摘要The mechanism of scroll wave turbulence is investigated in excitable media with rotational anisotropy. We adopt the Barkley model with heterogeneity in the diffusion constants. Through comparative numerical studies, we demonstrate the vortex turbulence results from the rotational anisotropy's cooperation with negative filament tension or competition with positive filament tension. The presence of rotational anisotropy can enlarge the parameter region leading to negative-tension induced wave turbulence in isotropic media.
Abstract:The mechanism of scroll wave turbulence is investigated in excitable media with rotational anisotropy. We adopt the Barkley model with heterogeneity in the diffusion constants. Through comparative numerical studies, we demonstrate the vortex turbulence results from the rotational anisotropy's cooperation with negative filament tension or competition with positive filament tension. The presence of rotational anisotropy can enlarge the parameter region leading to negative-tension induced wave turbulence in isotropic media.
JIANG Mi;MA Ping. Vortex Turbulence due to the Interplay of Filament Tension and Rotational Anisotropy[J]. 中国物理快报, 2009, 26(7): 74703-074703.
JIANG Mi, MA Ping. Vortex Turbulence due to the Interplay of Filament Tension and Rotational Anisotropy. Chin. Phys. Lett., 2009, 26(7): 74703-074703.
[1] Luengviriya C, Storb U, Lindner G, Muller S C, Bar M andHauser M J B 2008 Phys. Rev. Lett. 100 148302 [2] Witkowski F X, Leon L J, Penkoske P A, Giles W R, Spano ML, Ditto W L and Winfree A T 1998 Nature 392 78 [3] Tusscher T and Panfilov A V 2004 Phys. Rev. Lett. 93 108106 [4] Wellner M, Berenfeld O, Jalife J and Pertsov A M 2002 Proc. Natl. Acad. Sci. U.S.A. 99 8015 [5] Verschelde H, Dierckx H and Bernus O 2007 Phys. Rev.Lett. 99 168104 [6] Thomas T 1957 Am. J. Anat. 101 17 [7] Nielsen P, Grice I L and Smaill B 1991 Am. J.Physiol. 260 H1365 [8] Peskin C 1989 Commun. Pure Appl. Math. 42 79 [9] Hwang S, Kim T Y and Lee K J 2005 Proc. Natl. Acad.Sci. U.S.A. 102 10363 [10] Arevalo H, Rodriguez B and Trayanova N 2007 Chaos 17 015103 [11] Mackenzie D 2004 Science. 303 786 [12] Fenton F and Karma A 1998 Chaos 8 20 Fenton F and Karma A 1998 Phys. Rev. Lett. 81481 [13] Biktashev V N, Holden A V, Zhang H 1994 Phil. Trans.R. Soc. London A 347 611 [14] Alonso S, Sagues F, Mikhailov A S 2003 Science 299 1722 Alonso S, Sagues F, Mikhailov A S 2004 Phys. Rev. E 70 056201 Alonso S, Sagues F, Mikhailov A S 2006 Chaos 16023124 [15] Zhang H, Cao Z, Wu N J, Ying H P and Hu G 2005 Phys.Rev. Lett. 94 188301 [16] Wellner M, Berenfeld O and Pertsov A M 2000 Phys.Rev. E 61 1845 [17] Panfilov A V and Keener J P 1995 Physica D 84545 [18] Rappel W J 2001 Chaos 11 71 [19] Henry H and Hakim V 2000 Phys. Rev. Lett. 85255328 [20] Aranson I and Mitkov I 1998 Phys. Rev. E 584556 [21] Barkley D, Kness M and Tuckerman L S 1990 Phys.Rev. A 42 2489 [22] Alonso S and Panfilov A V 2008 Phys. Rev. Lett. 100 218101