Scaling properties of the dynamical structure factor of percolating Heisenberg antiferromagnets

The scaling behavior of the dynamical structure factor S(q,\ensuremath{\omega}) of percolating Heisenberg antiferromagnets is investigated in terms of a dynamic scaling argument and numerical calculations. It is found, based on the single-length-scaling postulate, that the asymptotic behavior of S(q,\ensuremath{\omega}) can be characterized by only two exponents: the dynamic exponent ${\mathit{z}}_{\mathit{a}}$ and a new exponent y. This theoretical prediction is confirmed by direct numerical calculations. The values of the exponents ${\mathit{z}}_{\mathit{a}}$ and y are determined for the case of d=2 percolating Heisenberg antiferromagnets.