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Updated: Mar 22, 2026

The Diffusion of Passive Tracers in Laminar Shear Flow
Published on: May 1, 2018
Local structure of current fluctuations in diffusive systems beyond one dimension
Rodrigo Villavicencio-Sanchez1,2, Rosemary J Harris1
1School of Mathematical Sciences, Queen Mary University of London, London E1 4NS, United Kingdom.
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 nonequilibrium 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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