The density profile and the pressure of a one-dimensional fluid with core-softened potential are calculated rigorously using the exact formula for the grand canonical partition function of a one-dimensional fluid. This core-softened potential has been used as a simple zeroth-order approximation...

A new Monte Carlo scheme based on the system of Tsallis’ generalized statistical mechanics is applied to a simple double well potential to calculate the canonical thermal average of potential energy. Although we observed serious quasi-ergodicity when using the standard Metropolis Monte Carlo...