Geometric phase, rotational transforms, and adiabatic invariants in toroidal magnetic fields

Amitava Bhattacharjee, G. M. Schreiber, J. B. Taylor

Research output: Contribution to journalArticle

7 Scopus citations

Abstract

The rotational transform associated with the magnetic surfaces of a toroidal magnetic field with a nonplanar axis is an example of the angle anholonomy which recently has been much discussed in quantum and classical dynamics (the Berry phase and Hannay angle). The same anholonomic angle appears in the phase of a charged particle spiraling around its guiding center in a strong magnetic field. This accounts for a contribution to the longitudinal invariant, associated with the guiding-center motion, which is different for guiding-center orbits that circulate in opposite directions and is absent for orbits that are reflected between mirrors.

Original languageEnglish (US)
Pages (from-to)2737-2739
Number of pages3
JournalPhysics of Fluids B
Volume4
Issue number9
DOIs
StatePublished - Jan 1 1992
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Computational Mechanics
  • Condensed Matter Physics
  • Mechanics of Materials
  • Physics and Astronomy(all)
  • Fluid Flow and Transfer Processes

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