Formation of Liesegang patterns:: Simulations using a kinetic Ising model

被引:33
作者
Antal, T [1 ]
Droz, M
Magnin, J
Pekalski, A
Rácz, Z
机构
[1] Univ Geneva, Dept Phys Theor, CH-1211 Geneva 4, Switzerland
[2] Virginia Tech, Ctr Stochast Proc Sci & Engn, Blacksburg, VA 24061 USA
[3] Virginia Tech, Dept Phys, Blacksburg, VA 24061 USA
[4] Univ Wroclaw, Inst Fizyki Teoretycznej, PL-50204 Wroclaw, Poland
[5] Eotvos Lorand Univ, Inst Theoret Phys, H-1117 Budapest, Hungary
关键词
D O I
10.1063/1.1342858
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
A kinetic Ising model description of Liesegang phenomena is studied using Monte Carlo simulations. The model takes into account thermal fluctuations, contains noise in the chemical reactions, and its control parameters are experimentally accessible. We find that noisy, irregular precipitation takes place in dimension d = 2 while, depending on the values of the control parameters, either irregular patterns or precipitation bands satisfying the regular spacing law emerge in d = 3. (C) 2001 American Institute of Physics.
引用
收藏
页码:3770 / 3775
页数:6
相关论文
共 48 条
[1]   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
[2]   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
[3]   DYNAMICS OF SURFACE ENRICHMENT - A THEORY BASED ON THE KAWASAKI SPIN-EXCHANGE MODEL IN THE PRESENCE OF A WALL [J].
BINDER, K ;
FRISCH, HL .
ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER, 1991, 84 (03) :403-418
[4]   ON SPINODAL DECOMPOSITION [J].
CAHN, JW .
ACTA METALLURGICA, 1961, 9 (09) :795-801
[5]   FREE ENERGY OF A NONUNIFORM SYSTEM .1. INTERFACIAL FREE ENERGY [J].
CAHN, JW ;
HILLIARD, JE .
JOURNAL OF CHEMICAL PHYSICS, 1958, 28 (02) :258-267
[6]   A new model or periodic precipitation incorporating nucleation, growth and ripening [J].
Chacron, M ;
L'Heureux, I .
PHYSICS LETTERS A, 1999, 263 (1-2) :70-77
[7]   MICROSCOPIC APPROACH TO THE FORMATION OF LIESEGANG PATTERNS [J].
CHOPARD, B ;
LUTHI, P ;
DROZ, M .
JOURNAL OF STATISTICAL PHYSICS, 1994, 76 (1-2) :661-677
[8]   REACTION-DIFFUSION CELLULAR-AUTOMATA MODEL FOR THE FORMATION OF LIESEGANG PATTERNS [J].
CHOPARD, B ;
LUTHI, P ;
DROZ, M .
PHYSICAL REVIEW LETTERS, 1994, 72 (09) :1384-1387
[9]  
CHOPARD B, 1999, J CHEM PHYS, V110, P9618
[10]   STEADY-STATE REACTION-DIFFUSION FRONT SCALING FOR MA+NB -] [INERT] [J].
CORNELL, S ;
DROZ, M .
PHYSICAL REVIEW LETTERS, 1993, 70 (24) :3824-3827