Stochastic Approaches to Electron Transport in Micro- and Nanostructures / by Mihail Nedjalkov, Ivan Dimov, Siegfried Selberherr.

Format:

Book

Author/Creator:

Nedjalkov, Mihail, author.

Dimov, Ivan, 1963- author.

Selberherr, Siegfried, 1955- author.

Series:

Modeling and Simulation in Science, Engineering and Technology, 2164-3725

Language:

English

Subjects (All):

Mathematics.

Mathematical physics.

Computer science.

Applications of Mathematics.

Theoretical, Mathematical and Computational Physics.

Computer Science.

Local Subjects:

Applications of Mathematics.

Theoretical, Mathematical and Computational Physics.

Computer Science.

Physical Description:

1 online resource (xvi, 214 pages) : illustrations.

Edition:

1st ed. 2021.

Place of Publication:

Cham : Springer International Publishing : Imprint: Birkhäuser, 2021.

Summary:

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.

Contents:

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. .

Notes:

Includes bibliographical references.

ISBN:

3-030-67917-9

OCLC:

1246581143