Lifted worm algorithm for the Ising model

Eren Metin Elçi; Jens Grimm; Lijie Ding; Abrahim Nasrawi; Timothy M. Garoni; Youjin Deng

doi:10.1103/PhysRevE.97.042126

Lifted worm algorithm for the Ising model

Eren Metin Elçi, Jens Grimm, Lijie Ding, Abrahim Nasrawi, Timothy M. Garoni, Youjin Deng

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

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.

Original language	English
Article number	042126
Journal	Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume	97
Issue number	4
DOIs	https://doi.org/10.1103/PhysRevE.97.042126
State	Published - Apr 18 2018
Externally published	Yes

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10.1103/PhysRevE.97.042126

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title = "Lifted worm algorithm for the Ising model",

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.",

author = "El{\c c}i, {Eren Metin} and Jens Grimm and Lijie Ding and Abrahim Nasrawi and Garoni, {Timothy M.} and Youjin Deng",

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AU - Elçi, Eren Metin

AU - Grimm, Jens

AU - Ding, Lijie

AU - Nasrawi, Abrahim

AU - Garoni, Timothy M.

AU - Deng, Youjin

PY - 2018/4/18

Y1 - 2018/4/18

N2 - 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.

AB - 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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Lifted worm algorithm for the Ising model

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