NDLI: Condensation in the Zero Range Process: Stationary and Dynamical Properties

Content Provider	Springer Nature Link
Author	Großkinsky, Stefan Schütz, Gunter M. Spohn, Herbert
Copyright Year	2003
Abstract	The zero range process is of particular importance as a generic model for domain wall dynamics of one-dimensional systems far from equilibrium. We study this process in one dimension with rates which induce an effective attraction between particles. We rigorously prove that for the stationary probability measure there is a background phase at some critical density and for large system size essentially all excess particles accumulate at a single, randomly located site. Using random walk arguments supported by Monte Carlo simulations, we also study the dynamics of the clustering process with particular attention to the difference between symmetric and asymmetric jump rates. For the late stage of the clustering we derive an effective master equation, governing the occupation number at clustering sites.
Starting Page	389
Ending Page	410
Page Count	22
File Format	PDF
ISSN	00224715
Journal	Journal of Statistical Physics
Volume Number	113
Issue Number	3-4
e-ISSN	15729613
Language	English
Publisher	Kluwer Academic Publishers-Plenum Publishers
Publisher Date	2003-01-01
Publisher Place	New York
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Physical Chemistry Quantum Physics Mathematical and Computational Physics Statistical Physics
Content Type	Text
Resource Type	Article
Subject	Statistical and Nonlinear Physics Mathematical Physics

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Condensation in the Zero Range Process: Stationary and Dynamical Properties