ISSN:
1434-6036
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract Monte Carlo simulation and “series expansion” shows the radius of gyration of large clusters withs sites each to vary ass ρ withρ≃0.56 in two andρ≃0.47 in three dimensions at the percolation threshold, and withρ(d=2)≃0.65 andρ(d=3)≃0.53 for random lattice animals (zero concentration). Clusters up tos=100 were used. The perimeter of random animals approaches 2.8s for larges on the simple cubic lattice. Monte Carlo simulation of the Eden process (“growing animals”) up tos=5,000 indicates a systematic variation of about ±0.05 for the effective exponentρ=ρ(s) and thus suggests that the true asymptotic exponents may be compatible with the predictions of “hyper”-scaling.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01325205
