Ballistic random walker

Patrici Molinàs-Mata, M. A. Muñoz, Daniel O. Martínez, Albert László Barabási

Research output: Contribution to journalArticlepeer-review

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 languageEnglish
Pages (from-to)968-971
Number of pages4
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume54
Issue number1
DOIs
StatePublished - 1996
Externally publishedYes

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