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Optimized GPU simulation of continuous-spin glass models

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Abstract

We develop a highly optimized code for simulating the Edwards-Anderson Heisenberg model on graphics processing units (GPUs). Using a number of computational tricks such as tiling, data compression and appropriate memory layouts, the simulation code combining over-relaxation, heat bath and parallel tempering moves achieves a peak performance of 0.29 ns per spin update on realistic system sizes, corresponding to a more than 150 fold speed-up over a serial CPU reference implementation. The optimized implementation is used to study the spin-glass transition in a random external magnetic field to probe the existence of a de Almeida-Thouless line in the model, for which we give benchmark results.

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Authors and Affiliations

  1. Institut für Physik, Johannes Gutenberg-Universität Mainz, Staudinger Weg 7, 55099, Mainz, Germany

    T. Yavors’kii & M. Weigel

  2. Applied Mathematics Research Centre, Coventry University, Coventry, CV1 5FB, UK

    M. Weigel

Authors
  1. T. Yavors’kii
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  2. M. Weigel
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Yavors’kii, T., Weigel, M. Optimized GPU simulation of continuous-spin glass models. Eur. Phys. J. Spec. Top. 210, 159–173 (2012). https://doi.org/10.1140/epjst/e2012-01644-9

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  • DOI: https://doi.org/10.1140/epjst/e2012-01644-9

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