Pré-Publication, Document De Travail Année : 2022

Hydrodynamic limit for a boundary driven super-diffusive symmetric exclusion

Résumé

We study the hydrodynamic limit for a model of symmetric exclusion processes with long jumps heavy-tailed and in contact with infinitely extended reservoirs. We show how the corresponding hydrodynamic equations are affected by the parameters defining the model. The hydrodynamic equations are characterized by a class of super-diffusive operators that are given by the regional fractional Laplacian with some additional reaction terms and various boundary conditions. This work solves some questions left open in \cite{BJGO2} about the same model.

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Dates et versions

hal-02884549 , version 1 (18-06-2021)
hal-02884549 , version 2 (24-06-2022)

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Cédric Bernardin, Pedro Cardoso, Patrícia Gonçalves, Stefano Scotta. Hydrodynamic limit for a boundary driven super-diffusive symmetric exclusion. 2022. ⟨hal-02884549v2⟩
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