Properties of two‐component bimolecular and trimolecular chemical reaction systems
Properties of two‐component bimolecular and trimolecular chemical reaction systems
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DOI：
10.1063/1.1680609
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发表时间：
1973-10
影响因子：
4.4
通讯作者：
J. Tyson;J. Light
中科院分区：
文献类型：
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作者：
J. Tyson;J. Light
通过一个非常简单的论证，我们证明了对于只包含双分子步骤的化学反应机制，这些步骤对物质流动是开放的，因此只有两个依赖于时间的浓度(X和Y)，稳态要么是鞍点，要么是中心，要么是稳定的节点或焦点。对于包含三分子步骤的机制，我们确定了两个可能导致不稳定的过程：A+2X→3X和2X+Y→3X。自催化步骤A+2X→3X，其中A保持在恒定浓度，是爆炸性的，即使不是不可能的，也很难基于这种不稳定性获得极限环振荡，尽管我们给出了一个包含该步骤的机制中保守振荡的有趣例子。已经存在一个很好地描述了允许极限环振荡的机制，它依赖于不稳定的自限自催化步骤2X+Y→3X，这些结果表明这是化学极限环振荡的最简单的例子。当化学反应..。
By a very simple argument we show that for chemical reaction mechanisms containing only bimolecular steps, which are open to a flow of matter so that there are only two time‐dependent concentrations (X and Y), the steady state is either a saddle point, a center, or a stable node or focus. For mechanisms containing trimolecular steps we identify two processes which can lead to instability: A + 2X → 3X, and 2X + Y → 3X. The autocatalytic step A + 2X → 3X, where A is maintained at constant concentration, is explosive and it is very hard, if not impossible, to obtain limit cycle oscillations based on such an instability though we give an interesting example of conservative oscillations in a mechanism containing this step. There already exists a well‐characterized mechanism admitting limit cycle oscillations which depend on the destabilizing self‐limiting autocatalytic step 2X + Y → 3X, and these results suggest that this is the simplest example of chemical limit cycle oscillations. When the chemical reactions...