Geometric phase in Brillouin flows

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 detailed. The physical origin of this ph...

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Veröffentlicht in:Physics of plasmas 2019-12, Vol.26 (12)
Hauptverfasser: Rax, Jean-Marcel, Gueroult, Renaud
Format: Artikel
Sprache:eng
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Zusammenfassung: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 detailed. 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 the study of 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.
ISSN:1070-664X
1089-7674
DOI:10.1063/1.5127799