Investigating the von Neumann–Mullins relation under triple junction dragging

Abstract The influence of triple junction mobility on the rate of size change is investigated by square-lattice Monte Carlo Potts model simulations. For normal, grain-boundary-controlled grain growth the classical von Neumann–Mullins relation ( A ∝ n - n c ) is fulfilled for individual polyhedral grains as well as for polycrystalline grain microstructures. For triple-junction-controlled grain growth the number of neighboring grains is related self-similarly to the radius change rate ( R ∝ ( n - n c ) / n ), which is also shown to be fulfilled for individual grains and polycrystalline microstructures.