Abstract
Thermodynamic functions of a single ring polymer with modified Lennard Jones potential for the binary intersegmental interactions are studied. The integral equation of the binary intersegmental correlation function g (R) is solved by a perturbation technique analogous to that of Kirkwood, Lewinson, and Alder for the case of fluids. The hard sphere model is taken as the reference solution which is expressed in terms of a parameter related to mean segment density. The binary intersegmental correlation function g (R) is computed by an iterative procedure over a wide range of density and temperatures and is used to construct the isotherms of the system. The collapse transition known from Monte Carlo computations and light scattering experiments is qualitatively reproduced.
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