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The Glassy State,Ideal Glass Transition,and Second-Order Phase Transition

机译:玻璃态,理想玻璃化转变和二阶相变

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According to Ehrenfest classification,the glass transition is a second-order phase transition.Controversy,however,remains due to the discrepancy between ex-periment and the Ehrenfest relations and thereby their prediction of unity of the Prigogine-Defay ratio in particular,In this article,we consider the case of ideal (equilibrium) glass and show that the glass transition may be described thermodynam-ically.At the transition,we obtain the following relations:with #GAMMA# =TV(#alpha#_l#beta#_g-#alpha#_l)~2/#beta#_l#beta#_g#DELTA##beta#,instead of unity as predicted by the Ehrenfest relations.Dependent on the relative value of #DELTA#C_vand #GAMMA#,the ratio may take a number equal to,larger or smaller than unity.The incorrect assumption of perfect differentiability of entropy at the transition,leading to the second Ehrenfest relation,is rectified to resolve the long-standing dilemma perplexing the nature nature of the glass transition.The relationships obtained in this work are in agreement with experimental findings.
机译:根据Ehrenfest分类,玻璃化转变是二阶相变。但是,争议仍然存在,这是由于实验和Ehrenfest关系之间存在差异,因此尤其是他们对Prigogine-Defay比的统一性的预测。在本文中,我们考虑了理想(平衡)玻璃的情况,并表明可以热力学地描述玻璃化转变。在该转变处,我们获得以下关系:与#GAMMA#= TV(#alpha#_l#beta#_g -#alpha#_l)〜2 /#beta#_l#beta#_g#DELTA ## beta#,而不是Ehrenfest关系所预测的统一。取决于#DELTA#C_vand#GAMMA#的相对值,该比率可能会得出等于或大于或小于1的数字。纠正了过渡时熵完美可微性的错误假设,导致了第二个埃伦菲斯特关系,从而纠正了困扰玻璃过渡性质的长期困境。在这项工作中获得的关系是一致的实验结果。

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