Vortical dynamics of spinning quantum plasmas: Helicity conservation

Swadesh M. Mahajan, Felipe A. Asenjo

Research output: Contribution to journalArticlepeer-review

62 Scopus citations


It is shown that a vorticity, constructed from the 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.

Original languageEnglish
Article number195003
JournalPhysical Review Letters
Issue number19
StatePublished - 2 Nov 2011
Externally publishedYes


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