IDEAS home Printed from https://ideas.repec.org/a/bpj/mcmeap/v13y2007i4p299-331n4.html
   My bibliography  Save this article

Mixed initial-boundary value problem in particle modeling of microelectronic devices

Author

Listed:
  • Nedjalkov M.

    (Institute for Microelectronics, TU Vienna, Gusshausstrasse 27–29 E360, 1040 Vienna, Austria. Email:)

  • Vasileska D.

    (Department of Electrical Engineering, Arizona State University, Tempe, AZ 85287-5706, USA. Email: vasileska@asu.edu)

  • Dimov I.

    (Institute for Parallel Processing, Bulgarian Academy of Sciences, 1113 Sofia, and ACET Centre, University of Reading, Whiteknights P.O. Box 217, Reading RG6 6AH, Bulgaria/UK. Email: i.t.dimov@reading.ac.uk)

  • Arsov G.

    (Faculty of Electrical Engineering and Information Technologies, SS “Cyril and Methodius” University, Skopje, Karpos II b.b., P.O. Box 574, 1001 Skopje, Macedonia, Macedonia. Email: g.arsov@ieee.org)

Abstract

The Boltzmann equation in presence of boundary and initial conditions, which describes the general case of carrier transport in microelectronic devices is analysed in terms of Monte Carlo theory. The classical Ensemble Monte Carlo algorithm which has been devised by merely phenomenological considerations of the initial and boundary carrier contributions is now derived in a formal way. The approach allows to suggest a set of event-biasing algorithms for statistical enhancement as an alternative of the population control technique, which is virtually the only algorithm currently used in particle simulators. The scheme of the self-consistent coupling of Boltzmann and Poisson equation is considered for the case of weighted particles. It is shown that particles survive the successive iteration steps.

Suggested Citation

  • Nedjalkov M. & Vasileska D. & Dimov I. & Arsov G., 2007. "Mixed initial-boundary value problem in particle modeling of microelectronic devices," Monte Carlo Methods and Applications, De Gruyter, vol. 13(4), pages 299-331, November.
    • Handle: RePEc:bpj:mcmeap:v:13:y:2007:i:4:p:299-331:n:4
    DOI: 10.1515/mcma.2007.017
    as

    Download full text from publisher

    File URL: https://doi.org/10.1515/mcma.2007.017
    Download Restriction: For access to full text, subscription to the journal or payment for the individual article is required.
    File URL: https://libkey.io/10.1515/mcma.2007.017?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Sellier Jean Michel & Nedjalkov Mihail & Dimov Ivan & Selberherr Siegfried, 2014. "A benchmark study of the Wigner Monte Carlo method," Monte Carlo Methods and Applications, De Gruyter, vol. 20(1), pages 43-51, March.
    2. Sellier, J.M. & Nedjalkov, M. & Dimov, I. & Selberherr, S., 2015. "A comparison of approaches for the solution of the Wigner equation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 107(C), pages 108-119.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:bpj:mcmeap:v:13:y:2007:i:4:p:299-331:n:4. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Peter Golla (email available below). General contact details of provider: https://www.degruyter.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.