Abstract
Strong dynamical
scaling violations exist in quenched two-dimensional systems with
vector O(3) order parameters. These systems
support non-singular topologically stable configurations
(skyrmions). By tuning the stability of isolated skyrmions to
expand or shrink, we find dramatic differences in the dynamical multiscaling
spectrum of decaying moments ⟨|ρ|n⟩
of the topological charge density distribution
and in particular in the decay of the energy density
∼ ⟨|ρ|⟩. We present a simple two–length-scale
model for the observed exponents in the case when isolated skyrmions expand.
No such simple model is found when isolated skyrmions shrink.