37 citations · 386 across the 41 of their papers we have counts for
4 papers · 1 filter
Lévy walks on lattices as multi-state processes
Giampaolo Cristadoro, Thomas Gilbert, Marco Lenci +1
Continuous-time random walks combining diffusive scattering and ballistic propagation on lattices model a class of Lévy walks. The assumption that transitions in the scattering pha…
Machta-Zwanzig regime of anomalous diffusion in infinite-horizon billiards
Giampaolo Cristadoro, Thomas Gilbert, Marco Lenci +1
We study diffusion on a periodic billiard table with infinite horizon in the limit of narrow corridors. An effective trapping mechanism emerges according to which the process can b…
Transport properties of Lévy walks: an analysis in terms of multistate processes
Giampaolo Cristadoro, Thomas Gilbert, Marco Lenci +1
Continuous time random walks combining diffusive and ballistic regimes are introduced to describe a class of Lévy walks on lattices. By including exponentially-distributed waiting…
Measuring logarithmic corrections to normal diffusion in infinite-horizon billiards
Giampaolo Cristadoro, Thomas Gilbert, Marco Lenci +1
We perform numerical measurements of the moments of the position of a tracer particle in a two-dimensional periodic billiard model (Lorentz gas) with infinite corridors. This model…