Statistical Physics

This module is an introduction to the concepts and methods of statistical physics of systems in equilibrium, using a bottom-up approach: starting with examples and then presenting the general principles. It draws heavily on the course taught by Harvey Gould and Jan Tobochnik. A historical introduction to the development of Brownian motion theory forms the final chapter of the course.

• Master the probabilistic tools and concepts used in statistical physics of systems at equilibrium, calculate a mean, a standard deviation, and understand the main statistical functions (Gaussian, binomial, exponential, Poisson, etc.).
• Know how to count the number of microstates accessible to a macroscopic system in equilibrium in the classical and semi-classical approximation.
• Calculate the static entropy of the canonical and/or grand canonical partition function of simple non-interacting systems, including fermion and boson gases.
• Acquire a historical perspective on the development of Brownian motion theory

• EU Thermodynamics 2 in L2
• Basics of quantum mechanics

100% CT

1. From the microscopic behavior to the macroscopic behavior of matter.

2. Probabilistic mathematical concepts and tools.

3. Methodology of statistical physics.

4. Non-interacting particle systems.

5. Van der Waals fluid model: liquid-gas transition.

6. Brownian motion: historical overview

CM: 22.5 hours

Tutorial: 22.5 hours