Abstract
We propose a model for aggregation where particles are continuously growing by heterogeneous condensation in one dimension, and solve it exactly. We show that the particle size spectra exhibit a transition to dynamic scaling c(x,t) approximately t-beta phi(x/tz) . The exponents beta and z satisfy a generalized scaling relation beta=(1+q)z where the value of q is fixed by a nontrivial conservation law. We show that the value of 1+q is always less than the value 2 for aggregation without condensation.
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