计算物理 ›› 2023, Vol. 40 ›› Issue (1): 117-126.DOI: 10.19596/j.cnki.1001-246x.8552

• 研究论文 • 上一篇    

传导阻滞和折返效应对螺旋波演化行为的影响

李成乾(), 关富荣, 邓敏艺*()   

  1. 广西师范大学物理科学与技术学院, 广西 桂林 541004
  • 收稿日期:2022-04-28 出版日期:2023-01-25 发布日期:2023-07-04
  • 通讯作者: 邓敏艺
  • 作者简介:

    李成乾(1995-),男,硕士研究生,主要研究方向为激发介质的螺旋波动力学,E-mail:

  • 基金资助:
    国家自然科学基金(12047567)

Effects of Conduction Block and Reentry on Evolution of Spiral Waves

Chengqian LI(), Furong GUAN, Minyi DENG*()   

  1. College of Physical science and Technology, Guangxi Normal University, Guilin, Guangxi 541004, China
  • Received:2022-04-28 Online:2023-01-25 Published:2023-07-04
  • Contact: Minyi DENG

摘要:

采用元胞自动机模型研究传导速度恢复关系导致的传导阻滞与折返效应及其对螺旋波演化行为的影响,发现稳定螺旋波的形状、螺旋波的爱克豪斯失稳及多普勒失稳均与传导阻滞及折返效应有关:稳定螺旋波呈现内凹形是因为系统沿各方向的阻滞程度不同,呈菱形是因为所有元胞沿斜向传导的电信号都被严重阻滞;螺旋波的爱克豪斯失稳源于螺旋波外围存在较强的传导阻滞及因此导致的电信号折返,两者共同作用造成开始于外围的波臂断裂;螺旋波的多普勒失稳产生于出现在波头附近的较强传导阻滞,这种传导阻滞使波头附近的波臂沿某个方向挤压而沿另外方向拉伸,导致开始于波头附近的波臂断裂。本研究从细胞水平和电信号传导角度解释螺旋波不同演化行为的产生原因。

关键词: 传导恢复关系, 传导阻滞, 折返, 螺旋波, 元胞自动机

Abstract:

We study conduction block and reentry induced by conduction velocity restitution, and their effects on the evolution of spiral waves. Simulation shows that the shape of stable spiral waves, Eckhaus instability and Doppler instability of spiral waves are associated with conduction block and reentry. The stable spiral wave exhibits concave or rhombic shape as the conduction block reduces its symmetry. The Eckhaus instability of spiral waves emerges as serious conduction blocks and the accompanying reentry initiated far from the spiral wave tip. In the case that serious conduction blocks begin near the spiral wave tip, the spiral wave meanders, and then the wave arms near the tip compress in one direction but elongate in other direction, which lead to the Doppler instability of spiral waves. This work tries to expound mechanisms of the evolution of spiral waves in the sight of cellular and electrical level.

Key words: conduction velocity restitution, conduction block, reentrant, spiral waves, cellular automata