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Teoreticheskaya i Matematicheskaya Fizika, 2005, Volume 143, Number 1, Pages 150–160
DOI: https://doi.org/10.4213/tmf1808 (Mi tmf1808) 		 
This article is cited in 2 scientific papers (total in 2 papers)

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

É. A. Arinstein

Tyumen State University
Full-text PDF (191 kB) Citations (2)
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DOI: https://doi.org/10.4213/tmf1808
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
English version:
Theoretical and Mathematical Physics, 2005, Volume 143, Issue 1, Pages 615–624
DOI: https://doi.org/10.1007/s11232-005-0093-y
Bibliographic databases:
Language: Russian
Citation: É. A. Arinstein, “Multiparticle correlations, entropy of partial distributions, and the direct variational method”, TMF, 143:1 (2005), 150–160; Theoret. and Math. Phys., 143:1 (2005), 615–624
Citation in format AMSBIB
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\jour Theoret. and Math. Phys.
\yr 2005
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\pages 615--624
\crossref{https://doi.org/10.1007/s11232-005-0093-y}
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  • https://www.mathnet.ru/eng/tmf/v143/i1/p150
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    References:35
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