Topics are as follows:

• Scaling properties in the second-order phase transition
• Domain walls and phase transition of systems with discrete and continuous symmetries
• Ising model
• Mean field approach
• Landau Ginsburg effective theory
• Breakdown of the Landau theory and the Ginsburg criterion
• Scaling laws and Kadannoff approach
• The renormalization group
• Finite-size analysis

Textbooks:

Lectures On Phase Transitions And The Renormalization Group, N. Goldenfeld

Statistical Physics of Fields, M. Kardar,