Numerical Solutions of the Fokker-Planck Equation for Magnetic Nanoparticles

We present a method to solve numerically the Fokker-Planck equation for a uniformly magnetized nanoparticle. This approach is an algebraic formulation scheme that uses integral variables associated with space and time elements. This new method is compared with a spectral collocation method, similar...

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Bibliographic Details
Published in:IEEE transactions on magnetics 2009-11, Vol.45 (11), p.5216-5219
Main Authors: Ansalone, D.P., Ragusa, C., d'Aquino, M., Serpico, C., Bertotti, G.
Format: Article
Language:English
Subjects:
Cross-disciplinary physics: materials science
rheology
Eigenvalues and eigenfunctions
Exact sciences and technology
Fluctuations
Fokker-Planck equations
Integral equations
Magnetic analysis
Magnetic field measurement
magnetic particle
Magnetic particles
Magnetism
Materials science
Nanoparticles
numerical analysis
Other topics in materials science
Physics
Saturation magnetization
Stochastic processes
White noise
Citations: Items that this one cites
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Description
Summary:We present a method to solve numerically the Fokker-Planck equation for a uniformly magnetized nanoparticle. This approach is an algebraic formulation scheme that uses integral variables associated with space and time elements. This new method is compared with a spectral collocation method, similar to that referenced in a previous article. The stationary distribution, the eigenvalues of the Fokker-Planck operator, and the self-covariance function obtained from the two approaches are compared. The numerically calculated stationary distributions are also checked against analytical results.
ISSN:0018-9464
1941-0069
DOI:10.1109/TMAG.2009.2031073