Rotational and Translational Characteristics of Topological...

Login

Anmelden

Registrieren

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

804

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!

รีวิวเปรียบเทียบ relx รุ่น 5 และ 6

รีวิวเจาะลึก RELX รุ่นฮิต: Infinity, รุ่น 5 และรุ่น 6 ในโลกของ relx...

Von 2025-09-05 01:26:08 0 2KB

Mengcun - Capital of Elbow Pipe Fittings, Core Origin of Flanges!

Direct supply from our own factory. We offer complete specifications, excellent quality, and...

Von 2025-09-23 16:15:12 0 1KB

電子菸推薦：殺小主機與SHAXIAO方形主機的台灣VAPE新選擇

隨著電子菸在台灣的普及，電子菸...

Von 2025-08-22 03:10:42 0 2KB

The Disciplinary Reconstruction of Replacing Quantum Materials with Topological Materials Based on Topological Vortex Theory (4)

4. Conclusion and Outlook The concept of "Quantum Materials," due to its ambiguity, may hinder...

Von 2025-10-21 02:41:39 0 892

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...

Von 2025-07-31 14:06:15 0 2KB