
Course unit
STATISTICAL MECHANICS
SCP7081659, A.A. 2017/18
Information concerning the students who enrolled in A.Y. 2017/18
ECTS: details
Type 
ScientificDisciplinary Sector 
Credits allocated 
Core courses 
FIS/02 
Theoretical Physics, Mathematical Models and Methods 
6.0 
Mode of delivery (when and how)
Period 
First semester 
Year 
1st Year 
Teaching method 
frontal 
Organisation of didactics
Type of hours 
Credits 
Hours of teaching 
Hours of Individual study 
Shifts 
Lecture 
6.0 
48 
102.0 
No turn 
Start of activities 
02/10/2017 
End of activities 
19/01/2018 
Prerequisites:

Statistical Mechanics 
Target skills and knowledge:

Thermodynamics of phase transitions. Mean field techniques. Transfer matrix approaches to 1d systems. Scaling theory and renormalisation group techniques for critical phenomena, 
Examination methods:

Written exam with some problem to be solved and some questions on the theory.
Oral exam. 
Assessment criteria:

The positive valuation of the student will be based on her/his capability in understanding the main basic concepts presented in the course and on her/his ability in solving problems using the methodologies and analytical tools presented during the lectures. 
Course unit contents:

Thermodynamics of phase transitions. Critical points, order parameters and critical exponents. Phase transitions and spontaneous symmetry breaking. Entropyenergy 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. 
Planned learning activities and teaching methods:

During the lectures will be presented and solved some standard problems for this course. 
Additional notes about suggested reading:

Some note of the course will be available. 
Textbooks (and optional supplementary readings) 

K. Huang, Meccanica Statistica. : Zanichelli, .

L. Peliti, Statistical Mechanics in a Nutshell. : Princeton, .


