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

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

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 whit...

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Veröffentlicht in:arXiv.org 2024-03
Hauptverfasser: Shi, Chungang, Wang, Wei
Format: Artikel
Sprache:eng
Schlagworte:
Approximation
Differential equations
Diffusion rate
Mathematical analysis
White noise
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Zusammenfassung: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.
ISSN:2331-8422