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Critical properties of a randomly driven diffusive system

1991; American Physical Society; Volume: 66; Issue: 3 Linguagem: Inglês

10.1103/physrevlett.66.357

1092-0145

B. Schmittmann, Rukhsana Zia,

Stochastic processes and statistical mechanics

We consider a system of interacting particles, diffusing under the influence of both thermal noise and a random, external electric field which acts in a subspace of m dimensions. In the nonequilibrium steady state, the net current is zero. When the interparticle interaction is short ranged and attractive, a second-order phase transition is expected. Analyzing this system in field-theoretic terms, we find the upper critical dimension to be 4-m and its behavior to fall outside the universality classes of the equilibrium Ising model and the usual driven diffusive system. A new fixed point and critical exponents are computed.