A self-cleaning surface which has an artificial, at least partially hydrophobic, surface structure containing elevations and depressions, which comprises a surface having structure-forming particles, which are formed of hydrophobic, fumed silica, adhered thereto by way of fixative particles applied to the surface, whereby the structure-forming particles and the fixative particles have elevations and depressions ranging in dimensions of 1 to 1000 nm and the particles themselves having an average size of less than 50 μm, the particles providing said surface structure of elevations and depressions, wherein, by incipient melting of the fixative particles, only partial melting of the fixative particles occurs which is sufficient to bond the structure forming particles without substantial wetting of the particles by the fixative particles to said surface while retaining, the fissured structure of the structure-forming particles in the nanometer range.