论文标题

一个由一般方程式启发的简单微型游泳器模型

A simple micro-swimmer model inspired by the general equation for nonequilibrium reversible-irreversible coupling

论文作者

Córdoba, Andrés, Schieber, Jay D., Indei, Tsutomu

论文摘要

提出了一个简单的平均微场微型游泳器模型。该模型的灵感来自经历化学反应的多组分流体的非平衡热力学。这些热力学可以在通用的框架(非平衡可逆 - 可逆耦合)框架的上下文中进行严格描述。更具体地说,这种方法最近应用于非理想聚合物溶液(Indei和Schieber,J。Chem。Phys,146,184902,2017)。该溶液的物种之一是由珠子弹簧模型代表的不反应性聚合物链。然后,使用此详细描述作为灵感,我们进行了几个简化的假设,以获得Janus微型运动员的平均场模型。此处考虑的游泳者模型由一个反应物海中的聚合物哑铃组成。哑铃的珠子之一被允许充当反应物之间化学反应的催化剂。我们表明,该Janus Dumbbell质量中心的均方位移MSD在反应物浓度很大的时间尺度上表现出弹道行为。在MSD中观察到的弹道行为的时间尺度与游泳器方向和其位移方向之间互相关的时间尺度相吻合。由于游泳者模型的灵感来自通用框架,因此可以确保熵产生始终是正面的,因此遵守热力学的第二定律。

A simple mean-field micro-swimmer model is presented. The model is inspired by the nonequilibrium thermodynamics of multi-component fluids that undergo chemical reactions. These thermodynamics can be rigorously described in the context of the GENERIC (general equation for the nonequilibrium reversible-irreversible coupling) framework. More specifically this approach was recently applied to non-ideal polymer solutions (Indei and Schieber, J. Chem. Phys, 146, 184902, 2017). One of the species of the solution is an unreactive polymer chain represented by the bead-spring model. Using this detailed description as inspiration we then make several simplifying assumptions to obtain a mean-field model for a Janus micro-swimmer. The swimmer model considered here consists of a polymer dumbbell in a sea of reactants. One of the beads of the dumbbell is allowed to act as a catalyst for a chemical reaction between the reactants. We show that the mean-squared displacement, MSD, of the center of mass of this Janus dumbbell exhibits ballistic behavior at time scales at which the concentration of reactant is large. The time scales at which the ballistic behavior is observed in the MSD coincides with the time scales at which the cross-correlation between the swimmer's orientation and the direction of its displacement exhibit a maximum. Since the swimmer model was inspired by the GENERIC framework it is possible to ensure that the entropy generation is always positive and therefore the second law of thermodynamics is obeyed.

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