  We explore the effects of surface tension and mobility models in simulations
of grain growth using threshold dynamics algorithms that allow performing large
scale simulations, while naturally capturing the Herring angle condition at
junctions and automatically handling topological transitions. The results
indicate that in two dimensions, the different surface tension / mobility
models considered do not play a significant role in the stationary grain size
distribution. However, in three dimensions, there is a substantial difference
between the distributions obtained from the same three models, depending on
whether the reduced mobilities are isotropic or anisotropic. Additional results
show that in three dimensions, the misorientation distribution function of a
grain network with random orientation texture returns to the close vicinity of
the Mackenzie distribution even if started very far from it.
