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arXiv · 0806.4872

Condensation-Driven Aggregation in One Dimension

M. K. Hassan·M. Z. Hassan
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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 transition to dynamic scaling $c(x,t)\sim t^{-β}ϕ(x/t^z)$. The exponents $β$ and $z$ satisfy a generalized scaling relation $β=(1+q)z$ 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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BibTeXRIS

M. K. Hassan, M. Z. Hassan. 2008-06-30. Condensation-Driven Aggregation in One Dimension. https://doi.org/10.1103/physreve.77.061404

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