High-precision determination of the critical exponent γ for self-avoiding walks

被引：68

作者：

Caracciolo, S ^{[1
]}

Causo, MS

Pelissetto, A

机构：

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

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

[3] Univ Lecce, Dipartimento Fis, I-73100 Lecce, Italy

[4] Ist Nazl Fis Nucl, I-73100 Lecce, Italy

[5] Univ Pisa, Dipartimento Fis, I-56100 Pisa, Italy

[6] Univ Pisa, Ist Nazl Fis Nucl, I-56100 Pisa, Italy

来源：

PHYSICAL REVIEW E | 1998年 / 57卷 / 02期

关键词：

D O I：

10.1103/PhysRevE.57.R1215

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

We consider three-dimensional self-avoiding walks. We compute the exponent gamma that controls the asymptotic behavior of the number of walks going from the origin to any lattice point in N steps. We get gamma = 1.1575+/-0.0006 in agreement with renormalization-group predictions. Earlier Monte Carlo and exact-enumeration determinations are now seen to be biased by corrections to scaling. [S1063-651X(98)50202-4].

引用

页码：R1215 / R1218

页数：4

共 23 条

[1] JOIN-AND-CUT ALGORITHM FOR SELF-AVOIDING WALKS WITH VARIABLE LENGTH AND FREE END-POINTS [J].