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Disorder and non-conservation in a driven diffusive system

Presented by: 
M Evans [Edinburgh]
Thursday 12th January 2006 - 16:10 to 17:00
INI Seminar Room 1

The asymmetric exclusion process is a prototypical driven diffusive system. I will discuss a disordered version of the model in which randomly chosen sites do not conserve particle number. The model is motivated by features of many interacting molecular motors such as RNA polymerases. I will discuss the appearance of Griffiths singularities in a nonequilibrium steady state despite the absence of any transition in the pure model. The disorder is also shown to induce a stretched exponential decay of system density with stretching exponent \phi= 2/5.

University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons