Fermi-Jagla model

The Fermi-Jagla model is a smooth variant of the Jagla model. It is given by (Eq. 1 in ):

${\mathrm{\Phi }}_{12}(r)={ϵ}_0[{(\frac{a}{r})}^n+\frac{A_0}{1+\exp [\frac{A_1}{A_0}\frac{r}{a-A_2}]}-\frac{B_0}{1+\exp [\frac{B_1}{B_0}\frac{r}{a-B_2}]}]$

There is a relation between the Fermi function and hyperbolic tangent:

$\frac{1}{e^x+1}=\frac{1}{2}-\frac{1}{2}\tanh \frac{x}{2}$

Using this relation one can show that Fermi-Jagla model is equivalent to the generalised Fomin potential (which has scientific priority).

References

Related reading

• Shaina Reisman and Nicolas Giovambattista "Glass and liquid phase diagram of a polyamorphic monatomic system", Journal of Chemical Physics 138 064509 (2013)