Massively parallel simulations for disordered systems

Ravinder Kumar, Jonathan Gross, Wolfhard Janke and Martin Weigel ()
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Ravinder Kumar: Institut für Theoretische Physik, Universität Leipzig, IPF 231101
Jonathan Gross: Institut für Theoretische Physik, Universität Leipzig, IPF 231101
Wolfhard Janke: Institut für Theoretische Physik, Universität Leipzig, IPF 231101
Martin Weigel: Centre for Fluid and Complex Systems, Coventry University

The European Physical Journal B: Condensed Matter and Complex Systems, 2020, vol. 93, issue 5, 1-13

Abstract: 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

Date: 2020
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DOI: 10.1140/epjb/e2020-100535-0

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