Influence of internal structures on the kinetics of magnetization reversary of ferrofluids

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Abstract

The paper presents the results of computer modeling of structure formation in nanodispersed magnetic fluids and the influence of this process on the kinetics of their magnetization reversal. A system of identical spherical single-domain ferromagnetic particles suspended in a Newtonian fluid with magnetic moments “frozen” into their bodies is considered. The particles are involved in intense Brownian motion. The magnetic interaction of all particles with all, as well as with an external magnetic field, is considered.

The results show that the evolution of internal structures with a change in the external field can greatly, by several orders of magnitude, change the characteristic time of magnetization reversal of a ferrofluid. The results obtained can be useful for the development of both the general theory of these systems and many methods of their high-tech application.

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About the authors

D. N. Chirikov

Уральский федеральный университет имени Первого Президента России Б. Н. Ельцина

Author for correspondence.
Email: d.n.chirikov@urfu.ru
Russian Federation, ул. Мира, 19, Екатеринбург, 620002

A. Yu. Zubarev

Уральский федеральный университет имени Первого Президента России Б. Н. Ельцина

Email: d.n.chirikov@urfu.ru
Russian Federation, ул. Мира, 19, Екатеринбург, 620002

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Supplementary files

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2. Fig. 1. Screenshots of heterogeneous structures formed by particles in an external field. Characteristics of the system: dipole-dipole interaction parameter between magnetic particles λ = 7; their volume concentration φ = 0.5% (a, b), φ = 6% (c, d); particle magnetic moment m = 1.1∙10–18 A∙m2; temperature T = 298 K. (a, c) – magnetic field strength H = 0.1 kA/m (Langevin parameter κ = 0.0336); (b, d) – H = 1 kA/m (κ = 0.336).

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3. Fig. 2. Dependences of the average magnetization of one particle (a) and the natural logarithm of the relative magnetization (b) of the particle system on time t. The vertical segments show the standard deviation from the mean. System characteristics: viscosity of the carrier medium η = 0.13 Pa sec; saturation magnetization of the particle material Ms = 5 105 A/m (magnetite); volume concentration of particles φ = 0.5%; temperature T = 298 K; particle diameter d = 16 nm; dipole-dipole interaction parameter λ = 7; the Langevin parameter κ increases from 0.0336 to 0.336. The solid line in Fig. (b) is the linear regression (16).

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4. Fig. 3. The same as in Fig. 2 at λ = 5. The particle diameter d = 14.4 nm; the Langevin parameter κ increases from 0.024 to 0.24.

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5. Fig. 4. The same as in Fig. 3 with a decrease in the dimensionless magnetic field κ from 0.24 to 0.024, which for the selected system parameters corresponds to a decrease in the magnetic field strength H from 1 kA/m to 0.1 kA/m.

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6. Fig. 5. Magnetization of ferrofluid depending on time at λ = 0. The diameter of magnetite particles d = 16 nm. Other parameters are the same as in Fig. 2. Solid lines are theoretical results obtained using (14). (a) – Langevin parameter κ increases from 0.0336 to 0.336 (magnetic field H increases stepwise from 0.1 kA/m to 1 kA/m); (b) – κ decreases from 0.336 to 0.0336 (H decreases stepwise from 1 kA/m to 0.1 kA/m).

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7. Fig. 6. Dependence of the relaxation time τR on the volume concentration of magnetite particles. The magnetic field H increases from 0.1 kA/m to 1 kA/m; temperature T = 298 K. (a) – dipole-dipole interaction parameter λ = 5; Langevin parameter κ increases from 0.024 to 0.24; particle diameter d = 14.4 nm; (b) – λ = 6; κ increases from 0.0288 to 0.288; d = 15.3 nm.

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8. Appendix
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