Statistical Physics

Ballistic random walker

We introduce and investigate the scaling properties of a random walker that moves allistically on a two-dimensional square lattice. The walker is scattered ~changes direction randomly! every time it reaches a previously unvisited site, and follows ballistic trajectories between two scattering events. The asymptotic properties of the density of unvisited sites and the diffusion exponent can be calculated using a mean-field theory. The obtained predictions are in good agreement with the results of extensive numerical simulations. In particular, we show that this random walk is subdiffusive.


More publications
A.-L. Barabási

Physical Review Letters 76, 3750–3753 (1996)

I. Daruka, J. Tersoff, A.-L. Barabási

Physical Review Letters 82, 2753–2756 (1999)

A.-L. Barabási

Computational Materials Science 6, 127-134 (1996)