Two interacting particles in a spherical pore

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In this work we analytically evaluate, for the first time, the exact canonical partition function for two interacting spherical particles into a spherical pore. The interaction with the spherical substrate and between particles is described by an attractive square-well and a square-shoulder potentia...

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Autores principales: Urrutia, I., Castelletti, G.
Formato: Artículo publishedVersion
Lenguaje:Inglés
Publicado: 2011
Materias:
Canonical partition function
Few body systems
First-order dependence
Fluid potentials
Gaussian curvatures
Hard walls
Interacting particles
Interaction potentials
Low density
Many-body systems
Spherical cavities
Spherical particle
Spherical pores
Spherical substrates
Square-well
Two particles
Zero order
Surface properties
Surface tension
Spheres
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00219606_v134_n6_p_Urrutia
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling paperaa:paper_00219606_v134_n6_p_Urrutia2023-06-12T16:43:24Z Two interacting particles in a spherical pore J Chem Phys 2011;134(6) Urrutia, I. Castelletti, G. Canonical partition function Few body systems First-order dependence Fluid potentials Gaussian curvatures Hard walls Interacting particles Interaction potentials Low density Many-body systems Spherical cavities Spherical particle Spherical pores Spherical substrates Square-well Two particles Zero order Surface properties Surface tension Spheres In this work we analytically evaluate, for the first time, the exact canonical partition function for two interacting spherical particles into a spherical pore. The interaction with the spherical substrate and between particles is described by an attractive square-well and a square-shoulder potential. In addition, we obtain exact expressions for both the one particle and an averaged two particle density distribution. We develop a thermodynamic approach to few-body systems by introducing a method based on thermodynamic measures [I. Urrutia, J. Chem. Phys. 134, 104503 (2010)] for nonhard interaction potentials. This analysis enables us to obtain expressions for the pressure, the surface tension, and the equivalent magnitudes for the total and Gaussian curvatures. As a by-product, we solve systems composed of two particles outside a fixed spherical obstacle. We study the low density limit for a many-body system confined to a spherical cavity and a many-body system surrounding a spherical obstacle. From this analysis we derive the exact first order dependence of the surface tension and Tolman length. Our findings show that the Tolman length goes to zero in the case of a purely hard wall spherical substrate, but contains a zero order term in density for square-well and square-shoulder wall-fluid potentials. This suggests that any nonhard wall-fluid potential should produce a non-null zero order term in the Tolman length. © 2011 American Institute of Physics. Fil:Urrutia, I. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Castelletti, G. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2011 info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion application/pdf eng info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00219606_v134_n6_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)
language Inglés
orig_language_str_mv eng
topic Canonical partition function
Few body systems
First-order dependence
Fluid potentials
Gaussian curvatures
Hard walls
Interacting particles
Interaction potentials
Low density
Many-body systems
Spherical cavities
Spherical particle
Spherical pores
Spherical substrates
Square-well
Two particles
Zero order
Surface properties
Surface tension
Spheres
spellingShingle Canonical partition function
Few body systems
First-order dependence
Fluid potentials
Gaussian curvatures
Hard walls
Interacting particles
Interaction potentials
Low density
Many-body systems
Spherical cavities
Spherical particle
Spherical pores
Spherical substrates
Square-well
Two particles
Zero order
Surface properties
Surface tension
Spheres
Urrutia, I.
Castelletti, G.
Two interacting particles in a spherical pore
topic_facet Canonical partition function
Few body systems
First-order dependence
Fluid potentials
Gaussian curvatures
Hard walls
Interacting particles
Interaction potentials
Low density
Many-body systems
Spherical cavities
Spherical particle
Spherical pores
Spherical substrates
Square-well
Two particles
Zero order
Surface properties
Surface tension
Spheres
description In this work we analytically evaluate, for the first time, the exact canonical partition function for two interacting spherical particles into a spherical pore. The interaction with the spherical substrate and between particles is described by an attractive square-well and a square-shoulder potential. In addition, we obtain exact expressions for both the one particle and an averaged two particle density distribution. We develop a thermodynamic approach to few-body systems by introducing a method based on thermodynamic measures [I. Urrutia, J. Chem. Phys. 134, 104503 (2010)] for nonhard interaction potentials. This analysis enables us to obtain expressions for the pressure, the surface tension, and the equivalent magnitudes for the total and Gaussian curvatures. As a by-product, we solve systems composed of two particles outside a fixed spherical obstacle. We study the low density limit for a many-body system confined to a spherical cavity and a many-body system surrounding a spherical obstacle. From this analysis we derive the exact first order dependence of the surface tension and Tolman length. Our findings show that the Tolman length goes to zero in the case of a purely hard wall spherical substrate, but contains a zero order term in density for square-well and square-shoulder wall-fluid potentials. This suggests that any nonhard wall-fluid potential should produce a non-null zero order term in the Tolman length. © 2011 American Institute of Physics.
format Artículo
Artículo
publishedVersion
author Urrutia, I.
Castelletti, G.
author_facet Urrutia, I.
Castelletti, G.
author_sort Urrutia, I.
title Two interacting particles in a spherical pore
title_short Two interacting particles in a spherical pore
title_full Two interacting particles in a spherical pore
title_fullStr Two interacting particles in a spherical pore
title_full_unstemmed Two interacting particles in a spherical pore
title_sort two interacting particles in a spherical pore
publishDate 2011
url http://hdl.handle.net/20.500.12110/paper_00219606_v134_n6_p_Urrutia
work_keys_str_mv AT urrutiai twointeractingparticlesinasphericalpore
AT castellettig twointeractingparticlesinasphericalpore
_version_ 1769810217009152000

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