Exclusion processes with non-reversible boundary: hydrodynamics and large deviations

Autor:	Landim, Claudio, Mangi, João Pedro, Salvador, Beatriz
Rok vydání:	2024
Předmět:	Mathematics - Probability Mathematical Physics 60J27 60K35 82C22 60F10 60F17
Druh dokumentu:	Working Paper
Popis:	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 equation with non-linear Robin boundary conditions. For appropriate choices of the boundary rates, these partial differential equations have more than one stationary solution. We prove the dynamical large deviations principle. Comment: 44 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2411.17653 Zobrazit plný text záznamu View this record from Arxiv