Coarse-grained distributions and superstatistics

Details Coarse-grained distributions and superstatistics Coarse-grained distributions and superstatistics

2004-09-20

arxiv.org/abs/cond-mat/0409511v3

Physica A, 359, 177 (2006)

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1016/j.physa.2005.06.043

We show an interesting connexion between the coarse-grained distribution function arising in the theory of violent relaxation for collisionless stellar systems (Lynden-Bell 1967) and the notion of superstatistics introduced recently by Beck & Cohen (2003). We also discuss the analogies and differences between the statistical equilibrium state of a multi-components self-gravitating system and the metaequilibrium state of a collisionless stellar system. Finally, we stress the important distinction between mixing entropies, generalized entropies, H-functions, generalized mixing entropies and relative entropies.

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