关于Nishimori线的涨落定理
Fluctuation Theorems on Nishimori Line
摘要：
本文研究了具有规范对称性的自旋玻璃的做功分布。借助于规范对称性，我们发现了自旋玻璃中所作功的一个有趣的关系，即涨落定理。所得关系的积分形式再现了我们得到的自旋玻璃的Jarzynski型方程。我们发现，不仅对具有规范对称性的自旋玻璃的做功分布，而且对自旋玻璃的自由能分布，都可以建立类似的关系，这为自旋玻璃的相变提供了另一种解释.
英文摘要：
The distribution of the performed work for spin glasses with gauge symmetry is considered. With the aid of the gauge symmetry, which leads to the exact/rigorous results in spin glasses, we find a fascinating relation of the performed work as the fluctuation theorem. The integral form of the resultant relation reproduces the Jarzynski-type equation for spin glasses we have obtained. We show that similar relations can be established not only for the distribution of the performed work but also that of the free energy of spin glasses with gauge symmetry, which provides another interpretation of the phase transition in spin glasses.
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