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Contents

• List of Figures
• 1 Introduction
• 2 Growth of Silicon and the Formation of Dimer Rows
  • 2.1 Steps
  
  
• 3 Diffusion and Desorption
  • 3.1 Theory
  
  
• 4 Our KMC Approach
• 5 Algorithmic Issues
  • 5.1 Particle Placement
  • 5.2 Particle Movement
  
  
• 6 Implementation Issues
  • 6.1 Spatial Binning and Particle Storage
  • 6.2 Kinetic Monte-Carlo Move List
  • 6.3 Surface Geometry
  
  
• 7 Running our KMC Code
• 8 Code Validation and Verification
• 9 Computational Experiments
  • 9.1 Experimental Methodology
  • 9.2 Experimental Results
  
  
• 10 Conclusions and Future Work
• Bibliography