期刊
JOURNAL OF STATISTICAL PHYSICS
卷 189, 期 3, 页码 -出版社
SPRINGER
DOI: 10.1007/s10955-022-02987-3
关键词
Fick's law; Hydrostatics; Zero-range; Exclusion; Long-jumps; Infinitely extended reservoirs
资金
- French National Research Agency (ANR) [LSD ANR-15-CE40-0020-01]
- Universidad Nacional de Costa Rica [0497-18]
- FCT/Portugal [UIDB/04459/2020, UIDP/04459/2020]
- European Research Council (ERC) under the European Union [715734]
This paper investigates the non-equilibrium stationary state of the zero-range process with long jumps and in contact with infinitely extended reservoirs. The hydrostatic limit, Fick's law, and the large deviation principle for the empirical density are derived.
We 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.
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