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arXiv · 2403.04237

The Smoluchowski-Kramers approximation with distribution-dependent potential and highly oscillating force

Chungang Shi·Wei Wang
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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.

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Chungang Shi, Wei Wang. 2024-03-07. The Smoluchowski-Kramers approximation with distribution-dependent potential and highly oscillating force. https://arxiv.org/abs/2403.04237

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