Sharp corners as sources of spiral pairs

被引:3
|
作者
Biton, Y. [1 ]
Rabinovitch, A. [1 ]
Braunstein, D. [2 ]
Friedman, M. [3 ]
Aviram, I. [1 ]
机构
[1] Ben Gurion Univ Negev, Dept Phys, IL-84105 Beer Sheva, Israel
[2] Sami Shamoon Coll Engn, Dept Phys, Beer Sheva, Israel
[3] Ben Gurion Univ Negev, Dept Informat Syst Engn, IL-84105 Beer Sheva, Israel
关键词
WAVE-FRONT CURVATURE; ORGANIZATION; PROPAGATION; MECHANISMS; TURBULENCE;
D O I
10.1016/j.physleta.2010.03.045
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
It is demonstrated that using the FitzHugh-Nagumo model, stimulation of excitable media inside a region possessing sharp corners, can lead to the appearance of sources of spiral-pairs of sustained activity. The two conditions for such source creation are: The corners should be less than 120 degrees and the range of stimulating amplitudes should be small, occurring just above the threshold value and decreasing with the corner angle. The basic mechanisms driving the phenomenon are discussed. These include: A. If the corner angle is below 120 degrees, the wave generated inside cannot emerge at the corner tip, resulting in the creation of two free edges which start spiraling towards each other. B. Spiraling must be strong enough: otherwise annihilation of the rotating arms would occur too soon to create a viable source. C. The intricacies of the different radii involved are elucidated. Possible applications in heart stimulation and in chemical reactions are considered. (C) 2010 Elsevier B.V. All rights reserved.
引用
收藏
页码:2248 / 2253
页数:6
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