Phase Waves in Oscillatory Chemical Reactions.
PURDUE UNIV LAFAYETTE IND PROJECT SQUID HEADQUARTERS
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A theory is presented for the effect of heterogeneity on an oscillatory chemically reactive system in a stable limit cycle such as in heterogeneous catalysis. A perturbation technique is developed free of secular behavior for the solution of the non-linear partial differential equations. The solutions are obtained in terms of a phase function which obeys a diffusion equation. Due to this diffusion there exist phase waves which propagate down the phase gradient. Equations are derived for the position of the phase front as a function of time, the departure arrival times of waves and the number of waves emitted from a center of heterogeneous catalysis, the rate of wave emission. the lifetime of each wave, the asymptotic wave pattern, the interference effects between neighboring heterogeneities pacemakers, and local renormalization effects frequency changes from heterogeneities extending over regions of non-zero extent. Author
- Physical Chemistry