Rotational and Translational Characteristics of Topological...

Rotational and Translational Characteristics of Topological Vortices and Antivortices Based on Perspectives from Loops and Knots (4)

المدونات Literature

نشر بتاريخ 2025-10-20 05:27:07

1كيلو بايت

4. Topological Significance of Loops and Knots

4.1 Topological Invariants in Loop Structures

As an important topological model for describing vortex-antivortex pairs in three-dimensional space, the stability of loop structures can be characterized by a series of topological invariants. Taking the optical vortex ring as an example, its knot number determines the topological undeformability of the structure. Changes in the knot number can reflect the interaction between vortex-antivortex pairs: co-rotating vortex pairs tend to form stable loop structures with higher knot numbers, while counter-rotating pairs may lead to structural annihilation due to a decrease in the knot number. Therefore, topological invariants provide an important theoretical tool for analyzing the stability of vortex-antivortex pairs.

4.2 Topological Phase Transition Behavior in Knot Theory

Knot theory provides an effective framework for understanding the topological phase transitions of vortex-antivortex pairs. For example, in optical vortices, changes in the kinking number can cause significant transitions in the phase structure. Such phase transitions are closely related to the rotational and translational behaviors of vortex-antivortex pairs: co-rotating vortex pairs help form topological structures with stable kinking numbers, while counter-rotating pairs may trigger topological phase transitions due to abrupt changes in the kinking number. This mechanism provides a theoretical basis for topological control in optical device design and quantum information transmission.

الرجاء تسجيل الدخول , للأعجاب والمشاركة والتعليق على هذا!

悅刻五代主機開箱實測：科技與口感的完美結合

...

بواسطة 2025-06-18 01:45:27 1 2كيلو بايت

我家的明星产品

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

بواسطة 2025-06-23 01:18:47 6 4كيلو بايت

relx 6代主機全面升級支援多代煙彈暢吸體驗

近年來，relx 電子菸在台灣電子煙市場中熱度不減，以其穩定的品質與創新的吸煙體驗，成功擄獲眾多使用者的青睞。最新推出的【relx...

بواسطة 2025-10-31 02:11:17 0 982

尼尔森螺柱焊机配件

螺柱焊机配件

بواسطة 2025-10-22 03:05:15 0 938

一个有点懂中国的法国护肤品牌

Fresh馥蕾诗是由Lev Glazman和Alina...

بواسطة 2025-11-11 01:26:50 0 852