Periodic boundary conditions on the pseudosphere

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dc.creatorSausset, François
dc.creatorTarjus, Gilles
dc.date2007-03-13
dc.date2007-10-02
dc.date.accessioned2026-07-07T11:40:43Z
dc.date.available2026-07-07T11:40:43Z
dc.descriptionWe provide a framework to build periodic boundary conditions on the pseudosphere (or hyperbolic plane), the infinite two-dimensional Riemannian space of constant negative curvature. Starting from the common case of periodic boundary conditions in the Euclidean plane, we introduce all the needed mathematical notions and sketch a classification of periodic boundary conditions on the hyperbolic plane. We stress the possible applications in statistical mechanics for studying the bulk behavior of physical systems and we illustrate how to implement such periodic boundary conditions in two examples, the dynamics of particles on the pseudosphere and the study of classical spins on hyperbolic lattices.
dc.description30 pages, minor corrections, accepted to J. Phys. A
dc.identifierhttps://arxiv.org/abs/cond-mat/0703326
dc.identifierhttp://arxiv.org/abs/cond-mat/0703326
dc.identifierJ.PHys.A40:12873-12899,2007
dc.identifierdoi:10.1088/1751-8113/40/43/004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/200341
dc.subjectStatistical Mechanics
dc.subjectMathematical Physics
dc.titlePeriodic boundary conditions on the pseudosphere
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