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GPU-based simulation of the long-range Potts model via parallel tempering

Attila Boer
"Transilvania" University of Brasov, Department of Electrical Engineering and Applied Physics, B-dul Eroilor 29, 500036, Brasov, Romania
arXiv:1308.5426 [cond-mat.stat-mech], (25 Aug 2013)

@article{2013arXiv1308.5426B,

   author={Boer}, A.},

   title={"{GPU-based simulation of the long-range Potts model via parallel tempering}"},

   journal={ArXiv e-prints},

   archivePrefix={"arXiv"},

   eprint={1308.5426},

   primaryClass={"cond-mat.stat-mech"},

   keywords={Condensed Matter – Statistical Mechanics},

   year={2013},

   month={aug},

   adsurl={http://adsabs.harvard.edu/abs/2013arXiv1308.5426B},

   adsnote={Provided by the SAO/NASA Astrophysics Data System}

}

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We discuss the efficiency of parallelization on graphical processing units (GPUs) for the simulation of the one dimensional Potts model with long range interactions via parallel tempering. We investigate the behaviour of some thermodynamic properties, such as equilibrium energy and magnetization, critical temperatures as well as the separation between the first- and second-order regime. By implementing multispin coding techniques and an efficient parallelization of the interaction energy computation among threads, the GPU-accelerated approach reached speedup factors of up to 35.
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