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Phys. Rev. E 65, 026144 (2002) [6 pages]

Walker diffusion method for calculation of transport properties of finite composite systems

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Clinton DeW. Van Siclen*
Idaho National Engineering and Environmental Laboratory, Idaho Falls, Idaho 83415

Received 2 August 2001; published 25 January 2002

A heterogeneous medium may be represented by a scalar field of local transport coefficients (e.g., conductivity) or by a “resistor network” derived from that scalar field. In either case the effective (macroscopic) and local (microscopic) transport properties may be calculated by the walker diffusion method. Some sample calculations for disordered systems are presented to demonstrate the method.

© 2002 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.65.026144
DOI:
10.1103/PhysRevE.65.026144
PACS:
05.10.-a, 02.70.Rr, 05.60.Cd

*Email address: cvs@inel.gov