Peter A. Markowich's Books

Semiconductor Equations

By: Peter A. Markowich,Christian A. Ringhofer,Christian Schmeiser

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Semiconductor Equations

By: Peter A. Markowich,Christian A. Ringhofer,Christian Schmeiser

In recent years the mathematical modeling of charge transport in semi conductors has become a thriving area in applied mathematics. The drift diffusion equations, which constitute the most popular model for the simula tion of the electrical behavior of semiconductor devices, are by now mathe matically quite well understood. As a consequence numerical methods have been developed, which allow for reasonably efficient computer simulations in many cases of practical relevance. Nowadays, research on the drift diffu sion model is of a highly specialized nature. It concentrates on the explora tion of possibly more efficient discretization methods (e.g. mixed finite elements, streamline diffusion), on the improvement of the performance of nonlinear iteration and linear equation solvers, and on three dimensional applications. The ongoing miniaturization of semiconductor devices has prompted a shift of the focus of the modeling research lately, since the drift diffusion model does not account well for charge transport in ultra integrated devices. Extensions of the drift diffusion model (so called hydrodynamic models) are under investigation for the modeling of hot electron effects in submicron MOS-transistors, and supercomputer technology has made it possible to employ kinetic models (semiclassical Boltzmann-Poisson and Wigner Poisson equations) for the simulation of certain highly integrated devices.

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Page Count

261

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3709169615

ISBN 13

9783709169612

Intrinsic Point Defects, Impurities, and Their Diffusion in Silicon

By: Peter Pichler

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Intrinsic Point Defects, Impurities, and Their Diffusion in Silicon

By: Peter Pichler

This book contains the first comprehensive review of intrinsic point defects, impurities and their complexes in silicon. Besides compiling the structures, energetic properties, identified electrical levels and spectroscopic signatures, and the diffusion behaviour from investigations, it gives a comprehensive introduction into the relevant fundamental concepts.

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576

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3709105978

ISBN 13

9783709105979

Applied Partial Differential Equations:

A Visual Approach

By: Peter Markowich

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Applied Partial Differential Equations:

A Visual Approach

By: Peter Markowich

This book presents topics of science and engineering which occur in nature or are part of daily life. It describes phenomena which are modelled by partial differential equations, relating to physical variables like mass, velocity and energy, etc. to their spatial and temporal variations. The author has chosen topics representing his career-long interests, including the flow of fluids and gases, granular flows, biological processes like pattern formation on animal skins, kinetics of rarified gases and semiconductor devices. Each topic is presented in its scientific or engineering context, followed by an introduction of applicable mathematical models in the form of partial differential equations.

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Page Count

210

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3540346465

ISBN 13

9783540346463

Book's by Peter A. Markowich

Semiconductor Equations

Semiconductor Equations

Intrinsic Point Defects, Impurities, and Their Diffusion in Silicon

Intrinsic Point Defects, Impurities, and Their Diffusion in Silicon

Applied Partial Differential Equations:

Applied Partial Differential Equations:

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