Coarse-grained distributions and superstatistics
Statistical Mechanics
2009-11-10 v3
Abstract
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.
Keywords
Cite
@article{arxiv.cond-mat/0409511,
title = {Coarse-grained distributions and superstatistics},
author = {Pierre-Henri Chavanis},
journal= {arXiv preprint arXiv:cond-mat/0409511},
year = {2009}
}