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


TOPIC #Topics
1Statistical 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
2Ising 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
3Fluctuations

Thermal Fluctuations

Fluctuation-Response Relation

Coherent Length and Local Fluctuations of Order Parameter
4Quantum Ideal Gas: Bose Gas and Bose Condensation

Photon Gas and Black Body Radiation

Phonon Gas and Thermal Properties of Solids

Bose Condensation
5Interacting Bose Gas

Wave Function of Condensed Bosons

Gross-Pitaevsky Equation

Ginsburg-Landau Theory for Superfluid

Collective Excitation in Superfluids

Superfluidity
6Quantum Ideal Gas: Fermi Gas

Metal and Fermi Liquid

Semiconductors

White Dwarf and Neutron Stars
7Transport

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
8Noises

Fluctuation-Dissipation Relation

Langevin Equation-Dynamics of Random Walks

Power Spectrum and Noises

Noises in RC Circuit

 








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