1. Introduction to Statistical Methods
Random Walk and Binomial Distribution / General Discussion of the Random Walk
2. Statistical Description of Systems of Particles
Statistical Formulation of the Mechanical Problem / Interaction between Macroscopic Systems
3. Statistical Thermodynamics
Irreversibility and the Attainment of Equilibrium / Thermal Interaction between Macroscopic Systems / General Interaction between Macroscopic Systems / Summary of Fundamental Results
4. Macroscopic Parameters and Their Measurement
Work and Internal Energy/Heat/Absolute Temperature/Heat Capacity and Specific Heat/Entropy/Consequences of the Absolute Definition of Entropy/Extensive and Intensive Parameters
5. Simple Applications of Macroscopic Thermodynamics
Properties of Ideal Gases / General Relations for a Homogeneous Substance / Free Expansion and Throttling Processes / Heat Engines and Refrigerators
6. Basic Methods and Results of Statistical Mechanics
Ensembles Representative of Situations of Physical Interest / Approximation Methods / Generalizations and Alternative Approaches
7. Simple Applications of Statistical Mechanics
General Method of Approach / Ideal Monatomic Gas / The Equipartition Theorem / Paramagnetism / Kinetic Theory of Dilute Gases in Equilibrium
8. Equilibrium between Phases or Chemical Species
General Equilibrium Conditions / Equilibrium between Phases / Systems with Several Components; Chemical Equilibrium
9. Quantum Statistics of Ideal Gases
Maxwell-Boltzmann, Bose-Einstein, and Fermi-Dirac Statistics / Ideal Gas in the Classical Limit / Black-Body Radiation / Conduction Electrons in Metals
10. Systems of Interacting Particles
Solids / Nonideal Classical Gas / Ferromagnetism
11. Magnetism and Low Temperatures
Magnetic work/Magnetic Cooling/Measurement of Very Low Absolute Temperatures/Superconductivity
12. Elementary Kinetic Theory of Transport Processes
Collision Time/Collision Time and Scattering Cross Section/Viscosity/Thermal conductivity/Self-diffusion/Electrical Conductivity
13. Transport Theory Using the Relaxation Time Approximation
Transport Process and Distribution Functions/Boltzmann Equation In The Absence of Collisions/Path Integral Formulation/Example: Calculation of Electrical Conductivity/Example: Calculation of Viscosity/Boltzmann Differential Equation Formulation/Equivalence of The Two Formulations/Example of The Boltzmann Equation Method
14. Near-Exact Formulation of Transport Theory
Description of Two-particle Collisions/Scattering Cross Sections and Symmetry properties/Derivation of The Boltzmann Equation/Equation of Change for Mean Values/Conservation Equations and Hydrodynamics/Example: Simple Discussion of Electrical Conductivity/ Approximation Methods For Solving The Boltzmann Equation/Example: Calculation of The Coefficient of Viscosity
15. Irreversible Processes and Fluctuations
Transition Probabilities and Master Equation / Simple Discussion of Brownian Motion / Detailed Analysis of Brownian Motion / Calculation of Probability Distributions / Fourier Analysis of Random Functions / General Discussion of Irreversible Processes
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