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.
Highlights
A system connected to two particle reservoirs at different densities relaxes to a nonequilibrium steady state (NSS), with a particle current flowing through it
The analytical prediction was tested by numerically calculating the ratio of the first two cumulants, called the Fano factor, for the symmetric simple exclusion process (SSEP)
We have studied numerically current fluctuations in the SSEP and a generalized exclusion processes (GEPs)
Summary
Current fluctuations in boundary driven diffusive systems in different dimensions: a numerical study. We use kinetic Monte Carlo simulations to investigate current fluctuations in boundary driven licence. Simulation results are in full agreement with. Any further distribution of this work must maintain predictions based on the additivity principle and the macroscopic fluctuation theory. The current attribution to the statistics are independent of the shape of the contacts with the reservoirs, provided they are author(s) and the title of the work, journal citation macroscopic in size. The current distribution depends on the spatial dimension. Special cases of the symmetric simple exclusion process and the zero-range process, the current statistics are the same for all spatial dimensions
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