reichhardt , C. J. Olson Reichhardt

We study a class of nonequilibrium lattice models on a ring where particles hop in a particular direction, from a site to one of its (say, right) nearest neighbours, with a rate that depends on the occupation of all the neighbouring sites…

Statistical Mechanics · Physics 2015-09-15 Amit Chatterjee , Punyabrata Pradhan , P. K. Mohanty

We investigate the dynamics of tracer particles in the random average process (RAP), a single-file system in one dimension. In addition to the position, every particle possesses an internal spin variable $\sigma (t)$ that can alternate…

Statistical Mechanics · Physics 2024-07-01 Saikat Santra , Prashant Singh , Anupam Kundu

The Hamiltonian Mean Field (HMF) model has a low-energy phase where $N$ particles are trapped inside a cluster. Here, we investigate some properties of the trapping/untrapping mechanism of a single particle into/outside the cluster. Since…

Chaotic Dynamics · Physics 2007-11-25 Hiroko Koyama , Tetsuro Konishi , Stefano Ruffo

The $n$-species totally asymmetric zero range process ($n$-TAZRP) on one-dimensional periodic chain studied recently by the authors is a continuous time Markov process where arbitrary number of particles can occupy the same sites and hop to…

Mathematical Physics · Physics 2017-01-06 Atsuo Kuniba , Shouya Maruyama , Masato Okado

We consider the one-dimensional partially asymmetric zero range process where the hopping rates as well as the easy direction of hopping are random variables. For this type of disorder there is a condensation phenomena in the thermodynamic…

Statistical Mechanics · Physics 2009-11-11 Róbert Juhász , Ludger Santen , Ferenc Iglói

We consider a chain of trapped ions to interact with each other via long-range interactions. This system can be used to simulate the long-range Ising model. We study the dynamics of quantum coherence of a single spin in the chain, where the…

Quantum Physics · Physics 2015-11-25 H. T. Ng , Jing-Ning Zhang

Trap models have been initially proposed as toy models for dynamical relaxation in extremely simplified rough potential energy landscapes. Their importance has considerably grown recently thanks to the discovery that the trap like aging…

Disordered Systems and Neural Networks · Physics 2018-04-18 Chiara Cammarota , Enzo Marinari

We use computer simulations to study the relaxation dynamics of a model for oil-in-water microemulsion droplets linked with telechelic polymers. This system exhibits both gel and glass phases and we show that the competition between these…

Soft Condensed Matter · Physics 2015-05-29 Pinaki Chaudhuri , Pablo I. Hurtado , Ludovic Berthier , Walter Kob

We study in details the dynamics of the one dimensional symmetric trap model, via a real-space renormalization procedure which becomes exact in the limit of zero temperature. In this limit, the diffusion front in each sample consists in two…

Condensed Matter · Physics 2009-11-10 Cecile Monthus

We study a class of zero-range processes in which the real-space condensation phenomenon does not occur and is replaced by a saturated condensation: that is, an extensive number of finite-size "condensates" in the steady state. We determine…

Statistical Mechanics · Physics 2013-05-20 A. G. Thompson , J. Tailleur , M. E. Cates , R. A. Blythe

We have used Monte-Carlo methods and analytical techniques to investigate the influence of the characteristics, such as pipe length, diffusion, adsorption, desorption and reaction rates on the transient properties of Single-File Systems.…

Chemical Physics · Physics 2009-11-07 S. V. Nedea , A. P. J. Jansen , J. J. Lukkien , P. A. J. Hilbers