An analytical treatment of critical temperature of (d+1)-dimensional Ising layers

被引:8
作者
Song, YX
Chen, Y
Luo, JL
Xian, DC
机构
[1] SICHUAN UNIV,DEPT CHEM,CHENGDU 610064,PEOPLES R CHINA
[2] ACAD SINICA,INST HIGH ENERGY PHYS,BEIJING 100039,PEOPLES R CHINA
关键词
cumulant expression; order parameter; critical point; Ising layers;
D O I
10.1016/0375-9601(96)00534-8
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Described is a scheme of successive approximations used to compute a critical point. An order parameter J is introduced automatically in the cumulant expansion. The critical temperature T-c is determined by the singular point of the curve of J versus temperature. This method is applied to (d + 1)-dimensional Ising layers. T-c as an analytical function of d is obtained for a system of uniform layers. A more realistic case, which lacks the layer to layer symmetry, is also investigated.
引用
收藏
页码:124 / 133
页数:10
相关论文
共 12 条
[1]   EFFECTIVE MEAN-FIELD THEORY-BASED ON CUMULANT EXPANSION - A NEW APPROACH METHOD ORDER BY ORDER [J].
AN, Y ;
SONG, YX .
COMMUNICATIONS IN THEORETICAL PHYSICS, 1995, 24 (02) :233-238
[2]  
Bragg WL., 1934, Proc. R. Soc. Lond. A Math. Phys. Sci, V145, P699, DOI DOI 10.1098/RSPA.1934.0132
[3]   SUSCEPTIBILITY SCALING FUNCTIONS FOR FERROMAGNETIC ISING FILMS [J].
CAPEHART, TW ;
FISHER, ME .
PHYSICAL REVIEW B, 1976, 13 (11) :5021-5038
[4]  
CHE H, 1989, COMMUN THEOR PHYS, V12, P273
[5]   AN IMPROVED VARIATIONAL TREATMENT OF LATTICE GAUGE-THEORIES [J].
HE, XH ;
HSIEN, TC ;
SONG, YX .
PHYSICS LETTERS B, 1985, 153 (06) :417-421
[6]   GENERALIZED CUMULANT EXPANSION METHOD [J].
KUBO, R .
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1962, 17 (07) :1100-&
[7]   CRITICAL-TEMPERATURE OF (D+1)-DIMENSIONAL ISING FILMS [J].
LIN, DL ;
CHE, H ;
XIA, Y .
PHYSICAL REVIEW A, 1992, 46 (04) :1805-1809
[8]   SERIES EXPANSION OF DISTRIBUTION FUNCTIONS IN MULTICOMPONENT FLUID SYSTEMS [J].
MEERON, E .
JOURNAL OF CHEMICAL PHYSICS, 1957, 27 (06) :1238-1246
[9]   Crystal statistics I A two-dimensional model with an order-disorder transition [J].
Onsager, L .
PHYSICAL REVIEW, 1944, 65 (3/4) :117-149
[10]   THE AVERAGE FREE-ENERGY AND THE EFFECTIVE MEAN FIELD HYPOTHESIS [J].
SONG, YX ;
ZHOU, SK ;
ZHAO, PY .
COMMUNICATIONS IN THEORETICAL PHYSICS, 1992, 17 (04) :421-424