Marcel V. S. Santos, Cassia C. Donato, Ismael V. L. Costa and Fernando A. Oliveira

In this work we used a previous theory [R. Morgado, F.A. Oliveira, G.G. Batrouni, and A. Hansen, Phys. Rev. Lett. 89, 100601 (2002)] to explain and resolve the non-stationary diffusive problem studied by Srokowski [T.E. Srokowski, Phys. Rev. Lett. 85, 2232 (2000); Phys. Rev. E 64, 31102 (2001)]. In order to do that, we have used the generalized Langevin's formalism to develop a computational algorithm and treat the problem numerically. To confirm the result of the method, an analytical alternative utilizing the final value theorem for Laplace transforms was derived and both results were compared. After all, it was presented a final characterization to the anomalous diffusive system in question through the calculation of some parameters like correlation function, diffusion coefficient and mean square displacement.

Anomalous diffusion, memory function, correlation function.

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