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American Journal of Physics
Master de Physique fondamentale et sciences pour l'ingenieur (M2)
International Centre for Fundamental Physics (ICFP)
Renseignements :
Giulio Biroli
giulio.biroli@ens.fr (academic) and
Medina Mahrez
medina.mahrez@phys.ens.fr (for practical matters)
Advanced statistical physics
This course covers advanced topics in Statistical Physics. It assumes a very good knowledge of the Statistical Physics concepts and methods taught in standard lectures at the M1 level.
We strongly suggest the students who do not have a strong background in Statistical Physics to profit from the summer break and acquire it. Any standard Statistical Physics textbook should be helpful.
We have also prepared an exercise sheet
Math Support
with definitions and problems. It focuses on the mathematical tools needed before the beginning of our lectures and exercise sessions. We strongly suggest the students to work on these problems as a preparation for our course.
We will not explicitly correct these exercises but we will assume that the students are already proficient at using these methods.
Final mark: 20% homework during Autumn break, 80% final written exam which will cover conceptual questions and some exercises
Lectures: Monday 8:30 - 10:30 salle 24.34.207
Exercises: Monday 10:45 - 12:45 salles 24.34.303 and 304
The lecture notes will progressively appear here.
2022-2023
Math Support
Math Support
Slides
Hand-written notes
Introduction (Basic concepts, inequivalence of ensembles, the notion of a bath)
Chapter
Introduction (Basic concepts, inequivalence of ensembles, the notion of a bath)
TD 1
Ergodicity, baths (and phonons)
Hand-written notes
Phase Transitions
Chapter
Phase transitions
2dXY model and the nucleation argument for 1st order phase transitions
Hand-written notes
TD 2
The Blume Capel Model
Solution
TD 3
First analysis of the 2d XY model: spin-waves and high temperature expansion
TD 4
Real-space renormalisation group
TD 5
Second analysis of the 2d XY model: renormalization group
Homework
Homework (with very sketchy solutions)
Data sets 2dIM T=Tc h
OUT2dL10Tc
OUT2dL16Tc
OUT2dL20Tc
OUT2dL40Tc
Data sets 2dIM T h=0
OUT2dL10Th0
OUT2dL16Th0
OUT2dL20Th0
OUT2dL40Th0
Data sets 2dIM T close to Tc h=0
OUT2dL10Th0close
OUT2dL16Th0close
OUT2dL20Th0close
OUT2dL40Th0close
Hand-written notes
Quantum Statistical Physics
Chapter
Quantum Statistical Physics
TD 6
Quantum classical mapping
TD 7
Quantum Ising Model
Exam: 9th of January, 2023, 8:30 - 11:30 (3h) amphi 45 A
You can write in English or French, as you prefer.
No books, notes, calculator nor mobile phone allowed.
Not only the results but also the clarity and relevance
of the explanations will be evaluated.
Focus on the questions asked and answer them
(and not some other issue).
If doubt exists as to the interpretation of any question, the candidate is urged to consult the examiners in the room and
to submit with the answer paper a clear statement of any assumptions made.
2021-2022
Hand-written notes
Introduction (Basic concepts, inequivalence of ensembles, GGEs, the notion of a bath)
Chapter
Introduction (Basic concepts, inequivalence of ensembles, GGEs, the notion of a bath)
TD 1
Ergodicity, phonons, baths
TD 1 Solution -
hand-written notes
TD 3
The unzipping transition of the DNA
TD 3 Solution -
hand-written notes
Solutions, also for TD5 (2dXY model)
Homework
Finite size scaling
Data sets 2dIM T=Tc h
OUT2dL10Tc
OUT2dL16Tc
OUT2dL20Tc
OUT2dL40Tc
Data sets 2dIM T h=0
OUT2dL10Th0
OUT2dL16Th0
OUT2dL20Th0
OUT2dL40Th0
Data sets 2dIM T close to Tc h=0
OUT2dL10Th0close
OUT2dL16Th0close
OUT2dL20Th0close
OUT2dL40Th0close
Data sets 3dIM T h=0
OUT3dL10Th0
OUT3dL16Th0
OUT3dL20Th0
OUT3dL4Th0
TD 5
Renormalization group approach for the XY model
-
hand-written solution
TD 6
Quenched randomness
(optional)
Solution
TD 7
Quantum - classical mappings
TD 7 Solution -
hand-written notes
TD 8
The fully connected quantum Ising model
Exam 2021
Exam 2021
Exam 2021 - 2nd
Exam 2021 2nd
Exam: 3rd of January at 8h30, AMPHI 45B, 3h duration.
No books, notes, calculator nor mobile phone allowed.
You can write in English or French, as you prefer (Italian and Spanish also accepted)
Recommendations:
If doubt exists as to the interpretation of any question, the candidate is urged to consult the examiners in the room and to submit with the answer paper a clear statement of any assumptions made.
