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arXiv · 2201.10241

Hydrodynamical behavior for the generalized symmetric exclusion with open boundary

Chiara Franceschini·Patrícia Gonçalves·Beatriz Salvador
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Abstract

We analyze the generalized symmetric exclusion process, which allows at most $\alpha$ particles per site, and we put it in contact with stochastic reservoirs whose strength is regulated by a parameter $\theta\in\mathbb R$. We prove that the hydrodynamic behavior is given by the heat equation and depending on the value of $\theta$, the equation is supplemented with different boundary conditions. Setting $\alpha = 1$ we find the results known in [1] for the symmetric simple exclusion process.

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Chiara Franceschini, Patrícia Gonçalves, Beatriz Salvador. 2022-01-25. Hydrodynamical behavior for the generalized symmetric exclusion with open boundary. https://doi.org/10.1007/s11040-023-09446-9

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