Boundary driven zero-range processes in random media

Abstract

The stationary states of boundary driven zero-range processes in random media with quenched disorder are examined, and the motion of a tagged particle is analyzed. For symmetric transition rates, also known as the random barrier model, the stationary state is found to be trivial in absence of boundary drive. Out of equilibrium, two further cases are distinguished according to the tail of the disorder distribution. For strong disorder, the fugacity profiles are found to be governed by the paths of normalized $\alpha$-stable subordinators. The expectations of integrated functions of the tagged particle position are calculated for three types of routes.

23 pages

References in corpus (5)

• Nonequilibrium Statistical Mechanics of the Zero-Range Process and Related Models
• Macroscopic fluctuation theory for stationary non equilibrium states
• Large Deviation of the Density Profile in the Steady State of the Open Symmetric Simple Exclusion Process
• Bose-Einstein Condensation In Disordered Exclusion Models and Relation to Traffic Flow
• Zero-range process with open boundaries

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• On the range of validity of the fluctuation theorem for stochastic Markovian dynamics
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• State estimation of long-range correlated non-equilibrium systems: media estimation