Traditional Monte Carlo Simulation Research Articles

High-speed Monte Carlo calculations of crystal blocking dips

A new method for the calculation of blocking dips in single-crystals is described. It makes use of the continuum model to generate the distribution of initial transverse energies and of a Monte Carlo sampling for the exit angular distribution of ions emitted with a given transverse energy. The results are very similar to traditional Monte Carlo simulations and are obtained with a factor of 100 smaller CPU time consumption. Compensating shoulders are absent, or appear insuficient if use is made of the half-way-plane model. This suggests that correlated thermal vibrations might be important in blocking phenomena.

On the Functional Form of the Transition Probabilities in the Monte Carlo Method as Used in Statistical Mechanics

The transition probabilities W in the traditional Monte Carlo simulation process used in statistical mechanics are shown to satisfy a linear functional equation. General classes of solution to this equation are presented. A simple one-particle mean-field Ising model of a ferromagnet is used in an analytical comparison of the various possible forms of W.