Charged Fluids Dynamics (S2)

Charged Fluids Dynamics

Contact: O. Agullo

1. CHARGED PARTICLES IN AN ELECTROMAGNETIC FIELD: MHD
       Elements of kinetic theory: velocity, pressure and temperature.
       Two-fluid model,
       One-fluid model, quasi-neutrality, validity of the model
       Magnetic diffusion, magnetic Reynolds number
   
2. IDEAL MHD
    Energy conservation within ideal MHD
    Alfvén theorem: Magnetic flux conservation, Frozen-in properties
    Magnetic helicity and topology, Invariants

3. MHD WAVES
    Magnetosonic and Alfvén waves.
      
4. MHD Equilibria
    Magnetic pressure
    Cylindrical equilibria: theta-pinch, z-pinch, screw-pinch
    Planetary magnetospheres (Ferraro's theorem)
   
5. MHD INSTABILITIES (in confined plasmas, space and astrophysical plasmas)
     Instabilities induced by a pressure/thermal gradient (Rayleigh-Bénard, Rayleigh-Taylor)
     Magneto-rotational instability and application to star accretion disks

6 INTRODUCTION TO DYNAMO
    Different mechanisms of dynamo
    Robert's dynamo, anti-dynamo theorem
    Experiments: Riga, Von Karman sodium (VKS)
    Applications: solar dynamo and terrestrial dynamo