# Hard core Yukawa potential

The **hard core Yukawa** potential ^{[1]}
has two forms, the attractive Yukawa potential:

and the repulsive form

where is the intermolecular pair potential, is the distance between site 1 and site 2, is the hard diameter, is the energy well depth (), and is a parameter that controls the interaction range ().

The repulsive form has been used to study charge-stabilised colloid-colloid interactions.

## Contents

## Critical point[edit]

For the attractive form of the potential, from a study of the law of corresponding states, one has (Eq. 3 in ^{[2]})

and (Eq. 4)

The repulsive form of the potential has no critical point.

## Triple points[edit]

The triple points for this model have been studied by Azhar and co-workers
^{[3]}.

## Virial coefficients[edit]

For the attractive form of the potential the virial coefficients have been calculated by Naresh and Singh ^{[4]}.

## Liquid-vapour coexistence[edit]

^{[5]}

## Surface tension[edit]

Surface tension ^{[6]}.

## Radial distribution function[edit]

Radial distribution function^{[7]}

## Phase diagram[edit]

Phase diagram
^{[8]}
^{[9]}
^{[10]}
^{[11]}

## Density-functional theory[edit]

Density-functional theory ^{[12]}.

## See also[edit]

## References[edit]

- ↑ J. S. Rowlinson "The Yukawa potential", Physica A: Statistical Mechanics and its Applications
**156**pp. 15-34 (1989) - ↑ Pedro Orea and Yurko Duda "On the corresponding states law of the Yukawa fluid", Journal of Chemical Physics
**128**134508 (2008) - ↑ Fouad El Azhar, Marc Baus, Jean-Paul Ryckaert and Evert Jan Meijer "Line of triple points for the hard-core Yukawa model: A computer simulation study", Journal of Chemical Physics
**112**pp. 5121- (2000) - ↑ D.J. Naresh and Jayant K. Singh "Virial coefficients of hard-core attractive Yukawa fluids", Fluid Phase Equilibria
**285**pp. 36-43 (2009) - ↑ E. B. El Mendoub, J.-F. Wax, and N. Jakse "Evolution of the liquid-vapor coexistence of the hard-core Yukawa fluid as a function of the interaction range", Journal of Chemical Physics
**132**164503 (2010) - ↑ G. Odriozola, M. Bárcenas, and P. Orea "Vapor–liquid surface tension of strong short-range Yukawa fluid", Journal of Chemical Physics
**134**154702 (2011) - ↑ Douglas Henderson and Dezső Boda "Mean spherical approximation for the Yukawa fluid radial distribution function", Molecular Physics
**109**pp. 1009-1013 (2011) - ↑ Enrique Lomba and Noé G. Almarza "Role of the interaction range in the shaping of phase diagrams in simple fluids. The hard sphere Yukawa fluid as a case study", Journal of Chemical Physics
**100**pp. 8367-8372 (1994) - ↑ M. H. J. Hagen and D. Frenkel "Determination of phase diagrams for the hard-core attractive Yukawa system", Journal of Chemical Physics
**101**pp. 4093-4097 (1994) - ↑ Yurko Duda, Ascención Romero-Martínez, and Pedro Orea "Phase diagram and surface tension of the hard-core attractive Yukawa model of variable range: Monte Carlo simulations", Journal of Chemical Physics
**126**224510 (2007) - ↑ Pedro Orea and Yurko Duda "On the corresponding states law of the Yukawa fluid", Journal of Chemical Physics
**128**134508 (2008) - ↑ Marius M. Hatlo, Priyanka Banerjee, Jan Forsman, and Leo Lue "Density functional theory for Yukawa fluids", Journal of Chemical Physics
**137**064115 (2012)

**Related reading**

- J. Torres-Arenas, L. A. Cervantes, A. L. Benavides, G. A. Chapela, and F. del Río "Discrete perturbation theory for the hard-core attractive and repulsive Yukawa potentials", Journal of Chemical Physics
**132**034501 (2010) - Pedro Orea, Carlos Tapia-Medina, Davide Pini, and Albert Reiner "Thermodynamic properties of short-range attractive Yukawa fluid: Simulation and theory", Journal of Chemical Physics
**132**114108 (2010) - Eun-Young Kim, Soon-Chul Kim, and Baek-Seok Seong "Structure and thermodynamics of hard-core Yukawa fluids: Thermodynamic perturbation approaches", Journal of Chemical Physics
**135**034505 (2011)