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The Hyper Volume Monte Carlo (HVMC) method recently proposed by Fernandes and Ramalho (1) is reviewed. The geometrical and statistical roots of the method, its application to simple and to molecular systems, as well as a comparison with results from Molecular Dynamics, are presented. The spontaneous magnetization curve for a 2-dimensional Ising model, obtained by HVMC, is also shown. Finally, some potential applications of the HVMC method are pointed out.

High dimensional geometry in statistical mechanics. A new microcanonical sampling method