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Calendar

TOPIC # TOPICS
1

Review

  • Microcanonical Ensemble
    • Concept of Entropy and Temperature
    • Spins in Magnetic Fields
  • Canonical Ensemble
    • Classical Gas
    • Vander Waals Model
    • Phase Transitions
2

Grand Canonical Ensemble

  • Chemical Potential and Number Fluctuations
  • Equilibration of Chemical Reactions
3

Quantum Ideal Gas: Fermi Gas

  • White Dwarf and Neutron Stars
  • Metal and Fermi Liquid
  • Semiconductors
4

Quantum Ideal Gas: Bose Gas and Bose Condensation

  • Photon Gas and Black Body Radiation
  • Phonon Gas and Thermal Properties of Solids
  • Bose Condensation
5

Interacting Bose Gas

  • Wave Function of Condensed Bosons
  • Gross-Pitaevsky Equation
  • Symmetry Breaking and Phase Transition
  • Collective Excitation in Superfluids
  • Superfluidity
6

Ising Model and Phase Transition

  • Meanfield Theory and Second Order Phase Transition
  • Symmetry Breaking and Ginsburg-Landau Theory
  • Liquid Crystals
  • Spins in Magnetic Field and First Order Phase Transition
  • Water-vapor-ice
  • Coherent Length and Local Fluctuations of Order Parameter
7

Transport

  • Hydrodynamics and Euler’s Equation
  • Sound Waves
  • Diffusion and Random Walks
  • Damping of Sound Waves by Diffusion
  • Viscosity and Navier-Stokes Equation
  • Heat Conduction
  • Transport in Metal and Drude Model
  • Hall Effect
  • Boltzmann Equation and Thermoelectric Effects
8

Fluctuations and Noises

  • Thermal Fluctuations
  • Fluctuation-response Relation
  • Fluctuation-dissipation Relation
  • Langevin Equation – Dynamics of Random Walks
  • Power Spectrum and Noises
  • Noises in RC Circuit