Ulrich, Stephan

[["dc.bibliographiccitation.artnumber","115011"],["dc.bibliographiccitation.journal","New Journal of Physics"],["dc.bibliographiccitation.volume","14"],["dc.contributor.author","Benetatos, Panayotis"],["dc.contributor.author","Ulrich, Stephan"],["dc.contributor.author","Zippelius, Annette"],["dc.date.accessioned","2018-11-07T09:03:17Z"],["dc.date.available","2018-11-07T09:03:17Z"],["dc.date.issued","2012"],["dc.description.abstract","Cross-linked polymer networks with orientational order constitute a wide class of soft materials and are relevant to biological systems (e. g., F-actin bundles). We analytically study the nonlinear force-extension relation of an array of parallel-aligned, strongly stretched semiflexible polymers with random cross-links. In the strong stretching limit, the effect of the cross-links is purely entropic, independent of the bending rigidity of the chains. Cross-links enhance the differential stretching stiffness of the bundle. For hard cross-links, the cross-link contribution to the force-extension relation scales inversely proportional to the force. Its dependence on the cross-link density, close to the gelation transition, is the same as that of the shear modulus. The qualitative behaviour is captured by a toy model of two chains with a single cross-link in the middle."],["dc.description.sponsorship","DFG [SFB 937]; EPSRC via the University of Cambridge TCM Programme Grant"],["dc.identifier.doi","10.1088/1367-2630/14/11/115011"],["dc.identifier.fs","591080"],["dc.identifier.isi","000311581600002"],["dc.identifier.purl","https://resolver.sub.uni-goettingen.de/purl?gs-1/10186"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/24877"],["dc.notes.intern","Merged from goescholar"],["dc.notes.status","zu prüfen"],["dc.notes.submitter","Najko"],["dc.publisher","Iop Publishing Ltd"],["dc.relation.issn","1367-2630"],["dc.relation.orgunit","Fakultät für Physik"],["dc.rights","CC BY 3.0"],["dc.title","Force-extension relation of cross-linked anisotropic polymer networks"],["dc.type","journal_article"],["dc.type.internalPublication","yes"],["dc.type.peerReviewed","yes"],["dc.type.status","published"],["dc.type.version","published_version"],["dspace.entity.type","Publication"]]

[["dc.bibliographiccitation.artnumber","021802"],["dc.bibliographiccitation.issue","2"],["dc.bibliographiccitation.journal","Physical Review. E"],["dc.bibliographiccitation.volume","81"],["dc.contributor.author","Ulrich, Stephan"],["dc.contributor.author","Zippelius, Annette"],["dc.contributor.author","Benetatos, Panayotis"],["dc.date.accessioned","2018-11-07T08:46:34Z"],["dc.date.available","2018-11-07T08:46:34Z"],["dc.date.issued","2010"],["dc.description.abstract","We explore the effect of random permanent cross-links on a system of directed polymers confined between two planes with their end points free to slide on them. We treat the cross-links as quenched disorder and we use a semimicroscopic replica field theory to study the structure and elasticity of this system. Upon increasing the cross-link density, we get a continuous gelation transition signaled by the emergence of a finite in-plane localization length. The distribution of localization length turns out to depend on the height along the preferred direction of the directed polymers. The gelation transition also gives rise to a finite in-plane shear modulus which we calculate and turns out to be universal, i.e., independent of the energy and length scales of the polymers and the cross-links. Using a symmetry argument, we show that cross-links of negligible extent along the preferred axis of the directed polymers do not cause any renormalization to the tilt modulus of the uncross-linked system."],["dc.description.sponsorship","DFG [SFB 602]; University of Cambridge TCM Programme"],["dc.identifier.doi","10.1103/PhysRevE.81.021802"],["dc.identifier.isi","000275053700074"],["dc.identifier.pmid","20365585"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/20724"],["dc.notes.status","zu prüfen"],["dc.notes.submitter","Najko"],["dc.publisher","Amer Physical Soc"],["dc.relation.issn","1539-3755"],["dc.title","Random networks of cross-linked directed polymers"],["dc.type","journal_article"],["dc.type.internalPublication","yes"],["dc.type.peerReviewed","yes"],["dc.type.status","published"],["dspace.entity.type","Publication"]]