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We propose a novel island nucleation and growth model explicitly includingtransient (ballistic) mobility of the monomers deposited at rate $F$, assumedto be in a hot precursor state before thermalizing. In limiting regimes,corresponding to fast (diffusive) and slow (ballistic) thermalization, theisland density $N$ obeys scaling $N \propto F^\alpha$. In between is found arich, complex behavior, with various distinctive scaling regimes, characterizedby effective exponents $\alpha_{\rm eff}$ and activation energies that wecompute exactly. Application to $N(F,T)$ of recent organic-molecule depositionexperiments yields an excellent fit.

How "hot precursors" modify island nucleation: A rate-equations model