Zeros of the finite-size scaling region partition function for a model with a wetting transition |
| |
Authors: | E R Smith |
| |
Institution: | (1) Mathematics Department, La Trobe University, 3083 Bundoora, Victoria, Australia |
| |
Abstract: | We derive a finite-size scaling representation for the partition function for an Onsager-Temperley string model with a wetting transition, and analyze the zeros of this partition function in the complex scaled coupling parameter of relevance. The system models the one-dimensional interface between two phases in a rectangular two-dimensional region (x, y) 2,–L yL,oxN. The two phases are at coexistence. The string or interface has a surface tension 2KkT per unit length and an extra Boltzmann weighta per unit length if it touches the surfaces aty=±L. There is a critical valuea
c=1/2K and fora>a
c the string is confined to one of the surfaces, while fora a
c the string moves roughly in the rectangular region. The finite-size scaling parameters are =a
c
2
N/L
2 and =L(a–a
c)/a
c
2
. We find that for || large, the zeros of the scaled partition function lie close to the lines arg()=±/4 with re()>0. We discuss the motion of all the zeros as changes by both analytic and numerical arguments. |
| |
Keywords: | Wetting transition finite-size scaling partition function zeros |
本文献已被 SpringerLink 等数据库收录! |
|