A computational method was proposed for simulating anomalous self-diffusion in a simple liquid. The method was based upon a molecular dynamics simulation, upon which were imposed two conditions. Firstly, interparticle interaction was described by using a soft-core potential. Secondly, the system was forced out of equilibrium. The latter was achieved by intermittently subjecting the system to changes in the length scale. The present system resembled slowly driven sand-pile models displaying self-organized criticality. Non-Gaussian single time-step displacement distributions were found during out-of-equilibrium periods of the simulation.

Creating the Conditions of Anomalous Self-Diffusion in a Liquid with Molecular Dynamics. Standaert, S., Ryckebusch, J., De Cruz, L.: Journal of Statistical Mechanics, 2010, 2010[4], P04004