Thursday, July 19, 2012

1201.1264 (Luis Carlos Garcia del Molino et al.)

Condensation in randomly perturbed zero-range processes    [PDF]

Luis Carlos Garcia del Molino, Paul Chleboun, Stefan Grosskinsky
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 to a drastic change of the phase diagram and prevents condensation in an extended parameter range. We complement this study with rigorous results on a finite critical density and quenched free energy in the thermodynamic limit, as well as quantitative heuristic results for small and large noise which are supported by detailed simulation data. While our new results support the initial findings, they also shed new light on the actual (limited) relevance in large finite systems, which we discuss via fundamental diagrams obtained from exact numerics for finite systems.
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