A Born–Green–Yvon equation for flexible chain-molecule fluids. I. General formalism and numerical results for short hard-sphere chains

Taylor, Mark P.; Lipson, J. E. G.
February 1995
Journal of Chemical Physics;2/1/1995, Vol. 102 Issue 5, p2118
Academic Journal
The Born–Green–Yvon approach is used to construct an integral equation for the site–site distribution functions describing the microscopic equilibrium structure of a fluid of flexible chain molecules. The multisite distribution functions appearing in this formally exact equation are related to the site–site functions via a set of site–site superposition approximations. Intramolecular distribution functions are approximated using exact results for an isolated chain molecule. Numerical results are presented for fluids of tangent hard-sphere 3-mers and 4-mers. These results, which include the site–site distribution functions over a range of densities, second virial coefficients, and the virial pressure equations of state, compare well with Monte Carlo data. In particular, the contact value of the average site–site distribution function is given quite accurately. © 1995 American Institute of Physics.


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