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摘要翻译：
本文从胶体粒子和水分子的经典力学出发，研究了在深势阱间跳跃的粒子的有效随机动力学。我们证明了有效转移概率满足（局部）详细平衡条件。这使我们能够严格地确定势垒具有一定规律性和对称性时跃迁几率的精确形式。
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英文标题：
《Two theorems that relate discrete stochastic processes to microscopic
mechanics》
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作者：
Hal Tasaki
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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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英文摘要：
Starting from a classical mechanics of a ``colloid particle'' and $N$ ``water molecules'', we study effective stochastic dynamics of the particle which jumps between deep potential wells. We prove that the effective transition probability satisfies (local) detailed balance condition. This enables us to rigorously determine precise form of the transition probability when barrier potentials have certain regularity and symmetry.
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PDF链接：
https://arxiv.org/pdf/706.1032
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