In this paper, we attempt to introduce a new approach to determine the magnetic helicity and energy dissipation of the normal electromagnetic vortex filaments in magnetohydrodynamics (MHD). We successfully compute the vector potential and magnetic helicity of Frenet–Serret vectors and associated electromagnetic fields in the existence of the Lorentz force. We further describe a set of differential equations relating the magnetic vector potential of the electromagnetic vector fields and the Godbillon–Vey helicity model. Then, we focus on the time evolution of the normal electromagnetic field lines in MHD to evaluate the evolution of the magnetic helicity and energy dissipation theoretically. As a result, we obtain analytical solutions and numerical simulations of the time evolution equations of both geometric quantities as well as the magnetic and electric field vectors.

中文翻译：

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MHD中洛伦兹力影响下的磁螺旋度和正常电磁涡旋丝流动

在本文中，我们尝试引入一种新方法来确定磁流体动力学（MHD）中正常电磁涡旋丝的磁螺旋度和能量耗散。我们成功地计算了存在洛伦兹力时 Frenet-Serret 矢量和相关电磁场的矢量势和磁螺旋度。我们进一步描述了一组与电磁矢量场的磁矢量势和 Godbillon-Vey 螺旋度模型相关的微分方程。然后，我们关注MHD中正常电磁场线的时间演化，从理论上评估磁螺旋度和能量耗散的演化。因此，