J. A. Sauls

**Lectures:**
Monday & Wednesday, 10:00 am -11:20 pm

**Where:**
~~Room: LG72 Tech Institute~~ -- Canvas

This is a graduate-level course on nonequilibrium statistical physics and phase transitions covering topics ranging from Brownian motion, stochastic dynamics, Langevin theory and Fokker-Planck dynamics. This quarter will cover fluctuations in thermodynamic systems, space-time correlations of fluctuations, origins of dissipation, linear response theory and the fluctuation-dissipation theorem. The course will also include selected topics on spontaneous symmetry breaking and the theory of second-order phase transitions.

Pre-requisites: undergraduate-level statistical physics and quantum mechanics.

**Details:**

- Format: Lectures and Discussion
- Course Materials: Lecture Notes and Assigned Reading
- Evaluation: Exercises, problems and course project

- Stochastic Processes in Physics
- Brownian Motion, Random Walk and Diffusion
- Einstein and Langevin's Theories of Brownian Motion
- Noise and Stochastic Processes in Electrical Circuits

- Transport Processes
- Hydrodynamics, Diffusion, and Fokker-Planck Equations
- Entropy and Approach to Equilibrium
- Boltzmann's Kinetic Theory of Dilute Gases

- Linear Response Theory
- Weak disturbances from Equilibrium
- Kubo's Theory: Causality, Analyticity
- Fluctuation-Dissipation Theorem

- Random Systems
- Statistical Mechanics of Quenched Disorder
- Electrical Transport in "Dirty" Metals
- Strong Disorder - Anderson Localization

- Phase Transitions
- Symmetry Breaking Phase Transitions
- Fluctuations of the Broken Symmetry Phase
- Nonequilibrium 2
^{nd}order phase transitions

File translated from T

On April 4, 2020.