TY - JOUR

T1 - Biased diffusion in percolation systems

T2 - Indication of multifractal behaviour

AU - Bunde, A.

AU - Harder, H.

AU - Havlin, S.

AU - Eduardo Roman, H.

PY - 1987

Y1 - 1987

N2 - The authors study diffusion in percolation systems at criticality in the presence of a constant bias field E. Using the exact enumeration method they show that the mean displacement of a random walker varies as (r(t)) approximately log t/A(E) where A/(E)=In((1+E)/(1-E)) for small E. More generally, diffusion on a given configuration is characterised by the probability P(r,t) that the random walker is on site r at time t. They find that the corresponding configurational average shows simple scaling behaviour and is described by a single exponent. In contrast their numerical results indicate that the averaged moments (Pq(t))= Sigma rP q(r,t)) are described by an infinite hierarchy of exponents. For zero bias field, however, all moments are determined by a single gap exponent.

AB - The authors study diffusion in percolation systems at criticality in the presence of a constant bias field E. Using the exact enumeration method they show that the mean displacement of a random walker varies as (r(t)) approximately log t/A(E) where A/(E)=In((1+E)/(1-E)) for small E. More generally, diffusion on a given configuration is characterised by the probability P(r,t) that the random walker is on site r at time t. They find that the corresponding configurational average shows simple scaling behaviour and is described by a single exponent. In contrast their numerical results indicate that the averaged moments (Pq(t))= Sigma rP q(r,t)) are described by an infinite hierarchy of exponents. For zero bias field, however, all moments are determined by a single gap exponent.

UR - http://www.scopus.com/inward/record.url?scp=0009363650&partnerID=8YFLogxK

U2 - 10.1088/0305-4470/20/13/010

DO - 10.1088/0305-4470/20/13/010

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AN - SCOPUS:0009363650

SN - 0305-4470

VL - 20

SP - L865-L871

JO - Journal of Physics A: General Physics

JF - Journal of Physics A: General Physics

IS - 13

M1 - 010

ER -