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The instability of the spiral wave in an excitable medium is investigated by using the lattice Boltzmann method. The velocity distribution of the system are obtained by computer simulation, and discussed in connection with the pattern and the tip trajectory of the spiral wave. We find that the velocity of the particle at the rotating center of spiral wave changes periodically, while the change of this particles velocity is quickened and then becomes random when the spiral wave becomes unstable, which leads to the random decomposition of the velocity group and random distribution of velocity. The system falls into the spatiotemporal chaos finally.
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Keywords:
- lattice Boltzmann method /
- excitable medium /
- spiral wave /
- spatiotemporal chaos
[1] ［1］Zhang H, Hu B, Hu G 2003 Phys. Rev. E 68 026134
[2] ［2］Wu Y B, Qiao C, Ouyang Q, Wang H L 2008 Phys. Rev. E 77 036226
[3] ［3］Ouyang Q 2001 Physics 30 30 （in Chinese）［欧阳颀 2001 物理 30 30］
[4] ［4］Yang J Z, Xie F G, Qu Z L, Garfinkel A 2003 Phys. Rev. Lett. 91 148302
[5] ［5］Dai Y, Tang G N 2009 Acta Phys. Sin. 58 1491 (in Chinese）［戴瑜、唐国宁 2009 物理学报 58 1491］
[6] ［6］Zhao Y K, Wang G R， Chen S G 2007 Chin. Phys. 16 1159
[7] ［7］Gan Z N, Ma J, Zhang G Y, Chen Y 2008 Chin. Phys. B 17 4047
[8] ［8］Qian Y H, DHumiéres D, Lallemand P 1992 Euro. Phys. Lett. 17 479
[9] ［9］Chen S Y, Chen H D, Martnez D, Matthaeus W 1991 Phys. Rev. Lett. 67 3776
[10] ］Kang X Y, Ji Y B, Zhang H H, Liu D H, Jin Y J 2007 J. Beijing Norm. Univ. (Nat. Sci. ) 48 508 (in Chinese）［康秀英、吉玉嫔、张焕焕、刘大禾、金永娟 2007 北京师范大学学报（自然科学版） 48 508］
[11] ］Li H B, Fang H P, Lin Z F, Xu S X, Chen S Y 2004 Phys. Rev. E 69 031919
[12] ］Li Q, Zheng C G, Wang N C 2001 Comm. Nonl. Sci. Num. Simu. 6 68
[13] ］Yi H H, Yang X F, Wang C F, Li H B 2009 Chin. Phys. B 18 2878
[14] ］Kang X Y, Ji Y P, Liu D H, Jin Y J 2008 Chin. Phys. B 17 1041
[15] ］Deng M Y, Shi J, Li H B, Kong L J, Liu M R 2007 Acta Phys. Sin. 56 168(in Chinese）［邓敏艺、施娟、李华兵、孔令江、刘慕仁 2007 物理学报 56 168］
[16] ］Deng M Y, Shi Juan, Chen R X, Kong L J, Liu M R 2007 Coummun. Theor. Phys. 48 725
[17] ］Dutt A K 2005 J. Phys. Chem. B 109 17679
[18] ］Deng M Y, Shi Juan, Li H B, Kong L J, Liu M R 2007 J. 2 GuangXi Norm. Univ. (Nat. Sci. ) 25 10 (in Chinese）［邓敏艺、施娟、李华兵、孔令江、刘慕仁 2007 广西师范大学学报 (自然科学版) 25 10］
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[1] ［1］Zhang H, Hu B, Hu G 2003 Phys. Rev. E 68 026134
[2] ［2］Wu Y B, Qiao C, Ouyang Q, Wang H L 2008 Phys. Rev. E 77 036226
[3] ［3］Ouyang Q 2001 Physics 30 30 （in Chinese）［欧阳颀 2001 物理 30 30］
[4] ［4］Yang J Z, Xie F G, Qu Z L, Garfinkel A 2003 Phys. Rev. Lett. 91 148302
[5] ［5］Dai Y, Tang G N 2009 Acta Phys. Sin. 58 1491 (in Chinese）［戴瑜、唐国宁 2009 物理学报 58 1491］
[6] ［6］Zhao Y K, Wang G R， Chen S G 2007 Chin. Phys. 16 1159
[7] ［7］Gan Z N, Ma J, Zhang G Y, Chen Y 2008 Chin. Phys. B 17 4047
[8] ［8］Qian Y H, DHumiéres D, Lallemand P 1992 Euro. Phys. Lett. 17 479
[9] ［9］Chen S Y, Chen H D, Martnez D, Matthaeus W 1991 Phys. Rev. Lett. 67 3776
[10] ］Kang X Y, Ji Y B, Zhang H H, Liu D H, Jin Y J 2007 J. Beijing Norm. Univ. (Nat. Sci. ) 48 508 (in Chinese）［康秀英、吉玉嫔、张焕焕、刘大禾、金永娟 2007 北京师范大学学报（自然科学版） 48 508］
[11] ］Li H B, Fang H P, Lin Z F, Xu S X, Chen S Y 2004 Phys. Rev. E 69 031919
[12] ］Li Q, Zheng C G, Wang N C 2001 Comm. Nonl. Sci. Num. Simu. 6 68
[13] ］Yi H H, Yang X F, Wang C F, Li H B 2009 Chin. Phys. B 18 2878
[14] ］Kang X Y, Ji Y P, Liu D H, Jin Y J 2008 Chin. Phys. B 17 1041
[15] ］Deng M Y, Shi J, Li H B, Kong L J, Liu M R 2007 Acta Phys. Sin. 56 168(in Chinese）［邓敏艺、施娟、李华兵、孔令江、刘慕仁 2007 物理学报 56 168］
[16] ］Deng M Y, Shi Juan, Chen R X, Kong L J, Liu M R 2007 Coummun. Theor. Phys. 48 725
[17] ］Dutt A K 2005 J. Phys. Chem. B 109 17679
[18] ］Deng M Y, Shi Juan, Li H B, Kong L J, Liu M R 2007 J. 2 GuangXi Norm. Univ. (Nat. Sci. ) 25 10 (in Chinese）［邓敏艺、施娟、李华兵、孔令江、刘慕仁 2007 广西师范大学学报 (自然科学版) 25 10］
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