Gibbsian theory of power law distributions
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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' $κ$. 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.
Physical Review Letters revised second revision (and shortened because of overlength) co-author added
Physical Review Letters revised second revision (and shortened because of overlength) co-author added