Calendar

Each of the eight main topics for this course cuts across several lecture sessions .


TOPIC # Topics
1 Statistical Ensembles

Microcanonical Ensemble
- Concept of Entropy and Temperature
- Spins in Magnetic Fields

Canonical Ensemble
- Classical Gas

Grand Canonical Ensemble
- Chemical Potential
- Equilibration of Chemical Reactions

van der Waals Model and Phase Transitions
2 Ising Model and Phase Transition

Meanfield Theory and Second Order Phase Transition

Symmetry Breaking and Phase Transition

Symmetry Breaking and Ginsburg-Landau Theory

Spins in Magnetic Field and First Order Phase Transition

Water-vapor-ice

Liquid Crystals
3 Fluctuations

Thermal Fluctuations

Fluctuation-Response Relation

Coherent Length and Local Fluctuations of Order Parameter
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

Ginsburg-Landau Theory for Superfluid

Collective Excitation in Superfluids

Superfluidity
6 Quantum Ideal Gas: Fermi Gas

Metal and Fermi Liquid

Semiconductors

White Dwarf and Neutron Stars
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 Noises

Fluctuation-Dissipation Relation

Langevin Equation-Dynamics of Random Walks

Power Spectrum and Noises

Noises in RC Circuit