Biot-Savart law:
u(x) = Γ/4π ∮ dl×r̂/|r|²
Before reconnection:
H = Γ²·Lk (link number)
After reconnection:
Lk → 0 (unlinked loops)
Helicity transferred
to writhe + twist
Kelvin's theorem:
Γ = const along vortex
(inviscid flow)
Viscosity enables
reconnection events
u(x) = Γ/4π ∮ dl×r̂/|r|²
Before reconnection:
H = Γ²·Lk (link number)
After reconnection:
Lk → 0 (unlinked loops)
Helicity transferred
to writhe + twist
Kelvin's theorem:
Γ = const along vortex
(inviscid flow)
Viscosity enables
reconnection events
t = 0.00