title: Polydispersity exponent in homogeneous droplet growth
abstract: The homogeneous growth of D-dimensional hyperspherical droplets on a d-dimensional surface produces a bimodal distribution in the sizes of the droplets, with a roughly monodispersed distribution of larger droplets superimposed on a highly polydisperse distribution of smaller ones. The polydisperse regime is characterized by an exponent, which also determines the total droplet density. The exponent is evaluated, and it is deduced that d = 3 represents an upper critical dimensionality.
authors.affiliation: Department of Physics, University of Reading, Whiteknights, Reading RG6 6AF, United Kingdom.
authors.initials: JA
authors.lastname: Blackman
authors.initials: S
authors.lastname: Brochard