Hydrodynamical Behavior for the Symmetric Simple Partial Exclusion with Open Boundary

نویسندگان

چکیده

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 $\theta\in\mathbb R$. prove that hydrodynamic behavior given heat equation depending on value of $\theta$, supplemented different boundary conditions. Setting $\alpha = 1$ find results known [1] for simple process.

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ژورنال

عنوان ژورنال: Mathematical Physics Analysis and Geometry

سال: 2023

ISSN: ['1572-9656', '1385-0172']

DOI: https://doi.org/10.1007/s11040-023-09446-9