Nonextensive thermostatistics and the H theorem

被引：185

作者：

Lima, JAS ^{[1
]}

Silva, R

Plastino, AR

机构：

[1] Univ Fed Rio Grande do Norte, Dept Fis Teor & Expt, BR-59072970 Natal, RN, Brazil

[2] Univ Nacl La Plata, Fac Ciencias Astron & Geofis, RA-1900 La Plata, Argentina

[3] Univ Illes Balears, Dept Fis, E-07071 Palma de Mallorca, Spain

来源：

PHYSICAL REVIEW LETTERS | 2001年 / 86卷 / 14期

关键词：

D O I：

10.1103/PhysRevLett.86.2938

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The kinetic foundations of Tsallis' nonextensive thermostatistics are investigated through Boltzmann's transport equation approach. Our analysis follows from a nonextensive generalization of the "molecular chaos hypothesis." For q > 0, the q-transport equation satisfies an H theorem based on Tsallis entropy. It is also proved that the collisional equilibrium is given by Tsallis' q-nonextensive velocity distribution.

引用

页码：2938 / 2941

页数：4

共 30 条

[1] Correlation induced by Tsallis' nonextensivity [J].

Abe, S .

PHYSICA A, 1999, 269 (2-4) :403-409

[2]

[Anonymous], 1979, MATH STAT MECH

[3] Application of generalized thermostatistics to fully developed turbulence [J].

Beck, C .

PHYSICA A, 2000, 277 (1-2) :115-123

[4]

Beck C., 1993, THERMODYNAMICS CHAOT

[5]

Boghosian BM, 1999, BRAZ J PHYS, V29, P91, DOI 10.1590/S0103-97331999000100009

[6] Thermodynamic description of the relaxation of two-dimensional turbulence using Tsallis statistics [J].

Boghosian, BM .

PHYSICAL REVIEW E, 1996, 53 (05) :4754-4763

[7]

Boltzmann L., 1896, Vorlesungen uber Gastheorie

[8] On a q-generalization of circular and hyperbolic functions [J].

Borges, EP .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1998, 31 (23) :5281-5288

[9]

BRUSH SG, 1983, STAT PHYSICS ATOMIC

[10] Dynamic approach to the thermodynamics of superdiffusion [J].

Buiatti, M ;

Grigolini, P ;

Montagnini, A .

PHYSICAL REVIEW LETTERS, 1999, 82 (17) :3383-3387

← 1 2 3 →