Module I: Thermodynamics (review) and statistical ensembles
|
ti. 15. jan. |
Introduction/Thermodynamics laws, entropy |
|
on. 16. jan. |
Thermodynamic potentials, response functions and Maxwell’s relations, thermodynamic stability |
|
ti. 22. jan. |
Statistical ensembles, Phase space, Liouville’s theorem, microcanonical ensemble |
|
on. 23. jan. |
Canonical ensemble |
|
ti. 29. jan. |
Grand canonical ensemble |
|
on. 30. jan. |
Summary and questions |
Module II: Non-interacting particles, multiplicity function, partition function
|
on. 6. feb. |
Classical free particles, Maxwell-Boltzmann distribution |
| fr. 8. feb. |
Quantum ideal gases, Bose-Einstein distribution |
| on. 13. feb. |
Fermi-Dirac distribution |
| fr. 15. feb. |
Summary and questions |
Module III: Weakly-interacting particles and Van der Waals fluid
| on. 20. feb. |
Configuration partition function, correlation functions |
| fr. 22. feb. |
Virial theorem, Mean field theory |
| on. 27. feb. |
Mean field, phase transitions |
| fr. 1. mar. |
Summary and questions |
Module IV: Quantum gases
| on. 6. mar. |
Photon gas, Blackbody radiation |
| fr. 8. mar. |
Debye theory of phonons |
| on. 13. mar. |
Ideal Bose atoms, Bose-Einstein condensation |
| fr. 15. mar. |
Bose Einstein condensation |
| on. 20. mar. |
Fermi ideal gases (Oblig 1) |
| fr. 22. mar. |
Summary and questions |
| on. 27. mar. |
No lectures |
|
fr. 29. mar. |
No lectures |
Module V: Statistics of spin systems
| on. 3. apr. |
Paramagnetic spins (Deadline Oblig 1) |
|
fr. 5. apr. |
Ferromagnetic spins, Ising model and 1D solution |
|
on. 10. apr. |
Mean-field theory of Ising model: Microscopic Weiss theory |
|
fr. 12. apr. |
Continuous mean-field theory: Landau theory (Oblig 2) |
| on. 24. apr. |
No lectures |
| fr. 26. apr. |
No lectures |
Module VI: Stochastic processes and non-equilibrium statistical mechanics
| fr. 3. mai |
Random walk, central limit theorem (03.05. deadline Oblig 2) |
| on. 8. mai |
Master equation: Poisson process, Gaussian process |
| fr. 10. mai |
Brownian motion, Einstein relation |
| on. 15. mai |
Dissipation-fluctuation therem |
| on. 22. mai | Summary and questions |