Statistical mechanics of phase transitions
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* [[Course:Statistical_Mechanics/Statistical mechanics of phase transitions/Finite size effects on phase transitions|Finite size effects on phase transitions]] | * [[Course:Statistical_Mechanics/Statistical mechanics of phase transitions/Finite size effects on phase transitions|Finite size effects on phase transitions]] | ||
* [[Course:Statistical_Mechanics/Statistical mechanics of phase transitions/Models in statistical mechanics|Models in statistical mechanics]] | * [[Course:Statistical_Mechanics/Statistical mechanics of phase transitions/Models in statistical mechanics|Models in statistical mechanics]] | ||
− | * [[Course: | + | * [[Course:Statistical Mechanics/Statistical mechanics of phase transitions/The Ising model - Introduction|The Ising model - Introduction]] |
* [[Course:Statistical_Mechanics/Statistical mechanics of phase transitions/Analytic properties of the Ising model|Analytic properties of the Ising model]] | * [[Course:Statistical_Mechanics/Statistical mechanics of phase transitions/Analytic properties of the Ising model|Analytic properties of the Ising model]] | ||
* [[Course:Statistical_Mechanics/Statistical mechanics of phase transitions/Absence of phase transitions for finite systems|Absence of phase transitions for finite systems]] | * [[Course:Statistical_Mechanics/Statistical mechanics of phase transitions/Absence of phase transitions for finite systems|Absence of phase transitions for finite systems]] |
Revision as of 16:11, 23 September 2016
- 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