Condensation Problem of the Gibbs Single-Phase Statistics on the Lennard-Jones Fluid Example

Authors M.V. Ushcats

National University of Shipbuilding, 9, Geroyev Stalingrada avenue, 54025 Mykolayiv, Ukraine

Issue Volume 5, Year 2013, Number 3
Dates Received 08 February 2013; revised manuscript received 10 October 2013; published online 17 October 2013
Citation M.V. Ushcats, J. Nano- Electron. Phys. 5 No 3, 03037 (2013)
PACS Number(s) 05.20. – y, 05.70.Fh, 64.70.F –, 64.60. – i
Keywords Configuration integral, Cluster expansion, Virial equation of state, Irreducible integral, Virial coefficient.
Annotation The accurate expression for the cluster expansion of the configuration integral of interacting particles is considered in the paper. The investigations of this expression indicate the beginning of the gas-liquid transition at the singularity points of the isothermal compressibility. It has also been shown that the adequacy boundaries of the virial equation of state correspond to these points, but not the singularity points of virial series. The inappropriate behavior of the cluster expansion has been discovered at the high density regimes, which correspond to the liquid and solid states that may be related to the infinite limits of the cluster integrals, i.e. their independency on density.

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