A STUDY OF A SELF-OSCILLATORY CHEMICAL REACTION III. SPACE BEHAVIOR

作者: A.M. Zhabotinsky

DOI: 10.1016/B978-0-12-167872-2.50013-3

关键词: Homogeneity (statistics)MechanicsOrdinary differential equationSynchronizationDiffusion (acoustics)ConvectionFinite volume methodMathematicsMathematical analysisSpace (mathematics)Oscillation

摘要: Publisher Summary The mechanisms of oscillatory chemical reactions are considered in terms formal kinetics which ordinary differential equations examined and a complete homogeneity the system space is implied. Such treatment does not permit consideration questions concerning means synchronizing concentration oscillations throughout finite volume, that is, existence macrooscillations. an approach valid if averaging by space, either through diffusion or convection, occurs rapidly than process being investigated, time much less oscillation period. Otherwise, effects should necessarily be taken into account. In this case, most important question concerns possibility synchronization macro-volume. systems, velocity diffusional might increased owing to kinetic features separate reactions. presence autocatalytic stages provide macrovolume those cases where alone insufficient, with convection absent.

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