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

799

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!

This practical backpack features a multi-bag design and is a great companion for outdoor trips

It adopts a multi-zipper pocket design. The main pocket has ample space, and there is also a...

By 2025-09-30 07:59:03 0 1K

On the Topological Nature of Noether's Theorem (1)

Abstract Noether's theorem, a cornerstone of modern physics, profoundly reveals the equivalence...

By 2025-11-27 01:17:43 0 637

Competitive Landscape in the Transplant Diagnostics Market: Innovations, Key Players, and Strategic Moves

The global transplant diagnostics market size was USD 4.01 Billion in 2022 and is expected to...

By 2025-08-26 11:11:45 0 2K

KVM Switch Market Share: Trends, Growth Drivers, and Future Outlook

The KVM Switch Market Share is witnessing significant growth as businesses and IT infrastructures...

By 2025-10-15 10:26:00 1 1K

Multi-Model Fully Automatic Sleeve-Type Combined Cup Paper Sheet Wrapping Machine

Multi-Model Fully Automatic Sleeve-Type Combined Cup Paper Sheet Wrapping Machine Click to...

By 2025-06-16 02:30:58 2 3K