rowth models and the non-trivial effects of topologically induced uphill currents in DT and WV models, one would wonder how they respond to a barrier of purely kinetic origin. In order to fill this gap, we investigate WV and DT models with the introduction of the kinetic barrier proposed in Ref. [@Leal_JPCM]. We observed mounds in both models in 1+1 and 2+1 dimensions, being much more evident for WV model. The surface coarsening ceases quickly with the saturation of the characteristic surface length and regimes of uncorrelated mound growth are asymptotically observed. Analysis of the out-of-plane currents shows a large reduction of the downhill flux of particles, enhancing surface instabilities and mound formation.

The remaining of the paper is organized as follows. The model implementation details are presented in section \[sec:model\]. In section \[results\], we discuss the results obtained in the simulations. Our conclusions and some perspectives are drawn in the section \[conclusion\].

Models {#sec:model}
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In all investigated models, the particles are randomly deposited on a $d$-dimensional lattice of linear size $L$ with periodic boundary conditions under the SOS condition. Results presented in this work correspond to regular chains in $d=1$ and square lattices in $d=2$. Other lattices were tested and the central conclusions remain unaltered. The height of the interface at site $i$ and time $t$ is represented by $h_i(t)$ and the initial condition is given by $h_i(0)=0$ such that the initial interface is flat.

In the WV model with a kinetic barrier [investigated in the present work]{}, the growth rule is implemented as follows. At each time step, a position $i$ is randomly chosen. A location $i'$ with the largest number of bonds that a new deposited adatom would have is determined within a set containing $i$ and its nearest-neighbors. If the initial position corresponds to the largest number of bonds ($i'\equiv i$), it is chosen as the deposition place and the simulation runs to the next step. In