Bernardln, CedricGoncalves, PatriciaJiménez Oviedo, ByronScotta, Stefano2024-11-112024-11-112022https://hdl.handle.net/11056/29411We consider the zero-range process with long jumps and in contact with infinitely extended reservoirs in its non-equilibrium stationary state. We derive the hydrostatic limit and the Fick’s law, which are a consequence of a static 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.Acceso abiertoAttribution-NonCommercial-ShareAlike 4.0 Internationalhttp://creativecommons.org/licenses/by-nc-sa/4.0/HYDROSTATICSFREE ENERGYPHYSICSQUANTUM PHYSICSMATHEMATICALCOMPUTATIONAL PHYSICShttp://purl.org/coar/resource_type/c_650110.1007/s10955-022-02987-3