A Monte Carlo study of scaling and universality in 2D directed percolation
- 11 September 1984
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 17 (13) , 2651-2665
- https://doi.org/10.1088/0305-4470/17/13/017
Abstract
Monte Carlo data for the pair correlation function is obtained on five different lattices for the directed percolation problem in two dimensions. Scaling is tested and found to hold beyond 20 lattice spacings for all models. Evidence is found to support the universality of the scaling function. The values of the exponents gamma /v/sub /// and vperpendicular to /v/sub /// are extracted from the data; the results for all models are summarised by gamma /v/sub ///=1.305+or-0.007 and vperpendicular to /v/sub ///=0.629+or-0.010. Comparison is made with estimates derived by other means.Keywords
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