Thermal crumpling of perforated two-dimensional sheets

David Yllanes, Sourav S. Bhabesh, David R. Nelson, Mark John Bowick

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

Thermalized elastic membranes without distant self-avoidance are believed to undergo a crumpling transition when the microscopic bending stiffness is comparable to kT, the scale of thermal fluctuations. Most potential physical realizations of such membranes have a bending stiffness well in excess of experimentally achievable temperatures and are therefore unlikely ever to access the crumpling regime. We propose a mechanism to tune the onset of the crumpling transition by altering the geometry and topology of the sheet itself. We carry out extensive molecular dynamics simulations of perforated sheets with a dense periodic array of holes and observe that the critical temperature is controlled by the total fraction of removed area, independent of the precise arrangement and size of the individual holes. The critical exponents for the perforated membrane are compatible with those of the standard crumpling transition.

Original languageEnglish (US)
Article number1551
JournalNature Communications
Volume8
Issue number1
DOIs
StatePublished - Dec 1 2017

Fingerprint

Hot Temperature
membranes
Membranes
stiffness
Stiffness
Temperature
avoidance
Molecular Dynamics Simulation
Molecular dynamics
critical temperature
topology
Topology
exponents
molecular dynamics
Geometry
Computer simulation
geometry
simulation
temperature

ASJC Scopus subject areas

  • Chemistry(all)
  • Biochemistry, Genetics and Molecular Biology(all)
  • Physics and Astronomy(all)

Cite this

Yllanes, D., Bhabesh, S. S., Nelson, D. R., & Bowick, M. J. (2017). Thermal crumpling of perforated two-dimensional sheets. Nature Communications, 8(1), [1551]. https://doi.org/10.1038/s41467-017-01551-y

Thermal crumpling of perforated two-dimensional sheets. / Yllanes, David; Bhabesh, Sourav S.; Nelson, David R.; Bowick, Mark John.

In: Nature Communications, Vol. 8, No. 1, 1551, 01.12.2017.

Research output: Contribution to journalArticle

Yllanes, D, Bhabesh, SS, Nelson, DR & Bowick, MJ 2017, 'Thermal crumpling of perforated two-dimensional sheets', Nature Communications, vol. 8, no. 1, 1551. https://doi.org/10.1038/s41467-017-01551-y
Yllanes, David ; Bhabesh, Sourav S. ; Nelson, David R. ; Bowick, Mark John. / Thermal crumpling of perforated two-dimensional sheets. In: Nature Communications. 2017 ; Vol. 8, No. 1.
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