Document Type
Article
Publication Date
4-18-2008
Publication Title
Physical Review Letters
Department
Department of Physics and Astronomy
Abstract
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‘‘ k. Particular forms for the entropy and partition functions are derived with superadditive (nonextensive) entropy, and a redefinition of temperature in such systems is given.
DOI
10.1103/PhysRevLett.100.155005
Dartmouth Digital Commons Citation
Treumann, R. A. and Jaroschek, C. H., "Gibbsian Theory of Power-Law Distributions" (2008). Dartmouth Scholarship. 2742.
https://digitalcommons.dartmouth.edu/facoa/2742