000201794 001__ 201794 000201794 005__ 20210129215917.0 000201794 0247_ $$2doi$$a10.1063/1.4895789 000201794 0247_ $$2ISSN$$a0021-9606 000201794 0247_ $$2ISSN$$a1089-7690 000201794 0247_ $$2WOS$$aWOS:000342844100055 000201794 0247_ $$2Handle$$a2128/18990 000201794 0247_ $$2altmetric$$aaltmetric:2349487 000201794 0247_ $$2pmid$$apmid:25273455 000201794 037__ $$aFZJ-2015-04088 000201794 082__ $$a540 000201794 1001_ $$0P:(DE-Juel1)130885$$aPersson, Bo$$b0$$eCorresponding Author$$ufzj 000201794 245__ $$aTheory of adhesion: Role of surface roughness 000201794 260__ $$aMelville, NY$$bAmerican Institute of Physics$$c2014 000201794 3367_ $$2DRIVER$$aarticle 000201794 3367_ $$2DataCite$$aOutput Types/Journal article 000201794 3367_ $$0PUB:(DE-HGF)16$$2PUB:(DE-HGF)$$aJournal Article$$bjournal$$mjournal$$s1435565822_10713 000201794 3367_ $$2BibTeX$$aARTICLE 000201794 3367_ $$2ORCID$$aJOURNAL_ARTICLE 000201794 3367_ $$00$$2EndNote$$aJournal Article 000201794 520__ $$aWe discuss how surface roughness influences the adhesion between elastic solids. We introduce a Tabor number which depends on the length scale or magnification, and which gives information about the nature of the adhesion at different length scales. We consider two limiting cases relevant for (a) elastically hard solids with weak (or long ranged) adhesive interaction (DMT-limit) and (b) elastically soft solids with strong (or short ranged) adhesive interaction (JKR-limit). For the former cases we study the nature of the adhesion using different adhesive force laws (F ∼ u −n , n = 1.5–4, where u is the wall-wall separation). In general, adhesion may switch from DMT-like at short length scales to JKR-like at large (macroscopic) length scale. 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