.png){kind=icon}
返回
Are Maxwell knots integrable?
.png){kind=icon}
OA
AI
DOI：10.1140/epjc/s10052-020-08745-7.png)
.png){kind=icon}
原文求助.png){kind=icon}
分享.png){kind=icon}
收藏
摘要
En 中文
We review properties of the null-field solutions of source-free Maxwell equations. We focus on the electric and magnetic field lines, especially on limit cycles, which actually can be knotted and/or linked at every given moment. We analyse the fact that the Poynting vector induces self-consistent time evolution of these lines and demonstrate that the Abelian link invariant is integral of motion. We also consider particular examples of the field lines for the particular family of finite energy source-free knot solutions, attempting to understand when the field lines are closed - and can be discussed in terms of knots and links. Based on computer simulations we conjecture that Ranada's solution, where every pair of lines forms a Hopf link, is rather exceptional. In general, only particular lines (a set of measure zero) are limit cycles and represent closed lines forming knots/links, while all the rest are twisting around them and remain unclosed. Still, conservation laws of Poynting evolution and associated integrable structure should persist.
Keyword:
FLUX-QUANTIZATION
MATRIX MODELS
期刊
IF:
4.8
论文数:
1.8W
被引数:
4.7W
机构
引用论文
.png){kind=icon}
分享收藏Attitudes regarding perioperative care of patients with OSA: a survey study of four specialties in the United States关于OSA患者围手术期护理的态度：一项对美国四个专业领域的调查性研究
PREAI
分享收藏Prediction of Hypothyroidism after Hemithyroidectomy: A Biochemical and Pathological Analysis.甲状腺次全切除术后甲状腺功能减退的预测：一项生物化学与病理学分析。OAAI
OAAI分享收藏
查看更多内容