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| Full text | |
| 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 Opportunities: | Regular Research Grants |
| FAPESP's process: | 11/13685-6 - Analytical and computational modelling of diffusive systems |
| Grantee: | Marco Antonio Alves da Silva |
| Support Opportunities: | Research Grants - Visiting Researcher Grant - Brazil |