Spatial confinement controls self-oscillations in polymer gels undergoing the Belousov-Zhabotinsky reaction

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 80, Issue 5, 2009, Pages

  Kuksenok, Olga ^a   Yashin, Victor V ^a   Balazs, Anna C ^a  

^a University of Pittsburgh   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BELOUSOV-ZHABOTINSKY REACTIONS; BOUNDING SURFACES; CONFINING WALLS; CUT OUT; DYNAMIC BEHAVIORS; HARD SURFACE; IN-PHASE; MECHANICAL ACTION; MECHANICAL WORK; NONOSCILLATORY; POLYMER GELS; SELF-OSCILLATIONS; SELF-SUSTAINED PULSATIONS; SPATIAL CONFINEMENT; TECHNOLOGICAL APPLICATIONS;

PHASE SPACE METHODS;

GELS;

EID: 71449090496     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.80.056208     Document Type: Article

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18. We use this solution { ust, φst, vst vlim (φst) } with small random fluctuations of the reagent concentrations around their stationary values as initial conditions in all the simulations.
19. If the constrained sample was initially stretched or compressed (i.e., □ φst), the boundaries of the stability domain on the phase diagram should be altered. The effect of stretching or compressing the sample on behavior of heterogeneous BZ gels was studied earlier for the one-dimensional case (see Ref.), and the effect of uniform compression on the dynamics of homogeneous two-dimensional samples was considered in Ref..
20. For the limiting cases in Fig., simulation points are shown only for some of the curves to maintain the clarity of the image. We have, however, confirmed excellent agreement between the simulations and analytical results for all the curves in the limiting cases.
21. If we remove one of the walls, we observe that the traveling wave is generated at the fixed end and propagates to the free end, consistent with the experimental observations for similar samples [R. Yoshida, Chaos 9, 260 (1999)] and with simulations of 2D BZ gel films. 10.1063/1.166402
22. To observe such oscillations within the free regions, the sizes R0 and W0 must exceed some critical values. Additional simulations show that for the case in Fig., these critical values are R0 =5 and W0 =7 nodes. These values also depend on the sample thickness, as well as the actual values within the [fAc, fBc] region. For example, as one might anticipate, it becomes more difficult to induce oscillations if we choose parameters closer to the lower curve, fAc.