Abstract
Abstract Dynamical properties are studied of particles which perform random walks on square lattices, where a fraction c of the sites has been replaced by impurities. The latter may be either better conducting than the host, or worse conducting or even non-conducting. The quantities studied are the velocity autocorelation function, the return probability, the density of states and Burnett functions. The results include short-time, finite-time and long-time behavior. Prefactors of the long-time behavior are calculated up to second order in c . Comparison with numerical simulations is made. Different definitions of the diffusion coefficient (via the second moment of displacement, the return probability or the density of states) are shown to give different answers.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Physica A: Statistical Mechanics and its Applications
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
