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
R. Albert, A.-L. Barabási, N Carle, A. Dougherty

Physical Review Letters 81, 2926-2929 (1998)

A.-L. Barabási, R. Albert, P. Schiffer

Physica A 266, 366-371 (1999)

P. Jensen, A.-L. Barabási, H. Larralde, S. Havlin, H.E. Stanley

Fractals 4, 321–329 (1996)