A hybrid Monte Carlo method

A method has been developed that combines the best features of deterministic and Monte Carlo techniques. Based on perturbation theory, this new method uses a deterministic solution of a simplified model along with a Monte Carlo calculation of the perturbation linking the simplified model to the actual complex geometry of the problem. If the perturbation is small, then the speed will be increased relative to a conventional Monte Carlo. A computer code MAX has been written, and the results of a range of lattice cell calculations are outlined that illustrate both the accuracy and efficiency of this technique.