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Monte Carlo Methods and Applications

Managing Editor: Sabelfeld, Karl K.

Editorial Board: Binder, Kurt / Bouleau, Nicolas / Chorin, Alexandre J. / Dimov, Ivan / Dubus, Alain / Egorov, Alexander D. / Ermakov, Sergei M. / Halton, John H. / Heinrich, Stefan / Kalos, Malvin H. / Lepingle, D. / Makarov, Roman / Mascagni, Michael / Mathe, Peter / Niederreiter, Harald / Platen, Eckhard / Sawford, Brian R. / Schmid, Wolfgang Ch. / Schoenmakers, John / Simonov, Nikolai A. / Sobol, Ilya M. / Spanier, Jerry / Talay, Denis

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CiteScore 2016: 0.70

SCImago Journal Rank (SJR) 2016: 0.647
Source Normalized Impact per Paper (SNIP) 2016: 0.908

Mathematical Citation Quotient (MCQ) 2016: 0.33

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1569-3961
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Volume 10, Issue 3-4 (Dec 2004)

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Weighted simulation of steady-state transport within the standard Monte Carlo paradigm

Stefano Portolan / Rita C. Iotti / Fausto Rossi
  • Istituto Nazionale per la Fisica della Materia (INFM) and Dipartimento di Fisica, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italy
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Published Online: 2008-05-09 | DOI: https://doi.org/10.1515/mcma.2004.10.3-4.531

In this paper we propose a novel Weighted Monte Carlo scheme which overcomes the intrinsic limitations of the conventional Monte Carlo method in describing the electro-optical response of some semiconductor-based quantum devices—e.g., huge photocurrent fluctuations in photodetectors. More specifically, to avoid potential numerical instabilities of existing weighted Monte Carlo approaches at long simulation times, we derive a version of the method specifically designed for the study of the steady-state regime. The latter, based again on the particle-counting paradigm, comes out to be statistically stable also in the long-time limit.

Keywords: Boltzmann equation; Monte Carlo sampling; semiconductor devices

About the article

Published Online: 2008-05-09

Published in Print: 2004-12-01


Citation Information: Monte Carlo Methods and Applications mcma, ISSN (Online) 1569-3961, ISSN (Print) 0929-9629, DOI: https://doi.org/10.1515/mcma.2004.10.3-4.531.

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[1]
Rita C Iotti and Fausto Rossi
Reports on Progress in Physics, 2005, Volume 68, Number 11, Page 2533

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