Magnetic susceptibility, nanorheology, and magnetoviscosity of magnetic nanoparticles in viscoelastic environments

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Ilg, P. ORCID: https://orcid.org/0000-0002-7518-5543 and Evangelopoulos, A. (2018) Magnetic susceptibility, nanorheology, and magnetoviscosity of magnetic nanoparticles in viscoelastic environments. Physical Review E, 97 (3). 032610. ISSN 1539-3755 doi: 10.1103/PhysRevE.97.032610

Abstract/Summary

While magnetic nanoparticles suspended in Newtonian solvents (ferrofluids) have been intensively studied in recent years, the effects of viscoelasticity of the surrounding medium on the nanoparticle dynamics are much less understood. Here we investigate a mesoscopic model for the orientational dynamics of isolated magnetic nanoparticles subject to external fields, viscous and viscoelastic friction as well as the corresponding random torques. We solve the model analytically in the overdamped limit for weak viscoelasticity. By comparison to Brownian Dynamics simulations we establish the limits of validity of the analytical solution. We find that viscoelasticity does not only slow down the magnetization relaxation, shift the peak of the imaginary magnetic susceptibility $\chi''$ to lower frequencies and increase the magnetoviscosity, it also leads to non-exponential relaxation and a broadening of $\chi''$. The model we study also allows to test a recent proposal for using magnetic susceptibility measurements as a nanorheological tool using a variant of the Germant-DiMarzio-Bishop relation. We find for the present model and certain parameter ranges that the relation of the magnetic susceptibility to the shear modulus is satisfied to a good approximation.

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Item Type	Article
URI	https://reading-clone.eprints-hosting.org/id/eprint/76122
Identification Number/DOI	10.1103/PhysRevE.97.032610
Refereed	Yes
Divisions	Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics
Publisher	American Physical Society
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Funders:	European Commission	The sponsoring bodies who contributed funding for the creation of this item. Example: NERC Example: The Royal Society of Chemistry A pick list of funders may appear as you type in the funder's name in full or as an acronym. Select a correct match to complete the field or type in a new entry in full. For new entries, the full name is preferred.
Projects:	Systematic and thermodynamically consistent coarse graining the flow of complex fluids (CGcomplexfluidflow) Funded by: European Commission (FP7-PEOPLE-2013-CIG - £74,074) Local Lead (PI): Patrick Ilg 1 March 2014 - 28 February 2018	Click Add to select your project (received at Reading) from an autocomplete list.

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Date Deposited:	28 Mar 2018 09:30	Date item deposited into CentAUR
Last Modified:	23 Mar 2025 01:41	Date item last modified

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