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
收藏
页码：4030 / 4045
页数：16
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