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Hopping Transport in Disordered Systems: Correlation Effects

Published online by Cambridge University Press:  21 February 2011

W. A. Curtin  and
H. Scher
W. A. Curtin
Affiliation:
BP America R&D, 4440 Warrensville Center Rd.. Cleveland, OH 44128
H. Scher
Affiliation:
BP America R&D, 4440 Warrensville Center Rd.. Cleveland, OH 44128
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Abstract

Starting from a Master Equation description of particle hopping between localized sites in a disordered system, we systematically analyze the influence of spatially-correlated hopping (memory) on the excitation transport. Correlations are introduced by accounting exactly for the hopping among a finite cluster of sites which are coupled in an uncorrelated manner to the remaining sites outside the cluster (background). Our results for quantities such as Ps(t). the probability of being at site s at time t for given initial conditions, compare well with simulation results on systems with both e−r and r−6 hopping rates, the agreement improving systematically with increasing cluster size. A simple interpretation of the time development of the cluster-background coupling is seen to be analogous to the overlapping-sphere construction of the percolation path.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 135: Symposium M – Solid State Ionics I , 1988 , 89
Copyright
Copyright © Materials Research Society 1989

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References

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