Rotational and Translational Characteristics of Topological Vortices and Antivortices Based on Perspectives from Loops and Knots (5)

Blogs Literature
Posted 2025-10-20 05:37:44
0
753

5. Conclusion

Based on Topological Vortex Theory, this paper systematically studied the characteristic features of vortices and antivortices in rotational and translational motion, and thoroughly explored their intrinsic relationships with topological structures such as loops and knots. The research shows that differences in the rotational direction of vortices and antivortices can induce rich topological phase transition behaviors, while their translational characteristics can reveal propagation patterns through knot theory. Loops and knots, as important topological invariants, provide key theoretical tools for analyzing the dynamical behaviors of vortex-antivortex pairs. These results not only deepen the theoretical understanding of topological defect dynamics but also lay a theoretical foundation for applied research in related fields such as optical vortices and quantum condensed matter physics.

References

  1. Congy, T., Azam, P., Kaiser, R., & Pavloff, N. (2024). Topological Constraints on the Dynamics of Vortex Formation in a Two-Dimensional Quantum Fluid. Physical Review Letters, *132*, 033804. https://doi.org/10.1103/physrevlett.132.033804.
  2. Zhong, J., & Zhan, Q. (2023). Optical toroidal vortices under topological perspective. Physics, *52*(10), 673-681. (Note: This is a citation for the Chinese journal (Wuli)). An English version of the article is available at: https://www.thepaper.cn/newsDetail_forward_25544446.
  3. Bai, W. (2021). Research on Knot Dynamics in Bose-Einstein Condensates (Doctoral dissertation, Northwest University). https://wf.pub/thesis/article:D02560789.
  4. Zhu, R., Zheng, S., Li, X., Wang, T., Tan, C., Yu, T., Liu, Z., Wang, X., Li, J., Wang, J., & Gao, P. (2024). Atomic-Scale Tracking Topological Phase Transition Dynamics of Polar Vortex-Antivortex Pairs. Advanced Materials, 2312072. https://doi.org/10.1002/adma.202312072.
  5. Jing Wang, Rongzhen Gao, Shiyu Tang, Shouzhe Dong, etc. (2025). General principle of ferroelectric topological domain formation. Science Advances, *11*(7). https://www.science.org/doi/10.1126/sciadv.adu6223.

Academic Statement

Certain analyses and discussions in this paper have referenced and drawn upon recent cutting-edge research published in journals such as Physical Review Letters, Science Advances, and Advanced Materials, including but not limited to topological constraints on vortex-antivortex pairs in quantum fluids, the generation and characterization of optical vortex rings, and knot dynamics in Bose-Einstein condensates. The authors hereby express gratitude to the researchers and teams behind these works. This paper is intended for international academic exchange. Reproduction without permission is prohibited.

Please log in to like, share and comment!
Buscar
Categorías
Read More
Literature
A Concept for Perpetual Electric Body Based on Topological Vortex Theory Integrating Permanent Magnets and Radioactive Elements (4)
5. Discussion and Prospect Despite the significant challenges, the value of this concept lies in...
By Bao-hua ZHANG 2025-10-27 06:06:01 0 786
Networking
The Rising Dominance of Internet Radio Market Share: Shaping the Future of Digital Audio Entertainment
The global Internet Radio Market Share is witnessing significant expansion, driven...
By Kajal Jadhav 2025-10-15 09:51:52 0 812
Shopping
奢華保養新標竿：創世紀原晶逆時金萃揭開肌膚年輕密碼
在追求極致抗老與肌膚修護的保養旅程中，創世紀原晶逆時金萃無疑成為眾多保養迷眼中的夢幻逸品。這款來自海洋奢華護膚權威 La Mer 的頂級精華，以珍稀原晶活萃為核心成分，搭配品牌靈魂成分...
By Lin Maa 2025-05-29 01:52:18 0 2K
Shopping
佛山星驰光电科技有限公司
汽车LED大灯，生产工厂
By 佛山星驰光电科技有限公司 2025-06-15 05:10:04 0 3K
Home
山东建筑大学机电工程学院“讴歌美丽 建功乡村”团队 赴高密市开展社会实践活动
  山东建筑大学机电工程学院“讴歌美丽 建功乡村”团队 赴高密市咸家社区工业园、夏庄镇开展社会实践活动...
By 侯 毛毛 2025-07-17 15:46:43 0 2K
© 2025 Facebook Spanish
English Arabic French Spanish Portuguese Deutsch Turkish Dutch Italiano Russian Romaian Portuguese (Brazil) Greek 简体中文 日本語 한국어 繁体中文
About Términos Privacidad Contact Us Directorio