After completing the course the student should be able to
give an account of the relevant quantities used to describe macroscopic systems, thermodynamic potentials and ensembles.
give an account of the macroscopic and microscopic description of temperature, entropy and free energy and their descriptions in terms of probabilities
give an account of the theory of statistical mechanics and the approximations making a statistical description possible
apply the theory to understand gases and crystals and in addition be able to construct microscopic models and from these derive thermodynamic observables
describe the importance and consequences of quantum mechanics for macroscopic particle systems
understand the strength and limitations of the models used and be able to compare different microscopic models
describe transport phenomena and show an understanding on how diffusion coefficients are computed
show an analytic ability to solve problems relevant to statistical mechanics
The course gives an introduction to statistical mechanics and some important applications. The course discusses how probability theory can be used to derive relations between the microscopic and macroscopic properties of matter. Thermodynamic potentials. Phase space and distributions in phase space. Maxwell-Boltzmann distributions with applications. Statistical ensembles. Applications on crystals and gases. Quantum statistics, Bose-Einstein and Fermi-Dirac statistics, Bose-Einstein condensation. The basic theory for electrons in a metal. Transport phenomena.
Lectures and tutorials. Guest lecture.
Written examination at the end of the course. During the course there will be hand-in assignments. If solved correctly these will give points that can be used at the examinations (the regular and the following two re-examinations).