Fractal properties of the Eden collision interface

Tomomasa Nagamine; Sasuke Miyazima; Janos Kertész

doi:10.1016/S0378-4371(96)00160-4

Fractal properties of the Eden collision interface

Tomomasa Nagamine, Sasuke Miyazima, Janos Kertész

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Abstract (may include machine translation)

We have simulated the growth of the Eden collision interface produced by the collision of two independent rough growth surfaces made by the Eden process and measured the cluster size s and the number of the clusters n_s of the collision interface. Here, we have assumed the scaling form of s and n_s as n_s ∼ N^γ f(s/N^ε), where N = ∑ s · n_s. We have obtained good scaling. Furthermore, we have also considered the scaling relation 2ε + γ = 1.

Original language	English
Pages (from-to)	897-904
Number of pages	8
Journal	Physica A: Statistical Mechanics and its Applications
Volume	233
Issue number	3-4
DOIs	https://doi.org/10.1016/S0378-4371(96)00160-4
State	Published - 1 Dec 1996
Externally published	Yes

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10.1016/S0378-4371(96)00160-4

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title = "Fractal properties of the Eden collision interface",

abstract = "We have simulated the growth of the Eden collision interface produced by the collision of two independent rough growth surfaces made by the Eden process and measured the cluster size s and the number of the clusters ns of the collision interface. Here, we have assumed the scaling form of s and ns as ns ∼ Nγ f(s/Nε), where N = ∑ s · ns. We have obtained good scaling. Furthermore, we have also considered the scaling relation 2ε + γ = 1.",

author = "Tomomasa Nagamine and Sasuke Miyazima and Janos Kert{\'e}sz",

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Fractal properties of the Eden collision interface

Abstract (may include machine translation)

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