Feng Xiaomei, Blöte Henk W J, Nienhuis Bernard
Nanjing University of Aeronautics and Astronautics, Nanjing, People's Republic of China.
Phys Rev E Stat Nonlin Soft Matter Phys. 2011 Jun;83(6 Pt 1):061153. doi: 10.1103/PhysRevE.83.061153. Epub 2011 Jun 30.
We investigate a hard-square lattice gas on the square lattice by means of transfer-matrix and Monte Carlo methods. The size of the hard squares is equal to two lattice constants, so the simultaneous occupation of nearest-neighbor sites as well as of next-to-nearest-neighbor sites is excluded. Near saturation of the particle density, this system is known to undergo a phase transition to one out of four partially ordered phases. We find that this transition displays strong finite-size corrections to scaling and that the correlation functions deviate from isotropy to rather large distances. In contrast with an earlier study, we find that the critical temperature exponent of the transition is not Ising-like.
我们通过转移矩阵和蒙特卡罗方法研究了正方晶格上的硬方晶格气体。硬方的大小等于两个晶格常数，因此排除了最近邻格点以及次近邻格点的同时占据。在粒子密度接近饱和时，已知该系统会经历向四个部分有序相之一的相变。我们发现这种转变对标度显示出强烈的有限尺寸修正，并且相关函数在相当大的距离上偏离各向同性。与早期的一项研究不同，我们发现该转变的临界温度指数不像伊辛模型那样。
