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Stochastic approaches to electron transport in micro- and nanostructures

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 c...

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Detalles Bibliográficos
Autores principales: Nedjalkov, Mihail, Dimov, Ivan, Selberherr, Siegfried
Lenguaje:eng
Publicado: Springer 2021
Materias:
Acceso en línea:https://dx.doi.org/10.1007/978-3-030-67917-0
http://cds.cern.ch/record/2763339
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author Nedjalkov, Mihail
Dimov, Ivan
Selberherr, Siegfried
author_facet Nedjalkov, Mihail
Dimov, Ivan
Selberherr, Siegfried
author_sort Nedjalkov, Mihail
collection CERN
description 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.
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institution Organización Europea para la Investigación Nuclear
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spelling cern-27633392021-04-21T16:38:34Zdoi:10.1007/978-3-030-67917-0http://cds.cern.ch/record/2763339engNedjalkov, MihailDimov, IvanSelberherr, SiegfriedStochastic approaches to electron transport in micro- and nanostructuresMathematical Physics and MathematicsThe 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.Springeroai:cds.cern.ch:27633392021
spellingShingle Mathematical Physics and Mathematics
Nedjalkov, Mihail
Dimov, Ivan
Selberherr, Siegfried
Stochastic approaches to electron transport in micro- and nanostructures
title Stochastic approaches to electron transport in micro- and nanostructures
title_full Stochastic approaches to electron transport in micro- and nanostructures
title_fullStr Stochastic approaches to electron transport in micro- and nanostructures
title_full_unstemmed Stochastic approaches to electron transport in micro- and nanostructures
title_short Stochastic approaches to electron transport in micro- and nanostructures
title_sort stochastic approaches to electron transport in micro- and nanostructures
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/978-3-030-67917-0
http://cds.cern.ch/record/2763339
work_keys_str_mv AT nedjalkovmihail stochasticapproachestoelectrontransportinmicroandnanostructures
AT dimovivan stochasticapproachestoelectrontransportinmicroandnanostructures
AT selberherrsiegfried stochasticapproachestoelectrontransportinmicroandnanostructures