Diffusion in disordered lattices and related Heisenberg ferromagnets

Details Diffusion in disordered lattices and related Heisenberg ferromagnets Diffusion in disordered lattices and related Heisenberg ferromagnets

1999-08-03

arxiv.org/abs/cond-mat/9908051v1

Phys. Rev. E61, 324 (2000)

Physics

Condensed Matter

Statistical Mechanics

26 pages, LaTeX, 1 Postscript figure

Scientific paper

10.1103/PhysRevE.61.324

We study the diffusion of classical hard-core particles in disordered lattices within the formalism of a quantum spin representation. This analogy enables an exact treatment of non-instantaneous correlation functions at finite particle densities in terms of single spin excitations in disordered ferromagnetic backgrounds. Applications to diluted chains and percolation clusters are discussed. It is found that density fluctuations in the former exhibit a stretched exponential decay while an anomalous power law asymptotic decay is conjectured for the latter.

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