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Discontinuously propagating waves in the bathoferroin-catalyzed Belousov–Zhabotinsky reaction incorporated into a microemulsion
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10.1063/1.2924119
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Affiliations:
1 Department of Chemistry and Volen Center for Complex Systems, MS 015, Brandeis University, Waltham, Massachusetts 02454, USA
a) Present address: Department of Biophysics, Faculty of Biology, Lomonosov Moscow State University, Moscow 119899, Russia.
b) Electronic mail: epstein@brandeis.edu.
J. Chem. Phys. 128, 204508 (2008)
/content/aip/journal/jcp/128/20/10.1063/1.2924119
http://aip.metastore.ingenta.com/content/aip/journal/jcp/128/20/10.1063/1.2924119
View: Figures

## Figures

FIG. 1.

Temperature dependence of conductivity of AOT MEs. (1) , ; ME is loaded with ; (2) , , , , , . (3) , , , , , . (4) , , water.

FIG. 2.

Reactor. (a) and (c) are two thermostated chambers with sealed glass windows; arrows indicate direction of water flux from and to thermostated bath. (b) Teflon spacer between the chambers. The three parts of the reactor are pressed together and the reactive ME (red) is sandwiched between the two glass windows.

FIG. 3.

Jumping waves in the BZ-AOT system (, , , , , ), . Time interval between snapshots (a) and (b) is , between (b) and (c) is . Frame . Arrow in (a) shows the direction of propagation of jumping waves. Normal velocity, . Wavelength of a jump is .

FIG. 4.

Snapshot (a) and space-time plot (b) of jumping waves in the BZ-AOT system at . Parameters: , , , , , . The white cross-sectional segment in (a) is long. Size of (b), . Velocity of waves, (slope of yellow-green lines), (slope of blue line), , (phase shift, slope of red lines). Period of bulk oscillations, , period of waves, , period of jumps, . Wavelength of jumps is , and the wavelength of jumping waves is .

FIG. 5.

Bubble waves in the BZ-AOT reaction (, , , , , , , ). The snapshot was taken after preparation of the reactive ME. . , (b) , (c) . Space-time plots are made along the straight lines shown in (a) as white horizontal ((b), length ) and vertical [(c), length of ] bars. Time vector in (b) and (c) is directed from the bottom to the top of the figure. Time axes in (b) and (c) are not matched. BO—bulk oscillations; BW—bubble wave. Period of bulk oscillations, , period of waves, . Period of jumps, , wavelength of jumps , where and the wavelength of bubble waves is .

FIG. 6.

Rotating waves in the BZ-AOT system at . Parameters: , , , , , . Size of snapshots is . Time between snapshots (a) and (b) is and between (b) and (c) is .

FIG. 7.

Three types of waves, segmented waves (SWs), jumping waves (JWs), and bubble waves (BWs) can coexist. Parameters of the BZ-AOT system: , , , , , , . Snapshot was taken after preparation of reactive ME. The frame size is .

FIG. 8.

-maps of jumping circular waves in models (1)–(3) at , , , , , , , and . The radius in snapshots (a)–(c) is 15, times of 39, (b) 42, and (c) 48. (d) Space-time plot along a radius. At , a small central area was perturbed. Size of (d): (left edge corresponds to center of the circular area), total .

FIG. 9.

Continuously propagating segmented waves in models (1)–(3) at , , , , , , . 40 and (b) 65. The radius of the domain is 12. At , a small central area was perturbed.

FIG. 10.

Transformations of wave patterns in bathoferroin-catalyzed BZ-AOT system: CWs, continuous trigger waves; SWs, segmented waves; JWs, jumping waves; BWs, bubble waves; and RWs, rotating waves. JW, BW, and RW are discontinuously propagating waves, while SW propagate smoothly.

FIG. 11.

Four consecutive snapshots of Turing patterns (narrow black stripes) moving nontranslationally at constant velocity of the up-moving mask (the mask is not shown). The width of the mask is slightly larger than the width of a single black stripe. Time between snapshots is 1. Horizontal size of snapshots is 30. Turing instability occurs only in the shadow of the mask.

/content/aip/journal/jcp/128/20/10.1063/1.2924119
2008-05-29
2014-04-16

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