TY - JOUR

T1 - Aharonov-Bohm effects in magnetohydrodynamics

AU - Yahalom, Asher

PY - 2013/10/30

Y1 - 2013/10/30

N2 - 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.

AB - 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.

KW - Aharonov-Bohm effect

KW - Magnetohydrodynamics

KW - Variational analysis

UR - http://www.scopus.com/inward/record.url?scp=84878885439&partnerID=8YFLogxK

U2 - 10.1016/j.physleta.2013.05.037

DO - 10.1016/j.physleta.2013.05.037

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AN - SCOPUS:84878885439

SN - 0375-9601

VL - 377

SP - 1898

EP - 1904

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 31-33

ER -