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Statistical Physics (Dover Books on Physics & Chemistry)

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Statistical Physics (Dover Books on Physics & Chemistry) Cover

 

Synopses & Reviews

Publisher Comments:

Until recently, the field of statistical physics was traditionally taught as three separate subjects: thermodynamics, statistical mechanics, and kinetic theory. This text, a forerunner in its field and now a classic, was the first to recognize the outdated reasons for their separation and to combine the essentials of the three subjects into one unified presentation of thermal physics. It has been widely adopted in graduate and advanced undergraduate courses, and is recommended throughout the field as an indispensable aid to the independent study and research of statistical physics.

Designed for a one-year course of instruction for non-specialist graduate students, or advanced undergraduates, the book is divided into three parts. Principles of Statistical Thermodynamics (Part I) covers the first and second laws of thermodynamics, elementary statistical methods in physics, and other topics, including an especially clear and enlightening discussion of thermodynamic potentials and their applications.

Part II, devoted to equilibrium statistics of special systems, offers excellent coverage of the imperfect gas, lattice dynamics, the statistics of semiconductors, the two-dimension Ising model, and a particularly lucid chapter on dilute solutions. Moreover, the treatment of topics in solid state physics is more extensive than is usually found in books on statistical mechanics.

Kinetic theory, transport coefficients, and fluctuations comprise Part III, with a fine presentation of the Kac ring model; the Boltzmann transport equation; kinetics of charge carriers in solids, liquids, and gases; fluctuations and Brownian motion, and more.

A liberal quantity of problems has been added to each chapter, including a special section of "recommended problems," whose solutions will insure an adequate understanding of the text. Solutions of all problems will be found at the back of the book along with a list of supplementary literature.

Synopsis:

Classic text combines thermodynamics, statistical mechanics and kinetic theory in one unified presentation of thermal physics. Problems with solutions. Bibliography.

Synopsis:

Classic text combines thermodynamics, statistical mechanics, and kinetic theory in one unified presentation. Topics include equilibrium statistics of special systems, kinetic theory, transport coefficients, and fluctuations. Problems with solutions. 1966 edition.

Synopsis:

This classic text combines thermodynamics, statistical mechanics, and kinetic theory in a single unified presentation of thermal physics. The three-part treatment covers the principles of statistical thermodynamics, equilibrium statistics of special systems, and kinetic theory, transport coefficients, and fluctuations. Numerous problems with solutions. Supplemental reading. 1966 edition.

Synopsis:

This classic text combines thermodynamics, statistical mechanics, and kinetic theory in a single unified presentation of thermal physics. The three-part treatment covers the principles of statistical thermodynamics, equilibrium statistics of special systems, and kinetic theory, transport coefficients, and fluctuations. Numerous problems with solutions. Supplemental reading. 1966 edition.

Table of Contents

PART I Principles of statistical thermodynamics

1 The first law of thermodynamics

1-1. Systems and state variables

1-2. The equation of state

1-3. "Large" and "small" systems; statistics of Gibbs versus Boltzman"

1-4. "The First Law; heat, work, and energy"

1-5. Precise formulation of the First Law for quasistatic change

Problems

2 Elementary statistical methods in physics

2-1. Probability distributions; binomial and Poisson distributions

2-2. Distribution function for large numbers; Gaussian distribution

2-3. Statistical dealing with averages in time; virial theorem

Problems

3 Statistical counting in mechanics

3-1. Statistical counting in classical mechanics; Liouville theorem and ergodic hypothesis

3-2. Statistical counting in quantum mechanics

Problems

4 The Gibbs-Boltzmann distribution law

4-1. Derivation of the Gibbsian or canonical distribution

4-2. Elucidation of the temperature concept

4-3. The perfect gas; Maxwellian distribution

4-4. Energy distribution for small and large samples; thermodynamic limit

4-5. Equipartition theorem and dormant degrees of freedom

Problems

5 Statistical justification of the Second Law

5-1. Definition of entropy; entropy and probability

5-2. "Proof of the Second Law for "clamped" systems"

