Extreme-Value Distributions and the Freezing Transition of Structural Glasses

被引:5
|
作者
Castellana, Michele [1 ,2 ]
机构
[1] Princeton Univ, Joseph Henry Labs Phys, Princeton, NJ 08544 USA
[2] Princeton Univ, Lewis Sigler Inst Integrat Genom, Princeton, NJ 08544 USA
关键词
SPIN-GLASS; STATISTICS; MODEL; EQUILIBRIUM; DYNAMICS;
D O I
10.1103/PhysRevLett.112.215701
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We consider two mean-field models of structural glasses, the random energy model and the p-spin model (PSM), and we show that the finite-size fluctuations of the freezing temperature are described by extreme-value statistics (EVS) distributions, establishing an unprecedented connection between EVS and the freezing transition of structural glasses. For the random energy model, the freezing-temperature fluctuations are described by the Gumbel EVS distribution, while for the PSM the freezing temperature fluctuates according to the Tracy-Widom EVS distribution, which has been recently discovered within the theory of random matrices. For the PSM, we provide an analytical argument showing that the emergence of the Tracy-Widom distribution can be understood in terms of the statistics of glassy metastable states.
引用
收藏
页数:5
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