Nontrivial Polydispersity Exponents in Aggregation Models
Résumé
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.