Geometric phase in Brillouin flows

TL;DR

This paper reveals a geometric phase in Brillouin plasma flows caused by cyclic magnetic and electric field variations, linking it to an inductive electric field drift and proposing new methods to control plasma rotation.

Contribution

It explicitly derives the gauge field for the geometric phase and connects magnetic field modulation effects to electric field-driven plasma rotation control.

Findings

Identifies a geometric phase arising from cyclic field variations.

Shows the equivalence of magnetic modulation effects to electric field influence.

Suggests new ways to manipulate plasma rotation using geometric phase principles.

Abstract

A geometric phase is found to arise from the cyclic adiabatic variation of the crossed magnetic and electric fields which sustain the Brillouin rotation of a plasma column. The expression of the gauge field associated with this geometric phase accumulation is explicited. The physical origin of this phase is shown to be the uncompensated inductive electric field drift that stems from magnetic field cyclic variations. Building on this result, the effect of a weak, periodic and adiabatic modulation of the axial magnetic field on the particle guiding center drift motion is demonstrated to be equivalent to that of a perpendicular electric field, allowing to study the gauge induced Brillouin flow through a geometrically equivalent linear radial electric field. This finding opens new perspectives to drive plasma rotation and hints at possible applications of this basic effect.