### 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, and a two-point correlation function.

Original language | English |
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Pages (from-to) | 4-9 |

Number of pages | 6 |

Journal | Physics Letters, Section A: General, Atomic and Solid State Physics |

Volume | 260 |

Issue number | 1-2 |

DOIs | |

Publication status | Published - 1999 Sep 6 |

### Keywords

- Self-gravitating system
- Statistical mechanics

### ASJC Scopus subject areas

- Physics and Astronomy(all)

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## Cite this

Iguchi, O., Kurokawa, T., Morikawa, M., Nakamichi, A., Sota, Y., Tatekawa, T., & Maeda, K. I. (1999). Statistical mechanics of self-gravitating system: Cluster expansion method.

*Physics Letters, Section A: General, Atomic and Solid State Physics*,*260*(1-2), 4-9. https://doi.org/10.1016/S0375-9601(99)00422-3