Conservation of writhe helicity under anti-parallel reconnection

Area of Science:

• Fundamental reconnection events across classical/quantum fluids, plasma physics, polymer physics, and DNA biology.
• Topological fluid mechanics and magnetohydrodynamics (MHD) principles.
• Investigates flux tube interactions and magnetic reconnection phenomena.

Background:

• Reconnection is a key process in diverse scientific fields, involving fluid dynamics, plasma physics, and molecular biology.
• Topological fluid mechanics provides methods to analyze flux tube properties like helicity.
• Helicity is a crucial invariant in magnetohydrodynamics and plasma physics.

Purpose of the Study:

• To demonstrate the conservation of writhe during anti-parallel magnetic flux tube reconnection.
• To establish conditions under which helicity is conserved during reconnection events.
• To identify the source of deviations from helicity conservation in reconnection processes.

Main Methods:

• Application of fundamental results from topological fluid mechanics.
• Calculation of flux tube helicity using writhe and twist components.
• Analysis of anti-parallel reconnection scenarios for interacting flux tubes.

Main Results:

• Writhe is shown to be conserved during anti-parallel reconnection.
• Helicity conservation is achieved when the reconnected tube's twist is the sum of original twists.
• Deviations from helicity conservation are attributed to locally inserted or deleted twist.

Conclusions:

• Writhe conservation is a key factor in helicity conservation during reconnection.
• Local twist dynamics at the reconnection site dictate deviations from overall helicity conservation.
• Findings have significant implications for understanding energy and helicity dynamics in various physical systems.