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) |
|---|---|
| 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
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Stationary solutions of the bogoliubov hierarchy equations in classical statistical mechanics. 3. / Gurevich, B. M.; Soukhov, Iouri M.
In: Communications In Mathematical Physics, Vol. 56, No. 3, 01.10.1977, p. 225-236.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 -