Department of Physics, Technion-Israel Institute of Technology, Haifa 32000, Israel.
The Russell Berrie Nanotechnology Institute, Technion-Israel Institute of Technology, Haifa 32000, Israel.
Phys Rev E. 2019 Nov;100(5-1):052610. doi: 10.1103/PhysRevE.100.052610.
The effects of quenched disorder on a single and many active run-and-tumble particles are studied in one dimension. For a single particle, we consider both the steady-state distribution and the particle's dynamics subject to disorder in three parameters: a bounded external potential, the particle's speed, and its tumbling rate. We show that in the case of a disordered potential, the behavior is like an equilibrium particle diffusing on a random force landscape, implying a dynamics that is logarithmically slow in time. In the situations of disorder in the speed or tumbling rate, we find that the particle generically exhibits diffusive motion, although particular choices of the disorder may lead to anomalous diffusion. Based on the single-particle results, we find that in a system with many interacting particles, disorder in the potential leads to strong clustering. We characterize the clustering in two different regimes depending on the system size and show that the mean cluster size scales with the system size, in contrast to nondisordered systems.
在一维空间中，研究了淬火无序对单个和多个活跃的跑-跳粒子的影响。对于单个粒子，我们同时考虑了在三个参数（外部有界势、粒子速度和翻转率）下的无序对粒子的稳态分布和动力学的影响。我们表明，在无序势的情况下，行为类似于在随机力景观上扩散的平衡粒子，这意味着动力学随时间呈对数缓慢。在速度或翻转率无序的情况下，我们发现粒子通常表现出扩散运动，尽管无序的特定选择可能导致异常扩散。基于单粒子的结果，我们发现，在具有许多相互作用粒子的系统中，势中的无序会导致强烈的聚类。我们根据系统大小在两种不同的模式下对聚类进行了特征描述，并表明与无规系统相比，平均聚类大小与系统大小成比例。
