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Lifted worm algorithm for the Ising model
Eren Metin Elçi1, Jens Grimm2, Lijie Ding3
1School of Mathematical Sciences, Monash University, Clayton, Victoria 3800, Australia.
Abstract:
We design an irreversible worm algorithm for the zero-field ferromagnetic Ising model by using the lifting technique. We study the dynamic critical behavior of an energylike observable on both the complete graph and toroidal grids, and compare our findings with reversible algorithms such as the Prokof'ev-Svistunov worm algorithm. Our results show that the lifted worm algorithm improves the dynamic exponent of the energylike observable on the complete graph and leads to a significant constant improvement on toroidal grids.
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