From Microscopic Interactions to Macroscopic Laws of Cluster Evolution

Markos A. Katsoulakis; Dionisios G. Vlachos

doi:10.1103/PhysRevLett.84.1511

From Microscopic Interactions to Macroscopic Laws of Cluster Evolution

Markos A. Katsoulakis and Dionisios G. Vlachos

Phys. Rev. Lett. 84, 1511 – Published 14 February 2000

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.

Received 8 July 1999

DOI:https://doi.org/10.1103/PhysRevLett.84.1511

Authors & Affiliations

Markos A. Katsoulakis^1,* and Dionisios G. Vlachos²

¹Department of Mathematics and Statistics, University of Massachusetts, Amherst, Massachusetts 01003-3110
²Department of Chemical Engineering, University of Massachusetts, Amherst, Massachusetts 01003-3110