Structure of Aristotelian Electrodynamics

Structure of Aristotelian Electrodynamics
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亚里士多德电动力学的结构

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发表时间:
2015
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通讯作者:
T. Jacobson
T. Jacobson
中科院分区:
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文献类型:
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作者:
T. Jacobson

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亚里士多德电动力学(AE)描述了具有不会短路的极强电场的等离子体的状态,电荷电流完全由对产生和洛伦兹四力与曲率辐射反应的平衡决定。这里展示了场张量的主零方向和相关的本征值是如何支配声发射的,以及当本征值(从而某些坐标系中的电场)消失时,如何从声发射顺利地产生无力电动力学。根据主零方向的一阶导数形成的一对“场曲标量”,给出了声发射有效性的判据。
Aristotelian electrodynamics (AE) describes the regime of a plasma with a very strong electric field that is not shorted out, with charge current determined completely by pair production and the balance of Lorentz 4-force against curvature radiation reaction. Here it is shown how the principal null directions and associated eigenvalues of the field tensor govern AE, and how force-free electrodynamics arises smoothly from AE when the eigenvalues (and therefore the electric field in some frame) vanish. A criterion for validity of AE is proposed in terms of a pair of "field curvature scalars" formed from the first derivative of the principal null directions.