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Fundamental Principles of Statistical Mechanics | |
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Review of Classical Mechanics | |
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Systems and Ensembles | |
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Liouville Theorem | |
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The Microcanonical Ensemble | |
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Entropy in Statistical Mechanics | |
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Elementary Example of Probability Distribution and Entropy | |
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Conditions for Equilibrium | |
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Connection Between Statistical and Thermodynamic Quantities | |
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Calculation of the Entropy of a Perfect Gas Using the Microcanonical Ensemble | |
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Quantum Mechanical Considerations | |
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The Canonical Ensemble | |
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Thermodynamic Functions for the Canonical Ensemble | |
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Maxwell Velocity Distribution and the Equipartition of Energy | |
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Grand Canonical Ensemble | |
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Chemical Potential in External Fields | |
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Chemical Reactions | |
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Thermodynamic Properties of Diatomic Molecules | |
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Thermodynamics and Statistical Mechanics of Magnetization | |
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Fermi-Dirac Distribution | |
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Heat Capacity of a Free Electron Gas at Low Temperatures | |
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Bose-Einstein Distribution and the Einstein Condensation | |
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Black Body Radiation and the Planck Radiation Law | |
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Density Matrix and Quantum Statistical Mechanics | |
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Negative Temperatures | |
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Fluctuations, Noise, and Irreversible Thermodynamics | |
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Fluctuations | |
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Quasi-thermodynamic Theory of Fluctuations | |
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Review of the Fourier Integral Transform and Topics in the Theory of Random Processes | |
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Wiener-Khintchine theorem | |
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The Nyquist Theorem | |
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Applications of the Nyquist Theorem | |
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Brownian Movement | |
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Fokker-Planck Equation | |
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Thermodynamics of Irreversible Process and the Onsager Reciprocal Relations | |
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Application of the Onsager Relations to Charge and Energy Transport in a Homogeneous Conductor | |
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Principle of Minimum Entropy Production | |
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Kinetic Methods and Transport Theory | |
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Detailed Balance and the H-theorem | |
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Applications of the Principle of Detailed Balance | |
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Statistical Mechanics and the Compound Nucleus | |
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Use of a Kinetic Equation in Relaxation Problems | |
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Boltzmann Transport Equation | |
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Electrical and Thermal Conductivity in an Electron Gas | |
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Magnetoresistance | |
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Calculation of Viscosity from the Boltzmann Equation | |
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Kramers-Kronig Relations | |
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Laws of Rarefied Gases | |
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Appendix | |
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Method of Steepest Descent | |
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Dirichlet Discontinuous Factor | |
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Solutions of Problems in Molecular Dynamics Using Electronic Computers | |
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Virial Theorem | |