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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…

Statistical Mechanics · Physics 2016-02-17 Hannes Nagel , Wolfhard Janke

Using numerical methods we discuss the effects of open boundary conditions on condensation phenomena in the zero-range process (ZRP) and transport processes with pair-factorized steady states (PFSS), an extended model of the ZRP with…

Statistical Mechanics · Physics 2016-01-18 Hannes Nagel , D. Labavic , Hildegard Meyer-Ortmanns , Wolfhard Janke

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…

Statistical Mechanics · Physics 2009-11-10 E. Levine , D. Mukamel , G. M. Schutz

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.…

Statistical Mechanics · Physics 2012-12-18 Ori Hirschberg , David Mukamel , Gunter M. Schütz

We study boundary induced phase transitions in a driven lattice gas exhibiting metastability. The phase diagram for open systems, parameterized by the input and output rates, consists of two regions corresponding to the free flow and jammed…

Statistical Mechanics · Physics 2010-05-11 Cecile Appert , Ludger Santen

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…

Statistical Mechanics · Physics 2014-03-05 M. R. Evans , B. Waclaw

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…

Statistical Mechanics · Physics 2009-11-11 M. R. Evans , T. Hanney

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…

Statistical Mechanics · Physics 2016-05-04 Abdul Khaleque , Parongama Sen

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.…

Statistical Mechanics · Physics 2009-11-13 Stefan Grosskinsky , Paul Chleboun , 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…

Statistical Mechanics · Physics 2015-03-19 Luis Carlos Garcia del Molino , Paul Chleboun , Stefan Grosskinsky

We investigate the influence of boundaries and spatial nonreciprocity on nonequilibrium driven-dissipative phase transitions. We focus on a one-dimensional lattice of nonlinear bosons described by a Lindblad master equation, where the…

Quantum Physics · Physics 2025-09-26 Ron Belyansky , Cheyne Weis , Ryo Hanai , Peter B. Littlewood , Aashish A. Clerk

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…

Statistical Mechanics · Physics 2015-06-12 Ori Hirschberg , David Mukamel , Gunter M. Schütz

Driven non-equilibrium lattice models have wide-ranging applications in contexts such as mass transport, traffic flow, and transport in biological systems. In this work, we investigate the steady-state properties of a one-dimensional…

Statistical Mechanics · Physics 2026-01-16 Swastik Majumder , Mustansir Barma

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…

Statistical Mechanics · Physics 2016-07-28 Hannes Nagel , Wolfhard Janke

We study real-space condensation in a broad class of stochastic mass transport models. We show that the steady state of such models has a pair-factorised form which generalizes the standard factorized steady states. The condensation in this…

Statistical Mechanics · Physics 2007-05-23 M. R. Evans , T. Hanney , Satya N. Majumdar

We investigated domain growth in switching processes between the low-spin and high-spin phases in thermally induced hysteresis loops of spin-crossover (SC) solids. Elastic interactions among the molecules induce effective long-range…

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…

Statistical Mechanics · Physics 2009-11-10 T. Hanney , M. R. Evans

We study the effect on the stationary currents of constraints affecting the hopping rates in stochastic particle systems. In the framework of Zero Range Processes with drift within a finite volume, we discuss how the current is reduced by…

Statistical Mechanics · Physics 2017-03-03 Emilio N. M. Cirillo , Matteo Colangeli , Adrian Muntean

The flow of motor proteins on a filamental track is modelled within the the framework of lattice driven diffusive systems. Motors, considered as hopping particles, perform a highly biased asymmetric exclusion process when bound to the…

Statistical Mechanics · Physics 2007-05-23 M. Ebrahim Fouladvand , Modjtaba Salehi , Mostafa Yadegari

The effect of a diffusivity edge is studied in a system of scalar active matter confined by a periodic potential and driven by an externally applied force. We find that this system shows qualitatively distinct stationary regimes depending…

Statistical Mechanics · Physics 2024-02-27 Jonas Berx , Aritra Bose , Ramin Golestanian , Benoît Mahault
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