Theoretical study of the dynamic magnetic response of ferrofluid to static and alternating magnetic fields / Batrudinov Timur M.,Ambarov Alexander V.,Elfimova Ekaterina A.,Zverev Vladimir S.,Ivanov Alexey O. // JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS. - 2017. - V. 431, l. . - P. 180-183.

ISSN/EISSN:

0304-8853 / 1873-4766

Type:

Article; Proceedings Paper

Abstract:

The dynamic magnetic response of ferrofluid in a static uniform external magnetic field to a weak, linear polarized, alternating magnetic field is investigated theoretically. The ferrofluid is modeled as a system of dipolar hard spheres, suspended in a long cylindrical tube whose long axis is parallel to the direction of the static and alternating magnetic fields. The theory is based on the Fokker-Planck-Brown equation formulated for the case when the both static and alternating magnetic fields are applied. The solution of the Fokker-Planck-Brown equation describing the orientational probability density of a randomly chosen dipolar particle is expressed as a series in terms of the spherical Legendre polynomials. The obtained analytical expression connecting three neighboring coefficients of the series makes possible to determine the probability density with any order of accuracy in terms of Legendre polynomials. The analytical formula for the probability density truncated at the first Legendre polynomial is evaluated and used for the calculation of the magnetization and dynamic susceptibility spectra. In the absence of the static magnetic field the presented theory gives the correct single-particle Debye-theory result, which is the exact solution of the Fokker-Planck-Brown equation for the case of applied weak alternating magnetic field. The influence of the static magnetic field on the dynamic susceptibility is analyzed in terms of the low-frequency behavior of the real part and the position of the peak in the imaginary part.

Author keywords:

Dynamic magnetic susceptibility spectra; Ferrofluid; The Fokker-Planck-Brown equation FLUIDS

DOI:

10.1016/j.jmmm.2016.09.094

Web of Science ID:

ISI:000399598600046

Соавторы в МНС:

Другие поля

Поле	Значение
Month	JUN 1
Note	14th International Conference on Magnetic Fluids (ICMF), Ekaterinburg, RUSSIA, JUL 04-08, 2016
Publisher	ELSEVIER SCIENCE BV
Address	PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS
Language	English
EISSN	1873-4766
Keywords-Plus	FLUIDS
Research-Areas	Materials Science; Physics
Web-of-Science-Categories	Materials Science, Multidisciplinary; Physics, Condensed Matter
Author-Email	Ekaterina.Elfimova@urfu.ru
ResearcherID-Numbers	Ivanov, Alexey/E-4442-2011 Elfimova, Ekaterina/P-5003-2016 Zverev, Vladimir/M-7382-2013
ORCID-Numbers	Ivanov, Alexey/0000-0001-8239-4039 Zverev, Vladimir/0000-0003-0422-1436 Elfimova, Ekaterian/0000-0002-8941-8184
Funding-Acknowledgement	Russian Science Foundation {[}15-12-10003]
Funding-Text	This research was supported by Russian Science Foundation, Grant no. 15-12-10003.
Number-of-Cited-References	17
Usage-Count-Last-180-days	5
Usage-Count-Since-2013	5
Journal-ISO	J. Magn. Magn. Mater.
Doc-Delivery-Number	ES5QV