A theorem on the convolution of isotropic functions, with application to the Percus-Yevick equation (Q796785)
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scientific article; zbMATH DE number 3865940
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A theorem on the convolution of isotropic functions, with application to the Percus-Yevick equation |
scientific article; zbMATH DE number 3865940 |
Statements
A theorem on the convolution of isotropic functions, with application to the Percus-Yevick equation (English)
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1984
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The author establishes some results concerning the relationship between the derivative of the convolution product in \(R^ 3\) of two isotropic functions, and the convolution product in \(R^ 1\) of two related functions. These results are then applied to study the Percus-Yevick equation, a nonlinear integral equation which arises in the statistical mechanical theory of the structure of liquids. See also \textit{J. K. Percus} and \textit{G. J. Yevick} [Phys. Review, II. Ser. 110, 1-13 (1958; Zbl 0096.231)], and \textit{Barker} and \textit{Henderson} [Rev. Modern Phys. 48, 587-671 (1976)].
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convolution product
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isotropic functions
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Percus-Yevick equation
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structure of liquids
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