Rotational and Translational Characteristics of Topological...

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

795

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.

Vă rugăm să vă autentificați pentru a vă dori, partaja și comenta!

เครื่องรุ่น 6 ของ Relx แรงไม่ตก แบตเตอรี่ทนนาน

Relx เป็นแบรนด์ชั้นนำในวงการ e-cigarette ที่ได้รับความนิยมทั่วโลก...

By 2025-08-19 02:34:49 0 2K

Crafting Excellence: The Art & Science Behind Our Premium Spirits Bottle Manufacturing

For spirits—whether it’s smooth whiskey, crisp gin, or luxurious brandy—the...

By 2025-10-31 03:05:13 0 749

https://www.dhgate.com/product/luxury-high-end-winter-women-s-coat-new-autumn/1078558906.html

https://www.dhgate.com/product/luxury-high-end-winter-women-s-coat-new-autumn/1078558906.html

By 2025-10-07 03:31:36 1 1K

คู่มือเลือกหัวพอต RELX และรสชาติแนะนำ

บุหรี่ไฟฟ้า relx เป็นหนึ่งในแบรนด์ชั้นนำที่ได้รับความนิยมสูงในตลาด...

By 2025-09-12 02:22:32 0 1K

Nike人氣單品全攻略：包款×鞋款×帽款推薦

對於喜愛潮流與運動風格穿搭的朋友來說，Nike 不僅僅是運動品牌，更是一種生活態度。無論是限量球鞋、百搭帽款，還是實用又有型的包包系列，都能輕鬆打造出屬於你的個人風格。...

By 2025-08-02 02:31:05 0 2K