非平衡扩散的欧拉图和拉格朗日图
Eulerian and Lagrangian pictures of non-equilibrium diffusions
摘要：
我们证明了有限维空间中的非平衡扩散动力学在其平均局部速度的拉格朗日坐标系中具有细致平衡性质的平衡形式。这解释了先前观察到的那个框架中涨落耗散关系的平衡性质。随机粒子动力学的几个例子说明了一般的考虑。
英文摘要：
We show that a non-equilibrium diffusive dynamics in a finite-dimensional space takes in the Lagrangian frame of its mean local velocity an equilibrium form with the detailed balance property. This explains the equilibrium nature of the fluctuation-dissipation relations in that frame observed previously. The general considerations are illustrated on few examples of stochastic particle dynamics.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
