I. Andricioaei et Je. Staub, AN EFFICIENT MONTE-CARLO ALGORITHM FOR OVERCOMING BROKEN ERGODICITY IN THE SIMULATION OF SPIN SYSTEMS, Physica. A, 247(1-4), 1997, pp. 553-558
A new Monte Carlo algorithm which provides enhanced sampling in the ca
lculation of equilibrium thermodynamic properties of spin systems is p
resented. The algorithm proposed performs trial moves based on the gen
eralized statistical distributions derived from a modification of the
Gibbs-Shannon entropy by Tsallis. Results for a two-dimensional Ising
model demonstrate that the algorithm leads to a greatly enhanced rate
of barrier crossing and convergence in the calculation of equilibrium
thermodynamic averages. Comparison is made with standard Metropolis Mo
nte Carlo.