Multicanonical Cluster Algorithm and the 2-D 7-State Potts Model

Details Multicanonical Cluster Algorithm and the 2-D 7-State Potts Model Multicanonical Cluster Algorithm and the 2-D 7-State Potts Model

1992-09-25

arxiv.org/abs/hep-lat/9209024v1

Nucl.Phys. B390 (1993) 621-636

Physics

High Energy Physics

High Energy Physics - Lattice

14 pages, 8 ps-figures, the flashy one missing to save space+troubles, sorry, the whole thing available from the author. Prepr

Scientific paper

10.1016/0550-3213(93)90491-7

I present a hybrid-like two-step algorithm, which combines a microcanonical update of a spin system using demons, with a multicanonical demon refresh. The algorithm is free from the supercritical slowing down that burdens the canonical methods: the exponential increase of the tunnelling time between the metastable states in the first-order phase transitions, when the volume of the system is increased. The demons act as a buffer between the multicanonical heat bath and the spin system, allowing the spin system to be updated with any microcanonical demon procedure, including cluster methods. The cluster algorithm is demonstrated with the 2-dimensional 7-state Potts model, using volumes up to $128^2$. The tunnelling time is found to increase as $L^{1.82}$, where $L$ is the linear dimension of the system.

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