Unpinning the spiral waves by using parameter waves

doi:10.1088/1674-1056/abd46e

中国物理B ›› 2021, Vol. 30 ›› Issue (5): 58202-058202.doi: 10.1088/1674-1056/abd46e

Unpinning the spiral waves by using parameter waves

Lu Peng(彭璐) and Jun Tang(唐军)^†

School of Materials and Physics, China University of Mining and Technology, Xuzhou 221116, China

收稿日期:2020-10-07 修回日期:2020-11-10 接受日期:2020-12-17 出版日期:2021-05-14 发布日期:2021-05-14
通讯作者: Jun Tang E-mail:tjuns1979@126.com
基金资助:
Project supported by the Fundamental Research Funds for the Central Universities of China (Grant No. 2020ZDPYMS33(JT)).

Unpinning the spiral waves by using parameter waves

Lu Peng(彭璐) and Jun Tang(唐军)^†

School of Materials and Physics, China University of Mining and Technology, Xuzhou 221116, China

Received:2020-10-07 Revised:2020-11-10 Accepted:2020-12-17 Online:2021-05-14 Published:2021-05-14
Contact: Jun Tang E-mail:tjuns1979@126.com
Supported by:
Project supported by the Fundamental Research Funds for the Central Universities of China (Grant No. 2020ZDPYMS33(JT)).

摘要/Abstract

摘要： The spiral waves anchored to heterogeneous areas are more difficult to control and eliminate than freely rotating ones in homogenous mediums. To eliminate pinned spiral waves, the resistant force should be provided to resist the pinning force. Other than advection field, we introduce parametric wave to play the role of providing resistant force. It is found that the parametric wave with large enough amplitude and proper frequency can unpin and eliminate the spiral wave successfully. The capability of parametric wave in providing resistant force is dependent on its amplitude and frequency sensitively. On the basis of parametric wave, the dependence of pinning force on the size and level of heterogeneity is further confirmed.

关键词: pinned spiral wave, heterogeneity, pinning force

Abstract: The spiral waves anchored to heterogeneous areas are more difficult to control and eliminate than freely rotating ones in homogenous mediums. To eliminate pinned spiral waves, the resistant force should be provided to resist the pinning force. Other than advection field, we introduce parametric wave to play the role of providing resistant force. It is found that the parametric wave with large enough amplitude and proper frequency can unpin and eliminate the spiral wave successfully. The capability of parametric wave in providing resistant force is dependent on its amplitude and frequency sensitively. On the basis of parametric wave, the dependence of pinning force on the size and level of heterogeneity is further confirmed.

Key words: pinned spiral wave, heterogeneity, pinning force

中图分类号: (Pattern formation in reactions with diffusion, flow and heat transfer)

82.40.Ck

05.65.+b (Self-organized systems) 89.75.Kd (Patterns)

Lu Peng(彭璐) and Jun Tang(唐军). Unpinning the spiral waves by using parameter waves[J]. 中国物理B, 2021, 30(5): 58202-058202.

Lu Peng(彭璐) and Jun Tang(唐军). Unpinning the spiral waves by using parameter waves[J]. Chin. Phys. B, 2021, 30(5): 58202-058202.

参考文献

[1] Roxin A, Riecke H and Solla S A 2004 Phys. Rev. Lett. 92 198101
[2] Sinha S, Saramäki J and Kaski K 2007 Phys. Rev. E 76 015101
[3] Qian Y, Zhang C, Wei Z, Liu F, Yao C and Zheng Z 2020 Europhys. Lett. 131 38002
[4] Qian Y, Zhang G, Wang Y, Yao C and Zheng Z 2019 Chaos 29 073106
[5] Lechleiter J, Girard S, Peralta E and Clapham D 1991 Science 252 123
[6] Lipp P and Niggli E 1993 Biophys. J. 65 2272
[7] Falcke M, Bär M, Lechleiter J D and Hudson J L 1999 Physica D 129 236
[8] Tang J, Yang L J, Ma J and Jia Y 2009 Eur. Biophys. J. 38 1061
[9] Tang J, Ma J, Yi M and Jia Y 2008 Chin. Phys. B 17 4100
[10] Keener J P and Tyson J J 1986 Physica D 31 307
[11] Li G, Ouyang Q, Petrov V and Swinney H L 1996 Phys. Rev. Lett. 77 2105
[12] Ji L, Zhou Y, Li Q, Qiao C and Ouyang Q 2013 Phys. Rev. E 88 042919
[13] Chen J X, Zhang H and Li Y Q 2006 J. Chem. Phys. 124 014505
[14] Li T C, Gao X, Zheng F F, Pan D B, Zheng B and Zhang H 2017 Sci. Rep. 7 8657
[15] Weiss J N, Chen P S, Qu Z, Karagueuzian H S and Garfinkel A 2000 Circ. Res. 87 1103
[16] Shajahan T K, Sinha S and Pandit R 2007 Phys. Rev. E 75 011929
[17] Shajahan T K, Nayak A R and Pandit R 2009 PLoS ONE 4 e4738
[18] Stamp A T, Osipov G V and Collins J J 2002 Chaos 12 931
[19] Cysyk J and Tung L 2008 Biophys. J. 94 1533
[20] Tang J, Yi M, Chen P, Luo J, Ma J and Xia H 2012 Europhys. Lett. 97 28003
[21] Weiss J N, Qu Z, Chen P S, Lin S F, Karagueuzian H S, Hayashi H, Garfinkel A and Karma A 2005 Circulation 112 1232
[22] Pertsov A M, Davidenko J M, Salomonsz R, Baxter W T and Jalife J 1993 Circ. Res. 72 631
[23] Weiss J N, Garfinkel A, Karagueuzian H S, Qu Z and Chen P S 1999 Circulation 99 2819
[24] Panfilov A V 1998 Chaos 8 57
[25] Falcke M, Or-Guil M and Bär M 2000 Phys. Rev. Lett. 84 4753
[26] Pazo D, Kramer L, Pumir A, Kanani S, Efimov I and Krinsky V 2004 Phys. Rev. Lett. 93 168303
[27] Biktashev V N, Barkley D and Biktasheva I V 2010 Phys. Rev. Lett. 104 058302
[28] Zemlin C W and Pertsov A M 2012 Phys. Rev. Lett. 109 038303
[29] Bittihn P, Squires A, Luther G, Bodenschatz E, Krinsky V, Parlitz U and Luther S 2010 Philos. Trans. R. Soc. A 368 2221
[30] Pumir A, Sinha S, Sridhar S, Argentina M, Hörning M, Filippi S, Cherubini C, Luther S and Krinsky V 2010 Phys. Rev. E 81 010901
[31] Cherubini C, Filippi S and Gizzi A 2012 Phys. Rev. E 85 031915
[32] Liu T B, Ma J, Zhao Q and Tang J 2013 Europhys. Lett. 104 58005
[33] Deng Y, Liu B Y, Wu T, Shangguan Y Y, Ma J and Tang J 2017 Europhys. Lett. 119 58002
[34] Barkley D 1994 Phys. Rev. Lett. 72 164
[35] Zhang J, Tang J, Ma J, Luo J M and Yang X Q 2018 Physica A 491 340

Unpinning the spiral waves by using parameter waves

Unpinning the spiral waves by using parameter waves

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