Second cycle degree in PHYSICS

Campus: PADOVA

Language: English

Teaching period: First Semester


Number of ECTS credits allocated: 6

Prerequisites: Statistical Mechanics
Examination methods: Written exam with some problem to be solved and some questions on the theory.
Oral exam.
Course unit contents: Thermodynamics of phase transitions. Critical points, order parameters and critical exponents. Phase transitions and spontaneous symmetry breaking. Entropy-energy argument and the lower critical dimension. Ising model. Analytical tools to solve spins model in 1D, transfer matrix formalisms. Mean field theory. Variational theory. Landau theory. Ginzburg Landau theory. Ginzburg criterium and upper critical dimension. Scaling theory and r scaling relations between critical exponents. Homogeneity and scaling: Kadanoff block spin argument, Renormalisation group in real space. Universality. Spontaneous symmetry breaking for continuous symmetry. Goldstone's theorem.