INTERACTIONS OF REACTION AND DIFFUSION IN OPEN SYSTEMS
INTERACTIONS OF REACTION AND DIFFUSION IN OPEN SYSTEMS
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DOI：
10.1021/i160030a020
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发表时间：
1969-01-01
期刊：
影响因子：
--
通讯作者：
SCRIVEN, LE
中科院分区：
文献类型：
--
作者：
OTHMER, HG;SCRIVEN, LE
Asymptotic stability of uniform, nonequilibrium stationary states in multicomponent systems communicating everywhere with uniform surroundings is analyzed. Conventional diffusion with first-order reactions is mathe-matically equivalent. The systems need not be close to equilibrium. Conditions are given under which stability is completely determined by eigenvalues of the matrices of reaction constants and diffusion co-efficients separately; commuting reaction and diffusion matrices is a special case. Reaction and diffusion may interact to produce instability where neither does by itself. Stability behavior with more than three components is analytically intractable, but a complete catalog for two components and representative re-sults for three are presented. How to design in principle a three-component system havingspecified sta-bility behavior is shown. Implications for n-component systems are discussed, especially systems that can be approximated by a number of weaklyinteracting subsystems.
