Non-equilibrium stationary properties of the boundary driven zero-range process with long jumps
arXiv:2201.07573 · doi:10.1007/s10955-022-02987-3
Abstract
We consider the zero-range process with long jumps and in contact with infinitely many reservoirs in its non-equilibrium stationary state. We derive the hydrostatic limit and the Fick's law, which are a consequence of a relationship between the exclusion process and the zero-range process. We also obtain the large deviation principle for the empirical density, i.e. we compute the non-equilibrium free energy.
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