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Disorder and non-conservation in a driven diffusive system

Evans, M (Edinburgh)
Thursday 12 January 2006, 16:10-17:00

Seminar Room 1, Newton Institute


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.


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