Toward Paradoxical Inconsistency in Electrostatics of Metallic Conductors

  • Michael Grinfeld
  • Pavel Grinfeld
  • Steven B. Segletes
Conference paper
Part of the Conference Proceedings of the Society for Experimental Mechanics Series book series (CPSEMS)


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.


Electrostatics Laplace and Poisson equations Simple layers Thermodynamics 


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Copyright information

© Society for Experimental Mechanics, Inc. 2020

Authors and Affiliations

  • Michael Grinfeld
    • 1
  • Pavel Grinfeld
    • 2
  • Steven B. Segletes
    • 1
  1. 1.Weapons and Materials Research DirectorateArmy Research LaboratoryAberdeen Proving GroundUSA
  2. 2.Drexel UniversityPhiladelphiaUSA

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