Rotational and Translational Characteristics of Topological...

Join

Sign In

Sign Up

Search

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

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.

Please log in to like, share and comment!

ช้อปคุ้ม! อัปเกรดประสบการณ์สูบด้วย relx รุ่น 5 และหัวน้ำยารุ่นใหม่

relx บุหรี่อิเล็กทรอนิกส์ ทางเลือกใหม่สำหรับสายควันยุคดิจิทัล ในยุคที่ทุกอย่างต้องสะดวก รวดเร็ว...

By 2025-11-25 01:14:44 0 375

#ModularHomes #ModularHouse #ContainerHome #PrefabHouse / #PrefabHomes #LuxuryPrefab #MountainCabin #PremiumPrefabHotels #OffGridLiving #B2BConstruction #B2CConstruction #CabinCore #CustomPrefab #BareSteelFrame (or #OriginalSteelFrame) #ResortDevelopment

1. Your Philippine Manufacturer of Quick-Assembly Container Homes & Prefab Houses.2....

By 2025-09-09 10:01:06 0 2K

Tory Burch：優雅與實用兼備的現代時尚之選

在追求時尚與品質並重的現代女性心中，Tory 是一個象徵著優雅、自信與經典的名字。自2004年創立以來，Tory Burch...

By 2025-07-08 02:09:44 0 2K

Balenciaga 台灣專櫃指南

在高端時尚與潮流運動鞋領域，Balenciaga 巴黎世家始終站在全球潮流最前端。不論是明星、時尚博主還是街頭潮人，巴黎世家的鞋款總能引領話題。其中，balenciaga...

By 2025-08-29 02:44:33 0 2K

อัปเดตอาดิดาสไทยแลนด์ และสินค้ายอดนิยม

ในโลกแห่งแฟชั่นและกีฬา adidas เป็นแบรนด์ระดับโลกที่ครองใจผู้บริโภคมานานหลายทศวรรษ...

By 2025-10-25 02:59:08 0 754