A Hydrodynamic Model for Silicon Nanowires Based on the Maximum Entropy Principle

Full nonlinear closure for a hydrodynamic model of transport in silicon

We derive, using the entropy maximum principle, an expression for the distribution function of carriers as a function of a set of macroscopic quantities ~density, velocity, energy, deviatoric stress, heat flux!. Given the distribution function, we can obtain a hydrodynamic model in which all the constitutive functions ~fluxes and collisional productions! are explicitly computed starting from th...

Simulation of Submicron Silicon Diodes With a Non-Parabolic Hydrodynamical Model Based on the Maximum Entropy Principle

A hydrodynamical model for holes in silicon semiconductors: The case of non-parabolic warped bands

In this paper we present a hydrodynamical model which describes hole motion in silicon. The model is based on the moment method and the closure of the system of moment equations is obtained by using the maximum entropy principle (hereafter MEP). The heavy, light and split-off valence bands are considered. The first two are described by taking into account their warped shape, while for the split...

Maximum Entropy Analysis for G/G/1 Queuing System (TECHNICAL NOTE)

This paper provides steady state queue-size distribution for a G/G/1 queue by using principle of maximum entropy. For this purpose we have used average queue length and normalizing condition as constraints to derive queue-size distribution. Our results give good approximation as demonstrated by taking a numerical illustration. In particular case when square coefficient of variation of inter-arr...

A Note on the Bivariate Maximum Entropy Modeling

Let X=(X1 ,X2 ) be a continuous random vector. Under the assumption that the marginal distributions of X1 and X2 are given, we develop models for vector X when there is partial information about the dependence structure between X1  and X2. The models which are obtained based on well-known Principle of Maximum Entropy are called the maximum entropy (ME) mo...