Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2004-01-12
Phys. Rev. E 70, 046701 (2004).
Physics
Condensed Matter
Statistical Mechanics
6 pages, 5 figures
Scientific paper
10.1103/PhysRevE.70.046701
We present an adaptive algorithm which optimizes the statistical-mechanical ensemble in a generalized broad-histogram Monte Carlo simulation to maximize the system's rate of round trips in total energy. The scaling of the mean round-trip time from the ground state to the maximum entropy state for this local-update method is found to be O([N log N]^2) for both the ferromagnetic and the fully frustrated 2D Ising model with N spins. Our new algorithm thereby substantially outperforms flat-histogram methods such as the Wang-Landau algorithm.
Huse David A.
Trebst Simon
Troyer Matthias
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