Dynamic scaling in one-dimensional cluster-cluster aggregation
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© 2000 American Physical Society (APS). This is the accepted version of the following article: Hellén, E. K. O. & Simula, T. P. & Alava, Mikko J. 2000. Dynamic scaling in one-dimensional cluster-cluster aggregation. Physical Review E. Volume 62, Issue 4. 4752-4756. ISSN 1539-3755 (printed). DOI: 10.1103/physreve.62.4752, which has been published in final form at http://journals.aps.org/pre/abstract/10.1103/PhysRevE.62.4752.
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School of Science |
A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
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Date
2000
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Mcode
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Language
en
Pages
4752-4756
Series
Physical Review E, Volume 62, Issue 4
Abstract
We study the dynamic scaling properties of an aggregation model in which particles obey both diffusive and driven ballistic dynamics. The diffusion constant and the velocity of a cluster of size s follow D(s)∼sγ and v(s)∼sδ, respectively. We determine the dynamic exponent and the phase diagram for the asymptotic aggregation behavior in one dimension in the presence of mixed dynamics. The asymptotic dynamics is dominated by the process that has the largest dynamic exponent with a crossover that is located at δ=γ−1. The cluster size distributions scale similarly in all cases but the scaling function depends continuously on γ and δ. For the purely diffusive case the scaling function has a transition from exponential to algebraic behavior at small argument values as γ changes sign, whereas in the drift dominated case the scaling function always decays exponentially.Description
Keywords
aggregation model, diffusion, ballistics, digital simulations
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Citation
Hellén, E. K. O. & Simula, T. P. & Alava, Mikko J. 2000. Dynamic scaling in one-dimensional cluster-cluster aggregation. Physical Review E. Volume 62, Issue 4. 4752-4756. ISSN 1539-3755 (printed). DOI: 10.1103/physreve.62.4752.
