Voronoi diagrams generated by regressing edges of precipitation fronts

被引:18
作者
Costello, BPJD [1 ]
Hantz, P
Ratcliffe, NM
机构
[1] Univ W England, Fac Sci Appl, Ctr Res Analyt Mat & Sensor Sci, Bristol BS16 1QY, Avon, England
[2] Univ Babes Bolyai, Dept Theoret Phys, R-3400 Cluj Napoca, KolozsvAr, Romania
[3] Eotvos Lorand Univ, Dept Phys Chem, H-1117 Budapest, Hungary
[4] Eotvos Lorand Univ, Dept Plant Taxon & Ecol, H-1117 Budapest, Hungary
关键词
D O I
10.1063/1.1635358
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
Reaction-diffusion systems where one of the reagents (outer electrolyte) penetrates into a gel by diffusion and forms a precipitate with the other reagent (inner electrolyte) homogenized in the gel, are able to produce various complex precipitation patterns. The previously studied NaOH+AgNO3 and recently discovered CuCl2+K-3[Fe(CN)(6)] processes, (where the first reagent is the outer electrolyte and the other is the inner electrolyte homogenized in the gel), when reacted using the above mentioned method, are able to generate tessellations of a plane by a mechanism dependant on the dynamics of so-called regressing edges of the reaction fronts. The spontaneous partitioning of the reacted phases results in the construction of a pattern analogous to a Voronoi diagram or one of their generalizations. (C) 2004 American Institute of Physics.
引用
收藏
页码:2413 / 2416
页数:4
相关论文
共 17 条
[1]   Experimental logical gates in a reaction-diffusion medium: The XOR gate and beyond [J].
Adamatzky, A ;
De Lacy Costello, B .
PHYSICAL REVIEW E, 2002, 66 (04) :6
[2]   On some limitations of reaction-diffusion chemical computers in relation to Voronoi diagram and its inversion [J].
Adamatzky, A ;
Costello, BD .
PHYSICS LETTERS A, 2003, 309 (5-6) :397-406
[3]   Reaction-diffusion path planning in a hybrid chemical and cellular-automaton processor [J].
Adamatzky, A ;
Costello, BD .
CHAOS SOLITONS & FRACTALS, 2003, 16 (05) :727-736
[4]   Experimental reaction-diffusion pre-processor for shape recognition [J].
Adamatzky, A ;
Costello, BD ;
Ratcliffe, NM .
PHYSICS LETTERS A, 2002, 297 (5-6) :344-352
[5]  
AURENHAMMER F, 1991, COMPUT SURV, V23, P345, DOI 10.1145/116873.116880
[6]  
Bottino DC, 2001, FRONT APPLI MATH, V121, P295
[7]   Regular microscopic patterns produced by simple reaction-diffusion systems [J].
Hantz, P .
PHYSICAL CHEMISTRY CHEMICAL PHYSICS, 2002, 4 (08) :1262-1267
[8]   Germing surfaces in reaction-diffusion systems? Experiments and a hypothesis [J].
Hantz, P .
JOURNAL OF CHEMICAL PHYSICS, 2002, 117 (14) :6646-6654
[9]   Pattern formation in the NaOH+CuCl2 reaction [J].
Hantz, P .
JOURNAL OF PHYSICAL CHEMISTRY B, 2000, 104 (17) :4266-4272
[10]   Traveling waves in yeast extract and in cultures of Dictyostelium discoideum [J].
Muller, SC ;
Mair, T ;
Steinbock, O .
BIOPHYSICAL CHEMISTRY, 1998, 72 (1-2) :37-47