标题： 活性粒子和被动粒子配对诱导运动的简单数学模型 显示英文标题

标题： Simple mathematical model for a pairing-induced motion of active and passive particles

摘要： 我们提出一个简单的数学模型，描述二维系统中活性粒子和被动粒子的配对诱导运动，这受到我们之前的论文 [Ishikawa 等，Phys. Rev. E\textbf{106}(2022) 024604] 的启发。我们假设以下特征；活性粒子和被动粒子通过线性弹簧连接，活性粒子沿当前速度方向驱动，而被动粒子则被排斥远离活性粒子。通过数值模拟观察到了直线运动、圆周运动和回旋运动。理论分析根据自推进力的大小再现了直线运动和圆周运动之间的分岔。 显示英文摘要

摘要： We propose a simple mathematical model that describes a pairing-induced motion of active and passive particles in a two-dimensional system, which is motivated by our previous paper [Ishikawa et al., Phys. Rev. E \textbf{106} (2022) 024604]. We assume the following features; the active and passive particles are connected with a linear spring, the active particle is driven in the direction of the current velocity, and the passive particle is repelled from the active particle. A straight motion, a circular motion, and a slalom motion were observed by numerical simulation. Theoretical analysis reproduces the bifurcation between the straight and circular motions depending on the magnitude of self-propulsion.