活性流体中传播化学锋面的速度和模式选择
Front speed and pattern selection of a propagating chemical front in an active fluid
摘要：
生命系统中自发的斑图形成是由反应扩散化学和活性力学驱动的。化学力和机械力之间的反馈通常对于稳健的斑图形成是必不可少的，然而通常对它的了解仍然很少。在这篇分析和数值论文中，我们研究了一个实验动机的反应扩散和活性物质之间的耦合极小模型：一个自催化和应力产生物种的传播前沿。在没有活动的情况下，前线由研究充分的KPP方程描述。我们发现，即使在活跃的系统中，前传播保持至关重要的差异：一个可伸展的应力增加的前端速度超过临界值的应力，而收缩应力对前端速度没有影响，但可以产生一个周期性的不稳定性的高浓度区域后面的前面。我们希望我们的研究结果是有用的解释斑图形成在活性系统与机械力化学耦合在体内和体外。
英文摘要：
Spontaneous pattern formation in living systems is driven by reaction-diffusion chemistry and active mechanics. The feedback between chemical and mechanical forces is often essential to robust pattern formation, yet it remains poorly understood in general. In this analytical and numerical paper, we study an experimentally-motivated minimal model of coupling between reaction-diffusion and active matter: a propagating front of an autocatalytic and stress-generating species. In the absence of activity, the front is described by the the well-studied KPP equation. We find that front propagation is maintained even in active systems, with crucial differences: an extensile stress increases the front speed beyond a critical magnitude of the stress, while a contractile stress has no effect on the front speed but can generate a periodic instability in the high-concentration region behind the front. We expect our results to be useful in interpreting pattern formation in active systems with mechano-chemical coupling in vivo and in vitro.
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