An exact formalism to study the thermodynamic properties of hard-sphere systems under spherical confinement
Ignacio Urrutia, Gabriela Castelletti
备注：
6 figures. The paper includes new exact results about hard spheres fluid-like systems
发表信息：
Ignacio Urrutia1 and Gabriela Castelletti, An exact formalism to study the thermodynamic properties of hard-sphere systems under spherical confinement, The journal of chemical physics 136, 224509 (2012)
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 with up to three particles confined in a spherical cavity. In addition, the partition function of this system was used to analyze the surface thermodynamic properties of the many-HS system and to derive the exact curvature dependence of both the surface tension and adsorption in powers of the density. The expressions for the surface tension and the adsorption were also obtained for the many- HS system outside of a fixed hard spherical object. We used these results to derive the dependence of the fluid-substrate Tolman length up to first order in density.
Closed-form hard-sphere thermodynamics under nanoscale confinement: from equations of state to unmixing forces
Biofisika Institute (CSIC, UPV/EHU), University of the Basque Country (UPV/EHU)（巴斯克大学（UPV/EHU）生物物理研究所）；IKERBASQUE, Basque Foundation for Science（伊克尔巴斯克，巴斯克科学基金会）；Department of Biomedical Engineering, University of California, Davis（加州大学戴维斯分校生物医学工程系）
Scattering functions for multicomponent mixtures of charged hard spheres, including the polydisperse limit. Analytic expressions in the Mean Spherical Approximation
