Nonlinear behavior of magnetic fluid in brownian relaxation: Numerical simulation and derivation of empirical model

Takashi Yoshida; Keiji Enpuku

doi:10.1007/978-3-642-24133-8_2

Nonlinear behavior of magnetic fluid in brownian relaxation: Numerical simulation and derivation of empirical model

Takashi Yoshida, Keiji Enpuku

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

3 Citations (Scopus)

Abstract

Nonlinear Brownian relaxation of magnetic fluids for the case of large excitation field was studied in relation to its biomedical applications. The Fokker-Planck equation, which describes the nonlinear behavior of magnetic fluids, was solved by numerical simulation when ac field was applied. Frequency-dependences of the harmonics were investigated in terms of the effective Brownian relaxation time τ_eff, which was empirically obtained from the ac susceptibility of the fundamental component. It was shown that higher harmonics become small even at ωτ_eff=1 compared to each quasi-static harmonics amplitudes.

Original language	English
Title of host publication	Magnetic Particle Imaging - A Novel SPIO Nanoparticle Imaging Technique
Editors	Jorn Borgert, Thorsten M. Buzug
Publisher	Springer Science and Business Media, LLC
Pages	9-13
Number of pages	5
ISBN (Print)	9783642241321
DOIs	https://doi.org/10.1007/978-3-642-24133-8_2
Publication status	Published - Jan 1 2012
Event	2nd International Workshop on Magnetic Particle Imaging, IWMPI 2012 - Lubeck, Germany Duration: Mar 15 2012 → Mar 16 2012

Publication series

Name	Springer Proceedings in Physics
Volume	140
ISSN (Print)	0930-8989
ISSN (Electronic)	1867-4941

Other

Other	2nd International Workshop on Magnetic Particle Imaging, IWMPI 2012
Country	Germany
City	Lubeck
Period	3/15/12 → 3/16/12

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All Science Journal Classification (ASJC) codes

Physics and Astronomy(all)

Cite this

Yoshida, T., & Enpuku, K. (2012). Nonlinear behavior of magnetic fluid in brownian relaxation: Numerical simulation and derivation of empirical model. In J. Borgert, & T. M. Buzug (Eds.), Magnetic Particle Imaging - A Novel SPIO Nanoparticle Imaging Technique (pp. 9-13). (Springer Proceedings in Physics; Vol. 140). Springer Science and Business Media, LLC. https://doi.org/10.1007/978-3-642-24133-8_2

Nonlinear behavior of magnetic fluid in brownian relaxation : Numerical simulation and derivation of empirical model. / Yoshida, Takashi; Enpuku, Keiji.

Magnetic Particle Imaging - A Novel SPIO Nanoparticle Imaging Technique. ed. / Jorn Borgert; Thorsten M. Buzug. Springer Science and Business Media, LLC, 2012. p. 9-13 (Springer Proceedings in Physics; Vol. 140).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Yoshida, T & Enpuku, K 2012, Nonlinear behavior of magnetic fluid in brownian relaxation: Numerical simulation and derivation of empirical model. in J Borgert & TM Buzug (eds), Magnetic Particle Imaging - A Novel SPIO Nanoparticle Imaging Technique. Springer Proceedings in Physics, vol. 140, Springer Science and Business Media, LLC, pp. 9-13, 2nd International Workshop on Magnetic Particle Imaging, IWMPI 2012, Lubeck, Germany, 3/15/12. https://doi.org/10.1007/978-3-642-24133-8_2

Yoshida T, Enpuku K. Nonlinear behavior of magnetic fluid in brownian relaxation: Numerical simulation and derivation of empirical model. In Borgert J, Buzug TM, editors, Magnetic Particle Imaging - A Novel SPIO Nanoparticle Imaging Technique. Springer Science and Business Media, LLC. 2012. p. 9-13. (Springer Proceedings in Physics). https://doi.org/10.1007/978-3-642-24133-8_2

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Access to Document

10.1007/978-3-642-24133-8_2