“School of Particles And Accelerator”

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Paper   IPM / Particles And Accelerator / 14266
School of Particles and Accelerator
  Title:   Universality in boundary domain growth by sudden bridging
1.  Abbas Ali Saberi
2.  S.H Ebrahimnazhad Rahbari
3.  H Dashti-Naserabadi
4.  A Abbasi
5.  Y.S Cho
6.  J Nagler
  Status:   Published
  Journal: Scientific Reports
  No.:  21110
  Vol.:  6
  Year:  2016
  Supported by:  IPM
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 x, exhibits the scaling x=Ly with the universal exponent y=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 x.

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