Wang-Landau sampling: saving CPU time
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2018
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In this work we propose an improvement to the Wang–Landau (WL) method that allows
an economy in CPU time of about 60% leading to the same results with the same accuracy.
We used the 2D Ising model to show that one can initiate all WL simulations using the
outputs of an advanced WL level from a previous simulation. We showed that up to the
seventh WL level ( f6) the simulations are not biased yet and can proceed to any value
that the simulation from the very beginning would reach. As a result the initial WL levels
can be simulated just once. It was also observed that the saving in CPU time is larger
for larger lattice sizes, exactly where the computational cost is considerable. We carried
out high-resolution simulations beginning initially from the first WL level ( f0) and another
beginning from the eighth WL level ( f7) using all the data at the end of the previous
level and showed that the results for the critical temperature Tc and the critical static
exponents β and γ coincide within the error bars. Finally we applied the same procedure
to the 1/2-spin Baxter–Wu model and the economy in CPU time was of about 64%.
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Wang–Landau method, CPU time, Threshold of convergence
Citação
FERREIRA, L. S.; JORGE, L. N.; LEÃO, S. A.; Caparica, A. A. Wang-Landau sampling: saving CPU time. Journal of Computational Physics, Amsterdam, v. 358, p. 130-134, 2018. DOI: 10.1016/j.jcp.2018.01.003. Disponível em: https://www.sciencedirect.com/science/article/pii/S002199911830007X. Acesso em: 11 set. 2023.