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We revisit a simple lattice model of aggregation in which masses diffuse andcoalesce upon contact with rate 1 and every nonzero mass chips off a singleunit of mass to a randomly chosen neighbour with rate $w$. The dynamicsconserves the average mass density $\rho$ and in the stationary state thesystem undergoes a nonequilibrium phase transition in the $(\rho-w)$ planeacross a critical line $\rho_c(w)$. In this paper, we show analytically that inarbitrary spatial dimensions, $\rho_c(w) = \sqrt{w+1}-1$ exactly and hence,remarkably, independent of dimension. We also provide direct and indirectnumerical evidence that strongly suggest that the mean field asymptotic answerfor the single site mass distribution function and the associated criticalexponents are super-universal, i.e., independent of dimension.Comment: 11 pages, RevTex, 3 figure

Exact phase diagram of a model with aggregation and chipping