Institute of Physical Chemistry, Polish Academy of Sciences, Kasprzaka 44/52, 01-224 Warsaw, Poland.
Laboratoire de Physique Théorique de la Matière Condensée, Sorbonne Université, CNRS UMR 7600, 4 place Jussieu, case courrier 121, 75252 Paris CEDEX 05, France.
Phys Rev E. 2019 Feb;99(2-1):022205. doi: 10.1103/PhysRevE.99.022205.
The sensitivity to perturbations of the Fisher and Kolmogorov, Petrovskii, Piskunov front is used to find a quantity revealing perturbations of diffusion in a concentrated solution of two chemical species with different diffusivities. The deterministic dynamics includes cross-diffusion terms due to the deviation from the dilution limit. The behaviors of the front speed, the shift between the concentration profiles of the two species, and the width of the reactive zone are investigated, both analytically and numerically. The shift between the two profiles turns out to be a well-adapted criterion presenting noticeable variations with the deviation from the dilution limit in a wide range of parameter values.
利用费希尔（Fisher）-柯尔莫哥洛夫（Kolmogorov）、彼得罗夫斯基（Petrovskii）-皮斯库诺夫（Piskunov）前缘对微扰的敏感性，我们找到了一个能够揭示两种具有不同扩散系数的化学物质在浓溶液中扩散微扰的量。确定性动力学包括由于偏离稀释极限而产生的交叉扩散项。我们通过解析和数值两种方法研究了前缘速度、两种物质浓度分布之间的位移以及反应区宽度的行为。事实证明，两个分布之间的位移是一个很好的适应标准，在很宽的参数值范围内，它与偏离稀释极限的偏差有明显的变化。
