Statistical Mechanics of Self--Gravitating System : Cluster Expansion Method

Details Statistical Mechanics of Self--Gravitating System : Cluster Expansion Method Statistical Mechanics of Self--Gravitating System : Cluster Expansion Method

1998-08-15

arxiv.org/abs/astro-ph/9808160v1

Phys.Lett. A260 (1999) 4-9

Astronomy and Astrophysics

Astrophysics

4 pages including 2 eps figures, RevTex

Scientific paper

10.1016/S0375-9601(99)00422-3

We study statistical mechanics of the self--gravitating system applying the cluster expansion method developed in solid state physics. By summing infinite series of diagrams, we derive a complex free energy whose imaginary part is related to the relaxation time of the system. Summation of another series yields two--point correlation function whose correlation length is essentially given by the Jeans wavelength of the system.

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