Scaling Relationships in Agglomeration and Annihilation Models

Michael R. Swift; Francesca Colaiori; Alessandro Flammini; Amos Maritan; Achille Giacometti; Jayanth R. Banavar

doi:10.1103/PhysRevLett.79.3278

Scaling Relationships in Agglomeration and Annihilation Models

Michael R. Swift, Francesca Colaiori, Alessandro Flammini, Amos Maritan, Achille Giacometti, and Jayanth R. Banavar

Phys. Rev. Lett. 79, 3278 – Published 27 October 1997

Abstract

A relation between two exponents characterizing the scaling behavior of random agglomeration models with particle injection is proposed and verified by numerical simulations. This relation, and a link between diffusion-limited agglomeration models with and without injection combined with an exact solution of the latter, leads to a solution of the former in arbitrary dimensionality.

Received 3 March 1997

DOI:https://doi.org/10.1103/PhysRevLett.79.3278

Authors & Affiliations

Michael R. Swift¹, Francesca Colaiori¹, Alessandro Flammini¹, Amos Maritan¹, Achille Giacometti², and Jayanth R. Banavar³

¹Istituto Nazionale di Fisica della Materia, International School for Advanced Studies, I-34014 Grignano di Trieste and sezione INFN di Trieste, Italy
²Dipartimento di Scienze Ambientali, Universita' degli Studi di Venezia, I-30123 Venezia, Italy
³Department of Physics and Center for Materials Physics, The Pennsylvania State University, 104 Davey Laboratory, University Park, Pennsylvania 16802