Rotational and Translational Characteristics of Topological Vortices and Antivortices Based on Perspectives from Loops and Knots (3)

0
1K

3. Translational Characteristics of Topological Vortices and Antivortices

3.1 Translational Motion and Description via Knot Theory

The translational motion of vortices and antivortices can be effectively described by knot theory. This theory focuses on the continuous deformation of vortex trajectories in spacetime, where translational motion corresponds to the overall propagation of these trajectories. Using the optical vortex ring as an example, the translational characteristics of its trajectory can be characterized by the kinking number. Changes in the kinking number reflect the strength of interaction between vortex-antivortex pairs: pairs translating in the same direction tend to form stable knotted structures, while pairs translating in opposite directions may lose stability or even annihilate due to trajectory crossing.

3.2 Coupling Mechanism between Translation and Rotation

There is a significant coupling effect between the translational and rotational behaviors of vortices and antivortices. For instance, in quantum condensed matter systems, the translational velocity of a vortex-antivortex pair is often closely related to its rotational angular velocity. Such coupling behavior can be described by topological dynamical models, where translational motion can be driven by the angular velocity gradient, and changes in rotational motion are fed back through the kinking number. This coupling mechanism can induce a wealth of dynamical phenomena, such as the formation of complex topological structures like Möbius strips.

Buscar
Categorías
Read More
Shopping
夏日霧友聖經!西瓜冰撞擊宙斯六代體驗
當台灣夏天濕熱到連呼吸都覺得黏膩時,悅刻電子菸玩家們正掀起一場清涼革命!2025年最狂組合——悅刻六代宙斯主機配上【西瓜冰】新西蘭Zgar北極熊煙彈,簡直像把冰果店搬進呼...
By Ahr Alice 2025-09-27 01:19:43 0 1K
Religion
RELX 官網必看|悅刻6代煙彈與老冰棍口味推薦
隨著電子菸市場的普及,RELX(悅刻) 已成為消費者最常選擇的品牌之一。無論是新手入門還是老玩家,大家都會透過 relx 官網...
By ADA ADAD 2025-09-12 02:26:06 0 2K
Other
YSL Saint Laurent 時尚魅力:斜背包、肩背包與 LouLou 小號鏈條包全面解析
yves saint laurent(簡稱 ysl)一直是全球時尚愛好者的夢幻品牌,以簡約中帶有大膽個性的設計,成為巴黎奢華與摩登的代表。無論是日常穿搭還是正式場合,一只 YSL 斜背包 或...
By ADA ADAD 2025-09-19 02:41:40 0 1K
Party
balenciaga巴黎世家機車包全解析
**balenciaga 機車包(balenciaga city)**最初由設計師nicolas...
By ADA ADAD 2025-10-17 02:21:55 0 1K
Shopping
悅刻五代主機開箱實測:科技與口感的完美結合
...
By Joe Zhou 2025-06-18 01:45:27 1 2K