Nonlinear Wave Methods for Charge Transport

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.

1. Introduction
2. Ordinary Differential Equations and Asymptotic Methods
3. Excitable Media 1: Pulses, Fronts, Wave Trains in Continuous Media
4. Excitable Media 2: Discrete Systems
5. Electronic Transport in Condensed Matter: From Quantum Kinetics to Drift-Diffusion Models
6. Bulk Semiconductor Systems: The Gunn Effect
7. Bulk Semiconductor Systems: The Case of Field-Dependent Trapping
8. Semiconductor Superlattices
9. Application to other Systems and the Road ahead
Appendix A: Review of Basic Concepts of Solid State Physics
Appendix B: Detailed Arguments to go from Quantum Kinetic Equations to Boltzmann Transport
Appendix C: Details and Examples of Numerical Methods employed for Simulation
Appendix D: Glossary of Terms

"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)