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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