Effect of noise on chemical waves in three-dimensional reaction-diffusion systems with gradient.
The effect of noise on chemical waves in a quasi-three-dimensional reaction-diffusion medium with a gradient in the third dimension is studied using the FitzHugh-Nagumo model [R. FitzHugh, Biophysics J. 1, 445 (1961)]. Numerical simulations reveal that noise of appropriate intensity can postpone the onset of turbulence and stabilize the three-dimensional (3D) waves which would otherwise undergo the gradient-induced collapse. It is also found that the 3D waves can be interrupted by incident irregularities when the noise is not too strong; it can be induced into complete turbulence when the noise is strong enough. A mathematical analysis is given based on the dependence of the oscillation frequency on the control parameter. It agrees qualitatively with our numerical findings.
Lu
Xiaochuan
X
Department of Physics, Peking University, Beijing, PR China.
Wang
Chunyan
C
Qiao
Chun
C
Wu
Yabi
Y
Ouyang
Qi
Q
Wang
Hongli
H
D055598:Chemical Phenomena; D002627:Chemistry, Physical; D003198:Computer Simulation; D004058:Diffusion; D008433:Mathematics; D008962:Models, Theoretical; D009622:Noise / Q000009:adverse effects*; D009991:Oscillometry