The density of a fluid on a curved surface

Abstract

We discuss the property of the number density of a fluid of particles living in a curved surface without boundaries to be constant in the thermodynamic limit. In particular we find a sufficient condition for the density to be constant along the Killing vector field generating a given isometry of the surface and the relevant necessary condition. We reinterpret the effect of a curvature on the fluid in a physical way as responsible of an external "force" acting on the particles.

10 pages

References in corpus (6)

• Exact Finite Size Study of the 2dOCP at Gamma=4 and Gamma=6
• Coulomb Systems Seen as Critical Systems: Ideal Conductor Boundaries
• Two-dimensional one-component plasma on a Flamm's paraboloid
• Charge Fluctuations for a Coulomb Fluid in a Disk on a Pseudosphere
• Two Component Plasma in a Flamm's Paraboloid
• The two-dimensional two-component plasma plus background on a sphere : Exact results

Cited by in corpus (6)

• Jellium at finite temperature
• One-component fermion plasma on a sphere at finite temperature
• Form invariance of the moment sum-rules for jellium with the addition of short-range terms in the pair-potential
• Plasma living in a curved surface at some special temperature
• Two component boson-fermion plasma at finite temperature
• One-component fermion plasma on a sphere at finite temperature. The anisotropy in the paths conformations