We study the effects of two-dimensional chaotic advection on a chemical system characterised by competitive exothermic and endothermic reactions. In previous studies, in which advective flow and reaction processes were assumed to dominate weak diffusive effects, two distinct behaviours were observed in the system. The first, when the stirring is fast and the reaction is slow. In this case, flame quenching occurs. In contrast, when the stirring is slow and the reaction is fast, local temperature perturbations lead to a stationary flame with a complex filament structure. We show here that, when the diffusion process is more influential, as for example in many microfluidic contexts, a third type of behaviour is possible, in which an expanding swirling travelling wave develops. We explore the parameter values which separate these different behaviours.

我们研究了二维混沌对流对以竞争性放热和吸热反应为特征的化学系统的影响。在以前的研究中，假设对流流动和反应过程主导了弱扩散效应，在系统中观察到了两种不同的行为。首先，当搅拌快速而反应缓慢时。在这种情况下，会发生火焰淬火。相反，当搅拌慢且反应快时，局部温度扰动导致具有复杂长丝结构的固定火焰。我们在这里显示出，当扩散过程更具影响力时，例如在许多微流体环境中，第三种行为是可能的，其中会产生扩展的涡旋行波。我们探索了将这些不同行为分开的参数值。