Editing Fermi-Jagla model
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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>): | 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} | :<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 | There is a relation between Fermi function and hyperbolic tangent: | ||
:<math>\frac{1}{e^x+1}=\frac{1}{2}-\frac{1}{2}\tanh \frac{x}{2}</math> | :<math>\frac{1}{e^x+1}=\frac{1}{2}-\frac{1}{2}\tanh \frac{x}{2}</math> | ||
Using this relation one can | Using this relation one can connect the Fermi-Jagla model with the [[Fomin potential]]. | ||
==References== | ==References== | ||
<references/> | <references/> | ||
;Related reading | ;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)] | *[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)] | ||
[[category: models]] | [[category: models]] |