Aharonov-Bohm effects in magnetohydrodynamics

作者：Yahalom Asher^*

来源：Physics Letters A, 2013, 377(31-33): 1898-1904.

DOI：10.1016/j.physleta.2013.05.037

• Aharonov-Bohm effect
• Magnetohydrodynamics
• Variational analysis

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.

• 出版日期2013-10-30