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Lecture 7: The Boltzmann Transport Equation

By Mark Lundstrom

Electrical and Computer Engineering, Purdue University, West Lafayette, IN

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Semi-classical carrier transport is traditionally described by the Boltzmann Transport Equation (BTE). In this lecture, we present the BTE, show how it is solved, and relate it to the Landauer Approach used in these lectures. As an example of the use of the BTE, the conductivity in the presence of an applied B-field is derived.


  • Introduction
  • The BTE
  • Solving the Steady State BTE
  • Transport coefficients
  • Magnetic fields
  • Discussion
  • Summary

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Electronics from the Bottom Up” is an educational initiative designed to bring a new perspective to the field of nano device engineering. It is co-sponsored by the Intel Foundation and the Network for Computational Nanotechnology.

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Researchers should cite this work as follows:

  • Mark Lundstrom (2011), "Lecture 7: The Boltzmann Transport Equation,"

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Burton Morgan 121, Purdue University, West Lafayette, IN

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