Simulating magnetization dynamics of large ensembles of single domain nanoparticles: Numerical study of Brown/Néel dynamics and parameter identification problems in magnetic particle imaging
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Simulating magnetization dynamics of large ensembles of single domain nanoparticles: Numerical study of Brown/Néel dynamics and parameter identification problems in magnetic particle imaging. / Albers, Hannes; Kluth, Tobias; Knopp, Tobias.
In: J MAGN MAGN MATER, Vol. 541, 168508, 01.01.2022.Research output: SCORING: Contribution to journal › SCORING: Journal article › Research › peer-review
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TY - JOUR
T1 - Simulating magnetization dynamics of large ensembles of single domain nanoparticles: Numerical study of Brown/Néel dynamics and parameter identification problems in magnetic particle imaging
AU - Albers, Hannes
AU - Kluth, Tobias
AU - Knopp, Tobias
N1 - Funding Information: Funding: H. Albers and T. Kluth acknowledge funding by the German Research Foundation (DFG, Deutsche Forschungsgemeinschaft) - project 426078691 . Publisher Copyright: © 2021 Elsevier B.V.
PY - 2022/1/1
Y1 - 2022/1/1
N2 - Magnetic nanoparticles and their magnetization dynamics play an important role in many applications. We focus on magnetization dynamics in large ensembles of single domain nanoparticles being characterized by either Brownian or Néel rotation mechanisms. Simulations of the respective behavior are obtained by solving advection–diffusion equations on the sphere, for which a unified computational framework is developed and investigated. This builds the basis for solving two parameter identification problems, which are formulated in the context of the chosen application, magnetic particle imaging. The functionality of the computational framework is illustrated by numerical results in the parameter identification problems either compared quantitatively or qualitatively to measured data.
AB - Magnetic nanoparticles and their magnetization dynamics play an important role in many applications. We focus on magnetization dynamics in large ensembles of single domain nanoparticles being characterized by either Brownian or Néel rotation mechanisms. Simulations of the respective behavior are obtained by solving advection–diffusion equations on the sphere, for which a unified computational framework is developed and investigated. This builds the basis for solving two parameter identification problems, which are formulated in the context of the chosen application, magnetic particle imaging. The functionality of the computational framework is illustrated by numerical results in the parameter identification problems either compared quantitatively or qualitatively to measured data.
KW - Advection–diffusion equation
KW - Brown/Néel rotation
KW - Fokker–Planck equation
KW - Magnetic nanoparticles
KW - Magnetic particle imaging
KW - Parameter identification
UR - http://www.scopus.com/inward/record.url?scp=85115373510&partnerID=8YFLogxK
U2 - 10.1016/j.jmmm.2021.168508
DO - 10.1016/j.jmmm.2021.168508
M3 - SCORING: Journal article
AN - SCOPUS:85115373510
VL - 541
JO - J MAGN MAGN MATER
JF - J MAGN MAGN MATER
SN - 0304-8853
M1 - 168508
ER -