Clarity and organization of the answers are important, and will be taken into account in the final mark.
Master de Physique fondamentale et sciences pour l'ingenieur (M2)
Systèmes complexes
Calendar
Planning Lecture Halls
Renseignements :
Dominique Mouhanna (Laboratoire de Physique de la Matiere Condensee)
mouhanna@lptmc.jussieu.fr
Jean-Baptiste Fournier (Laboratoire Matiere et Systemes Complexes)
jean-baptiste.fournier@univ-paris-diderot.fr
Emmanuel Trizac (Laboratoire de Physique Theorique et Modeles Statistiques)
emmanuel.trizac@u-psud.fr
Advanced statistical physics
2022-2023
Thursday 13:45 - 15:45 at
Université Paris Cité
Salle C304A
Special: Thursday 15th of September, also at 10:45 - 12:45 at Salle HF264E
This year I will center my lectures around the description of the so-called
"disordered systems". The choice is timely, given the 2021 Nobel Prize
attributed to G. Parisi.
I will cover static and dynamics aspects. I will
orient you towards my lecture notes and bibliographical references.
2022
Notes du cours
Slides & hand-written notes
Chapter
Fully connected Random Field Ising Model with replicas
Hand-written notes on finite dimensional disordered models
Hand-written notes on dynamics
2015-2016 Notes
Out of equilibrium dynamics
Exam 2022
Solutions
2020-2022
Notes du cours
Introduction (Basic concepts, inequivalence of ensembles, Generalised Gibbs Ensembles)
Phase transitions
Video 2nd Lecture
Video 3rd Lecture
Slides from a Lecture on phase transitions in 2d particle systems
TD 1 Blume Capel model
Solution
Frustration
Video 4th Lecture
Video 5ft Lecture
Random matrices
Video 6th Lecture
Video 7th Lecture
TD 2 Numerical evaluation of random matrix properties
TD 2 Random Matrices
Solution
Chapter on random matrix GOE calculations
Disordered systems
Slides
Video disorder 1
Video disorder 2
Video disorder 3
Video disorder 4
TD3 Random field Ising Model
Solution
Extra material
TD Frustration - Maxwell (pdf)
TD The random field Ising model (pdf)
Solution (pdf)
TD Correlations in disordered systems (pdf)
Exams from past years
Exam 2017,
Exam 2 2017,
Exam 2018,
Exam 2 2018,
Exam 3 2018,
Exam 2019
Exam 2020 with solution
Exam 2021
Systèmes désordonnés
M2-NP244-SDSMC-PTSC
2016-2017 Notes du cours
Disordered systems (pdf)
2015-2016 Notes du cours
Out of equilibrium dynamics (pdf)
License de Physique (L1)
Renseignements :
responsable : Bertrand Laforge (LPNHE Jussieu), laforge@lpnhe.in2p3.fr, 0144274756
secretaire : Jocelyne Quellier (LPNHE Jussieu) jocelyne.quellier@upmc.fr,
0144274044
LP111
Presentation 2011
TDs 2011
Master de Physique fondamentale et appliquée (M2)
Nouveau site
Formation : Noyaux, particules, astroparticules et cosmologie (NPAC)
Ecole doctorale ED381, constituents elementaires - systemes complexes
Renseignements :
responsable : Achille Stocchi (LAL Orsay), stocchi@lal.in2p3.fr, 0164468319
sécretaire : Catherine Bourge (LAL Orsay), bourge@lal.in2p3.fr, 0164468326
Mécanique statistique et processus stochastiques :
applications à la physique de particules et cosmologie
M2-NP319-
(2009)
Poly du cours + TDs + articles a lire (en preparation)
(pdf)
Master de Physique fondamentale et appliquée (M2)
Formation : Champs, particules et matière (CPM)
Specialité: Systèmes dynamiques et statistiques de la matière complexe
Parcours: Champs, matière, ordre et désordre
Renseignements :
responsable : Patricio Leboeuf (LPTMS Orsay), leboeuf@lptms.u-psud.fr
sécretaire : Sylvie Loeffel (IPN Orsay), loeffel@ipno.in2p3.fr, 0169157331
Mécanique Statistique et méthodes stochastiques
(2005)
Poly du cours + TDs (en preparation)
(pdf)
Articles
(pdf)
Licence de Physique appliquee aux sciences de la vie et de
la planete -- Paris VI
Statistiques
Cours, TDs, TP, Projets Statistiques 2004 (pdf)
Examen septembre 2004 (pdf)
Examen janvier 2005 (pdf)
Examen septembre 2005 (pdf)
Magistere interuniversitaire de physique -- ENS
(1997-2002)
Mécanique quantique avancée
TDs Mécanique quantique avancée 1999
TDs Mécanique quantique avancée 2000
TDs Mécanique quantique avancée 2001
Examen 1999
Processus stochastiques
TDs Processus stochastiques