The ponderomotive Lorentz force

This paper describes a curious phenomenon: a particle in a rapidly varying potential is subject to an effective magnetic-like force. This force is in addition to the well-known ponderomotive force, but it has not been shown to exist before except for the linear case of a rapidly rotating quadratic s...

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Bibliographic Details
Published inNonlinearity Vol. 33; no. 8; pp. 4030 - 4045
Main Authors Cox, Graham, Levi, Mark
Format Journal Article
LanguageEnglish
Published IOP Publishing 01.08.2020
Subjects
averaging
Hamiltonian systems
magnetic terms
symplectic maps
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Summary:This paper describes a curious phenomenon: a particle in a rapidly varying potential is subject to an effective magnetic-like force. This force is in addition to the well-known ponderomotive force, but it has not been shown to exist before except for the linear case of a rapidly rotating quadratic saddle potential. We show that this is a universal phenomenon: the magnetic-like force arises generically in potential force fields with rapid periodic time dependence, including but not limited to rotational dependence.
Bibliography:NON-103451.R2
London Mathematical Society
ISSN:0951-7715
1361-6544
DOI:10.1088/1361-6544/ab7d29