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

Blogs Literature
Posté 2025-10-20 05:37:44
0
51

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.

Connectez-vous pour aimer, partager et commenter!
Rechercher
Catégories
Lire la suite
Shopping
Travis Scott聯名鞋：引領潮流的街頭ICON
Travis Scott與Nike的聯名系列以其大膽設計與文化影響力，席捲全球球鞋市場，成為街頭時尚的代名詞。從aj1 travis scott到travis scott air force...
Par Abv 134 2025-08-18 06:08:22 0 1KB
Party
Press-on Nails
A Must-Have for Young Fashionable Women. Created specifically for fashionable women to match...
Par Jiahui Wu 2025-10-15 05:48:26 1 208
Religion
巴黎世家官網購物指南｜經典包款與機車包全解析
說到高端時尚品牌，巴黎世家（Balenciaga） 絕對是近年來在年輕消費者間最具討論度的名字之一。從服飾、鞋款到配件，巴黎世家都展現出前衛且獨特的設計風格。其中，最受歡迎的單品莫過於...
Par ADA ADAD 2025-09-19 02:35:32 0 764
Shopping
Kobe球鞋經典重現：Nike Kobe系列全面解析
在籃球場上，Kobe Bryant 的傳奇影響力不僅來自他無可挑剔的技術與精神，更延伸至鞋款文化。kobe 球鞋系列由 Nike...
Par Abv 134 2025-09-02 05:53:09 0 1KB
Shopping
科技與品味並存：全面解析SP2S電子煙的使用魅力
隨著電子 菸市場在台灣逐漸成熟，越來越多用戶開始關注產品的品質、口感與安全性。其中，SP2S電子煙憑藉其優異的產品設計與使用體驗，在眾多品牌中脫穎而出，成為許多電子煙愛好者的首選。SP2S...
Par Joe Zhou 2025-06-18 01:58:00 1 2KB
© 2025 Facebook French
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
Environ Conditions générale de vente Confidentialité Contactez nous Annuaire