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We review recent progress on the zero-range process, a model of interacting particles which hop between the sites of a lattice with rates that depend on the occupancy of the departure site. We discuss several applications which have…

统计力学 · 物理学 2009-11-11 M. R. Evans , T. Hanney

A conserved lattice gas with random neighbor hopping of active particles is introduced which exhibits a continuous phase transition from an active state to an absorbing non-active state. Since the randomness of the particle hopping breaks…

统计力学 · 物理学 2009-11-07 S. Lubeck , A. Hucht

The Zero-Range Process, in which particles hop between sites on a lattice under conserving dynamics, is a prototypical model for studying real-space condensation. Within this model the system is critical only at the transition point. Here…

统计力学 · 物理学 2009-11-13 A. G. Angel , M. R. Evans , E. Levine , D. Mukamel

We consider an extension of the zero-range process to the case where the hop rate depends on the state of both departure and arrival sites. We recover the misanthrope and the target process as special cases for which the probability of the…

统计力学 · 物理学 2014-03-05 M. R. Evans , B. Waclaw

We present a Monte Carlo study of a lattice gas driven out of equilibrium by a local hopping bias. Sites can be empty or occupied by one of two types of particles, which are distinguished by their response to the hopping bias. All particles…

统计力学 · 物理学 2009-11-11 Edward Lyman , B. Schmittmann

A conserved generalized zero range process is considered in which two sites interact such that particles hop from the more populated site to the other with a probability $p$. The steady state particle distribution function $P(n)$ is…

统计力学 · 物理学 2016-05-04 Abdul Khaleque , Parongama Sen

We consider several one-dimensional driven lattice gas models that show a phase transition in the stationary state between a high-density fluid phase in which the particles are homogeneously distributed and a low-density jammed phase where…

统计力学 · 物理学 2016-04-13 Priyanka , Kavita Jain

We introduce and solve a model of hardcore particles on a one dimensional periodic lattice which undergoes an active-absorbing state phase transition at finite density. In this model an occupied site is defined to be active if its left…

统计力学 · 物理学 2009-07-28 Urna Basu , P. K. Mohanty

We investigate a non-Poissonian version of the asymmetric simple exclusion process, motivated by the observation that coarse-graining the interactions between particles in complex systems generically leads to a stochastic process with a…

统计力学 · 物理学 2015-05-26 R. J. Concannon , R. A. Blythe

The zero range process is of particular importance as a generic model for domain wall dynamics of one-dimensional systems far from equilibrium. We study this process in one dimension with rates which induce an effective attraction between…

统计力学 · 物理学 2018-04-26 Stefan Grosskinsky , Gunter M. Schuetz , Herbert Spohn

We study the effect of quenched disorder on the zero-range process (ZRP), a system of interacting particles undergoing biased hopping on a one-dimensional periodic lattice, with the disorder entering through random capacities of sites. In…

统计力学 · 物理学 2015-08-04 Shamik Gupta , Mustansir Barma

We study stochastic particle systems that conserve the particle density and exhibit a condensation transition due to particle interactions. We restrict our analysis to spatially homogeneous systems on finite lattices with stationary product…

统计力学 · 物理学 2018-05-09 Thomas Rafferty , Paul Chleboun , Stefan Grosskinsky

We study dynamics of a phase boundary in a one-dimensional lattice gas, which is initially put into a non-equilibrium configuration and then is let to evolve in time by particles performing nearest-neighbor random walks constrained by…

统计力学 · 物理学 2007-05-23 G. Oshanin , J. De Coninck , M. Moreau , S. F. Burlatsky

The zero-range process is a stochastic interacting particle system that exhibits a condensation transition under certain conditions on the dynamics. It has recently been found that a small perturbation of a generic class of jump rates leads…

统计力学 · 物理学 2015-03-19 Luis Carlos Garcia del Molino , Paul Chleboun , Stefan Grosskinsky

Condensation transition in a non-Markovian zero-range process is studied in one and higher dimensions. In the mean-field approximation, corresponding to infinite range hopping, the model exhibits condensation with a stationary condensate,…

统计力学 · 物理学 2015-06-05 Ori Hirschberg , David Mukamel , Gunter M. Schütz

We introduce and solve exactly a class of interacting particle systems in one dimension where particles hop asymmetrically. In its simplest form, namely asymmetric zero range process (AZRP), particles hop on a one dimensional periodic…

统计力学 · 物理学 2018-01-24 Amit Kumar Chatterjee , P. K. Mohanty

We introduce a one-dimensional non-equilibrium lattice gas model representing the processive motion of dynein molecular motors over the microtubule. We study both dynamical and stationary state properties for the model consisting of…

统计力学 · 物理学 2021-02-03 Riya Nandi , Priyanka

We study stochastic particle systems with stationary product measures that exhibit a condensation transition due to particle interactions or spatial inhomogeneities. We review previous work on the stationary behaviour and put it in the…

统计力学 · 物理学 2014-02-19 Paul Chleboun , Stefan Grosskinsky

It is difficult to derive the solid--fluid transition from microscopic models. We introduce particle systems whose potentials do not decay with distance and calculate their partition function exactly using a method similar to that for…

统计力学 · 物理学 2015-09-04 Hisato Komatsu

Conformational phases of a semiflexible off-lattice homopolymer model near an attractive substrate are investigated by means of multicanonical computer simulations. In our polymer-substrate model, nonbonded pairs of monomers as well as…

计算物理 · 物理学 2009-07-20 Monika Möddel , Michael Bachmann , Wolfhard Janke
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