Aharonov-Bohm effects in magnetohydrodynamics

Asher Yahalom

doi:10.1016/j.physleta.2013.05.037

Aharonov-Bohm effects in magnetohydrodynamics

Asher Yahalom

Department of Electrical and Electronics Engineering

Ariel University

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	1898-1904
Number of pages	7
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	377
Issue number	31-33
DOIs	https://doi.org/10.1016/j.physleta.2013.05.037
State	Published - 30 Oct 2013

Keywords

Aharonov-Bohm effect
Magnetohydrodynamics
Variational analysis

All Science Journal Classification (ASJC) codes

General Physics and Astronomy

Access to Document

10.1016/j.physleta.2013.05.037

Cite this

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title = "Aharonov-Bohm effects in magnetohydrodynamics",

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.",

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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

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DO - 10.1016/j.physleta.2013.05.037

M3 - مقالة

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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 -

Aharonov-Bohm effects in magnetohydrodynamics

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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