随机抽运的一般不通过条件
General no-go condition for stochastic pumping
摘要：
化学动力学的控制需要了解化学机械分子构型状态之间的时间依赖性跃迁速率的影响。泵浦是指通过连续状态的循环生成净电流，例如，在时间依赖性中的每个周期。人工机器或合成分子马达的工作依赖于它。在本文中，我们给出了简短而简单的证明不去定理，其中一些出现之前，但在这里与非马尔可夫动力学，包括扩散极限的研究的必要扩展。它允许排除化学发动机工作中的某些协议，其中只有能量阱的深度随时间变化，而不是状态对之间的势垒高度。我们还展示了当这种时间依赖性打开时，预先存在的稳态电流通常如何用乘法因子进行修改。
英文摘要：
The control of chemical dynamics requires understanding the effect of time-dependent transition rates between states of chemo-mechanical molecular configurations. Pumping refers to generating a net current, e.g. per period in the time-dependence, through a cycle of consecutive states. The working of artificial machines or synthesized molecular motors depends on it. In this paper we give short and simple proofs of no-go theorems, some of which appeared before but here with essential extensions to non-Markovian dynamics, including the study of the diffusion limit. It allows to exclude certain protocols in the working of chemical motors where only the depth of the energy well is changed in time and not the barrier height between pairs of states. We also show how pre-existing steady state currents are in general modified with a multiplicative factor when this time-dependence is turned on.
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