Elasticity and Fluctuations of Frustrated Nanoribbons

Doron Grossman, Eran Sharon, Haim Diamant

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish
Article number258105
JournalPhysical Review Letters
Volume116
Issue number25
DOIs
StatePublished - 22 Jun 2016

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