# Berlin 2015 – wissenschaftliches Programm

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# CPP: Fachverband Chemische Physik und Polymerphysik

## CPP 13: Focus: Field Controllable Functional Polymers II

### CPP 13.10: Vortrag

### Montag, 16. März 2015, 17:45–18:00, C 264

**The study of the diffusion coefficient in the magnetic fluids: theory and computer simulation** — •Alla Muratova^{1} and Sofia Kantorovich^{1, 2} — ^{1}Ural Federal University, Lenin av. 51, 620000, Ekaterinburg, Russia — ^{2}University of Vienna, Sensengasse 8, 1090, Vienna, Austria

We present the results on the mobility and diffusion coefficients in the systems of magnetic dipolar particles. Of course, there were several attempts to study diffusion [Yu. A. Buyevich et al., Physica. A 190, 276 (1992); P. Ilg, Phys. Rev. E 71, 051407 (2005); J. Jordanovic et al., Phys. Rev. Lett. 106, 038301 (2011)], but the detailed theoretical description is still missing. We consider the ferrofluids with chain aggregates of dipolar spheres. In our study, we combine theoretical approach and computer simulation. In theoretical study, we use Density Functional Approach to obtain the chain concentrations. Then we can calculate the mobility and diffusion coefficients. We know that the self-diffusion coefficient decreases with growing particle volume fraction and dipole-dipole magnetic interaction parameter in the three-dimensional samples of magnetic fluids. In this case, we have good agreement between the theory and computer simulation. So we can expand our theory to the cases of bidisperse ferrofluids and magnetic fluids with geometrical constraints. Thus, we study how the mobility and diffusion coefficients depend on the system polydispersity, granulometric composition, geometrical constraints and dipolar stregths.