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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Superdiffusion driven by exponentially decaying memory

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Author(s):
Alves, G. A. [1, 2] ; de Araujo, J. M. [1] ; Cressoni, J. C. [3, 4] ; da Silva, L. R. [1] ; da Silva, M. A. A. [3] ; Viswanathan, G. M. [1]
Total Authors: 6
Affiliation:
[1] Univ Fed Rio Grande do Norte, Dept Fis Teor & Expt, BR-59078900 Natal, RN - Brazil
[2] Univ Estadual Piaui, Dept Fis, BR-64002150 Teresina, Piaui - Brazil
[3] Univ Sao Paulo, FCFRP, Dept Quim & Fis, BR-14040903 Ribeirao Preto, SP - Brazil
[4] Univ Fed Alagoas, Inst Fis, BR-57072970 Maceio, Alagoas - Brazil
Total Affiliations: 4
Document type: Journal article
Source: JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT; APR 2014.
Web of Science Citations: 4
Abstract

A superdiffusive random walk model with exponentially decaying memory is r(reported. This seems to be a self-contradictory statement, since it is well known that random walks with exponentially decaying temporal correlations can be approximated arbitrarily well by Markov processes and that central limit theorems prohibit, superdiffusion for Markovian walks with finite variance of step sizes. The solution to the apparent paradox is that the model is genuinely non-Markovian, due to a time-dependent decay constant associated with the exponential behavior. (AU)

FAPESP's process: 11/06757-0 - Diffusive processes: random walkers with memory
Grantee:Marco Antonio Alves da Silva
Support type: Regular Research Grants
FAPESP's process: 11/13685-6 - Analytical and computational modelling of diffusive systems
Grantee:Marco Antonio Alves da Silva
Support type: Research Grants - Visiting Researcher Grant - Brazil