Eur. Phys. J. Spec. Top. (2022) 231: 1175-1180
https://doi.org/10.1140/epjs/s11734-022-00524-7

Regular Article

Gradient diffusion in ferrofluids with chain aggregates

¹ Laboratory of Multi-Scale Mathematical Modeling, Department of Theoretical and Mathematical Physics, Ural Federal University, Ekaterinburg, Russia
² Ural State Medical University, Ekaterinburg, Russia
³ Department of Mathematics, University of Manchester, Manchester, UK
⁴ Institute of Metal Physics of the Ural Branch of the Russian Academy of Sciences, Ekaterinburg, Russia

Received: 18 June 2021
Accepted: 3 March 2022
Published online: 19 March 2022

Abstract

The paper deals with the theoretical study of the effect of chain-like aggregates on the diffusion of magnetic particles in ferrofluids. Our analysis shows that the appearance of the chains leads to strong anisotropy of the diffusion transport—the diffusion coefficient in the direction of an applied magnetic field is significantly more than that in the perpendicular direction. Effects of the interchain interaction are taken into account.