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We study the transient between a fully disordered initial condition and apercolating structure in the low-temperature non-conserved order parameterdynamics of the bi-dimensional Ising model. We show that a stable structure ofspanning clusters establishes at a time $t_p \simeq L^{\alpha_p}$. Ournumerical results yield $\alpha_p=0.50(2)$ for the square and kagome,$\alpha_p=0.33(2)$ for the triangular and $\alpha_p=0.38(5)$ for the bowtie-alattices.We generalise the dynamic scaling hypothesis to take into account thisnew time-scale. We discuss the implications of these results for othernon-equilibrium processes.

How soon after a zero-temperature quench is the fate of the Ising model sealed?