Aharonov-Bohm effects in magnetohydrodynamics

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Abstract

It is shown that an Aharonov-Bohm (AB) effect exists in magnetohydrodynamics (MHD). This effect is best described in terms of the MHD variational variables (Kats, 2004; Yahalom and Lynden-Bell, 2008; Yahalom, 2010) [1,10,12]. If a MHD flow has a non-trivial topology some of the functions appearing in the MHD Lagrangian are non-single-valued. These functions have properties similar to the phases in the AB celebrated effect (Aharonov and Bohm, 1959; van Oudenaarden et al., 1998) [2,3]. While the manifestation of the quantum AB effect is in interference fringe patterns (Tonomura et al., 1982) [4], the manifestation of the MHD Aharonov-Bohm effects are through new dynamical conservation laws.

Original languageEnglish
Pages (from-to)1898-1904
Number of pages7
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume377
Issue number31-33
DOIs
StatePublished - 30 Oct 2013

Keywords

  • Aharonov-Bohm effect
  • Magnetohydrodynamics
  • Variational analysis

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy

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