介观随机泵和可逆棘轮的统一几何理论
The unified geometric theory of mesoscopic stochastic pumps and reversible ratchets
摘要：
本文建立了介观随机动力学几何效应的统一理论。我们表明，绝热泵和可逆棘轮效应，以及类似的新现象在其他领域，如在流行病学，都遵循几何相位贡献的有效行动的随机路径积分表示的时刻生成函数。该理论为在任意介观随机框架下识别、预测和计算类泵现象提供了通用技术。
英文摘要：
We construct a unifying theory of geometric effects in mesoscopic stochastic kinetics. We demonstrate that the adiabatic pump and the reversible ratchet effects, as well as similar new phenomena in other domains, such as in epidemiology, all follow from geometric phase contributions to the effective action in the stochastic path integral representation of the moment generating function. The theory provides the universal technique for identification, prediction and calculation of pump-like phenomena in an arbitrary mesoscopic stochastic framework.
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