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Nonlinear Magnetic Response of a Viscoelastic Ferrocolloid: Effective Field Approximation

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Abstract

A viscoelastic ferrocolloid has been probed with the use of a weak alternating magnetic field, which causes rotational oscillations of nanoparticles. The rheology of the dispersion medium has been described using Jeffry’s phenomenological scheme, according to which, colloidal particles are assumed to be magnetically rigid. The Langevin equations that describe the Brownian rotational motion have been used to derive a set of equations for the dynamic magnetization and orientation kinetics of a colloidal ensemble. The solution of the problem has been obtained by the effective field method. The linear and cubic dynamic magnetic susceptibilities, as well as the orientational response of the system, have been found. It has been shown that, in the spectra of the responses of all orders, from linear to cubic ones, the effects of mechanical retardation (stress relaxation) lead to the appearance of specific features, namely, an increase in the medium elasticity is accompanied by variations in the position and height of the main maximum. Expressions have been proposed to relate the rheological parameters of the used Jeffry’s model with the structural characteristics of a polymer solution, i.e., the number of monomers in a macromolecule, the blob size, and the concentration of the physical network nodes.

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Funding

This work was performed within the framework of project no. АААА-А20-120020690030-5.

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Authors and Affiliations

  1. Institute of Mechanics of Continua, Ural Branch, Russian Academy of Sciences, 614068, Perm, Russia

    V. V. Rusakov & Yu. L. Raikher

  2. Perm National Research Polytechnical University, 614000, Perm, Russia

    V. V. Rusakov

Authors
  1. V. V. Rusakov
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  2. Yu. L. Raikher
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Correspondence to V. V. Rusakov.

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The authors declare that they have no conflict of interest.

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Translated by A. Kirilin

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Rusakov, V.V., Raikher, Y.L. Nonlinear Magnetic Response of a Viscoelastic Ferrocolloid: Effective Field Approximation. Colloid J 83, 116–126 (2021). https://doi.org/10.1134/S1061933X21010117

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  • DOI: https://doi.org/10.1134/S1061933X21010117

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