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Phase transitions and critical phenomena
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Module 5
Landau Theory of Phase Transitions
1
Landau Free Energy Expansion from Symmetry
Construct the Landau free energy expansion based on symmetry arguments for a given phase transition.
2
$\phi^4$ Theory and Continuous Phase Transitions
Analyze the φ⁴ theory to describe a continuous phase transition and derive the temperature dependence of the order parameter.
3
Landau Theory and Mean-Field Critical Exponents
Demonstrate that Landau theory reproduces the standard mean-field critical exponents.
4
Modeling Phase Transitions with φ⁶ Theory
Use φ⁶ theory to model first-order transitions and locate the tricritical point.
5
Landau Expansion with an External Field
Incorporate an external field into the Landau expansion and derive the equation of state near criticality.
6
Modeling Phase Transitions with Landau Theory
Apply Landau theory to model a physical system, such as a cubic-to-tetragonal structural transition.
Previous module
Mean-Field Theory of Magnetism
Next module
Landau-Ginzburg Theory and Fluctuations