Stochastic description of precipitate pattern formation in an electric field

Lagzi, István; Izsák, Ferenc

doi:10.1039/b305728c

Cited by 21 publications

(29 citation statements)

References 35 publications

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“…The effects of an external electric field on the structure of the Liesegang patterns and the speed of the front propagation were described in many papers, e.g. [26][27][28][29]. Sultan and Halabieh [26] and Lagzi [27] experimentally studied the propagating patterns of precipitation.…”

Section: Introductionmentioning

confidence: 98%

Nonlinear phenomena and qualitative evaluation of risk of clogging in a capillary microreactor under imposed electric field

Přibyl

Šnita

Marek

2005

Chemical Engineering Journal

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Section: Introductionmentioning

confidence: 98%

Nonlinear phenomena and qualitative evaluation of risk of clogging in a capillary microreactor under imposed electric field

Přibyl

Šnita

Marek

2005

Chemical Engineering Journal

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“…Hence, the influence of particle number fluctuations and thus the stability of the patterns cannot be investigated adequately. Although there are some ideas to include fluctuation by an additional noise term in mean-field models [2,40], we think that models with intrinsically statistical character are more adequate. This is particularly true for mesoscopic and nanoscopic systems, where fluctuations become more important.…”

Section: Overview and Recent Trendsmentioning

confidence: 99%

Comparison of models and lattice-gas simulations for Liesegang patterns

Jahnke

Kantelhardt

2008

Eur. Phys. J. Spec. Top.

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For more than a century Liesegang patterns -self-organized, quasiperiodic structures occurring in diffusion-limited chemical reactions with two components -have been attracting scientists. The pattern formation can be described by four basic empirical laws. In addition to many experiments, several models have been devised to understand the formation of the bands and rings. Here we review the most important models and complement them with detailed threedimensional lattice-gas simulations. We show how the mean-field predictions can be reconciled with experimental data by a redefinition of the distances suggested by our lattice-gas simulations.

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“…Based on experiments on the AgNO 3 /K 2 Cr 2 O 7 /gelatin system and on Ostwald's supersaturation theory, Lagzi [17] showed that the position of bands conforms to the equation: x n ¼ a 1 t 1=2 þ a 2 t þ a 3 . In another study [35], Lagzi and Izsak showed that a 1 ; a 2 , and a 3 depend on the field strength. They proposed an extended form of the width law that takes into consideration the effect of a constant applied DC electric field.…”

Section: Introductionmentioning

confidence: 96%