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Discrete approach of nonlinear electromagnetism and Lorentz acceleration

Abstract : An original physical model of nonlinear electromagnetism is derived from the fundamental principles of discrete mechanics. This model, based on the conservation of acceleration and energy, expresses that acceleration is the sum of two orthogonal contributions, one to divergencefree and another to curl-free, as a formal Hodge-Helmholtz decomposition. The two scalar and vector potentials of the acceleration represent the energies of the longitudinal and transverse waves. The equation of electromagnetism obtained is presented as an alternative to Maxwell's equations. Among the important differences between the two formulations, the Lorentz force naturally appears as one of the inertial terms of acceleration. As examples of applications, we consider some cases of verifications serving to validate the alternative formulation. These test cases make it possible to find the behaviors predicted by the classical field theory. The mimetic approach is the ideal framework to discretize the equation of motion from discrete primary operators and their derived operators.
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https://hal.archives-ouvertes.fr/hal-03524712
Contributor : Jean-Paul Caltagirone Connect in order to contact the contributor
Submitted on : Thursday, January 13, 2022 - 1:48:13 PM
Last modification on : Sunday, January 16, 2022 - 3:11:53 AM

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  • HAL Id : hal-03524712, version 1

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Jean-Paul Caltagirone. Discrete approach of nonlinear electromagnetism and Lorentz acceleration. 2022. ⟨hal-03524712⟩

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