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Modelling transport in disordered media via diffusion on fractals

Hambly, B. and Jones, O. (2000) Modelling transport in disordered media via diffusion on fractals Mathematical and Computer Modelling, 31, (10-12), pp. 129-142. (doi:10.1016/S0895-7177(00)00080-7).

Record type: Article

Abstract

When viewed at an appropriate scale, a disordered medium can behave as if it is strictly less than three dimensional. As fractals typically have non-integer dimensions, they are natural models for disordered media, and diffusion on fractals can be used to model transport in disordered media. In particular, such diffusion processes can be used to obtain bounds on the fundamental solution to the heat equation on a fractal. In this paper we review the work in this area and describe how bounds on branching processes lead to bounds on heat kernels.

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More information

Published date: 2000
Keywords: disordered media, transport, fractals, diffusion, heat kernels
Organisations: Operational Research

Identifiers

Local EPrints ID: 29683
URI: http://eprints.soton.ac.uk/id/eprint/29683
ISSN: 0895-7177
PURE UUID: 078320fb-803f-4a59-96fa-16c7a9347b96

Catalogue record

Date deposited: 26 Jul 2006
Last modified: 17 Jul 2017 15:57

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Contributors

Author: B. Hambly
Author: O. Jones

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