# softmatter:Dzugutov Potential

The Dzugutov potential is typically implemented to model metallic glass-formers. It is also used to model a dodecagonal quasicrystal, which the Dzugutov system forms from the melt under certain conditions. The functional form of the potential is

$U(r) =A\left(r^{-m}-B\right)exp\left(\frac{c}{r-a}\right)\theta\left(a-r\right)+Bexp\left(\frac{d}{r-b}\right)\theta\left(b-r\right)$

Here $\theta\left(x\right)$ is the Heaviside function defined as

$\theta\left(x\right)=\begin{cases} 1 & x \geq 0 \\ 0 & otherwise \end{cases}$

Typically, the set of parameters A=5.82, B=1.280, a=1.87, b=1.94, c=1.10, d=0.27, and m=16 are used.