title: Universality in boundary domain growth by sudden bridging.
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.
authors.affiliation: Department of Physics, University of Tehran, P.O. Box 14395-547,Tehran, Iran.|School of Physics and Accelerators, Institute for research in Fundamental Science (IPM) P.O. 19395-5531, Tehran, Iran.
authors.forename: A A
authors.initials: AA
authors.lastname: Saberi
authors.affiliation: School of Physics, Korea Institute for Advanced Study, Seoul 130-722, Korea.|Department of Physics, Shahid Beheshti University, Evin, Tehran 19839, Iran.
authors.forename: S H
authors.initials: SH
authors.lastname: Ebrahimnazhad Rahbari
authors.affiliation: Department of Physics, Plasma and Condensed Matter Computational Laboratory, Azarbaijan Shahid Madani University, Tabriz 53714-161, Iran.
authors.forename: H
authors.initials: H
authors.lastname: Dashti-Naserabadi
authors.affiliation: Physics and Accelerators Research School, NSRTI 11365-3486, Tehran, Iran.
authors.forename: A
authors.initials: A
authors.lastname: Abbasi
authors.affiliation: Department of Physics and Astronomy, Seoul National University, Seoul 151-747, Korea.
authors.forename: Y S
authors.initials: YS
authors.lastname: Cho
authors.affiliation: Computational Physics, IfB, ETH Zurich, Wolfgang-Pauli-Strasse 27, 8093 Zurich, Switzerland.
authors.forename: J
authors.initials: J
authors.lastname: Nagler