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Derivation of a
multiscale ferrofluid model: superparamagnetic behavior due
to fast spin flip
Alexandre Girodroux-Lavigne and Richard M. Höfer |
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Vol. 8 (2026), No. 1, 121–151
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Abstract |
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We consider a microscopic model of 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 . The microscopic system is modeled through a piecewise deterministic Markov jump process. We show that for large , small particle volume fraction and small , the system can be effectively described by a multiscale model. |
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Keywords
Stokes flow, homogenization, interacting particle system,
Markov jump process
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Mathematical Subject Classification
Primary: 35Q70, 76D07, 76M50, 76T20
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Milestones
Received: 29 April 2025
Revised: 11 November 2025
Accepted: 29 December 2025
Published: 17 February 2026
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Authors |
| Alexandre Girodroux-Lavigne | |
| University of Regensburg Regensburg Germany |
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| Richard M. Höfer | |
| University of Regensburg Regensburg Germany |
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| © 2026 MSP (Mathematical Sciences Publishers). |
