Abstract
In this paper we compare the well-known and widely used hydrodynamical model of Blotekjaer-Baccarani-Worderman (BBW model) with a new hydrodynamical model recently proposed by Anile, Liotta and Mascali (ALM model). The benchmark utilized is a standard two-dimensional MESFET already employed in computational studies. Suitable numerical methods for hyperbolic systems of balance laws have been used.
Highlights
In modern electron devices, because of the presence of very high and rapidly varying electric fields, phenomena occur which cannot be described by means of the standard drift-diffusion (DD) models
One of the earlier and more widely known hydrodynamical models was put forward by Blotekjaer and subsequently investigated by Baccarani and Wordeman and by other authors (BBW model) [1, 2]. This model is implemented in simulation codes currently used in microelectronics industry. It consists of a set of balance equations for carrier density, momentum and energy obtained from the Boltzmann transport equation in the parabolic band approximation, closed by an assumed Fourier law as constitutive equation for the heat flux
The production terms for momentum and energy are assumed to be of the relaxation type and the relaxation times are obtained by phenomenological arguments
Summary
Suitable numerical methods for hyperbolic systems of balance laws have been used
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