Generalized cross-helicity in non-ideal magnetohydrodynamics

IF 2.1 3区 物理与天体物理 Q2 PHYSICS, FLUIDS & PLASMAS Journal of Plasma Physics Pub Date : 2023-12-01 DOI:10.1017/s002237782300123x
Prachi Sharma, Asher Yahalom
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Abstract

The objective of the present paper is to investigate the constancy of the topological invariant, denoted the non-barotropic generalized cross-helicity in the case of non-ideal magnetohydrodynamics (MHD). Existing work considers only ideal barotropic MHD and ideal non-barotropic MHD. Here, we consider dissipative processes in the form of thermal conduction, finite electrical conductivity and viscosity and the effect of these processes on the cross-helicity conservation. An analytical approach has been adopted to obtain the mathematical expressions for the time derivative of the cross-helicity. Obtained results show that the generalized cross-helicity is not conserved in the non-ideal MHD limit and indicate which processes affect the helicity and which do not. Furthermore, we indicate the configurations in which this topological constant is conserved despite the dissipative processes. Some examples and applications are also given.
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非理想磁流体力学中的广义交叉螺旋度
本文的目的是研究非理想磁流体力学(MHD)情况下拓扑不变量的恒常性,即非正压广义交叉螺旋度。现有工作只考虑理想正压MHD和理想非正压MHD。在这里,我们考虑了热传导、有限电导率和粘度形式的耗散过程,以及这些过程对交叉螺旋守恒的影响。采用解析的方法得到了交叉螺旋度时间导数的数学表达式。所得结果表明,广义交叉螺旋度在非理想MHD极限下是不守恒的,并指出了哪些过程影响螺旋度,哪些不影响。此外,我们指出了在耗散过程中该拓扑常数守恒的构型。并给出了一些实例和应用。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Journal of Plasma Physics
Journal of Plasma Physics 物理-物理:流体与等离子体
CiteScore
3.50
自引率
16.00%
发文量
106
审稿时长
6-12 weeks
期刊介绍: JPP aspires to be the intellectual home of those who think of plasma physics as a fundamental discipline. The journal focuses on publishing research on laboratory plasmas (including magnetically confined and inertial fusion plasmas), space physics and plasma astrophysics that takes advantage of the rapid ongoing progress in instrumentation and computing to advance fundamental understanding of multiscale plasma physics. The Journal welcomes submissions of analytical, numerical, observational and experimental work: both original research and tutorial- or review-style papers, as well as proposals for its Lecture Notes series.
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