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

Osamu Iguchi·Tomomi Kurokawa·Masahiro Morikawa·Akika Nakamichi·Yasuhide Sota·Takayuki Tatekawa·Kei--ichi Maeda
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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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Osamu Iguchi, Tomomi Kurokawa, Masahiro Morikawa, Akika Nakamichi, Yasuhide Sota, Takayuki Tatekawa, Kei--ichi Maeda. 1998-08-15. Statistical Mechanics of Self--Gravitating System : Cluster Expansion Method. https://doi.org/10.1016/s0375-9601(99)00422-3

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