Simple equation of state for hard disks on the hyperbolic plane

TL;DR

This paper proposes a simple equation of state for hard disks on the hyperbolic plane, accurately capturing the second virial coefficient and packing limits, with validation against recent theories and simulations.

Contribution

Introduces a novel, simple equation of state for hyperbolic hard disks that matches key theoretical and simulation benchmarks.

Findings

Accurately reproduces the second virial coefficient.

Features a pole at maximum packing density.

Aligns well with recent theoretical and simulation data.

Abstract

A simple equation of state for hard disks on the hyperbolic plane is proposed. It yields the exact second virial coefficient and contains a pole at the highest possible packing. A comparison with another very recent theoretical proposal and simulation data is presented.