论文标题
相互作用的布朗颗粒的目标搜索
Target Searches of Interacting Brownian Particles
论文作者
论文摘要
我们研究了有限域中相互作用的布朗颗粒的目标搜索，重点是颗粒间相互作用对搜索时间的影响。我们得出平均第一学期时间的积分方程，并在Mayer函数的顺序中获取其解决方案作为串联扩展。对于与大多数目标搜索问题相关的稀释系统，我们在分析上获得了对搜索时间的领先顺序校正，并证明了粒子密度和第二个病毒系数给出的普遍关系。最后，我们通过Langevin Dynamics模拟对各种相互作用势的理论预测验证了我们的理论预测。
We study the target search of interacting Brownian particles in a finite domain, focusing on the effect of inter-particle interactions on the search time. We derive the integral equation for the mean first-passage time and acquire its solution as a series expansion in the orders of the Mayer function. For dilute systems relevant to most target search problems, we analytically obtain the leading order correction to the search time and prove a universal relation given by the particle density and the second virial coefficient. Finally, we validate our theoretical prediction by Langevin dynamics simulations for the various types of the interaction potential.
