Wave-particle dualism of spiral waves dynamics
Wave-particle dualism of spiral waves dynamics
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DOI：
10.1103/physreve.67.026221
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发表时间：
2003-02-01
影响因子：
2.4
通讯作者：
Biktashev, VN
中科院分区：
文献类型：
--
作者：
Biktasheva, IV;Biktashev, VN
我们证明并解释了活性介质中螺旋波等经典宏观现象的波粒二元论。这意味着，尽管螺旋波表现为涉及整个介质的非局部过程，但它们对小扰动的反应是有效的局部实体。对偶性表现为非线性场的一种涌现性质，并在数学上用螺旋波响应函数表示，该函数基本上仅在螺旋波核附近为非零。响应函数的知识允许定量准确的预测螺旋波漂移由于任何性质的小扰动，这使得它们作为螺旋波的基本特征，因为质量是凝聚态物质。
We demonstrate and explain a wave-particle dualism of such classical macroscopic phenomena as spiral waves in active media. That means although spiral waves appear as nonlocal processes involving the whole medium, they respond to small perturbations as effectively localized entities. The dualism appears as an emergent property of a nonlinear field and is mathematically expressed in terms of the spiral waves response functions, which are essentially nonzero only in the vicinity of the spiral wave core. Knowledge of the response functions allows quantitatively accurate prediction of the spiral wave drift due to small perturbations of any nature, which makes them as fundamental characteristics for spiral waves as mass is for the condensed matter.