随机泵无泵定理的图解证明
A proof by graphical construction of the no-pumping theorem of stochastic pumps
摘要:
随机泵是在外部变化参数的控制下演化的介观系统的马尔可夫模型。在该模型中,系统在状态网络之间进行随机转换。对于这样的模型,一个“无泵定理”已经获得,它确定了产生定向运动或电流的最小条件。我们提供了一个推导这个结果,使用一个简单的图形结构上的网络状态。
英文摘要:
A stochastic pump is a Markov model of a mesoscopic system evolving under the control of externally varied parameters. In the model, the system makes random transitions among a network of states. For such models, a "no-pumping theorem" has been obtained, which identifies minimal conditions for generating directed motion or currents. We provide a derivation of this result using a simple graphical construction on the network of states.
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