Universality in boundary domain growth by sudden bridging

We report on universality in boundary domain growth in cluster aggregation in the limit of maximum concentration. Maximal concentration means that the diffusivity of the clusters is effectively zero and, instead, clusters merge successively in a percolation process, which leads to a sudden growth of...

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Main Authors:	Saberi, A. A., Rahbari, S. H. Ebrahimnazhad, Dashti-Naserabadi, H., Abbasi, A., Cho, Y. S., Nagler, J.
Format:	Online
Language:	English
Published:	Nature Publishing Group 2016
Online Access:	https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4761969/

id	pubmed-4761969
recordtype	oai_dc
spelling	pubmed-47619692016-02-29 Universality in boundary domain growth by sudden bridging Saberi, A. A. Rahbari, S. H. Ebrahimnazhad Dashti-Naserabadi, H. Abbasi, A. Cho, Y. S. Nagler, J. Article We report on universality in boundary domain growth in cluster aggregation in the limit of maximum concentration. Maximal concentration means that the diffusivity of the clusters is effectively zero and, instead, clusters merge successively in a percolation process, which leads to a sudden growth of the boundary domains. For two-dimensional square lattices of linear dimension L, independent of the models studied here, we find that the maximum of the boundary interface width, the susceptibility χ, exhibits the scaling χ ~ Lγ with the universal exponent γ = 1. The rapid growth of the boundary domain at the percolation threshold, which is guaranteed to occur for almost any cluster percolation process, underlies the the universal scaling of χ. Nature Publishing Group 2016-02-22 /pmc/articles/PMC4761969/ /pubmed/26899304 http://dx.doi.org/10.1038/srep21110 Text en Copyright © 2016, Macmillan Publishers Limited http://creativecommons.org/licenses/by/4.0/ This work is licensed under a Creative Commons Attribution 4.0 International License. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in the credit line; if the material is not included under the Creative Commons license, users will need to obtain permission from the license holder to reproduce the material. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/
repository_type	Open Access Journal
institution_category	Foreign Institution
institution	US National Center for Biotechnology Information
building	NCBI PubMed
collection	Online Access
language	English
format	Online
author	Saberi, A. A. Rahbari, S. H. Ebrahimnazhad Dashti-Naserabadi, H. Abbasi, A. Cho, Y. S. Nagler, J.
spellingShingle	Saberi, A. A. Rahbari, S. H. Ebrahimnazhad Dashti-Naserabadi, H. Abbasi, A. Cho, Y. S. Nagler, J. Universality in boundary domain growth by sudden bridging
author_facet	Saberi, A. A. Rahbari, S. H. Ebrahimnazhad Dashti-Naserabadi, H. Abbasi, A. Cho, Y. S. Nagler, J.
author_sort	Saberi, A. A.
title	Universality in boundary domain growth by sudden bridging
title_short	Universality in boundary domain growth by sudden bridging
title_full	Universality in boundary domain growth by sudden bridging
title_fullStr	Universality in boundary domain growth by sudden bridging
title_full_unstemmed	Universality in boundary domain growth by sudden bridging
title_sort	universality in boundary domain growth by sudden bridging
description	We report on universality in boundary domain growth in cluster aggregation in the limit of maximum concentration. Maximal concentration means that the diffusivity of the clusters is effectively zero and, instead, clusters merge successively in a percolation process, which leads to a sudden growth of the boundary domains. For two-dimensional square lattices of linear dimension L, independent of the models studied here, we find that the maximum of the boundary interface width, the susceptibility χ, exhibits the scaling χ ~ Lγ with the universal exponent γ = 1. The rapid growth of the boundary domain at the percolation threshold, which is guaranteed to occur for almost any cluster percolation process, underlies the the universal scaling of χ.
publisher	Nature Publishing Group
publishDate	2016
url	https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4761969/
_version_	1613541447183630336

Universality in boundary domain growth by sudden bridging

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