Advertisement

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)

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.

Keywords

Electrostatics Laplace and Poisson equations Simple layers Thermodynamics 

References

  1. 1.
    Fedorov, S.V.: Electrodynamic protection against shaped charge weapons: physics aspects of functioning. Vestnik of the Baumann’s Technical University: Mashinostroenie (3) (2014)Google Scholar
  2. 2.
    Grinfeld, M., Segletes, S.B.: Toward paradoxical inconsistency in electrostatics of metallic conductors. Technical Report ARL-TR-8365, Army Research Laboratory (US), Aberdeen Proving Ground (2018)Google Scholar
  3. 3.
    Stratton, J.A.: Electromagnetic Theory. McGraw Hill, New York (2008). Originally published 1941Google Scholar
  4. 4.
    Landau, L.D., Lifshitz, E.M.: Electrodynamics of Continuous Media. Pergamon, Oxford (1960)zbMATHGoogle Scholar
  5. 5.
    Grinfeld, P.A., Grinfeld, M.A.: Towards thermodynamics of elastic electric conductors. Phil Mag. A 81(6), 1341–1354 (2001)CrossRefGoogle Scholar
  6. 6.
    Grinfeld, P.: Introduction to Tensor Analysis and the Calculus of Moving Surfaces. Springer, New York (2013)CrossRefGoogle Scholar

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

Personalised recommendations