Linear kinetic theory of hard-sphere fluids. I. General formalism (Q1080710)

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scientific article; zbMATH DE number 3968106
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Linear kinetic theory of hard-sphere fluids. I. General formalism
scientific article; zbMATH DE number 3968106

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    Linear kinetic theory of hard-sphere fluids. I. General formalism (English)
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    1984
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    A new general formalism for a linear kinetic theory is proposed. It is based on a diagrammatic analysis of the linear integral operators containing equilibrium correlations. The diagrams are similar to the Mayer graphs but possess two kinds of root-points. This new diagrammatic technique is used to analyze the BBGKY hierarchy for a hard-sphere fluid. As a result a new hierarchy of evolution equations is obtained in which the Enskog-like renormalization of the binary collisions has been explicitly carried out, thus the previous ideas of Resibois and Lebowitz have been fully implemented.
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    linear kinetic theory
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    diagrammatic analysis
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    linear integral operators
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    equilibrium correlations
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    Mayer graphs
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    root-points
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    BBGKY hierarchy
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    hard-sphere fluid
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    binary collisions
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