398 research outputs found
Probability of Incipient Spanning Clusters in Critical Two-Dimensional Percolation
The probability of simultaneous occurence of at least k spanning clusters has
been studied by Monte Carlo simulations on the 2D square lattice at the bond
percolation threshold Pc=1/2. The calculated probabilities for free boundary
conditions and periodic boundary conditions are in a very good coincidence with
the exact formulae developed recently by Cardy.Comment: Contribution to Lattice 97, LaTeX, 3 pages, 4 figures (1-eps, 3-
LaTeX
On the quality of random number generators with taps
Recent exact analytical results developed for the random number generators
with taps are reported. These results are applicable to a wide class of
algorithms, including random walks, cluster algorithms, Ising models. Practical
considerations on the improvement of the quality of random numbers are
discussed as well.Comment: Conference on Computational Physics, Granada, Spain, 199
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