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Type: Artigo de periódico
Title: Ergodic transitions in continuous-time random walks
Author: Saa, A
Venegeroles, R
Abstract: We consider continuous-time random walk models described by arbitrary sojourn time probability density functions. We find a general expression for the distribution of time-averaged observables for such systems, generalizing some recent results presented in the literature. For the case where sojourn times are identically distributed independent random variables, our results shed some light on the recently proposed transitions between ergodic and weakly nonergodic regimes. On the other hand, for the case of nonidentical trapping time densities over the lattice points, the distribution of time-averaged observables reveals that such systems are typically nonergodic, in agreement with some recent experimental evidences on the statistics of blinking quantum dots. Some explicit examples are considered in detail. Our results are independent of the lattice topology and dimensionality.
Country: EUA
Editor: Amer Physical Soc
Citation: Physical Review E. Amer Physical Soc, v. 82, n. 3, 2010.
Rights: aberto
Identifier DOI: 10.1103/PhysRevE.82.031110
Date Issue: 2010
Appears in Collections:Unicamp - Artigos e Outros Documentos

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