Nonextensivity and the q-distribution of a relativistic gas under an external electromagnetic field

We investigate the nonextensivity and the q-distribution of a relativistic gas under an external electromagnetic field. We derive an expression for the nonextensive parameter q based on the relativistic generalized Boltzmann equation, the relativistic q-H theorem and the relativistic version of the...

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Bibliographic Details
Published inChinese science bulletin Vol. 56; no. 34; pp. 3689 - 3692
Main Authors Liu, ZhiPeng, Guo, LiNa, Du, JiuLin
Format Journal Article
LanguageEnglish
Published Heidelberg Springer-Verlag 01.12.2011
SP Science China Press
Subjects
Boltzmann方程
Chemistry/Food Science
Earth Sciences
electromagnetic radiation
Engineering
equations
gases
Humanities and Social Sciences
H定理
Life Sciences
multidisciplinary
Physics
Science
Science (multidisciplinary)
temperature
分布函数
动力学理论
气体
物理意义
电磁场分布
相对论
nonextensivity
distribution
relativistic gas
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Summary:We investigate the nonextensivity and the q-distribution of a relativistic gas under an external electromagnetic field. We derive an expression for the nonextensive parameter q based on the relativistic generalized Boltzmann equation, the relativistic q-H theorem and the relativistic version of the q-power-law distribution function in the nonextensive q-kinetic theory. We thus provide the connection between the parameter q≠1 and the spatial-temporal derivatives of the temperature field of the gas as well as the four-potential, and thereby present a clearly physical meaning for the nonextensivity for the relativistic gas.
Bibliography:We investigate the nonextensivity and the q-distribution of a relativistic gas under an external electromagnetic field. We derive an expression for the nonextensive parameter q based on the relativistic generalized Boltzmann equation, the relativistic q-H theorem and the relativistic version of the q-power-law distribution function in the nonextensive q-kinetic theory. We thus provide the connection between the parameter q≠1 and the spatial-temporal derivatives of the temperature field of the gas as well as the four-potential, and thereby present a clearly physical meaning for the nonextensivity for the relativistic gas.
LIU ZhiPeng1,2, GUO LiNa1 ＆ DU JiuLin1 1 Department of Physics, School of Science, Tianjin University, Tianjin 300072, China; 2 Department of Fundamental Subject, Tianjin Institute of Urban Construction, Tianjin 300384, China
nonextensivity; q-distribution; relativistic gas
11-1785/N
http://dx.doi.org/10.1007/s11434-011-4750-2
ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:1001-6538
1861-9541
DOI:10.1007/s11434-011-4750-2