  Many-body quantum systems far from equilibrium can exhibit universal scaling
dynamics which defy standard classification schemes. Here, we disentangle the
dominant excitations in the universal dynamics of highly-occupied $N$-component
scalar systems using unequal-time correlators. While previous equal-time
studies have conjectured the infrared properties to be universal for all $N$,
we clearly identify for the first time two fundamentally different phenomena
relevant at different $N$. We find all $N\geq3$ to be indeed dominated by the
same Lorentzian ``large-$N$'' peak, whereas $N=1$ is characterized instead by a
non-Lorentzian peak with different properties, and for $N=2$ we see a mixture
of two contributions.
