and $30^\circ$ (blue crosses) are shown alongside the quasi aperiodic $10^\circ$ path (green squares) which serves as a prototype for all other quasi aperiodic paths. The dashed black lines are linear fits.[]{data-label="fig:4"}](Fig4.pdf){width="1.0\linewidth"}

The form of the exponent in equation (\[eq:exp\]) incorporates the coefficient of friction (COF) $\mu$. Expanding equation (\[eq:exp\]) in a Taylor series around $L=0$ we retrieve a kinetic friction law of Derjaguin-form [@derjaguin:34b; @vernes:12]: linear in load $L$ plus the Derjaguin-offset $F_0$, $$\label{eq:taylor}
F(L)=F_0 + \mu L + \mathcal{O} \left( L^2 \right) \quad .$$ This behavior is well known in lubricated systems where the offset $F_0$ is attributed to adhesion resulting from the lubricant, see e.g. Refs. . In our dry system the strength of the adhesion, which for frictional purposes acts like an internal load $L_0$, can be estimated by simply lowering one slab down onto the other and registering the forces on the surface atoms. The resulting internal load $L_0$ is the maximum in this force curves depending on the lateral positions of the slabs. It ranges between $\unit[0.8]{nN}$ and $\unit[1]{nN}$ which is of the same order of magnitude as the maximum applied external loads. Of course the approximation of the exponential law with this linear 