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arXiv · 2103.05396

Motions of a charged particle in the electromagnetic field induced by a non-stationary current

Manuel Garzón·Stefano Marò
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Abstract

In this paper we study the non-relativistic dynamic of a charged particle in the electromagnetic field induced by a periodically time dependent current J along an infinitely long and infinitely thin straight wire. The motions are described by the Lorentz-Newton equation, in which the electromagnetic field is obtained by solving the Maxwell's equations with the current distribution J as data. We prove that many features of the integrable time independent case are preserved. More precisely, introducing cylindrical coordinates, we prove the existence of (non-resonant) radially periodic motions that are also of twist type. In particular, these solutions are Lyapunov stable and accumulated by subharmonic and quasiperiodic motions.

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Manuel Garzón, Stefano Marò. 2021-03-09. Motions of a charged particle in the electromagnetic field induced by a non-stationary current. https://doi.org/10.1016/j.physd.2021.132945

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