PHY1500H F general: Statistical Mechanics
|Course Title||PHY1500H F general|
|Year of Study||1st year|
|Time and Location||
Time: MT 10
|Course Homepage||Link to Course Homepage|
R.K. Pathria, "Statistical Mechanics" 2nd Edition (Pergamon Press, 1996)
- Brief review of the laws of thermodynamics; energy, entropy,
temperature, and the thermodynamic potentials.
- The main
postulate of statistical mechanics. The statistical
definition of entropy and temperature.
distribution in the classical case.
Equipartition and virial theorems and applications.
Canonical distribution. Partition function, free energy,
thermodynamic relations and illustrations
classical systems: the virial expansion, the
Van-der-Vaals equation of state, and the liquid-gas transition.
Mean-field theory for interacting magnets.
thermodynamic potentials, application to polymers
canonical distribution. Chemical equilibrium.
- The quantum
microcanonical, canonical, and grand canonical
distributions. The density matrix: pure and mixed states.
Some simple examples.
- The quantum ideal gases: general formulae for any statistics. Molecular gases and decoupling internal degrees of freedom.
ideal Bose gas: phonons, photons; Bose condensation of atoms.
- The Fermi gas: Heat capacity of metals, Thomas Fermi theory of electron-electron screening; Equilibrium in a white dwarf star.