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本文采用与文献[1]完全相类似的方法作出一般化Ising模型s=1在面心立方格子(fcc)上最近邻相互作用的反铁磁系统的统计理论,即用Pad近似式处理配分函数的高、低温幂级数有限项展开式,得出其反铁磁-顺磁转变为一阶相变。Tc=1.33J/k,小于(1/2)相应的相变点。文中算出了相关的热力学量如内能、潜热、熵、比热、长程和短程序参量,以及磁化率等。值得指出的是:(1)fcc上反铁磁-顺磁相变属于一阶,这是由格子密堆积的拓扑特征所决定,与s的大小无关;(2)Tc(s)随s的增加而缓慢地下降。The antiferromagnetism of Ising spin I(1) with the nearest neighbor interaction -J on fcc has been treated by the method of series expansion similar to [1]. The free energy function for the lower temperature ordered state is written in a series of exp(-J/kT) and that for the higher temperature disorder state in a series of J/kT. Using the Padé approximants we have shown clearly that the free energy curves of the two states cross at Tc= 1.33 J/k. The transition is one of the first order, the same conclusion as we obtained for the I(1/2) model, but Tc of I(1) is lower than that of I(1/2). The thermodynamic quantities such as the long-range and short-range order parameter, the internal energy, the entropy, the specific heat as well as the magnetic susceptibility were calculated in variation with temperature. They all change abruptly at Tc.We concluded that (1) on fcc the Ising spin AM-PM transtion being one of the first order should be attributed to the close-packing characteristics of this lattice; and (2) Tc(s) decreases as s increases.
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