Diffusion microrheology of ferrofluids

R Peredo-Ortiz and M Hernandez-Contreras, REVISTA MEXICANA DE FISICA, 64, 82-93 (2018).

DOI: 10.31349/RevMexFis.64.82

We provide a statistical mechanics approach to study the linear microrheology of thermally equilibrated and homogeneous ferrofluids. The expressions for the elastic and loss moduli depend on the bulk microstructure of the magnetic fluid determined by the structure factor of the suspension of magnetic particles. The comparison of the predicted microrheology with computer simulations confirms that as a function of relaxation frequency of thermal fluctuations of the particle concentration both theory and simulations have the same trends. At very short frequencies the viscous modulus relates to the translational and rotational self-diffusion coefficients of a ferro-particle.

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