论文标题
随机泵的奇异最佳驾驶循环
Singular optimal driving cycles of stochastic pumps
论文作者
论文摘要
对最佳过程的研究在热力学领域具有悠久的历史。众所周知，最小化耗散的有限时间通常表现出不连续性。我们使用数值和分析方法的组合来研究在随机泵的简单模型中最大化输出的驾驶周期：由外部参数的循环变化驱动到平衡的系统。我们发现，此最佳解决方案是单数的，并且参数集之间的切换速率是无限的。这种奇异溶液在热力学过程中的外观令人惊讶，但我们认为，只要动态表现出指数弛豫的模型，只要驾驶期不在外部固定，并且允许任意短短，则预期这种溶液将非常普遍。我们的结果与以循环方式驱动的人工分子电机具有影响。
The investigation of optimal processes has a long history in the field of thermodynamics. It is well known that finite-time processes that minimize dissipation often exhibit discontinuities. We use a combination of numerical and analytical approaches to study the driving cycle that maximizes the output in a simple model of a stochastic pump: a system driven out of equilibrium by a cyclic variation of external parameters. We find that this optimal solution is singular, with an infinite rate of switching between sets of parameters. The appearance of such singular solutions in thermodynamic processes is surprising, but we argue that such solutions are expected to be quite common in models whose dynamics exhibit exponential relaxation, as long as the driving period is not externally fixed, and is allowed to be arbitrarily short. Our results have implications to artificial molecular motors that are driven in a cyclic manner.
