Complex phase-ordering of the one-dimensional Heisenberg model with conserved order parameter

Abstract

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 $L_V(t)$, while inside these regions smooth rotations associated to a smaller length $L_C(t)$ are observed. Two different and coexisting ordering mechanisms are associated to these lengths, leading to different growth laws $L_V(t)\sim t^{1/3}$ and $L_C(t)\sim t^{1/4}$ violating dynamical scaling.

14 pages, 8 figures. To appear on Phys. Rev. E (2009)

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Cited by in corpus (3)

• Scaling in the Aging Dynamics of the Site-diluted Ising Model
• Phase ordering in disordered and inhomogeneous systems
• Metastability in the Potts model: exact results in the large q limit