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In this work we propose a criterion to finish the simulations of theWang-Landau sampling. Instead of determining a final modification factor forall simulations and every sample sizes, we investigate the behavior of thetemperature of the peak of the specific heat during the simulations and finishthem when this value varies bellow a given limit. As a result, different runsstop at different final modification factors. We show that in place of thetemperature of the peak of the specific heat one can adopt alternatively theintegrated heat transfer as a reference quantity. We apply this technique tothe two-dimensional Ising model and a homopolymer. We verify that for the Isingmodel the mean order of the final modification factors are roughly the same forall lattice sizes, but for the homopolymer the order of the final modificationfactors increases with increasing polymer sizes. The results show that thesimulations can be halted much earlier then it is conventional in Wang-Landausampling, but manifold finite-size simulations are required in order to obtainaccurate results. A brief application to the three-dimensional Ising model isalso available.

Wang-Landau sampling: a criterion for halting the simulations