Nonextensive statistical mechanics: a brief review of its present status

被引:23
作者
Tsallis, C [1 ]
机构
[1] Ctr Brasileiro Pesquisas Fis, BR-22290180 Rio De Janeiro, Brazil
[2] Univ Lisbon, Ctr Fis Mat Condensada, P-1649003 Lisbon, Portugal
来源
ANAIS DA ACADEMIA BRASILEIRA DE CIENCIAS | 2002年 / 74卷 / 03期
关键词
nonextensive statistical mechanics; entropy; complex systems;
D O I
10.1590/S0001-37652002000300003
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
We briefly review the present status of nonextensive statistical mechanics. We focus on (i) the central equations of the formalism, (ii) the most recent applications in physics and other sciences, (iii) the a priori determination (from microscopic dynamics) of the entropic index q for two important classes of physical systems, namely low-dimensional maps (both dissipative and conservative) and long-range interacting many-body hamiltonian classical systems.
引用
收藏
页码:393 / 414
页数:22
相关论文
共 74 条
[1]  
ABE S, 2001, SERIES LECT NOTES PH
[2]   Breakdown of exponential sensitivity to initial conditions: Role of the range of interactions [J].
Anteneodo, C ;
Tsallis, C .
PHYSICAL REVIEW LETTERS, 1998, 80 (24) :5313-5316
[3]  
ANTENEODO C, CONDMAT0205314
[4]   CLUSTERING AND RELAXATION IN HAMILTONIAN LONG-RANGE DYNAMICS [J].
ANTONI, M ;
RUFFO, S .
PHYSICAL REVIEW E, 1995, 52 (03) :2361-2374
[5]   PDF of velocity fluctuation in turbulence by a statistics based on generalized entropy [J].
Arimitsu, T ;
Arimitsu, N .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2002, 305 (1-2) :218-226
[6]   Tsallis statistics and fully developed turbulence [J].
Arimitsu, T ;
Arimitsu, N .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2000, 33 (27) :L235-L241
[7]   Analysis of turbulence by statistics based on generalized entropies [J].
Arimitsu, T ;
Arimitsu, N .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2001, 295 (1-2) :177-194
[8]   Tsallis statistics and fully developed turbulence (vol 33, pg L235, 2000) [J].
Arimitsu, T ;
Arimitsu, N .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2001, 34 (03) :673-674
[9]   Analysis of fully developed turbulence in terms of Tsallis statistics [J].
Arimitsu, T ;
Arimitsu, N .
PHYSICAL REVIEW E, 2000, 61 (03) :3237-3240
[10]  
Bak P. P., 1996, NATURE WORKS