针对任意几何形状设计的快速平衡
Engineered swift equilibration for arbitrary geometries
摘要：
工程快速平衡（ESE）是一类驱动协议，在开放的，经典的非平衡系统的快速状态转换的开始和结束时，强制相对于外部控制参数的平衡分布。ESE协议以前已经推导和实验实现布朗粒子在简单的，一维的，随时间变化的捕获电位;最近的一项研究认为ESE在二维欧几里德配置空间。在这里，我们扩展ESE框架的通用，过阻尼布朗系统在任意弯曲的配置空间，并说明我们的结果与具体的例子不服从以前的技术。我们的方法可用于施加必要的动态控制的全时间的配置分布在各种各样的实验可实现的设置。
英文摘要：
Engineered swift equilibration (ESE) is a class of driving protocols that enforce an equilibrium distribution with respect to external control parameters at the beginning and end of rapid state transformations of open, classical non-equilibrium systems. ESE protocols have previously been derived and experimentally realized for Brownian particles in simple, one-dimensional, time-varying trapping potentials; one recent study considered ESE in two-dimensional Euclidean configuration space. Here we extend the ESE framework to generic, overdamped Brownian systems in arbitrary curved configuration space and illustrate our results with specific examples not amenable to previous techniques. Our approach may be used to impose the necessary dynamics to control the full temporal configurational distribution in a wide variety of experimentally realizable settings.
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