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Density Expansion of the Equation of State

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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 is mainly devoted to the formal derivation of the virial coefficients characterizing the representation of the equation of state as a series expansion in powers of density. This requires the introduction of diagrammatic techniques, the main steps being justified by simple examples without rigorous proofs. The chapter continues with the analysis of the second virial coefficient for simple model interactions and of higher-order virial coefficients for hard spheres, both one-component and multicomponent. Finally, some simple approximate equations of state for one-component and multicomponent hard-sphere liquids are described.

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    Andrés Santos

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Santos, A. (2016). Density Expansion of the Equation of State. 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_3

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