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

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

2009-03-26

arxiv.org/abs/0903.4564v1

Phys. Rev. E 79, 041119 (2009)

Physics

Condensed Matter

Statistical Mechanics

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

Scientific paper

10.1103/PhysRevE.79.041119

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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