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Phys. Rev. Lett. 79, 3002–3005 (1997)

Free Energy of Crystalline Solids: A Lattice-Switch Monte Carlo Method

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A. D. Bruce, N. B. Wilding, and G. J. Ackland
Department of Physics and Astronomy, The University of Edinburgh, Edinburgh, EH9 3JZ, Scotland, United Kingdom

Received 10 June 1997; published in the issue dated 20 October 1997

We present a Monte Carlo method for evaluating the difference between the free energies of two crystal structures. The method uses a biased sampling of atomic displacements to favor configurations of one structure that can be replaced by corresponding configurations of the other through a Monte Carlo switch of the lattice. The configurations of both structures can be sampled in a single process, and the difference between their free energies evaluated from their measured probabilities. The method is applied to the free energies of the fcc and hcp phases of hard spheres.

© 1997 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.79.3002
DOI:
10.1103/PhysRevLett.79.3002
PACS:
64.70.Kb, 02.70.Lq