在MHD负载和MHD称量上
On the MHD load and the MHD metage
摘要:
类比流体力学中的载荷和称量,我们定义了磁流体的磁流体动力学载荷和磁流体力学称量。它们可以用来把MHD中的磁场写成Clebsch形式。我们展示了如何利用这两个概念来推导出磁模拟的Ertel定理,以及如何在磁流体中的磁场的非平凡拓扑的存在下,可以将磁场线的链接数与不变的MHD负载相关联。本文说明了MHD度量在相应的标号空间中的对称平移产生交叉螺旋度守恒。
英文摘要:
In analogy with the load and the metage in hydrodynamics, we define magnetohydrodynamic load and magnetohydrodynamic metage in the case of magnetofluids. They can be used to write the magnetic field in MHD in Clebsch's form. We show how these two concepts can be utilised to derive the magnetic analogue of the Ertel's theorem and also, how in the presence of non-trivial topology of the magnetic field in the magnetofluid one may associate the linking number of the magnetic field lines with the invariant MHD loads. The paper illustrates that the symmetry translation of the MHD metage in the corresponding label space generates the conservation of cross helicity.
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