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Summer School on Computational Materials Science
2002
University of Illinois, Urbana-Champaign

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Boltzmann Equation Modeling and Introduction to Monte Carlo Simulation

Dragica Vasileska - vasilesk@imap2.asu.edu

Department of Electrical Engineering

Arizona State University

Outline of Lecture

  1. Boltzmann transport equation (BTE)
    1. Derivation
    2. Collision integral
    3. Scattering theory
  2. Description of various scattering mechanisms
    1. elastic scattering
    2. inelastic scattering
  3. Monte Carlo method for the solution of the BTE
    1. Monte Carlo integration
    2. Generation of random flight times
    3. Choice of scattering event
    4. Choice of final state
    5. Ensemble Monte Carlo simulation
    6. Monte Carlo flow-chart
    7. Inclusion of Pauli exclusion principle
    8. Carrier-carrier scattering
  4. Monte Carlo device simulation
    1. Charge assignment and force interpolation
    2. Motion in real space
    3. Monte Carlo device simulation results
    4. Short-range Coulomb force treatment in particle based simulations 
 
   

Lecture 1

Boltzmann Equation and Monte Carlo Simulation
  Presentation - download (847 KB PDF)

Lab Exercises

 

Download bulk Monte Carlo codes for Si and Ga (57 KB ZIP)

 

Last Updated August 13, 2002
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