标题： 耗散函数和布朗振子 显示英文标题

标题： Dissipation functions and Brownian oscillators

摘要： 我们开发了一个用于由福克-普朗克方程描述的扩散过程的响应理论的一般框架，该框架基于耗散函数的概念。 利用可解析求解的布朗振子模型，我们推导了谐波束缚布朗粒子的过阻尼和欠阻尼动力学的精确响应公式。 我们还证明了对于某些可观测量并在适当的时空标度下，模型约简和响应公式提取操作是可交换的。 显示英文摘要

摘要： We develop a general framework for response theory in diffusion processes governed by Fokker-Planck equations, based on the notion of the Dissipation Function. Using the analytically solvable Brownian oscillator model, we derive exact response formulae for both overdamped and underdamped dynamics of harmonically bound Brownian particles. We also demonstrate that for certain observables and under suitable time scaling, the operations of model reduction and response formula extraction commute.