На додатковому титульному аркуші назва українською мовою

01356753 Дар Корж Р. О.

Бібліографія: сторінки 409-434 (414 назв)

EDITORIAL PREFACE TO THE SECOND EDITION.....9
AUTHOR’S PREFACE TO THE SECOND EDITION.....13
PREFACE TO THE FIRST EDITION.....17
CHAPTER 1. INTRODUCTION TO EQUILIBRIUM STATISTICAL THEORY
1.1. Basic concepts..... 21
1.1.1. Characteristic functions.....21
1.1.2. Partition function of the classical system.....23
1.1.3. Distribution functions.....26
1.2. Intermolecular interactions.....29
1.3. Mayer cluster expansions.....36
1.3.1. Virial expansions.....36
1.3.2. Classification and summation of diagrams.....40
1.3.3. Integral equations.....42
1.3.4. Methods of computer simulation.....45
CHAPTER 2. METHOD OF COLLECTIVE VARIABLES
2.1. Representation of collective variables.....48
2.1.1. Operator of the deviation of the particle density from the average value.....48
2.1.2. Fourier transform of functions.....50
2.1.3. Analytic functional.....52
2.1.4. Jacobian of the transformation from the (R)-phase space to the (p)-phase space.....56
2.1.5. Orthonormality conditions of J (pR).....61
2.1.6. Physical meaning of the collective variables.....65
2.2. Method of collective variables.....67
2.2.1. Configuration integral of a system with the long-range interactions.....69
2.2.2. Distribution functions in a system with long-range interactions.....78
2.2.3. Free energy accounting for short-range interactions.....85
2.2.4. Structure of cluster expansions.....88
2.2.5. Pair distribution function accounting for short-range interactions.....90
2.3. Reference system approach to short-range interactions.....93
2.3.1. Jacobian of the transformation.....95
2.3.2. Calculation of the configuration integral.....100
2.3.3. Discussion of the obtained results.....112
CHAPTER 3. MONATOMIC SYSTEMS
3.1. Hard-sphere system.....125
3.1.1. General properties. Exact relations.....126
3.1.2. One-dimensional system.....130
3.1.3. Scaled particle theory.....135
3.1.4. Percus—Yevick approximation.....142
3.1.5. Semi-empirical parametrization of expressions for correlation functions.....151
3.1.6. Phase transition in hard-sphere systems.....153
3.2. System with van der Waals interactions.....157
3.2.1. Choice of the reference system. Relation to the hard- sphere model.....158
3.2.2. Cluster expansions.....164
3.3. Multicomponent systems.....170
3.3.1. General relations.....170
3.3.2. Extension of the collective variables method.....176
3.3.3. Reference system approach to short-range interactions.....181
3.3.4. Hard-sphere system.....187
3.3.5. Accounting for long-range interactions.....197
3.4. Ionic systems.....199
3.4.1. Fundamental properties of the system. Dielectric formalism.....199
3.4.2. Application of the collective variables method.....204
3.4.3. Reference system approach to short-range interactions.....208
CHAPTER 4. MOLECULAR SYSTEMS
4.1. Systems with non-central interactions.....221
4.1.1. General relations for molecular systems.....221
4.1.2. Systems with non-central interactions. Expansion in spherical functions.....223
4.1.3. Extension of the collective variables method.....230
4.1.4. Reference system approach to short-range interactions.....234
4.1.5. Screened potential.....237
4.2. Simple molecular systems.....245
4.2.1. Model of hard convex bodies. Application of the scaled particle theory.....245
4.2.2. Application of site-site potentials. Reference system ap¬proach to interacting sites.....255
4.3. Systems with electrostatic interactions.....270
4.3.1. Application of the collective variables method.....270
4.3.2. Screened potentials in the reference system approach to short-range interactions.....276
4.3.3. Thermodynamic and structural properties of a system.....281
4.3.4. Dielectric properties of a system.....288
4.4. Ion-molecular systems.....303
4.4.1. Application of the collective variables methodd.....304
4.4.2. Pair distribution functions of mixed ion-dipole systems. Study of cluster expansions.....311
4.4.3. Effective interionic interactions. Application to the description of electrolyte solutions.....319
4.4.4. Reference system approach to short-range interactions.....328
CHAPTER 5. SPATIALLY INHOMOGENEOUS SYSTEMS
5.1. System of interacting particles in an external field.....339
5.1.1. General relations.....339
5.1.2. Extension of the collective variables method.....345
5.1.3. Application of the collective variables method to the description of a system in the grand canonical ensemble.....352
5.1.4. Relation to the classical density Held theory.....355
5.1.5. Application of the obtained results to the description of the microfield distributions.....356
5.2. Interfacial properties of condensed systems.....360
5.2.1. Liquid-vapour interface.....360
5.2.2. Solid-liquid and solid-vapour interfaces.....372
5.2.3. Electric double layer.....376
CHAPTER 6. SUBSEQUENT DEVELOPMENTS
6.1. Cluster expansions for systems with short- and long-range interactions.....390
6.1.1. Extension of Mayer cluster expansions to systems with short- and long-range interactions.....391
6.1.2. Generalized cluster expansions with the reference system approach to short-range interactions.....394
6.2. Separation of an interparticle potential into three parts: short-range, long-range and intermediate strong attractive interactions.....398
6.2.1.Activity and density expansions.....399
6.2.2. Two-density approaches: The application to ionic systems.....401
6.2.3. Multi-density approach.....406
BIBLIOGRAPHY.....409
SUBJECT INDEX.....435
AUTHOR INDEX.....442

The monograph, first published by Naukova Dumka in 1980, provides a systematic presentation of the statistical theory of classical equilibrium systems. It is among the first works devoted to the microscopic theory of the liquid state and may be regarded as an advanced textbook. A broad class of systems representing gases, liquids, and solutions is analyzed from a unified standpoint. The theory describes interacting particles in an extended phase space that includes both individual coordinates and collective variables characterizing density fluctuations. The ion-molecular approach developed for electrolyte solutions treats interactions between ions and solvent molecules on an equal basis, revealing fundamentally different mechanisms of electrostatic screening. Spatially inhomogeneous systems are examined in detail as well.