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We study a model for microscopic segregation in a homogeneous system of particles moving on a one-dimensional lattice. Particles tend to separate from each other, and evolution ceases when at least one empty site is found between any two…

Adaptation and Self-Organizing Systems · Physics 2009-11-11 Santiago Gil , Damian H. Zanette

We study steady state of the totally asymmetric simple exclusion process with inhomogeneous hopping rates associated with sites (site-wise disorder). Using the fact that the non-normalized steady-state weights which solve the master…

Statistical Mechanics · Physics 2013-07-19 J. Szavits-Nossan

Zero-range processes with decreasing jump rates are known to exhibit condensation, where a finite fraction of all particles concentrates on a single lattice site when the total density exceeds a critical value. We study such a process on a…

Probability · Mathematics 2018-04-26 Inés Armendáriz , Stefan Grosskinsky , Michail Loulakis

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 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…

Statistical Mechanics · Physics 2018-04-26 Stefan Grosskinsky , Tom Hanney

One-dimensional non-equilibrium models of particles subjected to a coagulation-diffusion process are important in understanding non-equilibrium dynamics, and fluctuation-dissipation relation. We consider in this paper transport properties…

Statistical Mechanics · Physics 2015-06-18 Jean-Yves Fortin

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.…

Statistical Mechanics · Physics 2017-04-14 Watthanan Jatuviriyapornchai , Stefan Grosskinsky

Characterizing current fluctuations in a steady state is of fundamental interest and has attracted considerable attention in the recent past. However, the bulk of the studies are limited to systems that either do not exhibit a phase…

Statistical Mechanics · Physics 2024-12-05 Tanmoy Chakraborty , Punyabrata Pradhan , Kavita Jain

We study the dynamics of condensation of the inclusion process on a one-dimensional periodic lattice in the thermodynamic limit, generalising recent results on finite lattices for symmetric dynamics. Our main focus is on totally asymmetric…

Statistical Mechanics · Physics 2015-06-30 Jiarui Cao , Paul Chleboun , Stefan Grosskinsky

We study, using Monte Carlo simulations, the steady state properties of a system of particles interacting via hard core exclusion and moving in a discrete flashing disordered ratchet potential. Quenched disorder is introduced by breaking…

Statistical Mechanics · Physics 2015-10-28 Jim Chacko , Goutam Tripathy

We study a zero range process on scale-free networks in order to investigate how network structure influences particle dynamics. The zero range process is defined with the particle jumping rate function $p(n)=n^\delta$. We show analytically…

Statistical Mechanics · Physics 2011-07-19 Jae Dong Noh , G. M. Shim , Hoyun Lee

We study the stationary properties as well as the non-stationary dynamics of the one-dimensional partially asymmetric exclusion process with position dependent random hop rates. In a finite system of $L$ sites the stationary current, $J$,…

Statistical Mechanics · Physics 2010-08-09 Róbert Juhász , Ludger Santen , Ferenc Iglói

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…

Statistical Mechanics · Physics 2015-05-26 Justin Whitehouse , André Costa , Richard A Blythe , Martin R Evans

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

We study the effect of quenched disorder on nonequilibrium systems of interacting particles, specifically, driven diffusive lattice gases with spatially disordered jump rates. The exact steady-state measure is found for a class of models…

Disordered Systems and Neural Networks · Physics 2009-10-30 Goutam Tripathy , Mustansir Barma

Condensation occurs in nonequilibrium steady states when a finite fraction of particles in the system occupies a single lattice site. We study condensation transitions in a one-dimensional zero-range process with a single defect site. The…

Statistical Mechanics · Physics 2009-11-10 A. G. Angel , M. R. Evans , D. Mukamel

We study a far-from-equilibrium system of interacting particles, hopping between sites of a 1d lattice with a rate which increases with the number of particles at interacting sites. We find that clusters of particles, which initially…

Statistical Mechanics · Physics 2015-05-30 Bartlomiej Waclaw , Martin R. Evans

Diffusive transport of a particle in spatially correlated random energy landscape having exponential density of states has been considered. We exactly calculate the diffusivity in the nondispersive quasi-equilibrium transport regime and…

Disordered Systems and Neural Networks · Physics 2018-02-14 S. V. Novikov

We have studied how 2- and 3- dimensional systems made up of particles interacting with finite range, repulsive potentials jam (i.e., develop a yield stress in a disordered state) at zero temperature and applied stress. For each…

Soft Condensed Matter · Physics 2007-05-23 C. S. O'Hern , L. E. Silbert , A. J. Liu , S. R. Nagel

We address the dynamics of interacting particles on a disordered lattice formed by a random comb. The dynamics comprises that of the asymmetric simple exclusion process, whereby motion to nearest-neighour sites that are empty is more likely…

Statistical Mechanics · Physics 2025-06-03 Mrinal Sarkar , Shamik Gupta