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Two exponents, $\delta$, for size distribution of $n$-atom clusters,$Y(n)\sim n^{-\delta}$, have been found in Au clusters sputtered from embeddedAu nanoparticles under swift heavy ion irradiation. For small clusters, below12.5 nm in size, $\delta$ has been found to be 3/2, which can be rationalizedas occurring from a steady state aggregation process with size independentaggregation. For larger clusters, a $\delta$ value of 7/2 is suggested, whichmight come from a dynamical transition to another steady state whereaggregation and evaporation rates are size dependent. In the present case, theobserved decay exponents do not support any possibility of a thermodynamicliquid-gas type phase transition taking place, resulting in cluster formation.

Observation of a Universal Aggregation Mechanism and a Possible Phase Transition in Au Sputtered by Swift Heavy Ions