Formation of liesegang patterns:: A spinodal decomposition scenario

被引:93
作者
Antal, T [1 ]
Droz, M
Magnin, J
Rácz, Z
机构
[1] Univ Geneva, Dept Phys Theor, CH-1211 Geneva 4, Switzerland
[2] Eotvos Lorand Univ, Inst Theoret Phys, H-1117 Budapest, Hungary
关键词
D O I
10.1103/PhysRevLett.83.2880
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Spinodal decomposition in the presence of a moving particle source is proposed as a mechanism for the formation of Liesegang bands. This mechanism yields a sequence of hand positions x(n) that obeys the spacing law x(n) similar to Q(1 + p)(n). The dependence of the parameters p and Q on the initial concentration of the reagents is determined and we find that the functional form of p is in agreement with the experimentally observed Matalon-Packter law.
引用
收藏
页码:2880 / 2883
页数:4
相关论文
共 23 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]  
ANTAL T, UNPUB
[3]   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
[4]   STEADY-STATE REACTION-DIFFUSION FRONT SCALING FOR MA+NB -] [INERT] [J].
CORNELL, S ;
DROZ, M .
PHYSICAL REVIEW LETTERS, 1993, 70 (24) :3824-3827
[5]   PATTERN-FORMATION OUTSIDE OF EQUILIBRIUM [J].
CROSS, MC ;
HOHENBERG, PC .
REVIEWS OF MODERN PHYSICS, 1993, 65 (03) :851-1112
[6]   THE PATTERNS PRODUCED BY PRECIPITATION AT A MOVING REACTION FRONT [J].
DEE, GT .
PHYSICA D, 1986, 23 (1-3) :340-344
[7]   ONE-DIMENSIONAL KINETIC ISING-MODEL WITH COMPETING DYNAMICS - STEADY-STATE CORRELATIONS AND RELAXATION-TIMES [J].
DROZ, M ;
RACZ, Z ;
SCHMIDT, J .
PHYSICAL REVIEW A, 1989, 39 (04) :2141-2145
[8]   PROPERTIES OF THE REACTION FRONT IN AN A+B-]C TYPE REACTION-DIFFUSION PROCESS [J].
GALFI, L ;
RACZ, Z .
PHYSICAL REVIEW A, 1988, 38 (06) :3151-3154
[9]   TIME-DEPENDENT STATISTICS OF ISING MODEL [J].
GLAUBER, RJ .
JOURNAL OF MATHEMATICAL PHYSICS, 1963, 4 (02) :294-&
[10]  
GUNTON JD, 1983, PHASE TRANSITION CRI, V8