Fermi-Jagla model
The Fermi-Jagla model is a smooth variant of the Jagla model. It is given by (Eq. 1 in [1]):
- Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle \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]}
There is a relation between Fermi function and hyperbolic tangent:
- Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \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 Fomin potential introduced earlier.
References
- Related reading