Rotational and Translational Characteristics of Topological...

Registreer

Log in

Creëer je account

Zoeken

Theme Switcher

Night Mode

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.

Please log in to like, share and comment!

Commercial Aircraft Interior Lighting Market to Reach USD 22.60 Billion by 2033, Growing at 5.2% CAGR

Commercial Aircraft Interior Lighting Market Overview The global commercial aircraft interior...

By 2025-10-27 05:20:46 0 1K

電子菸推薦指南｜LANA 主機、DIYA 與叮啞一次性全解析【台灣現貨】

隨著電子菸市場在台灣快速成長，消費者對於產品的外觀設計、吸感體驗及便利性要求越來越高。無論是入門玩家還是老手，都希望能找到適合自己需求的電子菸與煙油。今天將為大家電子菸推薦幾款熱門選擇，包括...

By 2025-08-15 03:14:57 0 2K

รีวิว RELX บุหรี่ไฟฟ้าของแท้ในไทย รสชาติดี ควันนุ่ม

relx บุหรี่ไฟฟ้า ทางเลือกใหม่ของคนรุ่นใหม่ relx...

By 2025-07-28 01:15:54 0 2K

Special-Shaped Safety Lids / Tinplate Production Equipment, Aluminum Foil Peel-off Lid Making Machines

Special-Shaped Safety Lids / Tinplate Production Equipment, Aluminum Foil Peel-off Lid Making...

By 2025-06-25 00:44:50 2 3K

Portable Digital Conductivity Meter Market Revenue, Trends, Analysis, Demand and Forecast to 2032

The Portable Digital Conductivity Meter Market was valued at USD 0.5 billion in 2024 and is...

By 2025-12-22 08:21:43 0 328