TY - GEN AB - 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. AU - Nedjalkov, Mihail, AU - Dimov, Ivan, AU - Selberherr, Siegfried, CN - QC175.25.S8 DO - 10.1007/978-3-030-67917-0 DO - doi ID - 1435569 KW - Electron transport KW - Charge carrier processes. KW - Microelectronics KW - Nanoelectronics KW - Monte Carlo method. KW - Électrons KW - Microélectronique KW - Nanoélectronique KW - Méthode de Monte-Carlo. LK - https://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-030-67917-0 N2 - 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. SN - 9783030679170 SN - 3030679179 T1 - Stochastic approaches to electron transport in micro- and nanostructures / TI - Stochastic approaches to electron transport in micro- and nanostructures / UR - https://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-030-67917-0 ER -