Abstract
The recently proposed scaled particle theory SPT2 approach to the description of three-dimensional hard sphere fluids in random porous media is extended for oneand two-dimensional cases. Analytical expressions for the chemical potential and pressure of oneand two-dimensional hard sphere fluids in hard sphere and overlapping hard sphere matrices are obtained and discussed. Some improvements and modifications of the obtained results are proposed.
Highlights
Much theoretical effort has been devoted to the study of fluids in porous materials for the last two decades starting with a pioneering work of Madden and Gland [1]
In sharp contrast with the bulk fluid, no analytical results have been obtained in the integral equation approach even for a simple model like a hard sphere fluid in a hard sphere matrix
The first very accurate analytical results for a hard-sphere (HS) fluid in HS and overlapping HS matrices were obtained quite recently [4,5,6] by extending the scaled particle theory (SPT) to a HS fluid confined in random porous media
Summary
Much theoretical effort has been devoted to the study of fluids in porous materials for the last two decades starting with a pioneering work of Madden and Gland [1]. The first very accurate analytical results for a hard-sphere (HS) fluid in HS and overlapping HS matrices were obtained quite recently [4,5,6] by extending the scaled particle theory (SPT) to a HS fluid confined in random porous media. This approach is based on the combination of the exact treatment of point scaled particle in HS fluid with the thermodynamical consideration of finite size scaled particle [7, 8]. In contrast to three-dimensional case for pure HS fluids, in the two-dimensional case, the integral equation theory does not provide analytical results
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
