Next student seminar :
Access to the program
Here you can find information about your internships:
Experimental Internship - Undergraduate program
Master ICFP first year Internship
News : ICFP Research seminars
November 14 - 18, 2022 :
All information about the program
Contact us - Student support and Graduate School office :
Tél : 01 44 32 35 60
enseignement@phys.ens.fr
Next student seminar :
Access to the program
Here you can find information about your internships:
Experimental Internship - Undergraduate program
Master ICFP first year Internship
News : ICFP Research seminars
November 14 - 18, 2022 :
All information about the program
Contact us - Student support and Graduate School office :
Tél : 01 44 32 35 60
enseignement@phys.ens.fr
Physique de la matière condensée / Soft matter and biological physics / Physique Quantique = COURS OBLIGATOIRE
Enseignants : Emmanuel Trizac, Martin Lenz et Frédéric Van Wijland
Chargé de TD :
Nombre d’ECTS : 6
Langue d’enseignement : Anglais
Description :
I Introduction to phase transitions and critical phenomena
1- The problems raised by phase transitions, from a statistical
mechanics perspective
2- Classification of phase transitions
3- Ising model : why ?
4- Order parameter and symmetry breakdown
5- Local order and correlation functions : from magnets to liquids
II First order phase transitions
1- Unstable isotherms, double-tangent and Maxwell construction
2- Spinodal and binodal
3- Changing ensembles
4- van der Waals equation
5- The case of mixtures
III Critical phenomena : qualitative approaches
1- Weiss molecular field
2- Variational mean-field
3- Critical exponents
4- Landau theory
5- Correlation functions and Ginsburg-Landau functional
6- Validity of mean-field
IV Renormalisation group ideas
1- What are the problems ?
2- Definition of a renormalisation group transformation
3- Fixed points and universality
4- Scale invariance, critical exponents, and finite size scaling
5- Two-dimensional systems and conformal invariance
Web pages of the course:
For the first seven weeks (E. Trizac)
For the next six weeks:
Soft-Matter track (M. Lenz)
Quantum Physics & Condensed Matter tracks (F. van Wijland, M. Fagotti)
Next student seminar :
Access to the program
Here you can find information about your internships:
Experimental Internship - Undergraduate program
Master ICFP first year Internship
News : ICFP Research seminars
November 14 - 18, 2022 :
All information about the program
Contact us - Student support and Graduate School office :
Tél : 01 44 32 35 60
enseignement@phys.ens.fr