Canonical solution of a system of long-range interacting rotators on a lattice

被引：74

作者：

Campa, A

Giansanti, A

Moroni, D

机构：

[1] Univ Rome La Sapienza, Dept Phys, I-00185 Rome, Italy

[2] Ist Super Sanita, Fis Lab, I-00161 Rome, Italy

[3] Ist Nazl Fis Nucl, Sez Roma 1, Grp Collegato Sanita, I-00161 Rome, Italy

[4] INFM, Unita Roma 1, I-00185 Rome, Italy

来源：

PHYSICAL REVIEW E | 2000年 / 62卷 / 01期

关键词：

Crystal lattices - Functions - Mathematical models - Potential energy - Thermodynamics;

D O I：

10.1103/PhysRevE.62.303

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：

The canonical partition function of a system of rotators (classical X-Y spins) on a lattice, coupled by terms decaying as the inverse of their distance to the power alpha, is analytically computed. It is also shown how to compute a rescaling function that allows us to reduce the model, for any d-dimensional lattice and for any alpha<d, to the mean-field (alpha=0) model.

引用

页码：303 / 306

页数：4

共 6 条

[1] Breakdown of exponential sensitivity to initial conditions: Role of the range of interactions [J].