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arXiv · 1210.5592

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

Maxime Champion·Angel Alastuey·Thierry Dauxois·Stefano Ruffo
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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.

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Maxime Champion, Angel Alastuey, Thierry Dauxois, Stefano Ruffo. 2012-10-20. Gravitation in the Microcanonical Ensemble: Appropriate Scaling Leading to Extensivity and Thermalization. https://arxiv.org/abs/1210.5592

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