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Link to original content: https://pubmed.ncbi.nlm.nih.gov/25271360
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Review
. 2014;42(1):85-93.
doi: 10.1615/critrevbiomedeng.2014010845.

Approaches for modeling magnetic nanoparticle dynamics

Daniel B Reeves  1 , John B Weaver  2
Affiliations
Review

Approaches for modeling magnetic nanoparticle dynamics

Daniel B Reeves et al. Crit Rev Biomed Eng. 2014.

Abstract

Magnetic nanoparticles are useful biological probes as well as therapeutic agents. Several approaches have been used to model nanoparticle magnetization dynamics for both Brownian as well as Neel rotation. Magnetizations are often of interest and can be compared with experimental results. Here we summarize these approaches, including the Stoner-Wohlfarth approach and stochastic approaches including thermal fluctuations. Non-equilibrium-related temperature effects can be described by a distribution function approach (Fokker-Planck equation) or a stochastic differential equation (Langevin equation). Approximate models in several regimes can be derived from these general approaches to simplify implementation.

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Figures

FIG. 1
FIG. 1
Two applications for magnetic nanoparticles (a) sensing specific ‘analyte’ biomolecules, and (b) locally heating through dissipative losses from oscillating particles.
FIG. 2
FIG. 2
Néel and Brownian particles relax differently. The moment can rotate internally to align with the anisotropy axis n, or the entire particle can rotate.
See this image and copyright information in PMC

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