@article{bdc274ed107343b8b63393414a0b7511,
title = "The Response of the Hydrodynamic Model to Heat Conduction, Mobility, and Relaxation Expressions",
abstract = "We study simulations of the n+-n-n+ diode, by means of higher moment models, derived from the Boltzmann equation. We emply such realistic assumptions as energy dependent mobility functions, with doping dependent low field mobility. It is known that a critical role is played in the hydrodynamic model by the heat conduction term. When the standard choi{\c c}e of the Wiedemann-Franz law is made for the conductivity, and constant low field mobility values are used, spurious overshoot is observed. Agreement with Monte-Carlo simulation in this regime has in the past been achieved by empirical modification of this law. In this paper, we consider the effect of representing the heat flux by the sum of two terms. It is found that the effect is negligible with respect to overshoot in comparison to that achieved by employing a doping dependent low field mobility. We also compare the hydrodynamic model to recently introduced energy transport models. Finally, in low temperature regimes, we study the dependence of shock formation on the momentum relaxation time representations and on the heat conduction term. The algorithms employed for both models are the essentially nonoscillatoiy (ENO) shock capturing algorithms.",
keywords = "Device simulation, essentially non-oscillatory methods, heat conduction, hydrodynamic model energy transport model, mobility model",
author = "Jerome, {Joseph W.} and Shu, {Chi Wang}",
note = "Funding Information: Jerome Joseph W. 1 Shu Chi-Wang 2 1 Department of Mathematics Northwestern University Evanston, IL 60208 USA northwestern.edu 2 Division of Applied Mathematics Brown University Providence, RI 02912 USA brown.edu 1995 3 2 131 143 01 01 1994 1995 Copyright {\textcopyright} 1995 Hindawi Publishing Corporation We study simulations of the n + - n - n + diode, by means of higher moment models, derived from the Boltzmann equation. We emply such realistic assumptions as energy dependent mobility functions, with doping dependent low field mobility. It is known that a critical role is played in the hydrodynamic model by the heat conduction term. When the standard choice of the Wiedemann-Franz law is made for the conductivity, and constant low field mobility values are used, spurious overshoot is observed. Agreement with Monte-Carlo simulation in this regime has in the past been achieved by empirical modification of this law. In this paper, we consider the effect of representing the heat flux by the sum of two terms. It is found that the effect is negligible with respect to overshoot in comparison to that achieved by employing a doping dependent low field mobility. We also compare the hydrodynamic model to recently introduced energy transport models. Finally, in low temperature regimes, we study the dependence of shock formation on the momentum relaxation time representations and on the heat conduction term. The algorithms employed for both models are the essentially nonoscillatory (ENO) shock capturing algorithms. Device simulation hydrodynamic model energy transport model heat conduction mobility model essentially non-oscillatory methods. http://dx.doi.org/10.13039/100000001 National Science Foundation DMS-9123208 http://dx.doi.org/10.13039/100000001 National Science Foundation ECS-9214488 http://dx.doi.org/10.13039/100000183 Army Research Office DAAL03-91-G-0123 ",
year = "1995",
doi = "10.1155/1995/89680",
language = "English (US)",
volume = "3",
pages = "131--143",
journal = "VLSI Design",
issn = "1065-514X",
publisher = "Hindawi Publishing Corporation",
number = "2",
}