Weakly and strongly consistent formulations of irreversible processes.
Weakly and strongly consistent formulations of irreversible processes.
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不可逆过程的弱一致和强一致表述。
DOI：
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发表时间：
2007
影响因子：
8.6
通讯作者：
H. C. Ottinger
中科院分区：
文献类型：
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作者：
H. C. Ottinger
如果时间演化方程是用热力学积木来表述的，那么就有两种可能性来判断模型的一致性：通过积木的性质（强或结构一致性），或者仅仅通过隐含的演化方程（弱或动态一致性）。我们提出了一个简单的程序来检查强一致性的线性化方程的特征值和本征模，这是有关建立一个波动耗散定理。通过应用流体力学的一般思想，我们澄清了有争议的扩散项在流体力学方程中的作用。
If time-evolution equations are formulated in terms of thermodynamic building blocks, two possibilities arise to judge the consistency of models: By the properties of the building blocks (strong or structural consistency), or solely by the implied evolution equations (weak or dynamic consistency). We propose a straightforward procedure to check for strong consistency by means of the eigenvalues and eigenmodes of the linearized equations, which is related to establishing a fluctuation-dissipation theorem. By applying the general ideas to hydrodynamics, we clarify the role of the controversial diffusion terms in hydrodynamic equations.