Blackbody radiation in nonextensive Tsallis statistics: Exact solution

被引:44
作者
Lenzi, EK
Mendes, RS
机构
[1] Ctr Brasileiro Pesquisas Fis, BR-22290180 Rio De Janeiro, Brazil
[2] Univ Estadual Maringa, Dept Fis, BR-87020900 Maringa, Parana, Brazil
关键词
D O I
10.1016/S0375-9601(98)00819-6
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
An exact analysis of n-dimensional blackbody radiation in the recently proposed nonextensive Tsallis statistics is given here. Thus, the main relationships of blackbody radiation are generalized in the Tsallis context. In particular, it is verified that the relation between pressure, volume, and internal energy is form invariant with respect to the nonextensive entropic index, q. The results and procedure presented here are expected to be useful in the discussion of nonextensive systems possessing large or infinite numbers of degrees of freedom. (C) 1998 Elsevier Science B.V.
引用
收藏
页码:270 / 274
页数:5
相关论文
共 38 条
[1]   Thermodynamic description of the relaxation of two-dimensional turbulence using Tsallis statistics [J].
Boghosian, BM .
PHYSICAL REVIEW E, 1996, 53 (05) :4754-4763
[2]   A FRACTAL APPROACH TO ENTROPY AND DISTRIBUTION-FUNCTIONS [J].
BUYUKKILIC, F ;
DEMIRHAN, D .
PHYSICS LETTERS A, 1993, 181 (01) :24-28
[3]   A STATISTICAL-MECHANICAL APPROACH TO GENERALIZED STATISTICS OF QUANTUM AND CLASSICAL GASES [J].
BUYUKKILIC, F ;
DEMIRHAN, D ;
GULEC, A .
PHYSICS LETTERS A, 1995, 197 (03) :209-220
[4]   Thermodynamics of anomalous diffusion - Comment [J].
Caceres, MO ;
Budde, CE .
PHYSICAL REVIEW LETTERS, 1996, 77 (12) :2589-2589
[5]  
CURADO EMF, 1992, J PHYS A-MATH GEN, V25, P1019, DOI 10.1088/0305-4470/25/4/038
[6]   Quantum corrections for general partition functions [J].
Evangelista, LR ;
Malacarne, LC ;
Mendes, RS .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 1998, 253 (1-4) :507-516
[7]  
GRADSHTEYN IS, 1980, TABLE INTEGRALS SERI, P935
[8]   Generalized nonextensive thermodynamics applied to the cosmic background radiation in a Robertson-Walker universe [J].
Hamity, VH ;
Barraco, DE .
PHYSICAL REVIEW LETTERS, 1996, 76 (25) :4664-4666
[9]  
HUANG K, 1987, STAT MECH, P278
[10]   Thermalization of an electron-phonon system in a nonequilibrium state characterized by fractal distribution of phonon excitations [J].
Koponen, I .
PHYSICAL REVIEW E, 1997, 55 (06) :7759-7762