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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.)

Transient superdiffusion in random walks with a q-exponentially decaying memory profile

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Author(s):
Moura, Thiago R. S. [1] ; Viswanathan, G. M. [1, 2] ; da Silva, M. A. A. [3] ; Cressoni, J. C. [3] ; da Silva, L. R. [1, 2]
Total Authors: 5
Affiliation:
[1] Univ Fed Rio Grande do Norte, Dept Fis Teor & Expt, BR-59078900 Natal, RN - Brazil
[2] Univ Fed Rio Grande do Norte, Natl Inst Sci & Technol Complex Syst, BR-59078900 Natal, RN - Brazil
[3] Univ Sao Paulo, FCFRP, Dept Fis & Quim, BR-14040903 Ribeirao Preto, SP - Brazil
Total Affiliations: 3
Document type: Journal article
Source: PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS; v. 453, p. 259-263, JUL 1 2016.
Web of Science Citations: 2
Abstract

We propose a random walk model with q-exponentially decaying memory profile. The q-exponential function is a generalization of the ordinary exponential function. In the limit q -> 1, the q-exponential becomes the ordinary exponential function. This model presents a Markovian diffusive regime that is characterized by finite memory correlations. It is well known, that central limit theorems prohibit superdiffusion for Markovian walks with finite variance of step sizes. In this problem we report the outcome of a transient superdiffusion for finite sized walks. (C) 2016 Elsevier B.V. All rights reserved. (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