Abstract:
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.
Registro:
Documento: |
Artículo
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Título: | An exact formalism to study the thermodynamic properties of hard-sphere systems under spherical confinement |
Autor: | Urrutia, I.; Castelletti, G. |
Filiación: | Consejo Nacional de Investigaciones Científicas y Técnicas, Argentina (CONICET), Departamento de Física, Comisión Nacional de Energía Atómica, Av. Gral. Paz 1499, (RA-1650) San Martín, Buenos Aires, Argentina Instituto de Astronomía y Física Del Espacio (CONICET-UBA), Ciudad Universitaria, Cdad. Aut. de Buenos Aires, Argentina
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Palabras clave: | First order; Grand canonical ensemble; Hard spheres; Hard-sphere system; Inhomogeneous system; Partition functions; Spherical cavities; Spherical objects; Adsorption; Surface tension; Thermodynamic properties; Spheres |
Año: | 2012
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Volumen: | 136
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Número: | 22
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DOI: |
http://dx.doi.org/10.1063/1.4729249 |
Título revista: | Journal of Chemical Physics
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Título revista abreviado: | J Chem Phys
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ISSN: | 00219606
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CODEN: | JCPSA
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00219606_v136_n22_p_Urrutia |
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Citas:
---------- APA ----------
Urrutia, I. & Castelletti, G.
(2012)
. An exact formalism to study the thermodynamic properties of hard-sphere systems under spherical confinement. Journal of Chemical Physics, 136(22).
http://dx.doi.org/10.1063/1.4729249---------- CHICAGO ----------
Urrutia, I., Castelletti, G.
"An exact formalism to study the thermodynamic properties of hard-sphere systems under spherical confinement"
. Journal of Chemical Physics 136, no. 22
(2012).
http://dx.doi.org/10.1063/1.4729249---------- MLA ----------
Urrutia, I., Castelletti, G.
"An exact formalism to study the thermodynamic properties of hard-sphere systems under spherical confinement"
. Journal of Chemical Physics, vol. 136, no. 22, 2012.
http://dx.doi.org/10.1063/1.4729249---------- VANCOUVER ----------
Urrutia, I., Castelletti, G. An exact formalism to study the thermodynamic properties of hard-sphere systems under spherical confinement. J Chem Phys. 2012;136(22).
http://dx.doi.org/10.1063/1.4729249