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Statistical Mechanics is a probabilistic approach to equilibrium properties of large numbers of degrees of freedom.

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722 years, 1 month

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In this two-semester course, basic principles are examined. Topics include: Thermodynamics, probability theory, kinetic theory, classical statistical mechanics, interacting systems, quantum statistical mechanics, and identical particles.

Course Currilcum

    • Fundamental Definitions, The Zeroth Law, The First Law Unlimited
    • The Second Law, Carnot Engines and Thermodynamic Temperature, Entropy Unlimited
    • Approach to Equilibrium and Thermodynamic Potentials, Useful Mathematical Results Unlimited
    • Stability Conditions, The Third Law Unlimited
    • General Definitions Unlimited
    • Many Random Variables Unlimited
    • General Definitions, Liouville’s Theorem Unlimited
    • The Bogoliubov-Born-Green-Kirkwood-Yvon Hierarchy, The Boltzmann Equation Unlimited
    • The H-Theorem and Irreversibility, Equilibrium Properties Unlimited
    • Conservation Laws Unlimited
    • Zeroth Order Hydrodynamics, First Order Hydrodynamics Unlimited
    • General Definitions Unlimited
    • The Ideal Gas Unlimited
    • Examples Unlimited
    • The Cumulant Expansion Unlimited
    • The Cluster Expansion Unlimited
    • The Second Virial Coefficient and Van der Waals Equation Unlimited
    • Variational Methods Unlimited
    • Mean field theory of condensation Unlimited
    • Dilute Polyatomic Gases Unlimited
    • Quantum Microstates, Quantum Macrostates Unlimited
    • Hilbert Space of Identical Particles Unlimited
    • Canonical Formulation, Grand Canonical Formulation Unlimited
    • The Degenerate Fermi Gas Unlimited
    • The Degenerate Bose Gas Unlimited
    • Superfluid He4 Unlimited