Relativistic Plasma Astrophysics

Lectures by Prof. Maxim Lyutikov · RCAAM, Academy of Athens · November 2026

Research Center for Astronomy and Applied Mathematics, Academy of Athens
The course

Syllabus

Three lectures over two days · 3 & 5 November 2026

Three lectures, each roughly a half-day, building from the fundamentals of relativistic magnetohydrodynamics to the physics of coherent radio emission and the newest ideas on “astrophysical lasers”.

Level. Advanced graduate course. A working knowledge of electrodynamics and basic plasma physics is assumed. Bring questions, there is time for discussion at the end of each day.

Lectures · click to expand

  • Primer on relativistic magnetohydrodynamics (MHD)
  • The force-free limit
  • The pulsar equation
  • The Blandford–Znajek process
Why it matters. Force-free electrodynamics is the language of pulsar magnetospheres and black-hole jets; the Blandford–Znajek process is how a spinning black hole powers them.
  • Reactive instabilities
  • Kinetic instabilities
  • Nonlinear instabilities
Why it matters. Pulsar radio emission and Fast Radio Bursts are far too bright to be incoherent: some collective plasma process must radiate in phase. These are the candidates.
  • Primer on laser–plasma interaction; the parameters a0 (nonlinearity) and χ (quantum effects)
  • Radiation formation, radiation reaction, ponderomotive effects
  • Nonlinear scattering processes and mesoscopic effects
Why it matters. Near a magnetar an FRB is a relativistically strong wave, a0 ≫ 1: the same physics as high-intensity laser experiments on Earth, at astrophysical scale.