3.2 The Basic Equations

In this section, the two cornerstones of semi-classical device simulation are given -- Poisson's equation and Boltzmann's equation. While electrostatics is covered by Poisson's equation, Boltzmann's equation describes the propagation of the distribution function within a simulation domain. These two equations are solved in a self consistent manner for example in Monte-Carlo simulators, often used as a reference for higher-order transport models which are derived from the Boltzmann transport equation as well.

Subsections

• 3.2.1 Poisson's Equation
• 3.2.2 Boltzmann's Equation
  • 3.2.2.1 Phenomenological Approach
  • 3.2.2.2 Validity

M. Wagner: Simulation of Thermoelectric Devices