Equidistant band formation of precipitation in a reaction–diffusion process

Jahnke, Lukas; Kantelhardt, Jan W.

doi:10.1088/1367-2630/12/2/023009

Cited by 3 publications

(5 citation statements)

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“…Besides, they cannot capture the microstructures of the precipitates. Alternatively, the lattice-gas model based on microscopic dynamics was developed to take into account the spatial–temporal fluctuations and hence can predict the microramified structures of the precipitation patterns. − (For a comparison of models and lattice–gas simulations, refer to ref .) However, it is still a great challenge to use the above models to simulate and elucidate the extremely complex and heterogeneous structures (ramified treelike structures, needlelike structures, transition patterns) observed in refs – .…”

Section: Introductionmentioning

confidence: 99%

Mesoscopic Study of the Effects of Gel Concentration and Materials on the Formation of Precipitation Patterns

2012

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A mesoscopic model based on the lattice Boltzmann method (LBM) is proposed to simulate the formation of Liesegang precipitation patterns and investigate the effects of gel on the morphology of the precipitates. In this model, nucleation is introduced on the basis of Ostwald's supersaturation theory, and subsequent crystal growth on the precipitate surface is simulated using a crystal growth model by taking into account the heterogeneous reaction on the surface of the precipitate. This model can capture the porous structures of the precipitates and can take into account the effects of the gel concentration and material by adjusting the gel porosity and nucleation threshold. The density of the precipitate nodes in the model is limited. A wide range of precipitation patterns is predicted under different gel concentrations, including regular bands, treelike patterns, and for the first time with numerical models, transition patterns between regular bands and treelike patterns. Both the spacing law and the width law are carefully investigated with different gel concentrations and gel materials, and the obtained α in the width law (w(n) ≈ x(n)(α), where x(n) and w(n) are the position and the width of the nth band, respectively) is in the range of 0.58-0.67, sandwiched by previously predicted ranges.

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Section: Introductionmentioning

confidence: 99%

Mesoscopic Study of the Effects of Gel Concentration and Materials on the Formation of Precipitation Patterns

2012

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“…2007; Molnár et al. 2008; Jahnke & Kantelhardt 2010). Local concentrations of ions can be controlled by, for example, an applied time‐dependent electric field across the gel, resulting in band formation in predetermined locations (Bena et al.…”

Section: Introductionmentioning

confidence: 99%

Precipitation patterns formed by self-organizing processes in porous media

Barge¹,

Hammond²,

Chan³

et al. 2011

Geofluids

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We compare laboratory and field examples of self-organized mineral precipitates in porous media. Laboratory tests of silver chromate precipitation in glass beads and glass bead ⁄ gel mixtures produce structures such as periodic banding and mm-size spherules. These are morphologically similar to the varied forms of iron oxide precipitates in the Jurassic Navajo Sandstone, Utah USA, that preserve records of former fluid redox boundaries in a porous and permeable sandstone. Experimental studies of periodic precipitates in porous media can provide valuable insight for understanding the diagenetic history of similar precipitates in natural environments.

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“…In tubular reactors with initially separated co-precipitate electrolyte compartments, Bena et al [15] obtained Liesegang patterns with equidistant bands by applying a current with constant absolute value, but switching sign quasiperiodically at times sn 2 =2, where n is an integer and s is a typical characteristic time value. Designing equidistant patterns driven by external electric fields has potential applications in materials science [43]. Jahnke and Kantelhardt [43] showed that equidistant Liesegang patterns could be obtained by suitable modification of certain parameters of the reaction-diffusion process.…”

Section: Dynamics Of Periodic Precipitation Under An Applied Ac Electmentioning

confidence: 99%

“…Designing equidistant patterns driven by external electric fields has potential applications in materials science [43]. Jahnke and Kantelhardt [43] showed that equidistant Liesegang patterns could be obtained by suitable modification of certain parameters of the reaction-diffusion process. These include the temperature, boundary conditions, concentrations of the reactants and notably the inhomogenetity of the nucleation threshold.…”

Section: Dynamics Of Periodic Precipitation Under An Applied Ac Electmentioning

confidence: 99%

“…The spatio-temporal dependence of the spacing coefficient (p) on those parameters permits a control over the spacing. Experimentally, this can be achieved by lithographic or electrical techniques [43]. Alternatively, the spacing coefficient can be imposed by the spatial variation of the substrate.…”

Section: Dynamics Of Periodic Precipitation Under An Applied Ac Electmentioning

confidence: 99%

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Effect of an alternating current electric field on Co(OH)2 periodic precipitation

Karam

Sultan

2013

Chemical Physics

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Equidistant band formation of precipitation in a reaction–diffusion process

Cited by 3 publications

References 40 publications

Mesoscopic Study of the Effects of Gel Concentration and Materials on the Formation of Precipitation Patterns

Mesoscopic Study of the Effects of Gel Concentration and Materials on the Formation of Precipitation Patterns

Precipitation patterns formed by self-organizing processes in porous media

Effect of an alternating current electric field on Co(OH)2 periodic precipitation

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