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Statistical Mechanics is a probabilistic approach to equilibrium properties of large numbers of degrees of freedom.
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English
English [CC]
FREE
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Description
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 content
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- 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
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- 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
- The Cumulant Expansion Unlimited
- The Cluster Expansion Unlimited
- The Second Virial Coefficient and Van der Waals Equation Unlimited
- Variational Methods 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
Instructor
Massachusetts Institute of Technology
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