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Diffusion and Superdiffusion in Lattice Models for Colliding Particles with Stored Momentum

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Original languageEnglish
Pages (from-to)1240-1262
Number of pages23
JournalJournal of Statistical Physics
Issue number6
Early online date7 Nov 2019
DateAccepted/In press - 24 Oct 2019
DateE-pub ahead of print - 7 Nov 2019
DatePublished (current) - 1 Dec 2019


We introduce two discrete models of a collection of colliding particles with stored momentum and study the asymptotic growth of the mean-square displacement of an active particle. We prove that the models are superdiffusive in one dimension (with power law correction) and diffusive in three and higher dimensions. In two dimensions we demonstrate superdiffusivity (with logarithmic correction) for certain anisotropic initial conditions.

    Research areas

  • superdiffusion, momentum transport, random walk with memory

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