Autor(es):
Gonçalves, Patrícia 
Data: 2010
Identificador Persistente: http://hdl.handle.net/1822/11586
Origem: RepositóriUM - Universidade do Minho
Assunto(s): Totally asymmetric zero-range; fluctuations
Detalhes do Documento
Equilibrium fluctuations for the totally asymmetric zero-range process
Descrição
We consider the one-dimensional Totally Asymmetric Zero-Range process evolving on $\mathbb{Z}$ and starting from the Geometric product measure $\mu_\rho$. On the hyperbolic time scale the temporal evolution of the density fluctuation field is deterministic, in the sense that the limit field at time $t$ is a translation of the initial one. We consider the system in a reference frame moving at this velocity and we show that the limit density fluctuation field does not evolve in time until $N^{4/3}$, which implies the current across a characteristic to vanish on this longer time scale.
We consider the one-dimensional Totally Asymmetric Zero-Range process evolving on $\mathbb{Z}$ and starting from the Geometric product measure $\mu_\rho$. On the hyperbolic time scale the temporal evolution of the density fluctuation field is deterministic, in the sense that the limit field at time $t$ is a translation of the initial one. We consider the system in a reference frame moving at this velocity and we show that the limit density fluctuation field does not evolve in time until $N^{4/3}$, which implies the current across a characteristic to vanish on this longer time scale.
Tipo de Documento
Artigo
Idioma Inglês
Idioma Inglês
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