趋化粒子作为强电解质：Debye-Hückel近似与有效迁移率定律
Chemotactic particles as strong electrolytes: Debye-Hückel approximation and effective mobility law
AI总结：
本文将化学活性趋化粒子的二元混合物类比为强电解质，解析导出其在外部浓度梯度下的有效泳动迁移率随浓度平方根衰减，推广了Kohlrausch与Debye-Hückel-Onsager定律。
摘要：
我们考虑由化学活性粒子组成的二元混合物，这些粒子会产生或消耗溶质分子，并通过它们所产生的长程浓度场发生相互作用。当混合物受到恒定的外部浓度梯度作用时，我们在总浓度的主导阶上解析计算了这些粒子的有效泳动迁移率。借助与强电解质建模的类比，我们证明有效泳动迁移率随浓度的平方根衰减；因此，我们的结果对应于著名的Kohlrausch以及Debye-Hückel-Onsager电解质电导率定律的非平衡版本，并在此将这些定律推广到具有长程非互易相互作用的粒子。我们推导得到的有效迁移率定律揭示了一个最大迁移率区间的存在，并可能应用于描述活细胞中的纳米尺度输运现象。
英文摘要：
We consider a binary mixture of chemically active particles, that produce or consume solute molecules, and that interact with each other through the long-range concentrations fields they generate. We analytically calculate the effective phoretic mobility of these particles when the mixture is submitted to a constant, external concentration gradient, at leading order in the overall concentration. Relying on a analogy with the modeling of strong electrolytes, we show that the effective phoretic mobility decays with the square-root of the concentration: our result is therefore a nonequilibrium counterpart to the celebrated Kohlrausch and Debye-Hückel-Onsager conductivity laws for electrolytes, which are extended here to particles with long-range nonreciprocal interactions. The effective mobility law we derive reveals the existence of a regime of maximal mobility, and could find applications in the description of nanoscale transport phenomena in living cells.
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