论文标题

随机矩阵模型中的淬灭自由能

Quenched free energy in random matrix model

论文作者

Okuyama, Kazumi

论文摘要

我们通过直接评估矩阵积分而无需使用副本技巧来计算高斯随机矩阵模型中淬灭的自由能。我们发现,淬灭的自由能是温度的单调函数,熵在高温下接近$ \ log n $,在零温度下消失。

We compute the quenched free energy in the Gaussian random matrix model by directly evaluating the matrix integral without using the replica trick. We find that the quenched free energy is a monotonic function of the temperature and the entropy approaches $\log N$ at high temperature and vanishes at zero temperature.

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