Large deviations in the symmetric simple exclusion process with slow boundaries: A hydrodynamic perspective
We revisit the one-dimensional model of the symmetric simple exclusion process slowly
coupled with two unequal reservoirs at the boundaries. In its non-equilibrium stationary …
coupled with two unequal reservoirs at the boundaries. In its non-equilibrium stationary …
Hydrodynamics for the ABC model with slow/fast boundary
In this article, we consider the ABC model in contact with slow/fast reservoirs. In this model,
there is one particle per site, which can be of type α∈{A, B, C} and particles exchange …
there is one particle per site, which can be of type α∈{A, B, C} and particles exchange …
Large Deviations for the SSEP with slow boundary: the non-critical case
We prove a large deviations principle for the empirical measure of the one dimensional
symmetric simple exclusion process in contact with reservoirs. The dynamics of the …
symmetric simple exclusion process in contact with reservoirs. The dynamics of the …
Large Deviations in the Symmetric Simple Exclusion Process with Slow Boundaries: A Hydrodynamic Approach
We revisit the one-dimensional model of the symmetric simple exclusion process slowly
coupled with two unequal reservoirs at the boundaries. In its non-equilibrium stationary …
coupled with two unequal reservoirs at the boundaries. In its non-equilibrium stationary …
Dynamical large deviations for boundary driven gradient symmetric exclusion processes in mild contact with reservoirs
A Bouley, C Landim - Journal of Statistical Physics, 2024 - Springer
We consider a one-dimensional gradient symmetric exclusion process in mild contact with
boundary reservoirs. The hydrodynamic limit of the empirical measure is given by a non …
boundary reservoirs. The hydrodynamic limit of the empirical measure is given by a non …
Hydrodynamic limit of the multi-component slow boundary WASEP with collisions
O Araújo, P Gonçalves, AB Simas - arXiv preprint arXiv:2304.03634, 2023 - arxiv.org
In this article, we study the hydrodynamic limit for a stochastic interacting particle system
whose dynamics consists in a superposition of several dynamics: the exclusion rule, that …
whose dynamics consists in a superposition of several dynamics: the exclusion rule, that …
Exclusion processes with non-reversible boundary: hydrodynamics and large deviations
C Landim, JP Mangi, B Salvador - arXiv preprint arXiv:2411.17653, 2024 - arxiv.org
We consider a one-dimensional exclusion dynamics in mild contact with boundary
reservoirs. In the diffusive scale, the particles' density evolves as the solution of the heat …
reservoirs. In the diffusive scale, the particles' density evolves as the solution of the heat …