Accession Number : AD0752463

Title :   Phase Waves in Oscillatory Chemical Reactions.

Descriptive Note : Technical rept.,

Corporate Author : PURDUE UNIV LAFAYETTE IND PROJECT SQUID HEADQUARTERS

Personal Author(s) : Ortoleva,Peter ; Ross,John

Report Date : NOV 1972

Pagination or Media Count : 44

Abstract : 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)

Descriptors :   (*CATALYSIS, *PHASE STUDIES), (*CHEMICAL REACTIONS, PHASE STUDIES), PERTURBATION THEORY, DIFFUSION, OSCILLATION, KINETIC THEORY, MATRICES(MATHEMATICS), NONLINEAR DIFFERENTIAL EQUATIONS, PARTIAL DIFFERENTIAL EQUATIONS, NUMERICAL INTEGRATION

Subject Categories : Physical Chemistry

Distribution Statement : APPROVED FOR PUBLIC RELEASE