Predefined interaction potentials

Table 21: Predefined time-independent and time-dependent interaction potentials.

Which_Interaction and Interaction_Type	Description	Potential
'gauss' and $1,2,3,4$	Gaussian interparticle interaction of width Interaction_Width$=\sigma$	$W(\vec{r},\vec{r}')= \lambda_0 \frac{1}{(\sqrt{2\pi \sigma^2})^D} exp\left(- \frac{\vert \vec{r}-\vec{r} \vert^2}{2 \sigma^2} \right)$
0	Contact interaction with constant strength $\lambda_0$	$W(\vec{r},\vec{r}')= \lambda_0 \delta(\vec{r}-\vec{r}')$
'cos' and $6$	Contact interaction with time-dependent strength $\lambda(t)$	$W(\vec{r},\vec{r}')= \lambda_0 \cos (I_1 t) \delta(\vec{r}-\vec{r}')$
'sin' and $6$	Contact interaction with time-dependent strength $\lambda(t)$	$W(\vec{r},\vec{r}')= \lambda_0 \sin (I_1 t) \delta(\vec{r}-\vec{r}')$
'TDHIM' and $5$	Time-dependent version of the harmonic interaction model	$W(\vec{r},\vec{r}')= \lambda_0 (1+0.4 \sin^2(t)) (\vec{r}-\vec{r}')^2$
'TDgauss1' and $5$	Gaussian interaction with width Interaction_Width$=\sigma$ and time-dependent amplitude	$W(\vec{r},\vec{r}')= (\lambda_0 + I_1 \sin(I_2 t) ) \frac{1}{(\sqrt{2\pi \sigma^2})^D} exp\left(- \frac{\vert \vec{r}-\vec{r} \vert^2}{2 \sigma^2} \right)$
'TDgauss2' and $5$	Gaussian interaction with width Interaction_Width$=\sigma$ at $t=0$ that is time-dependently modulated	$W(\vec{r},\vec{r}')= \lambda_0 \frac{1}{(\sqrt{2\pi (\sigma^2+ I_1 \sin(I_2 t))})^D}$ $exp\left(- \frac{\vert \vec{r}-\vec{r} \vert^2}{2 (\sigma^2}+ I_1 \sin(I_2 t)) \right)$
'lennart_j' and $4$	$I_2$- Screened Lennart-Jones potential	$W(\vec{r},\vec{r}') = I_1 \left( \frac{\sigma}{\vert \vec{r}-\vec{r} \vert^12} - \frac{\sigma}{\vert \vec{r}-\vec{r} \vert^6} \right)$ for $\vert \vec{r}-\vec{r} \vert>I_2$ and $W(\vec{r},\vec{r}') = I_1 \left( \frac{\sigma}{I_2^12} - \frac{\sigma}{I_2^6} \right)$ for $\vert \vec{r}-\vec{r} \vert\leq I_2$
'HIM' and $4$	Harmonic interaction model	$W(\vec{r},\vec{r}')= \lambda_0 (\vec{r}-\vec{r}')^2$

$I_X$ stands for Interaction_ParameterX from the input, $\sigma$ for Interaction_Width, and $D$ for the dimensionality of the problem.