Lee-Yang zeros and phase transitions in nonequilibrium steady states

Details Lee-Yang zeros and phase transitions in nonequilibrium steady states Lee-Yang zeros and phase transitions in nonequilibrium steady states

2002-04-19

arxiv.org/abs/cond-mat/0204421v2

Phys. Rev. Lett. 89, 080601 (2002)

Physics

Condensed Matter

Statistical Mechanics

4 pages RevTeX4 with 4 figures; revised version to appear in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.89.080601

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 second order nonequilibrium phase transitions of this model follow the patterns known in the Lee-Yang equilibrium theory.

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