Partition function zeros of the one-dimensional Blume-Capel model in transfer matrix formalism

被引:18
|
作者
Ghulghazaryan, R. G. [1 ]
Sargsyan, K. G. [1 ]
Ananikian, N. S. [1 ]
机构
[1] Yerevan Phys Inst, Dept Theoret Phys, Yerevan 375036, Armenia
来源
PHYSICAL REVIEW E | 2007年 / 76卷 / 02期
关键词
D O I
10.1103/PhysRevE.76.021104
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
Zeros of the partition function of the one-dimensional ferromagnetic and antiferromagnetic Blume-Capel models have been studied by using the transfer matrix method in the thermodynamic limit and for finite size chains. The equation for the distribution of zeros of the partition function in the thermodynamic limit is derived. The distribution of the Yang-Lee and Fisher zeros are studied for a variety of values of the parameters of the model. Densities of the Yang-Lee and Fisher zeros are investigated and a singular behavior of the corresponding densities of zeros at the edge points is shown. The edge singularity exponents are calculated analytically for the densities of the Yang-Lee and Fisher zeros. It is found that for both cases edge singularity exponents are universal and equal to sigma=-1/2.
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页数:9
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