FRACTAL RANDOM-WALKS FROM A VARIATIONAL FORMALISM FOR TSALLIS ENTROPIES

被引:147
作者
ALEMANY, PA [1 ]
ZANETTE, DH [1 ]
机构
[1] UNIV NACL CUYO,INST BALSEIRO,RA-8400 BARILOCHE,RIO NEGRO,ARGENTINA
来源
PHYSICAL REVIEW E | 1994年 / 49卷 / 02期
关键词
D O I
10.1103/PhysRevE.49.R956
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
It is shown that random walks in which the set of visited points is a fractal emerge from a maximum entropy formalism applied to the generalized entropies introduced by Tsallis [J. Stat. Phys. 52, 479 (1988)], upon suitable constraints. This connection between fractals and Tsallis entropies suggests that the generalized statistical mechanics derived from the latter could provide a natural frame for studying fractally structured systems.
引用
收藏
页码:R956 / R958
页数:3
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