Modeling of Carrier Transport in Nanowires

Authors:
T. Gurov;E. Atanassov;M. Nedjalkov;I. Dimov
Affiliations:
IPP, Bulgarian Academy of Sciences, Sofia, Bulgaria;IPP, Bulgarian Academy of Sciences, Sofia, Bulgaria;Institute for Microelectronics, TU Vienna, Austria;Centre for Advanced Computing and Emerging Technologies, School of Systems Engineering, The University of Reading, Whiteknights, PO Box 225, Reading, RG6 6AY, UK
Venue:
ICCS '07 Proceedings of the 7th international conference on Computational Science, Part I: ICCS 2007
Year:
2007

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Monte Carlo methods. Vol. 1: basics

Monte Carlo methods. Vol. 1: basics
An efficient backward Monte Carlo estimator for solving of a quantum-kinetic equation with memory kernel

Mathematics and Computers in Simulation

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Abstract

We consider a physical model of ultrafast evolution of an initial electron distribution in a quantum wire. The electron evolution is described by a quantum-kinetic equation accounting for the interaction with phonons. A Monte Carlo approach has been developed for solving the equation. The corresponding Monte Carlo algorithm is NP-hard problem concerning the evolution time. To obtain solutions for long evolution times with small stochastic error we combine both variance reduction techniques and distributed computations. Grid technologies are implemented due to the large computational efforts imposed by the quantum character of the model.