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dc.contributor.authorYong, Ee Houen_US
dc.contributor.authorDary, Farisanen_US
dc.contributor.authorGiom, Lucaen_US
dc.contributor.authorMahadevan, L.en_US
dc.identifier.citationYong, E. H., Dary, F., Giom, L. & Mahadevan, L. (2022). Statistics and topology of fluctuating ribbons. Proceedings of the National Academy of Sciences of the United States of America, 119(32), e2122907119-.
dc.description.abstractRibbons are a class of slender structures whose length, width, and thickness are widely separated from each other. This scale separation gives a ribbon unusual mechanical properties in athermal macroscopic settings, for example, it can bend without twisting, but cannot twist without bending. Given the ubiquity of ribbon-like biopolymers in biology and chemistry, here we study the statistical mechanics of microscopic inextensible, fluctuating ribbons loaded by forces and torques. We show that these ribbons exhibit a range of topologically and geometrically complex morphologies exemplified by three phases-a twist-dominated helical phase (HT), a writhe-dominated helical phase (HW), and an entangled phase-that arise as the applied torque and force are varied. Furthermore, the transition from HW to HT phases is characterized by the spontaneous breaking of parity symmetry and the disappearance of perversions (that correspond to chirality-reversing localized defects). This leads to a universal response curve of a topological quantity, the link, as a function of the applied torque that is similar to magnetization curves in second-order phase transitions.en_US
dc.description.sponsorshipNanyang Technological Universityen_US
dc.relation.ispartofProceedings of the National Academy of Sciences of the United States of Americaen_US
dc.rights© 2022 the Author(s). Published by PNAS. This article is distributed under Creative Commons Attribution-NonCommercial-NoDerivatives License 4.0 (CC BY-NC-ND).en_US
dc.titleStatistics and topology of fluctuating ribbonsen_US
dc.typeJournal Articleen
dc.contributor.schoolSchool of Physical and Mathematical Sciencesen_US
dc.description.versionPublished versionen_US
dc.subject.keywordsStatistical Mechanicsen_US
dc.subject.keywordsPolymer Physicsen_US
dc.description.acknowledgementE.H.Y. and F.D. acknowledge support from Nanyang Technological University, Singapore, under its Start Up Grant Scheme(04INS000175C230). L.G. is supported by the European Union via the ERC-CoG Grant HexaTissue and by Netherlands Organization for Scientific Research (Ministry of Education, Culture & Science), as part of the Vidi scheme. L.M. thanks the NSF Harvard MRSEC DMR 2011754, NSF EFRI 1830901, the Simons Foundation, and the Henri Seydoux Fund for partial financial support.en_US
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