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

Claudio Landim and Sonia Velasco

Stochastic Processes and their Applications, 2024, vol. 177, issue C

Abstract: We derive a formula for the quasi-potential of the 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.

Keywords: Boundary driven exclusion process; Large deviations; Quasi-potential; Macroscopic fluctuation theory (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1016/j.spa.2024.104444

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