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Statistical Mechanics: Principles and Applications

by

Statistical Mechanics: Principles and Applications Cover

 

Synopses & Reviews

Publisher Comments:

"Excellent … a welcome addition to the literature on the subject." — Science

Before the publication of this standard, oft-cited book, there were few if any statistical-mechanics texts that incorporated reviews of both fundamental principles and recent developments in the field.

In this volume, Professor Hill offers just such a dual presentation — a useful account of basic theory and of its applications, made accessible in a comprehensive format. The book opens with concise, unusually clear introductory chapters on classical statistical mechanics, quantum statistical mechanics and the relation of statistical mechanics to thermodynamics. Then follows a wide-ranging, detailed examination of various applications. Chapter 4 deals with fluctuations. The fifth chapter treats the theory of imperfect gases and condensation, largely following Mayer's theory but also giving some new, alternative derivations and discussing in the final section Yang and Lee's theory. The sixth chapter is devoted to a discussion of distribution functions and the theory of the liquid state. Chapter 7 deals with nearest-neighbor (Ising) lattice statistics, while the last chapter discusses free-volume and hole theories of liquids and solids.

Written primarily for graduate students and researchers in chemistry, physics and biology who already have some acquaintance with statistical mechanics, the book lends itself to use as a text for a second course in statistical mechanics, as a supplement to a first course or for self-study or reference. The level is neither introductory nor highly sophisticated; the author has generally emphasized material that is not available in other books. In addition, selected bibliographic references at the end of each chapter suggest supplementary reading.

Synopsis:

Standard text covers classical statistical mechanics, quantum statistical mechanics, relation of statistical mechanics to thermodynamics, plus fluctuations, theory of imperfect gases and condensation, distribution functions and the liquid state, more.

Synopsis:

Standard text opens with clear, concise chapters on classical statistical mechanics, quantum statistical mechanics, and the relation of statistical mechanics to thermodynamics. Further topics cover fluctuations, the theory of imperfect gases and condensation, distribution functions and the liquid state, nearest neighbor (Ising) lattice statistics, and more.

Table of Contents

FOREWORD by John. G. Kirkwood

PREFACE

CHAPTER 1. PRINCIPLES OF CLASSICAL STATISTICAL MECHANICS

1. Statistical Mechanics and Thermodynamics

2. Phase Space

3. Ensembles

4. Postulate on the Use of Ensemble Averages

5. Postulate on the Form of the Distribution Function

6. Grand Ensembles

7. Ergodic Theory

CHAPTER 2. PRINCIPLES OF QUANTUM STATISTICAL MECHANICS

8. Review of Quantum Mechanics

9. Ensembles and Ensemble Averages in Quantum Statistical Mechanics

10. Postulate on the Use of Ensemble Averages

11. Postulate on the Form of the Density Matrix

12. Grand Ensembles

13. Derivation of Generalized Ensembles from the Microcanonical Ensemble

CHAPTER 3. STATISTICAL MECHANICS AND THERMODYNAMICS

14. Association of Thermodynamic Variables with Statistical Mechanical Quantities

15. Summary of Ensembles

16. Transition from Quantum to Classical Statistics

17. Entropy and Irreversibility in Thermodynamics

CHAPTER 4. FLUCTUATIONS

18. Introduction

19. Fluctuations According to the Various Ensembles

20. Thermodynamic Equivalence of Ensembles

21. Composition Fluctuations in Multicomponent Systems

CHAPTER 5. THEORY OF IMPERFECT GASES AND CONDENSATION

22. The Partition Function and Cluster Integrals

23. Pressure of the Gas Expressed as a Power Series in the Activity

24. Irreducible Cluster Integrals

25. The Virial Expansion for the Gas

26. Alternative Derivations

27. Exact Treatment of Physical Clusters

28. Theory of Condensation

CHAPTER 6. DISTRIBUTION FUNCTIONS AND THE THEORY OF THE LIQUID STATE

A. CANONICAL ENSEMBLE

  29. Definition of Distribution and Correlation Functions

  30. Thermodynamic Functions of a Fluid and the Radial Distribution Function

  31. Potential of Mean Force and the Superposition Approximation

  32. The Kirkwood Integral Equation

  33. The Born-Green-Yvon Integral Equation

  34. Radial Distribution Function and Superposition Approximation in Gases

  35. Fluid of Hard Spheres According to the Superposition Approximation

  36. Fluid with Modified Lennard-Jones Molecular Interaction Potential According to the Superposition Approximation

B. GRAND CANONICAL ENSEMBLE

  37. "Distribution Functions in Monatomic, One-component Systems"

  38. The Kirkwood-Salsburg Integral Equation

  39. Distribution Functions at a Phase Transition

  40. "Distribution Functions in Polyatomic, Multicomponent Systems"

CHAPTER 7. NEAREST-NEIGHBOR LATTICE STATISTICS

41. Thermodynamics and Interconnections

42. Exat and Formal Methods

43. One-dimensional Lattice

44. Two-dimensional Lattice

45. Three-dimensional Lattice

46. Approximate Methods

CHAPTER 8. LATTICE THEORIES OF THE LIQUID AND SOLID STATES

47. Communal Entropy and Free Volume

48. General Free-volume Theory

49. The Lennard-Jones and Devonshire Theory

50. Hole Theories of the Liquid and Solid States

APPENDIXES

1. Natural Constants

2. "One-component, Perfect Monatomic Gas"

3. Binary Perfect-gas Mixture

4. One-component Perfect Lattice Gas

5. Multilayer Gas Adsorption

6. Quantum and Classical Limits

7. Normalization of Radial Distribution Function

8. Glossary of Certain Definitions in Chapter 7

9. First-order Phase Transitions

10. Gas Adsorption on a Solid Surface

INDEX

Product Details

ISBN:
9780486653907
Author:
Hill, Terrell L.
Publisher:
Dover Publications
Author:
Physics
Subject:
Physics
Subject:
Chemistry - General
Subject:
Mechanics
Subject:
Mathematical Physics
Subject:
Statistical mechanics
Subject:
Mechanics - General
Subject:
Physics-General
Edition Description:
Trade Paper
Series:
Dover Books on Physics
Publication Date:
19870731
Binding:
TRADE PAPER
Language:
English
Pages:
464
Dimensions:
8.5 x 5.38 in 1.06 pd

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Related Subjects

Engineering » Mechanical Engineering » General
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Statistical Mechanics: Principles and Applications New Trade Paper
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Product details 464 pages Dover Publications - English 9780486653907 Reviews:
"Synopsis" by ,
Standard text covers classical statistical mechanics, quantum statistical mechanics, relation of statistical mechanics to thermodynamics, plus fluctuations, theory of imperfect gases and condensation, distribution functions and the liquid state, more.
"Synopsis" by ,
Standard text opens with clear, concise chapters on classical statistical mechanics, quantum statistical mechanics, and the relation of statistical mechanics to thermodynamics. Further topics cover fluctuations, the theory of imperfect gases and condensation, distribution functions and the liquid state, nearest neighbor (Ising) lattice statistics, and more.
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