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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.)

Anomalous diffusion in non-Markovian walks having amnestically induced persistence

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Author(s):
Ferreira, A. S. [1] ; Cressoni, J. C. [1] ; Viswanathan, G. M. [2, 3] ; Alves da Silva, Marco Antonio [4]
Total Authors: 4
Affiliation:
[1] Univ Fed Alagoas, Inst Fis, BR-57072970 Maceio, AL - Brazil
[2] Univ New Mexico, Dept Phys & Astron, Albuquerque, NM 87131 - USA
[3] Univ New Mexico, Consortium Amer Interdisciplinary Sci, Albuquerque, NM 87131 - USA
[4] Univ Sao Paulo, BR-14040903 Ribeirao Preto, SP - Brazil
Total Affiliations: 4
Document type: Journal article
Source: Physical Review E; v. 81, n. 1, 1 JAN 2010.
Web of Science Citations: 12
Abstract

We report numerically and analytically estimated values for the Hurst exponent for a recently proposed non-Markovian walk characterized by amnestically induced persistence. These results are consistent with earlier studies showing that log-periodic oscillations arise only for large memory losses of the recent past. We also report numerical estimates of the Hurst exponent for non-Markovian walks with diluted memory. Finally, we study walks with a fractal memory of the past for a Thue-Morse and Fibonacci memory patterns. These results are interpreted and discussed in the context of the necessary and sufficient conditions for the central limit theorem to hold. (AU)

FAPESP's process: 07/04220-4 - Diffusion and aggregation process in biological physics: prionic diseases and random walks with memory
Grantee:Marco Antonio Alves da Silva
Support type: Regular Research Grants