液滴运动的微扰理论
Perturbation Theory for Traveling Droplets
摘要：
化学驱动液滴的运动进行了分析，通过施加受吸附物浓度的扰动流体动力学方程的可解性条件。得到了类似于活化剂-抑制剂系统中的相似跃迁的行波分岔的条件。结果表明，液滴的相互作用导致移动液滴的散射或形成规则的图案，分别在低或高吸附扩散率。同样的方法也适用于在地面冻结期间在生长的阶地边缘上运行的液滴。
英文摘要：
Motion of chemically driven droplets is analyzed by applying a solvability condition of perturbed hydrodynamic equations affected by the adsorbate concentration. Conditions for traveling bifurcation analogous to a similar transition in activator-inhibitor systems are obtained. It is shown that interaction of droplets leads to either scattering of mobile droplets or formation of regular patterns, respectively, at low or high adsorbate diffusivity. The same method is applied to droplets running on growing terrace edges during surface freezing.
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