TY - JOUR

T1 - Exact finite-size scaling functions for the interfacial tensions of the Ising model on planar lattices

AU - Wu, Ming Chya

PY - 2006

Y1 - 2006

N2 - Exact finite-size scaling functions of the interfacial tensions are obtained for the Ising model with isotropic coupling on a set of M×N planar lattices, including square (sq), plane triangular (pt), and honeycomb (hc) lattices. The analyses of transitive behaviors at criticality revise the knowledge of the interfacial tensions as a function of the aspect ratio defined by R=MN for R approaching to zero gradually. The amplitudes of the interfacial tensions for the sq, pt, and hc lattices are further shown to have relative proportions 1:32:3 which are related to the aspect ratios for the three lattices to have similar domains.

AB - Exact finite-size scaling functions of the interfacial tensions are obtained for the Ising model with isotropic coupling on a set of M×N planar lattices, including square (sq), plane triangular (pt), and honeycomb (hc) lattices. The analyses of transitive behaviors at criticality revise the knowledge of the interfacial tensions as a function of the aspect ratio defined by R=MN for R approaching to zero gradually. The amplitudes of the interfacial tensions for the sq, pt, and hc lattices are further shown to have relative proportions 1:32:3 which are related to the aspect ratios for the three lattices to have similar domains.

UR - http://www.scopus.com/inward/record.url?scp=33646379344&partnerID=8YFLogxK

U2 - 10.1103/PhysRevE.73.046135

DO - 10.1103/PhysRevE.73.046135

M3 - 期刊論文

AN - SCOPUS:33646379344

SN - 1539-3755

VL - 73

JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

IS - 4

M1 - 046135

ER -