Course content

Some mathematical prerequisites and Lagrangian/Hamiltonian formulation of classical mechanics. Probability distribution of microstates in thermal equilibrium. Microcanonical, canonical, and grand canonical emsembles. Connection to thermodynamics. Ideal gas, interacting classical gases. Simple spin systems, One-dimensional Ising model in an external field. Lattice vibrations, photons, and Planck's law of radiation. Quantum statistics. Non-relativistic and relativistic fermions and bosons at high and low temperatures. Bose-Einstein condensation. First and second order phase transitions. Critical indices and scaling laws.

Learning outcome

The aim of this course is to provide an introduction to statistical physics for systems in thermal equilibrium. The student should understand quantum and classical statistical mechanics for ideal systems, and when quantum effects are essential. The student should see the connection between the microscopic description and thermodynamics.

Learning methods and activities

Lectures and compulsory exercises. If there is a re-sit examination, the examination form may be changed from written to oral.

Compulsory assignments

• Exercises

Recommended previous knowledge

Course TFY4165/FY1005 Thermal Physics or equivalent.

Course materials

Main book: J. O. Andersen: Introduction to Statistical Mechanics 2008.
Additional literature: R. K. Pathria: Statistical Mechanics, Butterworth-Heinemann Ltd (1996).

Credit reductions