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arXiv 1503.02433gr-qc
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广义Escherichfest方程与黑洞的相变

Generalized Ehrenfest's Equations and phase transition in Black Holes

Mohammad Bagher Jahani Poshteh, Behrouz Mirza, Fatemeh Oboudiat

摘要:

我们推广Eschlafest方程的系统有两个工作条款,即系统的三个自由度。对于具有两个功项的黑洞,我们得到了在二阶相变临界点满足的九个方程,而不是两个。最后,我们将这种方法推广到任意自由度的系统,发现在二阶相变点满足$\frac{N(N+1)^{2}}{2}$方程,其中$N$是热力学热力学第一定律中功项的个数。

英文摘要:

We generalize Ehrenfest's equations to systems having two work terms, i.e. systems with three degrees of freedom. For black holes with two work terms we obtain nine equations instead of two to be satisfied at the critical point of a second order phase transition. We finally generalize this method to a system with an arbitrary number of degrees of freedom and found there is $\frac{N(N+1)^{2}}{2}$ equations to be satisfied at the point of a second order phase transition where $N$ is number of work terms in the first law of thermodynamics.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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