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We developed a new method to analyze complex vector field connectivity, applicable to magnetic flux ropes and plasma jets. This technique reveals periodic magnetic reconnection cycles in laboratory plasma experiments.

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Area of Science:

  • Plasma Physics
  • Fluid Dynamics
  • Applied Mathematics

Background:

  • Vector fields with tangled tubular bundles, such as magnetic flux ropes, are crucial in various scientific domains.
  • Analyzing the dynamic connectivity and entanglement of these fields has been challenging, particularly in complex experimental data.

Purpose of the Study:

  • To introduce and validate a novel technique for evaluating the changing connectivity of vector fields forming tubular bundles.
  • To apply this method to analyze magnetic reconnection in laboratory plasma experiments where traditional methods fail.

Main Methods:

  • Extension of field line winding theory to any vector field forming a tubular bundle.
  • Application of the technique to magnetic field data from laboratory plasma experiments (UCLA Large Plasma Device).
  • Analysis of magnetic reconnection and flux rope coherence through field line entanglement and writhing structure.

Main Results:

  • The developed technique successfully analyzes complex magnetic field structures without needing to identify dominant current sheets.
  • Demonstrated a periodically oscillating cycle of magnetic field structure variation in the plasma experiment.
  • Identified magnetic reconnection as the dominant process driving the observed variations, leading to periodically varying coherence of a merged central flux rope.

Conclusions:

  • The new technique provides a robust method for assessing vector field connectivity in complex systems.
  • The study reveals a dynamic interplay of instability and magnetic reconnection governing the evolution of magnetic flux ropes in laboratory plasmas.
  • This work advances the understanding of magnetic reconnection and field line entanglement in astrophysical and laboratory plasmas.