Abstract
In recent work we have developed an approximate approach to simulating electron transport in semiconductors in regimes in which quantum effects are important [1]. This approach is a macroscopic or “hydrodynamic” approach known as density—gradient (DG) theory. Through detailed comparisons with quantum mechanics, we have shown DG theory to have a useful range of applicability which encompasses a variety of important quantum transport phenomena [1]. In addition to representing a new and possibly useful approach to quantum transport simulation, DG theory is of interest as a mathematical theory as well. In this paper, we focus on these mathematical aspects.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
M. Ancona and H. Tiersten, Phys. Rev. B35, 7959 (1987) and NRL Memo Report #6444 (1989); M. Ancona, to appear, Phys. Rev. (1990) and Superlat. and Microstr. (1990)
M. Ancona and G. Iafrate, Phys. Rev. B39, 9536 (1989).
P. Markowitch, The Stationary Semiconductor Device Equations, Springer-Verlag, New York (1986), Ch. 4.
C. Bender and S. Orszag, Advanced Mathematical Methods for Scientists and Engineers, McGraw-Hill, New York (1978).
J. Simmons, J. Appl. Phys. 34,1793 (1963).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1991 Springer Science+Business Media New York
About this chapter
Cite this chapter
Ancona, M.G. (1991). Asymptotic Structure of the Density-Gradient Theory of Quantum Transport. In: Hess, K., Leburton, J.P., Ravaioli, U. (eds) Computational Electronics. The Springer International Series in Engineering and Computer Science, vol 113. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-2124-9_52
Download citation
DOI: https://doi.org/10.1007/978-1-4757-2124-9_52
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4419-5122-9
Online ISBN: 978-1-4757-2124-9
eBook Packages: Springer Book Archive