Volume 128, Number 5, December 2019
|Number of page(s)||6|
|Section||Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics, and Fluid Dynamics|
|Published online||31 January 2020|
Noncommutative dynamical variables in magnetohydrodynamics algebraic structure
1 Departamento de Física, Universidade Federal de Juiz de Fora - 36036-330, Juiz de Fora, MG, Brazil
2 Departamento de Física, Universidade Federal Rural do Rio de Janeiro - 23890-971, Seropédica, RJ, Brazil
3 Programa de Pós- Graduação Interdisciplinar em Física Aplicada, Instituto de Física, Universidade Federal do Rio de Janeiro - 21941-972, Rio de Janeiro, RJ, Brazil
Received: 12 September 2019
Accepted: 16 December 2019
Magnetohydrodynamics (MHD) describes the behavior of a charged fluid in a strong magnetic field. One way to analyze noncommutativity in MHD is by considering the result of an eternal magnetic field on noncommutative (NC) photon dynamics. In this paper we have introduced a new MHD Lagrangian and we have obtained the Navier-Stokes MHD equation. We have constructed a NC algebra for the dynamical MHD variables and analyzed the mechanical energy variation rate together with the coupling between the vortex and magnetic field. We have calculated the rate of variation of circulation and analyzed each term. We have seen that these terms are connected to noncommutativity which can act as a source of vorticity.
PACS: 47.10.-g – General theory in fluid dynamics / 11.10.Ef – Lagrangian and Hamiltonian approach / 11.10.Nx – Noncommutative field theory
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