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Nonequilibrium Criticality at Shock Formation in Steady States

Sutapa Mukherji, Somendra M. Bhattacharjee

cond-mat.stat-mecharXiv:cond-mat/0408563

Abstract

The steady state shock formation in processes like nonconserving asymmetric simple exclusion processes in varied situations is shown to be a nonequilibrium critical phenomenon. The diverging length scales and the quantitative description of the transition including the phase boundary are obtained from a few general properties of the dynamics without relying on specific details.

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