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Phase transition in a non-conserving driven diffusive system

M. R. Evans·Y. Kafri·E. Levine·D. Mukamel
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Abstract

An asymmetric exclusion process comprising positive particles, negative particles and vacancies is introduced. The model is defined on a ring and the dynamics does not conserve the number of particles. We solve the steady state exactly and show that it can exhibit a continuous phase transition in which the density of vacancies decreases to zero. The model has no absorbing state and furnishes an example of a one-dimensional phase transition in a homogeneous non-conserving system which does not belong to the absorbing state universality classes.

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M. R. Evans, Y. Kafri, E. Levine, D. Mukamel. 2002-04-24. Phase transition in a non-conserving driven diffusive system. https://doi.org/10.1088/0305-4470%2F35%2F29%2F101

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