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Spatiotemporal chaos in the dynamics of buoyantly and diffusively unstable chemical fronts
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10.1063/1.3695339
/content/aip/journal/chaos/22/1/10.1063/1.3695339
http://aip.metastore.ingenta.com/content/aip/journal/chaos/22/1/10.1063/1.3695339
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Sketch of the system.

Image of FIG. 2.
FIG. 2.

Example of interface modulation for a descending front due to (a) diffusive instability and (b) a Rayleigh-Taylor instability for . Size of the image: 86 × 256.

Image of FIG. 3.
FIG. 3.

Example of a dynamics where RT and diffusive instabilities interact for . Size of the image: 121 × 256.

Image of FIG. 4.
FIG. 4.

Space-time map of the locations of the maxima (black) and minima (grey) of the longitudinally averaged profile of as a function of time (increasing downwards from t = 0 to t = 5000) for the pure diffusive instability and various values of D. .

Image of FIG. 5.
FIG. 5.

Time-averaged spectral entropy for the pure diffusive instability.

Image of FIG. 6.
FIG. 6.

Autocorrelation function AC as a function of the delay time for D = 0.15−0.4 at (a) t = 1000, (b) t = 3000, and (c) t = 5000.

Image of FIG. 7.
FIG. 7.

Time-averaged power spectrum PS(k) as a function of k for (a) D = 0.13 − 0.17 and (b) D = 0.3 − 0.4.

Image of FIG. 8.
FIG. 8.

Space-time map of the locations of the maxima (black) and minima (grey) of the longitudinally averaged profile of reactant A as a function of time for a buoyantly unstable ascending front for , different values of D from t = 0 to t = 5600. On top, the concentration at time t = 5000.

Image of FIG. 9.
FIG. 9.

Same as Fig. 8 but for a buoyantly stable descending front and .

Image of FIG. 10.
FIG. 10.

Time-averaged spectral entropy for the system with .

Image of FIG. 11.
FIG. 11.

Autocorrelation functions for the buoyantly unstable ascending front of reactant A (see Fig. 8 ) when at three times: t = 1000, t = 3000 and t = 5000.

Image of FIG. 12.
FIG. 12.

Autocorrelation functions for the buoyantly stable descending front of reactant A as seen on Fig. 9 when at three times: t = 1000, t = 3000 and t = 5000.

Image of FIG. 13.
FIG. 13.

Time-averaged power spectra for the reactant A in the buoyantly unstable ascending fronts for and different values of D.

Image of FIG. 14.
FIG. 14.

Same as in Fig. 13 but for buoyantly stable descending fronts.

Image of FIG. 15.
FIG. 15.

Space-time map of the locations of the maxima (black) and minima (grey) of the longitudinally averaged profile of reactant A as a function of time when the density increases during the reaction for different values of D for buoyantly unstable descending fronts from t = 0 to t = 5600. On top, the concentration of reactant A is shown at time t = 5000.

Image of FIG. 16.
FIG. 16.

Time-averaged spectral entropy for the system with for descending fronts unstable both from RT and diffusive instabilities.

Image of FIG. 17.
FIG. 17.

Autocorrelation function C of the descending front for the reactant A when at three points in time: t = 1000, t = 3000, and t = 5000.

Image of FIG. 18.
FIG. 18.

Time-averaged power spectra for the descending fronts of the reactant A to the system and differents values of D.

Image of FIG. 19.
FIG. 19.

Comparison of spectral entropy for (a) ascending fronts and (b) descending fronts.

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/content/aip/journal/chaos/22/1/10.1063/1.3695339
2012-03-23
2014-04-18
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Spatiotemporal chaos in the dynamics of buoyantly and diffusively unstable chemical fronts
http://aip.metastore.ingenta.com/content/aip/journal/chaos/22/1/10.1063/1.3695339
10.1063/1.3695339
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