稀疏随机图上Ising自旋模型的涨落
Fluctuations in the Ising spin model on a sparse random graph
摘要:
计算了高温区稀平均场铁磁体的磁化强度和多重重叠的涨落。重新标度的磁化倾向于一个中心的高斯变量与方差发散的临界线。重标度的多重重叠也倾向于集中独立的高斯变量,但它们的协方差在临界线处仍然有限。
英文摘要:
We compute the fluctuations of the magnetization and of the multi-overlaps for the dilute mean field ferromagnet, in the high temperature region. The rescaled magnetization tends to a centered Gaussian variable with variance diverging at the critical line. The rescaled multi-overlaps also tend to centered independent Gaussian variables, but their covariance remain finite at the critical line.
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