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摘要翻译：
本文考虑了一些经典的铁磁晶格-气体模型，它们由带有$n$-分量自旋($n=2,3$)的粒子组成，并与a$d$-维晶格($d=2,3$)相关联；每个位点最多可以容纳一个粒子，从而隐含地允许硬核排斥；这对相互作用仅限于最近邻，是铁磁性的，位的占据也受化学势$\mu$控制。对于d=2和d=3,以前用平均场和双位点聚类处理（当d=3)以及在$\mu=0$的情况下用大正则蒙特卡罗模拟研究了这些模型；所得结果显示了与饱和晶格对应的临界行为相同的临界行为，对应于每个位点一个粒子。本文用巨正则蒙特卡罗模拟研究了化学势为负值且足够大的情况；对于前面研究的四个对应项，每个对应项都选择了$\mu=-d/2$，在另一个实例中选择了$\mu=-3d/4$。在d=2和d=3的情况下，我们大多发现了一级跃迁的证据，并定量地描述了它们的行为。并与最近的实验结果进行了比较。
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英文标题：
《First order phase transitions in classical lattice gas spin models》
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作者：
H Chamati and S Romano
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最新提交年份：
2007
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分类信息：
一级分类：Physics 物理学
二级分类：Statistical Mechanics 统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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一级分类：Physics 物理学
二级分类：Disordered Systems and Neural Networks 无序系统与神经网络
分类描述：Glasses and spin glasses; properties of random, aperiodic and quasiperiodic systems; transport in disordered media; localization; phenomena mediated by defects and disorder; neural networks
眼镜和旋转眼镜；随机、非周期和准周期系统的性质；无序介质中的传输；本地化；由缺陷和无序介导的现象；神经网络
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英文摘要：
The present paper considers some classical ferromagnetic lattice--gas models, consisting of particles that carry $n$--component spins ($n=2,3$) and associated with a $D$--dimensional lattice ($D=2,3$); each site can host one particle at most, thus implicitly allowing for hard--core repulsion; the pair interaction, restricted to nearest neighbors, is ferromagnetic, and site occupation is also controlled by the chemical potential $\mu$. The models had previously been investigated by Mean Field and Two--Site Cluster treatments (when D=3), as well as Grand--Canonical Monte Carlo simulation in the case $\mu=0$, for both D=2 and D=3; the obtained results showed the same kind of critical behaviour as the one known for their saturated lattice counterparts, corresponding to one particle per site. Here we addressed by Grand--Canonical Monte Carlo simulation the case where the chemical potential is negative and sufficiently large in magnitude; the value $\mu=-D/2$ was chosen for each of the four previously investigated counterparts, together with $\mu=-3D/4$ in an additional instance. We mostly found evidence of first order transitions, both for D=2 and D=3, and quantitatively characterized their behaviour. Comparisons are also made with recent experimental results.
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PDF链接：
https://arxiv.org/pdf/705.2116
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