2018
DOI: 10.1016/j.apm.2018.01.005
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Cross-diffusion effects on a morphochemical model for electrodeposition

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Cited by 19 publications
(6 citation statements)
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“…Figure 8 Quantitative details, highlighting in-depth changes, can be more evidently pinpointed by averaging over space, as shown in Figure 9. Our results confirm the alloy electrodeposition mechanism proposed in [26] and further validates the mathematical DIB model of electrochemical pattern formation, recently developed in our group ( [37,38] and references therein). More specifically, the present results provide additional support of the model capability of predicting complex spiral-based morphologies.…”
Section: In-depth Analysis Of Ag-in Ex Situ Electrodeposited Alloys Exhibiting a Dynamic Pattern Formation Mechanismsupporting
confidence: 90%
“…Figure 8 Quantitative details, highlighting in-depth changes, can be more evidently pinpointed by averaging over space, as shown in Figure 9. Our results confirm the alloy electrodeposition mechanism proposed in [26] and further validates the mathematical DIB model of electrochemical pattern formation, recently developed in our group ( [37,38] and references therein). More specifically, the present results provide additional support of the model capability of predicting complex spiral-based morphologies.…”
Section: In-depth Analysis Of Ag-in Ex Situ Electrodeposited Alloys Exhibiting a Dynamic Pattern Formation Mechanismsupporting
confidence: 90%
“…The specific typologies of Turing patterns and hence their spatial structure have been found solving the direct problem by means of several numerical simulations performed by sampling the R T region with several values of the parameter couples pC, Bq, as reported in [21]. In Figure 1 Figure 1 shows the Turing region R T in the parameter space pC, Bq corresponding to the diffusion parameter d " 20; it is worth noting that the size of the Turing region R T increases for larger values of d. Recently, the results concerning Turing pattern formation for the morphochemical model have been extended in [44] to the case of the RD-PDE system defined on a sphere, and in [45] to account for cross-diffusion terms.…”
Section: Bifurcation Diagrammentioning
confidence: 77%
“…A key role in the harmonization of electrochemical and X-ray microtomographic data will be played by mathematical modelling, specifically targeting phase formation in space and time: this has been shown by our group to be feasible in two ways: through the DIB theoretical framework [10][11][12][13] and with the simulation of electrochemical time-series resulting from cell-cycling [2,14]. Modelling cycling time-series with this approach via non-linear least-squares, is indeed feasible, but extremely heavy [15,16] and can hardly be employed systematically and in cases that expand beyond specific cases.…”
Section: Discussionmentioning
confidence: 99%