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arXiv 2312.04583physics.gen-ph
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具有非零迹的电磁场能量-动量张量、维里定理与等离子体平衡

The energy-momentum tensor of the electromagnetic field with a non-zero trace, the virial theorem and plasma equilibrium

Yurii A. Spirichev

AI总结:

针对传统电磁场能量-动量张量零迹导致的维里定理矛盾与等离子体平衡误判,本文由电磁场与感应张量的矩阵乘积构造非零迹EMT,并阐明其对电磁力、平衡条件及长寿命等离子体现象的意义。

摘要:

已知电磁场(EMF)能量-动量张量(EMT)的零迹会导致带电粒子系统维里定理中的矛盾,并得出关于等离子体平衡状态的错误结论。本文从电磁场张量和感应张量出发,以其矩阵乘积的形式得到了一个具有非零迹的EMT。其迹是EMF的一个二次不变量。文中展示了新EMT对电磁力、维里定理以及带电粒子系统平衡状态条件和长寿命等离子体现象的推论。

英文摘要:

The zero trace of the known energy-momentum tensors (EMT) of the electromagnetic field (EMF) leads to contradictions in the virial theorem for a system of charged particles and incorrect conclusions on the equilibrium state of the plasma. From the EMF and induction tensors, in the form of their matrix product, a EMT with a non-zero trace is obtained. Its trace is a quadratic invariant of the EMF. The consequences of the new EMT for electromagnetic forces, the virial theorem and the conditions of the equilibrium state of a system of charged particles and long-lived plasma phenomena are shown.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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