HYDROSTATIC LIMIT FOR THE SYMMETRIC EXCLUSION PROCESS WITH LONG JUMPS: SUPER-DIFFUSIVE CASE
2020 ◽
Vol 28
(1)
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pp. 79-94
Keyword(s):
The One
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Hydrostatic behavior for the one dimensional exclusion process with long jumps in contact with infinite reservoirs at different densities are derived. The jump rate is described by a transition probability $p$ which is proportional to $\vert \cdot\vert ^{-(\gamma +1)}$ for $1<\gamma<2$ (super-diffusive case). The reservoirs add or remove particles with rate proportional to $ \kappa>0$.