APPLICATION OF A CONSTRAINED-TRANSFER-MATRIX METHOD TO METASTABILITY IN THE D=2 ISING FERROMAGNET

被引:30
作者
GUNTHER, CCA
RIKVOLD, PA
NOVOTNY, MA
机构
[1] FLORIDA STATE UNIV,DEPT PHYS,TALLAHASSEE,FL 32306
[2] FLORIDA STATE UNIV,CTR MAT RES & TECHNOL,TALLAHASSEE,FL 32306
来源
PHYSICA A | 1994年 / 212卷 / 1-2期
基金
美国国家科学基金会;
关键词
D O I
10.1016/0378-4371(94)90147-3
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Applying a numerical transfer-matrix formalism, we obtain complex-valued constrained free energies for the two-dimensional square-lattice nearest-neighbor Ising ferromagnet below its critical temperature and in an external magnetic field. In particular, we study the imaginary part of the constrained free-energy branch that corresponds to the metastable phase. Although droplets are not introduced explicitly, the metastable free energy is obtained in excellent agreement with field-theoretical droplet-model predictions. The finite-size scaling properties are different in the weak-field and intermediate-field regimes, and we identify the corresponding different critical-droplet shapes. For intermediate fields, we show that the surface free energy of the critical droplet is given by a Wulff construction with the equilibrium surface tension, We also find a prefactor exponent in complete agreement with the field-theoretical droplet model. Our results extend the region of validity for known results of this field-theoretical droplet model, and they indicate that this transfer-matrix approach provides a nonperturbative numerical continuation of the equilibrium free energy into the metastable phase,
引用
收藏
页码:194 / 229
页数:36
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