论文标题
在$ s^{1} $上运行和翻滚的磁化颗粒颗粒
Magnetized granular particles running and tumbling on $S^{1}$
论文作者
论文摘要
已经表明，未振动的磁性颗粒系统通过含量的磁场将其馈入时，具有活性物质系统的大多数独特物理特征。在这项工作中，我们将注意力集中在由单维圆通道中分配的单个磁性球形粒子组成的最简单的颗粒系统上，该粒子从磁场储层中接收能量，并将其转换为运行和翻滚运动。基于半径圆的跑步模型的理论分析预测，当运行的特征持久性长度和滚动运动的特征性持久性长度，$ \ ell_ {c} <r/2 $时，当$ \ ell_ el el_ el _ el el_ e el_ e el_ {c c}}> c}> r/2 $ r/2 $ r/2 $ r/2 $ r/2 $ r/2 $ r/2 $ r/2 $ r/2 $ r/n时发现这些阶段的限制行为分别对应于圆上的布朗运动和简单的均匀圆形运动。从性质上表明，粒子的较低磁化强度，较大的持久性lenght为。至少在我们的实验有效性的实验极限内。我们的结果表明，理论与实验之间非常良好的一致性。
It has been shown that a nonvibrated magnetic granular system, when it is feeded by means an altenating magnetic field, behaves with most of the distinctive physical features of active matter systems. In this work we focus our attention on the simplest granular system composed by a single magnetized spherical particle allocated in a quasi one-dimensional circular channel that receives energy from a magnetic field reservoir and transduces it into a running and tumbling motion. The theoretical analysis based on the run and tumble model on a circle of radius R forecasts the existence of a dynamical phase transition between an erratic motion (disordered phase) when the characteristic persistence length of the run and tumble motion, $\ell_{c} < R/2$, to a persistent motion (ordered phase) when $\ell_{c}> R/2$. It is found that the limiting behaviours of these phases correspond to a Brownian motion on the circle and a simple uniform circular motion, respectively. It is qualitatively shown that the lower magnetization of a particle, the larger persistence lenght is. It is so at least within the experimental limit of validity of our experiments. Our results show a very good agreement between theory and experiment.
