Morphological spatial patterns in a reaction diffusion model for metal growth
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 spatialdomain. Nonlinear dynamics of the system is studied from both the analytical and...
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| Format: | Article |
| Language: | English |
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AIMS Press
2010-03-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2010.7.237 |
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| _version_ | 1832590188461686784 |
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| author | Benedetto Bozzini Deborah Lacitignola Ivonne Sgura |
| author_facet | Benedetto Bozzini Deborah Lacitignola Ivonne Sgura |
| author_sort | Benedetto Bozzini |
| collection | DOAJ |
| description | 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 spatialdomain. Nonlinear dynamics of the system is studied from both the analytical and numerical points of view. Phase-spaceanalysis is provided and initiation of spatial patterns induced by diffusion is shown to occur in a suitable region ofthe parameter space. Investigations aimed at establishing the role of some relevant chemical parameters on stabilityand selection of solutions are also provided. By the numerical approximation of the equations, simulations arepresented which turn out to be in good agreement with experiments for the electrodeposition of Au-Cu and Au-Cu-Cdalloys. |
| format | Article |
| id | doaj-art-664534f006c34a5284c5a0565f4ebff6 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2010-03-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-664534f006c34a5284c5a0565f4ebff62025-01-24T02:00:28ZengAIMS PressMathematical Biosciences and Engineering1551-00182010-03-017223725810.3934/mbe.2010.7.237Morphological spatial patterns in a reaction diffusion model for metal growthBenedetto Bozzini0Deborah Lacitignola1Ivonne Sgura2Dipartimento di Ingegneria dell’Innovazione, Università del Salento - Lecce, via per Monteroni, I-73100 LecceDipartimento di Ingegneria dell’Innovazione, Università del Salento - Lecce, via per Monteroni, I-73100 LecceDipartimento di Ingegneria dell’Innovazione, Università del Salento - Lecce, via per Monteroni, I-73100 LecceIn 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 spatialdomain. Nonlinear dynamics of the system is studied from both the analytical and numerical points of view. Phase-spaceanalysis is provided and initiation of spatial patterns induced by diffusion is shown to occur in a suitable region ofthe parameter space. Investigations aimed at establishing the role of some relevant chemical parameters on stabilityand selection of solutions are also provided. By the numerical approximation of the equations, simulations arepresented which turn out to be in good agreement with experiments for the electrodeposition of Au-Cu and Au-Cu-Cdalloys.https://www.aimspress.com/article/doi/10.3934/mbe.2010.7.237turing instabilitypattern formationelectrodepositionnumerical simulations. |
| spellingShingle | Benedetto Bozzini Deborah Lacitignola Ivonne Sgura Morphological spatial patterns in a reaction diffusion model for metal growth Mathematical Biosciences and Engineering turing instability pattern formation electrodeposition numerical simulations. |
| title | Morphological spatial patterns in a reaction diffusion model for metal growth |
| title_full | Morphological spatial patterns in a reaction diffusion model for metal growth |
| title_fullStr | Morphological spatial patterns in a reaction diffusion model for metal growth |
| title_full_unstemmed | Morphological spatial patterns in a reaction diffusion model for metal growth |
| title_short | Morphological spatial patterns in a reaction diffusion model for metal growth |
| title_sort | morphological spatial patterns in a reaction diffusion model for metal growth |
| topic | turing instability pattern formation electrodeposition numerical simulations. |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2010.7.237 |
| work_keys_str_mv | AT benedettobozzini morphologicalspatialpatternsinareactiondiffusionmodelformetalgrowth AT deborahlacitignola morphologicalspatialpatternsinareactiondiffusionmodelformetalgrowth AT ivonnesgura morphologicalspatialpatternsinareactiondiffusionmodelformetalgrowth |