Mutual annihilation of counter-rotating spiral waves induced by electric fields

doi:10.1088/1674-1056/ae0561

中国物理B ›› 2025, Vol. 34 ›› Issue (12): 120505-120505.doi: 10.1088/1674-1056/ae0561

Mutual annihilation of counter-rotating spiral waves induced by electric fields

Ying-Qi Liu(刘瑛琦), Yi-Peng Hu(胡义鹏), Qian-Ming Ding(丁钱铭), Ying Xie(谢盈), and Ya Jia(贾亚)^†

Department of Physics, Central China Normal University, Wuhan 430079, China

收稿日期:2025-07-05 修回日期:2025-09-10 接受日期:2025-09-10 发布日期:2025-12-04
通讯作者: Ya Jia E-mail:jiay@ccnu.edu.cn
基金资助:
This work was supported by the National Natural Science Foundation of China (Grant No. 12175080) and by SelfDetermined Research Funds of Central China Normal University from the Colleges’ Basic Research and Operation of MOE (Grant No. CCNU25JC012).

Mutual annihilation of counter-rotating spiral waves induced by electric fields

Ying-Qi Liu(刘瑛琦), Yi-Peng Hu(胡义鹏), Qian-Ming Ding(丁钱铭), Ying Xie(谢盈), and Ya Jia(贾亚)^†

Department of Physics, Central China Normal University, Wuhan 430079, China

Received:2025-07-05 Revised:2025-09-10 Accepted:2025-09-10 Published:2025-12-04
Contact: Ya Jia E-mail:jiay@ccnu.edu.cn
Supported by:
This work was supported by the National Natural Science Foundation of China (Grant No. 12175080) and by SelfDetermined Research Funds of Central China Normal University from the Colleges’ Basic Research and Operation of MOE (Grant No. CCNU25JC012).

摘要/Abstract

摘要： Spiral waves, as a typical self-organized structure with chiral characteristics, are widely found in excitable media such as cardiac tissues, chemical reactions, and neural networks. Based on the FitzHugh-Nagumo model, we investigated the mechanisms underlying the effects of direct current electric fields (DCEF), alternating current electric fields (ACEF), and polarized electric fields (PEF) on the interaction and annihilation processes of counter-rotating spiral waves. We found that in a direct current electric field, the drift direction of the spiral wave is determined jointly by its chirality and the electric field direction, which allows selective attraction or repulsion. In an alternating current electric field, the annihilation behavior of spiral waves can be influenced by the phase and intensity of the electric field, where a specific range of parameters induces resonance drift and eventual annihilation. On the other hand, the polarized electric field exhibits a more complex modulation capability on spiral waves: the trajectory and annihilation efficiency of spiral waves can be regulated by both the intensity and phase of the polarized electric field. These results reveal the potential feasibility of regulating multichiral spiral waves through multiple electric fields, providing theoretical insight for the control of spiral waves in relevant systems.

关键词: spiral waves, electric fields, chirality

Abstract: Spiral waves, as a typical self-organized structure with chiral characteristics, are widely found in excitable media such as cardiac tissues, chemical reactions, and neural networks. Based on the FitzHugh-Nagumo model, we investigated the mechanisms underlying the effects of direct current electric fields (DCEF), alternating current electric fields (ACEF), and polarized electric fields (PEF) on the interaction and annihilation processes of counter-rotating spiral waves. We found that in a direct current electric field, the drift direction of the spiral wave is determined jointly by its chirality and the electric field direction, which allows selective attraction or repulsion. In an alternating current electric field, the annihilation behavior of spiral waves can be influenced by the phase and intensity of the electric field, where a specific range of parameters induces resonance drift and eventual annihilation. On the other hand, the polarized electric field exhibits a more complex modulation capability on spiral waves: the trajectory and annihilation efficiency of spiral waves can be regulated by both the intensity and phase of the polarized electric field. These results reveal the potential feasibility of regulating multichiral spiral waves through multiple electric fields, providing theoretical insight for the control of spiral waves in relevant systems.

Key words: spiral waves, electric fields, chirality

中图分类号: (Self-organized systems)

05.65.+b

47.54.-r (Pattern selection; pattern formation)

Ying-Qi Liu(刘瑛琦), Yi-Peng Hu(胡义鹏), Qian-Ming Ding(丁钱铭), Ying Xie(谢盈), and Ya Jia(贾亚). Mutual annihilation of counter-rotating spiral waves induced by electric fields[J]. 中国物理B, 2025, 34(12): 120505-120505.

Ying-Qi Liu(刘瑛琦), Yi-Peng Hu(胡义鹏), Qian-Ming Ding(丁钱铭), Ying Xie(谢盈), and Ya Jia(贾亚). Mutual annihilation of counter-rotating spiral waves induced by electric fields[J]. Chin. Phys. B, 2025, 34(12): 120505-120505.

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Mutual annihilation of counter-rotating spiral waves induced by electric fields

Mutual annihilation of counter-rotating spiral waves induced by electric fields

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