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.

Pesquisar
Categorias
Leia Mais
Outro
To build a safe house for humans, the assembly process takes 3 hours.
1.The top choice for emergency response after a typhoon. A safe house that can be assembled in 3...
Por Emerson Go 2025-08-16 10:17:32 0 2K
Shopping
奢華保養新標竿:創世紀原晶逆時金萃揭開肌膚年輕密碼
在追求極致抗老與肌膚修護的保養旅程中,創世紀原晶逆時金萃無疑成為眾多保養迷眼中的夢幻逸品。這款來自海洋奢華護膚權威 La Mer 的頂級精華,以珍稀原晶活萃為核心成分,搭配品牌靈魂成分...
Por Lin Maa 2025-05-29 01:52:18 0 3K
Literature
On the Topological Nature of Noether's Theorem (5)
References Kibble, T. W. B. (1976). Topology of Cosmic Domains and Strings. Journal of Physics...
Por Bao-hua ZHANG 2025-11-27 03:24:30 0 1K
Shopping
รีวิวพอตไฟฟ้า RELX Zero พร้อมราคาน่าคบและกลิ่นยอดฮิต
ในช่วงไม่กี่ปีที่ผ่านมา ราคาบุหรี่ไฟฟ้า ได้กลายเป็นจุดสนใจของผู้บริโภคที่ต้องการทางเลือ...
Por Joe Zhou 2025-07-19 02:07:17 1 2K
Sports
YEEZY 系列熱銷關鍵分析|你不可錯過的 450 與 500 潮鞋指南
在現今街頭潮流文化中,yeezy鞋款無疑佔據了一席之地,無論是設計美學還是品牌故事都令人著迷。Kanye West 與 adidas 攜手推出的 YEEZY...
Por Joe Zhou 2025-06-07 01:44:08 0 3K