The Smoluchowski-Kramers approximation with distribution-dependent potential and highly oscillating force
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
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| _version_ | 1866910356328153088 |
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| author | Shi, Chungang Wang, Wei |
| author_facet | Shi, Chungang Wang, Wei |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_04237 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The Smoluchowski-Kramers approximation with distribution-dependent potential and highly oscillating force Shi, Chungang Wang, Wei Probability 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. |
| title | The Smoluchowski-Kramers approximation with distribution-dependent potential and highly oscillating force |
| topic | Probability |
| url | https://arxiv.org/abs/2403.04237 |