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Non-equilibrium stationary properties of the boundary driven zero-range process with long jumps
Cédric Bernardin, Patricia Gonçalves, Byron Oviedo-Jiménez, Stef · 2022-01-19 · via math.PR updates on arXiv.org

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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