Summary of key points¶

Modeling and Analysis¶

• Model normal isotropic grain growth using the potts model
• spparks can run serial or parallel, 2- or 3D
• Visualize grains using paraview or render images directly from spparks
• Post process dump files for analysis

Rules of Thumb for Potts Model¶

• Use large number of spin values \(Q\) (thousands)
• Use temperatures \(T_f\leq kT\leq T_r\)

• \(T_r, T_f\) depend on lattice and dimensionality

  • \(T_f\), mesh pinning temperature
  • \(T_r\), grain boundary roughening temperature

• Trends as \(kT\) increases:

  • Rate of grain growth increases
  • Standard deviation \(\sigma\) may decrease

• For \(kT\gt T_r\)

  • Model exhibits grain boundary roughening
  • Excessive single site grains

• For \(kT\lt T_f\)

  • Grain exhibit mesh pinning
  • Grains lock onto underlying lattice;

• Visualize grains

• Plot distributions