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Random walks on disordered networks

Aste, T; (1997) Random walks on disordered networks. Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics , 55 (5 SUPPL.) pp. 6233-6236.

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Random walks are studied on disordered cellular networks in two- and three-dimensional spaces with arbitrary curvature. The coefficients of the evolution equation are calculated in terms of the structural properties of the cellular system. The effects of disorder and space curvature on the diffusion phenomena are investigated. In disordered systems the mean squared displacement is increased at short times and decreased at long ones, with respect to the ordered case. The asymptotic expression for the diffusion equation on hyperbolic cellular systems relates random walks on curved lattices to hyperbolic Brownian motion. © 1997 The American Physical Society.

Type: Article
Title: Random walks on disordered networks
UCL classification: UCL > School of BEAMS
UCL > School of BEAMS > Faculty of Engineering Science
URI: http://discovery.ucl.ac.uk/id/eprint/1360843
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