The purpose of this errata note is to reinterpret the effect of asperity interaction and to correct the related formulations given in Eqs. (5)–(7) of the original paper. For a rough surface in contact, deformation of a contacting asperity will also shift its neighboring asperities down through substrate deformation (interaction deformation). Specifically, given a single contacting asperity, the total interaction deformation Ωa caused by this asperity depends on the distance to its nth neighbor, rn, and the total number of nth neighbors, $kn=ηπ(rn2−rn−12)$:
$Ωa=∑i=1nωiki=η{πr12f(z,r1)+π(r22−r12)f(z,r2)+...$