Derivation of a Multiscale Ferrofluid Model: Superparamagnetic Behavior due to Fast Spin Flip
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866914347797708800 |
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| author | Girodoux-Lavigne, Alexandre Höfer, Richard M. |
| author_facet | Girodoux-Lavigne, Alexandre Höfer, Richard M. |
| contents | We consider a microscopic model of $N$ magnetic nanoparticles in a Stokes flow. We assume that the temperature is above the critical Néel temperature such that the particles' magnetizations undergo random flip with rate $1/\varepsilon$. The microscopic system is the modeled through a piecewise deterministic Markov jump process. We show that for large $N$, small particle volume fraction and small $\varepsilon$, the system can be effectively described by a multiscale model. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_12918 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Derivation of a Multiscale Ferrofluid Model: Superparamagnetic Behavior due to Fast Spin Flip Girodoux-Lavigne, Alexandre Höfer, Richard M. Analysis of PDEs We consider a microscopic model of $N$ magnetic nanoparticles in a Stokes flow. We assume that the temperature is above the critical Néel temperature such that the particles' magnetizations undergo random flip with rate $1/\varepsilon$. The microscopic system is the modeled through a piecewise deterministic Markov jump process. We show that for large $N$, small particle volume fraction and small $\varepsilon$, the system can be effectively described by a multiscale model. |
| title | Derivation of a Multiscale Ferrofluid Model: Superparamagnetic Behavior due to Fast Spin Flip |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2501.12918 |