Vortices in the two-dimensional Simple Exclusion Process

Details Vortices in the two-dimensional Simple Exclusion Process Vortices in the two-dimensional Simple Exclusion Process

2007-09-04

arxiv.org/abs/0709.0444v2

Physics

Condensed Matter

Statistical Mechanics

Revised version to appear in Journal of Statistical Physics. Minor corrections

Scientific paper

10.1007/s10955-008-9518-y

We show that the fluctuations of the partial current in two dimensional diffusive systems are dominated by vortices leading to a different scaling from the one predicted by the hydrodynamic large deviation theory. This is supported by exact computations of the variance of partial current fluctuations for the symmetric simple exclusion process on general graphs. On a two-dimensional torus, our exact expressions are compared to the results of numerical simulations. They confirm the logarithmic dependence on the system size of the fluctuations of the partialflux. The impact of the vortices on the validity of the fluctuation relation for partial currents is also discussed.

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