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Particle energization through time-periodic helical magnetic fields.

Dhrubaditya Mitra1, Axel Brandenburg2, Brahmananda Dasgupta3

  • 1Nordita, KTH Royal Institute of Technology and Stockholm University, Roslagstullsbacken 23, 10691 Stockholm, Sweden.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
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Charged particle motion in helical Arnold-Beltrami-Childress (ABC) magnetic fields is chaotic. Their kinetic energy can grow indefinitely in time-periodic ABC fields, approaching a power law distribution.

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Area of Science:

  • Plasma physics
  • Magnetohydrodynamics
  • Nonlinear dynamics

Background:

  • Arnold-Beltrami-Childress (ABC) magnetic fields exhibit complex field line geometry.
  • Chaotic dynamics are prevalent in various physical systems, including plasma physics.

Purpose of the Study:

  • To investigate the motion of charged particles in helical time-periodic ABC magnetic fields.
  • To analyze the chaotic nature and energy dynamics of charged particles within these fields.

Main Methods:

  • Numerical simulations of charged particle trajectories.
  • Analysis of Lyapunov exponents to quantify chaos.
  • Statistical analysis of kinetic energy distribution over time.

Main Results:

  • Charged particle motion exhibits chaotic behavior with a positive Lyapunov exponent at late times.
  • Kinetic energy of charged particles increases indefinitely in time-periodic ABC fields.
  • Mean kinetic energy follows a power law with an exponent approaching unity.
  • Kinetic energy distribution approaches a Gaussian with steeper tails for an initial uniform distribution.

Conclusions:

  • Helical time-periodic ABC magnetic fields can lead to unbounded energy gain for charged particles.
  • The chaotic nature of the field influences particle dynamics and energy growth.
  • Understanding these dynamics is crucial for applications involving charged particles in complex magnetic environments.