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摘要翻译：
在低浓度结构缺陷条件下，我们得到了有序c(2$\×$2)相（反铁磁有序）中具有最近邻排斥的二维晶格气的动态关联函数。结果表明，有序态缺陷的位移是探针区粒子数涨落的主要原因。推导了相应的动力学方程组，并对缺陷浓度进行了线性近似求解。考虑了三种类型的强相关复跳跃，并分析了它们对涨落的贡献。这些是过剩粒子的跳跃，空位和触发器跳跃。动力学方法比我们以前文献中所用的基于类扩散方程的方法更普遍。因此，在我们以前的理论不能给出正确结果的小时刻，就有可能充分地描述涨落的相关性。我们对探测区粒子数涨落的新解析结果与蒙特卡罗模拟的结果吻合得很好。
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英文标题：
《Dynamic correlations in an ordered c(2$\times$2) lattice gas》
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作者：
P. Argyrakis, M. Maragakis, O. Chumak, A. Zhugayevych
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最新提交年份：
2007
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分类信息：
一级分类：Physics 物理学
二级分类：Statistical Mechanics 统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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英文摘要：
We obtain the dynamic correlation function of two-dimensional lattice gas with nearest-neighbor repulsion in ordered c(2$\times$2) phase (antiferromagnetic ordering) under the condition of low concentration of structural defects. It is shown that displacements of defects of the ordered state are responsible for the particle number fluctuations in the probe area. The corresponding set of kinetic equations is derived and solved in linear approximation on the defect concentration. Three types of strongly correlated complex jumps are considered and their contribution to fluctuations is analysed. These are jumps of excess particles, vacancies and flip-flop jumps. The kinetic approach is more general than the one based on diffusion-like equations used in our previous papers. Thus, it becomes possible to adequately describe correlations of fluctuations at small times, where our previous theory fails to give correct results. Our new analytical results for fluctuations of particle number in the probe area agree well with those obtained by Monte Carlo simulations.
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PDF链接：
https://arxiv.org/pdf/709.1623
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