Thermodynamics and structure of simple liquids in the hyperbolic plane

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dc.creatorSausset, François
dc.creatorTarjus, Gilles
dc.creatorViot, Pascal
dc.date2009-03-04
dc.date2009-05-18
dc.date.accessioned2026-07-07T13:15:28Z
dc.date.available2026-07-07T13:15:28Z
dc.descriptionWe provide a consistent statistical-mechanical treatment for describing the thermodynamics and the structure of fluids embedded in the hyperbolic plane. In particular, we derive a generalization of the virial equation relating the bulk thermodynamic pressure to the pair correlation function and we develop the appropriate setting for extending the integral-equation approach of liquid-state theory in order to describe the fluid structure. We apply the formalism and study the influence of negative space curvature on two types of systems that have been recently considered: Coulombic systems, such as the one- and two-component plasma models, and fluids interacting through short-range pair potentials, such as the hard-disk and the Lennard-Jones models.
dc.description25 pages, 10 Figures
dc.identifierhttps://arxiv.org/abs/0903.0745
dc.identifierhttp://arxiv.org/abs/0903.0745
dc.identifierJ. Stat. Mech., P04022 (2009)
dc.identifierdoi:10.1088/1742-5468/2009/04/P04022
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/230481
dc.subjectStatistical Mechanics
dc.titleThermodynamics and structure of simple liquids in the hyperbolic plane
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