A new efficient Monte Carlo technique

A new efficient Monte Carlo technique is developed and tested using the 2D Ising model for which exact solutions are known. The new technique calculates continuous thermodynamic functions of continuous thermodynamic variables from independent samples taken within an interval of typically a few hundredths of a Monte Carlo step per spin. The new technique is not only efficient and accurate but also furnishes some new information concerning the relationship between canonical and microcanonical averages for finite systems. It also furnishes primary thermodynamic functions such as free energy directly from the Monte Carlo data, a feature not available in the conventional Monte Carlo method.