ECTS - University of Pisa
| Modules | Area | Type | Hours | Teacher(s) | |
| TRANSIZIONI DI FASE E FENOMENI CRITICI | FIS/02 | LEZIONI | 36 |
|
The student will be able to demonstrate advanced knowledge in Statistical Mechanics and in Field Theory. The student will be able to expose his knowledge in a short seminar toward the scientific community.In particular he will have knowledge about phase transition and phenomena that present scaling behavior. The student will be able to understand the analogies between Statistical Mechanics and the field theory of elementary particle.
The student will be able to demonstrate advanced knowledge in Statistical Mechanics and in Field Theory. The student will be able to expose his knowledge in a short seminar toward the scientific community.In particular he will have knowledge about phase transition and phenomena that present scaling behavior. The student will be able to understand the analogies between Statistical Mechanics and the field theory of elementary particle.
The student will be assessed on his demonstrated ability to discuss the main course contents using the appropriate terminology.
Methods:
The student will be assessed on his demonstrated ability to discuss the main course contents using the appropriate terminology.
Methods:
Delivery: face to face
Learning activities:
Attendance: Mandatory
Teaching methods:
Delivery: face to face
Attendance: Mandatory
Learning activities:
Teaching methods:
Phase Transition and critical phenomena. Mean field theory. Ferromagnetic critical phenomena.Landau-Ginzburg theory. The gaussian approximation and the role of physical dimensions. The Kadanoff transformation and the scaling laws . The renormalization group and the fix points. Calculation of critical exponents by means of perturbation theory. Feynman graphs. Epsilon expansion.
Phase Transition and critical phenomena. Mean field theory. Ferromagnetic critical phenomena.Landau-Ginzburg theory. The gaussian approximation and the role of physical dimensions. The Kadanoff transformation and the scaling laws . The renormalization group and the fix points. Calculation of critical exponents by means of perturbation theory. Feynman graphs. Epsilon expansion.
S .K. Ma : Modern theory of Critical Phenomena further bibliography: Landau and Lifshitz : Fisica Statistica Parisi : Statistical Field Theory Amit : Field Theory, the Renormalization group and Critical Phenomena.
S .K. Ma : Modern theory of Critical Phenomena further bibliography: Landau and Lifshitz : Fisica Statistica Parisi : Statistical Field Theory Amit : Field Theory, the Renormalization group and Critical Phenomena.
L'esame orale consiste in un seminario di libera scelta del candidato su argomenti del corso e concordato col docente.
