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We discuss the effects of particle exchange through open boundaries and the induced drive on the phase structure and condensation phenomena of a stochastic transport process with tunable short-range interactions featuring pair-factorized…

统计力学 · 物理学 2015-09-02 Hannes Nagel , Hildegard Meyer-Ortmanns , Wolfhard Janke

We discuss the effects of open boundary conditions and boundary induced drift on condensation phenomena in the pair-factorized steady states transport process, a versatile model for stochastic transport with tunable nearest-neighbour…

统计力学 · 物理学 2016-02-17 Hannes Nagel , Wolfhard Janke

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

Driven diffusive systems such as the zero-range process (ZRP) and the pair-factorized steady states (PFSS) stochastic transport process are versatile tools that lend themselves to the study of transport phenomena on a generic level. While…

统计力学 · 物理学 2016-07-28 Hannes Nagel , Wolfhard Janke

We examine the effect of spatial correlations on the phenomenon of real-space condensation in driven mass-transport systems. We suggest that in a broad class of models with a spatially correlated steady state, the condensate drifts with a…

统计力学 · 物理学 2015-06-12 Ori Hirschberg , David Mukamel , Gunter M. Schütz

We calculate the exact stationary distribution of the one-dimensional zero-range process with open boundaries for arbitrary bulk and boundary hopping rates. When such a distribution exists, the steady state has no correlations between sites…

统计力学 · 物理学 2009-11-10 E. Levine , D. Mukamel , G. M. Schutz

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

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 the asymmetric zero-range process (ZRP) with L sites and open boundaries, conditioned to carry an atypical current. Using a generalized Doob h-transform we compute explicitly the transition rates of an effective process for which…

统计力学 · 物理学 2015-12-09 Ori Hirschberg , David Mukamel , Gunter M. Schütz

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 phenomena in non-equilibrium systems have been modeled by the zero-range process, which is a model of particles hopping between boxes with Markovian dynamics. In many cases, memory effects in the dynamics cannot be neglected.…

统计力学 · 物理学 2012-12-18 Ori Hirschberg , David Mukamel , Gunter M. Schütz

We discuss statics and dynamics of condensation in a zero-range process with compartments of limited sizes. For the symmetric dynamics the stationary state has a factorized form. For the asymmetric dynamics the steady state factorizes only…

统计力学 · 物理学 2014-02-25 Artem Ryabov

The relaxation dynamics of zero range process (ZRP) has always been an interesting problem. In this study, we set up the relationship between ZRP and traps model, and investigate the slow dynamics of ZRP in the framework of traps model.…

统计力学 · 物理学 2015-06-04 Kai Qi , Ming Tang , Aixiang Cui , Yan Fu

We study an open-boundary version of the on-off zero-range process introduced in Hirschberg et al. [Phys. Rev. Lett. 103, 090602 (2009)]. This model includes temporal correlations which can promote the condensation of particles, a situation…

统计力学 · 物理学 2015-08-25 Massimo Cavallaro , Raúl J. Mondragón , Rosemary J. Harris

We study a driven zero range process which models a closed system of attractive particles that hop with site-dependent rates and whose steady state shows a condensation transition with increasing density. We characterise the dynamical…

统计力学 · 物理学 2009-11-10 Kavita Jain , Mustansir Barma

We study a zero-range process with two species of interacting particles. We show that the steady state assumes a simple factorised form, provided the dynamics satisfy certain conditions, which we derive. The steady state exhibits a new…

统计力学 · 物理学 2009-11-10 M. R. Evans , T. Hanney

The zero-range process is a stochastic interacting particle system that is known to exhibit a condensation transition. We present a detailed analysis of this transition in the presence of quenched disorder in the particle interactions.…

统计力学 · 物理学 2009-11-13 Stefan Grosskinsky , Paul Chleboun , Gunter M. Schütz

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 study condensation transitions in the steady state of a zero-range process with two species of particles. The steady state is exactly soluble -- it is given by a factorised form provided the dynamics satisfy certain constraints -- and we…

统计力学 · 物理学 2009-11-10 T. Hanney , M. R. Evans

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
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