Nonlinear Wave Methods for Charge Transport by Luis L. Bonilla (PDF)

Description

The present book introduces and develops mathematical techniques for the treatment of nonlinear waves and singular perturbation methods at a level that is suitable for graduate students, researchers and faculty throughout the natural sciences and engineering. The practice of implementing these techniques and their value are largely realized by showing their application to problems of nonlinear wave phenomena in electronic transport in solid state materials, especially bulk semiconductors and semiconductor superlattices. The authors are recognized leaders in this field, with more than 30 combined years of contributions.

User’s Reviews

Opiniones editoriales Review “This monograph may be a useful reference for graduate students or researchers from different fields: for condensed matter physicists, applied mathematicians, engineers working in most fields as well as those interested in applications of nonlinear dynamics ideas to describe and analyse scientific problems.” (Contemporary Physics, 8 November 2011) From the Inside Flap The present book introduces and develops mathematical techniques for the treatment of nonlinear waves and singular perturbation methods at a level that is suitable for graduate students, researchers and faculty throughout the natural sciences and engineering. The practice of implementing these techniques and their value are largely realized by showing their application to problems of nonlinear wave phenomena in electronic transport in solid state materials, especially bulk semiconductors and semiconductor superlattices. The authors are recognized leaders in this field, with more than 30 combined years of contributions. From the contents: Dynamical Systems, Bifurcations, and the Chapman-Enskog Method Excitable Media I: Continuum Systems Excitable Media II: Discrete Systems Electronic Transport in Condensed Matter: From Quantum Kinetics to Drift-diffusion Models Electric Field Domains in Bulk Semiconductors I: the Gunn Effect Electric Field Domains in Bulk Semiconductors II: Trap-mediated Instabilities Nonlinear Dynamics in Semiconductor Superlattices Nonlinear Wave Methods for Related Systems in the Physical World From the Back Cover The present book introduces and develops mathematical techniques for the treatment of nonlinear waves and singular perturbation methods at a level that is suitable for graduate students, researchers and faculty throughout the natural sciences and engineering. The practice of implementing these techniques and their value are largely realized by showing their application to problems of nonlinear wave phenomena in electronic transport in solid state materials, especially bulk semiconductors and semiconductor superlattices. The authors are recognized leaders in this field, with more than 30 combined years of contributions. From the contents: Dynamical Systems, Bifurcations, and the Chapman-Enskog Method Excitable Media I: Continuum Systems Excitable Media II: Discrete Systems Electronic Transport in Condensed Matter: From Quantum Kinetics to Drift-diffusion Models Electric Field Domains in Bulk Semiconductors I: the Gunn Effect Electric Field Domains in Bulk Semiconductors II: Trap-mediated Instabilities Nonlinear Dynamics in Semiconductor Superlattices Nonlinear Wave Methods for Related Systems in the Physical World About the Author Luis L. Bonilla received his Ph.D. in physics from the Universidad Nacional de Educación a Distancia (UNED), Madrid, in 1981. After conducting postdoctoral research for three years at the Mathematics Department at Stanford University, he took positions as associate professor at the Universities of Sevilla and Barcelona, both Spain. In 1992, he accepted his current post of Professor of Applied Mathematics at the University Carlos III in Madrid. Professor Bonilla’s research interests lie in the modeling and asymptotic analysis of nonlinear problems in condensed matter physics, including electronic and mechanical properties. He is the author and co-author of more than 180 research papers and book chapters. Stephen W. Teitsworth received his Ph.D. in Physics in 1986 from Harvard University, where he also carried out postdoctoral research. For the past several years, he has been a faculty member of the Physics department at Duke University. His current research interests center on experimental and theoretical studies of nonlinear electronic transport and optoelectronic properties of semiconductor-based materials, with a focus on spatially periodic systems such as superlattices. Leer más

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