标题： 扩散过程的涨落关系 显示英文标题

标题： Fluctuation Relations for Diffusion Processes

摘要： 本文提出了一种统一的方法，用于研究由扩散过程描述的经典非平衡动力学中的不同涨落关系。 这些关系将原始过程中的熵产生或功的涨落统计量与时间反演过程中的类似统计量进行比较。 各种涨落关系的来源被追溯到使用不同的时间反演。 还展示了如何将所提出的方法应用于描述原始过程中无限接近轨迹联合演化的切过程，从而导致涨落关系的乘法扩展。 显示英文摘要

摘要： The paper presents a unified approach to different fluctuation relations for classical nonequilibrium dynamics described by diffusion processes. Such relations compare the statistics of fluctuations of the entropy production or work in the original process to the similar statistics in the time-reversed process. The origin of a variety of fluctuation relations is traced to the use of different time reversals. It is also shown how the application of the presented approach to the tangent process describing the joint evolution of infinitesimally close trajectories of the original process leads to a multiplicative extension of the fluctuation relations.