SUSTAINED OSCILLATIONS AND OTHER EXOTIC PATTERNS OF BEHAVIOR IN ISOTHERMAL REACTIONS
SUSTAINED OSCILLATIONS AND OTHER EXOTIC PATTERNS OF BEHAVIOR IN ISOTHERMAL REACTIONS
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DOI：
10.1021/j100247a009
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发表时间：
1985-01-01
影响因子：
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通讯作者：
SCOTT, SK
中科院分区：
文献类型：
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作者：
GRAY, P;SCOTT, SK
这篇专题文章的目的是通过考虑在最简单和最容易实现的情况下（cstr）的最简单的可能例子（A+ 2B- 3B; B-C）来说明简单或复杂的等温自催化反应如何引起振荡行为。虽然这只是一个二维的方案，但它生动而清晰地代表了许多真实的系统的所有关键方面，包括稳定振荡的诞生、增长和消除。此外，它是一个“鲁棒”的模型，当添加可逆性和并行替代路线时，它不会发生错误。在最近的过去，数学方案通常要么过于复杂而难以理解，要么未能满足详细平衡原则等基本要求。然而，其他模型未能保持质量或没有代表稳定的振荡。这种致命的缺陷不仅在这个原型中没有，而且在它的比较中也没有（A+ B-* 2 B; B-* C饱和）。在确定性化学模型中混沌行为的弹簧也被触及，但应该注意的是，realcstr必须低于完美的一致性，并且在混沌的期望和实验证明之间可能仍然存在差距。
The aims of this Feature Article are to show how simple or complex isothermal autocatalytic reactions can give rise to oscillatory behavior by considering virtually the simplest possible example (A+ 2B— 3B; B-C) under the simplest and most readily realizable of circumstances (cstr). Although this is only a two-dimensional scheme it vividly and clearly represents all the key aspects of many real systems, including the birth, growth, and extinctionof stable oscillations. Moreover, it is a “robust” model and it does not collapsewhen reversibility and parallel alternative routes are added. In therecent past, mathematical schemes have usually been either too elaborate to be understood or have failed to satisfy such basic requirements as the principle of detailed balance. Yet othermodels have failed to conserve mass or have not represented stable oscillations. Such fatal flaws are absent not only from this prototype but also from its comparison (A+ B—»· 2B; B—* C saturating). The springs of chaotic behavior in deterministic chemicalmodels are also touched on, but it should be noted that realcstr must fall short of perfect homogeneityand that there may still be a gap between expectation and experimental proof of chaos.