Titlebook: Stochastic Approaches to Electron Transport in Micro- and Nanostructures; Mihail Nedjalkov,Ivan Dimov,Siegfried Selberherr Book 2021 Sprin

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General Transport: Self-Consistent Mixed Problemand proper trajectory evolution probabilities are chosen. The . allows to consider the problem of variance of the stochastic process and thus to estimate the carrier number fluctuations in desired device regions. The in this section presented analysis paves the way for development of self-consistent event biasing algorithms.

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Essential

The Semiconductor Model: Fundamentalsion. These elements are the band structure, the mechanisms for interaction with the lattice, and a set of material parameters characterizing the semiconductor. Details about these concepts can be found in the many textbooks on solid-state physics, such as B. Ridley (Electrons and Phonons in Semicond

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Transport Theories in Phase Space in order to devise algorithms for solving them. For this purpose we focus on the heuristic aspects of the physical assumptions about the transport system, which give rise to clearly formulated mathematical models. The derivation of the classical Boltzmann equation is presented in terms of particles

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Monte Carlo Computingbility theory and statistics. They are marked in . and defined in the appendix in the case that the reader wants to refresh his insight on the subject during reading this section. Where possible, we tried to synchronize the notations used in the probability theory with these used in the here present

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Homogeneous Transport: Empirical Approachss homogeneous simulations provide important semiconductor characteristics such as the dependence of the physical quantities on the time, applied field, carrier energy, temperature, and crystal orientation. Of basic importance are quantities, which are input parameters for the macroscopic models suc

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Homogeneous Transport: Stochastic Approachzmann equation. It has been shown that the . or the . stochastic processes recover the solution of the corresponding stationary or transient Boltzmann equation. The alternative strategy, where the algorithm is based on a particular form of the transport equation has been established by the . and the

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