C. Oosawa et K. Kometani, FREQUENCY-DEPENDENT CHEMICAL-PATTERNS IN NONUNIFORM ACTIVE MEDIA, Journal of physical chemistry, 100(28), 1996, pp. 11643-11648
Spatial patterns are investigated in a nonuniform Belousov-Zhabotinsky
(BZ) reaction medium, a thin layer of ferroin-loaded cation-exchange
resin bathed in a BZ reaction mixture containing no catalyst. Two diff
erent nonuniform systems are investigated: (i) a system composed of tw
o resin layers with different refractory periods (longer one, T-r) sep
arated by a sharp boundary, and (ii) a system in which one of the two
layers in system i is replaced by a layer of a mixture of two differen
t resin beads. Wave patterns in each type of nonuniform systems are cr
itically influenced by wave periods. In a system i, when periods of wa
ves originating from either side of the boundary are longer than T-r,
the waves with a shorter period grow over those with a longer one and
cover the whole space in the medium. When the period of waves in one o
f the two layers is shorter than T-r, a 2:1 entrainment is established
for the waves propagating in the same direction on either side of the
boundary. The waves propagating in opposite directions form independe
nt patterns on either side of the boundary. In a system ii, two sets o
f waves are observed, one propagating along the upper part and another
along the lower part of the layer. When waves are initiated with a pe
riod shorter than T-r, they propagate initially only in the upper part
of the layer. After the waves cover the whole space of the mixture la
yer, new waves appear in the lower part of the layer. The upper and lo
wer waves propagate independently of each other. When waves with a per
iod longer than T-r propagate in the mixture layer, the upper and lowe
r waves show complete spatiotemporal entrainment.