Gravitation in the Microcanonical Ensemble: Appropriate Scaling Leading to Extensivity and Thermalization
Statistical Mechanics
2015-03-31 v1
Abstract
We introduce a simple model of hard spheres with gravitational interactions, for which we study a suitable scaling limit. Usual extensive properties are maintained notwithstanding the long range of gravitational interaction. We show that a local thermalization spontaneously emerges within a microcanonical description of the stationary state. In the considered scaling limit, the resulting density profile can be determined in a hydrostatic approach.
Keywords
Cite
@article{arxiv.1210.5592,
title = {Gravitation in the Microcanonical Ensemble: Appropriate Scaling Leading to Extensivity and Thermalization},
author = {Maxime Champion and Angel Alastuey and Thierry Dauxois and Stefano Ruffo},
journal= {arXiv preprint arXiv:1210.5592},
year = {2015}
}