A combination of Monte Carlo and transfer matrix methods to study 2D and 3D percolation
- 1 January 1985
- journal article
- Published by EDP Sciences in Journal de Physique
- Vol. 46 (7) , 1043-1057
- https://doi.org/10.1051/jphys:019850046070104300
Abstract
In this paper we develop a method which combines the transfer matrix and the Monte Carlo methods to study the problem of site percolation in 2 and 3 dimensions. We use this method to calculate the properties of strips (2D) and bars (3D). Using a finite size scaling analysis, we obtain estimates of the threshold and of the exponents which confirm values already known. We discuss the advantages and the limitations of our method by comparing it with usual Monte Carlo calculationsKeywords
This publication has 7 references indexed in Scilit:
- Transfer matrix calculation of conductivity in three-dimensional random resistor networks at percolation thresholdJournal de Physique Lettres, 1983
- Finite-size scaling and phenomenological renormalization (invited)Journal of Applied Physics, 1982
- Application of the phenomenological renormalization to percolation and lattice animals in dimension 2Journal de Physique, 1982
- Transfer-matrix approach to percolation and phenomenological renormalizationJournal de Physique Lettres, 1980
- Cluster Phenomena and the Displacive to Order-Disorder CrossoverPhysical Review Letters, 1979
- Scaling theory of percolation clustersPhysics Reports, 1979
- Critical Exponents for the-Vector Model in Three Dimensions from Field TheoryPhysical Review Letters, 1977