Dynamical large deviations for the boundary driven symmetric exclusion process with Robin boundary conditions

In this article, we consider a one-dimensional symmetric exclusion process in weak contact with reservoirs at the boundary. In the diffusive time-scaling the empirical measure evolves according to the heat equation with Robin boundary conditions. We prove the associated dynamical large deviations pr...

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Detalhes bibliográficos
Autores: Franco, Tertuliano Franco Santos, Gonçalves, Patrícia, Oliveira, Adriana Neumann de, Landim, Claudio
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2022
País:Brasil
Recursos:Universidade Federal do Rio Grande do Sul (UFRGS)
Repositorio:Repositório Institucional da UFRGS
Idioma:inglés
OAI Identifier:oai:www.lume.ufrgs.br:10183/252578
Acesso em linha:http://hdl.handle.net/10183/252578
Access Level:acceso abierto
Palavra-chave:Propriedades termodinâmicas
Equilíbrio estacionário
Stationary nonequilibrium states
Descrição
Resumo:In this article, we consider a one-dimensional symmetric exclusion process in weak contact with reservoirs at the boundary. In the diffusive time-scaling the empirical measure evolves according to the heat equation with Robin boundary conditions. We prove the associated dynamical large deviations principle.