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In this paper the static properties of the hybrid Monte Carlo algorithm are studied in the context of condensed-matter systems. The algorithm is used to simulate a Lennard-Jones liquid near the coexistence region. The hybrid Monte Carlo algorithm generates a canonical distribution in configuration space, permitting the application of the Ferrenberg-Swendsen extrapolation scheme. Moreover, it is an exact algorithm: The configurational averages prove to be independent of the step size, and the algorithm does not suffer from numerical instabilities due to finite step size.
Mehlig et al. (Wed,) studied this question.