Probability distribution functions of sub- and superdiffusive systems
Fabio Cecconi, Giulio Costantini, Alessandro Taloni, Angelo Vulpiani
Abstract
We study the anomalous transport in systems of random walks on comblike 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).
Topics & Concepts
Statistical physicsBrownian motionScalingFractalUniversality (dynamical systems)Random walkPhysicsDistribution (mathematics)MathematicsMathematical analysisGeometryCondensed matter physicsQuantum mechanicsStatisticsTheoretical and Computational PhysicsFractional Differential Equations SolutionsStochastic processes and statistical mechanics