### Abstract

We continue the analysis of the "conjugate" equation for the generating function of a Gibbs random point field corresponding to a stationary solution of the classical BBGKY hierarchy. This equation was established and partially investigated in the preceding papers under the same title. In the present paper we reduce a general theorem about the form of solutions of the "conjugate" equation to a statement which relates to a special case where the interacting particles constitute a "quasi"-one dimensional configuration.

Original language | English (US) |
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Pages (from-to) | 225-236 |

Number of pages | 12 |

Journal | Communications In Mathematical Physics |

Volume | 56 |

Issue number | 3 |

DOIs | |

State | Published - Oct 1 1977 |

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### All Science Journal Classification (ASJC) codes

- Statistical and Nonlinear Physics
- Mathematical Physics

### Cite this

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*Communications In Mathematical Physics*, vol. 56, no. 3, pp. 225-236. https://doi.org/10.1007/BF01614210

**Stationary solutions of the bogoliubov hierarchy equations in classical statistical mechanics. 3.** / Gurevich, B. M.; Soukhov, Iouri M.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Stationary solutions of the bogoliubov hierarchy equations in classical statistical mechanics. 3

AU - Gurevich, B. M.

AU - Soukhov, Iouri M.

PY - 1977/10/1

Y1 - 1977/10/1

N2 - We continue the analysis of the "conjugate" equation for the generating function of a Gibbs random point field corresponding to a stationary solution of the classical BBGKY hierarchy. This equation was established and partially investigated in the preceding papers under the same title. In the present paper we reduce a general theorem about the form of solutions of the "conjugate" equation to a statement which relates to a special case where the interacting particles constitute a "quasi"-one dimensional configuration.

AB - We continue the analysis of the "conjugate" equation for the generating function of a Gibbs random point field corresponding to a stationary solution of the classical BBGKY hierarchy. This equation was established and partially investigated in the preceding papers under the same title. In the present paper we reduce a general theorem about the form of solutions of the "conjugate" equation to a statement which relates to a special case where the interacting particles constitute a "quasi"-one dimensional configuration.

UR - http://www.scopus.com/inward/record.url?scp=0344871208&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0344871208&partnerID=8YFLogxK

U2 - 10.1007/BF01614210

DO - 10.1007/BF01614210

M3 - Article

AN - SCOPUS:0344871208

VL - 56

SP - 225

EP - 236

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

SN - 0010-3616

IS - 3

ER -