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2. Course Outline. Instructor:? ? ? ?? (??? Rm 412 Ext. 33412) Textbook:Herbert B. Callen, 1985,
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1. Instructor: Prof. Chi-Chung Hua Advanced Thermodynamics
2. 2 Course Outline Instructor: ? ? ? ?? (??? Rm 412 Ext. 33412)
Textbook: Herbert B. Callen, 1985, “Thermodynamics and Introduction to Thermostatistics”, 2nd ed., John Wiley & Sons, Inc. (??????)
Grading: Homework (20 %)
Two Exams (80 %)
Teaching assistants: ??????? (Rm 301, Ext. 23471)
3. 3 Part one: Classic Thermodynamics
Chapter 1: Basic Concepts and Principles
Chapter 2: Thermodynamic potentials and Legendre Transformations
Chapter 3: Stabilities, Phase Transitions, and Critical Phenomena
Chapter 4: Applications to Material Properties
Part two: Statistic Thermodynamics
Chapter 5: Statistic Ensembles and Energy Representations
Chapter 6: Some Applications of Statistic Mechanics
4. 4
5. 5 Thermodynamic Equilibrium and Postulate I 1-1.1 Thermodynamic coordinates
6. 6 Q1: How to select variables of an experimental or simulation system?
7. 7
8. 8
9. 9 1-1.2 Definition of equilibrium states System has no external influences (such as flow, electrical fields).
All thermodynamic properties must be “time invariance” (time independent).
10. 10 1-1.3 Limitations of thermodynamic equilibrium
11. 11 The Entropy Maximum Postulates: Postulate II & III
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15. 15 Intensive Parameters and Equations of State 1-3.1 Extensive parameters & intensive parameters
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27. 27 The Euler Equation and the Gibbs-Duhem Relation 1-4.1 The Euler relation
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32. 32 Homework Problem 1.10-1: (a), (f), (g), (i)
Problem 2.2-1
Problem 3.3-2
Read Sec. 3-5 (The ideal van der Waals fluid)
33. 33 Thermodynamic Potentials and Legendre Transformations Contents
2-1 Legendre Transformations
2-2 The Legendre Transformed Functions and Thermodynamic Potentials
2-3 Minimum Principles for the Potentials
2-4 Applications of various Legendre Transformed Potentials
2-5 Maxwell Relations and Some Applications
34. 34 Legendre Transformations 2-1.1 The S max. principle & the U min. principle
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42. 42 The Legendre Transformed Functions and Thermodynamic Potentials
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47. 47 Minimum Principles for the Potentials
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53. 53 Applications of various Legendre Transformed Potentials 2-4.1 The Helmholtz potential
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62. 62 Maxwell Relations and Some Applications 2-5.1 The Maxwell relations & mnemonic diagram
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75. 75 Homework Problem 5.3-1
Problem 5.3-12
Problem 6.3-2
Problem 7.4-7
Problem 7.4-15
Problem 7.4-23
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77. 77 Stability Conditions for Thermodynamic Potentials 3-1.1 Intrinsic stability of thermodynamic systems
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85. 85 Le Chaterlier’s Principle and the Effects of Fluctuations 3-2.1 Le Chatelier’s principle
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89. 89 First-order Phase Transitions in Single-Component Systems 3-3.1 First-order & second-order phase transitions
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108. 108 Thermodynamic States near Critical Points 3-4.1 Features in the vicinity of the critical point
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113. 113 Homework Problem 9.1-1
Problem 9.3-3
Problem 9.4-11
Problem 9.7-1
114. 114 Applications to Material Properties Contents
4-1 The general ideal gas
4-2 Small Deviations from Ideality—The Virial Expansion
4-3 Law of Corresponding States for Gases
4-4 Applications to Dilute Solutions—The van’t Hoff Relation and the Raoult’s law
4-H Homework
115. 115 The general ideal gas 4-1.1 The essence of ideal gas behavior
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119. 119
120. 120 Small Deviations from Ideality—The Virial Expansion 4-2.1 Virial expansion
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122. 122
123. 123 Law of Corresponding States for Gases 4-3.1 Important observations for gases
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126. 126
127. 127 Applications to Dilute Solutions—the van’t Hoff Relation and the Raoult’s law 4-4.1 the van’t Hoff relation for osmotic pressure
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131. 131 Homework Problem 13.2-2
Problem 13.5-2
Problem 13.5-3
132. 132 Statistic Ensembles and Formulism Contents
5-1 The entropy representation—the Boltzmann’s law
5-1.1 Physical significance of entropy for closed system (15.1)
5-1.2 The Einstein model of a crystalline solid (15.2)
5-1.3 The two-state system (15.3); a polymer model (15.4)
5-2 The Canonical Formalism
5-2.1 The probability distribution (16.1)
5-2.2 The partition function (16.2)
5-2.3 The classical ideal gas (16.10)
5-3 Generalized Canonical Formulations
5-3.1 Entropy as a measure of disorder (17.1)
5-3.2 The grand canonical formalism (17.3)
133. 133 The Entropy Representation—the Boltzmann’s law 5-1.1 Physical significance of entropy for closed system
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149. 149 The Canonical Formalism 5-2.1 The probability distribution
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166. 166 Generalized Canonical Formulations 5-3.1 Entropy as a measure of disorder
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180. 180 Homework Problem 15.1-1
Problem 15.2-1
Problem 15.4-4
Problem 16.1-1
Problem 16.1-4
Problem 16.2-1
Problem 16.10-4
181. 181 Statistical Fluctuations and Solution Strategies Contents
6-1 Fluctuations
6-1.1 The probability distribution of fluctuations (19.1)
6-1.2 Moments and the energy fluctuations (19.2)
6-2 Quantum Fluids
6-2.1 Quantum particle-fermions and bosons (18.1)
6-2.2 The ideal Fermi fluid (18.2)
6-2.3 The ideal Bose fluid (18.5)
6-2.4 The classical limit and the quantum criterion (18.3)
6-2.5 The strong quantum regime: electrons in a metal (18.4)
6-2.6 Bose condensation (18.7)
182. 182 Fluctuations 6-1.1 The probability distribution of fluctuations
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189. 189 Quantum Fluids
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