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Critical Reviews™ in Biomedical Engineering
SJR: 0.243 SNIP: 0.376 CiteScore™: 0.79

ISSN Print: 0278-940X
ISSN Online: 1943-619X

Critical Reviews™ in Biomedical Engineering

DOI: 10.1615/CritRevBiomedEng.2014010845
pages 85-93

Approaches for Modeling Magnetic Nanoparticle Dynamics

Daniel B. Reeves
Department of Physics and Astronomy, 6127 Wilder Hall, Dartmouth College, Hanover NH, 03755
John B. Weaver
Department of Physics and Astronomy, 6127 Wilder Hall, Dartmouth College, Hanover NH, 03755; Department of Radiology, Dartmouth Hitchcock Medical Center, Hanover, New Hampshire

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.