Diffusion on percolation clusters with a bias in topological space: non-universal behaviour
- 1 August 1986
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 19 (11) , L693-L698
- https://doi.org/10.1088/0305-4470/19/11/008
Abstract
The authors study diffusion on the infinite percolation clusters above the percolation threshold, p>pc, under the influence of a constant bias field E in topological space ('topological bias'). They find that above a critical bias field Ec(p) diffusion is anomalous and non-universal: the diffusion exponent dwl increases with E as dwl=A(p) mod ln((1-E)/(1+E)) mod , while A(p) decreases monotonically with concentration p. This intrinsic anomalous behaviour is supported in a wide range of concentrations p>pc by extensive numerical simulations using the exact enumeration method.Keywords
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