title: Elasticity and Fluctuations of Frustrated Nanoribbons.
abstract: We derive a reduced quasi-one-dimensional theory of geometrically frustrated elastic ribbons. Expressed in terms of geometric properties alone, it applies to ribbons over a wide range of scales, allowing the study of their elastic equilibrium, as well as thermal fluctuations. We use the theory to account for the twisted-to-helical transition of ribbons with spontaneous negative curvature and the effect of fluctuations on the corresponding critical exponents. The persistence length of such ribbons changes nonmonotonically with the ribbon's width, dropping to zero at the transition. This and other statistical properties qualitatively differ from those of nonfrustrated fluctuating filaments.
authors.affiliation: Racah Institute of Physics, Hebrew University, Jerusalem 91904, Israel.
authors.forename: Doron
authors.initials: D
authors.lastname: Grossman
authors.affiliation: Racah Institute of Physics, Hebrew University, Jerusalem 91904, Israel.
authors.forename: Eran
authors.initials: E
authors.lastname: Sharon
authors.affiliation: Raymond and Beverly Sackler School of Chemistry, Tel Aviv University, Tel Aviv 6997801, Israel.
authors.forename: Haim
authors.initials: H
authors.lastname: Diamant