Ejj. Vanrensburg et N. Madras, METROPOLIS MONTE-CARLO SIMULATION OF LATTICE ANIMALS, Journal of physics. A, mathematical and general, 30(23), 1997, pp. 8035-8066
We propose and study a metropolis Monte Carlo algorithm for the simula
tion of weighted lattice animals in Z(d) in the canonical ensemble (wi
th a fixed number of edges). We examine the implementation and perform
ance of the algorithm. Data obtained by sampling uniformly weighted an
imals, and animals weighted as critical-percolation clusters, are repo
rted and analysed. In particular, we estimate autocorrelation rimes an
d dynamical exponents to study the efficiency of the algorithm, and es
timate the metric and branch exponents of lattice animals in two and t
hree dimensions.