Probability distribution functions of sub- and super-diffusive systems

Abstract

We study the anomalous transport in systems of random walks (RW's) on comb-like lattices with fractal sidebranches, showing subdiffusion, and in a system of Brownian particles driven by a random shear along the x-direction, showing a superdiffusive behavior. In particular, we discuss whether scaling and universality are present or not in the shapes of the particle distribution along the preferential transport direction (x-axis).

arXiv commentlatex: 13 pages, 9 pdf figures, regular article

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• Normal and anomalous diffusion in a bouncing ball over an irregular surface
• Investigation of Plasma Mixing Processes in the Context of Indirect Drive Inertial Confinement Fusion
• Universal and non-universal signatures in the scaling functions of critical variables
• Behavior of correlation functions in the dynamics of the Multiparticle Quantum Arnol'd Cat