Statistical mechanics of phase transitions
- Introduction
- Statistical mechanics and phase transitions
- Long range correlations
- Finite size effects on phase transitions
- Models in statistical mechanics
- The Ising model - Introduction
- Analytic properties of the Ising model
- Absence of phase transitions for finite systems
- Ising model and fluids
- Ising model and the ideal gas
- Ising model and binary alloys
- Ising model and neural networks
- Final remark on equivalence in statistical mechanics
- Ising model in one dimension
- Bulk free energy, thermodynamic limit and absence of phase transitions
- Irrelevance of boundary conditions
- Absence of spontaneous magnetization
- The transfer matrix method
- A slightly trickier system: the Heisenberg model
- The Ising model in higher dimensions
- Additional remarks on the Ising model
- The role of dimensionality
- The role of symmetry
- The role of interaction range