This article is cited in 2 papers

Multiparticle correlations, entropy of partial distributions, and the direct variational method

É. A. Arinstein

Tyumen State University

Abstract: In the classical statistical theory, multiparticle correlations are governed by a variational principle for a functional that becomes the thermodynamic potential on its extremal. We show that this functional contains a part that has the meaning of a sum of contributions from multiparticle entropies. We present a method for passing from the conditional variational problem for the thermodynamic potential to an unconditional one.

Keywords: partial distributions, irreducible contributions, connected diagrams, entropy, direct correlations, total correlations, direct variational principle.

Received: 21.06.2004

DOI: 10.4213/tmf1808

 English version: Theoretical and Mathematical Physics, 2005, 143:1, 615–624

Bibliographic databases:

• 
• 
• 
• 
•