Kinetic percolation

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dc.contributor.author Heinson, W. R.
dc.contributor.author Chakrabarti, Amitabha
dc.contributor.author Sorensen, Christopher M.
dc.date.accessioned 2017-12-12T20:40:48Z
dc.date.available 2017-12-12T20:40:48Z
dc.date.issued 2017-05-05
dc.identifier.uri http://hdl.handle.net/2097/38510
dc.description Citation: Heinson, W. R., Chakrabarti, A., & Sorensen, C. M. (2017). Kinetic percolation. Physical Review E, 95(5), 6. doi:10.1103/PhysRevE.95.052109
dc.description.abstract We demonstrate that kinetic aggregation forms superaggregates that have structures identical to static percolation aggregates, and these superaggregates appear as a separate phase in the size distribution. Diffusion limited cluster-cluster aggregation (DLCA) simulations were performed to yield fractal aggregates with a fractal dimension of 1.8 and superaggregates with a fractal dimension of D = 2.5 composed of these DLCA supermonomers. When properly normalized to account for the DLCA fractal nature of their supermonomers, these superaggregates have the exact same monomer packing fraction, scaling law prefactor, and scaling law exponent (the fractal dimension) as percolation aggregates; these are necessary and sufficient conditions for same structure. The size distribution remains monomodal until these superaggregates form to alter the distribution. Thus the static percolation and the kinetic descriptions of gelation are now unified.
dc.relation.uri https://doi.org/10.1103/PhysRevE.95.052109
dc.rights This Item is protected by copyright and/or related rights. You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s).
dc.rights.uri http://rightsstatements.org/vocab/InC/1.0/
dc.subject Laminar Diffusion Flames
dc.subject Fractal Dimension
dc.subject Gelation
dc.subject Gels
dc.subject Aggregation
dc.subject Physics
dc.title Kinetic percolation
dc.type Article
dc.date.published 2017
dc.citation.doi 10.1103/PhysRevE.95.052109
dc.citation.issn 2470-0045
dc.citation.issue 5
dc.citation.jtitle Physical Review E
dc.citation.spage 6
dc.citation.volume 95
dc.contributor.authoreid amitc
dc.contributor.authoreid sor
dc.contributor.kstate Chakrabarti, Amitabha
dc.contributor.kstate Sorensen, Christopher M.


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