1. Polydispersity Exponent in Homogeneous Droplet Growth
- Author
-
John A. Blackman and Brochard S
- Subjects
Condensed Matter::Soft Condensed Matter ,Physics::Fluid Dynamics ,Surface (mathematics) ,Materials science ,Distribution (number theory) ,Homogeneous ,Chemical physics ,Dispersity ,Physics::Atomic and Molecular Clusters ,Exponent ,General Physics and Astronomy ,Curse of dimensionality - 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.
- Published
- 2000
- Full Text
- View/download PDF