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Electronics and optics of solids --- Semiconductors --- 621.382 --- Electronic devices using solid-state effects. Semiconductor devices --- Semiconductors. --- 621.382 Electronic devices using solid-state effects. Semiconductor devices --- Semiconducteurs

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Electronics and optics of solids --- Electronics --- Electrical engineering --- Artificial intelligence. Robotics. Simulation. Graphics --- Computer. Automation --- nanotechniek --- vormgeving --- simulaties --- algoritmen --- elektronica --- transistoren --- halfgeleiders --- numerieke analyse

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Semiconductors --- Mathematical models --- Semiconductors - Mathematical models

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Electron transport --- Microelectronics --- Nanoelectronics --- Charge carrier processes. --- Mathematical models. --- Carrier processes, Charge --- Charge carrier trapping --- Processes, Charge carrier --- Diffusion processes --- Nanoscale electronics --- Nanoscale molecular electronics --- Electronics --- Nanotechnology --- Microminiature electronic equipment --- Microminiaturization (Electronics) --- Microtechnology --- Semiconductors --- Miniature electronic equipment --- Electrons --- Energy-band theory of solids --- Free electron theory of metals --- Transport theory --- Transport d'electrons --- Microelectrònica --- Nanoelectrònica --- Models matemàtics --- Models (Matemàtica) --- Models experimentals --- Models teòrics --- Mètodes de simulació --- Anàlisi de sistemes --- Mètode de Montecarlo --- Modelització multiescala --- Models economètrics --- Models lineals (Estadística) --- Models multinivell (Estadística) --- Models no lineals (Estadística) --- Programació (Ordinadors) --- Simulació per ordinador --- Teoria de màquines --- Models biològics --- Electrònica a escala molecular --- Electrònica a nanoescala --- Electrònica --- Nanotecnologia --- Sistemes nanoelectromecànics --- Microtecnologia --- Circuits impresos --- Circuits integrats --- Espintrònica --- Mecatrònica --- Teoria de banda d'energia dels sòlids --- Teoria del transport

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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.

Mathematics --- Mathematical physics --- Computer science --- toegepaste wiskunde --- theoretische fysica --- computers --- wiskunde --- fysica --- computerkunde