Titlebook: Analysis of Charge Transport; A Mathematical Study Joseph W. Jerome Book 1996 Springer-Verlag Berlin Heidelberg 1996 Abweichungs-Diffusions

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A Family of Solution Fixed Point Maps: Partial DecouplingFor the remainder of the book, we restrict our attention to the drift-diffusion model. Moreover, we employ the so-called quasi-Fermi levels, originally introduced in Chap. 2, and designated below by . and .. For our purposes, we shall thus study variants of the following model, discussed in §2.5.

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Nonlinear Convergence Theory for Finite ElementsIn the following chapter (Chap. 6), a very powerful convergence theory will be established for numerical fixed point approximations. It is the goal of the present chapter to show that this framework encompasses the semiconductor device model in the case of constant mobility coefficients and zero recombination terms.

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https://doi.org/10.1007/978-3-540-79130-0and negative ions. The net charge at any point in the device is obtained by combining the ions with the free electron and hole carriers. Thus, an electric field is created via the first Maxwell equation, often called the Poisson equation in the theory of electrostatics. There are also quantum mechan

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