YANG-LEE EDGE SINGULARITY IN THE ONE-DIMENSIONAL LONG-RANGE ISING-MODEL

被引:12
作者
GLUMAC, Z
UZELAC, K
机构
[1] Inst. of Phys., Zagreb Univ.
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1991年 / 24卷 / 02期
关键词
D O I
10.1088/0305-4470/24/2/022
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The finite-range scaling method has been used to study the Yang-Lee edge singularity problem for the one-dimensional ferromagnetic Ising model with long-range interactions decaying with distance r, as r-d-sigma. The phase diagram and the critical exponent nu have been calculated for different values of signa by using finite ranges L less-than-or-equal-to 9. The critical value sigma-c dividing the long-range from the short-range critical regime has been discussed.
引用
收藏
页码:501 / 511
页数:11
相关论文
共 23 条
[1]   RELATION IN ISING-MODEL OF LEE-YANG BRANCH POINT AND CRITICAL BEHAVIOR [J].
BAKER, GA ;
MOUSSA, P .
JOURNAL OF APPLIED PHYSICS, 1978, 49 (03) :1360-1362
[2]   AN INVESTIGATION OF FINITE SIZE SCALING [J].
BREZIN, E .
JOURNAL DE PHYSIQUE, 1982, 43 (01) :15-22
[3]   DIRECTED LATTICE ANIMALS AND THE LEE-YANG EDGE SINGULARITY [J].
CARDY, JL .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1982, 15 (11) :L593-L595
[4]   CONFORMAL-INVARIANCE AND THE YANG-LEE EDGE SINGULARITY IN 2 DIMENSIONS [J].
CARDY, JL .
PHYSICAL REVIEW LETTERS, 1985, 54 (13) :1354-1356
[5]   SPIN-GLASS WITH LONG-RANGE RANDOM EXCHANGE INTERACTION [J].
CHANG, MC ;
SAK, J .
PHYSICAL REVIEW B, 1984, 29 (05) :2652-2654
[7]   BOUNDED AND INHOMOGENEOUS ISING MODELS .I. SPECIFIC-HEAT ANOMALY OF A FINITE LATTICE [J].
FERDINAN.AE ;
FISHER, ME .
PHYSICAL REVIEW, 1969, 185 (02) :832-&
[8]   YANG-LEE EDGE SINGULARITY AND PHI-3 FIELD-THEORY [J].
FISHER, ME .
PHYSICAL REVIEW LETTERS, 1978, 40 (25) :1610-1613
[9]   FINITE-RANGE SCALING STUDY OF THE 1D LONG-RANGE ISING-MODEL [J].
GLUMAC, Z ;
UZELAC, K .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1989, 22 (20) :4439-4452
[10]   FINITE-LATTICE EXTRAPOLATIONS FOR Z3-MODEL AND Z5-MODEL [J].
HAMER, CJ ;
BARBER, MN .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1981, 14 (08) :2009-2025