Gibbsian Theory of Power-Law Distributions

Journal Article · Fri Apr 18 00:00:00 EDT 2008 · Physical Review Letters

DOI:https://doi.org/10.1103/PHYSREVLETT.100.155005· OSTI ID:21123882

Treumann, R A ^[1]; Jaroschek, C H ^[2]

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1. Department of Geophysics and Environmental Sciences, Munich University, D-80333 Munich (Germany)
2. Department Earth and Planetary Science, University of Tokyo, Tokyo (Japan)

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.

• OSTI ID: 21123882
• Journal Information: Physical Review Letters, Vol. 100, Issue 15; Other Information: DOI: 10.1103/PhysRevLett.100.155005; (c) 2008 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0031-9007
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
COLLISIONLESS PLASMA
DISTRIBUTION
ENTROPY
PARTITION FUNCTIONS
PHASE SPACE
THERMAL EQUILIBRIUM
TURBULENCE