Phys. Rev. B 34, 3540–3542 (1986)Nonuniversality of diffusion exponents in percolation systems
We study diffusion on the incipient infinite percolation cluster in d=2 with a power-law distribution of transition rates P(W)∼W-α, α<1. Using the exact enumeration method we find that the diffusion exponent d̅ w(α) sticks at its α=-∞ value for α≦0. For α>0, d̅ w is bounded by df+1/[(1-α)ν]≦d̅ w(α)≦d̅ w(-∞)+α/[(1-α)ν]. Specifically, for small α our numerical results are close to the upper bound, while for larger α they are close to the lower bound. © 1986 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevB.34.3540
DOI:
10.1103/PhysRevB.34.3540
PACS:
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