Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/24539
Título: | Phase transition in equilibrium fluctuations of symmetric slowed exclusion |
Autor(es): | Franco, Tertuliano Gonçalves, Patrícia Neumann, Adrian |
Palavras-chave: | Equilibrium fluctuations Slowed exclusion Phase transition |
Data: | 2013 |
Editora: | Elsevier 1 |
Revista: | Stochastic processes and their applications |
Resumo(s): | We analyze the equilibrium fluctuations of density, current and tagged particle in symmetric exclusion with a slow bond. The system evolves in the one-dimensional lattice and the jump rate is everywhere equal to one except at the slow bond where it is $\alpha n^-\beta$, with $\alpha,\beta\geq{0}$ and $n$ is the scaling parameter. Depending on the regime of $\beta$, we find three different behaviors for the limiting fluctuations whose covariances are explicitly computed. In particular, for the critical value $\beta=1$, starting a tagged particle near the slow bond, we obtain a family of gaussian processes indexed in $\alpha$, interpolating a fractional brownian motion of Hurst exponent $1/4$ and the degenerate process equal to zero. |
Tipo: | Artigo |
URI: | https://hdl.handle.net/1822/24539 |
DOI: | 10.1016/j.spa.2013.06.016 |
ISSN: | 0304-4149 |
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 | |
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finalversion.pdf | Documento Principal | 177,53 kB | Adobe PDF | Ver/Abrir |