Thermal stiffening of clamped elastic ribbons

Duanduan Wan, David R. Nelson, Mark John Bowick

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

We use molecular dynamics to study the vibrations of a thermally fluctuating two-dimensional elastic membrane clamped at both ends. We directly extract the eigenmodes from resonant peaks in the frequency domain of the time-dependent height and measure the dependence of the corresponding eigenfrequencies on the microscopic bending rigidity of the membrane, taking care also of the subtle role of thermal contraction in generating a tension when the projected area is fixed. At finite temperatures we show that the effective (macroscopic) bending rigidity tends to a constant as the bare bending rigidity vanishes, consistent with theoretical arguments that the large-scale bending rigidity of the membrane arises from a strong thermal renormalization of the microscopic bending rigidity. Experimental realizations include covalently bonded two-dimensional atomically thin membranes such as graphene and molybdenum disulfide or soft matter systems such as the spectrin skeleton of red blood cells or diblock copolymers.

Original languageEnglish (US)
Article number014106
JournalPhysical Review B
Volume96
Issue number1
DOIs
StatePublished - Jul 11 2017

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stiffening
rigidity
Rigidity
ribbons
membranes
Membranes
molybdenum disulfides
Spectrin
Graphite
erythrocytes
disulfides
musculoskeletal system
Graphene
Molybdenum
Block copolymers
contraction
Molecular dynamics
copolymers
graphene
Blood

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

Thermal stiffening of clamped elastic ribbons. / Wan, Duanduan; Nelson, David R.; Bowick, Mark John.

In: Physical Review B, Vol. 96, No. 1, 014106, 11.07.2017.

Research output: Contribution to journalArticle

Wan, Duanduan ; Nelson, David R. ; Bowick, Mark John. / Thermal stiffening of clamped elastic ribbons. In: Physical Review B. 2017 ; Vol. 96, No. 1.
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