Scaling of the first-passage time of biased diffusion on hierarchical comb structures
Journal of Physics A Mathematical and General1990Vol. 23(1), pp. L29–L34
Abstract
Biased diffusion on hierarchical comb structures is studied within an exact renormalisation group scheme. The scaling exponents of the moments of the first-passage time for random walks are obtained. It is found that the scaling properties of the diffusion depend only on the direction of bias. In a particular case, the presence of bias may give rise to a new multifractality.
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