Gibbs Paradox and Similarity Principle

Gibbs Paradox and Similarity Principle
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吉布斯悖论和相似原理

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发表时间:
2008
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通讯作者:
Shu
Shu
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作者:
Shu

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由于没有观察到热效应和机械功,我们有一个简单的实验解决吉布斯悖论:在任何理想混合物的形成过程中,混合的热力学熵和吉布斯自由能变化都是零。信息丢失是这些自发过程的驱动力。信息被定义为压缩数据的量。将动态运动和静态对称结构形成过程中的信息损失分别定义为动态熵和静态熵。信息论有三个定律,其中第一定律和第二定律类似于两个热力学定律。然而,信息论的第三定律是不同的:对于完美对称的固体结构(例如,理想晶体),熵(固态的静态熵)S最大。在更一般的情况下,建立了一个相似性原则:在其他条件不变的情况下,组分间的相似性越高,则其价值越高。
As no heat effect and mechanical work are observed, we have a simple experimental resolution of the Gibbs paradox: both the thermodynamic entropy of mixing and the Gibbs free energy change are zero during the formation of any ideal mixtures. Information loss is the driving force of these spontaneous processes. Information is defined as the amount of the compressed data. Information losses due to dynamic motion and static symmetric structure formation are defined as two kinds of entropies—dynamic entropy and static entropy, respectively. There are three laws of information theory, where the first and the second laws are analogs of the two thermodynamic laws. However, the third law of information theory is different: for a solid structure of perfect symmetry (e.g., a perfect crystal), the entropy (static entropy for solid state) S is the maximum. More generally, a similarity principle is set up: if all the other conditions remain constant, the higher the similarity among the components is, the higher the va...