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CUDA programs for GPU computing of Swendsen-Wang multi-cluster spin flip algorithm: 2D and 3D Ising, Potts, and XY models

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arxiv 1403.7560 v1 pith:Q26INKTW submitted 2014-03-28 physics.comp-ph cond-mat.stat-mech

Yukihiro Komura , Yutaka Okabe This is my paper · ORCID
classification physics.comp-phcond-mat.stat-mech
keywords modelsisinglatticemodelprogramsspinalgorithmclassical
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abstract

We present sample CUDA programs for the GPU computing of the Swendsen-Wang multi-cluster spin flip algorithm. We deal with the classical spin models; the Ising model, the $q$-state Potts model, and the classical XY model. As for the lattice, both the 2D (square) lattice and the 3D (simple cubic) lattice are treated. We already reported the idea of the GPU implementation for 2D models [Comput. Phys. Commun. 183 (2012) 1155-1161]. We here explain the details of sample programs, and discuss the performance of the present GPU implementation for the 3D Ising and XY models. We also show the calculated results of the moment ratio for these models, and discuss phase transitions.

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  1. Eliminating leading and subleading corrections to scaling in the three-dimensional XY universality class

    cond-mat.stat-mech 2025-07 accept novelty 6.0 of 10

    Tuning the ratio of two couplings in a cubic-lattice clock model removes the leading and shrinks the subleading corrections to scaling, yielding eta = 0.03816(2) and 1/nu = 1.48872(5).

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