Penetrable-Square-Well fluids: Analytical study and Monte Carlo simulations

Abstract

We study structural and thermophysical properties of a one-dimensional classical fluid made of penetrable spheres interacting via an attractive square-well potential. Penetrability of the spheres is enforced by reducing from infinite to finite the repulsive energy barrier in the pair potentials As a consequence, an exact analytical solution is lacking even in one dimension. Building upon previous exact analytical work in the low-density limit [Santos \textit{et al.}, Phys. Rev. E \text{77}, 051206 (2008)], we propose an approximate theory valid at any density and in the low-penetrable regime. By comparison with specialized Monte Carlo simulations and integral equation theories, we assess the regime of validity of the theory. We investigate the degree of inconsistency among the various routes to thermodynamics and explore the possibility of a fluid-fluid transition. Finally we locate the dependence of the Fisher-Widom line on the degree of penetrability. Our results constitute the first systematic study of penetrable spheres with attractions as a prototype model for soft systems.

26 pages and 9 figures

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• Thermodynamic consistency of energy and virial routes: An exact proof within the linearized Debye-Hückel theory
• One-dimensional fluids with second nearest-neighbor interactions
• The penetrable square-well model: extensive versus non-extensive phase
• Molecular dynamics simulation study of self-diffusion for penetrable-sphere model fluids
• Non existence of a phase transition for the Penetrable Square Wells in one dimension
• From the Liouville to the Smoluchowski equation for a colloidal solute particle in a solvent
• Kinetic Theory of Soft Matter. The Penetrable-Square-Well Model