Equilibrium Times for the Multicanonical Method
arXiv:cond-mat/0402191 · doi:10.1142/S0129183104005851
Abstract
This work measures the time to equilibrium for the multicanonical method on the 2D-Ising system by using a new criterion, proposed here, to find the time to equilibrium, teq, of any sampling procedure based on a Markov process. Our new procedure gives the same results that the usual one, based on the magnetization, for the canonical Metropolis sampling on a 2D-Ising model at several temperatures. For the multicanonical method we found a power-law relationship with the system size, L, of teq=0.27(15) L^2.80(13), and with the number of energy levels to explore, kE, of teq=0.7(13) kE^1.40(11), in perfect agreement with the result just above. In addition, some kind of critical slowing down was observed around the critical energy. Our new procedure is completely general, and can be applied to any sampling method based on a Markov process.
7 pages, 5 eps figures, to be published in Int. J. Mod. Phys. C
References in corpus (5)
- Multicanonical Ensemble: A New Approach to Simulate First-order Phase Transitions
- Multicanonical Simulations Step by Step
- About the Functional Form of the Parisi Overlap Distribution for the Three-Dimensional Edwards-Anderson Ising Spin Glass
- Entropy-based analysis of the number partitioning problem
- Structure of the Energy Landscape of Short Peptides