Rotational and Translational Characteristics of Topological...

가입

로그인

회원가입

검색

테마 스위처

다크모드

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

블로그 Literature

게시됨 2025-10-20 05:22:38

838

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.

좋아요, 공유, 댓글을 달려면 로그인이 필요해요!

RELX 電子菸全面解析：科技與時尚的完美融合

隨著全球對減害吸菸產品的關註日益提升，電子菸已逐漸成為傳統紙菸的替代選項。作為市場領導品牌之一，relx...

작성자 2025-05-29 01:44:10 0 3K

沸石转轮后端中效袋式过滤器：选型、应用与维护全指南

1. 为什么需要中效袋式过滤器？沸石转轮在VOCs治理中高效吸附有机物，但在脱附（高温再生）过程中可能产生颗粒物或残留VOCs。中效袋式过滤器（F7-F9）的作用：...

작성자 2025-06-26 09:02:57 0 2K

An Overview of the Development of Topological Vortex Theory (TVT)

1.2 Relationship and Differences 1.2.1 Subordination: Topological vortices are one of the...

작성자 2025-10-13 04:26:54 0 961

Made in the Philippines. A fast-assembly container house and prefabricated house manufacturing facility in the Philippines. Quick installation and low cost. Can be moved to multiple locations for continuous use. Capable of large-scale and small-scale prefa

We're a factory in the Philippines, producing our own raw materials, prefabricated dormitories,...

작성자 2025-10-08 03:30:35 0 1K

煙彈口感實測｜悅刻6代煙彈與LANA煙彈對比評測

隨著電子煙市場日益成熟，煙...

작성자 2025-06-07 02:25:17 0 2K