Nonextensive thermostatistics and fractals

被引：92

作者：

Tsallis, C

机构：

[1] MICHIGAN STATE UNIV, CTR FUNDAMENTAL MAT RES, E LANSING, MI 48824 USA

[2] CTR BRASILEIRO PESQUISAS FIS, BR-22290180 RIO DE JANEIRO, BRAZIL

来源：

FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY | 1995年 / 3卷 / 03期

关键词：

D O I：

10.1142/S0218348X95000473

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We discuss the modifications of standard, extensive, thermodynamics that long-range interactions are expected to introduce. In addition to that, by using the generalized entropic form S-q = k 1-Sigma(i)p(i)(q)/q-1 (q is an element of R; q = 1 corresponds to the standard entropy S-1 = -k(B) Sigma(i) p(i) ln p(i)) we establish, through a simple identification, that S-q = 0 is equivalent to q = d(f)/d, where d(f) and d respectively are fractal and Euclidean dimensions.

引用

页码：541 / 547

页数：7

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