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Issue 11, 2024
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1973

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Reviews of topical problems


Method of integral equations in statistical theory of liquids

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CONTENTS
1. Introduction 592
a) Problem of the Theory of the Liquid State 592
b) The Method of Integral Equations 593
2. The Percus-Yevick Equation 594
a) Functional Definition of the Direct Correlation Function 594
b) The Percus Approximation 595
c) Analytic Solution of the Percus-Yevick Equation for a System of Hard Spheres 597
3. Results of Numerical Calculations by the Integral Equation Method 599
a) Calculation of the RDF and of the Thermodynamic Characteristics 599
b) Determination of the Interparticle Potential 603
c) Problem of Self Consistency of the Liquid Pressure 604
d) Phase Transitions in the Percus-Yevick Theory 605
Bibliography 606

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Fulltext is also available at DOI: 10.1070/PU1973v015n05ABEH005016
PACS: 61.20.Ja, 65.20.+w (all)
DOI: 10.1070/PU1973v015n05ABEH005016
URL: https://ufn.ru/en/articles/1973/5/d/
Citation: Kovalenko N P, Fisher I Z "Method of integral equations in statistical theory of liquids" Sov. Phys. Usp. 15 592–607 (1973)
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Оригинал: Коваленко Н П, Фишер И З «Метод интегральных уравнений в статистической теории жидкостей» УФН 108 209–239 (1972); DOI: 10.3367/UFNr.0108.197210a.0209

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