Statistical Mechanics of liquids and fluids in curved space

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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66 pages, 15 Figures. Submitted to Adv. Chem. Phys

Scientific paper

In this article, we review the progress made on the statistical mechanics of liquids and fluids embedded in curved space. Our main focus will be on two-dimensional manifolds of constant nonzero curvature and on the influence of the latter on the phase behavior, thermodynamics and structure of simple liquids. Reference will also be made to existing work on three-dimensional curved space and two-dimensional manifolds with varying curvature.

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