Locking of Turing patterns in the chlorine dioxide-iodine-malonic acid reaction with one-dimensional spatial periodic forcing

被引：24

作者：

Dolnik, Milos ^{[1
,2
]}

Bansagi, Tamas, Jr. ^{[1
,2
]}

Ansari, Sama ^{[1
,2
]}

Valent, Ivan ^{[1
,2
,3
]}

Epstein, Irving R. ^{[1
,2
]}

机构：

[1] Brandeis Univ, Dept Chem, Waltham, MA 02454 USA

[2] Brandeis Univ, Volen Ctr Complex Syst, Waltham, MA 02454 USA

[3] Comenius Univ, Fac Nat Sci, Dept Phys & Theoret Chem, Bratislava 84215, Slovakia

来源：

PHYSICAL CHEMISTRY CHEMICAL PHYSICS | 2011年 / 13卷 / 27期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1039/c1cp20949c

中图分类号：

O64 [物理化学（理论化学）、化学物理学];

学科分类号：

070304 ; 081704 ;

摘要：

We use the photosensitive chlorine dioxide-iodine-malonic acid reaction-diffusion system to study wavenumber locking of Turing patterns with spatial periodic forcing. Wavenumber-locked stripe patterns are the typical resonant structures that labyrinthine patterns exhibit in response to one-dimensional forcing by illumination when images of stripes are projected on a working medium. Our experimental results reveal that segmented oblique, hexagonal and rectangular patterns can also be obtained. However, these two-dimensional resonant structures only develop in a relatively narrow range of forcing parameters, where the unforced stripe pattern is in close proximity to the domain of hexagonal patterns. Numerical simulations based on a model that incorporates the forcing by illumination using an additive term reproduce well the experimental observations. These findings confirm that additive one-dimensional forcing can generate a two-dimensional resonant response. However, such a response is considerably less robust than the effect of multiplicative forcing.

引用

页码：12578 / 12583

页数：6

共 23 条

[1] Tomography of Reaction-Diffusion Microemulsions Reveals Three-Dimensional Turing Patterns [J].