Convergence to the maximal invariant measure for a zero-range process with random rates.

DOI10.1016/S0304-4149(00)00037-5zbMath1047.60097arXivmath/9911205MaRDI QIDQ1879483

Pablo A. Ferrari, Enrique Daniel Andjel, Claudio Landim, Hervé Guiol

Publication date: 22 September 2004

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9911205

zbMATH Keywords

invariant measureszero-rangerandom ratesconvergence to the maximal invariant measure

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Related Items (13)

Behavior dominated by slow particles in a disordered asymmetric exclusion process. ⋮ Condensation and symmetry-breaking in the zero-range process with weak site disorder ⋮ Monotonicity and condensation in homogeneous stochastic particle systems ⋮ Hydrodynamics in a condensation regime: the disordered asymmetric zero-range process ⋮ Zero-range condensation at criticality ⋮ Properties of the limit shape for some last-passage growth models in random environments ⋮ Condensation in the inhomogeneous zero-range process: an interplay between interaction and diffusion disorder ⋮ Quantitative estimates for the flux of TASEP with dilute site disorder ⋮ Condensation in the inclusion process and related models ⋮ Condensation in stochastic particle systems with stationary product measures ⋮ Quenched convergence and strong local equilibrium for asymmetric zero-range process with site disorder ⋮ Properties and conjectures for the flux of TASEP with site disorder ⋮ Supercriticality conditions for asymmetric zero-range process with sitewise disorder

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Invariant measures for the zero range process
• Sufficient statistics and extreme points
• Hydrodynamics and platoon formation for a totally asymmetric exclusion model with particlewise disorder
• Hydrodynamical limit for spatially heterogeneous simple exclusion processes
• Hydrodynamic behavior of symmetric zero-range processes with random rates
• Equilibrium fluctuations for zero range processes in random environment
• Asymmetric conservative processes with random rates
• Hydrodynamical limit for space inhomogeneous one-dimensional totally asymmetric zero-range processes
• Phase transitions in driven diffusive systems with random rates
• Networks of Waiting Lines

This page was built for publication: Convergence to the maximal invariant measure for a zero-range process with random rates.