长程作用下Gauss系统的临界温度  

Critical temperature of the Gauss system under long-range interactions

作　　者：王春阳[1] 孔祥木[1] 

机构地区：[1]曲阜师范大学物理系,曲阜273165

出　　处：《物理学报》2005年第9期4365-4369,共5页Acta Physica Sinica

基　　金：曲阜师范大学科研基金资助的课题.~~

摘　　要：利用傅里叶变换的方法,严格求解了d维(d=1,2和3)超立方晶格和二维三角晶格上具有长程相互作用的Gauss模型(这里考虑的长程作用有幂指数、指数和对数三种形式).得到了这些情况下系统的临界点(温度),并对不同形式的长程作用对临界点的影响进行了比较.结果表明,长程相互作用的存在,使得系统的临界温度有了一定程度的升高,它们对系统临界温度的影响与其衰减的快慢有关.Using the Fourier transformation method, we accurately solved the Gauss Model with long-range interactions on the ddimensional hyper-cubic lattices and the two-dimensional triangular lattices. The long-range interactions we considered here include power exponential decreasing, exponential decreasing and natural logarithmic decreasing. At the same time the critical behavior of the Gauss Model with long-range interactions decaying as r^-α on two-dimensional triangular lattices is studied. The critical points of the system under these circumstances are calculated. According to the results we have obtained, we can easily compare the effect of different types of long-range interactions on the critical behavior of the system. As will be seen, for the existence of long-range interactions,the critical temperature of the system rises to some extent. And the effect of the long-range interaction on the critical temperature depends on its decaying rate.

关 键 词：GAUSS模型 临界点 超立方晶格 三角晶格 临界温度 长程作用 系统 长程相互作用 傅里叶变换 立方晶格 

分 类 号：O711.4[理学—晶体学]