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Vortices in relativistic electron beams

Jovanovic1, Fedele, Shukla

  • 1Institute of Physics, P.O. Box 57, Yu-11001 Belgrade, Yugoslavia and International Centre for Theoretical Physics, P.O. Box 586, I-34100 Trieste, Italy.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|November 23, 2000
PubMed
Summary

Relativistic electron beams are described by electron-magnetohydrodynamic equations. High currents may cause magnetic field instability, leading to complex vortex patterns from fast magnetic reconnection.

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Area of Science:

  • Plasma Physics
  • Relativistic Electron Beams
  • Magnetohydrodynamics

Background:

  • Relativistic electron beams are fundamental in high-energy physics and astrophysics.
  • Understanding the behavior of intense electron beams in magnetic fields is crucial for accelerator design and plasma confinement.
  • Fast magnetic reconnection is a key process in astrophysical and laboratory plasmas, releasing stored magnetic energy.

Purpose of the Study:

  • To demonstrate the applicability of electron-magnetohydrodynamic (EMHD) equations for describing relativistic electron beams in their moving frame.
  • To investigate the instability of accelerator magnetic fields under large beam currents, specifically concerning fast magnetic reconnection.
  • To present and analyze a plausible saturated state of fast magnetic reconnection, characterized by a complex vortex pattern.

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Main Methods:

  • Utilizing electron-magnetohydrodynamic (EMHD) equations to model relativistic electron beam dynamics.
  • Analyzing the stability of accelerator magnetic fields for high beam currents.
  • Deriving nonlinear dispersion equations for the identified vortex structures.

Main Results:

  • The study confirms that EMHD equations accurately describe relativistic electron beams in the moving frame.
  • A complex vortex pattern is identified as a plausible saturated state of fast magnetic reconnection driven by large beam currents.
  • Nonlinear dispersion equations for these vortex structures were derived, elucidating their properties.

Conclusions:

  • Electron-magnetohydrodynamics provides a valid framework for studying relativistic electron beams.
  • Fast magnetic reconnection in accelerator magnetic fields can lead to complex vortex structures.
  • The derived vortex dynamics offer insights into energy dissipation and plasma behavior in high-current beam systems.