corus: For dry, unlubricated surfaces, the following applies. For low surface pressure, the coefficient of friction (COF) is approximately independent of contact area, over wide limits, regardless of whether the contact pressure is uniform or nonuniform. There is always elastic and plastic deformation of asperities (peaks), at least to some extent; but at low surface pressure, friction is mainly a shearing of the surface film. For very high surface pressure, the surface oxide apparently becomes ineffective, or is pushed aside, and the parent materials begin to cold weld (gall), such that the COF quickly increases. If this continues, the surfaces seize.
Surface roughness surprisingly has relatively little effect on COF (provided the surfaces are not so extremely rough that you enter the realm of what could be termed visible mechanical interlocking, instead of friction). COF is highly sensitive to what the parent materials are made of (intermolecular electromagnetic attraction), and highly sensitive to surface films and oxides.