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Variational Principle in the Theory of Partial Distribution Functions

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Abstract

We have constructed thermodynamically consistent theory of correlations in a classical equilibrium system. The theory is based on a variational principle for thermodynamic potential, as functional of correlation functions. Both the thermodynamic potential and correlation functions are determined simultaneously from a uniform variation problem for this functional. We have offered also methods of consecutive approximations system construction for the solution of the obtained variational problem.

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Authors and Affiliations

  1. Tyumen State University, Semakova str. 10, 625, Tyumen, Russia

    Eduard A. Arinshteyn

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  1. Eduard A. Arinshteyn
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Correspondence to Eduard A. Arinshteyn.

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Arinshteyn, E.A. Variational Principle in the Theory of Partial Distribution Functions. J Stat Phys 144, 831–845 (2011). https://doi.org/10.1007/s10955-011-0275-y

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  • DOI: https://doi.org/10.1007/s10955-011-0275-y

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