Rational-function approximation for fluids interacting via piece-wise constant potentials

Details Rational-function approximation for fluids interacting via piece-wise constant potentials Rational-function approximation for fluids interacting via piece-wise constant potentials

2012-01-13

arxiv.org/abs/1201.2771v1

Physics

Condensed Matter

Soft Condensed Matter

13 pages, 2 figures; submitted to a special issue of Condensed Matter Physics in occasion of the 60th birthday of Prof. Orest

Scientific paper

The structural properties of fluids whose molecules interact via potentials with a hard-core plus $n$ piece-wise constant sections of different widths and heights are derived by using a (semi-analytical) rational-function approximation method. The results are illustrated for the cases of a square-shoulder plus square-well potential and a shifted square-well and compared both with simulation data and with those that follow from the (numerical) solutions of the Percus-Yevick integral equation.

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