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The Role of Annihilation in a Wigner Monte Carlo Approach

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Large-Scale Scientific Computing (LSSC 2013)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 8353))

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Abstract

The Wigner equation provides an interesting mathematical limit, which recovers the constant field, ballistic Boltzmann equation. The peculiarities of a recently proposed Monte Carlo approach for solving the transient Wigner problem, based on generation and annihilation of particles are summarized. The annihilation process can be implemented at consecutive time steps to improve the Monte Carlo resolution. We analyze theoretically and numerically this process applied to the simulation of important quantum phenomena, such as time-dependent tunneling of a wave packet through potential barriers.

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References

  1. Querlioz, D., Dollfus, P.: The Wigner Monte Carlo Method for Nanoelectronic Devices - A Particle Description of Quantum Transport and Decoherence. ISTE-Wiley, London (2010)

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Acknowledgment

This work has been supported by the the project EC AComIn (FP7-REGPOT-2012-2013-1), and Bulgarian NSF Grants DTK 02/44/2009 and Austrian Science Fund Project FWF-P21685-N22.

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Authors and Affiliations

  1. Institute for Parallel Processing, Bulgarian Academy of Sciences, Acad. G.Bontchev, Bl 25A, 1113, Sofia, Bulgaria

    Jean Michel Sellier & Ivan Dimov

  2. Institute for Microelectronics, TU Wien Gußhausstraße 27-29/E360, 1040, Vienna, Austria

    Mihail Nedjalkov & Siegfried Selberherr

Authors
  1. Jean Michel Sellier
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  2. Mihail Nedjalkov
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  3. Ivan Dimov
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  4. Siegfried Selberherr
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Corresponding author

Correspondence to Ivan Dimov .

Editor information

Editors and Affiliations

  1. Inst. of Info. & Comm. Technologies, Bulgarian Academy of Sciences, Sofia, Bulgaria

    Ivan Lirkov

  2. Bulgarian Academy of Sciences, Sofia, Bulgaria

    Svetozar Margenov

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

    Jerzy Waśniewski

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Sellier, J.M., Nedjalkov, M., Dimov, I., Selberherr, S. (2014). The Role of Annihilation in a Wigner Monte Carlo Approach. In: Lirkov, I., Margenov, S., Waśniewski, J. (eds) Large-Scale Scientific Computing. LSSC 2013. Lecture Notes in Computer Science(), vol 8353. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-43880-0_20

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  • DOI: https://doi.org/10.1007/978-3-662-43880-0_20

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-43879-4

  • Online ISBN: 978-3-662-43880-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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