The ponderomotive Lorentz force

Graham Cox; Mark Levi

doi:10.1088/1361-6544/ab7d29

The ponderomotive Lorentz force

Graham Cox
, Mark Levi

Research output: Contribution to journal › Review article › peer-review

2 Scopus citations

Abstract

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.

Original language	English (US)
Pages (from-to)	4030-4045
Number of pages	16
Journal	Nonlinearity
Volume	33
Issue number	8
DOIs	https://doi.org/10.1088/1361-6544/ab7d29
State	Published - Aug 2020

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics
General Physics and Astronomy
Applied Mathematics

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10.1088/1361-6544/ab7d29

Cite this

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title = "The ponderomotive Lorentz force",

abstract = "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.",

author = "Graham Cox and Mark Levi",

note = "Publisher Copyright: {\textcopyright} 2020 IOP Publishing Ltd \& London Mathematical Society.",

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AB - 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.

UR - https://www.scopus.com/pages/publications/85087173518

UR - https://www.scopus.com/pages/publications/85087173518#tab=citedBy

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DO - 10.1088/1361-6544/ab7d29

M3 - Review article

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SN - 0951-7715

VL - 33

SP - 4030

EP - 4045

JO - Nonlinearity

JF - Nonlinearity

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The ponderomotive Lorentz force

Abstract

All Science Journal Classification (ASJC) codes

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