UID:
almahu_9948025637102882
Format:
1 online resource (417 p.)
Edition:
3rd ed.
ISBN:
1-281-07715-1
,
9786611077150
,
0-08-053080-X
Content:
Following the Boltzmann-Gibbs approach to statistical mechanics, this new edition of Dr ter Haar's important textbook, Elements of Statistical Mechanics, provides undergraduates and more senior academics with a thorough introduction to the subject. Each chapter is followed by a problem section and detailed bibliography.The first six chapters of the book provide a thorough introduction to the basic methods of statistical mechanics and indeed the first four may be used as an introductory course in themselves. The last three chapters offer more detail on the equation of state, with s
Note:
Description based upon print version of record.
,
Front Cover; Elements of Statistical Mechanics; Copyright Page; Table of Contents; Preface to the third edition; Preface to the second edition; Preface to the first edition; Chapter 1. The Maxwell distribution; 1.1. The Maxwell distribution; 1.2. The perfect gas law; 1.3. The van der Wads law; 1.4. Collisions; 1.5. The H-theorem; 1.6. The connection between H and entropy; 1.7. The connection between H and probability; Problems; Bibliographical notes; Chapter 2. The Maxwell-Boltzmann distribution; 2.1. The barometer formula; 2.2. The μ-space; 2.3. The H-theorem; H and probability
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2.4. Applications of the Maxwell-Boltzmann formula 2.5. The Boltzmann transport equation; 2.6. External parameters; 2.7. The phase integral; connection with thermodynamics; Problems; Bibliographical notes; Chapter 3. The partition function; 3.1. The partition function; 3.2. The harmonic oscillator; 3.3. Planck's radiation law; 3.4. The transition to classical statistics; 3.5. The rigid rotator: the hydrogen molecule; Problems; Bibliographical notes; Chapter 4. Bose-Einstein and Fermi-Dirac statistics; 4.1. Deviations from Boltzmann statistics; 4.2. The probability aspect of statistics
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4.3. The elementary method of statistics4.4. Connection with thermodynamics; 4.5. The Darwin-Fowler method; 4.6. The perfect Boltzmann gas; 4.7. The perfect Bose-Einstein gas; 4.8. The perfect Fermi-Dirac gas; 4.9. Are all particles bosons or fermions?; Problems; Bibliographical notes; Chapter 5. Classical ensembles; 5.1. The Γ-space; ensembles; 5.2. Stationary ensembles; 5.3. The macrocanonical ensemble; 5.4. Fluctuations in a macrocanonical ensemble; 5.5. The entropy in a macrocanonical ensemble; 5.6. The coupling of two macrocanonical ensembles; 5.7. Microcanonical ensembles
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5.8. Application: the perfect gas5.9. Grand ensembles; 5.10. Fluctuations in a canonical grand ensemble; 5.11. The coupling of two canonical grand ensembles; 5.12. Application of the theory of classical grand ensembles to a perfect gas; 5.13. The relationship between ensembles and actually observed systems; 5.14. Ergodic theory and the H-theorem in ensemble theory; Problems; Bibliographical notes; Chapter 6. The ensembles in quantum statistics; 6.1. The density matrix; 6.2. Pure case and mixed case; 6.3. Macrocanonical ensembles in quantum statistics
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6.4. Canonical grand ensembles in quantum statistics6.5. The H-theorem in quantum statistics; 6.6. The perfect Boltzmann gas; 6.7. The perfect Bose-Einstein gas; 6.8. The perfect Fermi-Dirac gas; 6.9. The Saha equilibrium; 6.10. The relativistic electron gas; Problems; Bibliographical notes; Chapter 7. The equation of state of an imperfect gas; 7.1. The equation of state; 7.2. The van der Waals equation of state; Problems; Bibliographical notes; Chapter 8. The occupation number representation; 8.1. Quasi-particles and elementary excitations
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8.2. The occupation number representation for bosons
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English
Additional Edition:
ISBN 0-7506-2347-0
Language:
English
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