Monte Carlo methods determine equations of state in three-dimensional hard spheres and two-dimensional molecules, suggesting limitations and utility.
The equation of state of three-dimensional hard spheres has been obtained by the Monte Carlo method. Some qualitative results for a system of two-dimensional molecules with Lennard-Jones interaction are also given, as well as a general discussion of the usefulness and limitations of the Monte Carlo method.
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Rosenbluth et al. (1954) studied this question.
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