Ring approximation at equilibrium: The hard sphere pair correlation function

Jarosław Piasecki and Rodrigo Soto

Physica A: Statistical Mechanics and its Applications, 2007, vol. 379, issue 2, 409-416

Abstract: The ring approximation has been used in the kinetic theory of hard sphere fluids to investigate non-equilibrium phenomena depending on dynamic correlations, not included in the Boltzmann or Enskog equations. We show that when applied to equilibrium the ring approximation reproduces correctly the main qualitative features of the pair correlation function. We find a maximum at contact followed by exponentially damped oscillations. The equation of state comes out exactly up to the third virial coefficient whereas the detailed structure of pair correlations is quantitatively correct at low volume fraction not exceeding 0.1.

Keywords: Pair correlation function; Kinetic theory (search for similar items in EconPapers)
Date: 2007
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437107001185
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:379:y:2007:i:2:p:409-416

DOI: 10.1016/j.physa.2007.02.001

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().