Square well model: Difference between revisions

From SklogWiki
Jump to navigation Jump to search
m (Added an early paper.)
m (Added mention of the sticky hard sphere model)
Line 10: Line 10:


where <math>\Phi_{12}(r)</math> is the [[intermolecular pair potential]], <math>\epsilon</math> is the well depth, <math>r</math> is the distance between site 1 and site 2  <math>r := |\mathbf{r}_1 - \mathbf{r}_2|</math>, &sigma; is the hard diameter
where <math>\Phi_{12}(r)</math> is the [[intermolecular pair potential]], <math>\epsilon</math> is the well depth, <math>r</math> is the distance between site 1 and site 2  <math>r := |\mathbf{r}_1 - \mathbf{r}_2|</math>, &sigma; is the hard diameter
and &lambda; &gt; 1.
and &lambda; &gt; 1. For an infinitesimally narrow well one has the [[sticky hard sphere model]] proposed by Baxter.
==Equation of state==
==Equation of state==
:''Main article: [[Equations of state for the square well model]]''
:''Main article: [[Equations of state for the square well model]]''

Revision as of 09:56, 25 March 2011

The square well model is given by [1]

Φ12(r)={∞;r<σ−ϵ;σ≤r<λσ0;r≥λσ

where Φ12(r) is the intermolecular pair potential, ϵ is the well depth, r is the distance between site 1 and site 2 r:=|r1−r2|, σ is the hard diameter and λ > 1. For an infinitesimally narrow well one has the sticky hard sphere model proposed by Baxter.

Equation of state

Main article: Equations of state for the square well model

Virial coefficients

Main article: Square well potential: virial coefficients

Liquid-vapour coexistence

Critical point

Direct correlation function

For the direct correlation function see:

References

  1. ↑ A. Rotenberg "Monte Carlo Equation of State for Hard Spheres in an Attractive Square Well", Journal of Chemical Physics 43 pp. 1198-1201 (1965)

Related reading

Retrieved from "http://www.sklogwiki.org/SklogWiki/index.php?title=Square_well_model&oldid=11298"