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APS » Journals » Phys. Rev. Lett. » Volume 79 » Issue 17
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Phys. Rev. Lett. 79, 3278–3281 (1997)

Scaling Relationships in Agglomeration and Annihilation Models

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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

Received 3 March 1997; published in the issue dated 27 October 1997

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.

© 1997 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.79.3278
DOI:
10.1103/PhysRevLett.79.3278
PACS:
82.20.-w
 
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