Discrete Laplacian Growth: Linear Stability vs Fractal Formation

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dc.creatorLoutsenko, Igor
dc.creatorYermolayeva, Oksana
dc.date2008-05-07
dc.date.accessioned2026-07-07T09:37:42Z
dc.date.available2026-07-07T09:37:42Z
dc.descriptionWe introduce stochastic Discrete Laplacian Growth and consider its deterministic continuous version. These are reminiscent respectively to well-known Diffusion Limited Aggregation and Hele-Shaw free boundary problem for the interface propagation. We study correlation between stability of deterministic free-boundary problem and macroscopic fractal growth in the corresponding discrete problem. It turns out that fractal growth in the discrete problem is not influenced by stability of its deterministic version. Using this fact one can easily provide a qualitative analytic description of the Discrete Laplacian Growth.
dc.description5 figures
dc.identifierhttps://arxiv.org/abs/0805.0955
dc.identifierhttp://arxiv.org/abs/0805.0955
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/160553
dc.subjectStatistical Mechanics
dc.subjectMathematical Physics
dc.subjectPattern Formation and Solitons
dc.titleDiscrete Laplacian Growth: Linear Stability vs Fractal Formation
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