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Magnetostatic Boundary Conditions01:28

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Causality Bounds on Dissipative General-Relativistic Magnetohydrodynamics.

Ian Cordeiro1, Enrico Speranza1,2, Kevin Ingles1

  • 1Illinois Center for Advanced Studies of the Universe Department of Physics, <a href="https://ror.org/047426m28">University of Illinois Urbana-Champaign</a>, Urbana, Illinois 61801, USA.

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|September 13, 2024
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This summary is machine-generated.

Causality in relativistic magnetohydrodynamics requires nonideal effects to be small, limiting kinetic instabilities. This is vital for accurate plasma simulations near supermassive black holes.

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Area of Science:

  • Plasma physics
  • Relativistic astrophysics
  • Fluid dynamics

Background:

  • Braginskii's magnetohydrodynamics describes plasma behavior.
  • Understanding plasma dynamics near supermassive black holes is crucial.

Purpose of the Study:

  • Derive conditions for causality and hyperbolicity in relativistic magnetohydrodynamics.
  • Assess the impact of nonideal effects on plasma stability.

Main Methods:

  • Analysis of relativistic magnetohydrodynamics with shear, bulk, and heat diffusion.
  • Investigation in curved spacetime and the fully nonlinear regime.

Main Results:

  • Established necessary and sufficient conditions for causality and strong hyperbolicity.
  • Demonstrated that causality constrains nonideal effects and kinetic instabilities.

Conclusions:

  • Causality imposes strict limits on nonideal effects in relativistic plasmas.
  • Results are essential for validating fluid dynamical simulations in astrophysical contexts.