Gibbsian theory of power-law distributions

被引：71
|
作者：
Treumann, R. A. [1 ,2 ]
Jaroschek, C. H. [3 ]
机构：
[1] Univ Munich, Dept Geophys & Environm Sci, D-80333 Munich, Germany
[2] Dartmouth Coll, Dept Phys, Hanover, NH 03755 USA
[3] Univ Tokyo, Dept Earth & Planetary Sci, Tokyo, Japan
来源：
PHYSICAL REVIEW LETTERS | 2008年 / 100卷 / 15期
关键词：
D O I：
10.1103/PhysRevLett.100.155005
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
It is shown that power-law phase space distributions describe marginally stable Gibbsian equilibria far from thermal equilibrium, which are expected to occur in collisionless plasmas containing fully developed quasistationary turbulence. Gibbsian theory is extended on the fundamental level to statistically dependent subsystems introducing an "ordering parameter" kappa. Particular forms for the entropy and partition functions are derived with superadditive (nonextensive) entropy, and a redefinition of temperature in such systems is given.
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页数：4
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