Newtonian gravity in d dimensions
天体物理学
2009-11-11 v1
摘要
We study the influence of the dimension of space on the thermodynamics of the classical and quantum self-gravitating gas. We consider Hamiltonian systems of self-gravitating particles described by the microcanonical ensemble and self-gravitating Brownian particles described by the canonical ensemble. We present a gallery of caloric curves in different dimensions of space and discuss the nature of phase transitions as a function of the dimension d. We also provide the general form of the Virial theorem in d dimensions and discuss the particularity of the dimension d=4 for Hamiltonian systems and the dimension d=2 for Brownian systems.
引用
@article{arxiv.astro-ph/0612086,
title = {Newtonian gravity in d dimensions},
author = {Pierre-Henri Chavanis},
journal= {arXiv preprint arXiv:astro-ph/0612086},
year = {2009}
}