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Simulation of diffusion in 2-D heterogeneous systems: comparison with effective medium and percolation theories

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  • Schlicht, Lutz
  • Ilgenfritz, Georg

Abstract

We report Monte Carlo simulations of the conductivity of a two-dimensional static system of non-overlapping, non- or weakly conducting discs in a conducting medium. The conductivity is evaluated using the “blind ant” diffusion algorithm. We investigate the dependence of the conductivity on (i) the size, (ii) the area fraction and (iii) the conductivity of the discs.

Suggested Citation

  • Schlicht, Lutz & Ilgenfritz, Georg, 1996. "Simulation of diffusion in 2-D heterogeneous systems: comparison with effective medium and percolation theories," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 227(3), pages 239-247.
  • Handle: RePEc:eee:phsmap:v:227:y:1996:i:3:p:239-247
    DOI: 10.1016/0378-4371(95)00407-6
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    1. Forster, Bruce A., 1981. "Separability, functional structure and aggregation for a class of models in environmental economics," Journal of Environmental Economics and Management, Elsevier, vol. 8(2), pages 118-133, June.
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