Rotational and Translational Characteristics of Topological...

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

المدونات Literature

نشر بتاريخ 2025-10-20 05:22:38

1كيلو بايت

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.

الرجاء تسجيل الدخول , للأعجاب والمشاركة والتعليق على هذا!

Synthetic and Bio-Based Aniline Market Share & Competitive Landscape

The Synthetic and Bio-Based Aniline Market is highly competitive, with companies...

بواسطة 2025-09-26 01:06:47 0 2كيلو بايت

الرئيسية

111

1

بواسطة 2025-10-27 03:04:16 0 1كيلو بايت

RELX 6代電子菸全面升級，帶你進入新世代霧化體驗

隨著電子霧化科技不斷演進，RELX...

بواسطة 2025-07-08 01:59:15 0 2كيلو بايت

空軍一號潮流與搭配選購指南

提到街頭與經典並存的球鞋，nike air force 1 是許多人鞋櫃的必備款。穩重的鞋型、耐穿的材質與百搭配色，讓 Nike Air Force經典款...

بواسطة 2025-10-27 02:15:47 0 1كيلو بايت

Competitive Landscape in the Quadricycle Market: Innovations, Key Players, and Strategic Moves

The quadricycle market size in the world was USD 18.11 billion in 2021, and it is anticipated to...

بواسطة 2025-10-31 08:00:08 0 1كيلو بايت