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We introduce a simple zero-range process with constant rates and one fast rate for a particular occupation number, which diverges with the system size. Surprisingly, this minor modification induces a condensation transition in the…

概率论 · 数学 2025-01-07 Watthanan Jatuviriyapornchai , Stefan Grosskinsky

We study the dynamics of condensation for a stochastic continuous mass transport process defined on a one-dimensional lattice. Specifically we introduce three different variations of the truncated random average process. We generalize…

统计力学 · 物理学 2017-07-27 Christos Christou , Andreas Schadschneider

The effect of particle overtaking on transport in a narrow channel is studied using a 1d model of a driven tracer in a quiescent bath. In contrast with the well-studied non-driven case, where the tracer's long-time dynamics changes from…

统计力学 · 物理学 2020-06-30 Asaf Miron , David Mukamel , Harald A. Posch

An exactly solvable model for the rewiring dynamics of weighted, directed networks is introduced. Simulations indicate that the model exhibits two types of condensation: (i) a phase in which, for each node, a finite fraction of its total…

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

A driven diffusive model of three types of particles that exhibits phase separation on a ring is introduced. The dynamics is local and comprises nearest neighbor exchanges that conserve each of the three species. For the case in which the…

统计力学 · 物理学 2009-10-30 M. R. Evans , Y. Kafri , H. M. Koduvely , D. Mukamel

We consider a zero-range process with two species of interacting particles. The steady state phase diagram of this model shows a variety of condensate phases in which a single site contains a finite fraction of all the particles in the…

统计力学 · 物理学 2018-04-26 Stefan Grosskinsky , Tom Hanney

We introduce and study a model of hardcore particles obeying run-and-tumble dynamics on a one-dimensional lattice, where particles run in either +ve or -ve $x$-direction with an effective speed $v$ and tumble (change their direction of…

统计力学 · 物理学 2023-06-28 Indranil Mukherjee , Adarsh Raghu , P. K. Mohanty

We consider networks made of parallel lanes along which particles hop according to driven diffusive dynamics. The particles also hop transversely from lane to lane, hence indirectly coupling their longitudinal dynamics. We present a general…

统计力学 · 物理学 2016-02-17 A. I. Curatolo , M. R. Evans , Y. Kafri , J. Tailleur

The dynamics of a class of zero-range processes exhibiting a condensation transition in the stationary state is studied. The system evolves in time starting from a random disordered initial condition. The analytical study of the large-time…

统计力学 · 物理学 2016-08-31 C. Godreche

We investigate the conditions under which a moving condensate may exist in a driven mass transport system. Our paradigm is a minimal mass transport model in which $n-1$ particles move simultaneously from a site containing $n>1$ particles to…

统计力学 · 物理学 2015-05-26 Justin Whitehouse , André Costa , Richard A Blythe , Martin R Evans

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

Demixing of binary fluids subjected to slow temperature ramps shows repeated waves of nucleation which arise as a consequence of the competition between generation of supersaturation by the temperature ramp and relaxation of supersaturation…

统计力学 · 物理学 2012-10-16 Izabella J. Benczik , Jürgen Vollmer

We investigate the dynamical and structural properties of absorbing phase transitions (APTs) within granular systems. Specifically, we examine a model for vibrofluidized systems of spherical grains, which undergo a transition from a state…

软凝聚态物质 · 物理学 2025-12-24 Raphael Maire , Andrea Plati , Frank Smallenburg , Giuseppe Foffi

A one-dimensional model on a line of the length L is investigated, which involves particle diffusion as well as single particle annihilation. There are also creation and annihilation at the boundaries. The static and dynamical behaviors of…

数学物理 · 物理学 2014-03-17 Mohammad Khorrami , Amir Aghamohammadi

A driven system of three species of particle diffusing on a ring is studied in detail. The dynamics is local and conserves the three densities. A simple argument suggesting that the model should phase separate and break the translational…

统计力学 · 物理学 2009-10-31 M. R. Evans , Y. Kafri , H. M. Koduvely , D. Mukamel

Zero-range processes with decreasing jump rates are well known to exhibit a condensation transition under certain conditions on the jump rates, and the dynamics of this transition continues to be a subject of current research interest.…

统计力学 · 物理学 2017-04-14 Watthanan Jatuviriyapornchai , Stefan Grosskinsky

This study investigates the complex dynamic interactions between two typed populations coexisting within a shared space. We propose both theoretical and numerical study to analyze scenarios where one population (population $1$) must…

偏微分方程分析 · 数学 2025-01-28 Mariam Al Khatib , Said Gounane , Noureddine Igbida , Ghadir Jradi

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…

统计力学 · 物理学 2015-06-24 Y. Kafri , D. Biron , M. R. Evans , D. Mukamel

We study a one-dimensional totally asymmetric exclusion process with random particle attachments and detachments in the bulk. The resulting dynamics leads to unexpected stationary regimes for large but finite systems. Such regimes are…

统计力学 · 物理学 2007-05-23 A. Parmeggiani , T. Franosch , E. Frey

After reviewing the general scaling properties of aging systems, we present a numerical study of the slow evolution induced in the zeta urn model by a quench from a high temperature to a lower one where a condensed equilibrium phase exists.…

统计力学 · 物理学 2015-11-30 Federico Corberi , Giuseppe Gonnella , Alessandro Mossa