Determination of the exponent γ for SAWs on the two-dimensional Manhattan lattice

被引：21

作者：

Caracciolo, S ^{[1
]}

Causo, MS

Grassberger, P

Pelissetto, A

机构：

[1] Scuola Normale Super Pisa, I-56100 Pisa, Italy

[2] Ist Nazl Fis Nucl, Sezione Pisa, I-56100 Pisa, Italy

[3] Forschungszentrum Julich, John Von Neumann Inst Comp, D-52425 Julich, Germany

[4] Univ Roma La Sapienza, Dipartimento Fis, I-00185 Rome, Italy

[5] Univ Roma La Sapienza, Ist Nazl Fis Nucl, Sez Roma 1, I-00185 Rome, Italy

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1999年 / 32卷 / 16期

关键词：

D O I：

10.1088/0305-4470/32/16/004

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We present a high-statistics Monte Carlo determination of the exponent gamma for self-avoiding walks on a Manhattan lattice in two dimensions. A conservative estimate is gamma greater than or similar to 1.3425 +/- 0.0003, in agreement with the universal value 43/32 on regular lattices, but in conflict with predictions from conformal field theory and with a recent estimate from exact enumerations. We find strong corrections to scaling that seem to indicate the presence of a non-analytic exponent Delta < 1. If we assume Delta = 11/16 We find gamma = 1.3436 +/- 0.0003, where the error is purely statistical.

引用

页码：2931 / 2948

页数：18

共 36 条

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[Anonymous], 1975, REPRINTING MONOGRAPH

[2] Two-dimensional oriented self-avoiding walks with parallel contacts [J].