Comparison of the microcanonical population annealing algorithm with the Wang-Landau algorithm
arxiv(2024)
摘要
The development of new algorithms for simulations in physics is as important
as the development of new analytical methods. In this paper we present a
comparison of the recently developed microcanonical population annealing (MCPA)
algorithm with the rather mature Wang-Landau algorithm. The comparison is
performed on two cases of the Potts model exhibiting a first order phase
transition. We compare the simulation results of both methods with exactly
known results, including the finite-dimensional dependence of the maximum of
the specific heat capacity. We evaluate the Binder cumulant minimum, the ratio
of peaks in the energy distribution at the critical temperature, and the
energies of the ordered and disordered phases. Both methods exhibit similar
accuracy at selected sets of modeling parameters.
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