Statistical Mechanics II: Statistical Physics of Fields free videos and free material uploaded by Massachusetts Institute of Technology Staff .
Syllabus / What will i learn?
- Collective Modes: Hydrodynamic limit; importance of symmetries and dimensionality; introduction to phase transitions and critical phenomena.
- The Landau-Ginzburg Model: Mean-field theory; critical exponents; Goldstone modes and the lower critical dimension; fluctuations and the upper critical dimension.
- Universality: Self-similarity; the scaling hypothesis; Kadanoff's heuristic renormalization group (RG), and exponent identities.
- Perturbation Theory: Diagrammatic expansions; Wilson's momentum space RG, and the taming of divergent perturbation series by epsilon-expansions.
- Lattice Models: Ising, potts, etc.; position-space RGs (Cumulant, Migdal-Kadanoff); Monte-Carlo simulations; finite-size scaling.
- Series Expansions: Low temperatures and high temperatures; duality; random walk generating functions; exact solution of the two-dimensional Ising model.
- Two-dimensional Films: Algebraic order; topological defects; melting and the hexatic phase; the non-linear sigma model.
- Dynamics: Langevin equations; conservation laws; dynamic universality classes.
- Random Systems: Annealed versus quenched impurities; Harris' criterion; random bonds; random fields; spin-glasses.
- Scaling theories of polymers, and other networks.
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Description
This is the second term in a two-semester course on statistical mechanics. Basic principles are examined in this class, such as the laws of thermodynamics and the concepts of temperature, work, heat, and entropy. Topics from modern statistical mechanics are also explored, including the hydrodynamic limit and classical field theories.
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