Abstract

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 $1∕𝜀$. The microscopic system is modeled through a piecewise deterministic Markov jump process. We show that for large $N$, small particle volume fraction and small $𝜀$, the system can be effectively described by a multiscale model.

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