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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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\by \'E.~A.~Arinstein
\paper Multiparticle correlations, entropy of partial distributions, and the direct variational method
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\transl
\jour Theoret. and Math. Phys.
\yr 2005
\vol 143
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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/tmf1808
  • https://doi.org/10.4213/tmf1808
  • https://www.mathnet.ru/eng/tmf/v143/i1/p150
    • This publication is cited in the following 2 articles:
    1. Arinshteyn E.A., “Variational Principle in the Theory of Partial Distribution Functions”, J Stat Phys, 144:4 (2011), 831–845  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus
    2. É. A. Arinstein, “Thermodynamic stability, critical points, and phase transitions in the theory of partial distribution functions”, Theoret. and Math. Phys., 155:3 (2008), 949–958  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    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:61
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