States of Matter

by
Format: Hardcover
Pub. Date: 2002-05-01
Publisher(s): Dover Publications
List Price: $57.75

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Summary

Overview covers thermodynamics and statistical mechanics; gases, solids, and liquids; perfect gases; electronics in metals; and the Bose condensation. Also: structure of a fluid, potential energy, interacting gases and liquids, Weiss molecular field theory, van der Waals equation, and other pertinent aspects of phase transitions. 154 figures .1975 edition.

Table of Contents

Preface xi
Thermodynamics and Statistical Mechanics
1(97)
Introduction: Thermodynamics and Statistical Mechanics of the Perfect Gas
1(9)
Thermodynamics
10(31)
The Laws of Thermodynamics
10(3)
Thermodynamic Quantities
13(6)
Magnetic Variables in Thermodynamics
19(4)
Variational Principles in Thermodynamics
23(2)
Examples of the Use of Variational Principles
25(4)
Thermodynamic Derivatives
29(5)
Some Applications to Matter
34(7)
Statistical Mechanics
41(42)
Reformulating the Problem
43(6)
Some Comments
49(4)
Some Properties of Z and J
53(2)
Distinguishable States: Application to the Perfect Gas
55(6)
Doing Sums over States as Integrals
61(10)
Fluctuations
71(12)
Remarks on the Foundations of Statistical Mechanics
83(15)
Quantum and Thermodynamic Uncertainties
83(4)
Status of the Equal Probabilities Postulate
87(2)
Ensembles
89(1)
Appendix A. Thermodynamic Mnemonic
90(8)
Perfect Gases
98(44)
Introduction
98(1)
The Ideal Gas
99(6)
Bose-Einstein and Fermi-Dirac Statistics
105(5)
Slightly Degenerate Perfect Gases
110(4)
The Very Degenerate Fermi Gas: Electrons in Metals
114(13)
The Bose Condensation: A First Order Phase Transition
127(15)
Solids
142(85)
Introduction
142(2)
The Heat Capacity Dilemma
144(16)
The Einstein Model
147(5)
Long Wavelength Compressional Modes
152(2)
The Debye Model
154(6)
Normal Modes
160(15)
Crystal Structures
175(8)
Crystal Space: Phonons, Photons, and the Reciprocal Lattice
183(12)
Diffraction of X rays
185(1)
The Reciprocal Lattice and Brillouin Zones
186(5)
Umklapp Processes
191(3)
Some Orders of Magnitude
194(1)
Electrons in Crystals
195(32)
A Semiqualitative Discussion
195(7)
The Kronig-Penney Model
202(10)
The Fermi Surface: Metal or Nonmetal?
212(15)
Liquids and Interacting Gases
227(93)
Introduction
227(4)
The Structure of a Fluid
231(17)
Measuring the Structure
232(5)
The Statistical Mechanics of Structure
237(9)
Applicability of This Approach
246(2)
The Potential Energy
248(12)
The Pair Potential
250(2)
The Approximation of Pairwise Additivity
252(8)
Interacting Gases
260(23)
Cluster Expansions and the Dilute Gas
260(3)
Behavior and Structure of a Dilute Gas
263(3)
The Liquefaction of Gases and the Joule-Thomson Process
266(5)
Higher Densities
271(12)
Liquids
283(37)
The Yvon-Born-Green Equation
284(4)
The Hypernetted Chain and Percus-Yevick Equations
288(14)
Comments and Comparisons
302(18)
Some Special States
320(116)
Introduction
320(1)
Superfluidity
321(50)
Properties of Liquid Helium
321(6)
The Bose Gas as a Model for Superfluidity
327(8)
Two-Fluid Hydrodynamics
335(7)
Phonons and Rotons
342(6)
The Feynman Theory
348(12)
A Few Loose Ends
360(11)
Superconductivity
371(40)
Introduction
371(4)
Some Thermodynamic Arguments
375(11)
Electron Pairs
386(6)
The BCS Ground State
392(12)
The Superconducting State
404(7)
Magnetism
411(25)
Introduction
411(1)
Magnetic Moments
412(7)
Paramagnetism
419(2)
Ferromagnetism
421(15)
Critical Phenomena and Phase Transitions
436(58)
Introduction
436(2)
Weiss Molecular Field Theory
438(5)
The van der Waals Equation of State
443(10)
Analogies Between Phase Transitions
453(4)
The Generalized Theory
457(16)
Equilibrium Behavior
459(4)
Fluctuations
463(10)
Critical Point Exponents
473(5)
Scaling Laws: Physics Discovers Dimensional Analysis
478(6)
Evaluation and Summary: Testing the Scaling Laws
484(10)
Index 494

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