自旋玻璃中的相互作用翻转恒等式
Interaction-Flip Identities in Spin Glasses
摘要：
研究了两个不同相互作用的自旋玻璃系统的自由能和内能的涨落性质。我们表明，他们的差异有一个方差，增长像翻转区域的体积。使用一种新的插值方法，它扩展到整个圆的标准插值技术，我们通过积分的部分，该界意味着新的重叠身份的平衡态。作为一个副结果，分析了无相互作用随机场的情况，证明了其重叠分布的平凡性。
英文摘要：
We study the properties of fluctuation for the free energies and internal energies of two spin glass systems that differ for having some set of interactions flipped. We show that their difference has a variance that grows like the volume of the flipped region. Using a new interpolation method, which extends to the entire circle the standard interpolation technique, we show by integration by parts that the bound imply new overlap identities for the equilibrium state. As a side result the case of the non-interacting random field is analyzed and the triviality of its overlap distribution proved.
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