Paul Shibashis, Ghosh Shyamolina, Ray Deb Shankar
Indian Association for the Cultivation of Science, Jadavpur, Kolkata-700032, India.
Phys Rev E. 2016 Dec;94(6-1):062217. doi: 10.1103/PhysRevE.94.062217. Epub 2016 Dec 23.
We consider a generic reaction-diffusion-advection system where the flow velocity of the advection term is subjected to dichotomous noise with zero mean and Ornstein-Zernike correlation. A general condition for noisy-flow-induced instability is derived in the flow velocity-correlation rate parameter plane. Full numerical simulations on Gierer-Meinhardt model with activator-inhibitor kinetics have been performed to show how noisy differential flow can lead to symmetry breaking of a homogeneous stable state in the presence of noise resulting in traveling waves.
我们考虑一个一般的反应-扩散-平流系统，其中平流项的流速受到均值为零且具有奥恩斯坦-泽尔尼克相关性的二分噪声影响。在流速-相关速率参数平面中推导了噪声流诱导不稳定性的一般条件。已对具有激活剂-抑制剂动力学的吉勒尔-迈因哈特模型进行了全面的数值模拟，以展示在存在噪声导致行波的情况下，有噪声的微分流如何导致均匀稳定状态的对称性破缺。
