Theory of Phase Transitions
Lecture
Contents:
1. Classification and Examples of Phase Transition Phenomena
- Phase Transition Order Classification According to Ehrenfest
- Density and Field Quantities
- Examples of Phase Transitions
2. Thermodynamic Phase Stability
- Thermal, Mechanical, Material Equilibrium
- Stable, Metastable, Instable States
3. Phase Transitions and Symmetry
- Phase Symmetry, Order Parameter
- Spin Lattice Model
4. Landau Theory of Phase Transitions of First and Second Order
- Taylor Series for the Free Energy
- Generalized Field and Susceptibility
5. Landau Theory of Fluids
- Liquid/Gas System
- Binary Mixtures
6. Critical Exponents
7. Correlations Functions
8. Landau Theory near the Tricritical Point
9. Scaling Theory
- Generalized Homogeneous Functions
- Scaling Relations for Thermodynamic Functions
- Scaling and Hyperscaling Hypothesis
10. Fluctuation Theory in the Gaussian Approximation
- Fluctuations of Thermodynamic Functions
- Fluctuations near Critical Points
- Fluctuations and Correlation Functions
- Ginzburg Criterion
11. Microscopic Models Showing Phase Transitions
- Ising Model and Lattice Gas
- Transfer Matrix Method
- Bragg Williams Approximation
12. Nucleation Theory
- Thermodynamic Problems
- Lifshitz-Slyozov- Theory
13. Percolation Theory