| Issue |
Europhys. Lett.
Volume 41, Number 1, January I 1998
|
|
|---|---|---|
| Page(s) | 19 - 24 | |
| Section | Condensed matter: structure, thermal and mechanical properties | |
| DOI | https://doi.org/10.1209/epl/i1998-00110-7 | |
| Published online | 01 September 2002 | |
Deterministic Eden model of charged-particles aggregation
1
Institute of Biocolloid Chemistry, Ukrainian National Academy of Sciences,
42 bv. Vernadskogo, Kyiv, 252142, Ukraine
2
Kyiv Mogyla Academy University,
2 vul. Scovorody, Kyiv, 252145, Ukraine
Corresponding author: lebovka@roller.ukma.kiev.ua
Received:
2
September
1997
Accepted:
17
November
1997
We have studied the two-dimensional deterministic Eden model
of aggregation for particles that interact via the long-range Coulomb repulsion.
Two parameters governed the aggregation process: the screening length λ and
the short-range energy E of the particle attraction to the cluster. The regions
of finite and infinite cluster growth having linear X-like, ramified and
compact patterns were found at the phase diagram presented as λ
vs. E. The
structure and fractal properties of ramified clusters were studied. We have
found that all the clusters of the model do not reveal the fractal properties.
In all the cases we observed the sharp transition between linear (
) and
dense-branching (
) cluster.
PACS: 61.43.Hv – Fractals; macroscopic aggregates (including diffusion-limited aggregates) / 81.10.Aj – Theory and models of crystal growth; physics of crystal growth, crystal morphology and orientation / 82.20.Wt – Computational modeling; simulation
© EDP Sciences, 1998
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