Condensation-Driven Aggregation in One Dimension

Details Condensation-Driven Aggregation in One Dimension Condensation-Driven Aggregation in One Dimension

2008-06-30

arxiv.org/abs/0806.4872v1

Phys. Rev. E, {\bf 77} 061404 (2008)

Physics

Condensed Matter

Statistical Mechanics

6 pages, 3 figures

Scientific paper

10.1103/PhysRevE.77.061404

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 transition to dynamic scaling $c(x,t)\sim t^{-\beta}\phi(x/t^z)$. The exponents $\beta$ and $z$ satisfy a generalized scaling relation $\beta=(1+q)z$ where the value of $q$ is fixed by a non-trivial conservation law. We have shown that the value of $(1+q)$ is always less than the value 2 of aggregation without condensation.

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