| Individual course details | ||||||||||
| Study programme | Theoretical and experimental physics | |||||||||
| Chosen research area (module) | ||||||||||
| Nature and level of studies | ||||||||||
| Name of the course | Statistica Physics I | |||||||||
| 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 phenomenological thermodynamics and stochastic processes. | |||||||||
| Learning outcomes | Students will be able to apply the acquired knowledge and methods in studies of simple equilibrium and out of equilibrium many-body systems. | |||||||||
| Contents of the course | ||||||||||
| Lectures | Fundamental concepts and laws of equilibrium phenomenological thermodynamics; applications to simple physical systems. Legendre transformations and thermodynamic potentials. Equilibrium and stability conditions; response functions. Phases and phase transitions; Ehrenfest's clasification. Critical phenomena, critical exponents, scaling hypothesis. Mean-field theory. Landau theory. Random walks on lattices; diffusion equation. Langevin theory of Brownian motion. General stochastic processes. Markov processes; Chapman-Kolmogorov equation. Diffusive Markov processes; Fokker-Planck equation. Gaussian processes. Wiener-Hinchin theorem. Discrete Markovian processes; Master equations. | |||||||||
| 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. Kubo, Thermodynamics, North-Holland (1968) | |||||||||
| 4 | N.G. Van Kampen, Stochastic processes in physics and chemistry, 3rd ed. Elsevier (2007) | |||||||||
| 5 | P.A. Martin, Physique statistique des processus irreversibles, ENS Lyon (2004) | |||||||||
| 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 | ||||||||||