Rotational and Translational Characteristics of Topological...

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

Blogs Literature

Posted 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.

Vă rugăm să vă autentificați pentru a vă dori, partaja și comenta!

Aluminum Foil Peel-off Ends Maker Poe Lid Making Machine

Aluminum Foil Peel-off Ends Maker Poe Lid Making Machine Click to quickly check key information...

By 2025-06-16 08:27:16 1 3K

Competitive Landscape in the Erectile Dysfunction Drugs Market: Innovations, Key Players, and Strategic Moves

The global Erectile Dysfunction (ED) drugs market size was USD 2.46 Billion in 2022 and is...

By 2025-08-26 11:21:22 0 2K

RELX悅刻電子菸全攻略｜Infinity 2 六代煙彈全新上市！相容Relx 4、5代主機

在電子菸市場中，relx 悅刻一直以創新技術與穩定品質深受用戶青睞。從第一代經典機型到如今的第六代 Infinity 2...

By 2025-10-10 02:27:34 0 1K

คำถามยอดฮิต! คู่มือเลือกหัวพอดและพอด RELX สำหรับมือใหม่

1. relx infinity ดีไหม เหมาะกับใคร? relx...

By 2025-11-25 01:16:47 0 796

On the Dialectical Unity of Absolute Space and Relative Space (1)

Bao-hua ZHANG Abstract In the history of physics, Newton's absolute space and Einstein's...

By 2025-10-22 05:31:37 0 1K