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, Jahrgang 541, 168508, 01.01.2022.

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@article{3dd58e8bd2e34edc899df460dc38cb31,
title = "Simulating magnetization dynamics of large ensembles of single domain nanoparticles: Numerical study of Brown/N{\'e}el dynamics and parameter identification problems in magnetic particle imaging",
abstract = "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 N{\'e}el 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.",
keywords = "Advection–diffusion equation, Brown/N{\'e}el rotation, Fokker–Planck equation, Magnetic nanoparticles, Magnetic particle imaging, Parameter identification",
author = "Hannes Albers and Tobias Kluth and Tobias Knopp",
note = "Funding Information: Funding: H. Albers and T. Kluth acknowledge funding by the German Research Foundation (DFG, Deutsche Forschungsgemeinschaft) - project 426078691 . Publisher Copyright: {\textcopyright} 2021 Elsevier B.V.",
year = "2022",
month = jan,
day = "1",
doi = "10.1016/j.jmmm.2021.168508",
language = "English",
volume = "541",
journal = "J MAGN MAGN MATER",
issn = "0304-8853",
publisher = "Elsevier",

}

RIS

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 -