1210.5592 (Maxime Champion et al.)

Gravitation in the Microcanonical Ensemble: Appropriate Scaling Leading
to Extensivity and Thermalization    [PDF]

Maxime Champion, Angel Alastuey, Thierry Dauxois, Stefano Ruffo

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.

View original: http://arxiv.org/abs/1210.5592