Thermodynamics and structure of simple liquids in the hyperbolic plane

Details Thermodynamics and structure of simple liquids in the hyperbolic plane Thermodynamics and structure of simple liquids in the hyperbolic plane

2009-03-04

arxiv.org/abs/0903.0745v2

J. Stat. Mech., P04022 (2009)

Physics

Condensed Matter

Statistical Mechanics

25 pages, 10 Figures

Scientific paper

10.1088/1742-5468/2009/04/P04022

We 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.

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