An exact formalism to study the thermodynamic properties of hard-sphere systems under spherical confinement

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 wi...

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Guardado en:
Detalles Bibliográficos
Publicado: 2012
Materias:
First order
Grand canonical ensemble
Hard spheres
Hard-sphere system
Inhomogeneous system
Partition functions
Spherical cavities
Spherical objects
Adsorption
Surface tension
Thermodynamic properties
Spheres
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00219606_v136_n22_p_Urrutia
http://hdl.handle.net/20.500.12110/paper_00219606_v136_n22_p_Urrutia
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_00219606_v136_n22_p_Urrutia
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spelling paper:paper_00219606_v136_n22_p_Urrutia2023-06-08T14:44:21Z An exact formalism to study the thermodynamic properties of hard-sphere systems under spherical confinement First order Grand canonical ensemble Hard spheres Hard-sphere system Inhomogeneous system Partition functions Spherical cavities Spherical objects Adsorption Surface tension Thermodynamic properties Spheres 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. © 2012 American Institute of Physics. 2012 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00219606_v136_n22_p_Urrutia http://hdl.handle.net/20.500.12110/paper_00219606_v136_n22_p_Urrutia
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic First order
Grand canonical ensemble
Hard spheres
Hard-sphere system
Inhomogeneous system
Partition functions
Spherical cavities
Spherical objects
Adsorption
Surface tension
Thermodynamic properties
Spheres
spellingShingle First order
Grand canonical ensemble
Hard spheres
Hard-sphere system
Inhomogeneous system
Partition functions
Spherical cavities
Spherical objects
Adsorption
Surface tension
Thermodynamic properties
Spheres
An exact formalism to study the thermodynamic properties of hard-sphere systems under spherical confinement
topic_facet First order
Grand canonical ensemble
Hard spheres
Hard-sphere system
Inhomogeneous system
Partition functions
Spherical cavities
Spherical objects
Adsorption
Surface tension
Thermodynamic properties
Spheres
description 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. © 2012 American Institute of Physics.
title An exact formalism to study the thermodynamic properties of hard-sphere systems under spherical confinement
title_short An exact formalism to study the thermodynamic properties of hard-sphere systems under spherical confinement
title_full An exact formalism to study the thermodynamic properties of hard-sphere systems under spherical confinement
title_fullStr An exact formalism to study the thermodynamic properties of hard-sphere systems under spherical confinement
title_full_unstemmed An exact formalism to study the thermodynamic properties of hard-sphere systems under spherical confinement
title_sort exact formalism to study the thermodynamic properties of hard-sphere systems under spherical confinement
publishDate 2012
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00219606_v136_n22_p_Urrutia
http://hdl.handle.net/20.500.12110/paper_00219606_v136_n22_p_Urrutia
_version_ 1768545219792338944

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