德鲁德金属传导理论的问题:与狭义相对论的不相容性
Trouble with the Drude theory of metallic conduction: Incompatibility with special relativity
摘要:
本文证明了电导率理论的基本模型之一--经典Drude电导率模型与狭义相对论的不一致性。由于这个不正确的模型,根据麦克斯韦电磁理论,载流闭合电路被认为不产生二阶电场。但是,Edwards等人在超导Nb-Ti线圈中检测到径向指向载流导体的小的二阶电场。阿西斯等人声称,麦克斯韦理论没有预测任何二阶力,因此我们应该认真对待韦伯的电动力学。但是,我们证明了在载流导体附近不仅产生磁场,而且产生二阶电场,这与麦克斯韦理论是一致的。该电场径向指向载流导体,如Edwards的实验中所检测到的。我们还表明,积极的领域,检测Sansbury在U形铜导体进行恒定电流,应创建作为我们的理论的后果。然后,我们估计这个电场的强度的顺序,并表明它是在与实验值一致。
英文摘要:
In this paper, we show that the classical Drude model of electrical conductivity, one of the fundamental models in the theory of electrical conductivity, is inconsistent with the special relativity. Due to this incorrect model, a current carrying closed circuit is thought not to produce second order electric field according to Maxwell's theory of electromagnetism. But, Edwards et al. detected a small second order electric field radially pointing toward a current carrying conductor in a superconducting Nb-Ti coil. Assis et al. claim to show that Maxwell's theory does not predict any second order forces and hence we should take Weber's electrodynamics seriously. But, we show that not only a magnetic field, but also a second order electric field is produced in the vicinity of a current carrying conductor, which is consistent with Maxwell's theory. This electric field points radially toward the current carrying conductor as detected in Edwards' experiments. We also show that the positive field, detected by Sansbury in a U-shaped copper conductor carrying a constant current, should be created as a consequence of our theory. We then estimate the order of the strength of this electric field and show that it is in agreement with the experimental values.
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