Method of integral equations in statistical theory of liquids

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

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)

BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

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

Cited by (45) Similar articles (20) ↓

G.N. Sarkisov “Approximate equations of the theory of liquids in the statistical thermodynamics of classical liquid systems” Phys. Usp. 42 545–561 (1999)
E.G. Brovman, Yu.M. Kagan “Phonons in nontransition metals” Sov. Phys. Usp. 17 125–152 (1974)
I.Z. Fisher “Applications of the monte carlo method in statistical physics” Sov. Phys. Usp. 2 783–796 (1960)
A.V. Bushman, V.E. Fortov “Model equations of state” Sov. Phys. Usp. 26 465–496 (1983)
Yu.L. Klimontovich “Kinetic equations for nonideal gas and nonideal plasma” Sov. Phys. Usp. 16 512–528 (1974)
G.A. Martynov “The problem of phase transitions in statistical mechanics” Phys. Usp. 42 517–543 (1999)
I.E. Dzyaloshinskii, E.M. Lifshitz, L.P. Pitaevskii “General theory of van der Waals’ forces” Sov. Phys. Usp. 4 153–176 (1961)
Yu.L. Klimontovich “Problems of statistical theory of interaction of atoms with radiation” Sov. Phys. Usp. 13 480–494 (1971)
V.L. Pokrovskii “Similarity hypothesis in the theory of phase transitions” Sov. Phys. Usp. 11 66–74 (1968)
A.M. Prokhorov, S.I. Anisimov, P.P. Pashinin “Laser thermonuclear fusion” Sov. Phys. Usp. 19 547–560 (1976)
M.A. Anisimov “Investigations of critical phenomena in liquids” Sov. Phys. Usp. 17 722–744 (1975)
M.A. Krivoglaz “Fluctuon states of electrons” Sov. Phys. Usp. 16 856–877 (1974)
D.A. Kirzhnits, Yu.E. Lozovik, G.V. Shpatakovskaya “Statistical model of matter” Sov. Phys. Usp. 18 649–672 (1975)
V.S. Lisitsa “Stark broadening of hydrogen lines in plasmas” Sov. Phys. Usp. 20 603–630 (1977)
S.B. Kormer “Optical study of the characteristics of shock-compressed condensed dielectrics” Sov. Phys. Usp. 11 229–254 (1968)
A.G. Khrapak, I.T. Yakubov “Electrons and positrons in dense gases” Sov. Phys. Usp. 22 703–726 (1979)
V.A. Alekseev, V.E. Fortov, I.T. Yakubov “Physical properties of high-pressure plasmas” Sov. Phys. Usp. 26 99–115 (1983)
V.L. Ginzburg “Certain theoretical aspects of radiation due to superluminal motion in a Medium” Sov. Phys. Usp. 2 874–893 (1960)
V.D. Lakhno, G.N. Chuev “Structure of a strongly coupled large polaron” Phys. Usp. 38 273–285 (1995)
G.M. Mrevlishvili “Low-temperature calorimetry of biological macromolecules” Sov. Phys. Usp. 22 433–455 (1979)

The list is formed automatically.