The ponderomotive Lorentz force

被引：2

作者：

Cox, Graham ^{[1
]}

Levi, Mark ^{[2
]}

机构：

[1] Mem Univ Newfoundland, Dept Math & Stat, St John, NF, Canada

[2] Penn State Univ, Dept Math, University Pk, PA 16802 USA

来源：

NONLINEARITY | 2020年 / 33卷 / 08期

基金：

加拿大自然科学与工程研究理事会; 美国国家科学基金会;

关键词：

Hamiltonian systems; averaging; symplectic maps; magnetic terms; GEOMETRY;

D O I：

10.1088/1361-6544/ab7d29

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：4030 / 4045

页数：16

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