Bifurcation Analysis of Liesegang Ring Pattern Formation

M. I. Lebedeva; D. G. Vlachos; M. Tsapatsis

doi:10.1103/PhysRevLett.92.088301

Bifurcation Analysis of Liesegang Ring Pattern Formation

M. I. Lebedeva
, D. G. Vlachos
, M. Tsapatsis

Earth and Environmental Systems Institute

Research output: Contribution to journal › Article › peer-review

26 Scopus citations

Abstract

Bifurcation analysis is introduced to a prototype Liesegang ring (LR) model to explain pattern formation as an instability of a propagating plane reaction front. A theoretical criterion for the onset of patterning is derived and numerically tested. The uneven spacing law of LR bands is explained as a consequence of the time varying velocity of the moving reaction front. Suggestions for controlling pattern formation are provided.

Original language	English (US)
Journal	Physical review letters
Volume	92
Issue number	8
DOIs	https://doi.org/10.1103/PhysRevLett.92.088301
State	Published - 2004

All Science Journal Classification (ASJC) codes

General Physics and Astronomy

Access to Document

10.1103/PhysRevLett.92.088301

Cite this

@article{f00ad816cfdc41b89c8ad30b93272d8b,

title = "Bifurcation Analysis of Liesegang Ring Pattern Formation",

abstract = "Bifurcation analysis is introduced to a prototype Liesegang ring (LR) model to explain pattern formation as an instability of a propagating plane reaction front. A theoretical criterion for the onset of patterning is derived and numerically tested. The uneven spacing law of LR bands is explained as a consequence of the time varying velocity of the moving reaction front. Suggestions for controlling pattern formation are provided.",

author = "Lebedeva, \{M. I.\} and Vlachos, \{D. G.\} and M. Tsapatsis",

year = "2004",

doi = "10.1103/PhysRevLett.92.088301",

language = "English (US)",

volume = "92",

journal = "Physical review letters",

issn = "0031-9007",

publisher = "American Physical Society",

number = "8",

}

TY - JOUR

T1 - Bifurcation Analysis of Liesegang Ring Pattern Formation

AU - Lebedeva, M. I.

AU - Vlachos, D. G.

AU - Tsapatsis, M.

PY - 2004

Y1 - 2004

N2 - Bifurcation analysis is introduced to a prototype Liesegang ring (LR) model to explain pattern formation as an instability of a propagating plane reaction front. A theoretical criterion for the onset of patterning is derived and numerically tested. The uneven spacing law of LR bands is explained as a consequence of the time varying velocity of the moving reaction front. Suggestions for controlling pattern formation are provided.

AB - Bifurcation analysis is introduced to a prototype Liesegang ring (LR) model to explain pattern formation as an instability of a propagating plane reaction front. A theoretical criterion for the onset of patterning is derived and numerically tested. The uneven spacing law of LR bands is explained as a consequence of the time varying velocity of the moving reaction front. Suggestions for controlling pattern formation are provided.

UR - https://www.scopus.com/pages/publications/1642363215

UR - https://www.scopus.com/pages/publications/1642363215#tab=citedBy

U2 - 10.1103/PhysRevLett.92.088301

DO - 10.1103/PhysRevLett.92.088301

M3 - Article

AN - SCOPUS:1642363215

SN - 0031-9007

VL - 92

JO - Physical review letters

JF - Physical review letters

IS - 8

ER -

Bifurcation Analysis of Liesegang Ring Pattern Formation

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this