Classical and Quantum, Lattice and Continuum Percolation
The concepts of percolation theory have been useful in describing the transport of matter or energy in condensed matter.1 Both lattice and continuum models have received considerable attention. For lattice problems, Monte Carlo simulation has been quite effective in determining critical thresholds and exponents. Alternatively, real-space renormalization group methods have also been successful.2 We have devised a renormalization group method, which is based on the finite-size scaling hypothesis,3 and which can be generalized easily to study quantum percolation (to be described below).
KeywordsPercolation Threshold Percolation Theory Renormalization Group Method Site Percolation Random Configuration
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- 3.M. N. Barber, in: Phase Transitions and Critical Phenomena, vol. 8, ed. C. Domb and J. Lebowitz. Academic, London, (1983).Google Scholar
- 5.M. P. Nightingale. Physica 83 A, 561 (1976).Google Scholar
- 9.J.G. Saven, J.R. Wright, J.L. Skinner, and B J. Berne, (unpublished).Google Scholar