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 (2)

Blogs Literature

Posted 2025-10-20 05:13:27

1K

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.

Please log in to like, share and comment!

Made in the Philippines. A fast-assembly container house and prefabricated house manufacturing facility in the Philippines. Quick installation and low cost. Can be moved to multiple locations for continuous use. Capable of large-scale and small-scale prefa

We're a factory in the Philippines, producing our own raw materials, prefabricated dormitories,...

By 2025-10-08 03:30:35 0 1K

Expanding Financial Frontiers: The Rise of the Peer-to-Peer Lending Market

The Peer To Peer Lending Market Share is experiencing remarkable growth as digital innovation...

By 2025-10-31 08:33:21 0 1K

法國直流接觸器市場：產品類型、市場趨勢與未來機遇

法國直流接觸器市場正在快速增長，主要受到電動車（EV）普及、再生能源整合以及工業自動化發展的推動。隨著法國積極推進能源轉型與碳減排政策，直流接觸器已成為確保高壓系統安全與效率的關鍵組件。...

By 2025-08-24 08:24:47 0 2K

Dive into the Enchantment of Crystal River’s Teal Gems

Hey, gem enthusiasts and craft lovers! Let’s take a moment to get lost in the mesmerizing...

By 2025-07-31 14:06:15 0 2K

山东建筑大学机电工程学院“讴歌美丽建功乡村”团队赴高密市开展社会实践活动

山东建筑大学校领导带队赴高密市开展社会实践基地签约及访企拓岗活动...

By 2025-07-17 15:45:32 0 2K