Analytical Results for Nontrivial Polydispersity Exponents in Aggregation Models

Details Analytical Results for Nontrivial Polydispersity Exponents in Aggregation Models Analytical Results for Nontrivial Polydispersity Exponents in Aggregation Models

1996-07-11

arxiv.org/abs/cond-mat/9607081v1

Physics

Condensed Matter

4 pages RevTeX (multicol.sty needed). No figures

Scientific paper

We study a Smoluchowski equation describing a simple mean-field model of particles moving in $d$ dimensions and aggregating with conservation of `mass' $s=R^D$ ($R$ is the particle radius). In the scaling regime the scaled mass distribution $P(s)\sim s^{-\tau}$, and $\tau$ can be computed by perturbative and non perturbative expansions. A possible application to two-dimensional decaying turbulence is briefly discussed.

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