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International Conference on Large-Scale Scientific Computing

LSSC 2015: Large-Scale Scientific Computing pp 309–316Cite as

Parallelization of the Two-Dimensional Wigner Monte Carlo Method

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Part of the book series: Lecture Notes in Computer Science ((LNISA,volume 9374))

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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References

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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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Authors and Affiliations

  1. Institute for Microelectronics, TU Wien, Vienna, Austria

    Josef Weinbub, Paul Ellinghaus & Siegfried Selberherr

Authors
  1. Josef Weinbub
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  2. Paul Ellinghaus
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  3. Siegfried Selberherr
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Corresponding author

Correspondence to Josef Weinbub .

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Editors and Affiliations

  1. Bulgarian Academy of Sciences, Sofia, Bulgaria

    Ivan Lirkov

  2. Inst. of Inform. & Communication, Bulgarian Academy of Sciences, Sofia, Bulgaria

    Svetozar D. Margenov

  3. Informatics and Mathematical Modell, Technical University of Denmark, Kongens Lyngby, Denmark

    Jerzy Waśniewski

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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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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-26519-3

  • Online ISBN: 978-3-319-26520-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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