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

Abstract

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 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 potential and compared both with simulation data and with those that follow from the (numerical) solutions of the Percus-Yevick integral equation.

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

References in corpus (7)

• Water-like hierarchy of anomalies in a continuous spherical shouldered potential
• Complex Phase Behavior of The System of Particles with Smooth Potential with Repulsive Shoulder and Attractive Well
• How `sticky' are short-range square-well fluids?
• Structure of the square-shoulder fluid
• Percus-Yevick theory for the structural properties of the seven-dimensional hard-sphere fluid
• Multicomponent fluids of hard hyperspheres in odd dimensions
• Exact solution of the Percus-Yevick integral equation for fluid mixtures of hard hyperspheres

Cited by in corpus (7)

• Structural and Thermodynamic Properties of Hard-Sphere Fluids
• Structural properties of the Jagla fluid
• Structural properties of fluids interacting via piece-wise constant potentials with a hard core
• One-dimensional fluids with second nearest-neighbor interactions
• On a conjecture concerning the Fisher--Widom line and the line of vanishing excess isothermal compressibility in simple fluids
• Structural and thermodynamic properties of fluids whose molecules interact via one-, two-, and three-step potentials
• Discontinuous Structural Transitions in Fluids with Competing Interactions