Equation of state calculations by fast computing machines

N Metropolis, AW Rosenbluth… - The journal of …, 1953 - pubs.aip.org
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.