000861548 001__ 861548 000861548 005__ 20210130000845.0 000861548 0247_ $$2doi$$a10.1103/PhysRevLett.122.088001 000861548 0247_ $$2ISSN$$a0031-9007 000861548 0247_ $$2ISSN$$a1079-7114 000861548 0247_ $$2ISSN$$a1092-0145 000861548 0247_ $$2Handle$$a2128/21884 000861548 0247_ $$2pmid$$apmid:30932610 000861548 0247_ $$2WOS$$aWOS:000459919700011 000861548 0247_ $$2altmetric$$aaltmetric:57580171 000861548 037__ $$aFZJ-2019-01999 000861548 082__ $$a530 000861548 1001_ $$0P:(DE-HGF)0$$aGold, Barbara$$b0$$eCorresponding author 000861548 245__ $$aDirect Assessment of Tube Dilation in Entangled Polymers 000861548 260__ $$aCollege Park, Md.$$bAPS$$c2019 000861548 3367_ $$2DRIVER$$aarticle 000861548 3367_ $$2DataCite$$aOutput Types/Journal article 000861548 3367_ $$0PUB:(DE-HGF)16$$2PUB:(DE-HGF)$$aJournal Article$$bjournal$$mjournal$$s1553181490_28400 000861548 3367_ $$2BibTeX$$aARTICLE 000861548 3367_ $$2ORCID$$aJOURNAL_ARTICLE 000861548 3367_ $$00$$2EndNote$$aJournal Article 000861548 520__ $$aA key ingredient within theories focusing on the rheology of entangled polymers is the way how the topological constraints of an entangled chain are lifted by unconstrained segments, i.e., how the constraining tube is dilated. This important question has been addressed by directly measuring the tube diameter d at the scale of the tube by neutron spin echo spectroscopy. The tube diameter d and plateau modulus G0N of highly entangled polyethylene oxide (PEO) chains of volume fraction c that are diluted by low molecular PEO show a concentration dependence d∝ca/2 and G0N∝c1+a with an exponent a close to 4/3. 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