Rotational and Translational Characteristics of Topological...

Rotational and Translational Characteristics of Topological Vortices and Antivortices Based on Perspectives from Loops and Knots (2)

Статьи пользователей Literature

Сообщение 2025-10-20 05:13:27

1Кб

2. Rotational Characteristics of Topological Vortices and Antivortices

2.1 Rotational Direction and Angular Velocity Properties

The direction of rotation is a key physical feature distinguishing vortices from antivortices. According to TVT, the rotational direction of a vortex is determined by its topological charge, while that of an antivortex is opposite. Taking optical vortices as an example, a vortex with a topological charge of +1 typically exhibits counterclockwise rotation, whereas an antivortex with a charge of -1 rotates clockwise. This difference in rotational direction leads to rich dynamical behaviors in vortex-antivortex pairs: co-rotating vortex pairs may enhance the system's angular velocity, forming a so-called "warm spacetime" structure; whereas counter-rotating vortex-antivortex pairs may lead to reduced system energy due to angular momentum cancellation, forming a "cold spacetime" or returning to the ground state.

2.2 Analysis of Rotational Stability in Loop Structures

The loop structure is an important topological model for describing the morphology of vortex-antivortex pairs in three-dimensional space. For example, optical vortex rings can form stable topological configurations through closed phase trajectories. Within a loop structure, the rotational directions of the vortex and antivortex directly affect their dynamical stability: co-rotating vortex-antivortex pairs can maintain structural stability utilizing the loop's closure; whereas counter-rotating pairs may undergo topological annihilation due to mutual cancellation of angular velocities. This stability is closely related to topological invariants; for instance, the knot number of the loop can serve as a key indicator for judging the structural stability of a vortex-antivortex pair.

Войдите, чтобы отмечать, делиться и комментировать!

relx電子菸再進化：紅蘋果六代煙彈全面登場

隨著電子菸市場持續升溫，relx電子菸以其穩定性能與多樣口味在台灣深受歡迎。最新推出的【紅蘋果 relx infinity 2...

От 2025-10-31 02:14:04 0 994

Relx 官網入門指南：從 1 代到 2 代全面解析

在台灣電子菸市場中，RELX 悅刻一直都是最具知名度與討論度的品牌之一。從第一代推出至今，憑藉簡單易用的設計與穩定的口感表現，迅速累積大量愛用者。若想入手正品，最推薦的方式就是透過...

От 2025-09-19 02:39:07 0 1Кб

All the high-quality department store products you need from China, I have them.

I have all kinds of industrial products in China in stock and am committed to serving thousands...

От 2025-06-27 08:27:44 0 3Кб

On the Dialectical Unity of Absolute Space and Relative Space (2)

2. Newton's Absolute Space: The Background Stage as a Physical Entity In his Philosophiæ...

От 2025-10-22 05:39:38 0 1Кб

https://aibo7384.en.made-in-china.com/product/gUPYRyDTRfVt/China-Popping-Bubble-Tea-Boba-Pearls-Making-Machine-Pop-Boba-Making.html?utm_source=facebook&utm_medium=free&utm_campaign=featuredproduct_share&utm_content=beOnSuiowvVN_00

Popping Bubble Tea Boba Pearls Making Machine Pop Boba Making Click to quickly check key...

От 2025-06-16 00:55:12 1 3Кб