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 |