| Individual course details | ||||||||||
| Study programme | Theoretical and experimental physics | |||||||||
| Chosen research area (module) | ||||||||||
| Nature and level of studies | ||||||||||
| Name of the course | Statistical Physics II | |||||||||
| Professor (lectures) | Prof. Milan Knežević | |||||||||
| Professor/associate (examples/practical) | ||||||||||
| Professor/associate (additional) | ||||||||||
| ECTS | 4 | Status (required/elective) | required | |||||||
| Access requirements | Mathematics 4b | |||||||||
| Aims of the course | Learn the main concepts, laws and methods of equilibrium statistical physics. | |||||||||
| Learning outcomes | Students will be able to apply the acquired knowledge and methods in studies of equilibrium many-body systems. | |||||||||
| Contents of the course | ||||||||||
| Lectures | Central limit theorem of probability theory; stable distributions;Levy distributions. Entropy of a distribution (Shannon entropy). Relative entropy of one distribution with respect to another one. Foundation of classical statistical physics; Liouville's equation. Elements of ergodic theories. Gibbs concept of statistical enesemble. Distributions for systems described by microcanonical , canonical and grand canonical enesembles; applications to ideal systems. Fluctuations of macroscopic quantities in canonical and grand canonical ensemble. Quantum statistics of identical particles; average occupation numbers for idel bose and fermi particles. Low-temperature thermodynamics of ideal fermions. Bose-Einstein condensation. Statistics of photon gas. Classical real gases; virial expansion. Density-density correlation functions. Models of magnetisme. Ising model; exact and mean-field analysis. | |||||||||
| Examples/ practical classes | ||||||||||
| Recommended books | ||||||||||
| 1 | R. Patria, Statistical mechanics, 2nd ed. Butterworth-Heinemann (1996) | |||||||||
| 2 | F. Schwabl, Statistical mechanics, 2nd ed. Springer-Verlag (2006) | |||||||||
| 3 | M. Kardar, Statistical physics of particles, Cambridge University Press (2007) | |||||||||
| 4 | R. Kubo, Statistica physics, North-Holland (1965) | |||||||||
| 5 | M.Knežević, Lecture notes | |||||||||
| Number of classes (weekly) | ||||||||||
| Lectures | Examples&practicals | Student project | Additional | |||||||
| 2 | 2 | |||||||||
| Teaching and learning methods | Lectures, example exercises, consultations, homework assignments | |||||||||
| Assessment (maximal 100) | ||||||||||
| assesed coursework | mark | examination | mark | |||||||
| coursework | written examination | 30 | ||||||||
| practicals | 10 | oral examination | 50 | |||||||
| papers | 10 | |||||||||
| presentations | ||||||||||