Rotational and Translational Characteristics of Topological...

가입

로그인

회원가입

검색

테마 스위처

다크모드

Rotational and Translational Characteristics of Topological Vortices and Antivortices Based on Perspectives from Loops and Knots (3)

블로그 Literature

게시됨 2025-10-20 05:22:38

45

3. Translational Characteristics of Topological Vortices and Antivortices

3.1 Translational Motion and Description via Knot Theory

The translational motion of vortices and antivortices can be effectively described by knot theory. This theory focuses on the continuous deformation of vortex trajectories in spacetime, where translational motion corresponds to the overall propagation of these trajectories. Using the optical vortex ring as an example, the translational characteristics of its trajectory can be characterized by the kinking number. Changes in the kinking number reflect the strength of interaction between vortex-antivortex pairs: pairs translating in the same direction tend to form stable knotted structures, while pairs translating in opposite directions may lose stability or even annihilate due to trajectory crossing.

3.2 Coupling Mechanism between Translation and Rotation

There is a significant coupling effect between the translational and rotational behaviors of vortices and antivortices. For instance, in quantum condensed matter systems, the translational velocity of a vortex-antivortex pair is often closely related to its rotational angular velocity. Such coupling behavior can be described by topological dynamical models, where translational motion can be driven by the angular velocity gradient, and changes in rotational motion are fed back through the kinking number. This coupling mechanism can induce a wealth of dynamical phenomena, such as the formation of complex topological structures like Möbius strips.

좋아요, 공유, 댓글을 달려면 로그인이 필요해요!

News!

Big news! I am on Bilibili! Go to Bilibili and watch my Animation! Account:OKanimation

작성자 2025-10-01 06:47:15 0 628

想在泰国罗勇找公司

想在罗勇找一家可以代理注册公司的公司，如果你的公司有此业务，欢迎留下联系方式！

작성자 2025-09-06 08:34:41 0 1K

DIYA電子煙與SHAXIAO殺小主機全面解析

...

작성자 2025-09-19 02:33:53 0 828

过滤技术在汽车制造中的关键作用

过滤技术在汽车制造中的关键作用...

작성자 2025-06-30 07:47:06 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...

작성자 2025-10-15 10:26:00 1 234