Langevin algorithms for spin models

S. M. Catterall; I. T. Drummond; R. R. Horgan

doi:10.1016/0370-2693(91)90417-O

Langevin algorithms for spin models

S. M. Catterall, I. T. Drummond, R. R. Horgan

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

11 Scopus citations

Abstract

In this paper we investigate higher order Langevin schemes for simulating lattice spin models. We present a derivation of a second order algorithm and show how it may be combined with Fourier acceleracceleration so as to combat the effects of critical slowing down. We derive explicit results for the case of general SO_(N) non-linear sigma models and apply them to the SO(3) model. The strength of the method is that it may be applied to any spin model.

Original language	English (US)
Pages (from-to)	177-184
Number of pages	8
Journal	Physics Letters B
Volume	254
Issue number	1-2
DOIs	https://doi.org/10.1016/0370-2693(91)90417-O
State	Published - Jan 17 1991
Externally published	Yes

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/0370-2693(91)90417-O

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abstract = "In this paper we investigate higher order Langevin schemes for simulating lattice spin models. We present a derivation of a second order algorithm and show how it may be combined with Fourier acceleracceleration so as to combat the effects of critical slowing down. We derive explicit results for the case of general SO(N) non-linear sigma models and apply them to the SO(3) model. The strength of the method is that it may be applied to any spin model.",

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AU - Catterall, S. M.

AU - Drummond, I. T.

AU - Horgan, R. R.

PY - 1991/1/17

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N2 - In this paper we investigate higher order Langevin schemes for simulating lattice spin models. We present a derivation of a second order algorithm and show how it may be combined with Fourier acceleracceleration so as to combat the effects of critical slowing down. We derive explicit results for the case of general SO(N) non-linear sigma models and apply them to the SO(3) model. The strength of the method is that it may be applied to any spin model.

AB - In this paper we investigate higher order Langevin schemes for simulating lattice spin models. We present a derivation of a second order algorithm and show how it may be combined with Fourier acceleracceleration so as to combat the effects of critical slowing down. We derive explicit results for the case of general SO(N) non-linear sigma models and apply them to the SO(3) model. The strength of the method is that it may be applied to any spin model.

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Langevin algorithms for spin models

Abstract

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