Symbolic Sequences and Tsallis Entropy

被引：5

作者：

Ribeiro, H. V. ^{[1
,2
]}

Lenzi, E. K. ^{[1
,2
]}

Mendes, R. S. ^{[1
,2
]}

Mendes, G. A. ^{[3
,4
]}

da Silva, L. R. ^{[3
,4
]}

机构：

[1] Univ Estadual Maringa, Dept Fis, BR-87020900 Maringa, Parana, Brazil

[2] Univ Estadual Maringa, Natl Inst Sci & Technol Complex Syst, BR-87020900 Maringa, Parana, Brazil

[3] Univ Fed Rio Grande do Norte, Dept Fis, BR-59072970 Natal, RN, Brazil

[4] Univ Fed Rio Grande do Norte, Natl Inst Sci & Technol Complex Syst, BR-59072970 Natal, RN, Brazil

来源：

BRAZILIAN JOURNAL OF PHYSICS | 2009年 / 39卷 / 2A期

关键词：

Symbolic sequences; Long-range correlations; Tsallis entropy; Non-usual diffusion; LONG-RANGE CORRELATIONS; DYNAMICS;

D O I：

10.1590/S0103-97332009000400018

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We address this work to investigate symbolic sequences with long-range correlations by using computational simulation. We analyze sequences with two, three and four symbols that could be repeated l times, with the probability distribution p(l) proportional to 1/l(mu). For these sequences, we verified that the usual entropy increases more slowly when the symbols are correlated and the Tsallis entropy exhibits, for a suitable choice of q, a linear behavior. We also study the chain as a random walk-like process and observe a nonusual diffusive behavior depending on the values of the parameter mu.

引用

页码：444 / 447

页数：4

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