Wang Hongli, Ouyang Qi
Department of Physics and State Key Laboratory for Mesoscopic Physics, Peking University, Beijing 100871, People's Republic of China.
Chaos. 2005 Jun;15(2):23702. doi: 10.1063/1.1886305.
The influence of noise on defect chaos due to breakup of spiral waves through Doppler and Eckhaus instabilities is investigated numerically with a modified Fitzhugh-Nagumo model. By numerical simulations we show that the noise can drastically enhance the creation and annihilation rates of topological defects. The noise-free probability distribution function for defects in this model is found not to fit with the previously reported squared-Poisson distribution. Under the influence of noise, the distributions are flattened, and can fit with the squared-Poisson or the modified-Poisson distribution. The defect lifetime and diffusive property of defects under the influence of noise are also checked in this model.
利用修正的Fitzhugh-Nagumo模型，通过数值方法研究了噪声对因螺旋波通过多普勒和埃克豪斯不稳定性破裂而产生的缺陷混沌的影响。通过数值模拟，我们表明噪声可以显著提高拓扑缺陷的产生和湮灭速率。发现该模型中缺陷的无噪声概率分布函数与先前报道的平方泊松分布不相符。在噪声影响下，分布变得平坦，并且可以与平方泊松分布或修正泊松分布相拟合。在该模型中还检查了噪声影响下缺陷的寿命和扩散特性。
