Advanced Statistical Mechanics: Course Outline

• Introduction. 
• Review of thermodynamics and statistical mechanics.
• Empirical equations of state.
• Ideal gas laws.
• Van der Wall’s equation.
• Critical phenomena.
• Hugoniot equation.
• Mie-Gruneisen equation.
• Theoretical calculations of equation of state.
• Exactly soluble models.
• Classical ideal gas.
• Non-interacting Fermi gas.
• Non-interacting Bose gas.
• Paramagnets.
• Ising model.
• Approximate methods.
• Thomas Fermi model.
• Debye-Huckel theory.
• Statistical mechanics of plasmas.
• Cluster expansions.
• Methods of molecular dynamics.
• Monte-Carlo techniques.

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