Statistical properties of two interacting soft spheres in a hard spherical pore

The structure and thermodynamics of two soft spheres, whose interactions include the soft repulsion and attraction, confined in a hard spherical pore have been considered. The exact partition function, one-body density, and equation of state have been obtained using the Fourier transform method. The...

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Bibliographic Details
Published inJournal of statistical mechanics Vol. 2015; no. 6; pp. P06010 - 12
Main Author Kim, Soon-Chul
Format Journal Article
LanguageEnglish
Published IOP Publishing and SISSA 01.06.2015
Subjects
Attraction
Compressibility
Density
Fourier transforms
Instability
Porosity
Statistical mechanics
Thermodynamic properties
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Summary:The structure and thermodynamics of two soft spheres, whose interactions include the soft repulsion and attraction, confined in a hard spherical pore have been considered. The exact partition function, one-body density, and equation of state have been obtained using the Fourier transform method. The pore-size and potential dependence of the structural and thermodynamic properties have been investigated. The two penetrable square-well spheres shows a negative compressibility of the van der Waals type, which imitates the phase transition of many particle system. The van der Waals instability for two penetrable square-well spheres has been studied.
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ISSN:1742-5468
1742-5468
DOI:10.1088/1742-5468/2015/06/P06010