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Density Expansion of the Radial Distribution Function and Approximate Integral Equations

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A Concise Course on the Theory of Classical Liquids

Part of the book series: Lecture Notes in Physics ((LNP,volume 923))

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Abstract

This chapter deals with the derivation of the coefficients of the radial distribution function in its expansion in powers of density. As in Chap. 3, the main steps involving diagrammatic manipulations are justified with simple examples. The classification of diagrams depending on their topology leads to the introduction of the hypernetted-chain and Percus–Yevick approximations, plus other approximate integral equations. The chapter ends with some relations in connection with the internal consistency among different thermodynamic routes in approximate theories.

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Authors and Affiliations

  1. Departamento de Física and Instituto de Computación Científica Avanzada (ICCAEx), Universidad de Extremadura, Badajoz, Spain

    Andrés Santos

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  1. Andrés Santos
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Santos, A. (2016). Density Expansion of the Radial Distribution Function and Approximate Integral Equations. In: A Concise Course on the Theory of Classical Liquids. Lecture Notes in Physics, vol 923. Springer, Cham. https://doi.org/10.1007/978-3-319-29668-5_6

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