Fluids confined in wedges and by edges: Virial series for the line-thermodynamic properties of hard spheres

Urrutia, Ignacio

doi:10.1063/1.4904383

Title: Fluids confined in wedges and by edges: Virial series for the line-thermodynamic properties of hard spheres

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Abstract

This work is devoted to analyze the relation between the thermodynamic properties of a confined fluid and the shape of its confining vessel. Recently, new insights in this topic were found through the study of cluster integrals for inhomogeneous fluids that revealed the dependence on the vessel shape of the low density behavior of the system. Here, the statistical mechanics and thermodynamics of fluids confined in wedges or by edges is revisited, focusing on their cluster integrals. In particular, the well known hard sphere fluid, which was not studied in this framework so far, is analyzed under confinement and its thermodynamic properties are analytically studied up to order two in the density. Furthermore, the analysis is extended to the confinement produced by a corrugated wall. These results rely on the obtained analytic expression for the second cluster integral of the confined hard sphere system as a function of the opening dihedral angle 0 < β < 2π. It enables a unified approach to both wedges and edges.

Authors:

Urrutia, Ignacio ^[1]

Departamento de Física de la Materia Condensada, Centro Atómico Constituyentes, CNEA, Av.Gral. Paz 1499, 1650 San Martín, Pcia. de Buenos Aires, Argentina and CONICET (Argentina)

Publication Date:: Sun Dec 28 00:00:00 EST 2014

OSTI Identifier:: 22415442

Resource Type:: Journal Article

Journal Name:: Journal of Chemical Physics

Additional Journal Information:: Journal Volume: 141; Journal Issue: 24; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0021-9606

Country of Publication:: United States

Language:: English

Subject:: 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 37 INORGANIC, ORGANIC, PHYSICAL AND ANALYTICAL CHEMISTRY; CONFINEMENT; DENSITY; FLUIDS; FOCUSING; INTEGRALS; SPHERES; STATISTICAL MECHANICS; THERMODYNAMIC PROPERTIES; THERMODYNAMICS

Citation Formats


                    Urrutia, Ignacio. Fluids confined in wedges and by edges: Virial series for the line-thermodynamic properties of hard spheres.  United States: N. p., 2014. 
        Web.  doi:10.1063/1.4904383.

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                    Urrutia, Ignacio. Fluids confined in wedges and by edges: Virial series for the line-thermodynamic properties of hard spheres.  United States.  https://doi.org/10.1063/1.4904383

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                    Urrutia, Ignacio. 2014.  
        "Fluids confined in wedges and by edges: Virial series for the line-thermodynamic properties of hard spheres".  United States.  https://doi.org/10.1063/1.4904383.

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@article{osti_22415442,

  title        = {Fluids confined in wedges and by edges: Virial series for the line-thermodynamic properties of hard spheres},

  author       = {Urrutia, Ignacio},

  abstractNote = {This work is devoted to analyze the relation between the thermodynamic properties of a confined fluid and the shape of its confining vessel. Recently, new insights in this topic were found through the study of cluster integrals for inhomogeneous fluids that revealed the dependence on the vessel shape of the low density behavior of the system. Here, the statistical mechanics and thermodynamics of fluids confined in wedges or by edges is revisited, focusing on their cluster integrals. In particular, the well known hard sphere fluid, which was not studied in this framework so far, is analyzed under confinement and its thermodynamic properties are analytically studied up to order two in the density. Furthermore, the analysis is extended to the confinement produced by a corrugated wall. These results rely on the obtained analytic expression for the second cluster integral of the confined hard sphere system as a function of the opening dihedral angle 0 < β < 2π. It enables a unified approach to both wedges and edges.},

  doi          = {10.1063/1.4904383},

  url          = {https://www.osti.gov/biblio/22415442},
  journal      = {Journal of Chemical Physics},

  issn         = {0021-9606},

  number       = 24,

  volume       = 141,

  place        = {United States},

  year         = {Sun Dec 28 00:00:00 EST 2014},

  month        = {Sun Dec 28 00:00:00 EST 2014}

}

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