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Criterion for phase separation in one-dimensional driven systems

Y. Kafri·E. Levine·D. Mukamel·G. M. Schutz·J. Torok
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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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Y. Kafri, E. Levine, D. Mukamel, G. M. Schutz, J. Torok. 2002-06-27. Criterion for phase separation in one-dimensional driven systems. https://doi.org/10.1103/physrevlett.89.035702

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