论文标题
由粘弹性培养基引起的活性布朗运动与记忆延迟
Active Brownian motion with memory delay induced by a viscoelastic medium
论文作者
论文摘要
到目前为止，主动布朗运动是一个良好的模型，用于描述牛顿液中介镜自行颗粒的运动。在广义的langevin方程的基础上，我们提出了一个分析框架，用于主动布朗运动的分析框架，并假设具有时间依赖性的摩擦核，用于转化和定向的自由度，以说明粘弹性介质的时间延迟响应。获得方向相关函数，平均位移和均方位移的分析结果，我们特别评估了麦克斯韦流体，其特征在于核的特征，该核会及时呈指数衰减。此外，我们确定了记忆引起的延迟在有效的自我螺旋力和粒子方向之间，我们根据特殊的动态相关函数进行了量化。原则上，我们可以在各种粘弹性环境（例如聚合物溶液）中为活性胶体粒子验证我们的预测。
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.
