Chemical Potential of a Lennard Jones Fluid

The aim of this paper is to present results of analytical calculation of chemical potential of a Lennard Jones (LJ) fluid performed in two ways: by using the thermodynamical formalism and the formalism of statistical mechanics. The integration range is divided into two regions. In the small distance...

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Main Author: Celebonovic, V.
Format: Article
Language:English
Published: Astronomical Observatory, Department of Astronomy, Belgrade 2010-12-01
Series:Serbian Astronomical Journal
Subjects:
Online Access:http://saj.matf.bg.ac.rs/181/pdf/051-055.pdf
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author Celebonovic, V.
author_facet Celebonovic, V.
author_sort Celebonovic, V.
collection DOAJ
description The aim of this paper is to present results of analytical calculation of chemical potential of a Lennard Jones (LJ) fluid performed in two ways: by using the thermodynamical formalism and the formalism of statistical mechanics. The integration range is divided into two regions. In the small distance region, which is $rleqsigma$ in the usual notation, the integration range had to be cut off in order to avoid the occurence of divergences. In the large distance region, the calculation is technically simpler. The calculation reported here will be useful in all kinds of studies concerning phase equilibrium in a LJ fluid. Interesting kinds of such systems are the giant planets and the icy satellites in various planetary systems, but also the (so far) hypothetical quark stars.
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publisher Astronomical Observatory, Department of Astronomy, Belgrade
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spelling doaj.art-6576af72738b4d2c9973f60ed7e6a4552022-12-21T22:39:05ZengAstronomical Observatory, Department of Astronomy, BelgradeSerbian Astronomical Journal1450-698X2010-12-011815155Chemical Potential of a Lennard Jones FluidCelebonovic, V.The aim of this paper is to present results of analytical calculation of chemical potential of a Lennard Jones (LJ) fluid performed in two ways: by using the thermodynamical formalism and the formalism of statistical mechanics. The integration range is divided into two regions. In the small distance region, which is $rleqsigma$ in the usual notation, the integration range had to be cut off in order to avoid the occurence of divergences. In the large distance region, the calculation is technically simpler. The calculation reported here will be useful in all kinds of studies concerning phase equilibrium in a LJ fluid. Interesting kinds of such systems are the giant planets and the icy satellites in various planetary systems, but also the (so far) hypothetical quark stars.http://saj.matf.bg.ac.rs/181/pdf/051-055.pdfEquation of state
spellingShingle Celebonovic, V.
Chemical Potential of a Lennard Jones Fluid
Serbian Astronomical Journal
Equation of state
title Chemical Potential of a Lennard Jones Fluid
title_full Chemical Potential of a Lennard Jones Fluid
title_fullStr Chemical Potential of a Lennard Jones Fluid
title_full_unstemmed Chemical Potential of a Lennard Jones Fluid
title_short Chemical Potential of a Lennard Jones Fluid
title_sort chemical potential of a lennard jones fluid
topic Equation of state
url http://saj.matf.bg.ac.rs/181/pdf/051-055.pdf
work_keys_str_mv AT celebonovicv chemicalpotentialofalennardjonesfluid