Hard disks on the hyperbolic plane

被引：31

作者：

Modes, Carl D. ^{[1
]}

Kamien, Randall D. ^{[1
]}

机构：

[1] Univ Penn, Dept Phys & Astron, Philadelphia, PA 19104 USA

来源：

PHYSICAL REVIEW LETTERS | 2007年 / 99卷 / 23期

关键词：

D O I：

10.1103/PhysRevLett.99.235701

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We examine a simple hard disk fluid with no long range interactions on the two-dimensional space of constant negative Gaussian curvature, the hyperbolic plane. This geometry provides a natural mechanism by which global crystalline order is frustrated, allowing us to construct a tractable model of disordered monodisperse hard disks. We extend free-area theory and the virial expansion to this regime, deriving the equation of state for the system, and compare its predictions with simulation near an isostatic packing in the curved space.

引用

页数：4