title: From microscopic interactions to macroscopic laws of cluster evolution
abstract: We derive macroscopic governing laws of growth velocity, surface tension, mobility, critical nucleus size, and morphological evolution of clusters, from microscopic scale master equations for a prototype surface reaction system with long range adsorbate-adsorbate interactions.
authors.affiliation: Department of Mathematics and Statistics, University of Massachusetts, Amherst, Massachusetts 01003-3110, USA.
authors.initials: MA
authors.lastname: Katsoulakis
authors.initials: DG
authors.lastname: Vlachos