Syllabus - PHYS 334 - Fall 2012
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)