MICROSCOPIC THERMODYNAMICS
Irey, Ansari and Pohl 1972
PART I THE MICROSCOPIC SECOND LAW
| Unit IIIA |
Equilibrium - A Microscopic Understanding |
| | Introduction and Objectives |
| I. |
THE BEHAVIOR OF INDIVIDUAL PARTICLES |
| | A. The Particle |
| | B. Quantum Mechanics |
| | C. Energy States, Energy Levels and Degeneracy |
| II. |
GROUP PARTICLE BEHAVIOR |
| | A. Macrostate Distributions |
| | B. Microstates |
| | Boltzon Macrostate Probabilities |
| | Indistinguishable Particle Macrostate Probabilities |
| | Properties |
| III. |
EQUILIBRIUM |
| | A. Extrapolation to Large Systems |
| | B. Approach to Equilibrium |
|
Unit IIIB | Entropy, Equilibrium and the Second Law |
| | Introduction and Objectives |
| I. | ENTROPY DEFINED |
| II. |
EQUILIBRIUM DISTRIBUTION FUNCTIONS |
| | A. The Distribution Function for Boltzons |
| | B. Distribution Functions for Bosons and Fermions |
| III. | ENTROPY IN MACROSCOPIC TERMS, THE GIBB'S EQUATION |
| IV. | DETERMINING ENTROPY PRODUCTION |
| | A. Mechanical Entropy Production |
| | B. Thermal Entropy Production |
| | Summary Questions |
| | Appendix A: Differentiation of SMB |
| | Appendix B: Equilibrium in Fermions and Bosons |
PART II APPLIED MICROSCOPIC THERMODYNAMICS
| Unit IIIC |
Microscopic Calculation of Perfect Gas Properties |
| | Introduction and Objectives |
| I. |
THE INDISTINGUISHABLE LIMIT |
| II. |
EVALUATION OF THE PARTITION FUNCTION |
| | A. External and Internal Modes |
| | B. The Characteristic Temperature of a Mode |
| III. | THE CHARACTERISTICS OF ENERGY MODES |
| | A. The External (Translational) Modes |
| | B. The Rotational (and Nuclear Spin) Mode |
| |
C. The Vibrational Mode |
| |
D. Electronic (Dissociation) Mode |
| IV. | PROPERTIES OF MOLECULAR PERFECT GASES |
| | Appendix A: Further Consideration ~ Translational Mode MODE |
| | Appendix B: Ionization, Dissociation, and Chemical Energy |
| Unit IIID |
Properties of Gases with Low-Mass Particles. |
| | Introduction and Objectives |
| I. | PROPERTIES OF WAVES |
| | A. Properties of a Photon Gas |
| | B. Lattice Vibrations (The Phonon Gas) |
| II. | PROPERTIES: FREE ELECTRONS |
| III. | PROPERTIES: SOLIDS |
| | Appendix A: Molecular Lattice Point Crystals |
| Unit IIIE |
Transport Processes |
| | Introduction and Objectives |
| I. | INTER-PARTICLE FLUX |
| | A. Speed Distributions |
| | B. Inter-Particle Flux |
| | C. Inter-Particle Collisions |
| II. | FREE PARTICLE RADIATION TRANSPORT |
| III. | CONTINUUM TRANSPORT |
| | A. Transport Properties of Molecular Gases |
| | B. Transport Properties of Solids |
| | Appendix A: Continuum Diffusion |
| | TABLE 1: Exponential Integrals |
| | TABLE 2: Collision Cross Sections |