Statistical Physics

This module is an introduction to the concepts and methods of the statistical physics of equilibrium systems, with a bottom-up approach: start with examples and then give the general principles. It draws heavily on Harvey Gould and Jan Tobochnik's course. A historical introduction to the construction of Brownian motion theory forms the final chapter of the course.

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

• UE Thermodynamics 2 in L2
• Basics of quantum mechanics

100% CT

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

2. Probabilistic mathematical concepts and tools.

3. Statistical physics methodology.

4. Non-interacting particle systems.

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

6. Brownian motion: a historical overview

CM: 22.5 h

TD: 22.5 h