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Updated: Aug 2, 2026

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
Published on: December 4, 2017
Reconstructing the density of states by history-dependent metadynamics
Cristian Micheletti1, Alessandro Laio, Michele Parrinello
1International School for Advanced Studies (SISSA) and INFM, Via Beirut 2-4, 34014 Trieste, Italy.
Abstract:
We present a novel method for the calculation of the energy density of states D(E) for systems described by classical statistical mechanics. The method builds on an extension of a recently proposed strategy that allows the free-energy profile of a canonical system to be recovered within a preassigned accuracy [Proc. Natl. Acad. Sci. U.S.A. 99, 12562 (2002)]]. The method allows a good control over the error on the recovered system entropy. This fact is exploited to obtain D(E) more efficiently by combining measurements at different temperatures. The accuracy and efficiency of the method are tested for the two-dimensional Ising model (up to size 50 x 50) by comparison with both exact results and previous studies. This method is a general one and should be applicable to more realistic model systems.
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