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 ~ 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 universal scaling of χ. Mehr anzeigen
Persistenter Link
https://doi.org/10.3929/ethz-b-000113867Publikationsstatus
publishedExterne Links
Zeitschrift / Serie
Scientific ReportsBand
Seiten / Artikelnummer
Verlag
NatureThema
Phase transitions and critical phenomenaOrganisationseinheit
03733 - Herrmann, Hans Jürgen (emeritus) / Herrmann, Hans Jürgen (emeritus)