A numerical test of a high-penetrability approximation for the one-dimensional penetrable-square-well model

The Journal of Chemical Physics
Riccardo FantoniAndrés Santos

Abstract

The one-dimensional penetrable-square-well fluid is studied using both analytical tools and specialized Monte Carlo simulations. The model consists of a penetrable core characterized by a finite repulsive energy combined with a short-range attractive well. This is a many-body one-dimensional problem, lacking an exact analytical solution, for which the usual van Hove theorem on the absence of phase transition does not apply. We determine a high-penetrability approximation complementing a similar low-penetrability approximation presented in previous work. This is shown to be equivalent to the usual Debye-Hückel theory for simple charged fluids for which the virial and energy routes are identical. The internal thermodynamic consistency with the compressibility route and the validity of the approximation in describing the radial distribution function is assessed by a comparison against numerical simulations. The Fisher-Widom line separating the oscillatory and monotonic large-distance behaviors of the radial distribution function is computed within the high-penetrability approximation and compared with the opposite regime, thus providing a strong indication of the location of the line in all possible regimes. The high-penetrability...Continue Reading

References

Apr 1, 1995·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·C VegaS Lago
Apr 20, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·C N LikosH Löwen
Jun 22, 2007·The Journal of Chemical Physics·Christos N LikosGerhard Kahl
Oct 13, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Alexandr MalijevskýAndrés Santos
Jul 23, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Andrés SantosAchille Giacometti
Oct 2, 2009·The Journal of Chemical Physics·Riccardo FantoniAndrés Santos
Nov 18, 2009·The Journal of Chemical Physics·Andrés SantosAchille Giacometti

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Citations

Jun 19, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Riccardo Fantoni, Giorgio Pastore
Jan 15, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Soong-Hyuck SuhAndrés Santos
Aug 6, 2019··Andrés SantosJosé Luis Sánchez-Tena

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