5-3. The Ehrenfest or adiabatic principle

5-4. Extension of the Second Law to general systems

5-5. Simple examples of entropy expressions

5-6. Examples of entropy-increasing processes

5-7. Third Law of thermodynamics

Problems

6 Older ways to the Second Law

6-1. Proof by the method of Carnot cycles

6-2. Proof of Caratheodory

Problems

7 Thermodynamic exploitation of the Second Law; mass transfer problems

7-1. Legendre transformations and thermodynamic potentials

7-2. Thermodynamics of bulk properties; extensive and intensive variables

7-3. Equilibrium of two phases; equation of Clausius and Clapeyron

7-4. "Equilibrium of multiphase, multicomponents systems; Gibbs' phase rule"

7-5. Refined study of the two-phase equilibrium; vapor pressure of small drops

Problems

8 The grand ensemble; classical statistics of independent particles

8-1. Statistics of the grand ensemble

8-2. Other modified statistics; Legendre-transformed partition functions

8-3. Maxwell-Boltzmann particle statistics

8-4. Particle versus system partition function; Gibbs paradox

8-5. Grand ensemble formulas for Boltzmann particles

Problems

9 Quantum statistics of independent particles

9-1. Pauli exclusion principle

9-2. Fermi-Dirac statistics

9-3. Theory of the perfect Fermi gas

9-4. Bose-Einstein statistics

9-5. The perfect Bose gas; Einstein condensation

PART II Equilibrium statistics of special systems

10 Thermal properties of electromagnetic radiation

10-1. Realization of equilibrium radiation; black body radiation

10-2. Thermodynamics of black body radiation; laws of Stefan-Boltzmann and Wien

10-3. Statistics of black body radiation; Planck's formula

Problems

11 Statistics of the perfect molecular gas

11-1. Decomposition of the degrees of freedom of a perfect molecular gas

11-2. Center-of-mass motion of gaseous molecules

11-3. Rotation of gaseous molecules

11-4. The rotational heat capacity of hydrogen

11-5. Vibrational motion of diatomic molecules

11-6. The law of mass action in perfect molecular gases

Problems

12 The problem of the imperfect gas

12-1. Equation of state from the partition function

12-2. Equation of state from the virial theorem

12-3. Approximate results from the virial theorem; van der Waals' equation

12-4. The Joule-Thomson effect

12-5. Ursell-Mayer expansion of the partition function; diagram summation

12.6 Mayer's cluster expansion theorem

12-7. Mayer's formulation of the equation of state of imperfect gases

12-8. Phase equilibrium between liquid and gas; critical phenomenon

Problems

13 Thermal properties of crystals

13-1. Relation between the vibration spectrum and the heat capacity of solids

13-2. Vibrational bands of crystals; models in one dimension

13-3. Vibrational bands of crystals; general theory

13-4. Debye theory of the heat capacity of solids

13-5. Vapor pressure of solids

Problems

14 Statistics of conduction electrons in solids

14-1. The distinction of metals and insulators in fermi statistics

14-2. Semiconductors: electrons and holes

14-3. Theory of thermionic emission

14-4. Degeneracy and non-degeneracy: electronic heat capacity in metals

14-5. "Doped" semiconductors: n-p junctions"

Problems

15 Statistics of magnetism

15-1. Paramagnetism of isolated atoms and ions

15-2. Pauli paramagnetism

15-3. Ferromagnetism; internal field model

15-4. Ferromagnetism; Ising model

15-5. Spin wave theory of magnetization

Problems

16 Mathematical analysis of the Ising model

16-1. Eigenvalue method for periodic nearest neighbor systems

16-2. One-dimensional Ising model

16-3. Solution of the two-dimensional Ising model by abstract algebra

16-4. Analytic reduction of the results for the two dimensional Ising model

17 Theory of dilute solutions

17-1. Thermodynamic functions for dilute solutions

17-2. Osmotic pressure and other modifictions of solvent properties

17-3. Behavior of solutes in dilute solutions; analogy to perfect gases

17-4. Theory of strong electrolytes

Problems

"PART III Kinetic theory, transport coefficients and fluctuations"

