SALR potential: Difference between revisions

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This potential also goes by the names of the ''hard-sphere plus two Yukawa'' (H2Y) or ''hard-core double-Yukawa'' (HCDY) potential
This potential also goes by the names of the ''hard-sphere plus two Yukawa'' (H2Y) or ''hard-core double-Yukawa'' (HCDY) potential
<ref>[http://dx.doi.org/10.1063/1.1518687  Yang-Zheng Lin, Yi-Gui Li, Jiu-Fang Lu and Wei Wu "Monte Carlo simulation for the hard-core two-Yukawa fluids and test of the two-Yukawa equation of state", Journal of Chemical Physics '''117''' 10165 (2002)]</ref><ref>[http://dx.doi.org/10.1063/1.3308648 Lloyd L. Lee, Michael C. Hara, Steven J. Simon, Franklin S. Ramos, Andrew J. Winkle, and Jean-Marc Bomont "Crystallization limits of the two-term Yukawa potentials based on the entropy criterion", Journal of Chemical Physics '''132''' 074505 (2010)]</ref><ref>[http://dx.doi.org/10.1063/1.4942199  J. Montes, M. Robles and M. López de Haro "Equation of state and critical point behavior of hard-core double-Yukawa fluids", Journal of Chemical Physics '''144''' 084503 (2016)]</ref>.
<ref>[http://dx.doi.org/10.1063/1.1518687  Yang-Zheng Lin, Yi-Gui Li, Jiu-Fang Lu and Wei Wu "Monte Carlo simulation for the hard-core two-Yukawa fluids and test of the two-Yukawa equation of state", Journal of Chemical Physics '''117''' 10165 (2002)]</ref><ref>[http://dx.doi.org/10.1063/1.3308648 Lloyd L. Lee, Michael C. Hara, Steven J. Simon, Franklin S. Ramos, Andrew J. Winkle, and Jean-Marc Bomont "Crystallization limits of the two-term Yukawa potentials based on the entropy criterion", Journal of Chemical Physics '''132''' 074505 (2010)]</ref><ref>[http://dx.doi.org/10.1063/1.4942199  J. Montes, M. Robles and M. López de Haro "Equation of state and critical point behavior of hard-core double-Yukawa fluids", Journal of Chemical Physics '''144''' 084503 (2016)]</ref>.
==LJ+Y==
Another SALR model consists of a generalised [[Lennard-Jones model]] in conjunction with a long-range repulsive Yukawa term
<ref>[http://dx.doi.org/10.1103/PhysRevLett.93.055701 Francesco Sciortino, Stefano Mossa, Emanuela Zaccarelli, and Piero Tartaglia "Equilibrium Cluster Phases and Low-Density Arrested Disordered States: The Role of Short-Range Attraction and Long-Range Repulsion", Physical Review Letters '''93''' 055701 (2004)]</ref>
<ref>[http://dx.doi.org/10.1039/C3SM53058B Ethayaraja Mani, Wolfgang Lechner,  Willem K. Kegel  and Peter G. Bolhuis "Equilibrium and non-equilibrium cluster phases in colloids with competing interactions", '''10''' pp. 4479-4486 (2014)]</ref>
<ref>[http://dx.doi.org/10.1021/ct501067t Štěpán Růžička and Michael P. Allen "Monodisperse Clusters in Charged Attractive Colloids: Linear Renormalization of Repulsion", Journal of Chemical Theory and Computation '''11''' pp. 3811-3817 (2015)]</ref>
:<math> \Phi_{12}(r) = 4 \epsilon \left[ \left(\frac{\sigma}{r} \right)^{2a}-  \left( \frac{\sigma}{r}\right)^a \right] + A \frac{e^{-r/\xi}}{r/\xi}</math>


==References==
==References==

Revision as of 13:37, 15 March 2018

The SALR ( short-range attractive - long-range repulsive) potential. This potential has a variety of functional forms.

HCDY

Plot of a region of the HCDY potential for the parameters , , , , as used in the work of Sweatman et. al. [1]

The SALR potential is often expressed as a hard core of diameter , along with combination of two Yukawa potentials:


where is the intermolecular pair potential, is the distance between site 1 and site 2. The control is the energy of the repulsive and attractive parts, whilst the controls the interaction range.

This potential also goes by the names of the hard-sphere plus two Yukawa (H2Y) or hard-core double-Yukawa (HCDY) potential [2][3][4].

LJ+Y

Another SALR model consists of a generalised Lennard-Jones model in conjunction with a long-range repulsive Yukawa term [5] [6] [7]

References

Related reading