Accessibility navigation


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

Nedjalkov, M., Vasileska, D., Dimov, I. and Arsov, G. (2007) Mixed initial-boundary value problem in particle modeling of microelectronic devices. Monte Carlo Methods and Applications, 13 (4). pp. 299-331. ISSN 0929-9629

Full text not archived in this repository.

It is advisable to refer to the publisher's version if you intend to cite from this work. See Guidance on citing.

To link to this item DOI: 10.1515/MCMA.2007.017

Abstract/Summary

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.

Item Type:Article
Refereed:Yes
Divisions:Faculty of Science
ID Code:15346
Uncontrolled Keywords:Boltzmann equation, Carrier transport in semiconductors, Event biasing, Integral equations

University Staff: Request a correction | Centaur Editors: Update this record

Page navigation