Rotational and Translational Characteristics of Topological...

Acessar

Entrar

Cadastrar

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

1KB

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 o login para curtir, compartilhar e comentar!

Exploring the Growth of the US Home Security Systems Market: Trends and Insights

The US home security systems market has witnessed significant growth in recent years, driven by...

Por 2025-09-24 09:52:00 0 2KB

我家的明星产品

Tuodianda focuses on producing vacuum battery valves, IPR valves, turbocharger relief valves,...

Por 2025-06-23 01:18:47 6 4KB

A Mathematical and Physical Analysis On the Origin of Objects (or Matters) in Space (3)

3.2 Topological Defects as Precursors of Matter In TVT, the essence of an object is a...

Por 2025-12-19 04:50:50 0 419

LCD/org

Edge100%ORG

Por 2025-08-07 16:16:52 1 2KB

The bucket is finished.

Por 2026-01-19 01:47:18 0 23