Fermi-Jagla model

2017-10-05T08:48:45Z

80.250.179.2:

The '''Fermi-Jagla model''' is a smooth variant of the [[Ramp model | Jagla model]]. It is given by (Eq. 1 in <ref>[http://dx.doi.org/10.1021/jp205098a Joel Y. Abraham, Sergey V. Buldyrev, and Nicolas Giovambattista "Liquid and Glass Polymorphism in a Monatomic System with Isotropic, Smooth Pair Interactions", Journal of Physical Chemistry B '''115''' pp. 14229-14239 (2011)]</ref>):

:<math>\Phi_{12}(r) = \epsilon_0 \left[ \left( \frac{a}{r} \right)^n + \frac{A_0}{1+\exp \left[ \frac{A_1}{A_0} (\frac{r}{a}-A_2) \right]} - \frac{B_0}{1+\exp \left[ \frac{B_1}{B_0} (\frac{r}{a}-B_2) \right]} \right]</math>

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

:<math>\frac{1}{e^x+1}=\frac{1}{2}-\frac{1}{2}\tanh \frac{x}{2}</math>

Using this relation one can show that Fermi-Jagla model is equivalent to the generalised [[Fomin potential]] (which has scientific priority).
==References==
<references/>
;Related reading
*[http://dx.doi.org/10.1063/1.4790404 Shaina Reisman and Nicolas Giovambattista "Glass and liquid phase diagram of a polyamorphic monatomic system", Journal of Chemical Physics '''138''' 064509 (2013)]

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Fermi-Jagla model