MORPHOLOGICAL SPATIAL PATTERNS IN A REACTION DIFFUSION MODEL FOR METAL GROWTH

被引：21

作者：

Bozzini, Benedetto ^{[2
]}

Lacitignola, Deborah ^{[1
]}

Sgura, Ivonne ^{[3
]}

机构：

[1] Univ Cassino, Dipartimento Sci Motorie & Salute, I-03043 Cassino, Italy

[2] Univ Salento Lecce, Dipartimento Ingn Innovaz, I-73100 Lecce, Italy

[3] Univ Salento Lecce, Dipartimento Matemat, I-73100 Lecce, Italy

来源：

MATHEMATICAL BIOSCIENCES AND ENGINEERING | 2010年 / 7卷 / 02期

关键词：

Turing instability; pattern formation; electrodeposition; numerical simulations; ELECTRODEPOSITION; COPPER; ELECTROCRYSTALLIZATION; DYNAMICS;

D O I：

10.3934/mbe.2010.7.237

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this paper a reaction-diffusion system modelling metal growth processes is considered, to investigate - within the electrodeposition context-the formation of morphological patterns in a finite two-dimensional spatial domain. Nonlinear dynamics of the system is studied from both the analytical and numerical points of view. Phase-space analysis is provided and initiation of spatial patterns induced by diffusion is shows to occur in a suitable region of the parameter space. Investigations aimed at establishing the role of some relevant chemical parameters on stability and selection of solutions are also provided. By the numerical approximation of the equations, simulations are presented which turn out to be in good agreement with experiments for the electrodeposition of Au-Cu and Au-Cu-Cd alloys.

引用

页码：237 / 258

页数：22

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[2]

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[3]

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