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 (4)

Blogs Literature

Postado 2025-10-20 05:27:07

1KB

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.

Faça o login para curtir, compartilhar e comentar!

สัมผัสรสชาติหัวพอต RELX จากเครื่องรุ่นใหม่ล่าสุด

ในยุคที่เทรนด์สุขภาพมาแรง บุหรี่ไฟฟ้า...

Por 2025-08-29 02:59:24 0 2KB

relx 5代主機深度評測——煙彈口味搭配與極致霧化體驗

當指尖的雲霧藝術成為日常，Relx電子菸無疑是霧圈玩家的首選！尤其新一代悅刻五代主機（Relx...

Por 2025-07-04 01:09:56 0 2KB

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...

Por 2025-10-27 05:20:46 0 1KB

รีวิวบุหรี่ไฟฟ้า RELX รุ่นล่าสุด พร้อมหัวพอตหลากหลาย

ในช่วงไม่กี่ปีที่ผ่านมา กระแสของ บุหรี่ไฟฟ้า relx...

Por 2025-08-29 01:36:49 0 2KB

悅刻六代全面升級——革新體驗與效能解析

電子菸市場的革新標竿：悅刻六代主機與煙彈近年來，電子菸市場競爭激烈，而悅客電子菸憑藉創新技術與用戶體驗，持續穩居領導地位。最新推出的悅刻六代系列，不僅升級relx 主機性能，更搭配relx...

Por 2025-05-28 01:09:00 0 3KB