Authors:
- Presents the synergistic link between the development of mathematical models in micro- and nanoelectronics and the emergence of stochastic methods for their simulation
- Describes the evolution of the stochastic algorithms from classical to quantum transport conditions
- Fills the gap between other monographs which focus on the physical or numerical theory
Part of the book series: Modeling and Simulation in Science, Engineering and Technology (MSSET)
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Table of contents (15 chapters)
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Front Matter
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Aspects of Electron Transport Modeling
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Front Matter
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Stochastic Algorithms for Boltzmann Transport
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Front Matter
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Stochastic Algorithms for Quantum Transport
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Front Matter
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Back Matter
About this book
The book serves as a synergistic link between the development of mathematical models and the emergence of stochastic (Monte Carlo) methods applied for the simulation of current transport in electronic devices. Regarding the models, the historical evolution path, beginning from the classical charge carrier transport models for microelectronics to current quantum-based nanoelectronics, is explicatively followed. Accordingly, the solution methods are elucidated from the early phenomenological single particle algorithms applicable for stationary homogeneous physical conditions up to the complex algorithms required for quantum transport, based on particle generation and annihilation. The book fills the gap between monographs focusing on the development of the theory and the physical aspects of models, their application, and their solution methods and monographs dealing with the purely theoretical approaches for finding stochastic solutions of Fredholm integral equations.
Authors and Affiliations
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Institute for Microelectronics, Faculty of Electrical Engineering and Information Technology, Technische Universität Wien, Wien, Austria
Mihail Nedjalkov, Siegfried Selberherr
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Institute for Information and Communication Technologies, Bulgarian Academy of Sciences, Sofia, Bulgaria
Ivan Dimov
About the authors
Ivan Dimov is a Professor of Mathematical Modelling at the Institute of Information and Communication Technologies at the Bulgarian Academy of Sciences (BAS). His research interests include Monte Carlo methods, computational physics, parallel algorithms and GRIDs, and environmental mathematical modeling. He is author of more than 170 scientific papers, 4 monographs and 15 book editorships. He served as a Scientific Secretary with BAS and received the highest Bulgarian scientific award, the Marin Drinov medal on ribbon.
Siegfried Selberherr is a Chair Professor at the TU Wien, Austria. With his research teams, he has published about 2000 manuscripts in journals, in books, and in proceedings, including 3 monographs and about 50 edited volumes. His research interests are modeling and simulation for nano- and microelectronics engineering. He has received numerous honors; he is a Fellow of the Institute of Electrical and Electronics Engineers, of the Academia Europaea, and of the European Academy of Science and Arts.
Bibliographic Information
Book Title: Stochastic Approaches to Electron Transport in Micro- and Nanostructures
Authors: Mihail Nedjalkov, Ivan Dimov, Siegfried Selberherr
Series Title: Modeling and Simulation in Science, Engineering and Technology
DOI: https://doi.org/10.1007/978-3-030-67917-0
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2021
Hardcover ISBN: 978-3-030-67916-3Published: 06 April 2021
Softcover ISBN: 978-3-030-67919-4Published: 07 April 2022
eBook ISBN: 978-3-030-67917-0Published: 05 April 2021
Series ISSN: 2164-3679
Series E-ISSN: 2164-3725
Edition Number: 1
Number of Pages: XVI, 214
Number of Illustrations: 11 b/w illustrations, 1 illustrations in colour
Topics: Applications of Mathematics, Theoretical, Mathematical and Computational Physics, Computer Science, general