The Smoluchowski-Kramers approximation with distribution-dependent potential and highly oscillating force
Probability
2024-03-08 v1
Abstract
An approximation is derived for a Langevin equation with distribution-dependent potential and state-dependent, randomly fast oscillation. By some estimates and a diffusion approximation the limiting equation is shown to be distribution-dependent stochastic differential equation (SDEs) driven by white noise.
Keywords
Cite
@article{arxiv.2403.04237,
title = {The Smoluchowski-Kramers approximation with distribution-dependent potential and highly oscillating force},
author = {Chungang Shi and Wei Wang},
journal= {arXiv preprint arXiv:2403.04237},
year = {2024}
}