Dividing blobs, chemical flowers, and patterned islands in a reaction-diffusion system

被引:64
作者
Davies, PW [1 ]
Blanchedeau, P [1 ]
Dulos, E [1 ]
De Kepper, P [1 ]
机构
[1] Univ Bordeaux 1, Ctr Rech Paul Pascal, CNRS, F-33600 Pessac, France
关键词
D O I
10.1021/jp982034n
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
In an one-side-fed open spatial reactor operated with the chlorine dioxide-iodine-malonic acid reaction in the presence of polyvinyl alcohol, we systematically studied the growth dynamics of Turing patterns after a supercritical parameter change. We describe different modes of propagation of the patterned state in an absolutely unstable uniform state, among which are a spot division and a finger splitting mode. We attribute these peculiar growth modes to the existence of two different uniform states and to a morphological instability of a propagating front linking these two states. In regions where bistability between the Turing state and a uniform state is obtained, the interface between the patterned state and the uniform state can be brought to a halt and thus localized patterned states are observed.
引用
收藏
页码:8236 / 8244
页数:9
相关论文
共 67 条
[41]  
METENS S, 1998, THESIS U LIBRE BRUXE
[42]  
Murray J.D, 1989, Mathematical Biology, V19
[43]  
Nicolis G., 1977, SELF ORG NONEQUILIBR
[44]   SUSTAINED CHEMICAL WAVES IN AN ANNULAR GEL REACTOR - A CHEMICAL PINWHEEL [J].
NOSZTICZIUS, Z ;
HORSTHEMKE, W ;
MCCORMICK, WD ;
SWINNEY, HL ;
TAM, WY .
NATURE, 1987, 329 (6140) :619-620
[45]   HIGHER-DIMENSIONAL LOCALIZED PATTERNS IN EXCITABLE MEDIA [J].
OHTA, T ;
MIMURA, M ;
KOBAYASHI, R .
PHYSICA D, 1989, 34 (1-2) :115-144
[46]   VARIETY OF WAVE PHENOMENA IN CHEMICAL-REACTIONS [J].
ORTOLEVA, P ;
ROSS, J .
JOURNAL OF CHEMICAL PHYSICS, 1974, 60 (12) :5090-5107
[47]  
OSWALD P, 1991, NATO ADV SCI I B-PHY, V276, P177
[48]   TRANSITION FROM A UNIFORM STATE TO HEXAGONAL AND STRIPED TURING PATTERNS [J].
OUYANG, Q ;
SWINNEY, HL .
NATURE, 1991, 352 (6336) :610-612
[49]  
OUYANG Q, 1995, J PHYS CHEM-US, V102, P2251
[50]   Rhombic patterns: Broken hexagonal symmetry [J].
Ouyang, Qi ;
Gunaratne, Gemunu H. ;
Swinney, Harry L. .
CHAOS, 1993, 3 (04) :707-711