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arXiv 0810.2084math-phmath.MP
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关于Ruelle关于经典微正则熵热力学极限的构造

On Ruelle's construction of the thermodynamic limit for the classical microcanonical entropy

Michael K. -H. Kiessling

摘要:

在这份说明中,我们做了一个非常基本的技术观察的效果,Ruelle的建设热力学极限的经典熵密度定义与正规化的微正则措施实际上建立了热力学极限的熵密度定义与适当的微正则措施。在这个阶段,一个关键的公式仍然是从正规化的措施。我们还表明,只有微小的变化证明的正规化的微正则措施实际上是不需要的。

英文摘要:

In this note we make a very elementary technical observation to the effect that Ruelle's construction of the thermodynamic limit of the classical entropy density defined with a regularized microcanonical measure actually establishes the thermodynamic limit for the entropy density defined with the proper microcanonical measure. At this stage a key formula is still derived from the regularized measures. We also show that with only minor changes in the proof the regularization of the microcanonical measure is actually not needed at all.

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