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
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.