Collisions between galaxy clusters are a frequent scenario in the hierarchical model of structures. Dissociative collisions provide an extreme environment of interaction between clusters of galaxies, where the properties of dark matter (DM) in relation to baryonic matter become evident. Investigating dissociative scenarios allows a deeper understanding of the behavior and dynamics of baryonic and non-baryonic matter in this context of collision. Abell 2034 (z = 0.114) is a bimodal system composed of a north and a south substructure, it has dissociative features observed in X-rays and gravitational lensing. Using N -body hydrodynamic simulations, we present a theoretical study based on the dissociative collision of A2034, aiming to explore the effect that different relative concentrations between the clusters generate on the dynamics of the system. We investigated the relationship of the central density ratios with different levels of dissociation, where we analyzed nine models with different concentrations of the two components: intracluster gas and DM halo for each substructure. We found different degrees of dissociation that were quantified by the relative distance between the X-ray emission peak and the dark matter peaks. We found that the ratio of the gas central densities is more decisive than the ratio of dark matter central densities, in determining the level of dissociation for the parameters of this collision.