Models of Liesegang pattern formation

F. Izsak, István Lagzi

Research output: Chapter in Book/Report/Conference proceedingChapterAcademicpeer-review

Abstract

In this article different mathematical models of the Liesegang phenomenon are exhibited. The main principles of modeling are discussed such as supersaturation theory, sol coagulation and phase separation, which describe the phenomenon using different steps and mechanism beyond the simple reaction scheme. We discuss whether the underlying numerical simulations are able to reproduce several empirical regularities and laws of the corresponding pattern structure. In all cases we highlight the meaning of the initial and boundary conditions in the corresponding mathematical formalism. Above the deterministic ones discrete stochastic approaches are also described. As a main tool for the control of pattern structure the effect of an external electric field is also discussed.
Original languageUndefined
Title of host publicationPrecipitation Patterns in Reaction-Diffusion Systems
EditorsIstván Lagzi
Place of PublicationKerala, India
PublisherResearch Signpost
Pages207-217
Number of pages11
ISBN (Print)978-81-308-0420-0
Publication statusPublished - 2010

Publication series

Name
PublisherResearch Signpost

Keywords

  • IR-79470
  • Pattern formation
  • EWI-21261
  • Liesegang phenomenon

Cite this

Izsak, F., & Lagzi, I. (2010). Models of Liesegang pattern formation. In I. Lagzi (Ed.), Precipitation Patterns in Reaction-Diffusion Systems (pp. 207-217). Kerala, India: Research Signpost.
Izsak, F. ; Lagzi, István. / Models of Liesegang pattern formation. Precipitation Patterns in Reaction-Diffusion Systems. editor / István Lagzi. Kerala, India : Research Signpost, 2010. pp. 207-217
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Izsak, F & Lagzi, I 2010, Models of Liesegang pattern formation. in I Lagzi (ed.), Precipitation Patterns in Reaction-Diffusion Systems. Research Signpost, Kerala, India, pp. 207-217.

Models of Liesegang pattern formation. / Izsak, F.; Lagzi, István.

Precipitation Patterns in Reaction-Diffusion Systems. ed. / István Lagzi. Kerala, India : Research Signpost, 2010. p. 207-217.

Research output: Chapter in Book/Report/Conference proceedingChapterAcademicpeer-review

TY - CHAP

T1 - Models of Liesegang pattern formation

AU - Izsak, F.

AU - Lagzi, István

PY - 2010

Y1 - 2010

N2 - In this article different mathematical models of the Liesegang phenomenon are exhibited. The main principles of modeling are discussed such as supersaturation theory, sol coagulation and phase separation, which describe the phenomenon using different steps and mechanism beyond the simple reaction scheme. We discuss whether the underlying numerical simulations are able to reproduce several empirical regularities and laws of the corresponding pattern structure. In all cases we highlight the meaning of the initial and boundary conditions in the corresponding mathematical formalism. Above the deterministic ones discrete stochastic approaches are also described. As a main tool for the control of pattern structure the effect of an external electric field is also discussed.

AB - In this article different mathematical models of the Liesegang phenomenon are exhibited. The main principles of modeling are discussed such as supersaturation theory, sol coagulation and phase separation, which describe the phenomenon using different steps and mechanism beyond the simple reaction scheme. We discuss whether the underlying numerical simulations are able to reproduce several empirical regularities and laws of the corresponding pattern structure. In all cases we highlight the meaning of the initial and boundary conditions in the corresponding mathematical formalism. Above the deterministic ones discrete stochastic approaches are also described. As a main tool for the control of pattern structure the effect of an external electric field is also discussed.

KW - IR-79470

KW - Pattern formation

KW - EWI-21261

KW - Liesegang phenomenon

M3 - Chapter

SN - 978-81-308-0420-0

SP - 207

EP - 217

BT - Precipitation Patterns in Reaction-Diffusion Systems

A2 - Lagzi, István

PB - Research Signpost

CY - Kerala, India

ER -

Izsak F, Lagzi I. Models of Liesegang pattern formation. In Lagzi I, editor, Precipitation Patterns in Reaction-Diffusion Systems. Kerala, India: Research Signpost. 2010. p. 207-217