Thermodynamic derivation of the hydrodynamical model for charge transport in semiconductors

15 November 1992

journal article
research article
Published by American Physical Society (APS) in Physical Review B

Vol. 46 (20) , 13186-13193
https://doi.org/10.1103/physrevb.46.13186

Abstract

A thermodynamic derivation is given of the hydrodynamical model describing charge-carrier transport in semiconductors. The set of moment equations is closed by utilizing the principles of extended thermodynamics. The method of Maxwellian iteraton yields, then, hydrodynamical-like equations with constitutive equations for the heat flux and anisotropic stresses.

Keywords

This publication has 18 references indexed in Scilit:

Hydrodynamic electron-transport model: Nonparabolic corrections to the streaming terms
Physical Review B, 1991
Hydrodynamic equations for semiconductors with nonparabolic band structure
IEEE Transactions on Electron Devices, 1991
Numerical simulation of a steady-state electron shock wave in a submicrometer semiconductor device
IEEE Transactions on Electron Devices, 1991
The Drift Diffusion Equation and Its Applications in MOSFET Modeling
Published by Springer Nature ,1991
Investigation of non‐local transport phenomena in small semiconductor devices
European Transactions on Telecommunications, 1990
Numerical methods for the hydrodynamic device model: subsonic flow
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems, 1989
A new discretization strategy of the semiconductor equations comprising momentum and energy balance
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems, 1988
NUMERICAL SOLUTION OF THE HYDRODYNAMIC MODEL FOR A ONE‐DIMENSIONAL SEMICONDUCTOR DEVICE
COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, 1987
The hot-electron problem in small semiconductor devices
Journal of Applied Physics, 1986
MULTI‐DIMENSIONAL DISCRETIZATION SCHEME FOR THE HYDRODYNAMIC MODEL OF SEMICONDUCTOR DEVICES
COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, 1986