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Criterion for phase separation in one-dimensional driven systems

Y. Kafri, E. Levine, D. Mukamel, G. M. Schutz, J. Torok

cond-mat.stat-mecharXiv:cond-mat/0204319

Abstract

A general criterion for the existence of phase separation in driven one-dimensional systems is proposed. It is suggested that phase separation is related to the size dependence of the steady-state currents of domains in the system. A quantitative criterion for the existence of phase separation is conjectured using a correspondence made between driven diffusive models and zero-range processes. Several driven diffusive models are discussed in light of the conjecture.

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