18 Kinetic justification of equilibrium statistics; Boltzmann transport equation

18-1. Derivation of the Boltmann transport equation

18-2. Equilibrium solutions of the Boltzmann transport equation; Maxwellian distribution

18-3. Boltzmann's H-theorem

18-4. Paradoxes associated with the Boltzmann transport equation; Kac ring model

18-5. Relaxation rate spectrum for Maxwellian molecules

18-6. Formal relaxtion theory of the Boltzmann equation

Problems

19 Transport properties of gases

19-1. Elementary theory of transport phenomena in gases

19-2. Determination of transport coefficients from the Boltzmann equation

19-3. Discussion of empirical viscosity data

Problems

20 Kinetics of charge carriers in solids and liquids

20-1. Kinetic theory of Ohmic conduction

20-2. Nature of the charge carriers in matter; Nernst relation

20-3. Nature of the electric carriers in metals; law of Wiedmann and Franz

20-4. Separation of carrier density and carrier velocity; Hall effect

Problems

21 Kinetics of charge carriers in gases

21-1. Kinetics of the polarization force

21-2. "High field" velocity distribution of ions and electrons in gases"

21-3. Velocity distribution functions for electrons; formulas of Davydov and Druyvesteyn

22 Fluctuations and Brownian motion

22-1. Equilibrium theory of fluctuations

22-2. Brownian motion

22-3. Spectral decompostion of Brownian motion ; Wiener-Khinchin theorem

Problems

23 Connection between transport coefficients and equilibrium statistics

23-1. Nyquist relation

23-2. Kubo's equilbrium expression for electrical conductivity

23-3. Reduction of the Kubo relation to those of Nernst and Nyquist

23-4. Onsager relations

Problem

Supplementary Literature

Answers to Problems

Index

Product Details

ISBN:
9780486654010
Author:
Wannier, Gregory H.
Publisher:
Dover Publications
Author:
Physics
Location:
New York :
Subject:
Physics
Subject:
Mechanics
Subject:
Mathematical Physics
Subject:
Statistical physics
Subject:
Mechanics - General
Subject:
Physics-General
Copyright:
Edition Description:
Trade Paper
Series:
Dover Books on Physics & Chemistry
Publication Date:
20101031
Binding:
TRADE PAPER
Language:
English
Illustrations:
Yes
Pages:
560
Dimensions:
8.5 x 5.38 in 1.31 lb

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Related Subjects


Science and Mathematics » Physics » Classical Mechanics
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Statistical Physics (Dover Books on Physics & Chemistry) New Trade Paper
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Product details 560 pages Dover Publications - English 9780486654010 Reviews:
"Synopsis" by , Classic text combines thermodynamics, statistical mechanics and kinetic theory in one unified presentation of thermal physics. Problems with solutions. Bibliography.

"Synopsis" by ,
Classic text combines thermodynamics, statistical mechanics, and kinetic theory in one unified presentation. Topics include equilibrium statistics of special systems, kinetic theory, transport coefficients, and fluctuations. Problems with solutions. 1966 edition.
"Synopsis" by , This classic text combines thermodynamics, statistical mechanics, and kinetic theory in a single unified presentation of thermal physics. The three-part treatment covers the principles of statistical thermodynamics, equilibrium statistics of special systems, and kinetic theory, transport coefficients, and fluctuations. Numerous problems with solutions. Supplemental reading. 1966 edition.
"Synopsis" by ,
This classic text combines thermodynamics, statistical mechanics, and kinetic theory in a single unified presentation of thermal physics. The three-part treatment covers the principles of statistical thermodynamics, equilibrium statistics of special systems, and kinetic theory, transport coefficients, and fluctuations. Numerous problems with solutions. Supplemental reading. 1966 edition.
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