An Introduction to Statistical Mechanics and Thermodynamics (1st edn)
An Introduction to Statistical Mechanics and Thermodynamics (1st edn)
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Abstract
This book is an introduction to statistical mechanics and thermodynamics. Relevant probability theory is included. Part 1 develops the basic ideas of statistical mechanics, as illustrated by a complete derivation of the entropy of the classical ideal gas based on Boltzmann's 1877 definition. This leads to a systematic development of thermodynamics in Part 2. Part 3 is devoted to classical statistical mechanics, including a discussion of irreversibility. Part 4 covers quantum statistical mechanics, including lattice vibrations, black-body radiation, Bose-Einstein statistics, Fermi-Dirac statistics, and the Ising model of phase transitions. The text presents many problems that support conceptual development, with a strong emphasis on computational methods. A manual with complete solutions to all problems is available to instructors.
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Front Matter
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1
1 Introduction
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Part I
Entropy-
2
2 The Classical Ideal Gas
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3
3 Discrete Probability Theory
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4
4 The Classical Ideal Gas: configurational Entropy
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5
5 Continuous Random Numbers
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6
6 The Classical Ideal Gas:Energy-Dependence of Entropy
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7
7 Classical Gases: Ideal and Otherwise
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8
8 Temperature, Pressure, Chemical Potential, and All That
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2
2 The Classical Ideal Gas
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Part II
Thermodynamics-
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The Postulates and Laws of Thermodynamics
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10
10 Perturbations of Thermodynamic State Functions
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11
11 Thermodynamic Processes
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12
12 Thermodynamic Potentials
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13
13 The Consequences of Extensivity
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14
14 Thermodynamic Identities
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15
15 Extremum Principles
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16
16 Stability Conditions
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17
17 Phase Transitions
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18
18 The Nernst Postulate: the Third Law of Thermodynamics
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9
The Postulates and Laws of Thermodynamics
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Part III
Classical Statistical Mechanics -
Part IV
Quantum Statistical Mechanics -
End Matter
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