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arXiv · 2201.07573

Non-equilibrium stationary properties of the boundary driven zero-range process with long jumps

Cédric Bernardin·Patricia Gonçalves·Byron Oviedo-Jiménez·Stefano Scotta
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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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Cédric Bernardin, Patricia Gonçalves, Byron Oviedo-Jiménez, Stefano Scotta. 2022-01-19. Non-equilibrium stationary properties of the boundary driven zero-range process with long jumps. https://doi.org/10.1007/s10955-022-02987-3

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