First cycle
degree courses
Second cycle
degree courses
Single cycle
degree courses
School of Science
PHYSICS
Course unit
STATISTICAL MECHANICS
SCP7081659, A.A. 2017/18

Information concerning the students who enrolled in A.Y. 2017/18

Information on the course unit
Degree course Second cycle degree in
PHYSICS
SC2382, Degree course structure A.Y. 2017/18, A.Y. 2017/18
N0
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Degree course track PHYSICS OF MATTER [002PD]
Number of ECTS credits allocated 6.0
Type of assessment Mark
Course unit English denomination STATISTICAL MECHANICS
Website of the academic structure http://fisica.scienze.unipd.it/2017/laurea_magistrale
Department of reference Department of Physics and Astronomy
E-Learning website https://elearning.unipd.it/dfa/course/view.php?idnumber=2017-SC2382-002PD-2017-SCP7081659-N0
Mandatory attendance No
Language of instruction English
Branch PADOVA
Single Course unit The Course unit can be attended under the option Single Course unit attendance
Optional Course unit The Course unit can be chosen as Optional Course unit

Lecturers
Teacher in charge ENZO ORLANDINI FIS/03

Mutuated
Course unit code Course unit name Teacher in charge Degree course code
SCP7081659 STATISTICAL MECHANICS ENZO ORLANDINI SC2382
SCP7081659 STATISTICAL MECHANICS ENZO ORLANDINI SC2382

ECTS: details
Type Scientific-Disciplinary 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

Calendar
Start of activities 02/10/2017
End of activities 19/01/2018

Examination board
Examination board not defined

Syllabus
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. 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.
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, --. Cerca nel catalogo
  • L. Peliti, Statistical Mechanics in a Nutshell. --: Princeton, --. Cerca nel catalogo