Helix String Model for Turbulent Vorticity and Cavitation in Shearing Arc Plasma

This paper models turbulent vorticity in shearing plasma layers as strings of identical helix units smoothly joined at their junctions. We obtain helix strings tying loops, knots, links and braids on tetragonal and cubic lattices. In state diagrams for conduction electrons in cool, dense discharge plasma we find a subdomain for cavitation and curves with zero chemical potential for equilibrium of fermi and bose systems. We present a scaling cycle of vortex stretching, twisting, breaking and reconnection at high Reynolds number forming vortex lattices at arbitrary mesh refinement. Its exponential particle acceleration brings ion circulation energy within range of high‐energy events associated with lightning and ball lightning. This vortex plasma has a state equation with negative pressure for self‐confinement. We argue that its energy surface in phase space favours self‐organization. And we discuss vortex plasma with steady‐state energy conversion by buoyancy in the nuclear fusion regime.