Rotational and Translational Characteristics of Topological...

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

Blogs Literature

Δημοσιευμένα 2025-10-20 05:22:38

834

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.

Παρακαλούμε συνδέσου στην Κοινότητά μας για να δηλώσεις τι σου αρέσει, να σχολιάσεις και να μοιραστείς με τους φίλους σου!

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...

από 2025-06-16 02:30:58 2 3χλμ.

On the Feasibility of Monitoring Crustal Deformation Using a High-Precision Gyroscopes and Sundial Network Based on Topological Vortex Theory (TVT)

III. Challenges and Validation Requirements 3.1 Data Noise Filtering: Crustal deformation...

από 2025-10-14 01:31:16 0 966

ประสบการณ์ใหม่ด้วยเครื่อง relx รุ่น 6 และหัวน้ำยาคุณภาพสูง

เยว่เค่อ ถือเป็นบริษัทเทคโนโลยีชั้นนำที่เชี่ยวชาญด้านการวิจัยและพัฒนาบุหรี่ไฟฟ้ามายาวนาน...

από 2025-08-29 03:20:04 0 2χλμ.

รีวิวสินค้า RELX และหัวพอตยอดนิยมสำหรับสายสูบยุคใหม่

ในปัจจุบันอุปกรณ์ relx บุหรี่ไฟฟ้า...

από 2025-11-17 01:50:17 0 484

Press-on Nails

A Must-Have for Young Fashionable Women. Created specifically for fashionable women to match...

από 2025-10-15 05:48:26 1 969