论文标题
驱动随机系统的精确划空权衡
Precision-dissipation trade-off for driven stochastic systems
论文作者
论文摘要
在本文中，我得出了一个封闭的表达式，以精确地遵循预定义的轨迹，同时将其耗散量保持在固定极限之下。耗散的总量与预期的预定轨迹的预期偏差大致成反比。得出了最佳驾驶协议，并表明相关的时间依赖性概率分布在整个协议中保留其形状。在位擦除和电子电路的背景下讨论了潜在的应用。
In this paper, I derive a closed expression for how precisely a small-scaled system can follow a pre-defined trajectory, while keeping its dissipation below a fixed limit. The total amount of dissipation is approximately inversely proportional to the expected deviation from the pre-defined trajectory. The optimal driving protocol is derived and it is shown that associated time-dependent probability distribution conserves its shape throughout the protocol. Potential applications are discussed in the context of bit erasure and electronic circuits.
