Wang-landau sampling: a criterion for halting the simulations
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2014
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In this work we propose a criterion to finish the simulations of the Wang-Landau sampling. Instead of
determining a final modification factor for all simulations and every sample size, we investigate the behavior of
the temperature of the peak of the specific heat during the simulations and finish them when this value varies
below a given limit. As a result, different runs stop at different final modification factors. We show that in place
of the temperature of the peak of the specific heat one can adopt alternatively the integrated heat transfer as a
reference quantity. We apply this technique to the two-dimensional Ising model and a homopolymer. We verify
that for the Ising model the mean order of the final modification factors is roughly the same for all lattice sizes,
but for the homopolymer the order of the final modification factors increases with increasing polymer sizes. The
results show that the simulations can be halted much earlier than is conventional in Wang-Landau sampling,
but manifold finite-size simulations are required in order to obtain accurate results. A brief application to the
three-dimensional Ising model is also available.
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CAPARICA, A. A. Wang-landau sampling: a criterion for halting the simulations. Physical Review. E, Melville, v. 89, e043301, 2014.