International Journal on Magnetic Particle Imaging
Vol 8 No 1 Suppl 1 (2022): Int J Mag Part Imag
https://doi.org/10.18416/IJMPI.2022.2203008

Proceedings Articles

An analytical equilibrium solution to the Néel relaxation Fokker-Planck equation

Main Article Content

Marco Maass  (Institute for Signal Processing, University of Lübeck), Christine Droigk  (Institute for Signal Processing, University of Lübeck), Mathias Eulers  (Institute for Signal Processing, University of Lübeck), Alfred Mertins  (Institute for Signal Processing, University of Lübeck)

Abstract

In this work, an analytical equilibrium solution to the Néel relaxation Fokker-Planck equation with a uniaxial anisotropy is presented. The solution is compared with a recently developed mathematical model that explains the spatial structure of the system function better than the Langevin function based model. The results presented show small relative errors on a large scale of typical particle parameters, so that both models can be considered approximately equivalent. The parameter choice for which both models diverge is outlined. The advantage of the proposed solution is its fast calculation in contrast to the numerical solution of the Fokker-Planck equation.

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