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Preprints, Working Papers, ... Year : 2023

Quasi-potential for the one dimensional SSEP in weak contact with reservoirs

Abstract

We derive a formula for the quasi-potential of one-dimensional symmetric exclusion process in weak contact with reservoirs. The interaction with the boundary is so weak that, in the diffusive scale, the density profile evolves as the one of the exclusion process with reflecting boundary conditions. In order to observe an evolution of the total mass, the process has to be observed in a longer time-scale, in which the density profile becomes immediately constant.
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Dates and versions

hal-04193546 , version 1 (01-09-2023)
hal-04193546 , version 2 (03-05-2024)

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Claudio Landim, Sonia Velasco. Quasi-potential for the one dimensional SSEP in weak contact with reservoirs. 2024. ⟨hal-04193546v2⟩
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