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Mass condensation in one dimension with pair-factorized steady states

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Original languageEnglish
Article numberP10021
Pages (from-to)-
Number of pages29
Journal Journal of Statistical Mechanics: Theory and Experiment
DOIs
Publication statusPublished - Oct 2009

Abstract

We consider stochastic rules of mass transport which lead to steady states that factorize over the links of a one-dimensional ring. Based on the knowledge of the steady states, we derive the onset of a phase transition from a liquid to a condensed phase that is characterized by the existence of a condensate. For various types of weight functions which enter the hopping rates, we determine the shape of the condensate, its scaling with the system size, and the single-site mass distribution as characteristic static properties. As it turns out, the condensate's shape and its scaling are not universal, but depend on the competition between local and ultralocal interactions. So we can tune the shape from a delta-like envelope to a parabolic-like or a rectangular one. While we treat the liquid phase in the grand-canonical formalism, we develop a different analytical approach for the condensed phase. Its predictions are well confirmed by numerical simulations. Possible extensions to higher dimensions are indicated.

    Research areas

  • driven diffusive systems (theory), transport processes/heat transfer (theory), stationary states, large deviations in non-equilibrium systems, FORCE FLUCTUATIONS, PHASE-TRANSITIONS, TRANSPORT MODELS, BEAD PACKS, SYSTEMS, PHYSICS

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