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arXiv · 1508.07945

Local structure of current fluctuations in diffusive systems beyond one dimension

Rodrigo Villavicencio-Sanchez·Rosemary J. Harris
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Abstract

In order to illuminate the properties of current fluctuations in more than one dimension, we use a lattice-based Markov process driven into a non-equilibrium steady state. Specifically, we perform a detailed study of the particle current fluctuations in a two-dimensional zero-range process with open boundary conditions and probe the influence of the underlying geometry by comparing results from a square and a triangular lattice. Moreover, we examine the structure of local currents corresponding to a given global current fluctuation and comment on the role of spatial inhomogeneities for the discrepancies observed in testing some recent fluctuation symmetries.

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Rodrigo Villavicencio-Sanchez, Rosemary J. Harris. 2016-03-18. Local structure of current fluctuations in diffusive systems beyond one dimension. https://doi.org/10.1103/physreve.93.032134

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