| Individual course details | ||||||||||
| Study programme | General Physics, Applied and Computational Physics | |||||||||
| Chosen research area (module) | ||||||||||
| Nature and level of studies | ||||||||||
| Name of the course | Foundations of Statistical Physics | |||||||||
| Professor (lectures) | Prof. Milan Knežević | |||||||||
| Professor/associate (examples/practical) | ||||||||||
| Professor/associate (additional) | ||||||||||
| ECTS | 4 | Status (required/elective) | required | |||||||
| Access requirements | Mathematics 2 | |||||||||
| Aims of the course | Learn the main concepts, laws and methods of equilibrium thermodynamics and statistical physics. | |||||||||
| Learning outcomes | Students will be able to apply the acquired knowledge and methods in studies of simple equilibrium many-body systems. | |||||||||
| Contents of the course | ||||||||||
| Lectures | Fundamental concepts and laws of equilibrium phenomenological thermodynamics; applications to simple systems. Legendre transformations and thermodynamic potentials. Response functions. Equilibrium and stability conditions. Phases and phase transitions. First and second order phase transitions. Central limit theorem of probability theory. Shannon entropy. Foundation of classical statistical physics; Liouville's equation; ergodic hypothesis. Gibbs concept of statistical enesemble. Microcanonical ensemble; Gibbs paradox. Canonical ensemble; partition function for idel gas; Maxwell-Boltzmann distribution; fluctuation of energy. Grand canonical enesemble; fluctuations of energy and number of particles. Quantum statistics of identical particles; average occupation numbers for idel bose and fermi particles; applicability of classical statistics. Thermodynamic properties of ideal fermions. Bose-Einstein condensation. Statistics and thermodynamics of photon gas. | |||||||||
| Examples/ practical classes | ||||||||||
| Recommended books | ||||||||||
| 1 | H. Callen, Thermodynamics and introduction to thermostatistics 2nd ed. John Wiley (1985) | |||||||||
| 2 | S. Milošević, Osnovi fenomenološke termodinamike, PFV (1979) | |||||||||
| 3 | R. Patria, Statistical mechanics, 2nd ed. Butterworth-Heinemann (1996) | |||||||||
| 4 | I. Živić, Statistička mehanika, PMF Kragujevac (2006) | |||||||||
| 5 | R. Kubo, Statistical physics, North-Holland (1965) | |||||||||
| 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 | ||||||||||