Small mass limit for stochastic interacting particle systems with Lévy noise and linear alignment force Article Swipe
Zibo Wang
,
Li Lv
,
Yanjie Zhang
,
Jinqiao Duan
,
Wei Wang
·
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.1063/5.0159127
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.1063/5.0159127
We study the small mass limit in mean field theory for an interacting particle system with non-Gaussian Lévy noise. When the Lévy noise has a finite second moment, we obtain the limit equation with convergence rate ε+1/εN, by taking first the mean field limit N→∞ and then the small mass limit ε→0. If the order of the two limits is exchanged, the limit equation remains the same but has a different convergence rate ε+1/N. However, when the Lévy noise is α-stable, which has an infinite second moment, we can only obtain the limit equation by taking first the small mass limit and then the mean field limit, with the convergence rate 1/Nα−1+1/Np2+εp/α where p∈(1,α). This provides an effectively limit model for an interacting particle system under a non-Gaussian Lévy fluctuation, with rigorous error estimates.
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- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.1063/5.0159127
- https://pubs.aip.org/aip/cha/article-pdf/doi/10.1063/5.0159127/19699016/023140_1_5.0159127.pdf
- OA Status
- bronze
- References
- 34
- Related Works
- 10
- OpenAlex ID
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https://openalex.org/W4392247100Canonical identifier for this work in OpenAlex
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Small mass limit for stochastic interacting particle systems with Lévy noise and linear alignment forceWork title
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articleOpenAlex work type
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enPrimary language
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2024Year of publication
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2024-02-01Full publication date if available
- Authors
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Zibo Wang, Li Lv, Yanjie Zhang, Jinqiao Duan, Wei WangList of authors in order
- Landing page
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https://doi.org/10.1063/5.0159127Publisher landing page
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https://pubs.aip.org/aip/cha/article-pdf/doi/10.1063/5.0159127/19699016/023140_1_5.0159127.pdfDirect link to full text PDF
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YesWhether a free full text is available
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bronzeOpen access status per OpenAlex
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https://pubs.aip.org/aip/cha/article-pdf/doi/10.1063/5.0159127/19699016/023140_1_5.0159127.pdfDirect OA link when available
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Limit (mathematics), Noise (video), Statistical physics, Physics, Particle (ecology), Classical mechanics, Mathematics, Mathematical analysis, Computer science, Geology, Image (mathematics), Oceanography, Artificial intelligenceTop concepts (fields/topics) attached by OpenAlex
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10Other works algorithmically related by OpenAlex
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| primary_location.source.host_organization_lineage_names | American Institute of Physics |
| primary_location.license | |
| primary_location.pdf_url | https://pubs.aip.org/aip/cha/article-pdf/doi/10.1063/5.0159127/19699016/023140_1_5.0159127.pdf |
| primary_location.version | publishedVersion |
| primary_location.raw_type | journal-article |
| primary_location.license_id | |
| primary_location.is_accepted | True |
| primary_location.is_published | True |
| primary_location.raw_source_name | Chaos: An Interdisciplinary Journal of Nonlinear Science |
| primary_location.landing_page_url | https://doi.org/10.1063/5.0159127 |
| publication_date | 2024-02-01 |
| publication_year | 2024 |
| referenced_works | https://openalex.org/W2610617433, https://openalex.org/W2103714988, https://openalex.org/W2002632395, https://openalex.org/W1999040016, https://openalex.org/W1971180469, https://openalex.org/W2554064905, https://openalex.org/W3209877330, https://openalex.org/W2320126040, https://openalex.org/W2729138981, https://openalex.org/W2043692946, https://openalex.org/W2372596251, https://openalex.org/W2012401747, https://openalex.org/W2963644551, https://openalex.org/W4229079546, https://openalex.org/W3136077900, https://openalex.org/W4221158767, https://openalex.org/W4281650453, https://openalex.org/W3046252327, https://openalex.org/W4292940648, https://openalex.org/W2736524766, https://openalex.org/W2096013004, https://openalex.org/W4313592026, https://openalex.org/W2005039310, https://openalex.org/W3109351882, https://openalex.org/W1545661911, https://openalex.org/W3163629276, https://openalex.org/W2963412531, https://openalex.org/W3198407312, https://openalex.org/W4206340981, https://openalex.org/W2324132765, https://openalex.org/W4386866274, https://openalex.org/W3167854512, https://openalex.org/W3098358723, https://openalex.org/W3098017411 |
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