摘要翻译:
我们建立了介观随机动力学中几何效应的统一理论。我们证明了绝热泵和可逆棘轮效应,以及其他领域(如流行病学)中类似的新现象,都是从几何相位贡献到矩母函数的随机路径积分表示中的有效作用。该理论为任意细观随机框架下的类泵现象的识别、预测和计算提供了通用技术。
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英文标题:
《The unified geometric theory of mesoscopic stochastic pumps and
reversible ratchets》
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作者:
N. A. Sinitsyn and I. Nemenman
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最新提交年份:
2007
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分类信息:
一级分类:Physics 物理学
二级分类:Statistical Mechanics 统计力学
分类描述:Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变,热力学,场论,非平衡现象,重整化群和标度,可积模型,湍流
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一级分类:Quantitative Biology 数量生物学
二级分类:Quantitative Methods 定量方法
分类描述:All experimental, numerical, statistical and mathematical contributions of value to biology
对生物学价值的所有实验、数值、统计和数学贡献
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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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PDF链接:
https://arxiv.org/pdf/705.2057