Analysis of patterns formed by two-component diffusion limited aggregation

Details Analysis of patterns formed by two-component diffusion limited aggregation Analysis of patterns formed by two-component diffusion limited aggregation

2010-11-04

arxiv.org/abs/1011.1169v1

Physics

Condensed Matter

Other Condensed Matter

Accepted for publication in Physical Review E

Scientific paper

We consider diffusion limited aggregation of particles of two different kinds. It is assumed that a particle of one kind may adhere only to another particle of the same kind. The particles aggregate on a linear substrate which consists of periodically or randomly placed particles of different kinds. We analyze the influence of initial patterns on the structure of growing clusters. It is shown that at small distances from the substrate, the cluster structures repeat initial patterns. However, starting from a critical distance the initial periodicity is abruptly lost, and the particle distribution tends to a random one. An approach describing the evolution of the number of branches is proposed. Our calculations show that the initial patter can be detected only at the distance which is not larger than approximately one and a half of the characteristic pattern size.

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