NWI-NM029B
Advanced Statistical Physics
Course infoSchedule
Course moduleNWI-NM029B
Credits (ECTS)6
CategoryMA (Master)
Language of instructionEnglish
Offered byRadboud University; Faculty of Science; Wiskunde, Natuur- en Sterrenkunde;
Lecturer(s)
Coordinator
prof. dr. M.I. Katsnelson
Other course modules lecturer
Lecturer
prof. dr. M.I. Katsnelson
Other course modules lecturer
Contactperson for the course
prof. dr. M.I. Katsnelson
Other course modules lecturer
Examiner
prof. dr. M.I. Katsnelson
Other course modules lecturer
Academic year2018
Period
KW1-KW2  (03/09/2018 to 27/01/2019)
Starting block
KW1
Course mode
full-time
Remarks-
Registration using OSIRISYes
Course open to students from other facultiesYes
Pre-registrationNo
Waiting listNo
Placement procedure-
Aims
The course is focused on the concepts of order parameter, broken symmetry and scaling, with applications to solid state and soft condensed matter physics. General methods of theoretical physics such as path integrals and renormalization group are considered in a context of statistical physics.
Content
Landau theory of phase transitions and the concept of order parameter.
 
Ising model
 
Ginzburg-Landau theory; the role of fluctuations. Correlation length.
 
Concepts of scaling for the second-order phase transitions and its qualitative justification
 
Wilson theory of the phase transitions: renormalization group and ε-expansion.
 
Scaling concepts in polymer physics. Scaling properties of a single polymer chain.
 
Percolation.
 
Additional comments
More information: www.theorphys.science.ru.nl/people/katsnelson

Topics
• Landau theory of phase transitions and the concept of order parameter. Examples: structural phase transitions, magnetism, liquid crystals, superconductivity, superfluidity
• Ginzburg-Landau theory; the role of fluctuations. Correlation length
• Concepts of scaling for the second-order phase transitions and its qualitative justification ("Kadanoff decimation")
• Wilson theory of the phase transitions: renormalization group and µ-expansion
• Order parameter, broken symmetry and topological defects
• Fluctuations in low-dimensional systems and Mermin-Wagner theorem. Berezinski-Kosterlitz-Thouless transition
• Scaling concepts in polymer physics. Scaling properties of a single polymer chain
• Introduction to the statistical physics of membranes
• Percolation theory

Test information
Oral exam

Prerequisites
Bachelor Course Statistical Mechanics

Required materials
Book
Shang-Keng Ma, Modern theory of critical phenomena, Perseus Books Group

Recommended materials
Book
Gilles de Gennes, Scaling concepts in polymer physics, Cornell University Press

Instructional modes
Course occurrence

Lecture

Tutorial

Zelfstudie

Tests
Exam
Test weight1
Test typeExam
OpportunitiesBlock KW2, Block KW3