Dynamics of a Disordered, Driven Zero-Range Process in One Dimension
نویسندگان
چکیده
منابع مشابه
Coarsening dynamics in a two-species zero-range process.
We consider a zero-range process with two species of interacting particles. The steady-state phase diagram of this model shows a variety of condensate phases in which a single site contains a finite fraction of all the particles in the system. Starting from a homogeneous initial distribution, we study the coarsening dynamics in each of these condensate phases, which is expected to follow a scal...
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Collective phenomena are present in several models of interacting particle systems; see e.g. [4, 11, 16, 17]. They are described by macroscopic equations and their appearance is usually, but not necessarily (cf. [12]) a consequence of certain good "ergodic" properties of the time evolution. One such condition, at least for mean field interactions, is the so-called propagation of chaos [3, 8, 10...
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The dynamics of a class of zero-range processes exhibiting a condensation transition in the stationary state is studied. The system evolves in time starting from a random disordered initial condition. The analytical study of the large-time behaviour of the system in its mean-field geometry provides a guide for the numerical study of the one-dimensional version of the model. Most qualitative fea...
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1. Introduction The zero-range process (ZRP) [1] is a simple lattice-based model for driven diffusive systems. For certain choices of parameters, the model exhibits a condensation transition (analogous to Bose-Einstein condensation) where a macroscopic proportion of particles accumulate on a single site [2]. Condensation is well-known in colloidal and granular systems [3] and also occurs in a v...
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ژورنال
عنوان ژورنال: Physical Review Letters
سال: 2003
ISSN: 0031-9007,1079-7114
DOI: 10.1103/physrevlett.91.135701