Complexity of precipitation patterns: Comparison of simulation with experiment

Полежаев, А. А.; Müller, Stefan

doi:10.1063/1.166040

Cited by 54 publications

(53 citation statements)

References 24 publications

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“…In the post-nucleation model, precipitate growth is caused by Lifshitz-Slyozov instability [35], in which large grains grow up inclosing small grains, until they dissolve [29]. This phenomenon is common when ions are dispersed in a glass matrix [36].…”

Section: Growth Rings Kineticsmentioning

confidence: 97%

“…counting rings), but average number of our rings (about 190) is not in agreement with samples age (1800-1900 years old). Some researchers [1,24] tried to describe it according to Liesegang kinetics of evolution of precipitates in gels [27][28][29]. In fact, glass structure in advanced state of corrosion can be considered as a gel where network is broken.…”

Section: Growth Rings Kineticsmentioning

confidence: 99%

See 1 more Smart Citation

Glasses on the seabed: surface study of chemical corrosion in sunken Roman glasses

Bianco

Bertoncello

Milanese

et al. 2004

Journal of Non-Crystalline Solids

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Section: Growth Rings Kineticsmentioning

confidence: 97%

Section: Growth Rings Kineticsmentioning

confidence: 99%

Glasses on the seabed: surface study of chemical corrosion in sunken Roman glasses

Bianco

Bertoncello

Milanese

et al. 2004

Journal of Non-Crystalline Solids

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“…The results are understood by expanding and simulating a model of formation of precipitation patterns [14]. We explicitly observe that the origin of helices/helicoids is not to be found in the fluctuations and asymmetry of the initial-or boundary conditions [15,16]. Instead, the growth of unstable modes, the dynamics of the front, and the bulk fluctuations (noise) combine to yield the helices.…”

mentioning

confidence: 99%

Probability of the Emergence of Helical Precipitation Patterns in the Wake of Reaction-Diffusion Fronts

et al. 2013

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Helical and helicoidal precipitation patterns emerging in the wake of reaction-diffusion fronts are studied. In our experiments, these chiral structures arise with well defined probabilities PH controlled by conditions such as e.g., the initial concentration of the reagents. We develop a model which describes the observed experimental trends. The results suggest that PH is determined by a delicate interplay among the time-and length-scales related to the front and to the unstable precipitation modes and, furthermore, the noise amplitude also plays a quantifiable role.PACS numbers: 68.35.Ct Helices and helicoids are present from nano-to macroscale (ZnO nanohelices [1], macromolecules and inorganic crystals with a helical structure [2, 3], precipitation helices [4][5][6], fiber geometry of heart walls [7]). Formation of these fascinating structures generally follows two routes. First, templates with chiral symmetry (e.g., oragogel fibers) may exist in the system, and the symmetry is just transcribed to a structure (e.g., inorganic materials [8]) at a larger scale. Second, spontaneous symmetry breaking may occur through the self-assembly of achiral building blocks into a helical/helicoidal structure, as e.g. in case of crystals with chiral morphology [2,9].Theoretically, the symmetry-breaking route is more interesting. Universal aspects may emerge and the robust features of this self-organization process may be important for applications as well. Indeed, control over creating helical structures would make engineering (in particular, the bottom-up design of micro-patterns [10]) more flexible since chiral morphology of materials are known to affect their physical (electronic) properties [6,11].In order to develop insight into the genesis of helices/helicoids, we investigate an emblematic example of pattern formation, namely the formation of precipitation patterns in the wake of reaction-diffusion fronts [12,13]. The motivation for this choice comes from the observation that helicoidal structures have an axis, and the correlations are simple in the plane perpendicular to the axis. This suggests that building the perpendicular correlations in the wake of an advancing planar front may be a simple and natural mechanism of creating helices/helicoids. Additional motivation comes from the existence of a large body of knowledge in the related Liesegang phenomena [12,13]. It allows the use of well-established experimental and theoretical approaches, thus making it easier to develop a novel view on the formation of helical structures.Our main results concern the probabilistic aspects of the symmetry-breaking route. We determine the probability P H of the emergence of single helices/helicoids in Liesegang-type experiments as the conditions such as the initial concentration of inner or outer electrolytes, or the temperature are changed. P H is found to be well reproducible and large (P H > 0.5 for some parameter range). The results are understood by expanding and simulating a model of formation of precipitation patterns [14]...

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“…Note however that spirals (in 2D) [25][26][27] and helicoidal structures (in 3D) [28,29] have been reported. Ring dislocations and spiral structures have been modeled theoretically [29,30,22].…”

Section: Experiments I (Only Experiments In Set I)mentioning

confidence: 99%

Morphology of a 2D Mg2+/NH4OH Liesegang pattern in zero, positive and negative radial electric field

Badr

El-Rassy

El-Joubeily

et al. 2010

Chemical Physics Letters

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Complexity of precipitation patterns: Comparison of simulation with experiment

Cited by 54 publications

References 24 publications

Glasses on the seabed: surface study of chemical corrosion in sunken Roman glasses

Glasses on the seabed: surface study of chemical corrosion in sunken Roman glasses

Probability of the Emergence of Helical Precipitation Patterns in the Wake of Reaction-Diffusion Fronts

Morphology of a 2D Mg2+/NH4OH Liesegang pattern in zero, positive and negative radial electric field

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