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Stochastic approaches to electron tr...

Dimov, Ivan.

Stochastic approaches to electron transport in micro- and nanostructures

Record Type:	Electronic resources : Monograph/item
Title/Author:	Stochastic approaches to electron transport in micro- and nanostructuresby Mihail Nedjalkov, Ivan Dimov, Siegfried Selberherr.
Author:	Nedjalkov, Mihail.
other author:	Dimov, Ivan.
Published:	Cham :Springer International Publishing :2021.
Description:	xvi, 214 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Electron transportMathematical models.
Online resource:	https://doi.org/10.1007/978-3-030-67917-0
ISBN:	9783030679170$q(electronic bk.)

Stochastic approaches to electron transport in micro- and nanostructures
Nedjalkov, Mihail.

Stochastic approaches to electron transport in micro- and nanostructures[electronic resource] /by Mihail Nedjalkov, Ivan Dimov, Siegfried Selberherr. - Cham :Springer International Publishing :2021. - xvi, 214 p. :ill., digital ;24 cm. - Modeling and simulation in science, engineering and technology,2164-3679. - Modeling and simulation in science, engineering and technology..

Part I Aspets of Electron Transport Modeling: 1. Concepts of Device Modeling -- 2. The Semiconductor Model: Fundamentals -- 3. Transport Theories in Phase Space -- 4. Monte Carlo Computing -- Part II Stochastic Algorithms for Boltzmann Transport: 5. Homogeneous Transport: Empirical Approach -- 6. Homogeneous Transport: Stochastic Approach -- 7. Small Signal Analysis -- 8. Inhomogeneous Stationary Transport -- 9. General Transport: Self-Consistent Mixed Problem -- 10. Event Biasing -- Part III Stochastic Algorithms for Quantum Transport: 11. Wigner Function Modeling -- 12. Evolution in a Quantum Wire -- 13. Hierarchy of Kinetic Models -- 14. Stationary Quantum Particle Attributes -- 15. Transient Quantum Particle Attributes.

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.

ISBN: 9783030679170$q(electronic bk.)

Standard No.: 10.1007/978-3-030-67917-0doiSubjects--Topical Terms:

648067
Electron transport
--Mathematical models.

LC Class. No.: QC175.25.S8 / N435 2021

Dewey Class. No.: 530.138

Stochastic approaches to electron transport in micro- and nanostructures
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505 0 $a Part I Aspets of Electron Transport Modeling: 1. Concepts of Device Modeling -- 2. The Semiconductor Model: Fundamentals -- 3. Transport Theories in Phase Space -- 4. Monte Carlo Computing -- Part II Stochastic Algorithms for Boltzmann Transport: 5. Homogeneous Transport: Empirical Approach -- 6. Homogeneous Transport: Stochastic Approach -- 7. Small Signal Analysis -- 8. Inhomogeneous Stationary Transport -- 9. General Transport: Self-Consistent Mixed Problem -- 10. Event Biasing -- Part III Stochastic Algorithms for Quantum Transport: 11. Wigner Function Modeling -- 12. Evolution in a Quantum Wire -- 13. Hierarchy of Kinetic Models -- 14. Stationary Quantum Particle Attributes -- 15. Transient Quantum Particle Attributes.
520 $a 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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