Dynamic scaling in one-dimensional cluster-cluster aggregation
dc.contributor | Aalto-yliopisto | fi |
dc.contributor | Aalto University | en |
dc.contributor.author | Hellén, E. K. O. | |
dc.contributor.author | Simula, T. P. | |
dc.contributor.author | Alava, Mikko J. | |
dc.contributor.department | Teknillisen fysiikan laitos | fi |
dc.contributor.department | Department of Applied Physics | en |
dc.contributor.school | Perustieteiden korkeakoulu | fi |
dc.contributor.school | School of Science | en |
dc.date.accessioned | 2015-12-02T10:02:27Z | |
dc.date.available | 2015-12-02T10:02:27Z | |
dc.date.issued | 2000 | |
dc.description.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. | en |
dc.description.version | Peer reviewed | en |
dc.format.extent | 4752-4756 | |
dc.format.mimetype | application/pdf | en |
dc.identifier.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. | en |
dc.identifier.doi | 10.1103/physreve.62.4752 | |
dc.identifier.issn | 1539-3755 (printed) | |
dc.identifier.uri | https://aaltodoc.aalto.fi/handle/123456789/18932 | |
dc.identifier.urn | URN:NBN:fi:aalto-201512015462 | |
dc.language.iso | en | en |
dc.publisher | American Physical Society (APS) | en |
dc.relation.ispartofseries | Physical Review E | en |
dc.relation.ispartofseries | Volume 62, Issue 4 | |
dc.rights | © 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. | en |
dc.rights.holder | American Physical Society (APS) | |
dc.subject.keyword | aggregation model | en |
dc.subject.keyword | diffusion | en |
dc.subject.keyword | ballistics | en |
dc.subject.keyword | digital simulations | en |
dc.subject.other | Photography | en |
dc.title | Dynamic scaling in one-dimensional cluster-cluster aggregation | en |
dc.type | A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä | fi |
dc.type.dcmitype | text | en |
dc.type.version | Final published version | en |
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