Courses ¨

MAGNETIC HYDRODYNAMICS
(V.S.Beskin)

  • Introduction
    • Conditions in cosmic plasma, role of the magnetic field
    • Charged particles in the electro-magnetic field
    • Motion of particles in weakly inhomogeneous fields
    • Adiabatic invariants
    • Drift approximation
  • Hydrodynamics
    • Equations of perfect hydrodynamics
    • Equations of imperfect hydrodynamics
    • Sound
  • Accretion
    • Hydrodynamic accretion onto compact objects in absentia magnetic field
    • Disk accretion and accretion onto magnetized star
    • Notion of alpha-disk
    • Alfven radius
  • Single-liquid magnetic hydrodynamics
    • Main equations
    • Implementation conditions
    • Freezing-in
    • Magnetic Reynolds number
  • Magnetic hydrodynamics of plasma
    • Two-liquid hydrodynamics as a consequence of kinetic equations
    • Qualitative analysis of transport factors
    • Single-liquid limit
    • Generalized Ohm's law
  • Magnetohydrodynamic waves
    • Alfven and magnetoacoustic waves
    • Phase and group polars
    • Damping of MHD waves
    • Simple waves
  • Shock waves
    • Tangent and rotational ruptures
    • Conditions on ruptures
    • Shock waves
    • Evolutionary condition
  • Stationary solutions
    • One-dimensional configurations (current layer, q- and z-pinches)
    • Two-dimensional configurations
    • Grad-Shafranov equation
    • Forceless approach
    • Generalization on relativistic motion case
    • Neutron star magnetosphere
    • Black hole magnetosphere
  • Turbulent dynamo
    • Kauling theorem
    • Alpha-Omega-dynamo
     
  • LITERATURE:
    1. L.D. Landau, E.M. Lifshitz. Hydrodynamics (Vol. 6)
    2. L.D. Landau, E.M. Lifshitz. Electrodynamics of the continuum (Vol. 8)
    3. B.B. Kadomtsev. Collective phenomena in plasmas
    4. Questions of plasma theory. vol.1. Edited by M.A. Leontovich
    5. B.V. Somov. Cosmic electrodynamics and solar physics
    6. S. Shapiro, S. Teukolsky. Black holes, white dwarves and neutron stars

to the top