Nonequilibrium phase transition in a non integrable zero-range process

Details Nonequilibrium phase transition in a non integrable zero-range process Nonequilibrium phase transition in a non integrable zero-range process

2006-03-09

arxiv.org/abs/cond-mat/0603249v1

J. Phys. A 39 (2006) 9055

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1088/0305-4470/39/29/003

The present work is an endeavour to determine analytically features of the stationary measure of a non-integrable zero-range process, and to investigate the possible existence of phase transitions for such a nonequilibrium model. The rates defining the model do not satisfy the constraints necessary for the stationary measure to be a product measure. Even in the absence of a drive, detailed balance with respect to this measure is violated. Analytical and numerical investigations on the complete graph demonstrate the existence of a first-order phase transition between a fluid phase and a condensed phase, where a single site has macroscopic occupation. The transition is sudden from an imbalanced fluid where both species have densities larger than the critical density, to a critical neutral fluid and an imbalanced condensate.

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