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Dynamical properties of 2D systems with site disorder

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  • Nieuwenhuizen, Th.M.

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properties are studied of particles which perform random walks on square lattices, where a fraction c of the sites has been replaced by impurities.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.

Suggested Citation

  • Nieuwenhuizen, Th.M., 1989. "Dynamical properties of 2D systems with site disorder," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 157(3), pages 1101-1138.
    • Handle: RePEc:eee:phsmap:v:157:y:1989:i:3:p:1101-1138
    DOI: 10.1016/0378-4371(89)90036-8
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    Cited by:

    1. Mello, Pier A. & Robledo, Alberto, 1993. "Strongly coupled Ising chain under a weak random field," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 199(3), pages 363-386.

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