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GPU accelerated Monte Carlo simulation of the 2D and 3D Ising model
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Preis, Tobias, Virnau, Peter, Paul, Wolfgang and Schneider, Johannes J. (2009) GPU accelerated Monte Carlo simulation of the 2D and 3D Ising model. Journal of Computational Physics, Volume 228 (Number 12). pp. 4468-4477. doi:10.1016/j.jcp.2009.03.018 ISSN 0021-9991.
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Official URL: http://dx.doi.org/10.1016/j.jcp.2009.03.018
Abstract
The compute unified device architecture (CUDA) is a programming approach for performing scientific calculations on a graphics processing unit (GPU) as a data-parallel computing device. The programming interface allows to implement algorithms using extensions to standard C language. With continuously increased number of cores in combination with a high memory bandwidth, a recent GPU offers incredible resources for general purpose computing. First, we apply this new technology to Monte Carlo simulations of the two dimensional ferromagnetic square lattice Ising model. By implementing a variant of the checkerboard algorithm, results are obtained up to 60 times faster on the GPU than on a current CPU core. An implementation of the three dimensional ferromagnetic cubic lattice Ising model on a GPU is able to generate results up to 35 times faster than on a current CPU core. As proof of concept we calculate the critical temperature of the 2D and 3D Ising model using finite size scaling techniques. Theoretical results for the 2D Ising model and previous simulation results for the 3D Ising model can be reproduced.
Item Type: | Journal Article | ||||||||||
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Divisions: | Faculty of Social Sciences > Warwick Business School > Behavioural Science Faculty of Social Sciences > Warwick Business School |
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Journal or Publication Title: | Journal of Computational Physics | ||||||||||
Publisher: | Academic Press Inc. Elsevier Science | ||||||||||
ISSN: | 0021-9991 | ||||||||||
Official Date: | 1 July 2009 | ||||||||||
Dates: |
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Volume: | Volume 228 | ||||||||||
Number: | Number 12 | ||||||||||
Number of Pages: | 9 | ||||||||||
Page Range: | pp. 4468-4477 | ||||||||||
DOI: | 10.1016/j.jcp.2009.03.018 | ||||||||||
Status: | Peer Reviewed | ||||||||||
Publication Status: | Published | ||||||||||
Access rights to Published version: | Restricted or Subscription Access |
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