We study the phase-ordering kinetics of the one-dimensional Heisenberg model with conserved order parameter by means of scaling arguments and numerical simulations. We find a rich dynamical pattern with a regime characterized by two distinct growing lengths. Spins are found to be coplanar over regions of a typical size $L_V\left(t\right)$, while inside these regions smooth rotations associated to a smaller length $L_C\left(t\right)$ are observed. Two different and coexisting ordering mechanisms are associated to these lengths, leading to different growth laws $L_V\left(t\right)\sim t^{1/3}$ and $L_C\left(t\right)\sim t^{1/4}$ violating dynamical scaling.

• Received 21 May 2008

DOI:https://doi.org/10.1103/PhysRevE.79.041119