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arXiv · 2204.00042

Efficient algorithms for computing ground states of the 2D random-field Ising model

Argyro Mainou·Nikolaos G. Fytas·Martin Weigel
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Abstract

We investigate the application of graph-cut methods for the study of the critical behaviour of the two-dimensional random-field Ising model. We focus on exact ground-state calculations, crossing the phase boundary of the model at zero temperature and varying the disorder strength. For this purpose we employ two different minimum-cut--maximum-flow algorithms, one of augmenting-path and another of push-relabel style. We implement these approaches for the square and triangular lattice problems and compare their computational efficiency.

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Argyro Mainou, Nikolaos G. Fytas, Martin Weigel. 2022-03-31. Efficient algorithms for computing ground states of the 2D random-field Ising model. https://doi.org/10.1088/1742-6596/2207/1/012009

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