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Using a cell dynamic system (CDS) simulation scheme, we investigate thephase-ordering dynamics of non-conserved O(n) models without topologicaldefects, i.e. for $n > d+1$ where $d$ is the spatial dimensionality. Inparticular, we consider zero-temperature quenches for $d=2$, $n=4,5$, and for$d=1$, $n=3,4,5$. We find, in agreement with previous simulations usingfixed-length spins, that dynamical scaling is obtained, with characteristiclength $L(t) = t^{1/2}$. We show that the asymptotic behaviour of thestructure-factor scaling function $g(q)$ is well fitted by the stretchedexponential form $g(q)\sim \exp(-bq^\delta)$, with an exponent $\delta$ thatappears to depend on both n and d. An analytical treatment of an approximatelarge-N equation for the pair correlation function yields $g(q) \simq^{-(d-1)/2}\exp(-bq)$, with $b \sim (\ln n)^{1/2}$ for large $n$, in agreementwith recent simulations of the same equation.Comment: Latex, 22 pages, 10 figure

Structure factor tail for the ordering kinetics of nonconserved systems without topological defects