Vortical Dynamics of spinning quantum plasmas - Helicity Conservation

TL;DR

This paper introduces a new vorticity concept in spinning quantum plasmas, combining quantum and classical effects to reveal a conserved helicity invariant and richer magnetic phenomena compared to classical plasmas.

Contribution

It derives a grand generalized vorticity and helicity invariant for spinning quantum plasmas, bridging quantum spin effects with classical vortex dynamics.

Findings

Quantum spin vorticity combines with classical vorticity to form a new invariant.

The resulting plasma dynamics resemble classical vortex behavior.

Spinning quantum plasmas exhibit richer magnetic properties than classical counterparts.

Abstract

It is shown that a vorticity, constructed from spin field of a quantum spinning plasma, combines with the classical generalized vorticity (representing the magnetic and the velocity fields) to yield a new grand generalized vorticity that obeys the standard vortex dynamics. Expressions for the quantum or spin vorticity, and for the resulting generalized helicity invariant are derived. Reduction of the rather complex spinning quantum system to a well known and highly investigated classical form opens familiar channels for the delineation of physics peculiar to dense plasmas spanning solid state to astrophysical objects. A simple example is worked out to show that the magnetics of a spinning plasma can be much richer than that of the corresponding classical system.