Fractal formation and ordering in random sequential adsorption

N. V. Brilliantov, Yu A. Andrienko, P. L. Krapivsky, J. Kurths

Research output: Contribution to journalArticlepeer-review

53 Citations (Scopus)


We reveal the fractal nature of patterns arising in random sequential adsorption of particles with continuum power-law size distribution, P(R)∼Rα−1, R ≤ Rmax. We find that the patterns become more and more ordered as α increases, and that the Apollonian packing is obtained at the α → ∞ limit. We introduce the entropy production rate as a quantitative criteria of regularity and observe a transition from an irregular regime of the pattern formation to a regular one. We develop a scaling theory that relates kinetic and structural properties of the system.

Original languageEnglish
Pages (from-to)4058-4061
Number of pages4
JournalPhysical Review Letters
Issue number21
Publication statusPublished - 20 May 1996
Externally publishedYes


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