Self-sharpening distributions revisited-polydispersity in growth by monomer addition

Themis Matsoukas, Erdogan Gulari

Research output: Contribution to journalArticlepeer-review

59 Scopus citations


Using the population balance method we investigated the dependence of polydispersity on the growth law that governs the size increase of particles. Using a power-law kernel Ki ∼ iα (where i is the mass of the particle) explicit results are derived for two limiting cases of constant kernel α = 0.0 and proportional kernel α = 1.0. For the constant kernel the normalized variance decreases in time. For the proportional kernel the variance increases during growth. In the two transition regions of weak kernels α < 0.5 and strong kernels α > 0.5, the polydispersity approaches the asymptotic values of the constant and proportional kernels. In the transition regions the growth law cannot be deduced from the polydispersity.

Original languageEnglish (US)
Pages (from-to)557-562
Number of pages6
JournalJournal of Colloid And Interface Science
Issue number2
StatePublished - Sep 1991

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Biomaterials
  • Surfaces, Coatings and Films
  • Colloid and Surface Chemistry


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