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arXiv · 0903.4564

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

R. Burioni·F. Corberi·A. Vezzani
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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.

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R. Burioni, F. Corberi, A. Vezzani. 2009-03-26. Complex phase-ordering of the one-dimensional Heisenberg model with conserved order parameter. https://doi.org/10.1103/physreve.79.041119

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