Topological DLVO Interaction of a Spiky Particle with a Wall

We report a model to quantify the effects of position and orientation on the Derjaguin-Landau-Verwey-Overbeek (DLVO) interactions between a spiky particle and a planar wall. We model DLVO interaction energy, force, and torque as a function of spike distribution, aspect ratio, particle-wall separation distance, and particle orientation. The results show a topological correlation between the energy tiling and the tessellated orientational space. Furthermore, the particles with small spikes show a divergence in the adhesion energy and force from that at the tessellated boundaries in the orientational space. However, the maximum energy, force, and torque are at orientations corresponding to the tessellated orientational space in large spiked particles. Additionally, our results show that spiky particles have a significant adhesion torque over a planar wall compared to smooth spheres or ellipsoids, notably enhancing their interactions with a planar wall.