Rotational and Translational Characteristics of Topological...

Participar

Entrar

Registrar

Pesquisar

Theme Switcher

Night Mode

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

Blogs Literature

Postado 2025-10-20 05:22:38

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.

Faça Login para curtir, compartilhar e comentar!

Japan Digital Signage Market Size: Trends and Growth Outlook

The Japan Digital Signage Market Size is witnessing remarkable growth, driven by the...

Por 2025-09-22 11:58:03 0 1K

2024年开始设计自己的服装包包品牌，最喜欢的是KT和迪士尼系列

自从变成一位网络红人，便开始制作自己的品牌店，希望自己的产品可以远销世界各个角落呀～

Por 2025-12-16 22:09:17 0 382

Double the Summer Joy!

Don't let water ruin your adventure! 💦 Our Waterproof Bag is your ultimate...

Por 2025-06-24 05:24:16 1 3K

Acinetobacter Pneumonia Therapeutics Market to Reach USD 1.14 Billion by 2033, Growing at 5.8% CAGR

Acinetobacter Pneumonia Therapeutics Market Overview The global Acinetobacter pneumonia...

Por 2025-10-27 05:29:10 0 1K

招聘泰国业务员ประกาศรับสมัครงานขาย

คุณสมบัติผู้สมัคร ...

Por 2025-07-11 06:25:50 2 3K