Few particles confined in an open pore

Details Few particles confined in an open pore Few particles confined in an open pore

2012-03-09

arxiv.org/abs/1203.2145v1

Physics

Condensed Matter

Statistical Mechanics

4 figures and one supplemental material. Include new exact results about hard spheres fluid-like systems

Scientific paper

This paper presents a modified grand canonical ensemble which provides a new simple and efficient scheme to study few-body fluid-like inhomogeneous systems under confinement. The new formalism is implemented to investigate the exact thermodynamic properties of a hard sphere (HS) fluid-like system confined in a spherical cavity with up to three particles. In addition, the partition function of this system was used to analyze the surface thermodynamic properties of the many-HS system and to derive both, the exact curvature dependence of the surface tension and adsorption, in powers of the density. We use these results to derive for this system the dependence of the fluid-substrate Tolman length up to first order in density.

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