Lee-Yang zeros and phase transitions in nonequilibrium steady states

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Abstract

We consider how the Lee-Yang description of phase transitions in terms of partition function zeros applies to nonequilibrium systems. Here, one does not have a partition function; instead we consider the zeros of a steady-state normalization factor in the complex plane of the transition rates. We obtain the exact distribution of zeros in the thermodynamic limit for a specific model, the boundary-driven asymmetric simple exclusion process. We show that the distributions of zeros at the first- and the second-order nonequilibrium phase transitions of this model follow the patterns known in the Lee-Yang equilibrium theory.

Original languageEnglish
Article number080601
Pages (from-to)-
Number of pages4
JournalPhysical Review Letters
Volume89
Issue number8
DOIs
Publication statusPublished - 19 Aug 2002

Keywords

  • EXCLUSION PROCESS
  • MODEL
  • SYSTEMS

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