TY - JOUR TI - Equation of State Calculations by Fast Computing Machines AU - N. Metropolis AU - Arianna W. Rosenbluth AU - M. N. Rosenbluth AU - Augusta H. Teller AU - Edward Teller PY - 1953 JO - The Journal of Chemical Physics DO - 10.1063/1.1699114 UR - https://doi.org/10.1063/1.1699114 AB - A general method, suitable for fast computing machines, for investigating such properties as equations of state for substances consisting of interacting individual molecules is described. The method consists of a modified Monte Carlo integration over configuration space. Results for the two-dimensional rigid-sphere system have been obtained on the Los Alamos MANIAC and are presented here. These results are compared to the free volume equation of state and to a four-term virial coefficient expansion. ER -