Averaging on Macroscopic Scales with Application to Smoluchowski–Kramers Approximation.

This paper develops an averaging approach on macroscopic scales to derive Smoluchowski–Kramers approximation for a Langevin equation with state dependent friction in d-dimensional space. In this approach we couple the microscopic dynamics to the macroscopic scales. The weak convergence rate is also presented. [ABSTRACT FROM AUTHOR]