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Detailed calculations of the specific absorption rate (SAR) of a diluteassembly of iron oxide nanoparticles with effective uniaxial anisotropydispersed in a liquid are performed depending on the particle diameters, thealternating (ac) magnetic field amplitude and the liquid viscosity. For smalland moderate ac magnetic field amplitudes H0 with respect to particleanisotropy field Hk the SAR of the assembly as a function of the particlediameter passes through a characteristic maximum and then reaches a plateau,whereas for sufficiently large amplitudes, H0 ~ Hk, the SAR increasesmonotonically as a function of particle diameter. This difference is aconsequence of realization of viscous and magnetic oscillation modes forparticle unit magnetization vector and director for moderate and sufficientlylarge H0 values, respectively. It is found that the SAR of the assembly changesinversely with the viscosity only in a viscous mode, for nanoparticles ofsufficiently large diameters. In the developed magnetic mode the SAR of theassembly is practically independent of the viscosity, since in this case thenanoparticle director only weakly oscillates around the ac magnetic fielddirection. At moderate amplitudes of the ac magnetic field the SAR values ofthe assembly in the liquid and in the solid matrix are found to be close,except of the range of large particle diameters and sufficiently low viscosity.However, at large field amplitudes the SAR of randomly oriented assembly ofnanoparticles in a solid matrix is approximately two times less than that in aliquid, because a significant fraction of nanoparticles of the assembly in thesolid matrix is not optimally oriented with respect to the ac magnetic fielddirection. The conditions for the validity of the linear response theory havebeen clarified by comparison with the numerical simulation data.

Properties of Assembly of Superparamagnetic Nanoparticles in Viscous Liquid