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Anomalous diffusion in non-Markovian walks having amnestically induced persistence

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Autor(es):
Ferreira, A. S. ; Cressoni, J. C. ; Viswanathan, G. M. ; Alves da Silva, Marco Antonio
Número total de Autores: 4
Tipo de documento: Artigo Científico
Fonte: Physical Review E; v. 81, n. 1, p. 7-pg., 2010-01-01.
Resumo

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)

Processo FAPESP: 07/04220-4 - Processo de difusão e agregação em física biológica: doenças priônicas e passeios aleatórios com memória
Beneficiário:Marco Antonio Alves da Silva
Modalidade de apoio: Auxílio à Pesquisa - Regular