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We present results for transport properties (diffusion and viscosity) usingcomputer simulations. Focus is made on a densified binary sodium disilicate2SiO$_2$-Na$_2$O (NS2) liquid and on multicomponent magmatic liquids (MORB,basalt). In the NS2 liquid, results show that a certain number of anomaliesappear when the system is densified: the usual diffusivity maxima/minima isfound for the network-forming ions (Si,O) whereas the sodium atom displaysthree distinct r\'egimes for diffusion. Some of these features can becorrelated with the obtained viscosity anomaly under pressure, the latter beingbe fairly well reproduced from the simulated diffusion constant. In modelmagmas (MORB liquid), we find a plateau followed by a continuous increase ofthe viscosity with pressure. Finally, having computed both diffusion andviscosity independently, we can discuss the validity of the Eyring equation forviscosity which relates diffusion and viscosity. It is shown that it can beconsidered as valid in melts with a high viscosity. On the overall, theseresults highlight the difficulty of establishing a firm relationship betweendynamics, structure and thermodynamics in complex liquids.

Viscosity and viscosity anomalies of model silicates and magmas: a numerical investigation