FLUID INTERFACES IN THE 3D ISING-MODEL AS A DILUTE GAS OF HANDLES

被引：5

作者：

CASELLE, M ^{[1
]}

GLIOZZI, F ^{[1
]}

MAGNEA, U ^{[1
]}

机构：

[1] SUNY STONY BROOK,DEPT PHYS,STONY BROOK,NY 11794

来源：

PHYSICA A | 1995年 / 215卷 / 1-2期

关键词：

D O I：

10.1016/0378-4371(94)00289-6

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study the topology of fluid interfaces in the 3D Ising model in the rough phase. It turns out that such interfaces are accurately described as dilute gases of microscopic handles, and the stiffness of the interface increases with the genus. The number of configurations of genus g follows a Poisson-like distribution. The probability per unit area for creating a handle is well fitted in a wide range of the inverse temperature beta near the roughening point by an exponentially decreasing function of beta. The procedure of summing over all topologies results in an effective interface whose squared width scales logarithmically with the lattice size.

引用

页码：21 / 39

页数：19

共 10 条

[1]

Brezin, Zinn-Justin, Les Houches, Session XLIV, Fields, Strings and Critical Phenomena, (1988)

[2]

Meunier, Langevin, Boccara, Physics of Amphiphilic Layers, (1987)

[3]

Hasenbusch, Pinn, Physica A, 192, (1993)

[4]

Caselle, Gliozzi, Vinti, Phys. Lett. B, 302, (1993)

[5]

Luscher, Nucl. Phys. B, 180, (1981)

[6]

Caselle, Gliozzi, Vinti, Nucl. Phys. B (Proc. Suppl.), 34, (1994)

[7]

Dotsenko, Harris, Marinari, Martinec, Picco, Windey, Phys. Rev. Lett., 71, (1993)

[8]

Martellini, Spreafico, Yoshida, A generalized model for 2D quantum gravity and dynamics of random surfaces for d 〉 1, (1994)

[9]

Ambjorn, Thorleifsson, A universal fractal structure of 2d quantum gravity for c > 1, Physics Letters B, 323, (1994)

[10]

Baillie, Gupta, Hawick, Pawley, Phys. Rev. B, 45, (1992)

← 1 →