>Teaching>Past Courses>PHYS 334 - Statistical Physics - Fall 2013>Syllabus

Syllabus - PHYS 334 - Fall 2013

Syllabus

In bold are the topics that have already been covered.

18 Sep W > No Class
20 Sep F > No Class

25 Sep W > Introduction. Molecular Dynamics.





27 Sep F > Random walks. Brownian motion. Einstein theory. Langevin theory. Ornstein-Uhlenbeck theory.

Simulation of a Brownian particle in an optical trap

2 Oct W > Brownian dynamics simulations. (class given by Agnese Callegari)




4 Oct F > Brownian motion in a force field. Potential. Brownian motion as a model system for statistical physics. (class given by Agnese Callegari)



9 Oct W > Measurable spaces. Probability Spaces. Random Variables. Expectation.



11 Oct F > Random vectors. Statistical independence. Law of large numbers. Random processes. Random number generators.

23 Oct W > Microcanonical ensemble. Equipartition of energy. Ideal gas.
25 Oct F > Definition of entropy, temperature, pressure and chemical potential. Entropy as disorder, irreversibility and ignorance.

30 Oct W > Exercises (class given by Agnese Callegari)
1 Nov F > Shannon information theory. Thermal engines.

6 Nov W > Canonical and Grand Canonical Ensembles.
8 Nov F > Exercises (class given by Agnese Callegari)

13 Nov W > Midterm 1
15 Nov F > Presentations 1: Groups A, B, C

20 Nov W > Presentations 1: Groups D, E, F
22 Nov F > Ising model. Phase transitions. Criticality. Liouville theorem. Ergodicity.

27 Nov W > Quantum harmonic oscillator. Particle in a box. Non-interacting bosons and fermions.
29 Nov F > Black-body radiation. Bose and Fermi statistics.

4 Dec W > Bose Einstein Condensate. Fermi gas.
6 Dec F > Midterm 2

11 Dec W > Presentations 2: Groups A, B, C
13 Dec F > Presentations 2: Groups D, E, F

18 Dec W > Correlation functions. Onsager regression hypothesis. Microscopic thermodynamics. Fluctuation-dissipation theorems.
20 Dec F > Fractals. Cellular automata. Brain graphs.

25 Dec W > Presentations 3: Groups A, B, C
27 Dec F > Presentations 3: Groups D, E, F