TSALLIS ENTROPY AND QUANTAL DISTRIBUTION-FUNCTIONS

被引:49
作者
PENNINI, F [1 ]
PLASTINO, A [1 ]
PLASTINO, AR [1 ]
机构
[1] NATL UNIV LA PLATA,FAC CIENCIAS ASTRON & GEOFIS,RA-1900 LA PLATA,ARGENTINA
关键词
D O I
10.1016/0375-9601(95)00720-1
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In connection with Tsallis generalized statistical mechanics, we discuss the associated quantal distribution functions recently advanced by Buyukkilic et al. [Phys. Lett. A 197 (1995) 209] and show, by recourse to elementary considerations, that they can be regarded only as rather rough approximations. Numerical calculations in a simple model show that, for some values of the temperature and the chemical potential, results obtained with the approximate distributions appreciably deviate from the exact ones.
引用
收藏
页码:309 / 314
页数:6
相关论文
共 18 条
[1]  
ALEMANY PA, 1994, PHYS REV E, V49, P956
[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]  
CHAME A, 1994, J PHYS A, V24, P3663
[5]  
CURADO EME, 1991, J PHYS A-MATH GEN, V24, P3187
[6]   GENERALIZED STATISTICAL-MECHANICS - CONNECTION WITH THERMODYNAMICS [J].
CURADO, EMF ;
TSALLIS, C .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1991, 24 (02) :L69-L72
[7]  
CURADO EMF, 1992, J PHYS A-MATH GEN, V25, P1019, DOI 10.1088/0305-4470/25/4/038
[8]   SPECIFIC-HEAT OF THE HARMONIC-OSCILLATOR WITHIN GENERALIZED EQUILIBRIUM STATISTICS [J].
ITO, N ;
TSALLIS, C .
NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA D-CONDENSED MATTER ATOMIC MOLECULAR AND CHEMICAL PHYSICS FLUIDS PLASMAS BIOPHYSICS, 1989, 11 (06) :907-911
[9]   ON THE IRREVERSIBLE NATURE OF THE TSALLIS AND RENYI ENTROPIES [J].
MARIZ, AM .
PHYSICS LETTERS A, 1992, 165 (5-6) :409-411
[10]   VARIATIONAL METHOD IN GENERALIZED STATISTICAL-MECHANICS [J].
PLASTINO, A ;
TSALLIS, C .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1993, 26 (18) :L893-L896