论文标题
记忆热浴中的强制热棘轮
A forced thermal ratchet in a memory heat bath
论文作者
论文摘要
目前的工作研究了非对称周期性潜力的非马克维亚强迫热棘轮模型。布朗动力学用具有Ornstein-uhlenbeck-type摩擦记忆内核的广义Langevin方程来描述。我们表明，对于时间依赖性驱动力的情况，也以类似于Ornstein-uhlenbeck的过程的形式，可以得出概率电流的精确表达。当驱动力作为方波调制时，我们还获得了粒子平均流量速率的行为以及浴温度的函数。将我们所有的结果与马尔可夫案中获得的结果进行了比较，我们发现，在某些情况下，摩擦存储器内核会增强当前
The present work studies a non-Markovian forced thermal ratchet model on an asymmetric periodic potential. The Brownian dynamics is described by a generalized Langevin equation with an Ornstein-Uhlenbeck-type friction memory kernel. We show that for the case of a time-dependent driving force, also in the form of an Ornstein-Uhlenbeck-like process, an exact expression of the probability current can be derived. We also obtain the behavior of the particle's average rate of flow as a function of the external amplitude force and of the bath temperature when the driving force behaves as a square wave modulation. All our results are compared with those obtained in the Markovian case and we find, fairly remarkably, that in some cases a friction memory kernel results in an enhancement of the current
