HIGH-DIMENSIONAL GEOMETRY IN STATISTICAL-MECHANICS - A NEW MICROCANONICAL SAMPLING METHOD

The Hyper Volume Monte Carlo (HVMC) method recently proposed by Fernan des 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 presen ted. The spontaneous magnetization curve for a 2-dimensional Ising mod el, obtained by HVMC, is also shown. Finally, some potential applicati ons of the HVMC method are pointed out.