Department of Physics Papers

Document Type

Journal Article

Date of this Version



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.


Suggested Citation:
C.D. Modes and R.D. Kamien. (2007). "Hard Disks on the Hyperbolic Plane." Physical Review Letters. 99, 235701.

© 2007 The American Physical Society

Included in

Physics Commons



Date Posted: 02 February 2011

This document has been peer reviewed.