  We will provide an explicit cdga controlling the rational homotopy type of
the complement to a smooth arrangement $X-\cup_i Z_i$ in a smooth compact
algebraic variety $X$ over $\mathbb{C}$. This generalizes the corresponding
result of Morgan in case of a divisor with normal crossings to arbitrary smooth
arrangements. The model is given in terms of the arrangement $Z_i$ and agrees
with a model introduced by Chen-L\"u-Wu for computing the cohomology. As an
application we reprove a formality theorem due to Feichtner-Yuzvinksy. Then we
show that the Kritz-Totaro model computes the rational homotopy type in case of
chromatic configuration spaces of smooth compact algebraic varieties.
