Advanced Statistical Physics for Master Module Advanced ...

II.Statistical mechanics7. Ensembles7.1 Postulates and statements7.2 Micro and macro conditions7.3 Phase space, Liouville´s theorem7.4 Statistical definition of entropy7.5 The microcanonical ensemble8. The canonical ensemble8.1 The Boltzmann factor8.2 Two level system8.3 Free energy8.4 Factorizable systems, Gibb´s paradox8.5 Partition function and integral8.6 The classical ideal gas8.7 Density of states and Debye modelIII.Quantum Statistics9. Fundamentals9.1 Density operator and entropy9.2 Many particle wavefunctions9.3 Grand canonical ensembles10. Ideal quantum gas10.1 Ideal Bose gas10.2 Ideal Fermi gasIV. Real gases and phase transitions11. Real gases11.1 Virial expansion12. Phase transitions12.1 Classification12.2 Critical indices12.3 Examples13. Ising and Heisenberg models