论文标题

在所有温度下,BEG模型的自由能的绝对收敛

Absolute convergence of the free energy of the BEG model in the disordered region for all temperatures

论文作者

Lima, Paulo C., de Jesus, Ricardo Lopes, Procacci, Aldo

论文摘要

我们分析了参数无序区域中的d维蓝色 - 帝国 - 帝国 - 长石模型,我们表明它的自由能可以用序列的术语明确编写,该序列在该区域的无界部分中绝对在任何温度下都是收敛的。作为副产品,我们还获得了一个大小为n的D维固定聚纸的上限。

We analyze the d-dimensional Blume-Emery-Griffiths model in the disordered region of parameters and we show that its free energy can be explicitly written in term of a series which is absolutely convergent at any temperature in an unbounded portion of this region. As a byproduct we also obtain an upper bound for the number of d-dimensional fixed polycubes of size n.

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