Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
1992-07-21
Int.J.Mod.Phys. C3 (1992) 1251-1274
Physics
High Energy Physics
High Energy Physics - Lattice
24 pages
Scientific paper
We report a Monte Carlo simulation of the $2D$ Edwards-Anderson spin glass model within the recently introduced multicanonical ensemble. Replica on lattices of size $L^2$ up to $L=48$ are investigated. Once a true groundstate is found, we are able to give a lower bound on the number of statistically independent groundstates sampled. Temperature dependence of the energy, entropy and other quantities of interest are easily calculable. In particular we report the groundstate results. Computations involving the spin glass order parameter are more tedious. Our data indicate that the large $L$ increase of the ergodicity time is reduced to an approximately $V^3$ power law. Altogether the results suggest that the multicanonical ensemble improves the situation of simulations for spin glasses and other systems which have to cope with similar problems of conflicting constraints.
Berg Bernd A.
Çelik Tarık
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