Gibbsian theory of power law distributions

Details Gibbsian theory of power law distributions Gibbsian theory of power law distributions

2007-11-11

arxiv.org/abs/0711.1676v3

Physical Review Letters 100, 155005 (2008)

Physics

Plasma Physics

Physical Review Letters revised second revision (and shortened because of overlength) co-author added

Scientific paper

10.1103/PhysRevLett.100.155005

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 quasi-stationary 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 super-additive (non-extensive) entropy, and a redefinition of temperature in such systems is given.

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