title: Effect of noise on defect chaos in a reaction-diffusion model.
abstract: 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.
authors.affiliation: Department of Physics and State Key Laboratory for Mesoscopic Physics, Peking University, Beijing 100871, People's Republic of China.
authors.forename: Hongli
authors.initials: H
authors.lastname: Wang
authors.forename: Qi
authors.initials: Q
authors.lastname: Ouyang
mesh_terms: D016477:Artifacts; D003198:Computer Simulation; D004058:Diffusion; D008390:Markov Chains; D015233:Models, Statistical; D008962:Models, Theoretical; D017711:Nonlinear Dynamics; D016011:Normal Distribution; D009991:Oscillometry; D010825:Physics / Q000379:methods*; D016012:Poisson Distribution; D015203:Reproducibility of Results; D012984:Software; D013997:Time Factors