Centre for Nonlinear Chemistry, Immanuel Kant Baltic Federal University, Kaliningrad, 236041, Russia.
Phys Chem Chem Phys. 2018 Jun 13;20(23):16126-16137. doi: 10.1039/c8cp02283f.
We have investigated the effect of global negative feedback (GNF) on the dynamics of a 1D array of water microdroplets (MDs) filled with the reagents of the photosensitive oscillatory Belousov-Zhabotinsky (BZ) reaction. GNF is established by homogeneous illumination of the 1D array with the light intensity proportional to the number of BZ droplets in the oxidized state with the coefficient of proportionality ge. MDs are immersed in the continuous oil phase and diffusively coupled with the neighboring droplets via inhibitor Br2 which is soluble in the oil phase. At chosen concentrations of the BZ reactants, illumination suppresses the BZ oscillators. Without GNF, or at a very small ge < 0.29, local inhibitory coupling leads to out-of-phase oscillations of the neighboring BZ droplets with an almost constant phase shift Δφ between them, which makes a space-time plot of the BZ MDs look like a staircase. At 0.3 < ge < 0.6, regular oscillatory clusters consisting of distant BZ MDs (mostly 5-6 phase clusters) emerge. At 0.6 ≤ ge ≤ 1.0, chaotic clusters are observed. At 1.2 < ge < 1.8, regular (mostly 3-4-phase) clusters emerge again. At 1.8 < ge < (3-4), complex clusters with different (but multiple) periods of oscillation are observed. At the same time, some droplets stop oscillating. At large enough ge (>4), in the region of two-phase clusters (with several suppressed BZ MDs), final patterns seem to resemble the initial patterns. Intensive computer simulations with the ordinary differential equations support experimental results.
我们研究了全局负反馈 (GNF) 对填充有光敏感的振动态贝尔诺夫-扎博廷斯基 (BZ) 反应试剂的一维水微滴 (MD) 阵列动力学的影响。GNF 通过将光强与氧化态下的 BZ 液滴数量成比例建立，比例系数为 ge。MD 沉浸在连续的油相中，并通过可溶于油相的抑制剂 Br2 与相邻液滴扩散耦合。在选择的 BZ 反应物浓度下，光照会抑制 BZ 振荡器。没有 GNF，或者 ge < 0.29 非常小，局部抑制性耦合会导致相邻 BZ 液滴的相位失谐振荡，它们之间的相位差几乎保持不变，这使得 BZ MD 的时空图看起来像一个楼梯。在 0.3 < ge < 0.6 时，由远距离 BZ MD（主要是 5-6 相簇）组成的规则振荡簇出现。在 0.6 ≤ ge ≤ 1.0 时，观察到混沌簇。在 1.2 < ge < 1.8 时，再次出现规则（主要是 3-4 相）簇。在 1.8 < ge < (3-4) 时，观察到具有不同（但多个）振荡周期的复杂簇。同时，一些液滴停止振荡。在足够大的 ge (>4) 时，在两相簇（有几个抑制的 BZ MD）区域，最终模式似乎类似于初始模式。与常微分方程的密集计算机模拟支持实验结果。
