DOI: https://doi.org/10.30970/jps.01.413
MONTE CARLO SIMULATION OF DIFFUSION ON THE CUBIC PERCOLATION LATTICE ABOVE THE THRESHOLD
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Journal of Physical Studies 1(3), 413–417 (1997)
DOI: https://doi.org/10.30970/jps.01.413 MONTE CARLO SIMULATION OF DIFFUSION ON THE CUBIC PERCOLATION LATTICE ABOVE THE THRESHOLD |
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O. J. Poole
School of Mathematical Studies University of Portsmouth,
Portsmouth, PO1 2EG, England
E-mail: poole@sms.port.ac.uk
Recent work on the square percolation lattice resolved the discrepancy that existed between the scaling behaviour of percolation diffusion and the conductivity of the associated random resistor network. This discrepancy is first recalled, then attention is directed to the cubic percolation lattice where diffusion is again shown to scale with the same critical exponent as the lattice conductivity. This is the first time the scaling behaviour of diffusion and conduction on the cubic lattice have been reconciled. Finally, evidence is presented which suggests that the relaxation rate of percolation diffusion has scaling behaviour with a scaling exponent similar in value to that which governs the correlation length of the lattice.