Abstract
Recent numerical studies concerning simulated tempering algorithm without the detailed balance condition are reviewed and an irreversible simulated tempering algorithm based on the skew detailed balance condition is described. A method to estimate weight factors in simulated tempering by sequentially implementing the irreversible simulated tempering algorithm is studied in comparison with the conventional simulated tempering algorithm satisfying the detailed balance condition. It is found that the total amount of Monte Carlo steps for estimating the weight factors is successfully reduced by applying the proposed method to an two-dimensional ferromagnetic Ising model.
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