Abstract (may include machine translation)
We introduce and investigate the scaling properties of a random walker that moves ballistically 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.
| Original language | English |
|---|---|
| Pages (from-to) | 968-971 |
| Number of pages | 4 |
| Journal | Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics |
| Volume | 54 |
| Issue number | 1 |
| DOIs | |
| State | Published - 1996 |
| Externally published | Yes |