Continuum percolation conductivity exponents in restricted domains |
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| Authors: | Brian Berkowitz Rosemary Knight |
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| Affiliation: | (1) Department of Environmental Sciences and Energy Research, Weizmann Institute of Science, 76100 Rehovot, Israel;(2) Department of Geophysics and Astronomy, and Department of Geological Sciences, University of British Columbia, V6T 1Z4 Vancouver, British Columbia, Canada |
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| Abstract: | Conductivity behavior of continuum percolation in restricted two-dimensional domains is simulated by considering systems of randomly distributed disks. The domain is restricted in that conducting objects are permitted to lie in only a portion of the domain. Such a restricted domain might better approximate some natural systems. Simulations of two-dimensional systems, based on three distributions of local conductances, are examined and found to demonstrate a power-law behavior with conductivity exponents smaller than those arising in regular lattice and continuum percolation |
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| Keywords: | Percolation restricted domains conductivity exponents Monte Carlo conductance distribution |
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