Modeling chemo-hydrodynamic interactions of phoretic particles: A unified framework
Modeling chemo-hydrodynamic interactions of phoretic particles: A unified framework
复制标题
模拟泳动粒子的化学流体动力学相互作用：统一框架
DOI：
10.1103/physrevfluids.4.124204
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发表时间：
2019
影响因子：
2.7
通讯作者：
S. Michelin
中科院分区：
文献类型：
--
作者：
Akhil Varma;S. Michelin
光致粒子利用局部自生的物理化学梯度来实现微米级的自推进。大量这样的粒子的集体动力学是目前激烈的研究工作的焦点，无论是从物理的角度来理解相互作用的精确机制及其各自的作用，还是从实验的角度来解释复杂动力学的观察以及相干大尺度结构的形成。然而，这种多粒子问题的精确建模是困难的，迄今为止的大多数努力都依赖于每个粒子签名的远场近似的叠加，这仅在稀悬浮极限下渐近有效。一个系统的和统一的分析框架的基础上的经典方法的反射（莫尔）在这里开发的拉普拉斯和斯托克斯的问题，以获得更高阶的相互作用和由此产生的多个电泳粒子的速度，到任何顺序的精度的半径与距离比$\vareps $的粒子。除了简单的成对化学或流体动力学相互作用，该模型允许我们考虑通用的化学流体动力学耦合以及$N$-粒子相互作用（$N\geq 3$）。然后明确地获得了精确的相互作用速度，并讨论了由此产生的莫尔模型的实现，并对一些典型问题的精确解进行了定量验证。
Phoretic particles exploit local self-generated physico-chemical gradients to achieve self-propulsion at the micron scale. The collective dynamics of a large number of such particles is currently the focus of intense research efforts, both from a physical perspective to understand the precise mechanisms of the interactions and their respective roles, as well as from an experimental point of view to explain the observations of complex dynamics as well as formation of coherent large-scale structures. However, an exact modelling of such multi-particle problems is difficult and most efforts so far rely on the superposition of far-field approximations for each particle's signature, which are only valid asymptotically in the dilute suspension limit. A systematic and unified analytical framework based on the classical Method of Reflections (MoR) is developed here for both Laplace and Stokes' problems to obtain the higher-order interactions and the resulting velocities of multiple phoretic particles, up to any order of accuracy in the radius-to-distance ratio $\varepsilon$ of the particles. Beyond simple pairwise chemical or hydrodynamic interactions, this model allows us to account for the generic chemo-hydrodynamic couplings as well as $N$-particle interactions ($N\geq 3$). The $\varepsilon^5$-accurate interaction velocities are then explicitly obtained and the resulting implementation of this MoR model is discussed and validated quantitatively against exact solutions of a few canonical problems.
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影响因子：
13.6
作者：
Kaiser A;Snezhko A;Aranson IS
通讯作者：
Aranson IS
DOI：
10.1088/0953-8984/28/25/253001
发表时间：
2016-01
期刊：
Journal of Physics: Condensed Matter
影响因子：
--
作者：
A. Zöttl;H. Stark
通讯作者：
A. Zöttl;H. Stark
影响因子：
44.1
作者：
Marchetti, M. C.;Joanny, J. F.;Simha, R. Aditi
通讯作者：
Simha, R. Aditi
影响因子：
8.6
作者：
Krueger, Carsten;Kloes, Gunnar;Maass, Corinna C.
通讯作者：
Maass, Corinna C.
影响因子：
44.1
作者：
Bechinger, Clemens;Di Leonardo, Roberto;Volpe, Giovanni
通讯作者：
Volpe, Giovanni