Current fluctuations in boundary driven diffusive systems in different dimensions: a numerical study
arXiv:1502.07559 · doi:10.1088/1367-2630/17/5/055023
Abstract
We use kinetic Monte Carlo simulations to investigate current fluctuations in boundary driven generalized exclusion processes, in different dimensions. Simulation results are in full agreement with predictions based on the additivity principle and the macroscopic fluctuation theory. The current statistics are independent of the shape of the contacts with the reservoirs, provided they are macroscopic in size. In general, the current distribution depends on the spatial dimension. For the special cases of the symmetric simple exclusion process and the zero-range process, the current statistics are the same for all spatial dimensions.
21 pages, 11 figures, published version
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- Weak additivity principle for current statistics in d-dimensions
- Large deviations of current for the symmetric simple exclusion process on a semi-infinite line, and on an infinite line with a slow bond
- Infinite family of universal profiles for heat current statistics in Fourier's law
- Structure of the optimal path to a fluctuation