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arXiv 1004.4566physics.chem-ph
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化学反应对Stationary States的弛豫

Relaxation of Chemical Reactions to Stationary States in the Chemical Affinities Space

Giorgio Sonnino

摘要:

使用化学反应的质量平衡方程,我们展示了系统如何放松到一个稳定的状态和出Onsager区域。在化学亲和力空间中,在快速瞬变之后,当在Onsager区域中操作时,弛豫过程是直线,而在该区域之外,系统的演化使得力的演化方程的投影和流上的最短路径重合。对于空间扩展的系统,类似的结果对于热力学模式的演化是有效的(即,波数k = 0的模式)。这些结果使我们能够得到的热力学力所覆盖的空间的仿射连接的表达式,接近稳态。通过仿射联络,导出了非线性闭合方程。

英文摘要:

Using the mass balance equations for chemical reactions, we show how the system relaxes towards a steady state in and out of the Onsager region. In the chemical affinities space, after fast transients, the relaxation process is a straight line when operating in the Onsager region, while out of this regime, the evolution of the system is such that the projections of the evolution equations for the forces and the shortest path on the flows coincide. For spatially-extended systems, similar results are valid for the evolution of the thermodynamic mode (i.e., the mode with wave-number k = 0). These results allow us to obtain the expression for the affine connection of the space covered by the thermodynamic forces, close to the steady states. Through the affine connection, the nonlinear closure equations are derived.

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