Massively parallel simulations for disordered systems

Ravinder Kumar, Jonathan Gross, Wolfhard Janke, Martin Weigel

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Abstract: Simulations of systems with quenched disorder are extremely demanding, suffering from the combined effect of slow relaxation and the need of performing the disorder average. As a consequence, new algorithms and improved implementations in combination with alternative and even purpose-built hardware are often instrumental for conducting meaningful studies of such systems. The ensuing demands regarding hardware availability and code complexity are substantial and sometimes prohibitive. We demonstrate how with a moderate coding effort leaving the overall structure of the simulation code unaltered as compared to a CPU implementation, very significant speed-ups can be achieved from a parallel code on GPU by mainly exploiting the trivial parallelism of the disorder samples and the near-trivial parallelism of the parallel tempering replicas. A combination of this massively parallel implementation with a careful choice of the temperature protocol for parallel tempering as well as efficient cluster updates allows us to equilibrate comparatively large systems with moderate computational resources. Graphical abstract: [Figure not available: see fulltext.].

Original languageEnglish
Article number79
JournalThe European Physical Journal B - Condensed Matter and Complex Systems
Issue number5
Early online date4 May 2020
Publication statusPublished - May 2020

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  • physics.comp-ph
  • cond-mat.dis-nn
  • cond-mat.stat-mech


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