arrow
返回

On Diagonalizing Phenomenological Matrices

delete1963-07-15
delete0
PRE
AI
DOI:10.1063/1.1734269delete
delete原文链接
delete原文求助
delete分享
delete收藏
摘要

摘要

En 中文
A homogeneous many-reaction system close to equilibrium is considered, in which it is postulated that the stoichiometric equations for the real reactions are linearly independent and that the rate of each reaction is proportional to its affinity and independent of all other affinities. It is shown that the symmetric (but non-diagonal) matrix that relates the rates to the affinities of a linearly independent but fictitious set of reactions can be made to display the identity of the real reactions if one can independently modify the real equilibration velocities. Formal diagonalization of a nondiagonal phenomenological matrix is shown to be an improper procedure for finding the real reactions; moreover, the set of equations found by this method loses its diagonality when the real equilibration velocities are modified. By contrast, the matrix relating the rates of the real reactions to their affinities retains its diagonality throughout all modifications of the equilibration velocities. This stronger diagonality condition is suggested as a criterion for real independent reactions. The results should be applicable to nonequilibrium thermodynamics.
AI总结

AI总结

对已上传原文的论文进行重点信息的提取,主要内容包括:简要概述、研究摘要、背景介绍、关键亮点、图文解析、展望与总结。

期刊

暂无期刊信息

机构

暂无机构信息
引用论文

引用论文

暂无论文信息