Nonextensive quantum H-theorem

被引：27

作者：

Silva, R. ^{[1
,2
]}

Anselmo, D. H. A. L. ^{[1
]}

Alcaniz, J. S. ^{[3
]}

机构：

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

[2] Univ Estado Rio Grande do Norte, Dept Fis, BR-59610210 Mossoro, RN, Brazil

[3] Observat Nacl, Dept Astron, BR-20921400 Rio De Janeiro, Brazil

来源：

EPL | 2010年 / 89卷 / 01期

关键词：

LAW; STATISTICS; THERMOSTATISTICS; TSALLIS;

D O I：

10.1209/0295-5075/89/10004

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A proof of the quantum H-theorem taking into account nonextensive effects on the quantum entropy S-q(Q) is shown. The positiveness of the time variation of S-q(Q) q combined with a duality transformation implies that the nonextensive parameter q lies in the interval [0,2]. It is also shown that the stationary states are described by quantum q-power law extensions of the Fermi-Dirac and Bose-Einstein distributions. Such results reduce to the standard ones in the extensive limit, thereby showing that the nonextensive entropic framework can be harmonized with the quantum distributions contained in the quantum statistics theory. Copyright (C) EPLA, 2010

引用

页数：5

共 50 条

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