论文标题
控制活跃的布朗颗粒：精确的溶液
Control of Active Brownian Particles: An exact solution
论文作者
论文摘要
在统计物理学中，控制随机系统是一个具有挑战性的开放问题，在从生物学到颗粒的许多系统中的潜在应用。与到目前为止所研究的大多数情况不同，我们在这里旨在控制一个真正的平衡系统，即谐波电位中的二维活跃的布朗颗粒模型，这是研究自propelled细菌的范式。我们在选定的时间间隔内寻找将系统从初始的被动式固定状态从初始被动式固定状态带到最终活动的驱动参数（粒子电位和活动的刚度）的协议。该原型自螺旋颗粒系统的确切分析结果为更广泛的平衡系统带来了控制技术。
Control of stochastic systems is a challenging open problem in statistical physics, with potential applications in a wealth of systems from biology to granulates. Unlike most cases investigated so far, we aim here at controlling a genuinely out-of-equilibrium system, the two dimensional Active Brownian Particles model in a harmonic potential, a paradigm for the study of self-propelled bacteria. We search for protocols for the driving parameters (stiffness of the potential and activity of the particles) bringing the system from an initial passive-like stationary state to a final active-like one, within a chosen time interval. The exact analytical results found for this prototypical system of self-propelled particles brings control techniques to a wider class of out-of-equilibrium systems.
