Statistical Physics

This module is an introduction to the concepts and methods of statistical physics of equilibrium systems with a bottom-up approach: starting with examples and then giving the general principles. It draws heavily on the course by Harvey Gould and Jan Tobochnik. A historical introduction to the construction of the theory of Brownian motion constitutes the last chapter of the course.

• Master the probabilistic tools and concepts used in statistical physics of systems at equilibrium, calculate a mean, a standard deviation, know the main statistical functions (Gaussian law, binomial, exponential, Poisson..)
• 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 of the canonical and/or grand-canonical partition function of simple non-interacting systems, including gases of fermions and bosons.
• Acquire a historical perspective of the construction of the theory of Brownian motion

• UE Thermodynamics 2 in L2
• Basics of quantum mechanics

100% CT

1. From microscopic to macroscopic behavior of matter.

2. Probabilistic mathematical concepts and tools.

3. Methodology of statistical physics.

4. Systems of particles without interaction.

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

6. Brownian motion: historical overview

CM : 22.5 h

TD : 22.5 h