Abstract
A parallelization approach for two-dimensional Wigner Monte Carlo quantum simulations using the signed particle method is introduced. The approach is based on a domain decomposition technique, effectually reducing the memory requirements of each parallel computational unit. We depict design and implementation specifics for a message passing interface-based implementation, used in the Wigner Ensemble Monte Carlo simulator, part of the free open source ViennaWD simulation package. Benchmark and simulation results are presented for a time-dependent, two-dimensional problem using five randomly placed point charges. Although additional communication is required, our method offers excellent parallel efficiency for large-scale high-performance computing platforms. Our approach significantly increases the feasibility of computationally highly intricate two-dimensional Wigner Monte Carlo investigations of quantum electron transport in nanostructures.
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Acknowledgements
The computational results presented have been achieved using the Vienna Scientific Cluster (VSC). The authors thank Mihail Nedjalkov for valuable feedback.
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© 2015 Springer International Publishing Switzerland
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Weinbub, J., Ellinghaus, P., Selberherr, S. (2015). Parallelization of the Two-Dimensional Wigner Monte Carlo Method. In: Lirkov, I., Margenov, S., Waśniewski, J. (eds) Large-Scale Scientific Computing. LSSC 2015. Lecture Notes in Computer Science(), vol 9374. Springer, Cham. https://doi.org/10.1007/978-3-319-26520-9_34
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DOI: https://doi.org/10.1007/978-3-319-26520-9_34
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