We investigate the relationship between the transport properties ofordered and disordered two dimensional quantum percolation systemsand the spatial variations of the phase of the wave function. Whileoften only the spatial variations of the probability amplitudes arestudied in relation to...

This paper investigates whether spontaneous, stationary velocity fluctuations can lead to deviations from the regular Fickian diffusion. A kinematic analysis reveals that anomalous diffusion, both fast and slow, arises from long-tailed velocity auto-correlation functions (VACF). This infinite...

The eigenvalue spectra of the transition probability matrix for random walks traversing critically disordered clusters in three different types of percolation problems show that the random walker sees a developing Euclidean signature for short time scales as the local, full-coordination...