Condensation in randomly perturbed zero-range processes
del Molino, L. C. G., Chleboun, P. I. (Paul I.) and Grosskinsky, Stefan. (2012) Condensation in randomly perturbed zero-range processes. Journal of Physics A: Mathematical and Theoretical, Vol.45 (No.20). Article no. 205001. ISSN 1751-8113Full text not available from this repository.
Official URL: http://dx.doi.org/10.1088/1751-8113/45/20/205001
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.
|Item Type:||Journal Article|
|Divisions:||Faculty of Science > Mathematics|
|Journal or Publication Title:||Journal of Physics A: Mathematical and Theoretical|
|Publisher:||IOP Publishing Ltd|
|Page Range:||Article no. 205001|
|Access rights to Published version:||Restricted or Subscription Access|
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