A model of diffusion in one dimension, with a hierarchical pattern of hopping rates, is studied by an exact renormalisation method. Non-universal time scaling exponents are obtained for the autocorrelation function, range and average diffusion distance.
Exact renormalisation group approach to ultradiffusion in a hierarchical structure
MARITAN, AMOS;STELLA, ATTILIO
1986
Abstract
A model of diffusion in one dimension, with a hierarchical pattern of hopping rates, is studied by an exact renormalisation method. Non-universal time scaling exponents are obtained for the autocorrelation function, range and average diffusion distance.
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