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

Research output: Contribution to journalArticle (Academic Journal)

93 Downloads (Pure)

Abstract

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.

Original languageEnglish
Pages (from-to)1240-1262
Number of pages23
JournalJournal of Statistical Physics
Volume177
Issue number6
Early online date7 Nov 2019
DOIs
Publication statusPublished - Dec 2019

Keywords

  • superdiffusion
  • momentum transport
  • random walk with memory

Fingerprint Dive into the research topics of 'Diffusion and Superdiffusion in Lattice Models for Colliding Particles with Stored Momentum'. Together they form a unique fingerprint.

  • Cite this