Abstract
In a recent report, we drew attention to the paradoxical inconsistency of classical electrostatics with the model of a crystalline conductor. There are different ways to avoid this inconsistency. Mostly, they rely on physical ad hoc assumptions associated with the introduction of additional constants and models of charged liquids. In this report, we suggest another approach, which does not require the introduction of any additional physical constants. The proposed theory includes classical electrostatics as a special case.
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Notes
- 1.
In this and the figures to follow (though its justification remains to be assumed or derived later in this report), one may follow the heuristic rule-of-thumb that dark- and light-gray denote electrically neutral domains and interfaces, respectively, red denotes a domain void of negative charges, while blue denotes an interface comprised solely of mobile negative charges and characterized by a surface charge density.
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Grinfeld, M., Grinfeld, P., Segletes, S.B. (2020). Toward Paradoxical Inconsistency in Electrostatics of Metallic Conductors. In: Lamberson, L. (eds) Dynamic Behavior of Materials, Volume 1. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, Cham. https://doi.org/10.1007/978-3-030-30021-0_2
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DOI: https://doi.org/10.1007/978-3-030-30021-0_2
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