Magnetization dynamics of a suspension of non-interacting magnetic particles under the presence of static uniform magnetic field

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Abstract

The time process of the magnetization growth of a suspension of non-interacting magnetic particles is studied theoretically under the condition when this process starts developing switching on an external constant uniform magnetic field. It is found that the characteristic relaxation time of the process has the same value at the initial stage and at the final stage of reaching the equilibrium value of the magnetization and contains a minimum in the region of intermediate times.

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About the authors

A. O. Ivanov

Ural Federal University

Author for correspondence.
Email: Alexey.Ivanov@urfu.ru
Russian Federation, Ekaterinburg

I. M. Subbotin

Ural Federal University

Email: Alexey.Ivanov@urfu.ru
Russian Federation, Ekaterinburg

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Supplementary files

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2. Fig. 1. Time curves of the growth of the dimensionless magnetization M(t)/ρm for different values ​​of the applied magnetic field strength, given in units of the Langevin parameter: α = 1 (blue circles, blue curve 1), α = 3 (red triangles, red curve 2), α = 5 (green diamonds, green curve 3), α = 10 (black squares, black curve 4). The symbols indicate the results of the numerical solution of the system of equations (4), the curves correspond to the approximate analytical solution (20).

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3. Fig. 2. Dependence of the effective relaxation time Te (red solid curve 1) on the strength of the applied constant uniform magnetic field, expressed in units of the Langevin parameter α, in comparison with a similar dependence of the time TYE (blue dotted curve 2), empirically proposed in [36].

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4. Fig. 3. The time dependence τe(t)/Te calculated numerically according to expression (21) for different values ​​of the applied magnetic field strength expressed in units of the Langevin parameter: α = 1 (blue circles), α = 3 (red triangles), α = 5 (green diamonds). The dotted curves indicate the predictions of the asymptotics of small times (10). Starting from the characteristic times t ~ 3τB, the effective time τe (t) begins to increase, reaching asymptotically the value Te (19) in the limit t → ∞. This limit cannot be correctly calculated numerically using a finite number of equations of system (4).

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