Pattern formation induced by ion-selective surfaces:: Models and simulations -: art. no. 034707

被引:14
作者
Horvát, S
Hantz, P
机构
[1] Univ Babes Bolyai, Dept Theoret Phys, Cluj Kolozvar 400084, Romania
[2] Eotvos Lorand Univ, Dept Plant Taxonomy & Ecol, H-1117 Budapest, Hungary
关键词
D O I
10.1063/1.1943409
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
Simple inorganic reactions in gels, such as NaOH+CuCl2, NaOH+AgNO3, and CuCl2+K-3[Fe(CN)(6)], can yield to various precipitation patterns. The first compound penetrates in a hydrogel by diffusion, and reacts with the second compound homogenized in the gel. The precipitate patterns formed in these reactions have got two kinds of bordering surfaces. Recent experimental results suggested that one of these surfaces has an ion-selective (semipermeable) character: It restrains the diffusion of the reacting ion contained by the reactant that diffuses into the gel. In this paper, we built the above experimental observation into a reaction-diffusion cellular-automata model of the pattern formation. Computer simulations showed that the model is able to reproduce the basic building elements of the patterns. (c) 2005 American Institute of Physics.
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页数:5
相关论文
共 18 条
[1]  
[Anonymous], 1993, INTRO MODERN COLLOID
[2]   Derivation of the Matalon-Packter law for Liesegang patterns [J].
Antal, T ;
Droz, M ;
Magnin, J ;
Rácz, Z ;
Zrinyi, M .
JOURNAL OF CHEMICAL PHYSICS, 1998, 109 (21) :9479-9486
[3]   Formation of liesegang patterns:: A spinodal decomposition scenario [J].
Antal, T ;
Droz, M ;
Magnin, J ;
Rácz, Z .
PHYSICAL REVIEW LETTERS, 1999, 83 (15) :2880-2883
[4]  
BUKI A, 1995, J CHEM PHYS, V103, P10387, DOI 10.1063/1.469875
[5]   Formation of chemical gardens [J].
Cartwright, Julyan H. E. ;
García-Ruiz, Juan Manuel ;
Novella, María Luisa ;
Otálora, Fermín .
Journal of Colloid and Interface Science, 2002, 256 (02) :351-359
[6]  
CHOPARD B, 1998, CELL AUTOMATA MODELI
[7]   Voronoi diagrams generated by regressing edges of precipitation fronts [J].
Costello, BPJD ;
Hantz, P ;
Ratcliffe, NM .
JOURNAL OF CHEMICAL PHYSICS, 2004, 120 (05) :2413-2416
[8]  
Ferzinger J. H., 1996, COMPUTATIONAL METHOD
[9]   Wave optics of Liesegang rings [J].
Fialkowski, M ;
Bitner, A ;
Grzybowski, BA .
PHYSICAL REVIEW LETTERS, 2005, 94 (01)
[10]   Ion-selective membranes involved in pattern-forming processes [J].
Hantz, M ;
Partridge, J ;
Láng, G ;
Horvát, S ;
Ujvári, M .
JOURNAL OF PHYSICAL CHEMISTRY B, 2004, 108 (47) :18135-18139