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Copyright: © 2017
|Pages: 66

DOI: 10.4018/978-1-5225-2312-3.ch002

Top## 1. Overview And Chapter Objectives

*(1a)**(1b)**(1c)**Figure 2. *

The semiclassical approach is suitable for semiconductor devices whose feature dimensions are much greater than the mean free path between collisions (*L >> λ _{e}*). In silicon devices, where the electron mean free path

In classical statistical mechanics, the state of a particle is completely defined at a certain time *t* as a point in a space of *six* coordinates, called the phase-space (sometimes called the *μ*-space). The *six* coordinates of the phase-space are the position and momentum coordinates (*x, y, z, p _{x}, p_{y}*,

Evidently the momentum ** p** and velocity

Schematic illustration of a fiction distribution functions in the phase-space (**x**=x,y,z, and **p**=p_{x},p_{y},p_{z}) at a certain moment t = t_{o}

The semiclassical transport theory is based on the ensemble concept and the Boltzmann transport equation (BTE), which describes the evolution of the distribution function *f*(*x, k, t*) of a gas of particles under nonequilibrium conditions. The ensemble concept shows that a macroscopic observation is consistent with a very large number of microscopic configurations (particles), which are represented by points in the phase space. The ensemble therefore is basically represented by a normalized density distribution function *f*(*x, k, t*) in the phase-space.

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