论文标题

溶解活性颗粒的随机动力学

Stochastic dynamics of dissolving active particles

论文作者

Chamolly, Alexander, Lauga, Eric

论文摘要

近年来,人工微晶状体的设计引起了诸如纳米运动和靶向药物递送等应用的承诺。但是,许多当前的设计遇到了一个常见的问题,即游泳者无限期地留在液体中,构成堵塞和损坏的风险。受到最近提出的实验设计的启发,我们在数学上研究了可降解活性颗粒的动力学。考虑到化学或酶促反应在其表面的材料组成和性质,我们开发并比较了游泳者衰减的两个不同的化学模型。这些包括一个无反应的溶解模型,以及以大型和小的damköhler数量研究的反应游泳者的模型。出现了新的无量纲参数,可以将胶体分类为弹道和扩散类型。使用此参数,我们执行渐近分析,从释放中得出胶体寿命及其总于点位移的表达式,并通过相关的langevin动力学的数值蒙特卡洛模拟来验证它们。在一般缩放关系的支持下,我们的理论结果提供了对各种设计用于降解活性胶体的实验适用性的新见解。

The design of artificial microswimmers has generated significant research interest in recent years, for promise in applications such as nanomotors and targeted drug-delivery. However, many current designs suffer from a common problem, namely the swimmers remain in the fluid indefinitely, posing risks of clogging and damage. Inspired by recently proposed experimental designs, we investigate mathematically the dynamics of degradable active particles. We develop and compare two distinct chemical models for the decay of a swimmer, taking into account the material composition and nature of the chemical or enzymatic reaction at its surface. These include a model for dissolution without a reaction, as well as models for a reacting swimmer studied in the limit of large and small Damköhler number. A new dimensionless parameter emerges that allows the classification of colloids into ballistic and diffusive type. Using this parameter, we perform an asymptotic analysis to derive expressions for colloid lifetimes and their total mean-squared displacement from release and validate these by numerical Monte Carlo simulations of the associated Langevin dynamics. Supported by general scaling relationships, our theoretical results provide new insight into the experimental applicability of a wide range of designs for degradable active colloids.

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