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arXiv 2202.04403cond-mat.softcond-mat.stat-mech
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粘弹性介质诱导的具有记忆时滞的主动布朗运动

Active Brownian motion with memory delay induced by a viscoelastic medium

Alexander R. Sprenger, Christian Bair, Hartmut Löwen

摘要:

主动布朗运动是描述介观自推进粒子在牛顿流体中运动的一个成熟模型。基于广义Langevin方程,提出了一个考虑粘弹性介质时滞响应的具有记忆时滞的主动布朗运动的分析框架,该框架假设了平移和定向自由度的摩擦核均随时间变化.解析结果得到的取向关联函数,平均位移和均方位移,我们特别是评估的麦克斯韦流体的特点是由一个内核,在时间上呈指数衰减。此外,我们确定了记忆诱导的有效自推进力和粒子取向,我们量化的一个特殊的动态关联函数方面的延迟。在原则上,我们的预测可以验证在各种粘弹性环境,如聚合物溶液中的活性胶体颗粒。

英文摘要:

By now active Brownian motion is a well-established model to describe the motion of mesoscopic self-propelled particles in a Newtonian fluid. On the basis of the generalized Langevin equation, we present an analytic framework for active Brownian motion with memory delay assuming time-dependent friction kernels for both translational and orientational degrees of freedom to account for the time-delayed response of a viscoelastic medium. Analytical results are obtained for the orientational correlation function, mean displacement and mean-square displacement which we evaluate in particular for a Maxwell fluid characterized by a kernel which decays exponentially in time. Further, we identify a memory induced delay between the effective self-propulsion force and the particle orientation which we quantify in terms of a special dynamical correlation function. In principle our predictions can be verified for an active colloidal particle in various viscoelastic environments such as a polymer solution.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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