Hard Discs on the Hyperbolic Plane

Simple item page
dc.creatorModes, Carl D.
dc.creatorKamien, Randall D.
dc.date2007-08-31
dc.date2007-11-30
dc.date.accessioned2026-07-07T08:46:18Z
dc.date.available2026-07-07T08:46:18Z
dc.descriptionWe examine a simple hard disc 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 discs. 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.
dc.description4 pages, 3 figures, included, final version
dc.identifierhttps://arxiv.org/abs/0708.4334
dc.identifierhttp://arxiv.org/abs/0708.4334
dc.identifierPhys. Rev. Lett. 99 (2007) 235701
dc.identifierdoi:10.1103/PhysRevLett.99.235701
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/143206
dc.subjectStatistical Mechanics
dc.subjectSoft Condensed Matter
dc.titleHard Discs on the Hyperbolic Plane
dc.typetext

Files

Collections

arXiv