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The Density of States Functional Fit Approach (DoS FFA) is a recentlyproposed modern density of states technique suitable for calculations inlattice field theories with a complex action problem. In this article wepresent an exploratory implementation of DoS FFA for the SU(3) spin system atfinite chemical potential $\mu$ - an effective theory for the Polyakov loop.This model has a complex action problem similar to the one of QCD but alsoallows for a dual simulation in terms of worldlines where the complex actionproblem is solved. Thus we can compare the DoS FFA results to the referencedata from the dual simulation and assess the performance of the new approach.We find that the method reproduces the observables from the dual simulation fora large range of $\mu$ values, including also phase transitions, illustratingthat DoS FFA is an interesting approach for exploring phase diagrams of latticefield theories with a complex action problem.

Developing and testing the density of states FFA method in the SU(3) spin model