>Teaching>Past Courses>PHYS 334 - Statistical Physics - Fall 2012>Syllabus

Syllabus - PHYS 334 - Fall 2012

Syllabus

In bold are the topics that have already been covered.

19 Sep > Introduction. Random walks. Measurable spaces




21 Sep > Probability Spaces. Random Variables.

26 Sep > Expectation. Random vectors. Statistical independence. Law of large numbers. Random processes. Random number generators.

28 Sep > Brownian motion. Einstein theory. Fluctuation-dissipation theorem. Langevin theory. Ornstein-Uhlenbeck theory. Brownian dynamics simulations.

3 Oct > Brownian motion in a force field. Potential. Brownian motion as a model system for statistical physics.

5 Oct > Stochastic differential equations and Wiener process. Stochastic integrals.

10 Oct > Diffusion.

10 Oct > Presentations I A & B (class given by Mite Milalkov)

17 Oct > Presentations I C & D (class given by Mite Milalkov)

31 Oct > Presentations I E, F & G (class given by Mite Milalkov)

31 Oct > Midterm I

2 Nov > Microcanonical ensemble. Equipartition of energy. Ideal gas.

7 Nov > Definition of entropy, temperature, pressure and chemical potential.

9 Nov > Entropy as disorder, irreversibility and ignorance. Thermal engines.

21 Nov > Shannon information theory. Canonical and Grand Canonical Ensembles.

23 Nov > Ising model. Phase transitions. Criticality. Liouville theorem. Ergodicity.

30 Nov > Quantum harmonic oscillator. Particle in a box.

30 Nov > Presentations II (class given by Mite Milalkov)

5 Dec >Non-interacting bosons and fermions. Black-body radiation. Bose and Fermi statistics.

5 Dec > Presentations II (class given by Mite Milalkov)

6 Dec > Presentations II (class given by Mite Milalkov)

7 Dec > Bose Einstein Condensate. Fermi gas.

12 Dec > Midterm II

14 Dec > Molecular Dynamics




19 Dec > Correlation functions. Onsager regression hypothesis.

27 Dec > Presentations III (class given by Mite Milalkov)

28 Dec > Microscopic thermodynamics. Fluctuation-dissipation theorems.

29 Dec > Presentations III (class given by Mite Milalkov)