The equilibrium statistical mechanics of a one-dimensional self-gravitational system

Details The equilibrium statistical mechanics of a one-dimensional self-gravitational system The equilibrium statistical mechanics of a one-dimensional self-gravitational system

Feb 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978aujph..31...95m&link_type=abstract

Australian Journal of Physics, vol. 31, Feb. 1978, p. 95-103.

Physics

Condensed Matter

Statistical Mechanics

7

Equilibrium Equations, Free Energy, Gravitational Effects, Statistical Mechanics, Distribution Functions, Inequalities, Perturbation Theory, Spatial Distribution, Variational Principles

Scientific paper

The configurational integral and the single-particle and pair distributions for a one-dimensional gravitating system are calculated using approximate methods. The Helmholtz free energy and single-particle distributions are in good agreement with the exact analytical results. The pair distribution is new and shows that, in the Vlasov limit, it is approximately the product of two one-particle distributions. The method may be easily extended to more general systems.

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