Statistical Mechanics of Self--Gravitating System : Cluster Expansion Method
Osamu Iguchi, Tomomi Kurokawa, Masahiro Morikawa, Akika Nakamichi, Yasuhide Sota, Takayuki Tatekawa, Kei--ichi Maeda
Abstract
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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