Macroscopic thermodynamics of equilibrium characterized by power law canonical distributions

被引:27
作者
Abe, S [1 ]
Rajagopal, AK
机构
[1] Nihon Univ, Coll Sci & Technol, Chiba 2748501, Japan
[2] USN, Res Lab, Washington, DC 20375 USA
来源
EUROPHYSICS LETTERS | 2001年 / 55卷 / 01期
关键词
D O I
10.1209/epl/i2001-00373-4
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Macroscopic thermodynamics of equilibrium is constructed for systems obeying power law canonical distributions. With this, the connection between macroscopic thermodynamics and microscopic statistical thermodynamics is generalized. This is complementary to the Gibbs theorem for the celebrated exponential canonical distributions of systems in contact with the heat bath. Thereby, a thermodynamic basis is provided for power law phenomena ubiquitous in nature.
引用
收藏
页码:6 / 11
页数:6
相关论文
共 13 条
[1]   Justification of power law canonical distributions based on the generalized central-limit theorem [J].
Abe, S ;
Rajagopal, AK .
EUROPHYSICS LETTERS, 2000, 52 (06) :610-614
[2]   Microcanonical foundation for systems with power-law distributions [J].
Abe, S ;
Rajagopal, AK .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2000, 33 (48) :8733-8738
[3]   Nonuniqueness of canonical ensemble theory arising from microcanonical basis [J].
Abe, S ;
Rajagopal, AK .
PHYSICS LETTERS A, 2000, 272 (5-6) :341-345
[4]  
ABE S, 2001, LEC NOTES PHYS, V560
[5]  
ABE S, QUANTPH9911097
[6]   Levy distribution of single molecule line shape cumulants in glasses [J].
Barkai, E ;
Silbey, R ;
Zumofen, G .
PHYSICAL REVIEW LETTERS, 2000, 84 (23) :5339-5342
[7]   Measuring nonextensitivity parameters in a turbulent Couette-Taylor flow [J].
Beck, C ;
Lewis, GS ;
Swinney, HL .
PHYSICAL REVIEW E, 2001, 63 (03) :353031-353034
[8]   ANOMALOUS DIFFUSION IN DISORDERED MEDIA - STATISTICAL MECHANISMS, MODELS AND PHYSICAL APPLICATIONS [J].
BOUCHAUD, JP ;
GEORGES, A .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1990, 195 (4-5) :127-293
[9]  
Khinchin A. I., 1949, MATH FDN STAT MECH
[10]  
KUBO R, 1988, STAT MECH