Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/16881
Título: | Hydrodynamical behavior of symmetric exclusion with slow bonds |
Autor(es): | Franco, Tertuliano Gonçalves, Patrícia Neumann, Adriana |
Palavras-chave: | Exclusion with slow bonds Hydrodynamical behavior Dynamical phase transition Hydrodynamic limit Exclusion process Slow bonds |
Data: | 2013 |
Editora: | Elsevier 1 |
Revista: | Annales de l'Institut Henri Poincaré. B, Probabilités et Statistiques |
Resumo(s): | We consider the exclusion process in the one-dimensional discrete torus with $N$ points, where all the bonds have conductance one, except a finite number of slow bonds, with conductance $N^{-\beta}$, with $\beta\in[0,\infty)$. We prove that the time evolution of the empirical density of particles, in the diffusive scaling, has a distinct behavior according to the range of the parameter $\beta$. If $\beta\in [0,1)$, the hydrodynamic limit is given by the usual heat equation. If $\beta=1$, it is given by a parabolic equation involving an operator $\frac{d}{dx}\frac{d}{dW}$, where $W$ is the Lebesgue measure on the torus plus the sum of the Dirac measure supported on each macroscopic point related to the slow bond. If $\beta\in(1,\infty)$, it is given by the heat equation with Neumann's boundary conditions, meaning no passage through the slow bonds in the continuum. |
Tipo: | Artigo |
URI: | https://hdl.handle.net/1822/16881 |
DOI: | 10.1214/11-AIHP445 |
ISSN: | 0246-0203 |
Versão da editora: | http://www.e-publications.org/ims/submission/index.php/AIHP/user/submissionFile/9315?confirm=1e8d3afe |
Arbitragem científica: | yes |
Acesso: | Acesso aberto |
Aparece nas coleções: | CMAT - Artigos em revistas com arbitragem / Papers in peer review journals |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
---|---|---|---|---|
fgn.pdf | Documento principal | 331,75 kB | Adobe PDF | Ver/Abrir |