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1990•Journal of Physics A Mathematical and GeneralRequires access

Scaling of the first-passage time of biased diffusion on hierarchical comb structures

Zhifang Lin, Ruibao Tao

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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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What this paper is about

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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Available 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.

Key concepts: Scaling, Statistical physics, Diffusion, Random walk, Anomalous diffusion, Continuous-time random walk, Mathematics, Physics

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