Universality in boundary domain growth by sudden bridging

1Citations
Citations of this article
6Readers
Mendeley users who have this article in their library.

Abstract

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 ∼ L γ 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.

Cite

CITATION STYLE

APA

Saberi, A. A., Rahbari, S. H. E., Dashti-Naserabadi, H., Abbasi, A., Cho, Y. S., & Nagler, J. (2016). Universality in boundary domain growth by sudden bridging. Scientific Reports, 6. https://doi.org/10.1038/srep21110

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free