M2 Complex systems

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  • Places available
    25
  • Language(s) of instruction
    Anglais
    French
Présentation
Objectives

The goal is to provide a state-of-the-art research-oriented education in fundamental physics. Complex systems are thereby studied with the tools of statistical physics at or out-of equilibrium, field theory, stochastic processes, dynamical systems, non-linear physics, inference techniques and computational approaches. These systems encompass complex networks, active matter, the interface between social sciences and physics, soft matter, biological systems, complexity in the quantum realm, or questions raised in the context of « big data » and « machine learning ».

We prepare students to do their PhD in one of the many university or industrial laboratories that deal with the physics and modelling of complex systems. Some students enter the private sector right after receiving their master's degree.

Location
PARIS 15
Course Prerequisites

The programme is an extension of the fundamental physics course. The main prerequisite is a good standard in statistical physics, quantum physics and mathematics.

Skills
  • Grasp the notion of complexity in physics and related disciplines; understand the issues surrounding it and the questions it raises.

  • Proficiently use advanced theoretical tools in statistical and nonlinear physics, both theoretical and numerical.

  • Written (report writing) and oral communication.

  • Autonomy in the search for internships and theses.

Post-graduate profile

Students graduating from the course have the ideal profile to embark on a doctoral programme that is predominantly experimental or theoretical, or that combines
the two aspects. There is a wide field of potential subject areas in which complexity and emerging phenomena are at work:
active matter, the junction between physics and social science, "soft" matter, biological systems, complex networks, statistical and non-linear physics in the broad sense, or even questions arising from "big data" or "machine learning" issues.

Career prospects

While some students enter the private sector at the end of the M2, the vast majority continue on to doctoral programmes.
A thesis then opens to way
into the private sector (R&D, control, consultancy, expertise) and the academic field.

Collaboration(s)
Laboratories

Laboratoire de recherche en informatique
Fluides, Automatique et Systèmes Thermiques
Laboratoire de Physique des Solides
Laboratoire de physique théorique et modèles statistiques
Institut d'astrophysique spatiale
Laboratoire Aimé Cotton
Laboratoire de Physique Théorique
Maison de la Simulation - DRF
Centre de mathématiques et de leurs applications
Laboratoire des Signaux et Systèmes.

Programme
Matières ECTS Cours TD TP Cours-TD Cours-TP TD-TP A distance Projet Tutorat
Stochastic processes 6 52 0 0 0 0 0 0 0 0
Statistical field theory 6 52 0 0 0 0 0 0 0 0
Nonlinear physics and dynamical systems 3 26 0 0 0 0 0 0 0 0
Computational science 3 26 0 0 0 0 0 0 0 0
Matières ECTS Cours TD TP Cours-TD Cours-TP TD-TP A distance Projet Tutorat
Soft matter 3 26 0 0 0 0 0 0 0 0
Quantum field theory 3 26 0 0 0 0 0 0 0 0
Numerical simulations 3 26 0 0 0 0 0 0 0 0
Nonequilibrium and active systems 3 26 0 0 0 0 0 0 0 0
Mathematical tools 3 26 0 0 0 0 0 0 0 0
Biophysics 3 26 0 0 0 0 0 0 0 0
Advanced statistical mechanics 3 26 0 0 0 0 0 0 0 0
Advanced non-linear physics 3 26 0 0 0 0 0 0 0 0
Matières ECTS Cours TD TP Cours-TD Cours-TP TD-TP A distance Projet Tutorat
UE d'orientation thématique Mécanique des fluides 12 100
Tutorat bibliographique 3
Techniques de microfabrication 3 30
Microfluidique 3 30
Laboratoires sur puce 6 50
Introduction à la biologie 3 25
Matières ECTS Cours TD TP Cours-TD Cours-TP TD-TP A distance Projet Tutorat
Systemes Colloidaux 3 50
Rhéologie 6 40 40
Interfaces et dispersions 3 45
Hydrodynamique 3 45
Granulaires 3 31 31
Elasticité 6 52.5
Anglais 3 33
Matières ECTS Cours TD TP Cours-TD Cours-TP TD-TP A distance Projet Tutorat
Milieux Poreux 3 22.5
Microfluidique 3 30
Insertion Professionnelle / Management 3 33
Matières ECTS Cours TD TP Cours-TD Cours-TP TD-TP A distance Projet Tutorat
Theoretical Physics Spring School of Complex Systems 12 112 0 0 0 0 0 0 0 0
Stochastic dynamics and energetics 3 28 0 0 0 0 0 0 0 0
Statistical field theory of complex matter 3 28 0 0 0 0 0 0 0 0
Out of equilibrium statistical physics 3 28 0 0 0 0 0 0 0 0
Interface physics/social sciences 3 28 0 0 0 0 0 0 0 0
Inference, learning & Big Data 3 28 0 0 0 0 0 0 0 0
Econophysics 3 28 0 0 0 0 0 0 0 0
Complex networks 3 28 0 0 0 0 0 0 0 0
Matières ECTS Cours TD TP Cours-TD Cours-TP TD-TP A distance Projet Tutorat
Stage PCS 18
Matières ECTS Cours TD TP Cours-TD Cours-TP TD-TP A distance Projet Tutorat
Stage MF 30
Matières ECTS Cours TD TP Cours-TD Cours-TP TD-TP A distance Projet Tutorat
Stage FCMD 30
Modalités de candidatures
Application period
From 08/03/2021 to 25/06/2021
Compulsory supporting documents
  • All transcripts of the years / semesters validated since the high school diploma at the date of application.

  • Curriculum Vitae.

  • Motivation letter.

Additional supporting documents
Contact(s)
Course manager(s)
Admission