Application of Herglotz’s variational principle to electromagnetic systems with dissipation

نویسندگان

چکیده

This work applies the contact formalism of classical mechanics and field theory, introduced by Herglotz later developed in context geometry, to describe electromagnetic systems with dissipation. In particular, we study an electron a non-perfect conductor variation cyclotron radiation. order apply system governed Lorentz force, it is necessary generalize gauge add term Lagrangian. We also k-contact theory for fields model behaviour themselves under external damping. show how describes evolution media some circumstances. The corresponding Poynting theorem derived. discuss its applicability dipole highly resistive dielectric.

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ژورنال

عنوان ژورنال: International Journal of Geometric Methods in Modern Physics

سال: 2022

ISSN: ['0219-8878', '1793-6977']

DOI: https://doi.org/10.1142/s0219887822501560